Mathematics, Grade 3

Unit 1: Number

Numbers up to 1000: reading, building, rounding, and using place value; fair sharing and equivalent fractions; and adding, subtracting, multiplying, and dividing with growing facts, algorithms, and ratios.

• Reading, showing, building, and breaking apart numbers to 1000
• Comparing and ordering numbers to 1000
• Rounding to the nearest ten or hundred
• Counting to 1000 by 50s, 100s, and 200s
• Using place value to describe multi-digit numbers

• Sharing fairly among many friends, up to 20 items
• Finding equivalent fractions through fair sharing

• How multiplication and division connect
• Multiplication and division facts for 2, 5, and 10
• Mental math to add and subtract within 1000

• Understanding the steps of addition and subtraction algorithms
• Solving addition and subtraction problems to 1000

• Showing multiplication to 10×10 and division to 100÷10 with arrays
• Solving multiplication and division problems, including groups of a half, fourth, or third

• Seeing a fraction's numerator as repeated addition of a unit fraction
• Using ratios of 1 to 2, 1 to 5, and 1 to 10 to scale numbers

Unit 2: Algebra

Noticing repeating elements and operations in patterns; describing and using variables; checking if expressions are equal; and writing and reading code with loops.

• Spotting repeating elements and operations in patterns
• Making and re-showing patterns, including with tables of values
• Finding pattern rules for repeating elements and operations
• Using patterns to show how numbers to 1000 relate

• Describing and using variables
• Are these four-operation expressions equal?
• Finding equal ways to make the same number to 1000

• Writing and running code that repeats with loops
• Reading and changing code with repeating loops

Unit 3: Data

Sorting data by up to three features; collecting qualitative and quantitative data with frequency tables; showing data with pictographs and bar graphs; finding the mean and mode; and describing likelihood with a fuller vocabulary.

• Sorting data by two or three features
• Collecting qualitative and quantitative data and using frequency tables
• Showing data with pictographs and bar graphs using scales
• Finding the mean and the mode of a data set
• Asking and answering questions about data in frequency tables and scaled graphs

• Describing likelihood: unlikely, equally likely, and likely
• Predicting if the mean and mode will match in a different group

Unit 4: Spatial Sense

Sorting and building 3D solids like prisms, pyramids, cylinders, and cones; checking for congruence; giving multistep directions with turns; and measuring perimeter, length, capacity, mass, time, and area.

• Sorting and naming prisms, pyramids, cylinders, and cones
• Building and breaking apart structures to find shapes inside
• Checking if 3D objects match exactly (congruent)

• Giving and following multistep directions with half- and quarter-turns

• Measuring and building shapes with a given perimeter
• Millimetres, centimetres, metres, and kilometres, with benchmarks

• Measuring capacity with non-standard units
• Measuring mass with a pan balance
• Using different-sized units to measure the same attribute

• Telling time in hours, minutes, and seconds
• Comparing areas by matching, covering, and decomposing shapes

• Measuring area with non-standard units
• Measuring area in square centimetres and square metres

Unit 5: Financial Literacy

Estimating and calculating change for simple cash purchases.

• Estimating and calculating change for cash purchases