scaffolding
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Sales Price Entry Point

A pseudo- concrete representation of a sales price problem is shown below. This is what I use as an entry point for teaching these problems. The entire shape represents the total price of $80. This is 100%, which in student language is “the whole thing.” The discount rate is 25%. Cut with scissors to lop…
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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…
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One More or One Less Scaffolding
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Making Slope Less Complicated
Slope is the rate of change associated with a line. This is a challenging topic especially when presented in the context of a real life application like the one shown in the photo. The graphed function has different sections each with a respective slope. One aspect of slope problems that is challenging is the different…
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Fraction Word Problems Scaffolded
Above is a handout used to scaffold student work with fraction word problems (more on this below). Here is a type of word problem I recently encountered in working with a student with special needs: There are 60 students. 3/5 of the students are girls. How many students are girls? The student struggled with this problem…
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Targeting Gaps in a Math Topic
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CEC 2014 Presentation on CCSS Math Support
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Counting Out Total Value of Coins

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Interpreting Slope Intercept
Slope is one of the most important topics covered in high school algebra yet it is one of the least understood concepts. I have two observations about this. First, slope is often introduced with the formula and not as a rate of change. Second, students intuitively understand slope as rate of change conceptually when presented…
