1. UEQ: How are linear equations used to solve problems?
Key Learning: Linear equations, systems of equations, linear functions, and their understanding of slope of a line can be used to analyze situations and solve problems and the connection between linearity and proportionality (as a special case of linearity) is based on an understanding of slope as the constant rate of change and the y-intercept.
UEQ: How are linear equations used to solve problems?
Concept: Equations
How are equations in one variable solved, (including squares and cubes)?
M08.B-E.3.1.2, M08.B-E.3.1.1
Concept: Problem-Solving
How are problem situations in one variable translated into equations and solved?
M08.B-E.3.1.1; M08.B-E.3.1.2
Concept:Proportional Relationships
How are proportional relationships graphed and interpreted as slopes and y-intercepts?
M08.B-E.2.1.1; M08.B-E.2.1.2; M08.B-E.2.1.3
Concept: Systems of Equations
How are systems of equations translated and solved both graphically and algebraically?
M08.B-E.3.1.4, M08.B-E.3.1.5
Vocabulary:
Equation
Solution
Inverse Operations
Distributive Property
Square root, Cube root, Perfect squares, Perfect cubes, infinite solutions, no solution
Vocabulary:
Linear
Coordinate
Similar
Congruent
Slope
y-Intercept
Vocabulary:
Systems of Equations Coincident Lines
Elimination
Substitution
Vocabulary:
Unit Assignments: Pre-test, Homework packets, MAP lessons, Systems of Equations Video Project, Unit Test