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Report Card Comments for Math

Overall Performance and Improvement

Positive Comments:

___________ has a good attitude towards the math work at this grade level. Please continue to work on ___________ daily.

At this point, ___________ has successfully learned _____________. [He/she] is now able to start a daily practice of ____________.

___________ has a true enthusiasm and gift for math. His effort is reflected in his high grades. He is also an excellent classmate, as he frequently assists other students with concepts.

___________ has shown impressive progress in understanding complex math concepts. [His/her] consistent effort is commendable.

___________ has shown a clear improvement in [his/her] math skills this term. The consistent practice is paying off, keep it up!

___________ displays a positive approach towards problem-solving tasks in math. [His/her] willingness to tackle challenging problems is noteworthy.

Needs Improvement Comments:

___________ has worked hard in math this quarter. However, [his/her] progress has been slower than I would have liked. Can we meet to discuss some helpful strategies?

___________ would benefit from more practice with ___________. If possible, could you please spend some time daily on this skill?

It would be helpful if ___________ practiced _______________ daily.

___________ is struggling with motivation in learning math. I know [he/she] can put in more effort than [he/she] has been recently. If possible, could you please reinforce this?

___________ still needs strengthening in the concept of ___________.

___________ is having trouble with many of the basic math skills. Can we meet to discuss some helpful strategies?

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Understanding of Concepts

___________ shows excellent understanding of mathematical concepts, which is reflected in [his/her] problem-solving abilities.

___________ consistently demonstrates a deep comprehension of all math topics we've covered.

___________ has a strong grasp of mathematical concepts and can apply them creatively in different contexts.

___________ demonstrates a robust understanding of concepts, consistently making connections between different areas of math.

___________ effectively translates their understanding of mathematical concepts into accurate and efficient problem-solving.

___________ often struggles to apply mathematical concepts to solve problems. Additional practice could be beneficial.

___________ seems to have difficulty understanding some of the math concepts we've covered. Extra support may be helpful.

___________ frequently makes mistakes that indicate a misunderstanding of key math concepts.

___________ has trouble relating mathematical concepts to real-world applications. More practice in this area could be beneficial.

___________ often seems confused when trying to apply math concepts during problem-solving. Additional review and practice might help solidify understanding.

Problem Solving Skills

___________ consistently demonstrates strong problem solving skills in math.

___________ effectively applies various strategies to find solutions to complex math problems.

___________ shows a clear ability to break down problems and work through them step by step.

___________ often comes up with multiple approaches to solve a single problem, showing great flexibility in [his/her] thinking.

___________ consistently shows perseverance in solving challenging problems and doesn't give up easily.

___________ often struggles when faced with complex math problems and could benefit from extra practice.

___________ tends to give up quickly when faced with challenging problems. Encourage perseverance and trying different strategies.

___________ often overlooks important details in problems, leading to incorrect solutions. More careful reading and analysis could be beneficial.

___________ struggles with applying learned strategies to new problems. Continued practice is needed.

___________ has difficulty in breaking down complex problems into smaller, manageable steps. Working on this skill could improve [his/her] problem-solving abilities.

Arithmetic and Operations

___________ demonstrates strong skills in arithmetic and handles complex operations with ease.

___________ has shown impressive improvement in arithmetic operations this term. Keep up the good work!

___________ has a solid understanding of basic arithmetic concepts and applies them correctly in problem-solving.

___________ is able to accurately perform arithmetic operations, even under time pressure.

___________ excels in arithmetic operations and consistently produces accurate results.

___________ often makes errors in arithmetic calculations. More practice would be beneficial.

___________ struggles with complex arithmetic operations and could benefit from additional support.

___________ has difficulty remembering the steps in long division. Continued practice at home would be helpful.

___________ struggles with basic arithmetic operations. Regular practice will help reinforce these skills.

___________ tends to rush through arithmetic operations, leading to errors. Encourage them to take their time and double-check [his/her] work.

Arithmetic and Operations — Elementary School Comments

At this point, ___________ has successfully learned all of the addition facts through ten. [He/she] is now able to start regular practice of the subtraction facts through ten.

___________ has done well learning the multiplication table.

___________ understands the plus, minus, and equal signs, and uses them to make number statements.

___________ understands and uses basic facts of addition and subtraction.

___________ can use manipulatives to add and subtract.

___________ can [add/subtract/multiply/divide] basic fractions.

However, it would be helpful if ___________ practiced [his/her] multiplication facts regularly.

___________ has difficulty retaining math processes of addition, etc.

Arithmetic and Operations — Middle School Comments

___________ understands basic equations and can solve for one variable.

___________ understands basic equations and can solve for multiple variables.

___________ can [add/subtract/multiply/divide] advanced fractions and mixed numbers.

___________ understands and can solve [pre-algebraic/algebraic] expressions and equations.

___________ exhibits proficiency in using order of operations to simplify expressions.

___________ is successful at applying properties of operations when simplifying algebraic expressions.

___________ struggles with understanding the concept of ratios and proportional relationships.

___________ is showing improvement in solving real-world math problems involving percentages.

Numbers and Number Sense

___________ has a solid understanding of number concepts and applies them effectively.

___________ uses number sense to solve problems and justify solutions effectively.

___________ demonstrates a strong ability to identify and work with number patterns.

___________ has made significant progress in understanding and applying number concepts.

___________ consistently shows a clear understanding of place value in [his/her] work.

___________ is having difficulty understanding the concept of place value.

___________ struggles with identifying and working with number patterns.

___________ needs to work on [his/her] understanding of number concepts and their application.

___________ often confuses number facts and needs to practice more.

___________ needs to improve [his/her] ability to use number sense in problem-solving.

Numbers and Number Sense — Elementary School Comments

___________ can work with numbers up to ___ with understanding.

___________ is still reversing some numbers.

___________ understands place value up to _____.

___________ can use manipulatives to show place value to _____.

___________ can count to ______.

___________ relies heavily on concrete objects.

___________ is beginning to memorize the number facts.

___________ does not know [his/her] math facts well.

Numbers and Number Sense — Middle School Comments

___________ understands and can represent [basic/intermediate/advanced] fractions.

___________ understands the basic concepts of decimal notation.

___________ understands and can [add/subtract/multiply/divide] using decimal notation.

___________ knows how to identify and work with number patterns.

___________ demonstrates proficiency in the use of scientific notation.

___________ shows excellent understanding of square roots and exponents.

___________ is skilled in rounding and estimating large numbers.

___________ effectively applies the principles of probability in problem-solving scenarios.

Money and Measurement

___________ has shown a deep understanding of the concepts of money and measurement. [He/She] can accurately use different units of measurement and understand the value of different currencies.

___________ has done exceptionally well in understanding and applying the concept of measurements in practical situations.

___________ shows a strong ability to convert between different units of measurement.

___________ has demonstrated a strong understanding of the value of money and can make accurate calculations involving money.

___________ has a solid grasp on time measurements and can accurately tell the time using both digital and analog clocks.

___________ is struggling with the concept of measurements; further practice and understanding are required.

___________ needs to work on understanding the value of money and how to calculate with it.

___________ often confuses units of measurement and could benefit from additional practice.

___________ has difficulty with time measurements and could use more practice reading clocks.

___________ struggles with applying measurement concepts in practical scenarios and could benefit from additional real-world examples.

