Canada · Ontario Curriculum Expectations
Grade 8 Mathematics
This course bridges concrete arithmetic and abstract algebraic reasoning through the study of proportional relationships, geometric transformations, and data modeling. Students develop critical thinking skills by justifying mathematical conjectures and applying multiple representations to solve complex real world problems.
Number Systems and Radical Thinking
Students explore the expansion of the number system to include irrational numbers and develop fluency with powers and roots.
Distinguishing between rational and irrational numbers using decimal expansions and geometric models.
Applying laws of exponents to simplify expressions and using scientific notation to manage extreme magnitudes.
Evaluating square and cube roots to solve equations and understand geometric area and volume.
Proportionality and Linear Relationships
An investigation into how quantities change together and how to represent these relationships through tables, graphs, and equations.
Defining slope through similar triangles and interpreting it as a constant rate of change in various contexts.
Connecting unit rates to the equation y equals mx plus b and comparing different representations of functions.
Sketching and interpreting graphs that model the functional relationship between two quantities.
Solving Equations and Systems
Mastering the manipulation of algebraic expressions to solve multi step equations and systems of linear equations.
Using the distributive property and combining like terms to solve equations with variables on both sides.
Finding the intersection of two lines to determine the simultaneous solution for two linear equations.
Solving systems of equations using substitution and elimination methods to find exact values.
Geometry in Motion
Exploring congruence and similarity through physical and coordinate transformations of geometric figures.
Investigating translations, reflections, and rotations to prove that two figures are congruent.
Using scale factors and centers of dilation to create similar figures and understand proportional growth.
Using the properties of parallel lines and transversals to determine unknown angle measures.
The Power of Pythagoras
Applying the Pythagorean Theorem to solve real world problems and finding volumes of curved three dimensional shapes.
Exploring various geometric proofs of the theorem and its converse to understand right triangle relationships.
Using the Pythagorean theorem to find distances on the coordinate plane and lengths within 3D objects.
Developing and using formulas for the volume of curved solids to solve engineering and design problems.
Patterns in Data
Analyzing bivariate data through scatter plots and two way tables to identify trends and associations.
Constructing and interpreting scatter plots to look for patterns, clusters, and outliers in data sets.
Informally fitting a straight line to data and using the equation of that line to make predictions.
Using two way tables to summarize bivariate categorical data and calculating relative frequencies.