Count Equal Groups. in all. Count equal groups to find how many. groups of. groups of. in all. in all R20
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1 Lesson 3.1 Count Equal Groups Equal groups have the same number in each group. There are 3 tulips in each of 4 vases. How many tulips are there in all? Step 1 Think: there are 4 vases, so draw 4 circles to show 4 equal groups. Step 2 Think: there are 3 tulips in each vase, so draw 3 dots in each group. Step 3 Skip count by 3s to find how many in all: 3, 6, 9, 12 There are 4 equal groups with 3 tulips in each group. So, there are 12 tulips in all. 1. Draw 3 groups of 5. Skip count to find how many. in all Count equal groups to find how many groups of in all groups of in all Grade 3 R20
2 Lesson 3.2 Algebra Relate Addition and Multiplication You can add to find how many in all You can also multiply to find how many in all when you have equal groups The factors are 3 and 2. The product is 6. So, and Write related addition and multiplication sentences for the model Draw a quick picture to show the equal groups. Then write related addition and multiplication sentences groups of groups of Grade 3 R21
3 Lesson 3.3 Skip Count on a Number Line When you have equal groups, you can skip count on a number line to find how many in all How many jumps are there? 6 How long is each jump? 4 spaces Think: 6 jumps of 4 shows 6 groups of 4. Multiply Skip count by drawing jumps on the number line. Find how many in 4 jumps of 4. Then write the product _ 2. Draw jumps on the number line to show 6 groups of 3. Then find the product _ 3. Write the multiplication sentence the number line shows _ 3 _ 5 _ Grade 3 R22
4 Lesson 3.4 Problem Solving Model Multiplication There are 2 rows of flute players in a marching band. Each row has 7 students. How many flute players are there in all? Read the Problem What do I need to find? I need to find how many flute players are in the marching band. What information do I need to use? I know there are 2 rows. There are 7 students in each row. How will I use the information? I will draw a bar model to help me see what operation I need to use to solve the problem. Solve the Problem Complete the bar model to show the flute players. Write 7 in each box to show the 7 students in each of the 2 groups students Since there are equal groups, I can multiply to find the number of flute players in the band So, there are 14 flute players in all. 1. The Coopers put a new floor in the bathroom. There are 5 rows of 6 red tiles. How many tiles did they use? 2. Tommy has a jar of coins. He makes 8 piles of 4 quarters. How many quarters does Tommy have in all? Grade 3 R23
5 Lesson 3.5 Model with Arrays An array is a set of objects arranged in rows and columns. Write a multiplication sentence for each array. row column This array has 2 rows and 5 columns. Count by fives. 2 rows of 5 are 10. The multiplication sentence is This array has 5 rows and 2 columns. Count by twos. 5 rows of 2 are 10. The multiplication sentence is Write a multiplication sentence for the array Grade 3 R24
6 Lesson 3.6 Algebra Commutative Property of Multiplication The Commutative Property of Multiplication states that you can change the order of the factors and the product stays the same. There are 4 rows of 5 tiles. There are 5 rows of 4 tiles. Think: 4 equal groups of Multiply Think: 5 equal groups of Multiply The factors are 4 and 5. The product is 20. Write a multiplication sentence for the array Write a multiplication sentence for the model. Then use the Commutative Property of Multiplication to write a related multiplication sentence Grade 3 R25
7 Lesson 3.7 Algebra Multiply with 1 and 0 Find the product Model Each circle contains 0 counters. 4 circles 3 0 counters 5 0 counters Zero Property of Multiplication The product of zero and any number is zero. So, and Find the product Model Each circle contains 1 star. 6 circles 3 1 star 5 6 stars Identity Property of Multiplication The product of any number and 1 is that number. So, and Find the product _ _ _ _ _ _ _ _ Grade 3 R26
Count Equal Groups. in all. Count equal groups to find how many. groups of. groups of. in all. in all
Lesson 3.1 Reteach Count Equal Groups Equal groups have the same number in each group. There are 3 tulips in each of 4 vases. How many tulips are there in all? Step 1 Think: there are 4 vases, so draw
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