Ontario Grade 5 math curriculum
The Grade 5 math outcomes we teach, in the curriculum's own words, with the lessons and practice pages for each. Pick an outcome code for the full list of lessons and printables.
Ontario Mathematics, Grades 1–8. Every lesson comes with a printable teacher guide and student sheet.
Data
D1.3 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. (choosing and scaling graphs).
Lessons: Data Detectives (How fast are our reaction times?, Which graph tells the truth?, Do taller people have bigger hands?)
D1.5 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.
Lessons: Data Detectives (How fast are our reaction times?, Which graph tells the truth?, Do taller people have bigger hands?)
Practice: Data Detectives workbook · Mean, Median, Mode and Range · Grade 3 Ontario Math: Data · Grade 4 Ontario Math: Data · Grade 5 Ontario Math: Data
D1.6 Analyse different sets of data presented in various ways, including in stacked-bar graphs and in misleading graphs , by asking and answering questions about the data, challenging preconceived notions, and drawing conclusions, then make convincing arguments and informed decisions. (misleading graphs).
Lessons: Data Detectives (How fast are our reaction times?, Which graph tells the truth?, Do taller people have bigger hands?)
Spatial Sense
E2.6 Show that two-dimensional shapes with the same area can have different perimeters, and solve related problems (an adjacent-grade match).
Lessons: Fence It, Fill It: Area and Perimeter (Can the same rug need more edging?)
Practice: Fence It, Fill It: Area and Perimeter workbook · Grade 3 Ontario Math: Spatial Sense · Grade 5 Ontario Math: Spatial Sense
More outcomes
Outcome Data strand, Data Literacy: collect and organize data, find the mean, median and mode, and analyse data shown in different ways, including misleading graphs, to draw conclusions and make convincing arguments.
Lessons: Data Detectives (How fast are our reaction times?, Which graph tells the truth?)
B1.1 Read, represent, compose and decompose whole numbers up to and including 100,000, using tools and strategies, and describe ways they are used in everyday life.
Practice: Grade 4 Ontario Math: Number · Grade 5 Ontario Math: Number
B1.2 Compare and order whole numbers up to and including 100,000, in various contexts.
Practice: Grade 4 Ontario Math: Number · Grade 5 Ontario Math: Number
B1.3 Represent equivalent fractions from halves to twelfths, including improper fractions and mixed numbers, using tools, in various contexts.
Practice: Fair Shares: Fractions and Decimals workbook · Grade 5 Ontario Math: Number
B1.4 Compare and order fractions from halves to twelfths, including improper fractions and mixed numbers, in various contexts.
Practice: Fair Shares: Fractions and Decimals workbook · Grade 4 Ontario Math: Number · Grade 5 Ontario Math: Number
B1.5 Read, represent, compare and order decimal numbers up to hundredths, in various contexts.
Practice: Grade 5 Ontario Math: Number
B1.6 Round decimal numbers to the nearest tenth, in various contexts.
Practice: Grade 5 Ontario Math: Number
B1.7 Describe relationships and show equivalences among fractions, decimal numbers up to hundredths and whole-number percents, using tools and drawings, in various contexts.
Practice: Fair Shares: Fractions and Decimals workbook · Grade 4 Ontario Math: Number · Grade 5 Ontario Math: Number
B2.1 Use the properties of operations and the relationships between operations to solve problems with whole numbers and decimal numbers, including problems with more than one operation, and check calculations.
Practice: Grade 5 Ontario Math: Financial Literacy · Grade 5 Ontario Math: Number · Grade 5 Money Problems: Shopping in Canada · Grade 5 Word Problems: 100 Canadian Situations · Grade 4 Ontario Math: Algebra · Grade 4 Ontario Math: Number · Grade 4 Word Problems: 100 Canadian Situations
B2.2 Recall and demonstrate multiplication facts from 0 × 0 to 12 × 12, and the related division facts.
Practice: Grade 3 Ontario Math: Number · Grade 4 Ontario Math: Number · Grade 5 Ontario Math: Number
B2.3 Use mental math strategies to multiply whole numbers by 0.1 and 0.01, and to estimate sums and differences of decimal numbers up to hundredths, and explain the strategies used.
Practice: Grade 5 Ontario Math: Number
B2.4 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 tools, strategies and algorithms.
Practice: Grade 5 Ontario Math: Financial Literacy · Grade 5 Ontario Math: Number · Grade 5 Money Problems: Shopping in Canada · Grade 5 Word Problems: 100 Canadian Situations
B2.5 Add and subtract fractions with like denominators, in various contexts.
Practice: Fair Shares: Fractions and Decimals workbook · Grade 5 Ontario Math: Number
B2.6 Represent and solve problems involving multiplying two-digit whole numbers by two-digit whole numbers, using the area model and algorithms, and connect the two methods.