Money and Measurement — Elementary School Comments

___________ understands the basics of money and coins (pennies, dimes, nickels).

___________ understands the types of currency (pennies, dimes, nickels, quarters, dollars).

___________ understands how to use coins and bills of different denominations to pay for items and make change.

___________ understands and can use basic units of measure for length, width, and height, including [inches/feet/centimeters/meters].

___________ understands and can use basic units of measure for volume, mass, and weight, including [ounces/pounds].

___________ understands and can use basic units of measure for distance of travel [and/or} time, including [feet/yards/miles, seconds/minutes/hours].

___________ understands and can use basic units of measure for temperature, including [Fahrenheit].

___________ knows how to tell time by reading a clock, and can effectively use seconds, minutes, and hours to describe time.

___________ can use a ruler to measure [inches/feet/yards].

___________ effectively uses common measurement tools including [ruler, protractor, scale, thermometer, clock] to solve measurement problems.

Money and Measurement — Middle School Comments

___________ understands the basics of financial literacy and the role of currency in personal and economic affairs.

___________ understands and can use basic units of measure for length, width, and height, including [meters].

___________ understands and can use basic units of measure for volume, mass, and weight, including [tons/kilograms].

___________ understands and can use basic units of measure for distance of travel [and/or} time, including [kilometers, hours].

___________ understands and can use basic units of measure for temperature, including [Centigrade].

___________ can use a ruler to measure [milimeters/centimeters/meters].

___________ has learned how to convert U.S. measurements to metric measurements, including [milimeters/centimeters/meters/kilometers, kilograms, Centigrade].

_______ has a strong understanding of geometric concepts and applies them effectively in problem-solving.

_______ shows an impressive ability to identify and work with shapes and angles.

_______ demonstrates a keen understanding of [2D and/or 3D] shapes.

_______ excels in applying geometric principles to real-world problems.

_______ consistently demonstrates a clear understanding of [area/perimeter/volume].

_______ often confuses different types of angles and shapes. More practice would be beneficial.

_______ is struggling with the concept of volume and could benefit from additional exercises.

_______ has difficulty understanding and applying the concept of area.

_______ struggles with identifying and applying geometric principles in problem-solving tasks.

_______ often makes errors when trying to calculate the perimeter of complex shapes.

Geometry — Elementary School Comments

_______ knows the basic shapes.

_______ understands the differences between 2-dimensional and 3-dimensional shapes.

_______ knows the basic angles and types of triangles.

_______ understands the basic concept[s] of [area/perimeter].

_______ understands the basic concept[s] of [volume/mass].

_______ understands and can use the basic concept[s] of [area/perimeter] to solve problems.

_______ understands and can use the basic concept[s] of [volume/mass] to solve problems.

Geometry — Middle School Comments

_______ understands and can use the basic concept[s] of [points/lines] to solve problems.

_______ understands and can use advanced geometric concepts to solve problems.

_______ demonstrates a strong ability to identify, compare, and analyze shapes and their properties.

_______ excels in calculating the area and volume of complex geometric figures.

_______ can apply the principles of symmetry, congruence, and similarity in geometric problems.

_______ displays a deep understanding of coordinate plane concepts and can plot points accurately.

_______ is proficient in using geometric formulas and theorems to solve algebraic equations.

Graphs and Charts

_______ can create graphs using simple data.

_______ understands several methods of graphing.

_______ can effectively synthesize and present complex data in [bar graphs, line graphs, pie charts, visualizations, tables], and explain correlations.

_______ skillfully interprets graphical data and uses it to inform problem-solving strategies.

_______ exhibits a strong ability to construct and analyze scatter plots and understands their relationship with linear equations.

_______ often struggles with interpreting data from graphs and charts. Working on this at home would be beneficial.

_______ needs to improve [his/her] ability to construct accurate and meaningful graphs from given data.

_______ frequently has difficulty understanding the correlation between variables in a scatter plot. More practice with this concept would be helpful.

_______ should work on using graphs and charts effectively to support problem-solving strategies.

_______ has trouble creating pie charts and bar graphs accurately. Continued practice in this area is needed.

Participation in Class

___________ actively participates in all class discussions and regularly contributes valuable insights.

___________ is always eager to answer questions in class, showing a great understanding of the subject.

___________ often takes the lead in group activities, demonstrating strong leadership skills.

___________ consistently engages with the lesson and asks thoughtful questions.

___________ effectively collaborates with peers during group work, demonstrating team spirit.

___________ rarely participates in class discussions. Encouraging more active engagement would be beneficial.

___________ often hesitates to ask questions, even when struggling with a concept. Remind them that asking for clarification is part of learning.

___________ tends to work alone during group activities. Encouraging teamwork might enhance their learning experience.

___________ often seems distracted during class. Focusing on the lesson can significantly improve their understanding.

___________ seldom contributes to class discussions. More active participation would be beneficial.

Work Habits

___________ shows a strong interest in math and actively engages in-class activities.

___________ regularly contributes to class discussions with insightful questions and comments.

___________ demonstrates a solid understanding of math concepts during group work and discussions.

___________ takes initiative to help others understand difficult math concepts.

___________ consistently completes math assignments on time and shows a high level of dedication.

___________ rarely engages in math-related discussions. Encourage more active participation.

___________ often appears distracted during math lessons. More focus would be beneficial.

___________ struggles to meet deadlines for math assignments. Better time management could help.

___________ rarely asks for help, even when struggling with math concepts. Encourage asking questions.

___________ tends to work independently, even during group activities. More teamwork is needed.

Use of Tools and Strategies

___________ effectively uses a variety of tools and strategies to solve math problems.

___________ consistently applies learned strategies to new math challenges.

___________ demonstrates a strong ability to choose suitable tools for different math tasks.

___________ is adept at using technology to enhance [his/her] understanding in math.

___________ skillfully applies a range of strategies to understand complex math concepts.

___________ struggles with selecting the appropriate strategy for problem-solving tasks.

___________ could benefit from a wider range of strategies to approach math problems.

___________ often relies on one strategy, even when it may not be the most efficient.

___________ has difficulty in using mathematical tools effectively.

___________ could improve in utilization of technology to aid in understanding math.

More Report Card Comments and Phrases.

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42 Math Report Card Comments Examples and Template for Teachers

Preparing report cards for your math students? Let’s help you skip the most frustrating part with these math report card comment examples and templates.

You can use these comments to effortlessly write comments in minutes and save hours.

42 Math Report Card Comments

End of the year math report card comments.

• {year} has been great overall for {student’s name}. {he/she} has developed great study habits that have resulted in a significant improvement in her {math topic} this year.
• {student’s name} has shown a significant improvement in {math topic} this year. Please continue working on {math topic} over this summer to improve your skills.
• {he/she} will benefit greatly from reading the following math books this summer: {name of the books}.
• To improve {student’s name}’s math skills, {he/she} must improve {his/her} {math skill 1} and {math skill 2}.
• It was great to have {student’s name} in my math class this year.
• {student’s name} is a hard-working student. I have seen {his/her}progress this year in {mathematical topic} and it is impressive to see the progress {he/she} made.
• {student’s name} needs to improve on {mathematical topic 1} and {mathematical topic 2} this year if {he/she} wants to succeed in the {e.g. eighth} grade.
• {student’s name} should continue working on {mathematical topic} exercises this summer to improve his performance next year.
• While I didn’t get to know {student’s name} very well, I can certainly tell {he/she}’s a very bright student and has an excellent grasp of {mathematical topic}.

