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Mathematical Content Standards

For this Capstone project, the following standards were addressed:

Common Core State Standards
21 Century Skills
TPACK
Standards for Student Mathematical Practice
G-CO
​Geometry Congruence - Prove geometric theorems.
9. Prove theorems about lines and angles. Theorems include: vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angles are congruent and corresponding angles are congruent; points on a perpendicular bisector of a line segment are exactly those equidistant from the segment’s endpoints.
G-CO
​Geometry Congruence - Prove geometric theorems.
10. Prove theorems about triangles. Theorems include: measures of interior angles of a triangle sum to 180°; base angles of isosceles triangles are congruent; the segment joining midpoints of two sides of a triangle is parallel to the third side and half the length; the medians of a triangle meet at a point. ​
F-IF
Functions - Interpreting Functions
4. For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity.
F-IF
Functions - Analyze functions using different representations.
7. Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.

       a. Graph linear and quadratic functions and show intercepts, maxima, and minima.
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       b. Graph square root, cube root, and piecewise-defined functions, including step functions and                       absolute value functions.
F-IF
Functions - Analyze functions using different representations.
9. Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).
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Common Core
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21st Century Skills
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TPACK