AchieveMath

Levels

K-5

Instructional Intervention

Teaching Math Skills

to Achieve Common Core Outcomes

SAMPLE This document is for demonstration purposes only

Math Skills

Multiply & Divide within 100 – 3.OA.7

Objective: Multiply and Divide within 100 Pre-Requisite

Current

Growth

Work with equal groups of objects to gain foundations for multiplication

Multiply and divide within 100

Multiply and Divide whole numbers with up to four digits

(3.OA.7)

(2.OA.2, 2.OA.3) AchieveMath: Level 2, Lessons 4, 20-22

(4.NBT.5, 4.NBT.6) AchieveMath: Level 3, Lessons 23-26, 33-38

AchieveMath: Level 4, Lessons 23-38

Review & Pre-Assessment • Underline the digit in the ones place of and determine if the number 20 is odd or even (20, even) • 5 x 2 = (10) • 2 x 2 = (4) • 3 X 6 = (18) • 3 X 1 = (3) • Draw a picture to illustrate the following multiplication problems (pictures will vary) ◊ 4 x 4 = (16) ◊ 7 x 4 = (28)

Instruction EXPLORING PROPERTIES OF MULTIPLICATION: • List the following properties on the board: Associative Property, Commutative Property, Identity Property, Zero Property. Create an example of the first property (i.e. (2x4) x7 = 2x (4x7)). Solve this example for the students. Check both sides of the equation with the students to prove that both sides are equal. Follow this procedure with the remaining properties. (PS.1, PS.2) • Divide the students into pairs. Assign two different properties to each pair. Ask each pair to create two examples for the properties. Have the students write the examples. Allow the students time to work out the problems. Have students share their problems. (PS.2, PS.3) • Provide students with 4-10 examples and ask them to identify the corresponding property. Share all answers. (PS.1, PS.2, PS.3) EXPLORING RELATIONSHIPS BETWEEN MULTIPLICATION AND DIVISION: • Provide students with 3-5 sets of completed multiplication problems within 25. Each set should use the same three numbers (i.e. 2 x 3 = 6, 2 x3 =6, and 6 ÷ 3 = 2, 6 ÷ 2 = 3). Ask students to identify the connection between the problems (Students should be able to say that the numbers are the same in AchieveMath

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Multiply & Divide within 100 – 3.OA.7 

Math Skills

AchieveMath

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Math Skills

Multiply & Divide within 100 – 3.OA.7

• Provide students with 3 to 6 division problems with two to and three digit number to solve individually. Take note of the students’ ability to work through the examples. Are the students able to correctly divide the groups? Share answers. (PS.1, PS.2, PS.3, PS.4)

• Allow struggling learners to work with a partner

• Pair students with a struggling learner for peer tutoring

• Provide students with multiplication in division problems using only single digit numbers

• Challenge students to complete similar problems with two and three digit numbers

• Have student create their own problems and answer to trade with a classmate

• Allow students to use manipulatives such as: counter or tokens, base ten blocks, and multiplication flash cards when solving problems

• Have student identify and explain a real life application

Evidence of Learning • Students will be able to fluently multiply and divide within 100 • Students will be able to demonstrate the relationship between multiplication and division • Student will know from memory all products of two one-digit numbers • Given a multiplication or division problem, students will be able to apply the property of operations to reach a conclusion • Students will understand and apply the properties of operations: Associative Property, Commutative Property, Identity Property, Zero Property

AchieveMath

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