🔢 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: 5N1.1 · reading, writing, comparing and rounding whole numbers using place value

2. Unit 2

   🧮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: 5N1.1, 5N2.1 · decimals to thousandths using place value, and adding and subtracting them

3. Unit 3

   ➕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: 5N2.1 · adding and subtracting whole numbers to 1 000 000

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: 5N4.1 · multiplying whole numbers, including 3-digit by 2-digit

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: 5N4.1 · dividing 3-digit numbers by 1-digit numbers, with and without remainders

6. Unit 6

   ➗Divisibility Tests

   Tests for divisibility by 2, 3, 4, 5, 6, 8, 9 and 10, such as adding the digits for 3 and 9 or checking the last digit for 5 and 10, and the idea that 0 is divisible by every whole number.

   Learning outcome: 5N3.1 · using divisibility tests (including for 0) to decide if a number can be divided evenly

7. Unit 7

   🍰Fractions

   Equivalent fractions up to twelfths, improper fractions and mixed numbers, comparing fractions, adding and subtracting with the same denominator, and multiplying a whole number by a unit fraction.

   Learning outcome: 5N5.1 · improper fractions and mixed numbers, and equivalent fractions

8. Unit 8

   🍕Add & Subtract Fractions

   Adding and subtracting fractions that already share a denominator: the number of equal parts stays the same and only the number of parts changes. Sums can be larger than 1.

   Learning outcome: 5N6.1 · adding and subtracting fractions with a common denominator

9. Unit 9

   💯Decimals & Percents

   Reading, comparing and rounding decimals to hundredths, linking fractions, decimals and percents, estimating, and adding and subtracting decimals.

   Learning outcome: 5N7.1 · showing the same part-whole relationship as fractions, decimals and percents

10. Unit 10

    ✖️Multiply, Divide & Ratios

    Facts to 12 × 12, multiplying two two-digit numbers, dividing three-digit numbers by two-digit numbers, and using equivalent ratios and rates.

    Learning outcome: 5N4.1, 5N7.1 · multiplication and division facts, and ratios

11. Unit 11

    🔤Expressions & Equations

    Writing expressions like n + 5 for “5 more than a number”, evaluating them, solving equations to 100, and finding numbers that make an inequality true.

    Learning outcome: 5A1.1, 5A1.2, 5A1.3 · expressions, order of operations and solving one- and two-step equations

12. Unit 12

    🧩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: 5P1.1, 5A1.3 · arithmetic sequences, position and term, and solving equations

13. Unit 13

    🦋Symmetry

    Lines of reflection symmetry, the order of rotational symmetry and how both work for regular polygons (a regular polygon with n sides has n lines of symmetry and rotational symmetry of order n).

    Learning outcome: 5G1.1, 5G1.2 · reflection and rotational symmetry in 2D shapes and regular polygons

14. Unit 14

    📐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: 5M1.1 · area of squares and rectangles in square units, and its relationship to perimeter