Foundations of Mathematics and Pre-calculus 10

Unit 1: Numbers and Radicals

Factors of whole numbers, roots, and irrational numbers in radical and exponent form, including simplifying, ordering, and applying exponent laws.

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

• Representing and identifying irrational numbers
• Simplifying radicals and mixed radicals
• Ordering radicals and relating to rationals
• Applying exponent laws

Unit 2: Measurement and Trigonometry

SI and imperial measurement of length, surface area, and volume, and the primary trigonometric ratios applied to right triangles.

• Linear measurement in SI and imperial
• Surface area of 3-D objects
• Volume of 3-D objects

• Setting up the primary trig ratios
• Solving right triangles

Unit 3: Algebra and Polynomials

Multiplying and factoring polynomial expressions, including common factors and trinomial factoring.

• Multiplying polynomials
• Common factoring
• Factoring trinomials

Unit 4: Relations and Functions

Relations and functions, distinguishing functions from relations, and slope as rate of change and ratio of rise to run.

• Relating data, graphs, and situations
• Distinguishing relations from functions

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

Unit 5: Linear Functions and Systems

Representing linear relations in multiple forms, determining their characteristics, writing equations of lines, and solving systems of linear equations.

• Representing linear relations
• Slope, intercepts, domain, and range
• Equation forms and function notation

• Writing equations of lines
• Equations of parallel and perpendicular lines

• Solving systems graphically
• Solving systems algebraically