From Arithmetic to Algebra: Variables, Word Problems, Fractions and the Rules

CONTENTS OF CURRICULUM UNIT 17.05.06

  1. Unit Guide
  1. Introduction
  2. Content Objectives
  3. Rationale
  4. Math Background
  5. Teaching Strategies
  6. Classroom Activities
  7. Appendix 1 – Rules of Arithmetic
  8. Bibliography
  9. Endnotes

Simplifying the Issues with Expressions

Xiomara Meyta Pacheco

Published September 2017

Tools for this Unit:

Classroom Activities

After students have understood the Rules of Arithmetic, they will be able to put what they have learned to use through activities for each tier. As a way to get them moving around the room for the Tier 1 question, students will be given a card labeled A or B with an expression on it and they must find which expression is equivalent to their own on the opposite lettered card.

Using the card given to you, either A or B, find the expression that is your equivalent.

A

B

A

B

(5+3)+7

5+10

(8+22)+3

8+25

2+(5+3)

7+3

(3+4)+5

3+9

(10+9)+31

10+40

(12+6)+8

12+14

(11+4)+5

11+9

9+(11+40)

20+40

4+(44+6)

48+6

1+(13+10)

14+10

The next activity will be used for a Tier 2 question and it will have the students working more closely with one another in pairs and later lead to whole class discussions to talk about how using the rules can lead to equivalent expressions.

With your partner, use the following cards to match the algebraic expressions that are equivalent. Once you find the equivalent expressions, answer the following:

  1. How do you know that the expressions are equivalent? Use complete sentences.
  2. Use substitution to prove that the expressions are equivalent.

A

B

A

B

(4x+3)+7

4x+10

4x+(3x+5)

7x+5

1+(2+4x)

3+4x

(20+34x)+32x

20+66x

(10x+4)+13

10x+17

4x+(6x+5)

10x+5

(9+5x)+8x

9+13x

(14x+17)+3

14x+20

(13+14x)+6x

13+20x

11+(2+13x)

13+13x

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