🔢 Grade 5 Math: how to help at home

What each unit covers

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.

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.

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).

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.

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.

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.

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.

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.

9. 💯Decimals & Percents

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

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.

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.

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.

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).

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).