In
Mathematics, seventh-graders will:
Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients. (EE.A.1)
Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies. (EE.B.3)
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. (G.A.1)
Describe the two-dimensional figures that result from slicing three-dimensional figures, as in plane sections of right rectangular prisms and right rectangular pyramids. (G.A.3)
Know the formulas for the area and circumference of a circle and use them to solve problems. (G.B.4)
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. (G.B.5)
Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. (RP.A.1)
Recognize and represent proportional relationships between quantities. (RP.A.2)
Use proportional relationships to solve multistep ratio and percent problems. (RP.A.3)
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. (SP.A.1)
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. (SP.B.3)
Use measures of center and measures of variability for numerical data from random samples to draw informal comparative inferences about two populations. (SP.B.4)
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. (SP.C.5)
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. (SP.C.6)
Develop a probability model and use it to find probabilities of events. Compare probabilities from a model to observed frequencies. (SP.C.7)
Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation. (SP.C.8)
Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; and multiplication and division and of fractions to multiply and divide rational numbers. (NS.A.1/NS.A.2)