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Transcript
Minnesota 7th Grade MTAS 2007 Math Strands & Extended Standards STRAND EXTENDED STANDARD 7.1.1 Read, represent & compare integers. 7.1 Number & 7.1.2 Calculate with positive and negative rational numbers to Operation solve real-world & mathematical problems. (1-2 tasks) 7.2 Algebra (3-4 tasks) 7.3 Geometry & Measurement 7.2.2 Recognize proportional relationships in real-world and mathematical situations; represent these and other relationships with tables, verbal descriptions and graphs; solve problems involving proportional relationships. 7.2.4 Represent real-world and mathematical situations using equations with variables & positive integers. Solve equations graphically, numerically & using the properties of equality. 7.3.2 Analyze the effect of change of scale, translations & reflections on the attributes of 2-dimensional figures. (1-2 tasks) 7.4 Data Analysis 7.4.3 Calculate probabilities and reason about probabilities using proportions to solve real-world and mathematical problems. (1-2 tasks) Christy Hemp, SW/WC Service Cooperative, Marshall, MN—June 2011 Christy Hemp, SW/WC Service Cooperative, Marshall, MN—June 2011 7th Grade—Number & Operation Strand 2007 MN Math Extended Standard to Extended Benchmarks with Vocabulary & Symbols from MTAS Draft Test Specifications (1-2 tasks) EXTENDED STANDARD 7.1.1 Read, represent & compare integers. EXTENDED BENCHMARK VOCABULARY opposite coordinate plot 7.1.1.3 Locate integers on a number line & a coordinate grid; understand the concept of opposites. (0-1 tasks) Integers are limited to 1 digit 7.1.2.1 Add, subtract, multiply & divide positive & negative rational numbers that are integers, fractions & terminating decimals. 7.1.2 Calculate with positive & negative rational numbers to solve real-world & mathematical problems. (0-1 tasks) simple interest compound interest proportion positive negative numerator denominator decimal Items must not have context Denominators in fractions are limited to 2, 3, 4, 5, 6, 8 & 10 7.1.2.4 Solve various problems in various contexts involving calculations with positive & negative rational numbers. Denominators in fractions are limited to 2, 3, 4, 5, 6, 8 & 10 7.1.2.5 Use proportional reasoning to solve problems involving ratios in various contexts. Denominators in fractions are limited to 2, 3, 4, 5, 6, 8 & 10 Christy Hemp, SW/WC Service Cooperative, Marshall, MN—June 2011 Christy Hemp, SW/WC Service Cooperative, Marshall, MN—June 2011 7th Grade—Algebra Strand 2007 MN Math Extended Standard to Extended Benchmarks with Vocabulary & Symbols from MTAS Draft Test Specifications (2-3 tasks) EXTENDED STANDARD 7.2.2 Recognize proportional relationships in real-world & mathematical situations; represent these & other relationships with tables, verbal descriptions & graphs; solve problems involving proportional relationships. (1-2 tasks) EXTENDED BENCHMARK VOCABULARY 7.2.2.1 Identify proportional relationships represented in tables, verbal descriptions, equations & graphs; translate from 1 representation to another. Determine the unit rate (constant of proportionality or slope) given any of these representations. Contexts may include (but are not limited to) discounts, tax, similar geometric figures & conversions Equations & inequalities are limited to 1 variable All values, including variables, are whole numbers 7.2.2.2 Solve problems involving proportional relationships in familiar contexts. proportional origin slope inequality equation represent equivalent variable Contexts may include (but are not limited to) discounts, tax, similar geometric figures & conversions Equations & inequalities are limited to 1 variable All values, including variables, are whole numbers 7.2.2.4 Represent real-world or mathematical situations using equations & inequalities involving variables. Contexts may include (but are not limited to) discounts, tax, similar Christy Hemp, SW/WC Service Cooperative, Marshall, MN—June 2011 Represent realworld & mathematical situations using equations with variables & positive integers. Solve equations graphically, numerically & using the properties of equality. (1-2 tasks) geometric figures & conversions Equations & inequalities are limited to 1 variable All values, including variables, are whole numbers 7.2.4.1 Represent relationships with equations involving variables & positive integers. Use the properties of equality to solve for the value of a variable. solve variable represent value equivalent proportional equation Multiplication is not required Equations are limited to 1 variable 7.2.4.2 Solve equations resulting from proportional relationships in familiar contexts. Must use multiplication Equations are limited to 1 variable Christy Hemp, SW/WC Service Cooperative, Marshall, MN—June 2011 7th Grade—Geometry & Measurement Strand 2007 MN Math Extended Standard to Extended Benchmarks with Vocabulary & Symbols from MTAS Draft Test Specifications (1-2 tasks) EXTENDED STANDARD 7.3.2 Analyze the effect of change of scale, translations and reflections on the attributes of 2-dimensional figures. (1-2 tasks) EXTENDED BENCHMARK VOCABULARY 7.3.2.3 Use proportions & ratios to solve problems involving scale drawings & models & conversions of measurement units. Conversions are limited to no more than 2 per item Tasks may use models 7.3.2.4 Identify translations & reflections of figures on a coordinate grid, & determine the coordinates of the vertices of the figure after the transformation similar corresponding scale drawing transformation reflection grid Images may be reflected over only vertical or horizontal lines Tasks may use models Include manipulatives for coordinate grid tasks Christy Hemp, SW/WC Service Cooperative, Marshall, MN—June 2011 Christy Hemp, SW/WC Service Cooperative, Marshall, MN—June 2011 7th Grade—Data Analysis & Probability Strand 2007 MN Math Extended Standard to Extended Benchmarks with Vocabulary & Symbols from MTAS Draft Test Specifications (1-2 tasks) EXTENDED STANDARD 7.4.3 Calculate probabilities and reason about probabilities using proportions to solve realworld and mathematical problems. EXTENDED BENCHMARK VOCABULARY 7.4.3.2 Calculate probability as a fraction of the set of possible outcomes or as a fraction of area. frequency predict probability outcome likely combination spinner number cube Size of the set of possible outcomes is limited to 12 when the task requires listing possible outcomes 7.4.3.3 Use proportional reasoning to draw conclusions about & predict relative frequencies of outcomes based on probabilities. The total of relative frequencies is limited to 30 (1-2 tasks) Christy Hemp, SW/WC Service Cooperative, Marshall, MN—June 2011