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Mathematics with Worked Examples

A companion site for the book, "Teaching Math with Examples"

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Faded Practice for Solving Systems of Linear Equations with Elimination

I start with this warmup from Illustrative Mathematic’s lesson on elimination: Their materials include a nice example analysis activity as…

Faded Practice – Substituting to Solve Systems of Linear Equations

First, an estimation warm up to make sure everyone understands what we’re trying to do. Then, a mistake analysis problem,…

Completing the Square

Here’s what I’ve used in class this week, mostly to good effect.

quadratics

Implicit Differentiation Examples

Here are some example-ish tasks I used to introduct implicit differentiation. First, a warm up, to help students notice and…

derivative

Comparing Explicit and Implicit Differentiation

Here was the original problem from Calc Medic: The thought of comparing two strategies made me think of the Compare…

derivative

Mistake+Example for finding the distance of a trip

This mistake came via Bowman Dickson: Here is the example/mistake that I came up with for sharing with students: I’m…

distance, pythagorean

Faded Practice with Equations of Lines

I took these images from the Kuta Software worksheets (actually the answer keys) and am turning them into some faded…

graphing, linear

Finding the Constant of Proportionality

Looks like I took the table from the lesson summary from one of these lessons and wrote an example activity…

constant of proportionality, proportional relationships, tables

Solving Equations that have fractions

Here are two worked-out strategies, in the spirit of Compare & Discuss — a great site for worked example activities.…

solving equations

Inscribed Angle Mistake

Here’s one of those mistakes that crop up every year. When I hit one of those, I try to “call…

circle theorems, inscribed angle

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