Mathematics 9

Unit 1: Number

Big Idea: computational fluency develops from a strong sense of number and extends to operating with rational numbers and powers. All four operations with rational numbers, and the exponent laws with whole-number exponents.

• Adding and subtracting rational numbers
• Multiplying and dividing rational numbers
• Order of operations with rational numbers

• What a whole-number exponent means
• The product and quotient laws
• The power-of-a-power law

Unit 2: Polynomials

Big Idea: the principles and processes underlying operations with numbers apply equally to algebraic situations. Adding, subtracting, multiplying, and dividing polynomial expressions of degree 2 or less.

• Adding and subtracting polynomials
• Multiplying a polynomial by a monomial
• Dividing a polynomial by a monomial

Unit 3: Linear Relations

Big Idea: continuous linear relationships can be identified and represented in many connected ways to identify regularities and make generalizations. Graphing two-variable linear relations and using them to interpolate and extrapolate.

• From a table of values to a graph
• Interpolating between plotted points
• Extrapolating beyond plotted points

Unit 4: Linear Equations

Big Idea: continuous linear relationships can be identified and represented in many connected ways. Modelling and solving multi-step one-variable linear equations.

• Equations with the variable on both sides
• Equations with brackets
• Modelling a real situation with an equation

Unit 5: Spatial Proportional Reasoning

Big Idea: similar shapes have proportional relationships that can be described, measured, and compared. Scale diagrams, similar triangles, and proportional reasoning applied to space and shape.

• Scale factor in scale diagrams
• Similar triangles and proportional sides
• Solving real problems with proportional reasoning

Unit 6: Statistics in Society

Big Idea: analyzing the validity, reliability, and representation of data enables us to compare and interpret. How sampling, bias, and presentation choices shape the statistics we see in the world.

• Sampling methods and bias
• Interpreting statistics reported in the media

Unit 7: Financial Literacy

Big Idea: financial literacy involves an understanding of the role of money in everyday life. Building a simple budget and understanding simple transactions.

• Building a simple budget
• Simple transactions