Nyasha Okor, SLC, Title I Math Lead, firstname.lastname@example.org
I can differentiate instruction using algebra tiles and the Concrete, Representation, and Abstract (CRA) progression model.
- Effective Use of Algebra Tiles
- Play time - naming pieces
- Zero Principle
- Modeling Operations with Integers
- Algebraic Expressions (linear and quadratic)
- Modeling operations with Polynomials
- Solving Perimeter and Area Problems
- Solving linear equations and inequalities
- Factoring trinomials
- Solving quadratics by completing the square
- Virtual Manipulatives (Including online textbook resources)
How have you used manipulatives for classroom instruction?
Click on the button below and read independently.
Opening Page: Author's Reflection
Article: Blue Link at the bottom of the page
What standards do Algebra Tiles Support?
- Grade 6: Units 4, 5
- Grade 7: Units 1, 2
- Grade 8: Unit 5
- Algebra: Units 2, 3
http://www.doe.nv.gov/Standards_Instructional_Support/Nevada_Academic_Standards/Math/Resources/ (Deconstructed standards and learning targets)
Let's set up your graph paper to reflect this natural progression.
How does CRA increase student problem solving abilities?
On a sheet of graph paper, create 5 groups of tiles to represent the Zero Principle.
Food for Thought
- Have students come up with the rules/properties you are trying to teach them instead of telling them. They can share their discoveries and create a class list of them.
- Do NOT do the thinking for students. Let them discover the shortcuts when working with manipulatives. Then, you can ask them if it woks all the time.
–Addition, subtraction, multiplication, division
–Helpful YouTube video on multiplying integers:
–Helpful YouTube video on dividing integers:
–Evaluating (linear and quadratic)
–Addition and subtraction
Perimeter and Area
Construct 5 figures using Algebra Tiles and calculate their perimeter and area. It may help to draw a figure to get a representation (Remember CRA). Then, share two of your figures with a colleague. What would happen if you and that colleague combined your figures? What would the new perimeter and area be?
Quadratics: Completing the Square
- Very literal
- Steps to complete the square
- Going from standard to vertex form
- Solving by completing the square
https://www.youtube.com/watch?v=wvJQqO7Jcog (First 5 minutes)
•Algebra for All http://a4a.learnport.org/page/algebra-tiles
McGraw-Hill online Textbook (Resources, then tools)
Next Steps/Planning Time
- October 8: https://tackk.com/dearalgebraoct8
- November 5: https://app.nearpod.com/#/?pin=43B3D50589A3E562DD963EAD5BE2D699-1
- January 14: http://bit.ly/dearalgebrajan14
Midyear walkthroughs will be conducted by the last week in January.
March 24 - Meadows - Large Conference Room