Practice: Grade 4 Ontario Math: Number · Grade 4 Word Problems: 100 Canadian Situations · Grade 5 Ontario Math: Number · Grade 5 Word Problems: 100 Canadian Situations
B2.7 Represent and solve problems involving dividing three-digit whole numbers by two-digit whole numbers, using the area model and algorithms, connecting the two methods and expressing any remainder in a way that fits the problem.
Practice: Grade 5 Ontario Math: Number · Grade 5 Word Problems: 100 Canadian Situations
B2.8 Multiply and divide one-digit whole numbers by unit fractions, using tools and drawings.
Practice: Grade 5 Ontario Math: Number · Grade 4 Ontario Math: Number
B2.9 Represent and create equivalent ratios and rates, using a variety of tools and models, in various contexts.
Practice: Mix It, Pace It: Ratio, Rate and Percent workbook · Grade 5 Ontario Math: Financial Literacy · Grade 5 Ontario Math: Number · Grade 5 Money Problems: Shopping in Canada · Grade 5 Word Problems: 100 Canadian Situations
C1.1 Identify and describe repeating, growing and shrinking patterns, including patterns found in real-life contexts.
Practice: Grade 5 Ontario Math: Algebra
C1.2 Create and translate growing and shrinking patterns using various representations, including tables of values and graphs.
Practice: Grade 5 Ontario Math: Algebra
C1.3 Determine pattern rules and use them to extend patterns, make and justify predictions, and identify missing elements in repeating, growing and shrinking patterns.
Practice: Grade 5 Ontario Math: Algebra
C1.4 Create and describe patterns to show relationships among whole numbers and decimal tenths and hundredths.
Practice: Grade 5 Ontario Math: Algebra
C2.1 Translate among words, algebraic expressions and visual representations that describe equivalent relationships.
Practice: Grade 5 Ontario Math: Algebra
C2.2 Evaluate algebraic expressions that involve whole numbers.
Practice: Grade 5 Ontario Math: Algebra
C2.3 Solve equations that involve whole numbers up to 100 in various contexts, and verify the solutions.
Practice: Grade 5 Ontario Math: Algebra
C2.4 Solve inequalities that involve one operation and whole numbers up to 50, and verify and graph the solutions.
Practice: Grade 4 Ontario Math: Algebra · Grade 5 Ontario Math: Algebra
D1.1 Explain why sampling techniques matter for collecting a sample that represents a population, including simple random, stratified random and systematic random sampling, and when a census is better than a sample.
Practice: Grade 5 Ontario Math: Data
D1.2 Collect data to answer questions of interest about a population, using sampling techniques when needed, and organize the data in relative-frequency tables that show each category as a fraction, decimal and percent of the total.
Practice: Grade 5 Ontario Math: Data
D2.1 Use fractions to express the probability of events, show the probability on a probability line from 0 (impossible) to 1 (certain), and use it to make predictions and informed decisions.
Practice: Grade 3 Ontario Math: Data · Grade 4 Ontario Math: Data · Grade 5 Ontario Math: Data
D2.2 Find and compare the theoretical and experimental probabilities of an event, and see that more trials usually bring the experimental probability closer to the theoretical one.
Practice: Grade 5 Ontario Math: Data
E1.1 Identify the geometric properties of triangles (sorted by equal sides and by kinds of angles), and construct different types of triangles when given side lengths or angle measures.
Practice: Grade 5 Ontario Math: Spatial Sense
E1.4 Plot and read coordinates in the first quadrant of a Cartesian plane using different scales (for example, axes counting by 2s, 5s, 10s or halves), and describe the translations that move a point from one coordinate to another.
Practice: Grade 4 Ontario Math: Spatial Sense · Grade 5 Ontario Math: Spatial Sense
E2.2 Solve problems that involve converting larger metric units into smaller ones (km to m, m to cm, cm to mm, L to mL, kg to g), and describe the base-ten relationships among metric units.
Practice: Grade 5 Ontario Math: Spatial Sense
E2.4 Explain how protractors work, use them to measure and draw angles up to 180°, and use benchmark angles (45°, 90°, 135°, 180°) to estimate the size of other angles.
Practice: Grade 5 Ontario Math: Spatial Sense
E2.5 Use the area relationships among rectangles, parallelograms and triangles to develop the formulas for the area of a parallelogram (base × height) and a triangle (base × height ÷ 2), and solve related problems.
Practice: Grade 5 Ontario Math: Spatial Sense
F1.2 Estimate and calculate the cost of transactions with several items priced in dollars and cents, including sales tax, using various strategies.
Practice: Grade 5 Ontario Math: Financial Literacy · Grade 5 Ontario Math: Number · Grade 5 Money Problems: Shopping in Canada · Grade 5 Word Problems: 100 Canadian Situations
F1.5 Calculate unit rates for different goods and services, and identify which rates offer the best value.
Practice: Mix It, Pace It: Ratio, Rate and Percent workbook · Grade 5 Ontario Math: Financial Literacy · Grade 5 Ontario Math: Number · Grade 5 Money Problems: Shopping in Canada · Grade 5 Word Problems: 100 Canadian Situations
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