Extra Supports for Algebra 1: The Gateway Resources

By Sadie Estrella

Illustrative Mathematics’ high school curriculum is scheduled to be released this summer. This is an exciting time for Algebra 1, Geometry, and Algebra 2 teachers. I honestly am ready to take a job at a school just to have the opportunity to teach with this material (and everyone knows I am always dreaming of being back in the classroom). However, I want to bring light to a hidden gem I think not too many people are aware of that is also part of our high school materials.

Continue reading “Extra Supports for Algebra 1: The Gateway Resources”

Truth and Consequences Revisited

By William McCallum

What are extraneous solutions?

A while ago I wrote a blog post about solving equations where I talked about seeing the steps in solving equations as logical deductions. Thus the steps
\begin{align*}3x + 2 &= 5\\3x &= 3\\x &= 1\\ \end{align*}

are best thought of as a sequence of if-then statements: If $x$ is a number such that $3x + 2 = 5$, then $3x = 3$; if $3x = 3$, then $x = 1$. Continue reading “Truth and Consequences Revisited”

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