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Chapter 3: Exercises

Exercise 3.1

  • Create a list of advantages and disadvantages for each of the following evaluation techniques:
  • quizzes
  • tests
  • portfolios
  • group work
  • reports
  • individual projects
  • software programs.

List any assessment techniques you feel are inappropriate for a secondary mathematics class and describe why you think they would not work for you.

Chapter 3: Problem Solving Challenges

 

Question 1: Largest Number

What is the largest number you can write using three digits? You may use a digit more than once.

Answer    [Click to reveal...]

Answer:

Using nines for each digit, there are four choices: 999, , , and

  • 999  = 999
  • 999 = 913517247483640899
  • 999 = 29512665430652752148753480226197736314359272517043832886063884637676943433478020332709411004889
  • has over 356,000,000 digits.

 

 

Question 2: Handy Man

A man walks into a hardware store. He buys 1 for a dollar, 50 for two dollars, and 200 for three dollars. What is the man buying?

Answer    [Click to reveal...]

Answer: House numbers (decals)

Typical guesses include nuts, bolts, nails, washers, etc. Actually, the 1 is made up of one digit, 50 is made up of two digits, and 200 is made up of three digits. Each digit (decal) costs $1. Therefore, if your house number is 200, then you would need three digits, which would cost $3.

Chaper 3: Videos

 

Introduction

Sticky Question

Problem Solving