Canada · Ontario Curriculum Expectations
Grade 6 Mathematics
This course bridges elementary arithmetic and secondary algebraic reasoning. Students explore proportional relationships, the system of rational numbers, and the use of variables to represent unknown quantities in real world scenarios.
The Number System and Rational Quantities
Students extend their understanding of the number line to include integers and develop fluency with fraction and decimal operations.
Exploring positive and negative numbers in real world contexts and mapping them onto a four quadrant grid.
Moving beyond rote algorithms to understand what it means to divide a quantity by a part of a whole.
Applying multi-digit decimal operations to solve financial and measurement problems.
Ratios and Proportional Reasoning
Developing the ability to compare quantities and understand multiplicative relationships between values.
Introducing ratio language to describe relationships between two quantities and calculating unit rates.
Connecting fractions and decimals to the concept of percent as a rate per one hundred.
Using tables and graphs to represent and solve problems involving equivalent ratios.
Algebraic Thinking and Expressions
Transitioning from arithmetic to algebra by using variables to represent numbers and writing expressions.
Learning to translate verbal descriptions into mathematical expressions using letters as placeholders.
Applying the distributive, associative, and commutative properties to simplify algebraic expressions.
Using inverse operations to isolate a variable and solve simple equations.
Geometry and Spatial Reasoning
Investigating the properties of two dimensional shapes and three dimensional objects through area, surface area, and volume.
Finding the area of triangles and quadrilaterals by decomposing them into simpler shapes.
Using two dimensional nets to calculate the surface area of prisms and pyramids.
Applying formulas to find the volume of right rectangular prisms with fractional edge lengths.
Data, Statistics, and Variability
Learning to collect, organize, and interpret data sets to understand variability and central tendency.
Identifying questions that anticipate variability and understanding the distribution of data.
Calculating and interpreting mean, median, mode, and range to describe data sets.
Creating and analyzing histograms, dot plots, and box plots to represent numerical data.
Financial Literacy and Real World Modeling
Applying mathematical concepts to personal finance and complex multi step problems in everyday life.
Using rates and decimal operations to create budgets and find the best value for purchases.
A basic introduction to how money grows over time and the costs associated with borrowing.
Integrating skills from all previous units to solve a large scale community or engineering challenge.