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Topic outline, grade 4 module 3, multi-digit multiplication and division.

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Topic A: Multiplicative Comparison Word Problems

Topic b: multiplication by 10, 100, and 1,000, topic c: multiplication of up to four digits by single-digit numbers.

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Topic D: Multiplication Word Problems

Mid-module review, topic e: division of tens and ones with successive remainders, topic f: reasoning with divisibility, topic g: division of thousands, hundreds, tens, and ones, topic h: multiplication of two-digit by two-digit numbers, end-of-module.

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Algebra 2 Online Lessons & Videos

Algebra 2 lesson and worksheet pdfs, course syllabus, --- chapter 1 lessons ---, 1.1 real numbers, 1.2 simplifying algebraic expressions & equations, 1.3 solving linear equations, 1.4 solving linear inequalities, 1.5 quadratic equations, 1.6 interpreting word problems, --- chapter 1 homework & worksheets ---.

1.1 Homework: (Click for video) Pg 6: Problem Set 1, 2, 7, 9-11 Pg 9: Problem Set 10, 11, 12, 14
1.2 Homework: (Click for video) Pg 13: Problem Set 4-6 Pg 16: Problem Set 1-3, 6, 9, 10 Pg 20: Problem Set 7, 8
1.3 Homework: (Click for video) Pg 23: Problem Set 4, 12 Pg 26: Problem Set 2, 13 Pg 30: Problem Set 1, 2, 5, 12
1.4 Homework: (Click for video) Pg 34: Problem Set 1, 4 Pg 38: Problem Set 7, 9 Pg 41: Problem Set 7, 11, 13
1.5 Homework: (Click for video) Pg 47: Problem Set 4, 7, 11, 14 Pg 50: Problem Set 4, 6, 10, 12
1.6 Homework: (Click for video) Worksheet
Chapter 1 Review Review Key

--- Chapter 2 Lessons ---

2.1 finding the slope & equation of a line, 2.2 standard form of a line, 2.3 graphing lines, 2.4 relations & functions, 2.5 graphing linear inequalities of two variables, 2.6 graphing absolute value functions, --- chapter 2 homework & worksheets ---.

2.1 Homework: Pg 63: 1-4 Pg 64: 7, 8 Pg 68: 1-3, 9, 10
2.2 Homework: Pg 73: Problem Set 11, 13 Pg 76: Problem Set 1, 3, 6 Pg 80: Problem Set 5, 10, 11
2.3 Homework: Pg 85: Problem Set 1, 6, 13 Pg 88: Problem Set 1, 2, 8, 10
2.4 Homework: Pg 93: Problem Set 1, 2, 5, 6 Pg 94: Problem Set 8-10, 13 Pg 101: Problem Set 1, 2 Pg 102: Problem Set 7, 9
2.5 Homework: Pg 106: 1, 2 Pg 112: 1, 2, 5-7
2.6 Homework: Pg 124-125: Problem Set 5-10
Chapter 2 Test Review Answer Key (Contains all answers except #s 26-28 & 35-41) Answers for 26-28, 35-41

--- Chapter 3 Lessons ---

3.1 solving linear systems by graphing, 3.2 solving linear systems by substitution, 3.3 solving linear systems by elimination, 3.4 graphing and solving linear inequalities, 3.5 solving linear systems in three variables, --- chapter 3 homework & worksheets ---.

3.1 Homework: Pg 163: 5-9 Pg 164: 11
3.2 Homework: Pg 177-178: Problem Set 1-4 Pg 181: Problem Set 5
3.3 Homework: Pg 188: Problem Set 1, 2, 5 Pg 201-202: Problem Set 3, 4, 6, 12
3.4 Homework: Pg 220: Guided Practice 1-4
3.5 Homework: None, See Review for Problems
Word Problems Worksheet Solutions Video
Chapter 3 Review Pt 1 Answer Key
Chapter 3 Review Pt 2 Answer Key

--- Chapter 4 Lessons ---

4.1 operations of matrices, 4.2 matrix multiplication, 4.3 determinants, 4.4 identity and inverse matrices, 4.5 solving linear systems using matrices, --- chapter 4 homework & worksheets ---.

