Algebra Tiles – What Are They and How to Make Them
In this video, I introduce three websites where there is information on how to make algebra tiles for your classroom. And we discuss the dimensions and colors of the algebra tiles and what they mean.
Algebra Tiles Artwork – An Introductory Activity
This is a suggested art project to help students learn about algebra tiles and practice naming them. Students are asked to create a piece of art and state its value in terms of the tiles used. This project is from the following website: https://growingexponentially.wordpress.com/2016/03/27/polynomial-art-project/
Solving One-Step Linear Equations with Algebra Tiles
An introduction to solving equations using algebra tiles. Applications are limited to equations that require only one step to solve. Methods for recording the work with the algebra tiles are also demonstrated.
Solving Two-Step Linear Equations with Algebra Tiles
Several examples of how to use algebra tiles to solve equations in two steps are shown. The parallels between solving using the algebra tiles and the usual algebraic methods are shown.
Multiplying Polynomials Part 1 – Arrays with Algebra Tiles
An introduction to multiplying polynomials using algebra tiles. Emphasis placed on the factors being the dimensions of the array and the product being the area of the array. It is important to pay special attention to the linear dimensions of the pieces (or factors) and the area dimensions of the rectangle (or product).
Multiplying Polynomials Part 2 – Including Negative Terms
A deeper look into multiplying binomials with algebra tiles where some of the terms are negative. Two examples are explained, and students are encouraged to practice more and create challenges for their friends.
Factorising Part 1 – Leading Coefficient of 1
An introduction to factorising using algebra tiles. Emphasis is on the location of the factors and product in an array. The factors are the dimensions of the array, the product is the area of the array.
Factorising Part 2 – Leading Coefficient Is Not 1
A deeper look at factorising using algebra tiles. The problems are becoming slightly more difficult. Emphasis is placed on the location of the “x” valued tiles and the "ones" or number part of the expression. The “x” tiles need to be to the right and below the “x2” square and the “ones” need to be in a rectangle in the bottom right corner.
Factorising Part 3 – With Negative Terms Including Factoring the Difference of Squares
Three more examples of how to factor trinomials using algebra tiles. The examples involve negative terms. We creatively add zero pairs of a negative “x” and a positive “x” to create the necessary rectangle or product.
Factorising Part 4 – Open Ended Factoring
In this video we use Algebra tiles and open-ended problems to explore factorising trinomials. By exploring open-ended problems, we are encouraging students to reason, think outside the box, and communicate with each other about mathematics. Two problems are explored, and teachers and students are encouraged to create challenges for each other.
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