Introduction to Applied and Pre-Calculus Mathematics, Grade 10 (20S)

Unit 1: Measurement

Linear measurement in SI and imperial units, unit conversion, surface area and volume of 3-D objects, and right-triangle trigonometry.

• Referents and estimating linear measure
• Measuring with instruments
• Converting within and between SI and imperial

• Surface area and volume of solids
• Composite solids and unknown dimensions
• Primary trig ratios in right triangles

Unit 2: Algebra and Number

Factors of whole numbers, irrational numbers, powers with rational exponents, and multiplying and factoring polynomials.

• Prime factors, GCF, and LCM
• Square roots and cube roots
• Understanding irrational numbers
• Ordering irrational numbers

• Powers with rational exponents
• Multiplying polynomials
• Common factors and trinomial factoring
• Difference of squares

Unit 3: Relations and Functions

Graphs and contexts, relations and functions, slope, linear relations across representations and forms, systems of linear equations, and distance and midpoint.

• Data, graphs, and contexts
• Relations and functions
• Slope as rise, run, and rate of change
• Parallel and perpendicular slopes

• Linear relations in words and ordered pairs
• Linear relations in tables and graphs
• Linear relations as equations
• Characteristics of linear graphs

• Forms of a linear equation
• Equation of a line from a graph or point-slope
• Equation of a line from two points or a scatterplot
• Function notation
• Solving systems graphically
• Solving systems algebraically
• Distance and midpoint