abc  
 
Solutions and Samples
   
of student work
 
22.

Answers will vary. Sample response:

23.

a. Answers will vary. Sample response:

 

b. Answers will vary. Sample response:

 
Hints and Comments
 
   

Overview Students read and discuss the Summary, which reviews the main concepts covered in this section. They then describe two ways to determine whether or not a given number is super-even. Lastly, students are asked to set up a tournament for a super-even number of players.

Planning You may want to use problem 22 as an assessment. It will show students' understanding of super-even numbers. Students may work individually or in pairs of problems 22 and 23. After students complete Section C, you may assign appropriate activities from the Try This! section, located on pages 39-42 of the Student Book, for homework.

Comments about the Problems

22. Informal Assessment This problem assesses students' ability to reason about patterns using pairing; symmetry; even, odd, and super-even numbers; symbols; and directions. The Extension below can also be used to assess this goal. It may also be assigned as homework.

Extension Ask students to investigate the following statements:

The sum of two super-even numbers is super-even. [The statements is not true. For example, the sum of 4 and 8 is 12. Although 4 and 8 are super-even, 12 is not.]

The sum of two equal super-even numbers is super-even. [This statements is true. Adding a super-even number to itself results in the next super-even umber. For example, 4 + 4 = 8, and 8 + 8 = 16.]

Allow students to investigate the statements using number examples and have them write down how they determined their answers

  Mathematics in Context • Patterns and Symbols
Section C   Even and Super-Even  53

MATHEMATICS IN CONTEXT - Patterns and Symbols: V-Patterns- Sections A & C
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