# 4 Nbt 5 Homework Helper

## Number & Operations in Base Ten – 4th Grade

**Use place value understanding and properties of operations to perform multi-digit arithmetic.**

CCSS.Math.Content.4.NBT.B.5

Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.

**Teacher Notes**

The teacher needs to understand how place value helps students find the product in multi-digit multiplication problem. It is important to use multi-digit multiplication problems to reenforce place value. Example: “Four tens times three tens is twelve tens. Regroup and put one in the hundreds and two in the tens.”

Students who develop flexibility in breaking numbers apart have a better understanding of the importance of place value and the distributive property in multi-digit multiplication.

**Student Knowledge Goals**

I know various strategies for multiplication (e.g., partial products, arrays, etc.).

I know that multiplication is the same as repeated addition.

I know visual models can be used to show multiplication.

I understand the properties of multiplication.

I can interpret and use visual models for multiplication.

I can explain the strategy I used to solve a multiplication problem.

I can show my thinking by creating rectangular arrays.

I can show my thinking by creating area models.

I can write an equation to a model of a multiplication problem.

**Vocabulary**

area model

Commutative Property of Multiplication

Distributive Property of Multiplication over Addition

equal groups

equation

factor

Identity Property of Multiplication

partial product

place value

product

rectangular array

strategy

**Lessons**

Engage NY Module 3 B-4 – Interpret and represent patterns when multiplying by 10, 100, and 1,000 in arrays and numerically.

Engage NY Module 3 B-5 – Multiply multiples of 10, 100, and 1,000 by single digits, recognizing patterns.

Engage NY Module 3 B-6 – Multiply two-digit multiples of 10 by two-digit multiples of 10 with the area model.

Engage NY Module 3 C-7– Multiplication of up to Four Digits by Single-Digit: Use place value disks to represent two-digit by one-digit multiplication.

Engage NY Module 3 C-8 – Extend the use of place value disks to represent three- and four-digit by one-digit multiplication.

Engage NY Module 3 C-9 – Multiply three- and four-digit numbers by one-digit numbers applying the standard algorithm.

Engage NY Module 3 C-10 – Multiply three- and four-digit numbers by one-digit numbers applying the standard algorithm.

Engage NY Module 3 C-11 – Multiply three- and four-digit numbers by one-digit numbers applying the standard algorithm.

**Student Video Lessons**

Learn Zillion – Multiply Multi-Digit Whole Numbers

Learn Zillion – Solve multiplication problems

Study Jams – Distributive Property

Virtual Nerd – Multiplication

**Online Problems, Games, and Assessments**Khan Academy – Questions and Video Lessons

Multiply 1-digit numbers by 2-digit numbers

Multiply 1-digit numbers by 3-digit or 4-digit numbers

Multiplication patterns over increasing place values

Properties of multiplication

Distributive property: find the missing factor

Multiply using the distributive property

Multiply a 2-digit number by a 2-digit number: complete the missing steps

Multiply a 2-digit number by a 2-digit number

Multiply numbers ending in zeroes

**Printables**

Multiplication – Single & Multi-Digit

4.NBT.B.5 – 60 pages of PDF worksheets

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**OPERATIONS AND ALGEBRAIC THINKING **

**Use the four operations with whole numbers to solve problems**

**Numbers of the Week**** **Use as morning work or homework.

**4.OA.A.1 **Interpret a multiplication equation as a comparison, e.g., interpret 35 = 5 x 7 as a statement that 35 is 5 times as many as 7 and 7 times as many as 5. Represent verbal statements of multiplicative comparisons as multiplication equations.**Sample Activity:**Multiplication a

**s Comparison**

**4.OA.A.2**Multiply or divide to solve word problems involving multiplicative comparison, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem, distinguishing multiplicative comparison from additive comparison.

**Sample Activity:**

**W**

**ord Problems: Multiplicative Comparison**

**4.OA.A.3 Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations, including problems in which remainders must be interpreted. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding.Sample Activities:Word Problems: Interpreting RemaindersMath Read Aloud Task Card:A Remainder of One**

**Also included in**4th Grade Math Centers:

**Word Problems: Multi-Step**

**Remainder Riddle**

**Gain familiarity with factors and multiples**

**Gain familiarity with factors and multiples**

**4.OA.B.4 **Find all factor pairs for a whole number in the range 1-100. Recognize that a whole number is a multiple of each of its factors. Determine whether a given whole number in the range 1-100 is a multiple of a given one-digit number. Determine whether a given whole number in the range 1-100 is prime or composite.