Related : Algebra report card comments

Math Report Card Comments for Struggling Students

• {student’s name} struggles with completing {his/her} math homework in a timely manner.
• {student’s name} is having a difficult time with {mathematical topic}. Practicing {mathematical topic} more would help {student’s name} overcome it.
• {student’s name} would benefit from {mathematical} exercise everyday.

Geometry Math Report Card Comments

Geometrical concepts math report card comment templates.

• {student’s name}has a good understanding of geometrical concepts.
• {student’s name}has a poor understanding of geometrical concepts.
• {student’s name}has an excellent understanding of geometrical concepts.

Triangle - Geometry Math Report Card Comment Templates

• {student’s name} struggles with the understanding of obtuse, acute, and right triangles.
• {student’s name} has a good understanding of obtuse, acute, and right triangles.
• {student’s name} has an excellent understanding of obtuse, acute, and right triangles.

Geometry Skill Level Math Report Card Comment Templates

• {student’s name} has a good understanding of {geometry skill(s)} and has an excellent understanding of various geometry concepts.
• {student’s name} has a good understanding of {geometry skill}, however {he/she} needs to improve upon {geometry skill 2} and {geometry skill 3}.
• {student’s name} has a very poor understanding of {geometry skills(s)} and should do {revision/exercises/etc} on a {daily/weekly} basis.

Area and Volume - Geometry Math Report Card Comment Templates

• When it comes to the perimeter, surface area, and volume - {student’s name} struggles to understand them.
• {student’s name}has a good understanding of perimeter, surface area, and volume.
• When it comes to perimeter, surface area and volume - {student’s name} understands {perimeter/surface area/volume}, but struggles to understand and calculate {perimeter/surface area/volume}.

Shapes - Geometry Math Report Card Comment Templates

• {student’s name} can differentiate between various shapes perfectly.
• {student’s name} can differentiate between some shapes, but not all. {he/she} needs to address it to reach a good level of understanding of geometric shapes.
• {student’s name} struggles with identifying geometric shapes and needs to work hard on it.

Application of Geometric Concepts - Math Report Card Comment Templates

• {student’s name} understands basic geometric concepts and can apply them very well to solve mathematical problems.
• While {student’s name} understands basic geometric concepts, {he/she} finds it difficult to solve mathematical problems focused around certain geometric concepts.
• {student’s name}struggles with understanding basic geometric concepts. {he/she} needs to work hard to understand {geometric concept(s)} in order to solve mathematical problems around these concepts.

Advanced Geometry - Math Report Card Comment Templates

• {student’s name} is excellent at learning advanced geometry concepts like {advanced geometry topic}.
• {student’s name} shows interest in learning advanced geometry concepts. I would recommend {book/course/class} for {student’s name} to learn these advanced concepts better.

General Math Report Card Comments

• {student’s name} pays attention to math, but is facing difficulty with understanding {math topic 1}, {math topic 2} and {math topic 3}.
• {student’s name} is struggling with math. I recommend that {he/she} improves {topic 1}, {topic 2} and {topic 3} by {studying/practicing} {suggestion 1} and {suggestion 2}.
• {student’s name} understands all mathematical concepts taught in class very well. {he/she} can communicate his understanding of these topics very well. {student’s name} also helps {his/her} peers when they hit roadblocks.
• {student’s name} when put {his/her} efforts delivers better results and learns more effectively. {student’s name} needs to be encouraged routinely so that {he/she} can put more effort into learning math with confidence.
• {student’s name} faces issues with concentrating when in class and as a result will face issues in learning advanced mathematical concepts in other grades.
• {student’s name} is often distracted during math class and never finishes their homework. It will be difficult for {him/her} to improve as we move towards harder mathematical topics like {topic 1} and {topic 2}.
• {student’s name} is attentive and learns well during math class. However, {he/she} isn’t practicing their math skills before the math tests which is reflected in lower grades. Starting practicing these questions a week or two before the math test will help {student’s name} get better grades.
• {student’s name} is facing issues with the following mathematical topics: {add topics here}. I would recommend you make sure that {he/she}works on their assignments to overcome these. Additionally, I will send out new monthly math assignments for students around {mathematical topic}, I would suggest that {student’s name} finish them a week before the math test too.
• {student’s name} has done a great job of understanding math concepts, math problem solving, and communication. I would recommend that {he/she} put a bit more effort into practicing more {mathematical topic} problems.
• {student’s name} has improved their math skills considerably. To improve {his/her} test scores in math, {he/she} needs to improve calculation speed.

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160 Math Report Card Comments in 2024

Report cards are a great way for teachers to concisely communicate their thoughts to parents and students.

They provide an opportunity for students to reflect on their work so far and make changes as necessary.

Studies show that a majority of parents (64%) believe report cards are an important way to understand how their child is doing academically .

However, if you're a teacher, writing math report card comments can sometimes be tedious, repetitive, and extremely time-consuming.

If you’ve found yourself procrastinating on writing report cards until the last minute - we have you covered!

In this post, we’ll go through over 100 math report card comments that you can use as templates to make writing report cards a breeze.

Why Are Math Report Card Comments Important?

For students learning math, getting feedback is crucial to learning and doing better. It is important for students to see what they are doing right and what they are doing wrong so that they know what to improve on and what to continue doing.

Not only that, but report card comments create a link between the teacher and the student or parent. It provides an opportunity for quality feedback for both the parent and student.

Whether you're getting feedback on Math, English, or other subjects ( ESL ), report card comments are crucial to learning

Studies show that parental involvement in a child's education improves attendance, behavior, grades, and more.

Check out the best Chrome Extensions & EdTech Tools for time-saving tools for teachers in 2024!

How to Automate Common Phrases & Report Card Comments

Although report card comments are crucial, they can also be frustrating and time-consuming to write.

If you have a class of 25 students and each student gets 3 comments on their math report card, then you have a whopping 75 comments to write. That can take a long time.

Text Blaze helps writing report card comments comments MUCH more efficient. Keyboard shortcuts help you insert common phrases, such as common feedback in report cards, with just a few taps on your keyboard.

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160 Math Report Card Comments

Need inspiration for math report card comments? Check out the following for ways to provide feedback to students in 2024.

Feel free to copy and use these templates anywhere with keyboard shortcuts using Text Blaze!

Copy templates to use them anywhere:

Problem Solving Abilities Comments

Grasp of mathematical concepts comments, arithmetic comments, geometry comments, use of graphs comments, measurement ability comments, comments for elementary school, comments for middle school, dynamic math report card generator template.

This template allows you to quickly create detailed math report card comments as well as personalize them to each student. Give it a try and start saving time today!

