OntarioON Grade 5 Math Curriculum
Video lessons and practice for every Grade 5 math topic. Aligned to what Ontario schools teach. Help your child keep up or get ahead.
ON Grade 5 Math Curriculum | StudyPugHelp
OE_ID | Expectations | StudyPug Topic |
|---|---|---|
ON.OE.5.B.1.1 | B1.1 Whole Numbers: read, represent, compose, and decompose whole numbers up to and including 100 000, using appropriate tools and strategies, and describe various ways they are used in everyday life |
ON.OE.5.B.1.3 | B1.3 Whole Numbers: round whole numbers to the nearest ten, hundred, or thousand, in various contexts |
ON.OE.5.B.1.4 | B1.4 Fractions, Decimals, and Percents: represent equivalent fractions from halves to twelfths, including improper fractions and mixed numbers, using appropriate tools, in various contexts |
ON.OE.5.B.1.5 | B1.5 Fractions, Decimals, and Percents: compare and order fractions from halves to twelfths, including improper fractions and mixed numbers, in various contexts |
ON.OE.5.B.1.6 | B1.6 Fractions, Decimals, and Percents: read, represent, compare, and order decimal numbers up to hundredths, in various contexts |
ON.OE.5.B.1.8 | B1.8 Fractions, Decimals, and Percents: describe relationships and show equivalences among fractions and decimal numbers up to hundredths, using appropriate tools and drawings, in various contexts |
ON.OE.5.B.2.1 | B2.1 Properties and Relationships: use the properties of operations, and the relationships between operations, to solve problems involving whole numbers and decimal numbers, including those requiring more than one operation |
ON.OE.5.B.2.3 | B2.3 Mental Math: use mental math strategies to multiply whole numbers by 0.1 and 0.01 and estimate sums and differences of decimal numbers up to hundredths, and explain the strategies used |
ON.OE.5.B.2.4 | B2.4 Addition and Subtraction: represent and solve problems involving the addition and subtraction of whole numbers that add up to no more than 100 000 and of decimal numbers up to hundredths, using appropriate tools, strategies, and algorithms |
ON.OE.5.B.2.5 | B2.5 Addition and Subtraction: add and subtract fractions with like denominators, including by creating equivalent fractions, in various contexts |
ON.OE.5.B.2.6 | B2.6 Multiplication and Division: represent and solve problems involving the multiplication of two-digit whole numbers by two-digit whole numbers using the area model and using algorithms, and make connections between the two methods |
ON.OE.5.B.2.7 | B2.7 Multiplication and Division: represent and solve problems involving the division of three-digit whole numbers by two-digit whole numbers using the area model and using algorithms, and make connections between the two methods, while expressing any remainder appropriately |
ON.OE.5.B.2.8 | B2.8 Multiplication and Division: multiply whole numbers by proper fractions, using appropriate tools and strategies |
ON.OE.5.B.2.9 | B2.9 Multiplication and Division: divide whole numbers by proper fractions, using appropriate tools and strategies |
ON.OE.5.B.2.10 | B2.10 Multiplication and Division: represent and solve problems involving the division of decimal numbers up to hundredths by whole numbers up to 10, using appropriate tools and strategies |
ON.OE.5.B.2.11 | B2.11 Multiplication and Division: represent and solve problems involving the multiplication of decimal tenths by whole numbers, using appropriate tools and strategies |
ON.OE.5.C.1.1 | C1.1 Patterns: identify and describe repeating, growing, and shrinking patterns, including patterns found in real-life contexts |
ON.OE.5.C.1.2 | C1.2 Patterns: create and translate growing and shrinking patterns using various representations, including tables of values and graphs |
ON.OE.5.C.1.3 | C1.3 Patterns: determine pattern rules and use them to extend patterns, make and justify predictions, and identify missing elements in growing and shrinking patterns |
ON.OE.5.C.2.1 | C2.1 Variables and Expressions: translate among words, algebraic expressions, and visual representations that describe equivalent relationships |
ON.OE.5.C.2.2 | C2.2 Variables and Expressions: evaluate algebraic expressions that involve whole numbers and decimal tenths |
ON.OE.5.C.2.3 | C2.3 Equalities and Inequalities: solve equations that involve multiple terms and whole numbers in various contexts, and verify solutions |
ON.OE.5.D.1.3 | D1.3 Data Visualization: select from among a variety of graphs, including stacked-bar graphs, the type of graph best suited to represent various sets of data; display the data in the graphs with proper sources, titles, and labels, and appropriate scales; and justify their choice of graphs |
ON.OE.5.D.1.5 | D1.5 Data Analysis: determine the mean and the median and identify the mode(s), if any, for various data sets involving whole numbers and decimal numbers, and explain what each of these measures indicates about the data |
