IdahoIdaho 7th Grade Math Curriculum
Video lessons and practice for every 7th grade math topic. Aligned to Idaho Content Standards Math so your child keeps up with class.
Idaho 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. |
Idaho 7th Grade Math: Topics and Standards
Idaho 7th grade math is built on the Idaho Content Standards for Math. Students move through five major areas: ratios and proportional relationships, the number system, expressions and equations, geometry, and statistics and probability. Each area connects directly to what Idaho schools teach and what the ISAT measures in Grade 7.
Ratios and Proportional Relationships
Students start by computing unit rates with ratios of fractions, then move to recognizing and representing proportional relationships. They use these skills to solve multi-step ratio and percent problems in real-world contexts — from discounts and tax to scale drawings and maps.
The Number System: Rational Numbers
7th grade extends number work to all rational numbers. Students add, subtract, multiply, and divide positive and negative fractions and decimals. They represent these operations on number lines and apply all four operations to solve real-world problems, checking answers with estimation strategies.
Expressions and Equations
Students apply properties of operations to add, subtract, factor, and expand linear expressions with rational coefficients. They rewrite expressions to reveal relationships between quantities, then build and solve simple equations and inequalities to model real-world situations.
Geometry
Geometry in 7th grade covers scale drawings, constructing triangles from angle and side conditions, cross-sections of 3D figures, circle area and circumference, angle relationships (supplementary, complementary, vertical, adjacent), and surface area and volume of composite figures.
Statistics and Probability
Students learn how random samples represent populations and use sample data to draw inferences. They compare two data distributions using measures of center and variability, then explore probability — from simple events to compound events using organized lists, tables, and tree diagrams.
- Ratios, unit rates, and proportional relationships
- Adding, subtracting, multiplying, and dividing rational numbers
- Linear expressions and equations with rational coefficients
- Scale drawings, triangle construction, and circle formulas
- Statistics, random sampling, and compound probability
StudyPug covers every one of these topics with video lessons and practice problems aligned to what Idaho 7th graders are expected to know.