Gizmos for Georgia - Mathematics: 7th Grade (Georgia Math Standards adopted 2021)

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

7.NR: : Numerical Reasoning – integers, percentages, fractions, decimal numbers

7.NR.1: : Solve relevant, mathematical problems, including multi-step problems, involving the four operations with rational numbers and quantities in any form (integers, percentages, fractions, and decimal numbers).

7.NR.1.1: : Show that a number and its opposite have a sum of 0 (are additive inverses). Describe situations in which opposite quantities combine to make 0.

7.NR.1.2: : Show and explain 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. Interpret sums of rational numbers by describing applicable situations.

7.NR.1.3: : Represent addition and subtraction with rational numbers on a horizontal or a vertical number line diagram to solve authentic problems.

7.NR.1.4: : Show and explain 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 contextual situations.

7.NR.1.5: : Apply properties of operations, including part-whole reasoning, as strategies to add and subtract rational numbers.

7.NR.1.10: : Convert rational numbers between forms to include fractions, decimal numbers and percentages, using understanding of the part divided by the whole. Know that the decimal form of a rational number terminates in 0s or eventually repeats.

7.NR.1.11: : Solve multi-step, contextual problems involving rational numbers, converting between forms as appropriate, and assessing the reasonableness of answers using mental computation and estimation strategies.

7.PAR: : Patterning & Algebraic Reasoning – linear expressions with rational coefficients, complex unit rates, proportional relationships

7.PAR.2: : Use properties of operations, generate equivalent expressions and interpret the expressions to explain relevant situations.

7.PAR.2.1: : Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.

7.PAR.3: : Represent authentic situations using equations and inequalities with variables; solve equations and inequalities symbolically, using the properties of equality.

7.PAR.3.1: : Construct algebraic equations to solve practical problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Interpret the solution based on the situation.

7.PAR.3.2: : Construct algebraic inequalities to solve problems, leading to inequalities of the form px ± q > r, px ± q

7.PAR.4: : Recognize proportional relationships in relevant, mathematical problems; represent, solve, and explain these relationships with tables, graphs, and equations.

7.PAR.4.2: : Determine the unit rate (constant of proportionality) in tables, graphs (1, r), equations, diagrams, and verbal descriptions of proportional relationships to solve realistic problems.

7.PAR.4.3: : Determine whether two quantities presented in authentic problems are in a proportional relationship.

7.PAR.4.4: : Identify, represent, and use proportional relationships.

7.PAR.4.5: : Use context to 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.PAR.4.6: : Solve everyday 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.PAR.4.7: : Use similar triangles to explain why the slope, m, is the same between any two distinct points on a nonvertical line in the coordinate plane.

7.PAR.4.8: : Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways.

7.PAR.4.9: : Use proportional relationships to solve multi-step ratio and percent problems presented in applicable situations.

7.PAR.4.10: : Predict characteristics of a population by examining the characteristics of a representative sample. Recognize the potential limitations and scope of the sample to the population.

7.PAR.4.11: : Analyze sampling methods and conclude that random sampling produces and supports valid inferences.

7.PAR.4.12: : Use data from repeated random samples to evaluate how much a sample mean is expected to vary from a population mean. Simulate multiple samples of the same size.

7.GSR: : Geometric & Spatial Reasoning – vertical, adjacent, complementary, and supplementary angles, circumference and area of circles, area and surface area, volume of cubes, right prisms, and cylinders

7.GSR.5: : Solve practical problems involving angle measurement, circles, area of circles, surface area of prisms and cylinders, and volume of cylinders and prisms composed of cubes and right prisms.

7.GSR.5.3: : Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve equations for an unknown angle in a figure.

7.GSR.5.4: : Explore and describe the relationship between pi, radius, diameter, circumference, and area of a circle to derive the formulas for the circumference and area of a circle.

7.GSR.5.5: : Given the formula for the area and circumference of a circle, solve problems that exist in everyday life.

7.GSR.5.6: : Solve realistic problems involving surface area of right prisms and cylinders.

7.GSR.5.8: : Explore volume as a measurable attribute of cylinders and right prisms. Find the volume of these geometric figures using concrete problems.

7.PR: : Probability Reasoning – likelihood, theoretical and experimental probability

7.PR.6: : Using mathematical reasoning, investigate chance processes and develop, evaluate, and use probability models to find probabilities of simple events presented in authentic situations.

7.PR.6.1: : Represent the probability of a chance event as a number between 0 and 1 that expresses the likelihood of the event occurring. Describe that 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.PR.6.2: : Approximate the probability of a chance event by collecting data on an event and observing its long-run relative frequency will approach the theoretical probability.

7.PR.6.3: : Develop a probability model and use it to find probabilities of simple events. Compare experimental and theoretical probabilities of events. If the probabilities are not close, explain possible sources of the discrepancy.

7.PR.6.4: : Develop a uniform probability model by assigning equal probability to all outcomes and use the model to determine probabilities of events.

7.PR.6.5: : Develop a probability model (which may not be uniform) by observing frequencies in data generated from a chance process.

7.PR.6.6: : Use appropriate graphical displays and numerical summaries from data distributions with categorical or quantitative (numerical) variables as probability models to draw informal inferences about two samples or populations.

Correlation last revised: 5/26/2022

Georgia - Mathematics: 7th Grade

Georgia Math Standards | Adopted: 2021

7.NR: : Numerical Reasoning – integers, percentages, fractions, decimal numbers

7.PAR: : Patterning & Algebraic Reasoning – linear expressions with rational coefficients, complex unit rates, proportional relationships

7.GSR: : Geometric & Spatial Reasoning – vertical, adjacent, complementary, and supplementary angles, circumference and area of circles, area and surface area, volume of cubes, right prisms, and cylinders

7.PR: : Probability Reasoning – likelihood, theoretical and experimental probability