Number & Operations (Multiplication as Repeated Addition)

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Computation & Estimation (CE)3.2 NUMBERS AND OPERATIONS, ALGEBRA, AND DATA ANALYSIS

3.2.1 Represent and apply the concept of multiplication as repeated addition.

3.2.2 Represent and apply the concept of division as repeated subtraction and forming equal groups.

3.2.3 Apply models of multiplication (e.g., equal-sized groups, arrays, area models, equal "Jumps" on number lines and hundreds charts ) and division (e.g., repeated subtraction, partitioning and sharing ) to solve problems.

3.2.4 Apply increasingly sophisticated strategies based on the number properties ((e.g., place value, commutative, associative, distributive, identity, and zero) to solve multiplication and division problems involving basic facts.

3.2.6 Represent, analyze and extend number patterns using rules that involve multiplication and/or addition ((e.g.,

3.2.7 Analyze frequency tables, bar graphs, picture graphs and line plots; and use them to solve problems involving addition, subtraction, multiplication and division.

Grade 3 MATH:Oregon Department of Education Standards f

or Practice or Progress Monitoring.

These problems are presented in an OAKS testing format. A passing grade is 80%

This booklet will focus ONLY on the items in Bold Black [3.2.1] in the table below.

In 2011-2012 these standards will be added to the OAKS assessments.

3.2.5 Apply the inverse relationship between multiplication and division (e.g., and the relationship between multiples and factors

Book #4

This booklet will focus on ONLY the items in Bold Black [3.2.1]

Teachers: To assure that the above standards are understood, always remind, ask and show your students:

3.2.1

1. Multiplication is repeated addition.2. Practice representing multiplication with

manipulatives in arrays.3. Always ask: What strategies can you use to solve

a multiplication problem?

Teacher Information. . . This booklet does not cover the core standards that will be tested in 2011-2012.

3.2.1 Represent and apply the concept of multiplication as repeated addition.

The test samples and strand data for this booklet can be found on the Oregon State Departments of Education web site. The use of this booklet was designed for the Hillsboro School District based on HSD Power Standards along with the ODE strand categories. This booklet is paid for and furnished to teachers for instruction by the HSD.

The concept of this booklet was created by Rick & Susan Richmond© Rick & Susan Richmond 2010 Revision: Original 03-2010

No part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, without written permission from Rick & Susan Richmond and the Oregon State Department of Education and the Hillsboro School District.

Current Standards:

Page 1 Page 10

Do your work here:

10. Dana's dog had 12 puppies. Each week she sold some of the puppies.

If the pattern keeps going, how many puppies will she have left in the fifth week?

A. 0

B. 1

C. 3

D. 5

2001=2002 Sample Test, Grade 3Oregon Department of Education

1. Use the array to help find the product.

3 x 8 = ________

A. 16

B. 22

C. 24

D. 32

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Do your work here:

2004-08 Sample Test, Grade 3Oregon Department of Education

9. What number should be put into the box?

A. 16

B. 20

C. 24

D. 30

Item Difficulty Sample Grade 3Oregon Department of Education

2. Rachel played in 8 soccer games. She scored 4 goals in each game. Which number phrase shows the total she scored?

A. 4 + 4 + 4 + 4

B. 8 x 4

C. 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8

D. 8 + 4

Do your work here:

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Do your work here:

2005 Ohio Sample Test, Grade 3Ohio Department of Education

Do your work here:

3. Which describes the rule for this pattern?

2, 6, 18, 54

A. multiply by 3

B. multiply by 4

C. multiply by 6

D. Multiply by 2

8. Looking at Figure 1 – Figure 3 below.

Which is a rule for the pattern below?

Figure 1 Figure 2 Figure 3

A. Take away two circles.

B. Add two circles.

C. Add four circles.

D. Add six circles.

2005 Ohio Sample Test, Grade 3Ohio Department of Education

Page 4Page 7

Do your work here:Do your work here:

7. Martin has three boxes of erasers. Each box holds 12 erasers. How many erasers does he have in all?

A. 4

B. 15

C. 24

D. 36

2005 Ohio Sample Test, Grade 3Ohio Department of Education

4. Which is another way of writing 4 + 4 + 4 + 4 + 4?

A. 5 x 4

B. 4 x 4

C. 6 x 4

D. 3 x 4

Rick & Susan Richmond based on ODE Standard 3.2.1

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Do your work here:Do your work here:

2000-10 Rick & Susan Richmond2005 Ohio’s Achievement Tests Grade 3

5. Ms. Turner is ordering 10 boxes of pencils. Each box holds 100 pencils. How many pencils is she ordering?

A. 10

B. 100

C. 1,000

D. None of the above.

100 pencils

100 pencils

100 pencils

100 pencils

100 pencils

100 pencils

100 pencils

100 pencils

100 pencils

100 pencils

6. Sally has 90 stickers. She gives all of the stickers to 10 of her friends. Each friend gets the same number of stickers.

Which number sentence shows how many stickers each friend gets?

A. 90 + 10 = 100

B. 90 x 10 = 900

C. 90 10 = 9

D. None of the above.