4.1 Homework: Pg 242: Problem Set 1, 3, 4, 10, 11 Pg 246: Problem Set 2, 6
4.2 Homework: Pg 250: Problem Set 1, 2, 6, 7, 8, 11
4.3 Homework: Pg 264: Problem Set 5-8
4.4 Homework: Pg 274-275: Problem Set 2-7
4.5 Homework: Pg 286: 1-3 Pg 291-292: 10-12
Chapter 4 Project: "The Sandwich Project" 2017-2018 Ingredients by Hour
Chapter 3 & 4 Review Material: Test Review Review Key Word Document

--- Chapter 5 Lessons ---

5.1 factoring quadratics:.

Day 1: FOILing and Basic Factoring
Day 2: Slide & Divide Factoring and Squaring a Binomial
Day 3: Solving Quadratics by Factoring

5.2 Solving Quadratics Using Square Roots

5.3 complex numbers:.

Day 1: The Complex Unit i and Basic Complex Operations
Day 2: Complex Conjugates and Dividing Complex Numbers
Day 3: Solving Quadratics with Complex Solutions

5.4 Completing the Square:

Day 1: Completing the Square when a = 1
Day 2: Completing the Square when a =/= 1

5.5 The Quadratic Formula

5.6 graphs of quadratic functions:.

Day 1: Vertex Form and Transformations
Day 2: Standard Form and Finding the Vertex

--- Chapter 5 Homework & Worksheets ---

5.1 Day 1 Homework: Worksheet Worksheet Solutions
5.1 Day 2 Homework: Pg 303: Problem Set 4-8, 11, 13
5.1 Day 3 Homework: Pg 311: Problem Set 1-4, 6, 8
5.2 Homework: Pg 315-316: Problem Set 4, 7, 8 Pg 321: Problem Set 2, 3, 9, 10
5.3 Day 1 Homework: Pg 325: Problem Set 1, 2, 7, 13, 14 Pg 329: Problem Set 2-4
5.3 Day 2 Homework: Pg 329: Problem Set 9, 10, 12-14
5.3 Day 3 Homework: Pg 331: Problem Set 1-7
5.4 Day 1 Homework: Pg 335: Problem Set 1-3 Pg 336: Problem Set 7-10 Written Solutions
5.4 Day 2 Homework: Pg 339: 1-4, 6 Written Solutions
5.5 Homework: Pg 344-45: Problem Set 1-3 Written Solutions
5.6 Day 1 Homework: Worksheet Solutions Video
5.6 Day 2 Homework: Pg 361: Problem Set 1, 2, 4 (Only find the Vertex) Pg 361: Problem Set 5, 6, 9 (Find Vertex & Sketch Graph)
Chapter 5 Test Review: Review Review Key

--- Chapter 6 Lessons ---

6.1 properties of exponents, 6.2 basic polynomial operations, 6.3 factoring and solving polynomials, 6.4 & 6.5 synthetic division & end behavior, extra ch. 6 lessons:.

Lesson 1: Zeros, Multiplicity & Graphing
Lesson 2: Solving Polynomial Inequalities
Lesson 3: Rational Root Theorem

--- Chapter 6 Homework & Worksheets ---

6.1 Homework: Pg 373 Problem Set: 1, 2, 4, 6, 7, 9
6.2 Homework: Pg 379 Problem Set: 9, 10, 13 (After doing the problem, state the degree & leading coefficient) Pg 382 Problem Set: 3, 7, 9
6.3 Day 1 Homework: Pg 388-389 Problem Set: 1-4, 6, 8
6.3 Day 2 Homework: Pg 389 Problem Set: 10-12 Pg 391 Problem Set: 10-12
6.3 Day 3 Homework: Pg 394: 1-3, 5, 6, 8
6.4 & 6.5 Homework: Pg 402 Problem Set: 1, 2, 4-6
Chapter 6 Review Answers
Extra Ch. 6 Lessons Homework: Lesson #1 Worksheet Answers Lesson #2 Worksheet Answers
Extra Ch. 6 Lessons Review: Worksheet Answers

