7th grade Math
17 units matched to the California Content Standards.
Focus areas
- Number and operations: proportional relationships, integers, and equations
- Measurement, data and geometry: shapes, measuring and reading data
- 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.
Learning standard: 7.NS.1 · 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.
Learning standard: 7.NS.2; 7.EE.3 · 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.
Learning standard: 7.NS.2; 7.RP.3 · writing equivalent numbers as 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.
Learning standard: 7.EE.4 · writing and solving two-step equations from problems in context
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.
Learning standard: 7.G.4 · 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.
Learning standard: 7.G.6 · volume of prisms in problems with three-dimensional figures
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.
Learning standard: 7.SP.5; 7.SP.7; 7.SP.8 · probability of chance events and compound events
Unit 8
Fractions
Adding and subtracting fractions with different denominators, and multiplying and dividing a fraction by a fraction.
Learning standard: 7.NS.1; 7.NS.2 · 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.
Learning standard: 7.RP.2; 7.RP.3 · proportional relationships and percent increase and decrease
Unit 10
Algebra Moves
Combining like terms, evaluating expressions with decimals, solving two-step equations, and finding and graphing solutions to inequalities.
Learning standard: 7.EE.1; 7.EE.4 · 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.
Learning standard: 7.SP.8 · 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.
Learning standard: 7.SP.3; 7.SP.4 · 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.
Learning standard: 7.NS.2 · 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.
Learning standard: 7.RP.1; 7.RP.2 · unit rates with fractions, recognizing proportional relationships and finding the constant of proportionality
Unit 15
Angle Relationships
Using complementary, supplementary, vertical and adjacent angles to find a missing angle, sometimes with a simple equation.
Learning standard: 7.G.5 · 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.
Learning standard: 7.SP.1; 7.SP.2 · using random samples to draw inferences about a population
Unit 17
Scale Drawings
Finding real lengths and areas from a scale drawing or map, and redrawing at a different scale.
Learning standard: 7.G.1 · solving problems with scale drawings, including actual lengths and areas
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