Hands on activity with Algebra Tiles!
The intention of this presentation is to introduce students to Algebra Tiles, to help them understand how to model expressions using the tiles, and to use the tiles to determine if expressions are equivalent.
Students will need a set of Algebra Tiles or students can draw the tiles on paper if they do not have a set.
You can project this presentation from your computer or print and project with your document camera.
Have students attempt to model the expressions on each slide. After they have given it a try, move to the next slide to reveal the model.
Apply the properties of operations to generate equivalent expressions. For example, apply the distributive property to the expression 3 (2 + x) to produce the equivalent expression 6 + 3x; apply the distributive property to the expression 24x + 18y to produce the equivalent expression 6 (4x + 3y); apply properties of operations to y + y + y to produce the equivalent expression 3y.
Identify when two expressions are equivalent (i.e., when the two expressions name the same number regardless of which value is substituted into them). For example, the expressions y + y + y and 3y are equivalent because they name the same number regardless of which number y stands for.
Texas Essential Knowledge and Skills:
TEKS 6.7 Expressions, equations, and relationships. The student applies mathematical process standards to develop concepts of expressions and equations. The student is expected to:
(C) determine if two expressions are equivalent using concrete models, pictorial models, and algebraic representations; and
(D) generate equivalent expressions using the properties of operations: inverse, identity, commutative, associative, and distributive properties.