Get excited about math!

 

The fourth chapter of the fifth grade math book focuses on multiplication. The standards for chapter 4 are:

 Chapter 4

Number Sense: Students compute with positive integers and understand the relative magnitude of numbers.
Number Sense: Estimate and round numbers
Number Sense: Understand and compute positive integer powers of nonnegative integers; compute examples as repeated multiplication.
Algebra and Functions: Use a letter to represent an unknown number; write and evaluate simple algebraic expressions in one variable by substitution.
Algebra and Functions: Apply algebraic order of operations and the commutative, associative and distributive properties to evaluate expressions.
Mathematical reasoning: Students make decisions about how to approach problems.
Mathematical reasoning: Analyze problems by identifying relationships and observing patterns.
Mathematical reasoning: Determine when and how to break a problem into simpler parts.
Mathematical reasoning: Apply strategies and results from simpler problems to more complex problems.
Mathematical reasoning: Make precise calculations and check the validity of the results from the context of the problem.
Mathematical reasoning: Note the method of deriving the solution and demonstrate a conceptual understanding of the derivation by solving similar problems.

 

This chapter connects with previous and future learning in this way:

 

Looking Back Right Now
 
Multiplying Whole Numbers

Looking Ahead

 

In the grade 4 program, students learned multiplication facts.  In this chapter, students will learn to multiply whole numbers by one-digit, two-digit and three-digit numbers. In chapters 6 and 8, students will learn how to multiply decimals and fractions.

 

The chapter has three sections of problem solving where the students are introduced to new strategies or are asked to apply previously learned concepts in new problems. The strategies for the fourth chapter are:

Choosing an Operation

pages 132-133

Solve a Simpler Problem

pages 144-145

 Using Money

pages 150-151


 

Let's Practice Some

Online Problem Solving!

 

Mary and Richard have fun playing Target Math using digit cards. Where would you place the digits to be closest to the target number? Estimate first and then check with a calculator.
Day 1: The target number is 100. The digit cards are 1, 5, and 8.
_ _ X _ = 100
Day 2: The target number is 200. The digit cards are 2, 4, and 7.
_ _ X _ = 200
Day 3: The target number is 150. The digit cards are 3, 5, and 6.
_ _ X _ = 150
Day 4: The target number is 250. The digit cards are 2, 3, and 9.
_ _ X _ = 250
Day 5: The target number is 2,000. The digit cards are 3, 4, 5, and 6.
_ _ _ X _ = 2,000
Day 6: The target number is 1,000. The digit cards are 1, 2, 3, and 4.
_ _ _ X _ = 1,000
Day 7: The target number is 1,500. The digit cards are 2, 3, 4, and 5.
_ _ X _ _ = 1,500
Day 8: The target number is 2,000. The digit cards are 0, 2, 6, and 8.
_ _ X _ _ = 2,000
Day 9: The target number is 5,000. The digit cards are 2, 4, 6, and 8.
_ _ X _ _ = 5,000
Day 10: The target number is 15,000. The digit cards are 2, 3, 5, 7, and 8.
_ _ _ X _ _ = 15,000
 
Back to the top!

 

How About Some More Practice?

 

 

Use multiplication properties and mental computation and solve each of these sentences in your head!

 1) 5 X 9 X 4 = n

 2) 16 X 4 X 0 = n

 3) 2 X 38 X 2 = n

 4) 9 X 1 X 40 = n

 5) (1 X 23) X 3 = n

 6) 975 X 0 X 32 = n

 7) (0 X 45) + (2 X 99) = n

 8) ( 9 X 60) + (1 X 40) = n

 

More Mental Math

2 X 5 X 40 = x

8 X 3 X 200 = x

6 X 2 X 3,000 = x

2 X 300 X 7 = x

1,000 X 9 X 4 = x

8 X 5 X 1,000 = x

 

 

Distributive property practice!

 

 
6 X 25 = ?
 

 6 X 20 = 120

 6 X 5 = 30

 120 + 30 = 150

 6 X 25 = 150

 
4 X 37 = ?
 

4 X 30 = x

4 X 7 = m

x + m = ?

4 X 37 = ?

 
 7 X 18 = ?
 

 7 X 10 = x

 7 X 8 = m

 x + m = ?

 7 X 18 = ?

 
 9 X 38 = ?
 

 9 X 30 = x

 9 X 8 = m

 x + m = ?

 9 X 38 = ?

 

 

Estimating Practice!

 PROBLEM  ESTIMATE  ACTUAL PRODUCT  LESS THAN ESTIMATE/ MORE THAN ESTIMATE
 27 X 48 = n  n=   n=  Less More
 61 X 82 = n   n=   n=  Less More
 94 X 53 = n  n=   n=  Less More
 28 X 495 = n   n=   n=  Less More
 76 X 284 = n   n=   n=  Less More

 

 

Find the patterns:

 3    9    12    18          
 1  3  6  10      28    45      
 5  10  8  13  11  16  14          

 

Back to the top!

 

 

For a bit more challenge:

 Use the digits 0 - 9 to complete these number sentences. Use each digit only once.

X = 6

+ = 9

X = 0

X = 24

+ = 13

 Nadia bought 4 pairs of socks and 2 T-shirts for $32. Raul bought 1 T-shirt and 1 pair of socks for $12. How much does a pair of socks cost?

 

Jason's softball jacket has 2 digits. The number is a multiple of 2, 4, 8, and 9. What is the number on his jacket?

 

 

Complete the magic square so that the sum is 7. 5 in all directions.

 4.0  0.5  3.0
     
   4.5  

 

 

 

 

to multiplication sites!

Multiplying Tens Practice   Multiplying with Renaming  Multiplication Properties
Multiplying Hundreds Practice  Multiplying Larger Numbers  Multiplication Properties
Interactive
 
Multiplying a 2-Digit Number Multiplying Three Numbers  Multiplication Facts Review
3 Games to choose from
!
 
Multiplying a 3-Digit Number  Basket Math-Multiplication  Interactive Multiplication Table
Multiplication and Division Relationship Multiplication Mystery Division and Multiplication Relationship

 

 

Money practice from aaamath.com

 Adding money
 Subtracting money
 Change from a purchase
 Coins for change
 Estimating tips

 

 

Time to Exercise the Brain~

Escape from Knab Climb Math Mountain Puzzler Archive
The Fruit Game The Train Race Online Mankala
Who Wants to Win $1,000,000.00 ? Grade Five Problems Family Math Challenges 
 What's the Best Way to get Paid?  Mystery Math Coin Flipping

 

 

Fun Math Sites to Visit~ 

Great Help for Most of Chapter 1 Need help? Ask Dr. Math
Practice rounding with online flashcards Math Dictionary for Kids
Online Flashcards-all operations Tons of chances for practice-worksheets
Totally Tessellated A+ Math Games
Multiplication Problems-you set the problems Late Delivery-Great Algebra Practice
Mystery Math-How do they do that? Order of Operations
Puzzler Math Baseball
Multiplication tips by kids Exponent Basketball
Tangrams Math Playground