🔢 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. 🎲Probability

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

7. 🍕Fractions

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

8. 💯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.

9. 🔤Algebra Moves

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

10. 🎲Dependent Events

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

11. 📊Mean, Median & Mode

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

12. 📊Center & Spread

    Telling a statistical question from a regular question, and describing data with the mean, median, range and interquartile range.

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. 🗺️Scale Drawings

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

17. 🔁Rewriting Expressions

    Writing the same expression in a different form to see what it means: a 6% increase as 1.06p, 20% off as 0.8p, and 4t + 4s as 4(t + s), what each friend spends times 4.

18. 🔺One Triangle, Many or None?

    Deciding whether given sides and angles make exactly one triangle, more than one, or none: the two shorter sides must add to more than the longest, the angles must add to 180°, and three angles fix the shape but not the size.

19. 🍞Slicing Solids

    Picturing the flat shape you get when you slice a prism, pyramid, cylinder, cone or sphere parallel or perpendicular to its base, like slicing a loaf of bread or a block of cheese.

20. 🏠Area of Composite Shapes

    Finding the area of floors, walls, signs and gardens made of rectangles, triangles and trapezoids by splitting them into parts, adding the areas, or subtracting a cut-out part.