Connected Mathematics 3What is CMP?
The Connected Mathematics Project (CMP) was funded by the National Science Foundation to develop a complete middle school mathematics curriculum, Connected Mathematics, for students and teachers. CMP is a problemcentered curriculum promoting an inquirybased teachinglearning classroom environment. Mathematical ideas are identified and embedded in a sequenced set of tasks and explored in depth to allow students to develop rich mathematical understandings and meaningful skills. The Common Core State Standards for Mathematics (CCSSM) and the Standards for Mathematical Practice are embedded within each problem. The overarching goal of CMP is to help students and teachers develop mathematical knowledge, understanding, and skill along with an awareness of and appreciation for the rich connections among mathematical strands and between mathematics and other disciplines. The CMP curriculum development has been guided by our single mathematical standard: All students should be able to reason and communicate proficiently in mathematics. They should have knowledge of and skill in the use of the vocabulary, forms of representation, materials, tools, techniques, and intellectual methods of the discipline of mathematics, including the ability to define and solve problems with reason, insight, inventiveness, and technical proficiency. Grade 7
Key Common Core Standard in Major Cluster Common Core Standard in Supporting Cluster Common Core Standard in Additional Cluster Shapes and Designs: TwoDimensional GeometryThe Family of Polygons Common Core Standard in Additional Cluster7.G.2, 7.G.5 Designing Polygons: The Angle Connection Common Core Standard in Major Cluster7.EE.2, 7.EE.4 Common Core Standard in Additional Cluster7.G.2, 7.G.5 Designing Triangles and Quadrilaterals Common Core Standard in Major Cluster7.EE.4 Common Core Standard in Additional Cluster7.G.2, 7.G.5 Accentuate the Negative: Integers and Rational NumbersExtending the Number System Common Core Standard in Major Cluster7.NS.1, 7.NS.1a, 7.NS.3, 7.EE.4b Adding and Subtracting Rational Numbers Common Core Standard in Major Cluster7.NS.1, 7.NS.1b, 7.NS.1c, 7.NS.2, 7.NS.3 Multiplying and Dividing Rational Numbers Common Core Standard in Major Cluster7.NS.2, 7.NS.2a, 7.NS.2b, 7.NS.2c, 7.NS.3 Properties of Operations Common Core Standard in Major Cluster7.NS.1, 7.NS.1d, 7.NS.2, 7.NS.2a, 7.NS.2d, 7.NS.3 Stretching and Shrinking: Understanding SimilarityEnlarging and Reducing Shapes Common Core Standard in Major Cluster7.RP.2, 7.RP.2a Common Core Standard in Additional Cluster7.G.1 Similar Figures Common Core Standard in Major Cluster7.RP.2, 7.RP.2a, 7.RP.2b Common Core Standard in Additional Cluster7.G.1 Scaling Perimeter and Area Common Core Standard in Major Cluster7.RP.2, 7.RP.2b, 7.RP.3 Common Core Standard in Additional Cluster7.G.1, 7.G.2 Similarity and Ratios Common Core Standard in Major Cluster7.RP.2, 7.RP.2a, 7.EE.4, 7.NS.3 Common Core Standard in Additional Cluster7.G.1 Comparing and Scaling: Ratios, Rates, Percents, and ProportionsWays of Comparing: Ratios and Proportions Common Core Standard in Major Cluster7.RP.2, 7.RP.3 Comparing and Scaling Rates Common Core Standard in Major Cluster7.RP.1, 7.RP.2, 7.RP.2a, 7.RP.2b, 7.RP.2c, 7.RP.2d, 7.RP.3 Markups, Markdowns, and Measures: Using Ratios, Percents, and Proportions Common Core Standard in Major Cluster7.RP.2, 7.RP.2a, 7.RP.2c, 7.RP.3 Moving Straight Ahead: Linear RelationshipsWalking Rates Common Core Standard in Major Cluster7.EE.3, 7.EE.4, 7.EE.4a, 7.RP.2b, 7.RP.2c Exploring Linear Relationships With Graphs and Tables Common Core Standard in Major Cluster7.EE.3, 7.EE.4, 7.EE.4a, 7.RP.2d Solving Equations Common Core Standard in Major Cluster7.EE.2, 7.EE.4a, 7.EE.4b Exploring Slope: Connecting Rates and Ratios Common Core Standard in Major Cluster7.EE.1, 7.EE.2, 7.EE.4, 7.EE.4a What Do You Expect?: Probability and Expected ValueA First Look at Chance Common Core Standard in Major Cluster7.EE.3 Common Core Standard in Supporting Cluster7.SP.7a, 7.SP.7b, 7.Sp.8, 7.SP.8a, 7.SP.8b Experimental and Theoretical Probability Common Core Standard in Major Cluster7.EE.3 Common Core Standard in Supporting Cluster7.SP.5, 7.SP.6, 7.SP.7b, 7.SP.8, 7.SP.8a, 7.SP.8b, 7.SP.8c Making Decisions With Probability Common Core Standard in Major Cluster7.EE.3, 7.RP.3 Common Core Standard in Supporting Cluster7.SP.6, 7.SP.7, 7.SP.7a, 7.SP.7b, 7.SP.8b, 7.SP.8c Analyzing Compound Events Using an Area Model Common Core Standard in Major Cluster7.EE.3, 7.RP.3 Common Core Standard in Supporting Cluster7.SP.5, 7.Sp.7, 7.SP.7a, 7.SP.8a, 8.SP.8b, 7.SP.8c Binomial Outcomes Common Core Standard in Major Cluster7.EE.3, 7.RP.3 Filling and Wrapping: ThreeDimensional MeasurementBuilding Smart Boxes: Rectangular Prisms Common Core Standard in Additional Cluster7.G.6 Polygonal Prisms Common Core Standard in Major Cluster7.NS.3 Common Core Standard in Additional Cluster7.G.3, 7.G.6 Area and Circumference of Circles Common Core Standard in Major Cluster7.NS.3 Common Core Standard in Additional Cluster7.G.4 Cylinders, Cones, and Spheres Common Core Standard in Major Cluster7.NS.3 Common Core Standard in Additional Cluster7.G.4 Samples and Populations: Making Comparisons and PredictionsMaking Sense of Samples Choosing a Sample From a Population Common Core Standard in Supporting Cluster7.SP.1, 7.SP.2 Common Core Standard in Additional Cluster7.SP.3, 7.SP.4 Using Samples to Draw Conclusions Common Core Standard in Additional Cluster7.SP.3 