Math Report Card Comments Generator for {formtext: name=first name; default=John;cols=9} :

• Problem solving abilities: {formtoggle: name=gradually improving; default=yes}{formtext: name=first name; cols=8} is gradually improving their {formtext: name=insert math skill; cols=13}, but progress is slow due to {formtext: name=insert problem; cols=12}. {endformtoggle}{formtoggle: name=gets overwhelmed; default=no}When solving complex math word problems, {formtext: name=first name; cols=8} sometimes becomes overwhelmed with the information, especially for longer math word problems. {endformtoggle}{formtoggle: name=good vocab; default=no}{formtext: name=first name; cols=8} has a great vocabulary that helps {formmenu: name=gender; him; default=her} solve math word problems.{endformtoggle}
• Mathematical concepts: {formtoggle: name=addition understanding; default=yes}{formtext: name=first name; cols=8} has a {formmenu: name=rating; strong; default=average; weak} understanding of basic addition.{endformtoggle}{formtoggle: name=struggles with; default=no}{formtext: name=first name; cols=8} clearly displays a strong effort in math class, but still struggles with {formtext: name=insert math skill; cols=13}.{endformtoggle}{formtoggle: name=failing to memorize; default=no}{formtext: name=first name; cols=8} experiences difficulty in memorizing timetables.{endformtoggle}{formtoggle: name=strong grasp of; default=no}{formtext: name=first name; cols=8} demonstrates a {formmenu: name=rating; strong; default=average; weak} grasp of {formtext: name=insert math skill; cols=13}.{endformtoggle} Arithmetic: {formtoggle: name=good at arithmetic; default=yes}{formtext: name=first name; cols=8} is skilled in addition and subtraction, and can apply both concepts to word problems.{endformtoggle}{formtoggle: name=need more practice; default=no}{formtext: name=first name; cols=8} requires extra practice to excel in arithmetic.{endformtoggle} {formtoggle: name=should practice memorization; default=no}{formtext: name=first name; cols=8} has a solid understanding of how multiplication works, but could benefit from practicing timetable memorization more. {endformtoggle}{formtoggle: name=good at algebra; default=no}{formtext: name=first name; cols=8} has a solid grasp of algebra and can solve for multiple variables.{endformtoggle}

Want more templates? Check out our templates for educators page for more templates you can use today!

End of Year Report Card Comments Templates

Need to provide feedback to a student at the end of a semester or school year? Give the following templates a try to quickly provide end of year report card comments.

Provide High-Quality Student Feedback With Ease!

Writing math report card comments is important for students, yet it can be boring and take a while to do.

That’s why we created these templates to help you write your comments efficiently.

Text Blaze can help you write report card comments quicker so that you can get back to what’s important: teaching your students.

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180 Report Card Comments for All Grades in 2024

120 esl report card comments in 2024, two customizable esl writing rubric templates, 5+ vipkid feedback templates and examples.

30 Report Card Comments For Maths [PDF Included]

Last Updated on March 27, 2024 by Editorial Team

Math is all about numbers, different formulas, equations, and word problems. The usage of mathematics is evident in every field. Whether it is calculating the average score, aiming for the catch, or checking the density of an object, math is applied in almost all areas. As students learn the theories and practical usage of math, it is important to track and understand their progress.

Just as free progress monitoring tools for math help parents and teachers track the progress, another important source of feedback is the report card comments for math. Feedback plays a pivotal role in helping learners gauge their progress, foster growth, and identify specific areas where improvement is needed. It empowers them to adjust their approach and mindset towards the subject. Parents and teachers can easily map the gaps in learning and incorporate better teaching methods to enhance the growth of students.

However, It can be difficult to come up with numerous positive yet uplifting words and provide constructive feedback to a number of children while preparing a report card. Every child and their approach towards math is unique. Hence, it is important to draft report card comments that highlight the student’s caliber and areas of improvement. In this article, you will find quick math comments which can be used to draft report cards. These comments are thoughtfully drafted to provide comprehensive feedback to parents as well as students.

Tracking progress and evaluating performance: On-point math report card comments 

1. [ student’s name ] demonstrates a strong interest in mathematics and frequently looks for difficult math problems on their own. he/she has the capacity to do well in challenging arithmetic classes., 2. [ student’s name ] demonstrates a great aptitude for mental math and often tries to solve word problems quickly. he/she also shows interest in learning algebraic equations and comprehending different shapes in geometry. encouraging him/her will positively contribute to overall mathematical growth and progress., 3. [ student’s name ] occasionally has trouble finishing math assignments on time. little encouragement can help him/her develop a regular homework schedule and boost math performance., 4. [ student’s name ] is super active in class during math lectures and actively participates in discussions. he/she always has something fresh to share about math. offering the right resources will make him/her better at arithmetic calculations., 5. [ student’s name ] actively participates in class math discussions, asking meaningful questions, and contributing valuable insights. his/her passion for math education encourages other students too., 6. [ student’s name ] is always intrigued by real-world mathematical calculations and asks interesting questions. he/she does not hesitate to question the rules and formulas to better understand the concept., 7. [ student’s name ] is actively trying to strengthen his/her understanding of mathematical ideas. he/she actively participates in math discussions and is willing to practice the weaker concepts., 8. [ student’s name ] demonstrates a good understanding of the concepts taught in the class. he/she is keen on completing the math homework on time and with efficiency., 9. [ student’s name ] has a positive attitude towards learning however, he/she faces trouble in a remembering few formulas. he/she sometimes misses the steps in arriving at the final answers. consistent practice and mentoring would help him/her progress at a good pace., 10. [ student’s name ] is always eager to understand the root cause of math problems and tries to apply them in real life. he/she also actively participates in math activities fostering and strengthening the understanding of the concepts., 11. [ student’s name ] works efficiently with teams making other students interested in solving math problems. he/she is now able to tackle a few concepts of math independently. , 12. [ student’s name ] shows great enthusiasm in learning math building a strong relationship with numbers. he/she shares realistic math examples creating a fun learning time for fellow mates., 13. [ student’s name ] excels in group math assignments. he/she also exhibits a strong grasp of basic mathematical ideas. he/she is determined to get better and this is observed by his/her increased interest level., 14. [ student’s name ] demonstrates a good understanding of the fundamentals of math, however, there are times when he/she finds it difficult to put the knowledge to practical learning. real-world math examples will benefit him/her in understanding the concepts., 15. [ student’s name ] needs more chances to express his/her mathematical knowledge. to maximize his/her potential, promote interest in challenging math riddles and participation in math competitions. he/she will continue to grow with diversified learning methods., 16. [ student’s name ] is good in arithmetic but lacks confidence when participating in math discussions. he/she strives to apply math knowledge in assignments. his/her effort is valued, and a little encouragement can result in sharper focus and more self-assurance., 17. [ student’s name ] often engages in math discussions and actively participates in other math activities. he/she is able to understand the algebraic concepts and excels in geometry. he/she also cracks advanced math jokes to keep the environment engaging for other fellow mates., 18. while [ student’s name ] demonstrates a strong grasp of mathematical equations and formulas, they could benefit from more practice in geometry and shape comprehension. providing targeted resources and encouraging questions will help them strengthen these skills., 19. [ student’s name ] is very well organized in his/her math assignments. he/she submits math projects on time and often strikes up conversations after school to better understand math concepts. he/she is not hesitant to ask for help and has a positive attitude towards learning., 20. [ student’s name ] shows a desire to learn from mistakes and is keen to score more. he/she is dedicated to doing better and motivating words will go a long way in setting achievable math goals for him/her., 21. [ student’s name ] shows progressive growth in mental math abilities. he/she tries her best to ask queries and use math manipulatives. he/she should try to be organized and maintain a math journal to practice the basic math formulas., 22. [ student’s name ] has shown consistent growth in arithmetic skills. his/her tenacity and courage to pick up concepts after failure is absolutely admirable. he/she should try reading math books and understand the core elements of the subjects., 23. [ student’s name ] expresses his/her mathematical reasoning clearly in both written and spoken form. his/her explanations are understandable and aid peers in comprehending concepts., 24. [ student’s name ] has significantly benefited by using math manipulatives in class. he/she tries to explore the concepts through application. providing real-life examples and consistent practice can help him/her solidify the understanding of the concepts., 25. [ student’s name ] demonstrates the ability to learn concepts and is quick at grasping formulas. he/she also encourages fellow mates to complete the math homework in their free time thereby initiating mathematical discussions., 26. [ student’s name ] is getting more comfortable solving difficult arithmetic problems. it is admirable how willing he/she is to take chances and try challenging ideas. encouraging words and consistent efforts will help him/her progress and foster overall mathematical growth., 27. [ student’s name ] has developed a solid understanding of math concepts and pays attention during class. he/she still needs more practice with geometrical concepts and the use of different scales. engaging in math activities and discussions can help him/her strengthen their understanding of the concepts., 28. [ student’s name ] has overcome the fear of mathematical calculations as observed from the progress made in tests. he/she regularly asks doubts and is confident to learn over and over again. his/her determination will lead to better marks in the subject., 29. [ student’s name ] shows excellent performance in math competitions and other math activities. he/she is super active in class and always ready with answers. he/she also enjoys challenging arithmetic and geometry word problems., 30. [ student’s name ] helps other fellow mates with mathematical calculations and formulas. he/she enjoys hands-on math activities. a little encouragement can make him/her better at mental math..

