🔢 7th grade Math

Units

1. Unit 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.

   TEKS student expectation: 7.3(A) · adding and subtracting rational numbers, including negative numbers

2. Unit 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.

   TEKS student expectation: 7.3(A); 7.3(B) · multiplying and dividing rational numbers, including negative numbers

3. Unit 3

   🍕Fractions

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

   TEKS student expectation: 7.3(A) · adding, subtracting, multiplying and dividing fractions

4. Unit 4

   🧮Decimal Operations

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

   TEKS student expectation: 7.3(A); 7.3(B) · computing with decimals in multi-step problems

5. Unit 5

   📏Proportional Relationships

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

   TEKS student expectation: 7.4(A); 7.4(B); 7.4(C) · constant rates, unit rates and the constant of proportionality

6. Unit 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.

   TEKS student expectation: 7.4(D) · ratios, rates and percents, including percent increase and decrease

7. Unit 7

   💯Fractions, Decimals & Percents

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

   TEKS student expectation: 7.3(A); 7.4(D) · fractions, decimals and percents in percent problems

8. Unit 8

   🗺️Scale Drawings

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

   TEKS student expectation: 7.5(A); 7.5(C) · similar shapes and scale drawings

9. Unit 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.

   TEKS student expectation: 7.5(B); 7.8(C); 7.9(B) · π, and the circumference and area of circles

10. Unit 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.

    TEKS student expectation: 7.9(A) · volume of prisms

11. Unit 11

    🧊Nets & Surface Area

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

    TEKS student expectation: 7.9(D) · lateral and total surface area of prisms and pyramids with nets

12. Unit 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.

    TEKS student expectation: 7.6(A); 7.6(D); 7.6(I) · sample spaces and theoretical probability of simple and compound events

13. Unit 13

    🎲Dependent Events

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

    TEKS student expectation: 7.6(A); 7.6(D) · tree diagrams and the probability of compound events

14. Unit 14

    🎯Samples & Populations

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

    TEKS student expectation: 7.6(F); 7.12(B) · using a random sample to make inferences about a population

15. Unit 15

    🥧Circle Graphs

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

    TEKS student expectation: 7.6(G) · solving part-to-whole problems with circle graphs

16. Unit 16

    📊Mean, Median & Mode

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

    TEKS student expectation: 7.12(A) · comparing two groups of data by their centers and spreads

17. Unit 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.

    TEKS student expectation: 7.7 · linear relationships in words, tables, graphs and equations of the form y = mx + b

18. Unit 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.

    TEKS student expectation: 7.10(A); 7.11(A) · writing and solving two-step equations

19. Unit 19

    🔤Algebra Moves

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

    TEKS student expectation: 7.10(B); 7.11(B) · two-step equations and inequalities on a number line, and checking solutions

20. Unit 20

    📐Angle Relationships

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

    TEKS student expectation: 7.11(C) · writing and solving equations with angle relationships

21. Unit 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.

    TEKS student expectation: 7.4(D); 7.13(E); 7.13(F) · percent problems with tips, discounts and sales, and simple interest

22. Unit 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.

    TEKS student expectation: 7.13(A); 7.13(B); 7.13(C); 7.13(D); 7.13(E); 7.13(F) · sales and income tax, budgets, net worth, family budgets, simple and compound interest, and sales, rebates and coupons