How to learn Grade 3: Mathematics

Manitoba curriculum: Mathematics, Grade 3

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1. Statistics and Probability (Data Analysis)

Picture & Bar Graphs: Draw a picture graph and a bar graph (with single-unit scale) to represent a data set with up to four categories; solve put-together, take-apart, and compare problems using information presented in a bar graph
Pictograms and tally charts: Interpret and construct simple pictograms, tally charts, block diagrams, and simple tables

2. Shape and Space (Measurement)

Regular and irregular polygons: Distinguish between regular and irregular polygons based on reasoning about equal sides and equal angles
Edges, vertices, and faces: Identify and describe properties of 3-D shapes including the number of edges, vertices, and faces
Calculating with measurements: Measure, compare, add, and subtract lengths (m/cm/mm), mass (kg/g), and volume/capacity (l/ml) using standard units
Measuring Perimeters: Measure the perimeter of simple 2-D shapes
Measuring with different units: Measure the length of an object using two different length units and describe how the measurements relate to the size of the unit chosen
Estimating Lengths: Estimate lengths using units of inches, feet, centimetres, and metres
Converting measurement units: Convert between different units of measure (e.g. kilometre to metre, hour to minute, minute to second, year to month, week to day)
Telling time to the minute (age 9+): Solve problems involving converting between units of time (hours↔minutes, minutes↔seconds, years↔months, weeks↔days)

3. Patterns and Relations

Two-Step Word Problems: Solve one- and two-step word problems within 100 using addition and subtraction, with unknowns in all positions
Number Pattern Relationships: Generate two numerical patterns using two given rules; identify relationships between corresponding terms; form ordered pairs and graph them on a coordinate plane

4. Number

Fraction Notation: Read, write, and use fraction notation correctly — fraction, numerator, denominator, unit fraction, non-unit fraction, proper fraction, improper fraction, mixed number, equivalent fraction, simplest form — and understand what each term describes, including the roles of the numerator and denominator in expressing parts of a whole
Fractions of a whole: Understand a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts; understand a/b as a parts of size 1/b
Understanding fractions: Move fluently between real-world situations, diagrams, and symbolic equations involving three-digit numbers and fractions, explaining what each part represents
Fractions on a number line: Move fluently between real-world situations, diagrams, number lines, and symbolic equations involving multiplication, fractions, and decimals, explaining what each representation shows
What Division Means: Interpret whole-number quotients (e.g. 56 ÷ 8 as the number of objects in each share or the number of equal groups)
What Multiplication Means: Interpret products of whole numbers (e.g. 5 × 7 as the total number of objects in 5 groups of 7)
Mental addition and subtraction (age 9+): Add and subtract numbers mentally with increasingly large numbers, using place-value knowledge and derived facts
Addition and subtraction within 1000: Add and subtract within 1000 using concrete models, drawings, and strategies based on place value; understand composing and decomposing tens and hundreds
Adding numbers: Add up to four two-digit numbers using strategies based on place value and properties of operations
Adding two two-digit numbers: Add and subtract two two-digit numbers using concrete objects, pictorial representations, and mental methods
Place Value to 1000: Solve number problems and practical problems involving place value of numbers up to 1000
Numbers to 10,000: Identify, represent, and estimate numbers up to 10,000 using different representations
Ordering Numbers to 1000: Compare and order numbers up to 1000 using >, =, and < symbols, based on place-value understanding
Comparing Large Numbers: Order and compare numbers beyond 1000
Counting Within 1,000: Count within 1000, including skip-counting by 5s, 10s, and 100s