Number, Relations and Functions 10

Unit 1: Algebra and Number

Factors of whole numbers, irrational numbers, powers with integral and rational exponents, and the multiplication and factoring of polynomial expressions.

• Prime factors, GCF and LCM
• Square roots and cube roots

• Identifying and simplifying irrational numbers
• Ordering irrational numbers

• Powers with integral exponents
• Powers with rational exponents

• Multiplying a monomial by a polynomial
• Multiplying binomials and trinomials

• Factoring out common factors
• Factoring trinomials

Unit 2: Relations and Functions

Interpreting relationships among data, graphs and situations; relations and functions; slope; linear relations and their equations; distance and midpoint; function notation; and systems of linear equations.

• Interpreting graphs and data
• Matching graphs to situations

• Distinguishing relations and functions
• Domain and range of a relation

• Slope as rise over run and rate of change
• Slopes of parallel and perpendicular lines

• Representing linear relations many ways

• Intercepts, slope, domain and range of a line

• Slope-intercept and general form
• Slope-point form

• Equation from a graph
• Equation from a point and slope, or two points
• Equation from a parallel or perpendicular line
• Equation from a scatter plot

• Distance and midpoint of a segment

• Using function notation

• Solving systems graphically
• Solving systems algebraically