Mathematics 10 Curriculum Comparison Transition Document This document connects the outcomes in Mathematics 10 with the outcomes and grade levels in the CAMET (formerly APEF) curriculum and will help with transitioning to the WNCP mathematics curriculum. Process Standards Key [C] Communication [PS] Problem Solving [CN] Connections [R] Reasoning [ME] Mental Mathematics and Estimation [T] Technology [V] Visualization Mathematics 10 CAMET SCOs Key Messages SCOs Mathematics 7–10 Measurement (50–55 hours) GCO: Students will be expected to develop spatial sense and proportional reasoning. M01 Students will be expected to solve problems Mathematics 7 • Do not rush through this unit. It will require time for that involve linear measurement, using SI D1 proper development. and imperial units of measure, estimation Mathematics 8 strategies, and measurement strategies. D2 • Imperial units of measure are new to Mathematics 10. [ME, PS, V] Mathematics 9 D2 • The SI expectations of M01 and M02 were previously addressed in junior high. Mathematics 10 D7 • Work on referents, estimation, and personal strategies are M02 Students will be expected to apply Mathematics 7 expected as part of the conceptual development in proportional reasoning to problems that B2 Mathematics 10. involve conversions between SI and imperial Mathematics 8 units of measure. B2, D1 [C, ME, PS] Mathematics 9 D2 Mathematics 10 No corresponding outcomes. M03 Students will be expected to solve problems, Mathematics 8 using SI and imperial units that involve the D7, D8 surface area and volume of 3-D objects Mathematics 9 including right cones, right cylinders, right D3, D4 prisms, right pyramids, and spheres. Mathematics 10 [CN, PS, R, V] C15, C24, D1, D10, D13, E1, E2 1 Mathematics 10 Curriculum Comparison Transition Document This document connects the outcomes in Mathematics 10 with the outcomes and grade levels in the CAMET (formerly APEF) curriculum and will help with transitioning to the WNCP mathematics curriculum. Process Standards Key [C] Communication [PS] Problem Solving [CN] Connections [R] Reasoning [ME] Mental Mathematics and Estimation [T] Technology Mathematics 10 CAMET SCOs Key Messages SCOs Mathematics 7–10 M04 Students will be expected to develop and Mathematics 8 apply the primary trigonometric ratios (sine, D9, D10, E3 cosine, tangent) to solve problems that Mathematics 9 involve right triangles. D5 [C, CN, PS, R, T, V] Mathematics 10 C15, D2, D3, D4, D5, D8, D12, D14 2 [V] Visualization Mathematics 10 Curriculum Comparison Transition Document This document connects the outcomes in Mathematics 10 with the outcomes and grade levels in the CAMET (formerly APEF) curriculum and will help with transitioning to the WNCP mathematics curriculum. Process Standards Key [C] Communication [PS] Problem Solving [CN] Connections [R] Reasoning [ME] Mental Mathematics and Estimation [T] Technology [V] Visualization Mathematics 10 CAMET SCOs Key Messages SCOs Mathematics 7–10 Algebra and Number (50–55 hours) GCO: Students will be expected to develop algebraic reasoning and number sense. AN01 Students will be expected to demonstrate Mathematics 7 • The use of models, such as number lines, and concrete an understanding of factors of whole A4, A5 materials, such as alge-tiles, is an expectation in numbers by determining the prime factors, Mathematics 8 Mathematics 10. greatest common factor, least common A1, A2 multiple, square root, and cube root. Mathematics 9 • Outcome AN01 is new to Mathematics 10 and was [CN, ME, R] A1, B6 previously addressed in junior high. Mathematics 10 • Introduction to irrational numbers is new to Mathematics C15 10. AN02 Students will be expected to demonstrate Mathematics 8 an understanding of irrational numbers by A3 • All developmental work on multiplication and factoring of representing, identifying, simplifying, and