Sample Activities:**Exploring Multiples****Prime or Composite?**

**Also included in**4th Grade Math Centers:

**Finding all Factors of a Number**

Factor Riddles

Factor Riddles

**Prime Numbers Investigation**

**Game: Climb the Factor Ladder**

Game: How Many Factors?

Game: How Many Factors?

**Generate and analyze patterns**

**Generate and analyze patterns****4.OA.C.5 **Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself. For example, given the rule “Add 3” and the starting number 1, generate terms in the resulting sequence and observe that the terms appear to alternate between odd and even numbers. Explain informally why the numbers will continue to alternate in this way.**Sample Activity:****Square Numbers**

**Also included in**4th Grade Math Centers:

**Triangular Numbers**

Number Patterns

Patterns in Products

Patterns in Squares

Patterns in Rectangles

Number Patterns

Patterns in Products

Patterns in Squares

Patterns in Rectangles

**NUMBER AND OPERATIONS IN BASE TEN **

**Generalize place value understanding for multi-digit whole numbers**

**4.NBT.A.1 **Recognize that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right. For example, recognize that 700÷70=10 by applying concepts of place value and division.**Sample Activity:**Comparing Digits

**Also included in**4th Grade Math Centers:

**True or False? - Place Value Sort**

**True or False? - Rename It!**

**4.NBT.A.2 **Read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form. Compare two multi-digit numbers based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.**Sample Activities:**Place Value Triangle

Numeral, Word and Expanded Form

**Also included in**4th Grade Math Centers:

**What Number am I?**

**Compare**

**4.NBT.A.3** Use place value understanding to round multi-digit whole numbers to any place.**Sample Activities:What's the Nearest Hundred? (4-digit)**

**Game: Roll and Round: Nearest Hundred (4-digit)**

**Also included in**4th Grade Math Centers:

**What's the Nearest Ten? (3-digit)**

**What's the Nearest Ten? (4-digit)**

**What's the Nearest Thousand?**

Roll and Round:

Nearest Ten (3-digit)

Roll and Round:

Nearest Ten (3-digit)

**Nearest Thousand (5-digit)**

**Use place value understanding and properties of operations to perform multi-digit arithmetic**

**4.NBT.B.4 **Fluently add and subtract multi-digit whole numbers using the standard algorithm.**Sample Activities:**

**Make the Largest Sum**

**Also included in**4th Grade Math Centers:

**Make the Smallest Sum**

**Write and Solve**

**Addition and Subtraction Board**

**4.NBT.B.5 **Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models**Sample Activities:Use Partial Products to Multiply (v. 1-3)Multiplication Strategy: Doubling and HalvingDouble and Halve (v. 1)Make the Largest Product (3 x 1-digit)Multiplication Race (1 x 3-digit)**

**Also included in**4th Grade Math Centers:

**Model Multiplication with Base Ten Blocks**

Use an Area Model to Multiply (v. 1-3)

Use an Area Model to Multiply (v. 1-3)

Estimate Products by Rounding

Multiply by 10s, 100s and 1000s

Decompose a Factor

Estimate Products by Rounding

Multiply by 10s, 100s and 1000s

Decompose a Factor

**Multiplication Race (2 x 2-digit)**

**Double and Halve (v. 2)**

Make the Largest Product (4 x 1-digit)

Make the Largest Product (4 x 1-digit)

**Make the Largest Product (2 x 2-digit)**

Make the Smallest Product (3 x 1-digit)

Make the Smallest Product (3 x 1-digit)

**Make the Smallest Product (4 x 1-digit)**

**Make the Smallest Product (2 x 2-digit)**

Write and Solve: Multiplication

Write and Solve: Multiplication

**4.NBT.B.6 Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division.Sample Activities:Division Strategy: Partial Quotients (v. 1)Division Strategy: Partition the Dividend (v. 1)Estimate the Quotient (v. 1)**

**Also included in**4th Grade Math Centers:

**Division Strategy: Partial Quotients (v. 2)**

**Who Has the Largest Quotient? (v. 1)**

**Who Has the Largest Quotient? (v. 2)**

**Write It, Solve It, Check It! (v. 1)**

**Write It, Solve It, Check It! (v. 2)**

**Remainders Game**

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