# CCGPS Curriculum Map. Mathematics. 7 th Grade

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1 CCGPS Curriculum Map Mathematics 7 th Grade These materials are for nonprofit educational purposes only. Any other use may constitute copyright infringement.

2 Unit 1 Operations with Rational Numbers a b c d a b c d Common Core Georgia Performance Standards Seventh Grade At a Glance Common Core Georgia Performance Standards: Curriculum Map 1 st Semester 2 nd Semester Unit 2 Expressions & Equations MCC7.EE.1 MCC7.EE.2 MCC7.EE.3 MCC7.EE.4a MCC7.EE.4b Unit 3 Ratios and Proportional Relationships MCC7.RP.1 MCC7.RP.2a MCC7.RP.2b MCC7.RP.2c MCC7.RP.2d MCC7.RP.3 MCC7.G.1 MCC7.EE.3 Unit 4 Unit 5 Unit 6 (3 4 weeks) Unit 7 (3 4 weeks) Inferences Geometry Probability Show What We Know MCC7.SP.1 MCC7.SP.2 MCC7.SP.3 MCC7.SP.4 Incorporated Standards MCC7.G.2 MCC7.G.3 MCC7.G.4 MCC7.G.5 MCC7.G.6 MCC7.G.1 MCC7.SP.5 MCC7.SP.6 MCC7.SP.7a MCC7.SP.7b MCC7.SP.8a MCC7.SP.8b MCC7.SP.8c ALL These units were written to build upon concepts from prior units, so later units contain tasks that depend upon the concepts addressed in earlier units. All units will include the Mathematical Practices and indicate skills to maintain. NOTE: Mathematical standards are interwoven and should be addressed throughout the year in as many different units and tasks as possible in order to stress the natural connections that exist among mathematical topics. Grades 6-8 Key: NS = The Number System, RP = Ratios and Proportional Relationships, EE = Expressions and Equations, G = Geometry, SP = Statistics and Probability

4 b Understand that integers can be divided, provided that the divisor is not zero, and every quotient of integers (with non-zero divisor) is a rational number. If p and q are integers then (p/q) = ( p)/q = p/( q). Interpret quotients of rational numbers by describing real-world contexts. c Apply properties of operations as strategies to multiply and divide rational numbers. 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. Solve real-world and mathematical problems involving the four operations with rational numbers. Incorporated Standards MCC7.EE.3

5 1 Make sense of problems and persevere in solving them. 2 Reason abstractly and quantitatively. 3 Construct viable arguments and critique the reasoning of others. 4 Model with mathematics. Common Core Georgia Performance Standards Seventh Grade 2 nd Semester Common Core Georgia Performance Standards: Curriculum Map Standards for Mathematical Practice 5 Use appropriate tools strategically. 6 Attend to precision. 7 Look for and make use of structure. 8 Look for and express regularity in repeated reasoning. 2 nd Semester Unit 4 Unit 5 Unit 6 Unit 7 Inferences Geometry Probability Show What We Know Use random sampling to draw inferences about a population. MCC7.SP.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. MCC7.SP.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 Draw informal comparative inferences about two populations. MCC7.SP.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. MCC7.SP.4 Use measures of center and measures of variability for numerical data from random samples to draw informal comparative inferences about two populations. Draw, construct, and describe geometrical figures and describe the relationships between them. MCC7.G.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. MCC7.G.3 Describe the two-dimensional figures that result from slicing threedimensional 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. MCC7.G.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. MCC7.G.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. MCC7.G.6 Solve real-world and mathematical problems involving area, volume and surface area of two- and three- Investigate chance processes and develop, use, and evaluate probability models. MCC7.SP.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. MCC7.SP.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. MCC7.SP.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. MCC7.SP.7a Develop a uniform probability model by assigning equal probability to all outcomes, and use the model to determine probabilities of events MCC7.SP.7b Develop a probability model (which may not be uniform) by observing frequencies in data generated from a chance process. MCC7.SP.8 Find probabilities of compound ALL

6 dimensional objects composed of triangles, events using organized lists, tables, tree quadrilaterals, polygons, cubes, and right diagrams, and simulation. prisms. MCC7.SP.8a Understand that, just as with simple events, the probability of a compound event is the fraction of outcomes in the sample space for which the compound event occurs. MCC7.SP.8b Represent sample spaces for compound events using methods such as organized lists, tables and tree diagrams. For an event described in everyday language (e.g., rolling double sixes ), identify the outcomes in the sample space which compose the event. MCC7.SP.8c Design and use a simulation to generate frequencies for compound events. Incorporated Standards MCC7.G.1

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