Mathematics Coaches’ Training November 13, 2009 Presented by Carla Clayton-Lewis Mathematics Instructional Specialist Capacity Development and School Reform Accountability

Group Expectations Silence cell phones Participate and share Listen with an open mind Ask questions Work toward solutions Use time effectively

What is Hands-On Equations? Hands-On Equations is a visual and kinesthetic system developed by Dr. Henry Borenson for introducing students in grades 3 to 8 to essential algebraic concepts. It is a system designed to enhance student self-esteem and interest in mathematics.

Hands-On Equations (cont’d ) Hands-On Equations (cont’d ) In a few lessons students learn to solve equations such as 4x + 3 = 3x + 9 and 2(2x + 1) = x + 8. Later lessons teach additional concepts. The students physically set up the equation using the game pieces and a flat laminated balance and then proceed to carry out "legal moves" to solve the equation. The legal moves are the physical counterpart of the abstract mathematical principles which are used to solve these equations.

What are the benefits of using Hands-On Equations? What are the benefits of using Hands-On Equations? No algebraic prerequisites are required It is a game-like approach that fascinates students The gestures or "legal moves" used to solve the equations reinforce the concepts at a deep kinesthetic level The program can be used as early as the 3rd grade with gifted students, 4th grade with average students and 5th grade with LD students

Benefits of using Hands-On Equations (cont’d) Students attain a high level of success with the program The program provides students with a strong foundation for later algebraic studies The concepts and skills presented are essential for success in an Algebra 1 class

Hands-On Equations Sample Equations: Three Levels Level I: Lessons #1 - #7: Red Booklet. Students use the red cubes and blue pawns to setup and solve : 4x + 3 = 3x + 9 and 2( 2x + 1) = 3x + 10 Level II: Lessons #8 - #16: Blue Booklet. Students use the red cubes, blue pawns, and white pawns to setup and solve: 2x = * + 6 and 2x - * + 2 = * + 10 Level III: Lessons #17 - #26: Green Booklet. Students use the red cubes, blue pawns, white pawns, and green cubes to setup and solve: 2* + 3 = -6 + x and x – 2 (* + 2) = 5

Using the Hands-On Equations Pretest Activity You will be given a set of questions to answer without any directions on how to answer the questions. Your task is to: Answer the questions without the use of manipulatives. YOU DO!

It’s time to Explore and Practice using… A Step by Step visual guide to Hands-On Equations

Mathematics Capacity Development Team Michelle White, Mathematics Manager Shabana Ahmad-Farook Bobbie Brooks Dale Carothers Cara Hayden Carla Clayton-Lewis Stephen Smith Altoria Henley Sharon Martinez Kim Pirtle Carol Sheffield Noel Elvir Allison Castellano Thank you for all that you do for our students!