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7th grade Core Curriculum Pacing Revised 9/11/12 Please consult the unpacking documents for a detailed explanation of each standard. Domains Standards 1st Quarter Unit 1: The Number System(4 weeks - Review and Assess Throughout Unit) Unit Pre-Assessment 7.NS.1, NS.3: Add and subtract integers include problem solving 7.NS.1, NS.3: Add and subtract rational numbers (fractions and decimals) include problem solving 7.NS.2, NS.3: Rational numbers, integers (multiplication and division, including problem solving) Unit Assessment/Benchmark Unit 2: Expressions and Equations (7 weeks Review and Assess Throughout Unit) Unit Pre-Assessment 7.EE.1: Apply properties of operations to add, subtract, factor and expand linear expressions with rational coefficients. (coefficient, constant, like terms, simplify expressions, distributive property) 7.EE.2: Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related. 7.EE.3: Solving Multiplication and Division Equations with rational numbers included in real-life mathematical problems 7.EE.3: Solving Two-Step Equations with rational numbers included in real-life mathematical problems Unit Assessment/Benchmark 2nd Quarter 7.EE.4a: Set up from a model and solve multi-step equations 7.EE. 4b: Solve and graph inequalities from context (including negative coefficients) Unit Assessment/Benchmark Unit 3: Ratios and Proportional Relationships(9 weeks - Review and Assess Throughout Unit) Unit Pre-Assessment 7.RP.1: Ratios and computing unit rates associating with fractions including ratios of lengths, area, and other quantities with like or different units. 7.RP.2: Recognize and represent proportional relationships between quantities. a. Determine if two quantities are proportional including ratio in a table or graphing on a coordinate plane. 7.RP.2b: Identify the unit rate in tables, graphs, equations, diagrams, verbal descriptions of proportional relationships. 7.RP.2c: Represent proportional relationship by equation 7.RP.3; Use proportional relationships to solve multistep problems. 3rd Quarter 7.G.1: Solve problems involving scale drawing of geometric figures. Compute, actual lengths and areas from a scale drawing. Reproduce a scale drawing at a different scale. Unit Assessment/Benchmark Unit 4: Geometry (9 weeks - Review and Assess Throughout Unit) Unit Pre-Assessment 7.G.5: Use facts about supplementary, complementary, vertical and adjacent angles in a multi step problem to write and solve equations for an unknown angle in a figure. 7.G.4: Know the formulas for area and circumference of a circle. Use these formulas to solve problems. Illustrate the relationship between the circumference and area of a circle. 7.G.2: Draw geometric shapes using a ruler and protractor, technology, and freehand when given specific conditions. Focus on constructing triangles from three measures, angles or sides. Notice conditions that determine a unique triangle, more than one triangle or no triangle. 7.G.6: Solve real world and mathematical problems involving area, volume, and surface area of two- and three- dimensional objects, this includes triangles, quadrilaterals, composite shapes, cubes and right prisms. 4th Quarter 7.G.3: Describe the two-dimensional figures that result from slicing three dimensional figures from parallel and perpendicular cuts to the bases of right rectangular prisms and right pyramids. Unit Assessment/Benchmark Unit 5: Statistics and Probability (4 weeks - Review and Assess Throughout Unit) Unit Pre-Assessment 7.SP.3: Compare two data sets with a full understanding of the data, with consideration of the measures of variability, mean or median. 7.SP.4: Compare data sets using mean, median, variability (MAD-mean absolute deviation), and Interquartile range. 7.SP.1: Use a representative sample of a population to draw inferences about the entire population. 7.SP.2: Use data from multiple samples to draw inferences about the entire population, addressing the issues of variation in these samples. 7.SP.5: Understand that probability of a chance event is a number between 0 and 1 that expresses the likelihood that an event will occur. 7.SP.6: Collect data from a probability experiment recognizing that as the number of trials increase, the experimental probability approaches the theoretical probability. 7.SP.7: Develop a probability model to conduct an experiment with simple probability events, understanding that the experimental data give realistic estimates of the probability of an event but affected by sample size. 7.SP.8: Find probabilities of compound events using organized lists, tables, tree diagrams and simulation. Unit Assessment/Benchmark End of Year Testing (2 weeks) Cumulative Review and Testing