Measurement
10C M1 Solve problems that involve linear measurement, using:
- SI and imperial units of measure
- estimation strategies
- measurement strategies. [ME, PS, V]
10C M2 Apply proportional reasoning to problems that involve conversions between SI and imperial units of measure. [C, ME, PS]
10C M3 Solve problems, using SI and imperial units, that involve the surface area and volume of 3-D objects, including:
- right cones
- right cylinders
- right prisms
- right pyramids
- spheres. [CN, PS, R, V]
10C M4 Develop and apply the primary trigonometric ratios (sine, cosine, tangent) to solve problems that involve right triangles. [C, CN, PS, R, T, V]
Algebra and Number
10C AN1 Demonstrate an understanding of factors of whole numbers by determining the:
- prime factors
- greatest common factor
- least common multiple
- square root
- cube root. [CN, ME, R]
10C AN2 Demonstrate an understanding of irrational numbers by:
- representing, identifying and simplifying irrational numbers
- ordering irrational numbers. [CN, ME, R, V] [ICT: C6–2.3]
10C AN3 Demonstrate an understanding of powers with integral and rational exponents. [C, CN, PS, R]
10C AN4 Demonstrate an understanding of the multiplication of polynomial expressions (limited to monomials, binomials and trinomials), concretely, pictorially and symbolically. [CN, R, V]
10C AN5 Demonstrate an understanding of common factors and trinomial factoring, concretely, pictorially and symbolically. [C, CN, R, V]
Relations and Functions
10C RF1 Interpret and explain the relationships among data, graphs and situations. [C, CN, R, T, V] [ICT: C6–4.3, C7–4.2]
10C RF2 Demonstrate an understanding of relations and functions. [C, R, V]
10C RF3 Demonstrate an understanding of slope with respect to:
- rise and run
- line segments and lines
- rate of change
- parallel lines
- perpendicular lines. [PS, R, V]
10C RF4 Describe and represent linear relations, using:
- words
- ordered pairs
- tables of values
- graphs
- equations. [C, CN, R, V]
10C RF5 Determine the characteristics of the graphs of linear relations, including the:
- intercepts
- slope
- domain
- range. [CN, PS, R, V]
10C RF6 Relate linear relations expressed in:
- slope–intercept form (y = mx + b)
- general form (Ax + By + C = 0)
- slope–point form (y – y1 = m(x – x1))
to their graphs. [CN, R, T, V] [ICT: C6–4.3]
10C RF7 Determine the equation of a linear relation, given:
- a graph
- a point and the slope
- two points
- a point and the equation of a parallel or perpendicular line to solve problems. [CN, PS, R, V]
10C RF8 Represent a linear function, using function notation. [CN, ME, V]
10C RF9 Solve problems that involve systems of linear equations in two variables, graphically and algebraically. [CN, PS, R, T, V] [ICT: C6–4.1]