--- Chapter 7 Lessons ---

7.4 day 1: function operations & composition, 7.1 higher roots & rational exponents, 7.2 graphs and trans. of sq. root functions, 7.3 solving radical functions, 7.4 function operations:.

Day 1: Function Operations & Composition (Covered before 7.1)
Day 2: Function Inverses

--- Chapter 7 Homework and Worksheets ---

7.4 Day 1 Homework: Worksheet PDF Worksheet Key
7.1 Homework: Pg 433 Problem Set: 1-9. On #s 4-6 you do Not have to evaluate, just convert.
7.2 Homework: Pg 443: 2, 3, 9, 10 (On 9 & 10 only state transformations. Do not graph) Pg 448: 3, 4, 6, 11 (on 6 & 11 only state transformations, Do not graph)
7.3 Homework: Pg 459: 3, 7, 8 Pg 462: 1, 2 Pg 464: 1, 3
7.4 Day 2 Homework: Pg 476 Problem Set: 1-3, 5, 6, 9, 11

--- Chapter 8 Lessons ---

8.1 exponential functions.

Day 1: Introduction & Transformations
Day 2: Graphing and Interest Rates

8.2 Logarithm Functions

Day 1: Introduction, Converting & Evaluating
Day 2: Transformations & Graphing

8.3 Properties of Logarithms

8.4 solving exponential and logarithmic equations, --- chapter 8 homework & worksheets ---, 8.1 day 1 homework:, 8.1 day 2 homework:, 8.2 day 1 homework:, 8.2 day 2 homework:, 8.3 homework:, 8.4 homework:, --- chapter 9 lessons ---, 9.1 direct variation, 9.2 graphing rational functions.

Day 1: Identifying x/y-int & V. Asymptotes
Day 2: H. Asymptotes and Graphing

9.3 Simplifying, Multiplying & Dividing Rationals

Day 1: Simplifying by Factoring & Canceling
Day 2: Multiplying & Dividing Multiple Expressions

9.4 Adding & Subtracting Rationals

Day 1: Finding a Common Denominator
Day 2: Factoring Before Adding/Subtracting

9.5 Solving Rational Equations

--- chapter 9 homework & worksheets ---, 9.1 homework:, 9.2 day 1 homework:, 9.2 day 2 homework:, 9.3 day 1 homework:, 9.3 day 2 homework:, 9.4 day 1 homework:, 9.4 day 2 homework:, 9.5 homework:, --- chapter 10 lessons ---, 10.1 distance, midpoint, and parabolas, 10.2 cicrcles, 10.3 ellipses, 10.4 hyperbolas, --- chapter 10 homework & worksheets ---, 10.1 homework:, 10.2 homework:, 10.3 homework:, 10.4 homework:, --- chapter 11 lessons ---, 11.1 introduction to sequences & series.

Day 1: Term Notation & Definitions
Day 2: Writing General & Recursive Rules, Sigma Notation

11.2 Arithmetic Sequences

11.3 geometric sequences, 11.4 infinite series, --- chapter 11 homework & worksheets ---, 11.1 day 1 homework:, 11.1 day 2 homework:, 11.2 homework:, 11.3 homework:, 11.4 homework:, --- chapter 12 lessons ---, 12.1 & 12.2 fundamental counting principle, permutations & combinations, --- chapter 12 homework & worksheets ---, 12.1 & 12.2 homework:, --- final exam review ---, semester 1 final, semester 2 final.

