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Math

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 Topics

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OE_ID
Expectations
StudyPug Topic
B1. Number Sense : demonstrate an understanding of numbers and make connections to the way numbers are used in everyday life
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

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OE.5.B.1.3
B1.3 Whole Numbers: round whole numbers to the nearest ten, hundred, or thousand, in various contexts

Rounding numbers

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Estimating products

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Estimating quotients

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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?

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Equivalent fractions

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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

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OE.5.B.1.6
B1.6 Fractions, Decimals, and Percents: read, represent, compare, and order decimal numbers up to hundredths, in various contexts
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
B2. Operations : use knowledge of numbers and operations to solve mathematical problems encountered in everyday life
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
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
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

Word problems for decimals and integers

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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
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
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
OE.5.B.2.8
B2.8 Multiplication and Division: multiply whole numbers by proper fractions, using appropriate tools and strategies
OE.5.B.2.9
B2.9 Multiplication and Division: divide whole numbers by proper fractions, using appropriate tools and strategies
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
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
C1. Patterns and Relationships : identify, describe, extend, create, and make predictions about a variety of patterns, including those found in real-life contexts
OE.5.C.1.1
C1.1 Patterns: identify and describe repeating, growing, and shrinking patterns, including patterns found in real-life contexts
OE.5.C.1.2
C1.2 Patterns: create and translate growing and shrinking patterns using various representations, including tables of values and graphs
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
C2. Equations and Inequalities : demonstrate an understanding of variables, expressions, equalities, and inequalities, and apply this understanding in various contexts
OE.5.C.2.1
C2.1 Variables and Expressions: translate among words, algebraic expressions, and visual representations that describe equivalent relationships
OE.5.C.2.2
C2.2 Variables and Expressions: evaluate algebraic expressions that involve whole numbers and decimal tenths
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
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

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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
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

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Mean

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Range and outliers

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E1. Geometric and Spatial Reasoning : describe and represent shape, location, and movement by applying geometric properties and spatial relationships in order to navigate the world around them
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

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OE.5.E.1.2
E1.2 Geometric Reasoning: identify and construct congruent triangles, rectangles, and parallelograms
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

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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
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
E2. Measurement : compare, estimate, and determine measurements in various contexts
OE.5.E.2.1
E2.1 The Metric System: use appropriate metric units to estimate and measure length, area, mass, and capacity
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
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
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
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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