visual representation


  • Word Problems with Unit Rates

    Word Problems with Unit Rates

    Word problems are challenging. In middle school and high school, word problems for proportional relationships and linear functions are particularly challenging. This post shows an visualization approach to unpacking the unit rate component of such word problems. Visualizing Unit Rate Below is an excerpt from a handout used to introduce such word problems. It starts…


  • Equal Parts of Fractions – Intro

    Equal Parts of Fractions – Intro

    The concept of fractions as some number of equal parts begins in 1st grade per the Common Core (image below). There are students who struggle with the idea of equal parts and this could undermine student work in subsequent topics. The activity cited in this post is designed to develop the concept of equal parts.…


  • Modified Multiplication Table – Area Model Included

    Modified Multiplication Table –  Area Model Included

    The idea is that the student will have to count squares and eventually skip count by how many rows. By doing so the student is more engaged (or less passive) in determining the product byy engaging the visual representation. I am interested in feedback and will revise if this could be useful. Here is a…


  • Introduction to Solving Equations

    Introduction to Solving Equations

    I introduce solving equations by building off of the visual presentation used to introduce equations. The two photos below show an example of handouts I use. Below these two photos I offer an explanation of how I use these handouts. First I develop an understanding of a balanced equation vis-a-vis an unbalance equation using the…


  • Snow Math

    Here’s a common word problem used for linear functions and equations (y=mx+b): There are 6 inches of snow on the ground. Snow is falling at a rate of 2 inches per hour. Write a linear equation showing total snow as a function of time (in hours). The equation would be y=2x + 6. Often the…