Wrapping up

Feedback is one of the helpful ways for teachers, parents, and students to keep a check on progress and evaluate efforts effectively. Math report card comments not only highlight the weak areas but also help educators and parents strengthen the student’s attitude towards their math capabilities. 

As these math report card comments are personalized and cater to different students, they often help in understanding a student’s overall take on math. It also allows teachers to thoroughly understand student’s levels and provide constructive feedback accordingly making the report card more genuine and efficient as a means of feedback.

An engineer, Maths expert, Online Tutor and animal rights activist. In more than 5+ years of my online teaching experience, I closely worked with many students struggling with dyscalculia and dyslexia. With the years passing, I learned that not much effort being put into the awareness of this learning disorder. Students with dyscalculia often misunderstood for having  just a simple math fear. This is still an underresearched and understudied subject. I am also the founder of  Smartynote -‘The notepad app for dyslexia’, 

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Report Card Comments for Math

A Collection of Comments Regarding Students' Progress in Math

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• M.S., Education, Buffalo State College
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Writing personalized report card comments and phrases for each of your students is hard work, especially for math. Elementary students cover a lot of mathematical ground each year and a teacher must try to neatly summarize their progress in brief report card comments without leaving any significant information out. Use the following phrases to make this part of your job a little bit easier. Tweak them to make them work for your students.

Phrases That Describe Strengths

Try some of the following positive phrases that tell about a student's strength in your report card comments for math. Feel free to mix and match chunks of them as you see fit. The bracketed phrases can be swapped out for more appropriate  grade-specific learning targets .

Note: Avoid superlatives that aren't all that illustrative of skill such as, "This is their  best  subject," or, "The student demonstrates  most  knowledge about this topic." These don't help families to really understand what it is that a student can or can't do. Instead, be specific and use action verbs that precisely name a student's abilities.

The student:

• Is on track to develop all necessary skills and strategies for successfully [adding and subtracting within 20] by the end of the year.
• Demonstrates an understanding of the relationship between [multiplication and division and comfortably transitions between the two].
• Uses data to create charts and graphs with up to [three] categories.
• Uses knowledge of [place value concepts] to [accurately compare two or more two-digit numbers].
• Effectively uses supports such as [number lines, ten frames, etc.] to solve mathematical problems independently.
• Can name and simplify the resulting fraction when a whole is divided into b equal parts and a parts are shaded [where b is greater than or equal to ___ and a is greater than or equal to ___].
• Provides written justification of thinking and points to evidence to prove that an answer is correct.
• Estimates the length of an object or line in [centimeters, meters, or inches] and names an appropriate measuring tool for measuring its exact length.
• Accurately and efficiently categorizes/names [shapes based on their attributes].
• Correctly solves for unknown values in [addition, subtraction, multiplication, or division] problems involving [two or more quantities, fractions, decimals, etc.].
• Consistently applies grade-level problem-solving strategies independently when presented with unfamiliar problems.
• Describes real-world applications of mathematical concepts such as [counting money, finding equivalent fractions, mental math strategies, etc.].

Phrases That Describe Areas for Improvement

Choosing the right language for areas of concern can be tough. You want to tell families how their child is struggling in school and convey urgency where urgency is due without implying that the student is failing or hopeless.

Areas for improvement should be support- and improvement-oriented, focusing on what will benefit a student and what they will  eventually  be able to do rather than what they are currently unable to do.  Always assume that a student will grow.

• Is continuing to develop skills needed for [partitioning shapes into equal parts]. We will continue practicing strategies for ensuring that these parts are equal.
• Demonstrates an ability to order objects by length but does not yet use units to describe the differences between them.
• Fluently [subtracts 10 from multiples of 10 through 500]. We are working on developing essential mental math strategies for this.
• Applies problem-solving strategies for [addition, subtract, multiplication, or division] when prompted. A goal moving forward is increased independence using these.
• Solves [single-step word problems] accurately with extra time. We will continue to practice doing this more efficiently as our class prepares to solve [two-step word problems].
• Begins to describe their process for solving word problems with guidance and prompting.
• Can convert fractions with [values less than 1/2, denominators not exceeding 4, numerators of one, etc.] into decimals. Shows progression toward our learning goal of doing this with more complex fractions.
• Additional practice with [ addition facts within 10] is needed as we continue [increasing the size and number of addends in problems] to achieve grade-level standards.
• Tells time accurately to the nearest hour. Continued practice with half-hour intervals is recommended.
• Can name and identify [squares and circles]. By the end of the year, they should also be able to name and identify [rectangles, triangles, and quadrilaterals].
• Writes [two-digit numbers in expanded form] but requires considerable support doing this with [three- and- four-digit numbers].
• Approaches the learning goal of being able to [skip-count by 10s to 100] with extended time and scaffolding. This is a good area to focus our attention on.
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• Strong Report Card Comments for Language Arts
• Thanksgiving Math Worksheets and Activities for Kids
• A Sample Student Lesson Plan for Writing Story Problems
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• 4th-Grade Math Word Problems

Effective Math Report Card Comments for Engaging Feedback

Introduction: Every teacher knows the transformative power of the right words on a student's report card, especially in a subject as critical as mathematics. The perfect blend of encouragement and constructive feedback can not only highlight a student's current achievement but also inspire their future academic journey. This guide is dedicated to helping K-12 educators craft meaningful math report card comments that motivate students, celebrate their successes, and gently guide them towards areas for improvement.

