🔢 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. 🧮Decimal Operations

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

3. 💯Fractions, Decimals & Percents

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

4. ⚖️Two-Step Equations

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

5. ⭕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.

6. 📦Volume

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

7. 🎲Probability

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

8. 🍕Fractions

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

9. 💯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.

10. 🔤Algebra Moves

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

11. 🎲Dependent Events

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

12. 📊Mean, Median & Mode

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

13. ➖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.

14. 📏Proportional Relationships

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

15. 📐Angle Relationships

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

16. 🎯Samples & Populations

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

17. 🗺️Scale Drawings

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