Concrete-Representation-Abstract


  • Simplifying Algebraic Expressions with Negatives by Eating Tacos and Burritos

    Simplifying Algebraic Expressions with Negatives by Eating Tacos and Burritos

    Here is a link to the Intro to Simplifying (no negatives). Link to the Google Slides used to present the simplifying. Link to a Youtube video showing how it works. Link to a Facebook Reel showing how it works.


  • Intro to Simplifying Algebraic Expressions with Tacos and Burritos

    Intro to Simplifying Algebraic Expressions with Tacos and Burritos

    Here is a Facebook Reel showing how the slides are presented. Here is a link to a YouTube video showing how the slides are presented. Here is a link to the Google Slides seen in the video. Make a copy in order to edit.


  • Intro to Concept of Functions

    Intro to Concept of Functions

    Functions are perhaps the most prevalent and important topic covered in secondary math, aside from maybe 1 variable linear equations. The concept of a mathematical function is challenging for many students. This post provides details about a meaning making approach to introducing functions. Overview The introduction is presented on a Google Jamboard, to allow for…


  • Intro to Percent Change on Jamboard

    Intro to Percent Change on Jamboard

    This post provides details about an artifact that has a manipulative and visual representation of tax rate and discount rate. These contexts are used as an introduction to percent change. The manipulatives are presented on a Google Jamboard. Overview The price or original price is presented as dollar bill. The bill is cut into proportional…


  • Base 10 Blocks on Jamboard for Subtraction

    Base 10 Blocks on Jamboard for Subtraction

    This post provides access to and details about a Google Jamboard with scaffolded background to support multi-digit subtraction with regrouping. The Jamboard The Jamboard has images of basic base 10 blocks. The background provides side by side tables for numbers and for blocks. Additional blocks are set aside for regrouping. Here is a FB Reel…


  • Exponent Rules with Jamboard

    Exponent Rules with Jamboard

    The Product and Quotient Rules are challenging largely because there are few ways to present them in an accessible format. This post outlines an approach using manipulatives on a Google Jamboard. Jamboard The Jamboard activity involves using moveable variables as manipulatives to provide a hands on approach to learning the rules. The first slide presents…


  • Intro to Google Jamboards

    Visuals and manipulatives allow for a multi-sensory approach to presenting math topics. Google Jamboard makes implementation of both relatively easy and is effective. Current Jamboard Here is an image of Jamboard used to guide multiplication by a 2-digit factor. Creation of the Jamboard Below is a step by step visual guide on how I created…


  • Introduction to Adding Integers

    Introduction to Adding Integers

    Operations on integers and integers in general is challenging for many students. Negative numbers are abstract. Whole numbers and fractions can be represented with images. The activity presented draws upon student prior knowledge of thumbs up and down in a vote to make negative more accessible. The following images are from a Jamboard. Here are…


  • Intro to Ratios using Jamboard

    Intro to Ratios using Jamboard

    Below are images from a Google Jamboard for a hands on introduction to ratios. (See image at the bottom for how to make a copy in order to use it.) The images are from Clever Cat Creations and provide a visual representation. The moveable items engage the students kinesthetically. It also helps unpack the concept…


  • Solving Proportions – Scaffolded and Jamboard

    Solving Proportions – Scaffolded and Jamboard

    Below are images from a Jamboard and a handout that scaffold cross multiplying to solve a proportion. (See image at bottom to make a copy of the Jamboard.) This is an entry point, with a focus on how to write the ensuing equation. Solving would be a prerequisite skill so it is not addressed (but…