7th Grade

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Calculate unit rates in real-world contexts that include complex fractions. 7.PR.1

Determine the unit rate (constant of proportionality 𝑦𝑦 = 𝑘𝑘𝑘𝑘) from tables, graphs, equations, diagrams, or verbal descriptions of proportional relationships.7.PR.2

Solve multi-step ratio and percent problems using proportional reasoning.7.PR.3

Determine whether two quantities are in a proportional relationship, by determining if each have a constant rate of change that starts at (0,0), using tables, graphs, equations, diagrams, and verbal descriptions.7.PR.4

Explain what a point (𝑥𝑥, 𝑦𝑦) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0,0) and (1, 𝑟𝑟) where 𝑟𝑟 is the unit rate. 7.PR.5

Write and solve equations (𝑦𝑦 = 𝑘𝑘𝑘𝑘 or 𝑦𝑦 = 𝑚𝑚𝑚𝑚 + 𝑏𝑏) to represent relationships between quantities. 7.A.1

Add, subtract, factor, and expand linear expressions with rational coefficients using multiple grouping symbols.7.A.2

Write and solve two-step equations in real-world and mathematical problems in the form of 𝑝𝑝𝑝𝑝 + 𝑞𝑞 = 𝑟𝑟 and 𝑝𝑝(𝑥𝑥 + 𝑞𝑞) = 𝑟𝑟 where 𝑝𝑝, 𝑞𝑞, and 𝑟𝑟 are specific rational numbers. 7.A.3

Write, solve, and graph two-step inequalities in real-world and mathematical problems in the forms of 𝑝𝑝𝑝𝑝 + 𝑞𝑞 > 𝑟𝑟, 𝑝𝑝𝑝𝑝 + 𝑞𝑞 ≥ 𝑟𝑟, 𝑝𝑝𝑝𝑝 + 𝑞𝑞 < 𝑟𝑟, and 𝑝𝑝𝑝𝑝 + 𝑞𝑞 ≤ 𝑟𝑟, where 𝑝𝑝, 𝑞𝑞, and 𝑟𝑟 are specific rational numbers.7.A.4

Use tables, graphs, and equations to distinguish between proportional and non-proportional relationships.7.A.5

Identify, describe, and draw elements of circles, including center, radius, and diameter.7.G.1

Use the constant ratio pi (𝜋𝜋 = 𝐶𝐶 𝑑𝑑 ) to calculate the circumference and area of a circle. 7.G.2

Use area (𝐴𝐴 = 𝜋𝜋𝑟𝑟2) and circumference (𝐶𝐶 = 2𝜋𝜋𝜋𝜋) formulas of a circle to solve real-world and mathematical problems.7.G.3

Solve real-world and mathematical problems involving area, volume and surface area of two and three-dimensional figures, as in plane sections of right rectangular prisms and right rectangular pyramids. 7.G.4

Describe the two-dimensional figure (cross section) that results from slicing a three-dimensional figure including right rectangular prisms, triangular prisms, pyramids and cylinders.7.G.5

Draw 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.7.G.6

Solve multi-step problems involving supplementary, complementary, vertical, and adjacent angles to include solving for an unknown angle in a figure.7.G.7

Calculate the scale factor, compute the actual lengths from the scale in a drawing, and reproduce a scale drawing using another scale. 7.M.1

Understand sampling to be a selection of a smaller group (sample) from a larger group (population).7.SP.1

Compare random and convenience sampling to determine if a sample is representative of a population.7.SP.2

Draw conclusions, such as mean, median, mode, and range of data, about a larger population using data from a representative sample.7.SP.3

Understand a sample space to be the set of all possible outcomes for a situation or experiment.7.SP.4

Understand probability as the likelihood or chance of an event occurring.7.SP.5

Recognize that probabilities in a simple experiment can be qualitative descriptors of likelihood: impossible (0), unlikely, neither likely nor unlikely, likely, or certain (1).  7.SP.6

Calculate the probability for a single event by dividing the number of favorable outcomes by the number of total outcomes.7.SP.7

Determine experimental probabilities in simple experiments and represent as fractions, decimals, and percents. 7.SP.8

 Use theoretical probability of an event in a simple experiment to predict the number of times that an event will occur for a large number of experiments.7.SP.9

Calculate the probability for a compound event using organized lists, tables, tree diagrams, and a simulation.7.SP.10