Grade 9 Foundations & PreCalculus 10 WorkPlace & Apprenticeship 10 Modified Math 11 Modified Math 21 N9.1Demonstrate (concretely, pictorially, and symbolically) understanding of powers with integral bases (excluding base 0) and whole number exponents including: ◦representing using powers ◦evaluating powers ◦powers with an exponent of zero ◦solving situational questions. N9.3Extend understanding of square roots to include the square root of positive rational numbers. FP10.1 Demonstrate understanding of factors of whole numbers by determining the: • prime factors • greatest common factor • least common multiple • principal square root • cube root. N9.2Demonstrate understanding of rational numbers including: ◦comparing and ordering ◦relating to other types of numbers ◦solving situational questions. FP10.2 Demonstrate understanding of irrational numbers in both radical (including mixed radical) and exponent forms through: • representing • identifying • simplifying • ordering • relating to rational numbers • applying exponent laws. M11.1 Extend understanding of arithmetic operations to rational numbers to solve problems within the home, money, recreation, and travel themes. M11.7 Demonstrate understanding of the mathematics involved in planning and justifying a travel route considering time, direction, location, and distance. M21.7 Demonstrate understanding of the mathematics involved in an area of interest. Number Grade 9 Foundations & PreCalculus 10 WorkPlace & Apprenticeship 10 Modified Math 11 Modified Math 21 WA10.10 Apply proportional reasoning to solve problems involving unit pricing and currency exchange. M11.8 Demonstrate understanding of proportional reasoning within the home, money, recreation, and travel themes. M21.4 Demonstrate and extend understanding of similarity and proportional reasoning related to scale factors, scale drawing, scale models, surface area, and volume. 5
P9.2Model and solve situational questions using linear equations of the form: ◦ax = b ◦x/a = b, a ≠ 0 ◦ax + b = c ◦x/a + b = c, a ≠ 0 ◦ax = b + cx ◦a(x + b) = c ◦ax + b = cx + d ◦a(bx + c) = d(ex + f) ◦a/x = b, x ≠ 0 where a, b, c, d, e, and f are rational numbers. FP10.10 Solve problems that involve systems of linear equations in two variables, graphically and algebraically. P9.3Demonstrate understanding of single variable linear inequalities with rational coefficients including: ◦solving inequalities ◦verifying ◦comparing ◦graphing. P9.4Demonstrate understanding of polynomials (limited to polynomials of degree less than or equal to 2) including: ◦modeling ◦generalizing strategies for addition, subtraction, multiplication, and division ◦analyzing ◦relating to context ◦comparing for equivalency. FP10. Demonstrate understanding of the multiplication and factoring of polynomial expressions (concretely, pictorially, and symbolically) including: • multiplying of monomials, binomials, and trinomials • common factors • trinomial factoring • relating multiplication and factoring of polynomials. Grade 9 Foundations & PreCalculus 10 WorkPlace & Apprenticeship 10 Modified Math 11 Modified Math 21 Shape and Space WA10.2 Analyze puzzles and games that involve spatial reasoning using problem solving strategies. M11.2 Demonstrate understanding of reasoning by analyzing puzzles and games. M21.2 Demonstrate understanding of numerical reasoning and problem solving strategies by analyzing puzzles and games.
FP10.3 Demonstrate understanding of SI and imperial units of measurement including: • linear measurement • surface area of spheres, and right cones, cylinders, prisms, and pyramids • volume of spheres, and right cones, cylinders, prisms, and pyramids • relationships between and within measurement systems. WA10.3 Demonstrate using concrete, and pictorial models, and symbolic representations, understanding of measurement systems including: • The Système International (SI) • The British Imperial system • The US customary system. WA10.4 Demonstrate, using concrete and pictorial models, and symbolic representations, understanding of linear measurement, including units in the SI and Imperial systems of measurement. M11.4 Demonstrate understanding of measurement in the Système International (metric) and Imperial System within the home and travel themes. SS9.1Demonstrate understanding of circle properties including: ◦perpendicular line segments from the centre of a circle to a chord bisect the chord ◦inscribed angles subtended by the same arc have the same measure ◦the measure of a central angle is twice the measure of an inscribed angle subtending the same arc ◦tangents to a circle are perpendicular to the radius ending at the point of tangency. WA10.9 Demonstrate understanding of angles including: • drawing and sketching • replicating and constructing • bisecting • relating to parallel, perpendicular, and transversal lines • solving problems. M11.5 Demonstrate understanding of angles to solve problems within the home theme. M21.5 Demonstrate understanding of angles created by parallel, perpendicular, and transversal lines and solve problems within the home theme. and Grade 9 Foundations & PreCalculus 10 WorkPlace & Apprenticeship 10 Modified Math 11 Modified Math 21