Hands-On Linear Algebra

Math Help Tutoring Ongoing

Arden Ashley-Wurtmann, MSEd

Average rating:4.9Number of reviews:(394)

Use algebra tiles to physically represent numbers and algebraic expressions, solve linear and literal equations and solve systems of equations.

Class Experience

In this course, learners will use algebra tiles to explore key concepts in Algebra 1. Our agenda will look like this: 

Session 1: Representing Expressions
Learners will be introduced to the use of algebra tiles, including different ways to represent both positive and negative values. They will become familiar with translating between written expressions and equations and those represented with algebra tiles. 

Sessions 2 and 3: Solving Equations and Inequalities
Learners will begin solving...

Over the course of teaching math for over a decade, I have found that the most difficult aspect of transitioning to algebra is the fact that math becomes less concrete. Using algebra tiles is a fun and interesting way to represent abstract concepts (like variables and negative numbers) with concrete objects that can be physically manipulated. I love solving problems this way and seeing students grasp concepts that were previously too confusing or unfamiliar.

Homework Offered
Assessments Offered
Grades Offered

  1 file available upon enrollmentLearners will need an EAI Combination Algebra Tiles Set (54 pieces). 
This set can be purchased for about $8. These links are provided for your convenience and are not affiliate links.

https://www.amazon.com/EAI-Education-Algebra-Tiles-Combination/dp/B079G82YGW/ref=sr_1_11keywords=algebra+tiles&qid=1561070859&s=gateway&sr=8-11

https://www.eaieducation.com/Product/520692/Algebra_Tiles_Combination_Set_-_54_pieces.aspx

This set can also be used for my Hands-On Quadratic Equations course. Purchasing this set for the Linear Algebra course ensures that you have the materials for both courses. 

It is easiest if we all have the same set, however if you already own Algebra tiles or wish to purchase a different set, please make sure you have the following tiles: 
At least 20 units 
At least 10 "x" tiles
At least 10 "y" tiles
At least 5 "y-squared" tiles
At least 5 "x-squared" tiles

In a pinch, you can also print algebra tiles on cardstock and cut them out. In the initial materials I have included a PDF of some printable algebra tiles if you would like to do this. (If you plan to purchase the plastic Algebra tile set, you do not need to do anything with this file.) Cutting them out precisely is important, though, and would need to be done before class begins. 

Handouts will be provided as needed throughout the course. Learners will need the ability to download and print documents. Learners will also need a pencil!

Learners will not need to use any apps or websites beyond the standard Outschool tools.

Learners should have a basic understanding of algebraic concepts. I recommend that learners take this class after taking Pre-Algebra and while studying 8th grade Algebra or Algebra 1. Depending on when learners take the class, it might be a hands-on introduction to core Algebra 1 concepts, or a review. 

Learners may find it helpful to have taken my "Puzzling Into Algebra" workshops prior to this course, however they are not a pre-requisite.

Meet the teacher

Arden Ashley-Wurtmann, MSEd

Average rating:4.9Number of reviews:(394)

I have been teaching since 2006 and my specialties are Pre-Algebra, Algebra and Geometry.  Although I have been focusing on math education for the majority of my time as a teacher, I started my career in the sciences. I have a biology degree from...