Grade 5 Math
13 units matched to the Prince Edward Island Curriculum.
Learning focus
- Number. Represent and describe whole numbers to 1 000 000.
- Patterns and Relations. Determine the pattern rule to make predictions about subsequent elements.
- Shape and Space. Design and construct different rectangles given either perimeter or area, or both (whole numbers) and draw conclusions.
- Statistics and Probability. Differentiate between first-hand and second-hand data.
Units
Unit 1
Numbers to a Million
Place value to 1 000 000: digit values, standard and expanded form, number words, rounding, ordering, and using benchmarks like 500 000 on a number line.
Curriculum outcome: N1 · reading, writing and comparing whole numbers up to 1 000 000
Unit 2
Add & Subtract
Adding and subtracting numbers up to 1 000 000 with regrouping (including across zeros), estimating by rounding, and mental math such as compensation (adding 4999 as 5000 − 1).
Curriculum outcome: N2 · estimating sums and differences with rounding, compensation and compatible numbers
Unit 3
Mental Math Tricks
Recalling multiplication and division facts to 9 × 9, and mental strategies such as adding zeros, halving and doubling, and breaking a number into friendly parts.
Curriculum outcome: N3; N4 · mental math strategies and number properties for multiplication and division facts
Unit 4
Multiply
Multiplying 2- and 3-digit numbers using area models and partial products, patterns with 10, 100 and 1000, doubling and halving, and estimating products by rounding.
Curriculum outcome: N5 · multiplying 2-digit by 2-digit numbers
Unit 5
Divide
Dividing 2- and 3-digit numbers, finding remainders and deciding what they mean in a story (round up for buses, drop the extra for full bags), and estimating with friendly numbers.
Curriculum outcome: N6 · dividing 3-digit numbers by 1-digit numbers and understanding remainders
Unit 6
Equivalent Fractions
Making and recognizing equivalent fractions (2/3 = 8/12), simplifying, comparing and ordering fractions, and judging whether a fraction is close to 0, 1/2 or 1.
Curriculum outcome: N7 · equivalent fractions and comparing and ordering fractions
Unit 7
Decimals
Reading, writing, comparing and rounding decimals to thousandths, linking decimals to fractions out of 10, 100 and 1000, and adding and subtracting decimals in real situations.
Curriculum outcome: N8; N9; N10; N11 · tenths, hundredths and thousandths, comparing decimals and adding and subtracting them
Unit 8
Patterns & Equations
Describing growing and shrinking patterns with rules and expressions like 3n + 1, using input–output tables, and solving one-step equations such as n + 37 = 92 or 6 × n = 54.
Curriculum outcome: PR1; PR2 · pattern rules and one-step equations with a variable
Unit 9
Area & Perimeter
Finding the area and perimeter of squares and rectangles, working backwards to a missing side, and discovering that shapes with the same area can have different perimeters (and vice versa).
Curriculum outcome: SS1 · designing rectangles with a given area or perimeter
Unit 10
Millimetres, Volume and Capacity
Choosing units for length (mm), volume (cm³, m³) and capacity (mL, L), using everyday referents, and linking millilitres to litres.
Curriculum outcome: SS2; SS3; SS4 · millimetres, volume in cm³ and m³, and capacity in mL and L
Unit 11
Parallel Lines and Quadrilaterals
Finding parallel and perpendicular edges and sides, and sorting quadrilaterals (rectangles, squares, trapezoids, parallelograms and rhombuses) by their sides and angles.
Curriculum outcome: SS5; SS6 · parallel and perpendicular lines, and sorting quadrilaterals by their attributes
Unit 12
Prisms, Pyramids & Moves
Naming and classifying prisms and pyramids by their bases, counting faces, edges and vertices, and describing single transformations: translations (slides), reflections (flips) and rotations (turns).
Curriculum outcome: SS7; SS8 · slides, flips and turns of 2-D shapes
Unit 13
Graphs & Chance
Reading double bar graphs where each square stands for several items (many-to-one), comparing two sets of data, and describing the probability of single outcomes with spinners, marbles, dice and coins.
Curriculum outcome: SP2; SP3; SP4 · double bar graphs and describing how likely events are
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