Gizmos for Tennessee - Mathematics: 7th Grade (Academic Standards adopted 2016)

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

7.RP.A.2.c: : Represent proportional relationships by equations.

7.RP.A.2.d: : 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.1.a: : Describe situations in which opposite quantities combine to make 0.

7.NS.A.1.b: : 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.1.c: : 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.1.d: : 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.2.d: : Convert a rational number to a decimal using long division; know that the decimal form of a rational number terminates in 0s or eventually repeats.

7.NS.A.3: : Solve real-world and mathematical problems involving the four operations with rational numbers. (Computations with rational numbers extend the rules for manipulating fractions to complex fractions.)

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

7.EE.B.3.b: : 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.EE.B.4.a: : Solve contextual 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.4.b: : Solve contextual problems leading to inequalities of the form px + q > r or px + q

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 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 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.B: : Solve real-life 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; give an informal derivation of the relationship between the circumference and area of a circle.

7.G.B.5: : 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: : Statistics and Probability

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

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. Understand that random sampling tends to produce representative samples and support valid inferences.

7.SP.A.2: : 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 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: : Investigate chance processes and develop, use, and evaluate probability models.

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. Larger numbers indicate greater likelihood. A probability near 0 indicates an unlikely event, a probability around 1/2 indicates an event that is neither unlikely nor likely, and a probability near 1 indicates a likely event.

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.7.a: : Develop a uniform probability model by assigning equal probability to all outcomes, and use the model to determine probabilities of events.

7.SP.C.7.b: : Develop a probability model (which may not be uniform) by observing frequencies in data generated from a chance process.

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

7.SP.D.8: : Summarize numerical data sets in relation to their context.

7.SP.D.8.a: : 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.8.b: : Know and relate 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: 2/1/2022

Tennessee - Mathematics: 7th Grade

Academic Standards | Adopted: 2016

7.RP: : Ratios and Proportional Relationships

7.NS: : The Number System

7.EE: : Expressions and Equations

7.G: : Geometry

7.SP: : Statistics and Probability