7th grade Math
15 units matched to the Minnesota K-12 Academic Standards.
Focus areas
- Patterns and relationships: proportional relationships, operations with rational numbers, and equations
- Spatial reasoning, data and probability: scale drawings, circles, probability, and comparing data sets
- 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.
Benchmark: 7.3.5.4; 7.3.5.6 · adding and subtracting positive and negative numbers
Unit 2
Decimal Operations
All four operations with decimals, estimating to check answers, ordering decimals, and money problems such as unit prices.
Benchmark: 7.3.5.6 · computing with positive and negative 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.
Benchmark: 7.3.5.1 · writing rational numbers as fractions and decimals
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.
Benchmark: 7.3.6.2 · writing and solving two-step equations
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.
Benchmark: 7.2.3.1; 7.2.3.2 · the circumference and area of circles
Unit 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.
Benchmark: 7.1.2.4; 7.1.2.6 · sample spaces and probabilities of compound events
Unit 7
Fractions
Adding and subtracting fractions with different denominators, and multiplying and dividing a fraction by a fraction.
Benchmark: 7.3.5.6 · adding, subtracting, multiplying and dividing rational numbers
Unit 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.
Benchmark: 7.3.6.4; 7.3.6.5 · proportional relationships, and tax, markups, markdowns and tips
Unit 9
Algebra Moves
Combining like terms, evaluating expressions with decimals, solving two-step equations, and finding and graphing solutions to inequalities.
Benchmark: 7.3.6.1; 7.3.6.2 · equivalent expressions, and two-step equations and inequalities
Unit 10
Dependent Events
Telling independent from dependent events and finding the probability of two events, with and without putting the first item back.
Benchmark: 7.1.2.3; 7.1.2.6 · probabilities of compound events with lists and tree diagrams
Unit 11
Mean, Median & Mode
Mean, median, mode and range, and how an outlier changes them.
Benchmark: 7.1.1.4 · describing a data set by its center and spread
Unit 12
Center & Spread
Telling a statistical question from a regular question, and describing data with the mean, median, range and interquartile range.
Benchmark: 7.1.1.4 · the center, spread and shape of a data distribution
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.
Benchmark: 7.3.5.6 · multiplying and dividing positive and negative rational 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.
Benchmark: 7.3.7.2; 7.3.7.3; 7.3.5.7 · unit rates and recognizing proportional relationships
Unit 15
Scale Drawings
Finding real lengths and areas from a scale drawing or map, and redrawing at a different scale.
Benchmark: 7.2.4.4; 7.2.4.3 · scale drawings and scale factors
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