7th grade Math
18 units matched to the Alabama Course of Study.
Focus areas
- Numbers and operations: proportional relationships, operations with rational numbers, and equations and inequalities
- Measurement, data and geometry: scale drawings, circles, angles, probability and sampling
- Student mathematical practices: making sense of problems and explaining reasoning
Units
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.
Content standard: 7.4 · adding and subtracting rational numbers, including negative numbers
Unit 2
Decimal Operations
All four operations with decimals, estimating to check answers, ordering decimals, and money problems such as unit prices.
Content standard: 7.5; 7.8 · computing with decimals and solving multi-step problems with rational numbers
Unit 3
Fractions, Decimals & Percents
Moving between fractions, decimals (including repeating decimals) and percents, finding a percent of a number, and simplifying and scaling ratios.
Content standard: 7.3; 7.8 · converting between fractions, decimals and percents and using them in percent problems
Unit 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.
Content standard: 7.9 · writing and solving two-step equations from word problems
Unit 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.
Content standard: 7.20 · circumference and area of circles
Unit 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.
Content standard: 7.22 · volume of prisms in real-world problems
Unit 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.
Content standard: 7.13; 7.14; 7.16 · probability of chance events, probability models and compound events
Unit 8
Fractions
Adding and subtracting fractions with different denominators, and multiplying and dividing a fraction by a fraction.
Content standard: 7.4; 7.5 · adding, subtracting, multiplying and dividing fractions
Unit 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.
Content standard: 7.2; 7.3 · proportional relationships and multi-step percent problems
Unit 10
Algebra Moves
Combining like terms, evaluating expressions with decimals, solving two-step equations, and finding and graphing solutions to inequalities.
Content standard: 7.6; 7.9 · writing equivalent expressions and solving equations and inequalities
Unit 11
Dependent Events
Telling independent from dependent events and finding the probability of two events, with and without putting the first item back.
Content standard: 7.16 · probabilities of compound events with organized lists and tree diagrams
Unit 12
Mean, Median & Mode
Mean, median, mode and range, and how an outlier changes them.
Content standard: 7.11; 7.12 · comparing two data sets with measures of center and variability
Unit 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.
Content standard: 7.4 · multiplying and dividing rational numbers, including negative numbers
Unit 14
Proportional Relationships
Deciding whether a table shows a proportional relationship, finding the constant of proportionality, writing y = kx, and unit rates with fractions.
Content standard: 7.1; 7.2 · unit rates with fractions and recognizing proportional relationships
Unit 15
Angle Relationships
Using complementary, supplementary, vertical and adjacent angles to find a missing angle, sometimes with a simple equation.
Content standard: 7.21 · using supplementary, complementary, vertical and adjacent angles to find unknown angles
Unit 16
Samples & Populations
Telling a sample from a population, choosing a fair random sample, and using sample results to estimate for a whole population.
Content standard: 7.10 · using a sample to draw conclusions about a population
Unit 17
Scale Drawings
Finding real lengths and areas from a scale drawing or map, and redrawing at a different scale.
Content standard: 7.17 · solving problems with scale drawings, including actual lengths and areas
Unit 18
Area & Constructions
Area of triangles and parallelograms using base and height, and the vocabulary of perpendicular and parallel lines and bisectors.
Content standard: 7.18; 7.22 · constructing perpendicular and parallel lines and bisectors, and areas of triangles and parallelograms
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