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CCSS Math Answers

Eureka Math Grade 4 Module 3 Lesson 4 Answer Key

Engage ny eureka math 4th grade module 3 lesson 4 answer key, eureka math grade 4 module 3 lesson 4 problem set answer key.

Draw place value disks and arrows as shown to represent each product.

Eureka Math Grade 4 Module 3 Lesson 4 Problem Set Answer Key 1

Question 3. Fill in the blanks in the following equations. a. 6 × 10 = ____60____ Answer: 6 x 10 = 60,

Explanation: Given 6 X 10 multiplying 6 with 10 we get 60, so 6 X 10 = 60.

b. __100____ × 6 = 600 Answer: 100 X 6 = 600,

Explanation: Given ____ × 6 = 600, so we get unknown factor as 600 ÷ 6 = 100, so 100 X 6 = 600.

c. 6,000 = ______ × 1,000 Answer: 6,000 = 6 X 1,000,

Explanation: Given 6,000 = ______ × 1,000, so we get unknown factor as 6,000 ÷ 1,000 = 6, so 6,000 = 6 X 1,000.

d. 10 × 4 = ______ Answer: 10 X 4 = 40,

Explanation: Given 10 X 4 = ____,multiplying 10 with 4 we get 40, so 10 X 4 = 40.

e. 4 × ______ = 400 Answer: 4 X 100 = 400,

Explanation: Given 4 x ____  = 400, so we get unknown factor as 400 ÷ 4 = 100, so 4 X 100 = 400.

f. ______ × 4 = 4,000 Answer: 1,000 X 4 = 4,000,

Explanation: Given ______ × 1,000 = 4,000 so we get unknown factor as 4,000 ÷ 4 = 1,000, so 1,000 X 4 = 4,000.

g. 1,000 × 9 = ______ Answer: 1,000 X 9 = 9,000,

Explanation: Given 1,000 X 9 =___ ,multiplying 1,000 with 9 we get 9,000, so 1,000 X 9 = 9,000.

h. ______ = 10 × 9 Answer: 90 = 10 X 9, Explanation: Given _____ = 10 X 9 multiplying 10 with 9 we get 90, so 90 = 10 X 9.

i. 900 = ______ × 100 Answer: 900 = 9 X 100,

Explanation: Given 900 = ______ × 100 so we get unknown factor as 900 ÷ 100 = 9, so 900 = 9 X 100.

Draw place value disks and arrows to represent each product.

Eureka Math Grade 4 Module 3 Lesson 4 Answer Key-7

Decompose each multiple of 10, 100, or 1,000 before multiplying.

Question 7. 3 × 40 = 3 × 4 × __10___ = 12 × __10____ = ___120_______ Answer:

3 X 40 = 3 X 4 X 10 = 12 X 10 = 120,

Explanation: Given 3 X 40 decomposing into 10 before multiplying first we write 40 as 4 X 10, then we multiply with 3, as 3 X 4 X 10, Now we multiply 3 and 4 then 10 we get 12 X 10 = 120, So 3 X 40 = 120.

Question 8. 3 × 200 = 3 × ___2__ × __100____ = ___6___ × ___100___ = ____600____ Answer: 3 X 200 = 3 X 2 X 100 = 6 X 100 = 600,

Explanation: Given 3 X 200 decomposing into 100 before multiplying first we write 200 as 2 X 100, then we multiply with 3 as 3 X 2 X 100, Now we multiply 3 and 2 then 100 we get 6 X 100 = 6,00, So 3 X 200 = 600.

Question 9. 4 × 4,000 = __4___ × __4___× __1,000_______ = ___16___ × __1,000_______ = ____16,000_____ Answer: 4 × 4,000 = 4 X 4 X 1,000, =16 X 1,000 = 16,000,

Explanation: Given 4 X 4,000 decomposing into 1,000 before multiplying first we write 4,000 as 4 X 1,000, then we multiply with 4 as 4 X 4 X 1,000, Now we multiply 4 and 4 then 1,000 we get 16 X 1,000 = 16,000, So 4 X 4,000 = 16,000.