Understanding the Importance of Math Report Card Comments

Feedback in education, particularly in mathematics, serves as a mirror showing students their academic reflections. Tailored comments on a math report card go beyond mere grades; they tell the story of a student’s journey, challenges, and victories. Such personalized feedback is crucial for fostering a love for math, encouraging persistence in problem-solving, and building confidence in students' abilities.

Crafting Constructive Comments

Writing comments that are both encouraging and informative requires a balance. Here are a few tips:

• Be Specific : Highlight specific achievements or areas of struggle. Instead of "Good job," try "Excellent improvement in understanding algebraic expressions."
• Focus on Effort and Growth : Recognize the effort behind the work, not just the natural talent or final outcome.
• Offer Next Steps : Suggest ways to improve or concepts to focus on next.

Positive Comments for Excelling Students

• "Shows exceptional understanding of mathematical concepts and applies them effectively in problem-solving."
• "Continuously excels in finding creative solutions to complex math problems."
• "Demonstrates a strong ability to grasp advanced mathematical principles quickly."

Encouraging Comments for Students Needing Improvement

• "Has shown noticeable progress in understanding basic math concepts, keep up the hard work!"
• "With continued practice and focus, will surely master challenging math problems."
• "Encouraged to participate more in class to enhance mathematical reasoning skills."

Comments That Foster a Growth Mindset

• "Your perseverance in working through difficult problems is commendable."
• "Remember, making mistakes is part of learning in math. Your improvement is evident!"
• "Your willingness to tackle challenging math tasks shows your growing confidence."

Customizing Comments for Different Areas of Math

• Algebra : "Displays a solid understanding of algebraic expressions and uses them effectively in equations."
• Geometry : "Has a keen eye for geometric shapes and their properties. Encouraged to explore more complex theorems."
• Problem-solving : "Shows innovative problem-solving skills but should work on presenting solutions more clearly."

Crafting thoughtful, encouraging, and constructive math report card comments is an art that reflects our commitment as educators to our students' growth. By using the examples and tips provided, you can create feedback that not only acknowledges achievements but also guides students towards their full potential. Let's continue to inspire our future mathematicians, one comment at a time.

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Report Card Comments for Teachers: Math, Mathematics

• __ needs to memorize his/her basic addition and subtraction facts.
• __ has a solid understanding of all math concepts taught so far this year.
• __ has difficulty understanding and solving word problems.
• __ needs to practice reading time on analog clocks.
• __ needs to practice counting money.
• __'s speed and accuracy will improve greatly if he/she memorizes his/her basic multiplication and division facts.
• Math homework assignments are often handed in late or incomplete.
• __ needs to slow down and check his/her work carefully.
• __ seems to understand concepts taught, but often makes careless mistakes.
• __ is an excellent mathematician.
• __ is able to follow mathematical processes, but has difficulty explaining how answers are derived.
• __ could benefit from attending after-school math help sessions.
• __ is unable to read and write large numbers over 100,000.
• __ has difficult with math concepts that involve high-level problem-solving.
• __ has difficulty with multiple-step math problems.
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50 Quick Report Card Comments For Assessing Elementary Student Math Skills

When you have to write comments on your student's report card concerning math skills, it is very important that you give the parents of your student's information on how to correct the various issues. Remember, it is very important to include positive comments as well as constructional comments. In order to help your student progress, you will need to accurately inform their parents of their shortcomings and achievements. Below are 50 report card comments for assessing your student's math skills, and they will help you clearly organize your thoughts concerning your student's math skills.

1. This student is able to clearly understand addition as well as subtraction. He or she is showing a great interest in math and is quickly adopting the necessary skills.

2. _____ is increasing his or her ability to calculate and perform addition and subtraction and is confident in his or her ability to do so.

3. Is having difficulty with addition and takes more time to understand directions. I highly suggest going over addition rules and techniques with your child at home to help improve their skill level.

4. He or she is quickly learning how to skip count by two's, five's and ten's and is able to comprehend how this process works.

5. Your child is able to comprehend and remember all of the math skills he or she has been taught in this reporting period.

6. ____ is greatly improving over this reporting period, and is able to accurately solve addition and subtraction math problems.

7. This student is falling behind in their basic math skills, and in order to improve them I suggest working with them at home.

8. You child is able to successfully count to one-hundred without help or assistance from the teacher.

9. _____ is able to sufficiently compare numbers against each other using the appropriate terms taught. They are also able to clearly explain why the numbers are greater or less than the others.

10. You child is showing improvement in subtraction skills, and would show greater improvement with further home study.

11. ____ is disinterested in learning math skills and is having a difficult time remembering basic techniques.

12. This student is having a hard time showing their work with math problems, and requires additional assistance solving problems.

13. _____ needs to show improvement in their ability to solve basic addition math problems. I highly suggest performing regular home study to help improve this math skill.

14. Your child is falling behind in their basic math skills compared to the rest of the class.

15. Student is progressing nicely, and is showing constant improvement with their math skills and abilities.

16. _____ is showing a great attitude towards math. Please continue to work on basic math skills, such as addition, subtraction and multiplication with your child each night.

17. Your child would benefit from further practice of their math skills. If possible, it would be recommended to spend time reviewing their math skills nightly.

18. _____ understands the concept of mathematics using money (nickels, quarters, pennies and dollars).

19. Your child can now count to ____ without the assistance of the teacher.

20. _____ is beginning to memorize their numbers and basic addition. With further regular home study he or she will greatly improve their math skills.

21. This student is excelling in most of their math skills, but they need to begin concentrating on the following skills:

22. _____ is unable to easily remember facts and figures with his or her math skills. It would be beneficial to your child if you would review their daily assignments with them each night.

23. _____ has begun to understand addition and subtraction signs, and is able to solve basic mathematic problems with them.

24. This student is still reversing numbers.

25. _____ is continually showing difficulty in understanding some of the basic math problems. I would enjoy to have a meeting with you to discuss several different methods to help your child with these issues.

26. Your child is demonstrating the ability to understand various math concepts easily.

27. Communicates well with students, as well as with the teacher.

28. If _____ doesn't understand a problem, he or she is quick to ask questions and listen carefully to answers.

29. ______ is showing a great interest in mathematics and is improving his or her math skills quickly.

30. This student can solve problems with very little assistance from the teacher. You may want to work with your child on _______ in order to improve their knowledge.

31. _____ rarely solves problems independently, and requires the assistance of the teacher for the majority of their math problems.

32. Your child shows a basic understanding of their math skills, but still requires assistance applying these skills.

33. Can accurately solve basic mathematic problems.

34. _____ has successfully met all of the requirements up to this point, and is continually showing improvement and comprehension.

35. _____ is having difficulty explaining the rules of addition and subtraction. I suggest more home study within these areas. However, your child is exceeding in his or her other math skills.

36. _____ shows a lack of comprehension with their basic math skills.

37. This student needs to ask for additional help when performing their math problems.

38. _____ is moving too quickly throughout their work, and has many errors within their math skills. Needs to learn to slow down their pace when working with basic math problems.

39. Can appropriately demonstrate all basic math skills discussed throughout this reporting period.

40. _____ is helpful to other students and also can accurately give them help.

41. Your child enjoys solving problems for the class.

42. _____ excels in group activities and seems to work best within a group.

43. _____ needs assistance understanding decimals and multiplication.

