The Common Core State Standards for Grade 7 math can be divided into various domains, each with specific standards and related deliverables. Here’s a table outlining these domains, standards, and deliverables:
| Domain | Standard | Deliverable |
|---|---|---|
| Ratios and Proportional relationships | Analyze proportional relationships and use them to solve real-world and mathematical problems | – Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. |
| – Recognize and represent proportional relationships between quantities. | ||
| – Use proportional relationships to solve multistep ratio and percent problems. | ||
| The Number System | Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers. | – 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. |
| – Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers. | ||
| Solve real-world and mathematical problems involving the four operations with rational numbers | ||
| Expressions and equations | Use properties of operations to generate equivalent expressions. | – Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients. |
| – 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. | ||
| Solve real-life and mathematical problems using numerical and algebraic expressions and equations | – Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. | |
| – 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. | ||
| Geometry | Draw, construct, and describe geometrical figures and describe the relationships between them. | – 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. |
| – Draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions. Focus on constructing triangles from three measures of angles or side. | ||
| – Describe the two-dimensional figures that result from slicing three-dimensional figures, as in plane sections of right rectangular prisms and right rectangular pyramids. | ||
| Solve real-life and mathematical problems involving angle measure, area, surface area, and volume | 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. | |
| 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. | ||
| 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. | ||
| Statistics and Probability | Use random sampling to draw inferences about a population | – Understand that statistics can be used to gain information about a population by examining a sample of the population. |
| – Use data from a random sample to draw inferences about a population with an unknown characteristic of interest. Generate multiple samples (or simulated samples) of the same size to gauge the variation in estimates or predictions. | ||
| Draw informal comparative inferences about two populations | – 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. | |
| – Use measures of center and measures of variability for numerical data from random samples to draw informal comparative inferences about two populations. | ||
| Investigate chance processes and develop, use, and evaluate probability models | – Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring. Larger numbers indicate greater likelihood. | |
| – 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. | ||
| – Develop a probability model and use it to find probabilities of events. Compare probabilities from a model to observed frequencies. | ||
| – Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation. |
This table provides an overview of the Common Core framework for Grade 7 math and the expected deliverables for each standard. Note that specific details and additional sub-points may vary depending on the curriculum and resources provided by each state or school district.
Last Updated: March 2023