Mathematics 9 binomials now begins in Mathematics 10. It is expected ordering irrational numbers. A3, A4, A5 that models and manipulatives will be used as part of [CN, ME, R, V] Mathematics 10 conceptual development. A3, A4, A8 AN03 Students will be expected to demonstrate Mathematics 9 an understanding of powers with integral B4, B6 and rational exponents. Mathematics 10 [C, CN, PS, R] C27 AN04 Students will be expected to demonstrate Mathematics 8 an understanding of the multiplication of B16 polynomial expressions (limited to Mathematics 9 monomials, binomials, and trinomials), B10, B11, B13, B14 concretely, pictorially, and symbolically. Mathematics 10 [CN, R, V] B3, C35 3 Mathematics 10 Curriculum Comparison Transition Document This document connects the outcomes in Mathematics 10 with the outcomes and grade levels in the CAMET (formerly APEF) curriculum and will help with transitioning to the WNCP mathematics curriculum. Process Standards Key [C] Communication [PS] Problem Solving [CN] Connections [R] Reasoning [ME] Mental Mathematics and Estimation [T] Technology Mathematics 10 CAMET SCOs Key Messages SCOs Mathematics 7–10 AN05 Students will be expected to demonstrate Mathematics 9 an understanding of common factors and B9, B10 trinomial factoring, concretely, pictorially, Mathematics 10 and symbolically. A6, C35 [C, CN, R, V] 4 [V] Visualization Mathematics 10 Curriculum Comparison Transition Document This document connects the outcomes in Mathematics 10 with the outcomes and grade levels in the CAMET (formerly APEF) curriculum and will help with transitioning to the WNCP mathematics curriculum. Process Standards Key [C] Communication [PS] Problem Solving [CN] Connections [R] Reasoning [ME] Mental Mathematics and Estimation [T] Technology [V] Visualization Mathematics 10 CAMET SCOs Key Messages SCOs Mathematics 7–10 Relations and Functions (70–75hours) GCO: Students will be expected to develop algebraic and graphical reasoning through the study of relations. RF01 Students will be expected to interpret and Mathematics 9 • Slope now begins in Mathematics 10. It was previously explain the relationships among data, F1, F4 addressed in junior high. graphs, and situations. Mathematics 10 [C, CN, R, T, V] • Some of the linear relation work previously addressed in A2, A7, C3, C4, C5, C10, E8, F3, F11 junior high is now in Mathematics 10. RF02 Students will be expected to demonstrate an Mathematics 7–9 understanding of relations and functions. No corresponding outcomes. • Some of the linear relation work previously addressed in [C, R, V] Mathematics 10 Mathematics 11, is now in Mathematics 10. Specifically, C9, C21 forms of a linear relation and systems of relations using RF03 Students will be expected to demonstrate an Mathematics 7 elimination. understanding of slope with respect to rise C9, D4 and run, line segments and lines, rate of Mathematics 8 change, parallel lines, and perpendicular C3, C4 lines. Mathematics 9 [PS, R, V] C3 Mathematics 10 C15, C28, C29, E8 RF04 Students will be expected to describe and Mathematics 7 represent linear relations, using words, C6 ordered pairs, tables of values, graphs, and Mathematics 8 equations. C1, C2 [C, CN, R, V] Mathematics 9 C2, C5 Mathematics 10 C2, C3, C4, C5, C8, C9, C10, C32 5 Mathematics 10 Curriculum Comparison Transition Document This document connects the outcomes in Mathematics 10 with the outcomes and grade levels in the CAMET (formerly APEF) curriculum and will help with transitioning to the WNCP mathematics curriculum. Process Standards Key [C] Communication [PS] Problem Solving [CN] Connections [R] Reasoning [ME] Mental Mathematics and Estimation [T] Technology Mathematics 10 CAMET SCOs Key Messages SCOs Mathematics 7–10 RF05 Students will be expected to determine the Mathematics 8 characteristics of the graphs of