44. This student has shown excellent worth ethics with their math skills and is developing ahead of his or her class.

45. _____ asks very few questions, but is showing a good understanding of their math skills.

46. _____ creates problem solving strategy's that are different from those taught.

47. Communicates their difficulties in understanding math problems.

48. _____ is not a afraid to ask questions about their math skills.

49. Can apply their mathematical knowledge with little to no errors.

50. _____ needs to double-check their answers prior to submitting them. Their work is frequented by minor errors that can be easily fixed by reviewing their problems.

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20 Effective Math Strategies To Approach Problem-Solving 

Katie Keeton

Math strategies for problem-solving help students use a range of approaches to solve many different types of problems. It involves identifying the problem and carrying out a plan of action to find the answer to mathematical problems.  

Problem-solving skills are essential to math in the general classroom and real-life. They require logical reasoning and critical thinking skills. Students must be equipped with strategies to help them find solutions to problems.

This article explores mathematical problem solving strategies, logical reasoning and critical thinking skills to help learners with solving math word problems independently in real-life situations. 

What are problem-solving strategies?

Problem-solving strategies in math are methods students can use to figure out solutions to math problems. Some problem-solving strategies: 

• Draw a model
• Use different approaches
• Check the inverse to make sure the answer is correct

Students need to have a toolkit of math problem-solving strategies at their disposal to provide different ways to approach math problems. This makes it easier to find solutions and understand math better. 

Strategies can help guide students to the solution when it is difficult ot know when to start.

The ultimate guide to problem solving techniques

Download these ready-to-go problem solving techniques that every student should know. Includes printable tasks for students including challenges, short explanations for teachers with questioning prompts.

20 Math Strategies For Problem-Solving

Different problem-solving math strategies are required for different parts of the problem. It is unlikely that students will use the same strategy to understand and solve the problem. 

Here are 20 strategies to help students develop their problem-solving skills. 

Strategies to understand the problem

Strategies that help students understand the problem before solving it helps ensure they understand: 

• The context
• What the key information is
• How to form a plan to solve it

Following these steps leads students to the correct solution and makes the math word problem easier .

Here are five strategies to help students understand the content of the problem and identify key information. 

1. Read the problem aloud

Read a word problem aloud to help understand it. Hearing the words engages auditory processing. This can make it easier to process and comprehend the context of the situation.

2. Highlight keywords 

When keywords are highlighted in a word problem, it helps the student focus on the essential information needed to solve it. Some important keywords help determine which operation is needed.  For example, if the word problem asks how many are left, the problem likely requires subtraction.  Ensure students highlight the keywords carefully and do not highlight every number or keyword. There is likely irrelevant information in the word problem.

3. Summarize the information

Read the problem aloud, highlight the key information and then summarize the information. Students can do this in their heads or write down a quick summary.  Summaries should include only the important information and be in simple terms that help contextualize the problem.

4. Determine the unknown

A common problem that students have when solving a word problem is misunderstanding what they are solving. Determine what the unknown information is before finding the answer.  Often, a word problem contains a question where you can find the unknown information you need to solve. For example, in the question ‘How many apples are left?’ students need to find the number of apples left over.

5. Make a plan

Once students understand the context of the word problem, have dentified the important information and determined the unknown, they can make a plan to solve it.  The plan will depend on the type of problem. Some problems involve more than one step to solve them as some require more than one answer.  Encourage students to make a list of each step they need to take to solve the problem before getting started.

Strategies for solving the problem 

1. draw a model or diagram.

Students may find it useful to draw a model, picture, diagram, or other visual aid to help with the problem solving process.  It can help to visualize the problem to understand the relationships between the numbers in the problem. In turn, this helps students see the solution.

Similarly, you could draw a model to represent the objects in the problem:

2. Act it out

This particular strategy is applicable at any grade level but is especially helpful in math investigation in elementary school . It involves a physical demonstration or students acting out the problem using movements, concrete resources and math manipulatives .  When students act out a problem, they can visualize and contectualize the word problem in another way and secure an understanding of the math concepts.  The examples below show how 1st-grade students could “act out” an addition and subtraction problem:

3. Work backwards

Working backwards is a popular problem-solving strategy. It involves starting with a possible solution and deciding what steps to take to arrive at that solution.  This strategy can be particularly helpful when students solve math word problems involving multiple steps. They can start at the end and think carefully about each step taken as opposed to jumping to the end of the problem and missing steps in between.

For example,

To solve this problem working backwards, start with the final condition, which is Sam’s grandmother’s age (71) and work backwards to find Sam’s age. Subtract 20 from the grandmother’s age, which is 71.  Then, divide the result by 3 to get Sam’s age. 71 – 20 = 51 51 ÷ 3 = 17 Sam is 17 years old.

4. Write a number sentence

When faced with a word problem, encourage students to write a number sentence based on the information. This helps translate the information in the word problem into a math equation or expression, which is more easily solved.  It is important to fully understand the context of the word problem and what students need to solve before writing an equation to represent it.

5. Use a formula

Specific formulas help solve many math problems. For example, if a problem asks students to find the area of a rug, they would use the area formula (area = length × width) to solve.   Make sure students know the important mathematical formulas they will need in tests and real-life. It can help to display these around the classroom or, for those who need more support, on students’ desks.

Strategies for checking the solution 

Once the problem is solved using an appropriate strategy, it is equally important to check the solution to ensure it is correct and makes sense. 

There are many strategies to check the solution. The strategy for a specific problem is dependent on the problem type and math content involved.

Here are five strategies to help students check their solutions. 

1. Use the Inverse Operation

For simpler problems, a quick and easy problem solving strategy is to use the inverse operation. For example, if the operation to solve a word problem is 56 ÷ 8 = 7 students can check the answer is correct by multiplying 8 × 7. As good practice, encourage students to use the inverse operation routinely to check their work. 

2. Estimate to check for reasonableness

Once students reach an answer, they can use estimation or rounding to see if the answer is reasonable.  Round each number in the equation to a number that’s close and easy to work with, usually a multiple of ten.  For example, if the question was 216 ÷ 18 and the quotient was 12, students might round 216 to 200 and round 18 to 20. Then use mental math to solve 200 ÷ 20, which is 10.  When the estimate is clear the two numbers are close. This means your answer is reasonable. 

3. Plug-In Method

This method is particularly useful for algebraic equations. Specifically when working with variables.  To use the plug-in method, students solve the problem as asked and arrive at an answer. They can then plug the answer into the original equation to see if it works. If it does, the answer is correct.

If students use the equation 20m+80=300 to solve this problem and find that m = 11, they can plug that value back into the equation to see if it is correct. 20m + 80 = 300 20 (11) + 80 = 300 220 + 80 = 300 300 = 300 ✓

4. Peer Review

Peer review is a great tool to use at any grade level as it promotes critical thinking and collaboration between students. The reviewers can look at the problem from a different view as they check to see if the problem was solved correctly.   Problem solvers receive immediate feedback and the opportunity to discuss their thinking with their peers. This strategy is effective with mixed-ability partners or similar-ability partners. In mixed-ability groups, the partner with stronger skills provides guidance and support to the partner with weaker skills, while reinforcing their own understanding of the content and communication skills.  If partners have comparable ability levels and problem-solving skills, they may find that they approach problems differently or have unique insights to offer each other about the problem-solving process.

