MATHEMATICS HIGH SCHOOL STANDARDS FOR MATHEMATICAL CONTENT:
By Conceptual Category Conceptual Category:
Number and Quantity [N] The Real Number System N-RN
A. Extend the properties of exponents to rational exponents. https://www.youtube.com/watch?v=lZfXc4nHooo&feature=youtu.be
Creating Equations A-CED
A. Create equations that describe numbers or relationships. 1. Create equations and inequalities in one variable and use them to solve problems. (Include equations arising from linear and quadratic functions, and simple root and rational functions and exponential functions.)★
2. Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.★ https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:forms-of-linear-equations/x2f8bb11595b61c86:writing-slope-intercept-equations/v/construct-linear-equation-context
Reasoning with Equations and Inequalities A-REI
C. Solve systems of equations.
D. Represent and solve equations and inequalities graphically.
10. Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line). Show that any point on the graph of an equation in two variables is a solution to the equation.
LINEAR, QUADRATIC, AND EXPONENTIAL MODELS F-LE
A. Construct and compare linear, quadratic, and exponential models and solve problems.
1. Distinguish between situations that can be modeled with linear functions and with exponential functions.★
a. Prove that linear functions grow by equal differences over equal intervals, and that exponential
functions grow by equal factors over equal intervals.★
b. Recognize situations in which one quantity changes at a constant rate per unit interval relative to another.★