Grade 4 Math
16 units matched to the Ontario Curriculum.
Overall expectations
- B1 Number Sense: Demonstrate an understanding of numbers and make connections to the way numbers are used in everyday life
- B2 Operations: Use knowledge of numbers and operations to solve mathematical problems encountered in everyday life
- C1 Patterns and Relationships: Identify, describe, extend, create, and make predictions about a variety of patterns, including those found in real-life contexts
- C2 Equations and Inequalities: Demonstrate an understanding of variables, expressions, equalities, and inequalities, and apply this understanding in various contexts
- C3 Coding: Solve problems and create computational representations of mathematical situations using coding concepts and skills
- C4 Mathematical Modelling: Apply the process of mathematical modelling to represent, analyse, make predictions, and provide insight into real-life situations This overall expectation has no specific expectations. Mathematical modelling is an iterative and interconnected process that is applied to various contexts, allowing students to bring in learning from other strands. Students’ demonstration of the process of mathematical modelling, as they apply concepts and skills learned in other strands, is assessed and evaluated. Read more about the mathematical modelling process.
- D1 Data Literacy: Manage, analyse, and use data to make convincing arguments and informed decisions, in various contexts drawn from real life
- D2 Probability: Describe the likelihood that events will happen, and use that information to make predictions
- 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
- E2 Measurement: Compare, estimate, and determine measurements in various contexts
- F1 Money and Finances: Demonstrate the knowledge and skills needed to make informed financial decisions
Units
Unit 1
Numbers to 10 000
Reading, writing and comparing numbers up to 10 000: place value, expanded form, number lines, ordering and rounding.
Expectation: B1.1–B1.3 · reading, comparing, ordering and rounding whole numbers up to 10 000
Unit 2
Add & Subtract
Adding and subtracting numbers to 10 000 with regrouping, counting up to subtract, estimating by rounding, and solving word problems.
Expectation: B2.1, B2.4 · adding and subtracting whole numbers that add up to no more than 10 000
Unit 3
Times Tables
Multiplication and division facts to 100 with arrays, fact families and strategies like doubling, using 10s, and thinking multiplication to divide.
Expectation: B2.2 · multiplication facts to 10 × 10 and the related division facts
Unit 4
Multiply & Divide
Multiplying and dividing 2- and 3-digit numbers by 1-digit numbers by splitting them by place value, plus remainders, estimating and word problems.
Expectation: B2.5, B2.6 · multiplying and dividing two- and three-digit numbers by one-digit numbers
Unit 5
Multiply & Divide
Multiplying and dividing by 10, 100 and 1000, multiplying two- and three-digit numbers by one digit, writing remainders as fractions, and solving rate problems.
Expectation: B2.3, B2.5, B2.6, B2.8 · multiplying by 10, 100 and 1000, two- and three-digit multiplication, division with remainders as fractions, and rates
Unit 6
Fractions
Reading and naming fractions from halves to tenths, counting by fractions, comparing them, and seeing 3 × 1/4 as three fourths.
Expectation: B1.4–B1.6, B2.7 · fractions from halves to tenths, counting by fractions, and repeated addition of a unit fraction
Unit 7
Tenths & Decimals
Reading, comparing, ordering and rounding decimal tenths, linking them to fractions, and adding and subtracting them.
Expectation: B1.7–B1.9, B2.3 · decimal tenths: comparing, rounding, linking to fractions, adding and subtracting
Unit 8
Patterns & Tables
Extending increasing and decreasing number patterns, naming pattern rules, finding rules in input/output tables, and describing how two quantities are related.
Expectation: C1.1–C1.4 · repeating and growing patterns, rules and tables of values
Unit 9
Solve It
Using a letter or symbol for an unknown number, solving equations, checking an answer, and finding numbers that make an inequality true.
Expectation: C2.1–C2.3 · symbols as variables, solving equations to 50, and inequalities to 20
Unit 10
Data & Averages
Telling words-data from number-data, finding the mean, median and mode, and reading stem-and-leaf plots and tables that compare two groups.
Expectation: D1.1–D1.6 · qualitative and quantitative data, mean, median and mode, stem-and-leaf plots and multiple-bar graphs
Unit 11
Chance
Using words and fractions to say how likely something is, predicting from results, and noticing when the mean and median match.
Expectation: D2.1, D2.2 · describing likelihood, fractions of outcomes, and comparing the mean, median and mode
Unit 12
Rectangles & Grids
Properties of rectangles (right angles, parallel and perpendicular sides, symmetry), reading coordinates, and sliding and flipping points on a grid.
Expectation: E1.1–E1.3 · properties of rectangles, plotting coordinates in the first quadrant, translations and reflections
Unit 13
Angles & Area
Sorting angles into acute, right, obtuse and straight, finding area by multiplying length by width, and working backward to find a side.
Expectation: E2.4–E2.6 · classifying angles, area of rectangles, and finding a missing side from the area
Unit 14
Metric Measures
Changing between grams and kilograms and between litres and millilitres, understanding kilo, centi and milli, and choosing a sensible unit and tool.
Expectation: E2.1, E2.2 · grams and kilograms, litres and millilitres, metric prefixes and choosing units
Unit 15
Telling Time
Reading analog clocks to the minute, switching between 12-hour (a.m./p.m.) and 24-hour time, and working out how long events last.
Expectation: E2.3 · elapsed time and the relationships between units of time
Unit 16
Money Sense
Ways to pay, totals and change for several items, what it means to spend, save, earn, invest and donate, and comparing prices to find a good buy.
Expectation: F1.1–F1.5 · ways to pay, multi-item totals and change, saving, spending, earning, investing and donating, and comparing prices
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