5. Use a Calculator

A calculator can be introduced at any grade level but may be best for older students who already have a foundational understanding of basic math operations. Provide students with a calculator to allow them to check their solutions independently, accurately, and quickly. Since calculators are so readily available on smartphones and tablets, they allow students to develop practical skills that apply to real-world situations.  

Step-by-step problem-solving processes for your classroom

In his book, How to Solve It , published in 1945, mathematician George Polya introduced a 4-step process to solve problems. 

Polya’s 4 steps include:

• Understand the problem
• Devise a plan
• Carry out the plan

Today, in the style of George Polya, many problem-solving strategies use various acronyms and steps to help students recall. 

Many teachers create posters and anchor charts of their chosen process to display in their classrooms. They can be implemented in any elementary, middle school or high school classroom. 

Here are 5 problem-solving strategies to introduce to students and use in the classroom.

How Third Space Learning improves problem-solving 

Resources .

Third Space Learning offers a free resource library is filled with hundreds of high-quality resources. A team of experienced math experts carefully created each resource to develop students mental arithmetic, problem solving and critical thinking. 

Explore the range of problem solving resources for 2nd to 8th grade students. 

One-on-one tutoring 

Third Space Learning offers one-on-one math tutoring to help students improve their math skills. Highly qualified tutors deliver high-quality lessons aligned to state standards. 

Former teachers and math experts write all of Third Space Learning’s tutoring lessons. Expertly designed lessons follow a “my turn, follow me, your turn” pedagogy to help students move from guided instruction and problem-solving to independent practice. 

Throughout each lesson, tutors ask higher-level thinking questions to promote critical thinking and ensure students are developing a deep understanding of the content and problem-solving skills.

Problem-solving

Educators can use many different strategies to teach problem-solving and help students develop and carry out a plan when solving math problems. Incorporate these math strategies into any math program and use them with a variety of math concepts, from whole numbers and fractions to algebra. 

Teaching students how to choose and implement problem-solving strategies helps them develop mathematical reasoning skills and critical thinking they can apply to real-life problem-solving.

READ MORE : 8 Common Core math examples

There are many different strategies for problem-solving; Here are 5 problem-solving strategies: • draw a model  • act it out  • work backwards  • write a number sentence • use a formula

Here are 10 strategies of problem-solving: • Read the problem aloud • Highlight keywords • Summarize the information • Determine the unknown • Make a plan • Draw a model  • Act it out  • Work backwards  • Write a number sentence • Use a formula

1. Understand the problem 2. Devise a plan 3. Carry out the plan 4. Look back

Some strategies you can use to solve challenging math problems are: breaking the problem into smaller parts, using diagrams or models, applying logical reasoning, and trying different approaches.

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Ultimate Guide to Metacognition [FREE]

Looking for a summary on metacognition in relation to math teaching and learning?

Check out this guide featuring practical examples, tips and strategies to successfully embed metacognition across your school to accelerate math growth.

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Exemplars math rubrics are excellent tools for assessing student work and for encouraging student self- and peer-assessment. Our performance material includes standards-based rubrics that define what work meets today's standards, allowing teachers (and students) to distinguish between different levels of performance. We also provide tips on how to introduce your students to rubrics .

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Our differentiated, problem-solving tasks promote critical thinking and reasoning, and call on students to practice and apply mathematical ways of thinking to real-world issues. Material can be used for instruction, assessment, and/or professional development.

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Samples of student work are provided at each of the four performance levels of the Exemplars rubric: Novice , Apprentice , Practitioner (meets the standard), and Expert . Our scoring rationales identify important distinctions for teachers to look for when assessing students. Learn more »

The more you practice, the stronger your skills become. That's why we've launched the interactive K–5 Exemplars Scoring Tutorial. This online tool lets you hone your assessment skills in problem solving through practice as you score sample student work in accordance with the  Exemplars Standards-Based Rubric . The time you spend reinforcing your assessment skills pays off in gaining a clearer picture of where your students stand and where your instruction should take them next. So put yourself to the test and  give it a try !

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Communication is fundamental. It is not only the vehicle by which we convey our thinking to others, but it is the way in which we process information. As we organize our thoughts to communicate, we learn content – understanding how to communicate that content must be considered a basic skill in our schools today.

Asking your students to communicate their thinking or to write about their problem-solving process on a particular math task encourages them to analyze their work more closely. Student's work must include communication, or it will not meet the (Exemplars) standard.  Learn helpful techniques for encouraging communication in math »

For 30 years, Exemplars has worked with schools and districts to integrate performance-based assessment and instruction into math curriculum. To help your school or district get started, check out our Administrator's Tools for Success . 

Administrators, teachers, and coaches can also read our 5 Days of Exemplars blog series to see what classroom application looks like.

Exemplars makes it possible for schools, districts, and teachers to implement excellent performance-based assessment and instruction. Below are some suggestions from experienced Exemplars users and workshop participants to assist with your success. 

• Select an Exemplars math task of the month
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Free Math Worksheets — Over 100k free practice problems on Khan Academy

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Frequently Asked Questions about Khan Academy and Math Worksheets

Why is khan academy even better than traditional math worksheets.

Khan Academy’s 100,000+ free practice questions give instant feedback, don’t need to be graded, and don’t require a printer.

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Our 100,000+ practice questions cover every math topic from arithmetic to calculus, as well as ELA, Science, Social Studies, and more.

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Want to get even more out of Khan Academy?

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‘I’m A Virgo’ Star Jharrel Jerome, Team On Magic Of Illusion And Solving Math Problems

“Definitely the most challenging thing I’ve had to do thus far as an actor, a lot of mental gymnastics involved,” Jharrel Jerome admits about the uniqueness of his role in the Boots Riley -created absurdist series I’m A Virgo , on which he plays a previously extremely sheltered 13-foot-tall Oakland teen. “At no point do I look my scene partners in the eye, and as an actor that’s so critical, you know, as connection.”

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“I think the magic of what really brought me to this project was the idea of not using CGI or special effects, because that in itself is requiring a lot for the actor,” Jerome says. “And there’s no rulebook on it, right, there’s no way to do it right. There was, we were all running on the set.

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Olivia Washington, Deirdra E. Govan, Boots Riley, Walton Goggins and Jharrel Jerome

Boots Riley and Jharrel Jerome

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Walton Goggins

Olivia Washington and Deirdra E. Govan

Amidst the political and social aspects of I’m a Virgo , which was tied for my top show of 2023 with the final season of Reservation Dogs , the power of illusion and visual reality was in many ways a character unto itself — especially Govan’s costume design.

“Spending time with the actors in the fitting room is my process,” said Govan, whose credits include Sorry to Bother You and Harlem . “That is my time to not only gain their trust, but also really listen to what they are tapping into and how they’re going to inhabit the skin of these characters.”

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Along with Jerome, Washington and Goggins (who also stars in Prime Video ‘s Fallout ), I’m a Virgo features two-time Tony nominee Kara Young, Carmen Ejogo, Mike Epps, Brett Gray and Kendrick Sampson. Elijah Wood makes a guest appearance as do the voices of Danny Glover, Joel Edgerton, Juliette Lewis and philosopher/cultural theorist Slavoj Žižek.

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