MichiganMichigan 7th Grade Math Curriculum
Video lessons and practice for every 7th grade math topic. Aligned to Michigan Mathematics Standards so your child keeps up with what school teaches.
Michigan 7th Grade Math Curriculum | StudyPugHelp
ID | Standard | StudyPug Topic |
|---|---|---|
7.RP.A.1 | Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. |
7.RP.A.2 | Recognize and represent proportional relationships between quantities. |
7.RP.A.3 | Use proportional relationships to solve multistep ratio and percent problems. |
7.NS.A.1 | Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram. |
7.NS.A.2 | Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers. |
7.NS.A.3 | Solve real-world and mathematical problems involving the four operations with rational numbers. |
7.EE.A.1 | Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients. |
7.EE.A.2 | Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related. |
7.EE.B.3 | Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form, using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies. |
7.EE.B.4 | Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities. |
7.G.A.1 | Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale. |
7.G.A.2 | Draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle. |
7.G.A.3 | Describe the two-dimensional figures that result from slicing three-dimensional figures, as in plane sections of right rectangular prisms and right rectangular pyramids. |
7.G.B.4 | Know the formulas for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle. |
7.G.B.5 | Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple equations for an unknown angle in a figure. |
7.G.B.6 | Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms. |
7.SP.A.1 | Understand that statistics can be used to gain information about a population by examining a sample of the population; generalizations about a population from a sample are valid only if the sample is representative of that population. |
7.SP.A.2 | Use data from a random sample to draw inferences about a population with an unknown characteristic of interest. |
7.SP.B.3 | Informally assess the degree of visual overlap of two numerical data distributions with similar variabilities, measuring the difference between the centers by expressing it as a multiple of a measure of variability. |
7.SP.B.4 | Use measures of center and measures of variability for numerical data from random samples to draw informal comparative inferences about two populations. |
7.SP.C.5 | Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring. |
7.SP.C.6 | Approximate the probability of a chance event by collecting data on the chance process that produces it and observing its long-run relative frequency, and predict the approximate relative frequency given the probability. |
7.SP.C.7 | Develop a probability model and use it to find probabilities of events. Compare probabilities from a model to observed frequencies; if the agreement is not good, explain possible sources of the discrepancy. |
7.SP.C.8 | Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation. |
7th Grade Math Topics in Michigan
Michigan's 7th grade math curriculum follows the Michigan Mathematics Standards and covers a wide range of concepts that build directly on 6th grade skills. Students move from understanding ratios and unit rates to applying proportional reasoning across real-world problems. By the end of 7th grade, Michigan students are expected to work fluently with rational numbers, solve multi-step equations and inequalities, and interpret statistical data.
Ratios, Rates, and Proportional Relationships
7th grade math starts with computing unit rates involving ratios of fractions — for example, comparing speeds measured in miles per hour when the distances and times are both fractional. Students then learn to recognize and represent proportional relationships in tables, graphs, equations, and verbal descriptions. They apply this understanding to solve multi-step percent problems including markups, markdowns, tips, taxes, simple interest, and percent change.
Rational Number Operations
A major focus in 7th grade is extending number operations to all rational numbers — positive and negative fractions, decimals, and integers. Students learn to add, subtract, multiply, and divide rational numbers and represent these operations on number lines. They solve real-world problems using all four operations and apply properties of operations to simplify and evaluate expressions involving rational numbers in any form.
Expressions, Equations, and Inequalities
Michigan 7th graders apply properties of operations to add, subtract, factor, and expand linear expressions with rational coefficients. They learn how rewriting expressions can reveal new information about a problem. Students construct and solve simple equations and inequalities using variables to represent unknown quantities in real-world scenarios, building the algebraic reasoning skills needed for 8th grade.
Geometry
Geometry topics in 7th grade include scale drawings, constructing triangles given angle or side conditions, and identifying cross-sections of three-dimensional figures. Students learn and apply the formulas for the area and circumference of a circle, work with supplementary, complementary, vertical, and adjacent angles, and solve problems involving area, surface area, and volume of two- and three-dimensional figures including prisms and pyramids.
Statistics and Probability
Students are introduced to using random samples to make inferences about populations and compare two data sets using measures of center and variability. Probability topics include understanding probability as a number between 0 and 1, approximating probability through experiments, developing probability models, and finding probabilities of compound events using lists, tables, tree diagrams, and simulation.
How StudyPug Supports Michigan 7th Grade Math
StudyPug provides video lessons and practice problems for every topic in the Michigan 7th grade math curriculum. Lessons are short — most run 5 to 15 minutes — and broken into segments students can pause and replay. Practice problems include step-by-step solutions so students understand where they went wrong. StudyPug is available on computers, tablets, and phones, making it easy to get homework help at home or on the go.
- Video lessons aligned to Michigan Mathematics Standards for 7th grade
- Practice problems with full worked solutions for every topic
- Covers ratios, rational numbers, algebra, geometry, statistics, and probability
- Accessible on any device — computer, tablet, or phone
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