Mathematics, Grade 4

Unit 1: Number

Numbers up to 10 000; fractions from halves to tenths and decimal tenths; and the four operations, including multi-digit multiplication, division with fractional remainders, and simple rates.

• Reading, showing, building, and breaking apart numbers to 10 000
• Comparing and ordering numbers to 10 000
• Rounding to the nearest ten, hundred, or thousand

• Writing and showing fractions from halves to tenths
• Comparing and ordering fractions from fair-share scenarios
• Counting to 10 by fractional amounts

• Reading, showing, comparing, and ordering decimal tenths
• Rounding decimal numbers to the nearest whole number
• Showing how fractions and decimal tenths connect

• Using properties of operations to solve multi-step problems
• Multiplication and division facts to 10×10

• Mental math to multiply/divide by 10, 100, 1000, and add/subtract decimal tenths

• Solving addition and subtraction problems to 10 000 and with decimal tenths

• Multiplying two- or three-digit numbers by a one-digit number
• Dividing two- or three-digit numbers by a one-digit number, with fraction remainders

• Connecting repeated addition of a unit fraction to multiplying it by a whole number
• Showing simple rates

Unit 2: Algebra

Repeating and growing patterns shown with tables and graphs; variables in expressions and equations; solving equations and inequalities; and writing and reading code with nested events.

• Spotting repeating and growing patterns
• Making and re-showing patterns, including with graphs
• Finding pattern rules for repeating and growing patterns
• Using patterns to show how whole numbers and decimal tenths relate

• Using symbols as variables in expressions and equations
• Solving equations with whole numbers up to 50
• Solving and graphing inequalities within 20

• Writing and running code with loops inside loops
• Reading and changing code with nested loops

Unit 3: Data

Telling qualitative from quantitative data; collecting data from primary and secondary sources; choosing and justifying graphs, including multiple-bar graphs; building infographics; finding the mean, median, and mode; and probability lines.

• Telling qualitative and quantitative data apart
• Collecting data from different sources and using stem-and-leaf plots

• Choosing and justifying the best graph, including multiple-bar graphs
• Creating an infographic about a data set

• Finding the mean, median, and mode of a data set
• Asking and answering questions about data in stem-and-leaf and multiple-bar graphs

• Showing likelihood on a probability line
• Predicting if the mean, median, and mode will match in a different group

Unit 4: Spatial Sense

Geometric properties of rectangles; plotting coordinates in the first quadrant; translations and reflections; metric units of mass, capacity, and length; elapsed time; classifying angles; and the area of a rectangle.

• Naming the geometric properties of rectangles
• Plotting and reading coordinates in the first quadrant

• Performing and predicting translations and reflections on a grid

• Grams and kilograms, litres and millilitres, with benchmarks
• Using metric prefixes and choosing the right unit

• Solving elapsed-time problems
• Identifying and classifying angles

• Using arrays to measure the area of rectangles
• Using the area-of-a-rectangle formula to find a missing measurement

Unit 5: Financial Literacy

Methods of payment; multi-item transaction costs and change; spending, saving, earning, investing, and donating; the relationship between spending and saving; and deciding if something is reasonably priced.

• Identifying different ways to pay for things
• Estimating and calculating multi-item costs and change

• Understanding spending, saving, earning, investing, and donating
• How spending and saving relate to each other
• Deciding whether something is reasonably priced