Use Patterns, Relations and Functions Use Algebraic Representations

D1. Represent and analyze patterns, rules and functions with words, tables, graphs and simple variable expressions.
Emily L
Andrew K

Julia F
Matt K
Taylor W

D2. Generalize patterns by describing in words how to find the next term.
Kory F
Andrew K
Alex D
[[Pythagorean Thereom!|]]
Emily W
Tiara B

D3. Recognize and explain when numerical patterns are linear or nonlinear progressions; e.g., 1, 3, 5, 7... is linear and 1, 3, 4, 8, 16... is nonlinear.
Susanna L.
Sally D.
Devin C.
Aubrey H
Erik H
Alyssa H
Brendan B
Vanessa C
Benjamin D
Danielle M
Anna Q
Matt N
Jacob S
Darby G
Olivia R
Erik H
Kimberly S
Julia F

Emily L
Marvin P
Cody R
Nicole I

D4. Create visual representations of equation-solving processes that model the use of inverse operations.
Candace M.

D5. Represent linear equations by plotting points in the coordinate plane.
Michael S.
Evan R.
Abram H.
Joy S

Matt B.
Blake M.
Jessica B
Evan L

D6. Justify that two forms of an algebraic expression are equivalent, and recognize when an expression is simplified;
e.g., 4m=m + m + m + m or a ยท 5 + 4= 5a + 4.
Kristen C
Kelley G

McKenzie P

D7. Use formulas in problem-solving situations.
Charles F.
Kristen B.
Michelle H.

Samantha G
Matt P

D8. Recognize a variety of uses for variables; e.g., placeholder for an unknown quantity in an equation, generalization for a pattern, formula.

Analyze Change

D9. Analyze linear and simple nonlinear relationships to explain how a change in one variable results in the change of another.

D10. Use graphing calculators or computers to analyze change; e.g., distance-time relationships.