Presented at Mathematics and Computer Science Collaborative (MACS) in 2010

1. What is Pre-Algebra?
Shephali Chokshi-Fox
shepcfox@yahoo.com
Victoria Miles
victoria.miles1@gmail.com

2. Agenda
Grasping Absolute Value
Integer Operations
Algebraic Expressions
Non-conventional Approaches for Solving Equations
Exploring Patterns

3. Grasping Absolute Value
Activator (real-life examples)
New Vocabulary
Examples
Game: One Step Forward, Two Steps Back
Summarizer: Frayer Vocabulary Model
Assessment: MCAS test items

4. Integer Operations
Two models for subtracting integers
◦ Number Line
◦ Colored Chips
Practice Sheet
Reinforcement with playing cards

5. Algebraic Expression
Activator
Station Activity (clockwise)
◦ Recording sheet
Menu Math
◦ Activator
◦ Partner activity

6. Non-Conventional Approaches to Solving
Equations
Solving equations by making a diagram and
working backwards to find the unknown
◦ Model example
◦ Practice examples
Solving equations using a Fact-Family Approach
Teaching examples
Practice examples

7. Exploring Patterns
Being able to generalize patterns is a
foundational skill for algebraic thinking
The following activities support students’ ability
to generalize a pattern:
◦ Toothpick puzzles
◦ Number tricks with algebra tiles
◦ Tower of Hanoi

8. Summary Points
Pre-Algebra is all about the unknown.
◦ Algebraic expressions from real-life situations
◦ Solved equations using two non-traditional
methods
◦ Absolute Value game
◦ Two models for subtracting integers
Take-Away: In order for students gain a deeper
understanding of abstract concepts, they need
opportunities to explore using hands-on and real-life
examples/models.