MontanaMontana 7th Grade Math Curriculum
Video lessons and practice for every 7th grade math topic. Aligned to Montana Math Content Standards so your child gets help with exactly what their class covers.
Montana 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. |
Montana 7th Grade Math: Topics and Standards
Montana 7th grade math follows the Montana Math Content Standards and covers a wide range of topics that build the foundation for algebra and beyond. StudyPug's lessons are organized to match what Montana students learn in class, from unit rates and proportional reasoning to probability and statistics.
Ratios and Proportional Relationships
Students in 7th grade learn to compute unit rates with ratios of fractions, recognize proportional relationships, and use those relationships to solve multistep ratio and percent problems. These skills appear frequently on the MontCAS assessment and are essential for 8th grade algebra.
Rational Numbers
7th graders extend their understanding of addition, subtraction, multiplication, and division to include all rational numbers — positive, negative, and fractional. StudyPug breaks these operations down step by step with visual number line support and plenty of practice problems.
Expressions and Equations
Students apply properties of operations to add, subtract, factor, and expand linear expressions with rational coefficients. They also solve multi-step real-world problems and use variables to write and solve simple equations and inequalities.
Geometry
7th grade geometry covers scale drawings, constructing triangles, cross-sections of 3D figures, circle formulas, angle relationships, and area, volume, and surface area of composite figures. StudyPug's lessons walk through each formula and problem type clearly.
Statistics and Probability
Students learn how to use random samples to draw inferences about populations, compare two data distributions, and understand probability — including compound events using lists, tables, and tree diagrams. These topics are built into the Montana Math Content Standards for grade 7.
- Ratios, unit rates, and proportional relationships
- Operations with rational numbers
- Linear expressions and multi-step equations
- Geometry: circles, angles, scale drawings, and 3D figures
- Statistics: sampling, inference, and data comparison
- Probability: models, compound events, and simulations