🔢 7th grade Math: how to help at home

What each unit covers

1. 🌡️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.

2. ➖Multiply & Divide Signed Numbers

   Multiplying and dividing positive and negative numbers (including fractions), using the sign rules, and real-world changes such as falling temperatures.

3. 🍕Fractions

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

4. 🧮Decimal Operations

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

5. 📏Proportional Relationships

   Deciding whether a table shows a proportional relationship, finding the constant of proportionality, writing y = kx, and unit rates with fractions.

6. 💯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.

7. 💯Fractions, Decimals & Percents

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

8. 🗺️Scale Drawings

   Finding real lengths and areas from a scale drawing or map, and redrawing at a different scale.

9. ⭕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.

10. 📦Volume

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

11. 🧊Nets & Surface Area

    Using nets made of rectangles and triangles to find the surface area of prisms and pyramids.

12. 🎲Probability

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

13. 🎲Dependent Events

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

14. 🎯Samples & Populations

    Telling a sample from a population, choosing a fair random sample, and using sample results to estimate for a whole population.

15. 🥧Circle Graphs

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

16. 📊Mean, Median & Mode

    Mean, median, mode and range, and how an outlier changes them.

17. 📈Linear Relations

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

18. ⚖️Two-Step Equations

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

19. 🔤Algebra Moves

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

20. 📐Angle Relationships

    Using complementary, supplementary, vertical and adjacent angles to find a missing angle, sometimes with a simple equation.

21. 🏷️Tips, Discounts & Interest

    Your child uses percents to find tips, sale prices and percent discounts, compares two sales, and finds simple interest on savings.

22. 📈Taxes, Net Worth & Interest

    Personal financial literacy: your child finds sales tax and income tax, names the parts of a budget, builds a net worth statement from assets and liabilities, uses a family budget to find the wage a family needs, compares simple and compound interest, and compares sales, rebates and coupons.