2013-2014 Math Grade 7.pdf

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7.4.2 Understand that transformations such as slides, turns, and flips preserve the length of segments, and that figures resulting from slides, turns, and flips are congruent* to the original figures. 7.5.1 Compare lengths, areas, volumes, weights, capacities, times, and temperatures within measurement systems. X 7.5.2 Use experimentation and modeling to visualize similarity problems. Solve problems using similarity. X 7.5.3 Read and create drawings made to scale, construct scale models, and solve problems related to scale. X 7.5.4 Use formulas for finding the perimeter and area of basic two-dimensional shapes and the surface area and volume of basic three-dimensional shapes, including rectangles, parallelograms*, trapezoids*, triangles, circles, right prisms*, and cylinders. X X 7.5.5 Estimate and compute the area of more complex or irregular two-dimensional shapes by dividing them into more basic shapes. X X Statistics and Probability S Use random sampling to draw inferences about a population. Understand that statistics can be used to gain information about a population by examining a sample of the population; 7.SP.1 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. Use data from a random sample to draw inferences about a population with an unknown characteristic of interest. 7.SP.2 Generate multiple samples (or simulated samples) of the same size to gauge the variation in estimates or predictions. 7.6.2 Make predictions from statistical data. A Draw informal comparative inferences about two populations. Informally assess the degree of visual overlap of two numerical data distributions with similar variabilities, measuring 7.SP.3 the difference between the centers by expressing it as a multiple of a measure of variability. Use measures of center and measures of variability for numerical data from random samples to draw informal 7.SP.4 comparative inferences about two populations. S Investigate chance processes and develop, use, and evaluate probability models. 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 7.SP.5 around 1/2 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.6 7.SP.7 7.SP.8 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. 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. a. Develop a uniform probability model by assigning equal probability to all outcomes, and use the model to determine probabilities of events. b. Develop a probability model (which may not be uniform) by observing frequencies in data generated from a chance process. Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation. a. 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. b. 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. 2013-2014 7th Grade Math Page 4 of 5 8/6/2013
c. Design and use a simulation to generate frequencies for compound events. 7.6.7 Find the number of possible arrangements of several objects using a tree diagram. 7.6.1 Analyze, interpret, and display data in appropriate bar, line, and circle graphs and stem-and-leaf plots* and justify the choice of display. 7.6.5 Know that if P is the probability of an event occurring, then 1 – P is the probability of that event not occurring. 7.6.6 Understand that the probability of either one or the other of two disjoint events occurring is the sum of the two individual probabilities. (7.6.4) (Analyze data displays, including ways that they can be misleading. Analyze ways in which the wording of questions can influence survey results.) 2013-2014 7th Grade Math Page 5 of 5 8/6/2013
Page 1 and 2: RCS 7th Grade Mathematics Curriculu
Page 3: 7.EE.4 Use variables to represent q

2013-2014 Math Grade 7.pdf

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