Question 10. 5 × 4,000 = __5___ × __4___ × ___1,000______ = ___20___ × __1,000______ = __20,000______ Answer: 5 X 4,000 = 5 X 4 X 1,000, = 20 X 1,000, = 20,000,

Explanation: Given 5 X 4,000 decomposing into 1,000 before multiplying first we write 4,000 as 4 X 1,000, then we multiply with 5 as 5 X 4 X 1,000, Now we multiply 5 and 4 then 1,000 we get 20 X 1,000 = 20,000, So 5 X 4,000 = 20,000.

Eureka Math Grade 4 Module 3 Lesson 4 Exit Ticket Answer Key

Fill in the blanks in the following equations.

a. 5 × 10 = ___50_____ Answer: 5 X 10 = 50,

Explanation: Given 5 X 10 multiplying 5 with 10 we get 50, so 5 X 10 = 50.

b. ______ × 5 = 500 Answer: 100 X 5 = 500,

Explanation: Given  ____  X 5 = 500 so we get unknown factor as 500 ÷ 5 = 100, so 100 X 5 = 500.

c. 5,000 = ______ × 1000 Answer: 5,000 = 5 x 1,000,

Explanation: Given 5,000 = _______ X 1,000, now we get unknown factor as 5,000 ÷ 1,000 = 5, so 5,000 = 5 X 1,000.

d. 10 × 2 = ______ Answer: 10 X 2 = 20,

Explanation: Given 10 X 2 multiplying 10 with 2 we get 20, so 10 X 2 = 20.

e. ______ × 20 = 2,000 Answer: 100 X 20 = 2,000,

Explanation: Given_______ X 20 = 2,000, now we get unknown factor as 2,000 ÷ 20 = 100, so 100 X 20 = 2,000.

f. 2,000 = 10 × ______ Answer: 2,000 = 10 X 200,

Explanation: Given 2,000 = 10 X _________, now we get unknown factor as 2,000 ÷ 10 = 200, so 2,000 = 10 X 200.

g. 100 × 18 = ______ Answer: 100 X 18 = 1,800,

Explanation: Given 100 X 18 multiplying 100 with 18 we get 1,800 so 100 X 18 = 1,800.

h. ______ = 10 × 32 Answer: 320 = 10 X 32,

Explanation: Given_______  = 10 X 32, multiplying 10 with 32 we get 320, so 320 = 10 X 32.

i. 4,800 = ______ × 100 Answer: 4,800 = 48 X 100,

Explanation: Given 4,800 = _______ X 100, now we get unknown factor as 4,800 ÷ 100 = 48, so 4,800 = 48 X 100.

j. 60 × 4 = ______ Answer: 60 × 4 = 240,

Explanation: Given 60 X 4, multiplying 60 with 4 we get 240, so 60 X 4 = 240.

k. 5 × 600 = ______ Answer: 5 X 600 = 3,000,

Explanation: Given 5 X 600 = _________,multiplying 5 with 600 we get 3,000, so 5 X 600 = 3,000.

l. 8,000 × 5 = ______, Answer: 8,000 X 5 = 40,000,

Explanation: Given 8,000 X 5 = _______, multiplying 8,000 with 5 we get 40,000, so 8,000 X 5 = 40,000.