ON.OE.5.E.1.1 | E1.1 Geometric Reasoning: identify geometric properties of triangles, and construct different types of triangles when given side or angle measurements |
ON.OE.5.E.1.2 | E1.2 Geometric Reasoning: identify and construct congruent triangles, rectangles, and parallelograms |
ON.OE.5.E.1.3 | E1.3 Geometric Reasoning: draw top, front, and side views of objects, and match drawings with objects |
ON.OE.5.E.1.4 | E1.4 Location and Movement: plot and read coordinates in the first quadrant of a Cartesian plane using various scales, and describe the translations that move a point from one coordinate to another |
ON.OE.5.E.1.5 | E1.5 Location and Movement: describe and perform translations, reflections, and rotations up to 180° on a grid, and predict the results of these transformations |
ON.OE.5.E.2.1 | E2.1 The Metric System: use appropriate metric units to estimate and measure length, area, mass, and capacity |
ON.OE.5.E.2.2 | E2.2 The Metric System: solve problems that involve converting larger metric units into smaller ones, and describe the base ten relationships among metric units |
ON.OE.5.E.2.5 | E2.5 Area: use the area relationships among rectangles, parallelograms, and triangles to develop the formulas for the area of a parallelogram and the area of a triangle, and solve related problems |
ON.OE.5.E.2.6 | E2.6 Area: show that two-dimensional shapes with the same area can have different perimeters, and solve related problems |
ON.OE.5.F.1.2 | F1.2 Financial Management: calculate unit rates for various goods and services, and identify which rates offer the best value |
Ontario Grade 5 Math: Topics and Skills
Grade 5 math in Ontario covers a wide range of number, algebra, geometry, data, and financial literacy topics. Students work with whole numbers up to 100 000, explore fractions from halves to twelfths including improper fractions and mixed numbers, and extend their understanding of decimals to hundredths. These foundational skills prepare students for the more advanced math they will encounter in Grade 6.
Number Sense and Operations
Ontario Grade 5 students learn to read, represent, compare, and order whole numbers and decimal numbers. They round whole numbers to the nearest ten, hundred, or thousand, and round decimals to the nearest tenth. Students add and subtract whole numbers up to 100 000 and decimal numbers to hundredths. They also multiply two-digit whole numbers by two-digit whole numbers and divide three-digit whole numbers by two-digit whole numbers, using both the area model and standard algorithms.
- Fractions from halves to twelfths, including improper fractions and mixed numbers
- Decimal numbers read, represented, compared, and ordered to hundredths
- Addition and subtraction of fractions with like denominators
- Multiplication and division of decimals by whole numbers
- Commonly used percent, fraction, and decimal equivalents
Patterning and Algebra
Students identify repeating, growing, and shrinking patterns and use tables of values and graphs to represent them. They translate among words, algebraic expressions, and visual representations. Grade 5 algebra also includes evaluating expressions, solving equations with multiple terms, and solving and graphing inequalities involving two operations.
Data Literacy and Probability
Ontario Grade 5 students collect and organize data using relative-frequency tables, select appropriate graphs including stacked-bar graphs, and create infographics. They calculate the mean, median, and mode for data sets and analyse misleading graphs. Probability is expressed using fractions, represented on a probability line, and explored through both theoretical and experimental activities.
Geometry and Spatial Sense
Students identify properties of triangles and construct different types when given side or angle measurements. They identify and construct congruent shapes, draw top, front, and side views of objects, and plot coordinates in the first quadrant of a Cartesian plane. Transformations including translations, reflections, and rotations up to 180° are described and performed on a grid.
Measurement
Grade 5 measurement topics include estimating and measuring length, area, mass, and capacity using metric units, converting larger metric units to smaller ones, measuring and constructing angles up to 180° using protractors, and developing area formulas for parallelograms and triangles.
Financial Literacy
Ontario Grade 5 financial literacy covers methods of payment, calculating unit rates to find best value, designing basic budgets, understanding credit and debt, and describing the types of taxes collected by different levels of government in Canada.