Gizmos for Tennessee - Mathematics: 7th Grade (Academic Standards adopted 2021)

This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below for more information.

7.RP: : Ratios and Proportional Relationships

7.RP.A: : Analyze proportional relationships and use them to solve real-world and mathematical problems.

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.2a: : Decide whether two quantities are in a proportional relationship (e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin).

7.RP.A.2b: : Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.

7.RP.A.2c: : Use the concept of equality to represent proportional relationships with equations.

7.RP.A.2d: : Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate.

7.RP.A.3: : Use proportional relationships to solve multi-step ratio and percent problems.

7.NS: : The Number System

7.NS.A: : Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.

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.1a: : Understand p + q as the number located a distance |q| from p, in the positive or negative direction depending on whether q is positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses). Interpret sums of rational numbers by describing real-world contexts.

7.NS.A.1b: : Understand subtraction of rational numbers as adding the additive inverse, p – q = p + (–q). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts.

7.NS.A.1c: : Apply properties of operations as strategies to add and subtract rational numbers.

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.2d: : Convert a rational number to a decimal using long division; know that the decimal form of a rational number terminates or eventually repeats.

7.NS.A.3: : Solve real-world and mathematical problems involving the four operations with rational numbers.

7.EE: : Expressions and Equations

7.EE.A: : Use properties of operations to generate equivalent expressions.

7.EE.A.1: : Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.

7.EE.B: : Solve real-world and mathematical problems using numerical and algebraic expressions and equations and inequalities.

7.EE.B.3: : Solve multi-step real-world and mathematical problems posed with positive and negative rational numbers presented in any form (whole numbers, fractions, and decimals).

7.EE.B.3a: : Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate.

7.EE.B.3b: : Assess the reasonableness of answers using mental computation and estimation strategies.

7.EE.B.4: : Use variables to represent quantities in a real-world and mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.

7.EE.B.4a: : Solve real-world and mathematical problems leading to equations of the form px + q = r and p(x + q) = r where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach.

7.EE.B.4b: : Solve real-world and mathematical problems leading to inequalities of the form px + q > r, px + q < r, px + q is greater than or equal to r, and px + q is less than or equal to r, where p, q, and r are specific rational numbers. Graph the solution set of the inequality on a number line and interpret it in the context of the problem.

7.G: : Geometry

7.G.A: : Draw, construct, and describe geometrical figures and describe the relationships between them.

7.G.A.1: : Solve problems involving scale drawings of congruent and similar 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 triangles with given conditions: three angle measures or three side measures. Notice when the conditions determine a unique triangle, more than one triangle, or no triangle.

7.G.B: : Solve real-world and mathematical problems involving angle measure, area, surface area, and volume.

7.G.B.3: : Know the formulas for the area and circumference of a circle and use them to solve problems. Explore the relationships between the radius, the circumference, and the area of a circle, and the number pi.

7.G.B.4: : Know and 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.5: : Solve real-world and mathematical problems involving area of two-dimensional figures composed of triangles, quadrilaterals, and polygons, and volume and surface area of three-dimensional objects composed of cubes and right prisms.

7.SP: : Statistics and Probability

7.SP.A: : Use random sampling to draw inferences about a population.

7.SP.A.1: : Explore how 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. Understand that random sampling tends to produce representative samples and support valid inferences.

7.SP.A.2: : Collect and 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.

7.SP.B: : Draw informal comparative inferences about two populations.

7.SP.B.3: : Informally compare the measures of center (mean, median, mode) of two numerical data distributions with similar variabilities.

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: : Investigate chance processes and develop, use, and evaluate probability models.

7.SP.C.5: : Recognize that the probability of a chance event is a number between 0 and 1 and interpret the likelihood of the event occurring.

7.SP.C.6: : Calculate theoretical and experimental probability of simple events.

7.SP.C.6a: : 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.6b: : Calculate the theoretical probability of a simple event.

7.SP.C.6c: : Compare theoretical probabilities to experimental probabilities; explain any possible sources of discrepancy.

7.SP.C.7: : Develop a probability model and use it to find experimental or theoretical probabilities of events.

7.SP.C.7a: : Use a uniform probability model, with equal probability assigned to all outcomes, to determine probabilities of events.

7.SP.C.7b: : Develop a probability model, including non-uniform models, by observing frequencies in data generated from a chance process. Use the model to estimate the probabilities of events.

7.SP.D: : Summarize and describe numerical data sets.

7.SP.D.8: : Summarize a numerical data set in relation to its context.

7.SP.D.8a: : Give quantitative measures of center (median and/or mean) and variability (range and/or interquartile range), as well as describe any overall pattern and any striking deviations from the overall pattern with reference to the context in which the data were gathered.

7.SP.D.8b: : Relate and understand the choice of measures of center (median and/or mean) and variability (range and/or interquartile range) to the shape of the data distribution and the context in which the data were gathered.

Correlation last revised: 4/17/2023

Tennessee - Mathematics: 7th Grade

Academic Standards | Adopted: 2021

7.RP: : Ratios and Proportional Relationships

7.NS: : The Number System

7.EE: : Expressions and Equations

7.G: : Geometry

7.SP: : Statistics and Probability