Distributive Property Explained (click the pic)
CCSS: 7.NS.1. Apply properties of operations as strategies to add, subtract, factor,
and expand linear expressions with rational coefficients. 7.NS.4. Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities. a. Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach.
8th: Students continue to build their understanding of slope. Students understand slope can be found from any two points on a line. Students can find slope in multiple ways from multiple representations. Students connect slope on a graph to rate of change in an equation.
Slope Practice: Manga High (Bonus Points: Gold-30pts, Silver-20pts, Bronze-10pts. Send a screenshot to Mr. A)
CCSS: 8.EE.5 Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways. 8.EE.B.6 Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane; derive the equation y=mx for a line through the origin and the equation y=mx+b for a line intercepting the vertical axis at b 8.F.A.2 Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).