Eureka Math Grade 4 Module 3 Lesson 4 Homework Answer Key

Eureka Math Grade 4 Module 3 Lesson 4 Homework Answer Key 3

Question 3. Fill in the blanks in the following equations. a. 8 × 10 = ________ Answer: 8 X 10 = 80,

Explanation: Given 8 X 10 = ________, multiplying 8 with 10 we get 80, so 8 X 10 = 80.

b. ______ × 8 = 800 Answer: 100 X 8 = 800,

Explanation: Given ______ X 8 = 800, now we get unknown factor as 800 ÷ 8 = 100, so 100 X 8 = 800.

c. 8,000 = ______ × 1,000 Answer: 8,000 = 8 X 1,000,

Explanation: Given 8,000 = 8 X 1,000, now we get unknown factor as 8,000 ÷ 1,000 = 8, so 8,000 = 8 X 1,000.

d. 10 × 3 = ______ Answer: 10 X 3 = 30,

Explanation: Given 10 X 3 = ________, multiplying 10 with 3 we get 30, so 10 X 3 = 30.

e. 3 × ______ = 3,000 Answer: 3 X 1,000 = 3,000,

Explanation: Given 3 X ______ = 3,000, now we get unknown factor as 3,000 ÷ 3 = 1,000, so 3 X 1,000 = 3,000.

f. ______ × 3 = 300 Answer: 100 X 3= 300,

Explanation: Given ______ X 3 = 300, now we get unknown factor as 300 ÷ 3 = 100, so 100 X 3 = 300.

g. 1,000 × 4 = ______ Answer: 1,000 X 4 = 4,000,

Explanation: Given 1,000 X 4 = ________, multiplying 1,000 with 4 we get 4,000, so 1,000 X 4 = 4,000.

h. ______ = 10 × 4 Answer: 40 = 10 X 4,

Explanation: Given ______ = 10 X 4, multiplying 10 with 4 we get 40, so 40 = 10 X 4.

i. 400 = ______ × 100 Answer: 400 = 4 X 100,

Explanation: Given 400 = 4 X 100, now we get unknown factor as 400 ÷ 100 = 4, so 400 = 4 X 100.

Eureka Math Grade 4 Module 3 Lesson 4 Answer Key-16

Explanation: Drawn and  placed value disks and arrow as shown above to represent the products as 36 × 1,000 = 36,000, 36 × 10 × 10 × 10 = 36,000 and (3 tens 6 ones) × 1,000 = 36,000.

Decompose each multiple of 10, 100, or 1000 before multiplying.

Question 7. 2 × 80 = 2 × 8 × __16___ = 16 × _10_____ = ___160_______ Answer: 2 X 80 = 2 X 8 X 10, = 16 X 10, = 160,

Explanation: Given 2 X 80 decomposing into 10 before multiplying first we write 80 as 8 X 10, then we multiply with 2, as 2 X 8 X 10, Now we multiply 2 and 8 then 10 we get 16 X 10 = 160, So 2 X 80 = 160.

Question 8. 2 × 400 = 2 × _4___ × __100____ = ___8___ × __100____ = ___800_____ Answer: 2 X 400 = 2 X 4 X 100 = 8 X 100 = 800,

Question 9. 5 × 5,000 = _____ × _____ × _________ = ______ × _________ = _________ Answer: 5 × 5,000 = 5 X 5 X 1,000, =25 X 1,000 = 25,000,

Explanation: Given 5 X 5,000 decomposing into 1,000 before multiplying first we write 5,000 as 5 X 1,000, then we multiply with 5 as 5 X 5 X 1,000, Now we multiply 5 and 5 then 1,000 we get 25 X 1,000 = 25,000, So 5 X 5,000 = 25,000.

Question 10. 7 × 6,000 = _____ × _____ × _________ = ________ × ________ = ________ Answer: 7 X 6,000 = 7 X 6 X 1,000, = 42 X 1,000, = 42,000,

Explanation: Given 7 X 6,000 decomposing into 1,000 before multiplying first we write 6,000 as 6 X 1,000, then we multiply with 7 as 7 X 6 X 1,000, Now we multiply 7 and 6 then 1,000 we get 42 X 1,000 = 42,000, So 7 X 6,000 = 42,000.

Eureka Math Grade 4 Module 3 Lesson 4 Template Answer Key

Eureka Math Grade 4 Module 3 Lesson 4 Template Answer Key 1

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