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Grade 5 Math Courses - Ontario Curriculum

Explore Ontario's Grade 5 math curriculum, covering number sense, fractions, geometry, and data management. Prepare for success with comprehensive learning pathways aligned to provincial standards.

Ontario Grade 5 Math Curriculum - StudyPug

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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
Place value
Comparing and ordering numbers
Representing numbers: Cardinals
Representing numbers: Tally marks
Representing numbers: Word names
Representing numbers: Roman numerals
Representing numbers: Ordinals
Whole number place values up to millions
Comparing and ordering numbers up to millions
Comparing and ordering large multi-digit integers
ON.OE.5.B.1.3
B1.3 Whole Numbers: round whole numbers to the nearest ten, hundred, or thousand, in various contexts
Rounding numbers
Estimating products
Estimating quotients
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
What are fractions?
Equivalent fractions
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
Comparing and Ordering Fractions
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
What are decimals?
Comparing and ordering decimals and fractions
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
Converting between decimals and fractions
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
Arithmetic properties: Commutative property
Arithmetic properties: Associative property
Arithmetic properties: Identity property
Arithmetic properties: Distributive property
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
Multiplying decimals by powers of 10
Dividing decimals by power of 10
Estimating sums
Estimating Differences
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
Adding and subtracting decimals
Adding multi-digit numbers
Sums and differences: Word problems
Word problems for decimals and integers
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
Adding fractions with like denominators
Subtracting fractions with like denominators
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
Multiplying multi-digit numbers
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
Dividing using area models
Dividing multi-digit numbers
ON.OE.5.B.2.8
B2.8 Multiplication and Division: multiply whole numbers by proper fractions, using appropriate tools and strategies
Multiplying fractions and whole numbers
Fraction of a number
ON.OE.5.B.2.9
B2.9 Multiplication and Division: divide whole numbers by proper fractions, using appropriate tools and strategies
Dividing fractions with whole numbers
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
Dividing decimals by integers
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
Multiplying decimals by integers
ON.OE.5.C.1.1
C1.1 Patterns: identify and describe repeating, growing, and shrinking patterns, including patterns found in real-life contexts
Patterns: Patterns with shapes
Patterns: Number patterns
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
Patterns: Describing patterns using tables and solving variables
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
Patterns: Applications of solving problems using patterns
ON.OE.5.C.2.1
C2.1 Variables and Expressions: translate among words, algebraic expressions, and visual representations that describe equivalent relationships
What are variables in algebra?
ON.OE.5.C.2.2
C2.2 Variables and Expressions: evaluate algebraic expressions that involve whole numbers and decimal tenths
Introduction to solving equations with Variables
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
Introduction to solving patterns in T-tables and equations
ON.OE.5.D.1.2
D1.2 Data Collection and Organization: collect data, using appropriate sampling techniques as needed, to answer questions of interest about a population, and organize the data in relative-frequency tables
Organizing data
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
Reading and drawing bar 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
Median and mode
Mean
Range and outliers
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
Classifying triangles
ON.OE.5.E.1.2
E1.2 Geometric Reasoning: identify and construct congruent triangles, rectangles, and parallelograms
Classifying quadrilaterals
ON.OE.5.E.1.3
E1.3 Geometric Reasoning: draw top, front, and side views of objects, and match drawings with objects
Drawing 3D shapes
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
Basics of coordinate plane
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
Reflections and rotations of shapes
ON.OE.5.E.2.1
E2.1 The Metric System: use appropriate metric units to estimate and measure length, area, mass, and capacity
Metric units: Length, volume, weight
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
Operations with 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
Area and perimeter of rectangles
Area and perimeter of triangles
Area and perimeter of parallelograms
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
Calculating and Estimating Area and Perimeter
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
Rates

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