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Page 1: Chapter 09. 9 | 2 Copyright © Cengage Learning. All rights reserved. Instructional Goals and Objectives With Number Theory and Integers

Chapter 09

Page 2: Chapter 09. 9 | 2 Copyright © Cengage Learning. All rights reserved. Instructional Goals and Objectives With Number Theory and Integers

9 | 2Copyright © Cengage Learning. All rights reserved.

Instructional Goals and ObjectivesWith Number Theory and Integers

Page 3: Chapter 09. 9 | 2 Copyright © Cengage Learning. All rights reserved. Instructional Goals and Objectives With Number Theory and Integers

9 | 3Copyright © Cengage Learning. All rights reserved.

Mathematical Routine:Number Talk

-32 - 45 =

Page 4: Chapter 09. 9 | 2 Copyright © Cengage Learning. All rights reserved. Instructional Goals and Objectives With Number Theory and Integers

9 | 4Copyright © Cengage Learning. All rights reserved.

Conversation in Mathematics

• Discuss the confusion that some of the students are having around odd and even numbers.

• Discuss the possible goals that the teacher had before presenting this problem to the class.

Page 5: Chapter 09. 9 | 2 Copyright © Cengage Learning. All rights reserved. Instructional Goals and Objectives With Number Theory and Integers

9 | 5Copyright © Cengage Learning. All rights reserved.

Goals and Objectives

• Pedagogy

Page 6: Chapter 09. 9 | 2 Copyright © Cengage Learning. All rights reserved. Instructional Goals and Objectives With Number Theory and Integers

9 | 6Copyright © Cengage Learning. All rights reserved.

4 Goals around which to Design Instruction

• Content• Process• Disposition• Social

Page 7: Chapter 09. 9 | 2 Copyright © Cengage Learning. All rights reserved. Instructional Goals and Objectives With Number Theory and Integers

9 | 7Copyright © Cengage Learning. All rights reserved.

Content Goals

Page 8: Chapter 09. 9 | 2 Copyright © Cengage Learning. All rights reserved. Instructional Goals and Objectives With Number Theory and Integers

9 | 8Copyright © Cengage Learning. All rights reserved.

Process Goals

• Problem solving• Communication• Reasoning and Proof• Representation• Connections

Page 9: Chapter 09. 9 | 2 Copyright © Cengage Learning. All rights reserved. Instructional Goals and Objectives With Number Theory and Integers

9 | 9Copyright © Cengage Learning. All rights reserved.

Disposition Goals

Page 10: Chapter 09. 9 | 2 Copyright © Cengage Learning. All rights reserved. Instructional Goals and Objectives With Number Theory and Integers

9 | 10Copyright © Cengage Learning. All rights reserved.

Social Goals

Page 11: Chapter 09. 9 | 2 Copyright © Cengage Learning. All rights reserved. Instructional Goals and Objectives With Number Theory and Integers

9 | 11Copyright © Cengage Learning. All rights reserved.

Number Theory and Integers

• Content

Page 12: Chapter 09. 9 | 2 Copyright © Cengage Learning. All rights reserved. Instructional Goals and Objectives With Number Theory and Integers

9 | 12Copyright © Cengage Learning. All rights reserved.

Odd and Even Numbers

Page 13: Chapter 09. 9 | 2 Copyright © Cengage Learning. All rights reserved. Instructional Goals and Objectives With Number Theory and Integers

9 | 13Copyright © Cengage Learning. All rights reserved.

Prime Numbers

• Making Candy boxes• Eratosthenes Sieve

Page 14: Chapter 09. 9 | 2 Copyright © Cengage Learning. All rights reserved. Instructional Goals and Objectives With Number Theory and Integers

9 | 14Copyright © Cengage Learning. All rights reserved.

Zero Pair4 + 5 or (+4) + (+5)6 - 3 or (+6) - (+3)3 - 6 or (+3) - (+6)(+3) + (-4)(+6) - (-2)(-5) + (-3)(-7) - (-10)

Integers