Understand the Connections Between Proportional Relationships, Lines, and Linear Equations

Standard 8.EE.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.

Vocabulary for this standard: triangle, similar, slope, non-vertical, point, coordinate plane, origin, vertical axis
EngageNY lesson link – This appears in the fourth module of the EngageNY curriculum.
Quick thoughts:
A base is a number or expression being multiplied in an exponent
An exponent is a number that describes how many times to use the number in a multiplication.
A coefficient is a number used to multiply a variable.
A negative exponent expresses that the base is the denominator of a fraction instead of the numerator
The multiplicative property of exponents says that when you multiply powers with the same base you just have to add the exponents
The division property of exponents says that when you divide powers with the same base you just have to subtract the exponents
The power of a power property says that when you raise an exponent to another power, you just have to multiply the exponents
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Khan Academy lessons/exercises (no material as of 7/30/2018)