🔢 Grade 7 Math: how to help at home

What each unit covers

1. 🔢Big & Rational Numbers

   Writing big numbers with powers of ten, perfect squares and square roots, comparing positive and negative fractions and decimals, simplifying fractions and rounding.

2. ⚡Factors & Exponents

   Finding the greatest common factor and lowest common multiple, and writing and evaluating repeated multiplication with exponents.

3. 🌡️Add & Subtract Integers

   Adding and subtracting positive and negative numbers with number lines, temperatures and elevations, including the idea that subtracting a number is the same as adding its opposite.

4. 🧮Decimal Operations

   All four operations with decimals, estimating to check answers, ordering decimals, and money problems such as unit prices.

5. 🍕Fractions

   Adding and subtracting fractions with different denominators, and multiplying and dividing a fraction by a fraction.

6. 💯Fractions, Decimals & Percents

   Moving between fractions, decimals (including repeating decimals) and percents, finding a percent of a number, and simplifying and scaling ratios.

7. 💯Percents & Proportions

   Knowing common fraction, decimal and percent equivalents, increasing and decreasing numbers by 1%, 5%, 10%, 25%, 50% and 100%, and deciding whether a relationship is proportional.

8. 📈Linear Relations

   Finding the rule behind growing patterns, writing expressions like 3n + 2, and connecting tables, graphs and real situations such as rental costs.

9. 🔤Algebra Moves

   Combining like terms, evaluating expressions with decimals, solving two-step equations, and finding and graphing solutions to inequalities.

10. ⚖️Two-Step Equations

    Solving equations like 3x + 5 = 26 by undoing each step on both sides, writing equations from word problems and checking solutions.

11. 📊Data & Percentages

    Using percents to compare groups, turning circle-graph angles into percents, and seeing how adding or removing a value changes the mean and median.

12. 🥧Circle Graphs

    Reading and building circle graphs: turning percents into numbers of people and sector angles (out of 360°), and comparing categories.

13. 🎲Probability

    Listing outcomes of two independent events (like a coin and a die), finding theoretical probabilities by multiplying, and comparing them with experimental results.

14. 🎲Dependent Events

    Telling independent from dependent events and finding the probability of two events, with and without putting the first item back.

15. 🗺️Coordinates & Transformations

    Reading and plotting points in all four quadrants, and describing translations, reflections, 180° rotations and combinations of them.

16. ⭕Circles

    Using radius, diameter and π (about 3.14) to find the distance around a circle and the area inside it, including real objects like wheels and pizzas.

17. 🧊Solids & Scale

    Counting faces, edges and vertices, classifying solids, planes of symmetry, enlarging and shrinking shapes by a scale factor, and scale drawings.

18. 📦Volume

    Finding volume as base area × height for boxes and cylinders, working backwards to a missing dimension, and linking cm³ to millilitres and litres.

19. 📦Volume & Surface Area

    Linking millilitres and cubic centimetres, converting square and cubic units, the surface area of a cylinder from its net, and the volume of prisms.

20. 💱Money Smarts

    Converting between currencies, finding reliable money advice, budgeting for a goal, and seeing how simple and compound interest and fees change savings and borrowing.