🔢 Grade 5 Math

Units

1. 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.

   Learning outcome: 5.N.1 · representing and describing whole numbers to 1 000 000

2. 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).

   Learning outcome: 5.N.2, 5.N.11 · estimation strategies, and adding and subtracting decimals

3. 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.

   Learning outcome: 5.N.3, 5.N.4 · multiplication and division facts to 81, and mental strategies for multiplying

4. 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.

   Learning outcome: 5.N.5 · multiplying with 1- and 2-digit multipliers

5. 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.

   Learning outcome: 5.N.6 · dividing with 1- and 2-digit divisors

6. 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.

   Learning outcome: 5.N.7 · creating sets of equivalent fractions

7. 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.

   Learning outcome: 5.N.8, 5.N.9, 5.N.10 · decimals to thousandths, relating them to fractions, and comparing and ordering them

8. 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.

   Learning outcome: 5.PR.1, 5.PR.2 · pattern rules, and one-step equations with a variable

9. 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).

   Learning outcome: 5.SS.1 · designing rectangles given perimeter or area

10. 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.

    Learning outcome: 5.SS.2, 5.SS.3, 5.SS.4 · measuring in millimetres, volume in cubic units, and capacity in mL and L

11. 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.

    Learning outcome: 5.SS.5, 5.SS.6 · parallel and perpendicular sides and edges, and sorting quadrilaterals

12. 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).

    Learning outcome: 5.SS.7, 5.SS.8 · single transformations of 2-D shapes

13. 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.

    Learning outcome: 5.SP.1, 5.SP.2, 5.SP.3, 5.SP.4 · first- and second-hand data, double bar graphs, and the likelihood of outcomes