Foundations of Mathematics and Pre-Calculus 10

Unit 1: Algebra and Number

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

• Prime factors of whole numbers
• Greatest common factor and least common multiple
• Square roots and cube roots

• Representing and simplifying irrational numbers
• Ordering irrational numbers

• Powers with integral and rational exponents

• Multiplying polynomial expressions
• Common factors and trinomial factoring

Unit 2: Measurement

Comparing and converting SI and Imperial units, surface area and volume of 3-D objects, and the primary trigonometric ratios in right triangles.

• Estimating in SI and Imperial units
• Measuring in SI and Imperial units

• Converting units with proportional reasoning

• Surface area and volume of prisms and cylinders
• Surface area and volume of cones and pyramids
• Surface area and volume of spheres

• Sine, cosine and tangent in right triangles

Unit 3: Relations and Functions

Interpreting graphs and situations, relations and functions, slope, and representing, graphing, and solving linear relations and systems.

• Interpreting graphs and situations

• Distinguishing relations and functions

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

• Linear relations from words, ordered pairs and tables
• Linear relations as graphs
• Linear relations as equations

• Intercepts, slope, domain and range of a line

• Slope-intercept form and its graph
• General form and its graph
• Slope-point form and its graph

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

• Representing a linear function with function notation

• Solving systems of linear equations