linear C2, C3, C4 relations, including the intercepts, slope, Mathematics 9 domain, and range. C2, C3 [CN, PS, R, V] Mathematics 10 A2, C3, C13, C15 RF06 Students will be expected to relate linear Mathematics 7–9 relations to their graphs, expressed in No corresponding outcomes. slope-intercept form (y = mx + b) Mathematics 10 general form (Ax + By + C = 0) C14, C33 slope-point form (y – y1) = m(x – x1) [CN, R, T, V] RF07 Students will be expected to determine the Mathematics 9 equation of a linear relation to solve C4, C8 problems, given a graph, a point and the Mathematics 10 slope, two points, and a point and the B1, C13, C14, C15, C24 equation of a parallel or perpendicular line. [CN, PS, R, V] RF08 Students will be expected to solve problems Mathematics 9 that involve the distance between two D9, D10 points and the midpoint of a line segment. Mathematics 10 [C, CN, PS,T, V] No corresponding outcomes. RF09 Students will be expected to represent a Mathematics 7–9 linear function, using function notation. No corresponding outcomes. [CN, ME, V] Mathematics 10 C3, C21 6 [V] Visualization Mathematics 10 Curriculum Comparison Transition Document This document connects the outcomes in Mathematics 10 with the outcomes and grade levels in the CAMET (formerly APEF) curriculum and will help with transitioning to the WNCP mathematics curriculum. Process Standards Key [C] Communication [PS] Problem Solving [CN] Connections [R] Reasoning [ME] Mental Mathematics and Estimation [T] Technology Mathematics 10 CAMET SCOs Key Messages SCOs Mathematics 7–10 RF10 Students will be expected to solve problems Mathematics 8 that involve systems of linear equations in C5 two variables, graphically and algebraically. Mathematics 10 [CN, PS, R, T, V] C16, C17, C18, C19 7 [V] Visualization Mathematics 10 Curriculum Comparison Transition Document This document connects the outcomes in Mathematics 10 with the outcomes and grade levels in the CAMET (formerly APEF) curriculum and will help with transitioning to the WNCP mathematics curriculum. Process Standards Key [C] Communication [PS] Problem Solving [CN] Connections [R] Reasoning [ME] Mental Mathematics and Estimation [T] Technology Mathematics 10 CAMET SCOs Key Messages SCOs Mathematics 7–10 Financial Mathematics (40–45 hours) GCO: Students will be expected to demonstrate number sense and critical thinking skills. FM01 Students will be expected to solve Mathematics 7 problems that involve unit pricing and D3 currency exchange, using proportional Mathematics 8 reasoning. A9, B2, B4 [CN, ME, PS, R] Mathematics 10 No corresponding outcomes. FM02 Students will be expected to demonstrate Mathematics 7 an understanding of income to calculate A10, B2, B3, B4, B5, B7, B9, B10 gross pay and net pay, including wages, Mathematics 8 salary, contracts, commissions, and B3 piecework. Mathematics 10 [C, CN, R, T] No corresponding outcomes. FM03 Students will be expected to investigate No corresponding outcomes. personal budgets [C, PS, R, T] FM04 Students will be expected to explore and give a presentation on an area of interest that involves financial mathematics. [C, CN, ME, PS, R, T, V] No corresponding outcomes. 8 [V] Visualization Mathematics 10 Curriculum Comparison Transition Document This document connects the outcomes in Mathematics 10 with the outcomes and grade levels in the CAMET (formerly APEF) curriculum and will help with transitioning to the WNCP mathematics curriculum. Process Standards Key [C] Communication [PS] Problem Solving [CN] Connections [R] Reasoning [ME] Mental Mathematics and Estimation [T] Technology Mathematics 10 CAMET SCOs Key Messages SCOs Mathematics 7–10 Topics no longer addressed in the Mathematics 10 curriculum: Inequalities Non-linear Relationships Matrices Linear Programming Transformations Statistics Normal Curve Geometry 9 [V] Visualization