visual representation


  • 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…


  • 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…


  • Intro to Multiplication – A Sequence of Lessons

    Intro to Multiplication – A Sequence of Lessons

    Below are photos from multiple lessons to introduce multiplication. They are combined into a single document. I use a task analysis approach to first develop conceptual understanding of multiplication as repeated addition. This is followed by skip counting and then using skip counting to multiply. The lessons are not necessary completed in a single day.…


  • Introduction to Key Characteristics of Graphs Using a Rollercoaster

    Introduction to Key Characteristics of Graphs Using a Rollercoaster

    I introduce key characteristics with parabolas and use the analogy of a rollercoaster. Riding once (and never a again) the Superman rollercoaster at Six Flags New England got me thinking about this. At one point the rollercaster hits ground level (a zero) and then goes underground (negative y values). Here is a handout I use…


  • Unpacking Graphs Using a Rollercoaster

    Unpacking Graphs Using a Rollercoaster

    I introduce key characteristics with parabolas and use the analogy of a rollercoaster. Riding once (and never a again) the Superman rollercoaster at Six Flags New England got me thinking about this. At one point the roller coaster hits ground level (a zero) and then goes underground (negative y values). Handout Here is a handout…


  • Intro to Solving Equations – Seesaws and Oranges

    Intro to Solving Equations – Seesaws and Oranges

    Here is an introduction to solving equations using a Jamboard (see photo at very bottom for how to make a copy). A seesaw is used to unpack the concept of an equation as two sides that are equivalent. The box is used to unpack the concept of a variable representing an unknown number (or oranges…


  • Combining Like Terms – From Concrete to Symbolic Form

    Combining Like Terms – From Concrete to Symbolic Form

    Here is a Jamboard (see photo at very bottom for how to make a copy to edit) that presents like terms as visual manipulatives and then eases into the symbolic form – the “mathy” stuff. The following shows each slide as is and how it looks after completion. Start with two groups of common items,…


  • Introduction to Pythagorean Theorem

    Introduction to Pythagorean Theorem

    Here is a link to the Jamboard (make a copy to edit – see photo at the very bottom). The directions are on each slide. The photos below show what the results should look like. To make a copy, click 3 dots and choose copy.


  • Matching Activity for Multiplication Word Problems (and Creating)

    Matching Activity for Multiplication Word Problems (and Creating)

    Here is a matching activity on a Google Slides file for various multiplication word problems and matching groups of items. The students use gallery view of the slides and sort them to match. Then they can change the background color with a different color for each word problem and groups. This allows them a visual…


  • Matching Activity for Linear Function Representations

    Matching Activity for Linear Function Representations

    Here is a matching activity on a Google Slides file for various representations of a set of linear functions: verbal, symbolic (equation), graphical, and tabular (or data). The students use gallery view of the slides and sort them by function. Then they can change the background color with a different color for each function. This…