4 th Grade Math Study Guide Name __________________

4 th Grade Math Study Guide Name: __________________ 1

Extra notes 2

Place Value for 37, 210, 608. • • Label the place values and house families on the chart. Write the number in the chart. , • Write the number in expanded form. • Write the number in word form. • , Explain the importance of place value. Personal Connections 3

Sample Problems 4

Ordering Numbers Order from least to greatest: 26, 423 and 45, 958 and 26, 710 and 45, 998 Ten Thousand , Hundred Tens Ones Use color and explain the steps to order the numbers from least to greatest. Personal Connections 5

Sample Problems 6

Rounding to nearest 1, 000 7, 625 rounds to ______ because __________. Rounding to nearest 100 7, 625 rounds to ______ because __________. 7

Rounding to nearest 10 7, 625 rounds to ______ because __________. What observations can you make about rounding to the nearest thousands, hundreds, and tens? How does the rounded number relate to the exact number? Personal Connections 8

Sample Problems 9

Operations S. item 12, 326 ? T. item 5, 145 Write 2 number sentences. Write 2 process statements. What's the operation? How do you know? Personal Connections 10

Operations Label next to sun drawing. the action that matches the model List two number sentences Write 2 statements in words to describe the model drawings 53 ? S. item 20 broke 53 ? S. item T. item 20 53 20 ? P S. item NP What’s the operation? Describe how you identified each action: 11

Sample Problems Personal Connections 12

Estimation Ms. Davis is keeping track of her car mileage. She drove 2, 132 miles in January, another 1, 614 miles in February, and 765 miles in March. Which of the following is the best estimate of the number of miles she drove for the three months? Exact Team Estimate Team How do you know your estimate is a reasonable estimate? Explain. 13

Sample Problems Personal Connections 14

Multiplication Austin’s mother bought 4 cases of soda for a party. There were 8 cans in each case. How many cans of soda did Austin’s mother buy altogether? A. Mom soda Total # in Each Groups Describe multiplication. Describe what usually happens when we multiply. Can you write a number sentence where this is not true? Personal Connections 15

Sample Problems 16

Division Mrs. James counted 42 candies in her package of M & M’s. She wants to share them with herself and 5 students. How many M & M’s will each person get? Total M. J. candies # in Each Groups Mrs. James counted 42 candies in her package of M & M’s. She wants to give each student 6 M & M’s. How many students will get M & M’s? Total M. J. candies # in Each Groups 17

Sample Problems Personal Connections 18

Multiplication vs. Division • Write a number sentence that matches the picture. 24 Cody minutes 4 Day 1 Cody minutes 4 4 Day 2 3 4 4 Day Day 4 5 ? 4 4 4 ? 4 Day 1 Cody minutes 4 4 4 Day 2 3 Day Day 4 5 6 24 ? Day Day 1 2 3 Day Day 4 5 6 Look at the model drawings. What stayed the same? What changed? How are multiplication and division different? 19

Sample Problems Personal Connections 20

Fact Families • Fill in the Fact family for the numbers below. • Be sure to label vocabulary: factors, product, quotient… 28 ×÷ 4 ? What is important to remember when writing a fact family? Personal Connections 21

Sample Problems 22

Revised Aug. 2010 How can you show 0 x 0= 1 x 0= 2 x 0= 0 x 1 0 x 2= What do you see, what do you notice? (Rule) How can you show 1 x 1= 2 x 1= 3 x 1= 1 x 2= 1 x 3= What stayed the same? What changed? What do you notice when multiplying by 1? (rule) How can you show 2 x 2= 3 x 2= 4 x 2= 2 x 3= 2 x 4= What do you see, what do you notice? 23 How can the commutative property (turn around fact) of multiplication help you?

Revised Aug. 2010 What do you see, what do you notice? 24 List #’s 0 -9 What do you see, what do you notice?

Patterns: Relationships in a Table 48 32 25 In In In Out 30 Out 14 Out 7 • Write a number sentence showing the rule for the number machine. • Describe the rule for this number machine using words. Days in Weeks Number of Weeks 1 Number of Days 7 21 28 49 3 4 7 • Write an expression to find the number of days in 7 weeks. • Describe the relationship in the table using words. Explain what is important to remember when trying to find a pattern between numbers? How are relationships in tables similar to fact families? Personal Connections 25

Sample Problems 26