Skill plan for the Michigan Student Test of Educational Progress - 7th grade
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Claim
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Claim 1
Concepts and Procedures
Developing understanding of and applying proportional relationships
Target A: Analyze proportional relationships and use them to solve real?world and mathematical problems.
Target A: Analyze proportional relationships and use them to solve real?world and mathematical problems.
Developing understanding of operations with rational numbers and working with expressions and linear equations
Target B: Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.
Target B: Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.
Target C: Use properties of operations to generate equivalent expressions.
Target C: Use properties of operations to generate equivalent expressions.
Target D: Solve real?life and mathematical problems using numerical and algebraic expressions and equations.
Target D: Solve real?life and mathematical problems using numerical and algebraic expressions and equations.
Solving problems involving scale drawings and informal geometric constructions, and working with two and three-dimensional shapes to solve problems involving area, surface area, and volume
Target E: Draw, construct, and describe geometrical figures and describe the relationships between them.
Target E: Draw, construct, and describe geometrical figures and describe the relationships between them.
Target F: Solve real?life mathematical problem involving angle measure, area, surface area, and volume.
Target F: Solve real?life mathematical problem involving angle measure, area, surface area, and volume.
Drawing inferences about populations based on samples
Target G: Use random sampling to draw inferences about a population.
Target G: Use random sampling to draw inferences about a population.
Target H: Draw informal comparative inferences about two populations.
Target H: Draw informal comparative inferences about two populations.
Target I: Investigate chance processes and develop, use, and evaluate probability models.
Target I: Investigate chance processes and develop, use, and evaluate probability models.
Claim 2
Problem Solving
Target A: Apply mathematics to solve well-posed problems in pure mathematics and arising in everyday life, society, and the workplace.
Target A: Apply mathematics to solve well-posed problems in pure mathematics and arising in everyday life, society, and the workplace.
Target B: Select and use appropriate tools strategically.
Target B: Select and use appropriate tools strategically.
Target C: Interpret results in the context of a situation.
Target C: Interpret results in the context of a situation.
Target D: Identify important quantities in a practical situation and map their relationships (e.g., using diagrams, two?way tables, graphs, flowcharts, or formulas).
Target D: Identify important quantities in a practical situation and map their relationships (e.g., using diagrams, two?way tables, graphs, flowcharts, or formulas).
Claim 3
Communicating Reasoning
Target A: Test propositions or conjectures with specific examples.
Target A: Test propositions or conjectures with specific examples.
Target B: Construct, autonomously, chains of reasoning that will justify or refute propositions or conjectures.
Target B: Construct, autonomously, chains of reasoning that will justify or refute propositions or conjectures.
Target C: State logical assumptions being used.
Target C: State logical assumptions being used.
Target D: Use the technique of breaking an argument into cases.
Target D: Use the technique of breaking an argument into cases.
Target E: Distinguish correct logic or reasoning from that which is flawed and?if there is a flaw in the argument?explain what it is.
Target E: Distinguish correct logic or reasoning from that which is flawed and?if there is a flaw in the argument?explain what it is.
Target F: Base arguments on concrete referents such as objects, drawings, diagrams, and actions.
Target F: Base arguments on concrete referents such as objects, drawings, diagrams, and actions.
Target G: At later grades, determine conditions under which an argument does and does not apply. (For example, area increases with perimeter for squares, but not for all plane figures.)
Target G: At later grades, determine conditions under which an argument does and does not apply. (For example, area increases with perimeter for squares, but not for all plane figures.)
Claim 4
Modeling and Data Analysis
Target A: Apply mathematics to solve problems arising in everyday life, society, and the workplace.
Target A: Apply mathematics to solve problems arising in everyday life, society, and the workplace.
Target B: Construct, autonomously, chains of reasoning to justify mathematical models used, interpretations made, and solutions proposed for a complex problem.
Target B: Construct, autonomously, chains of reasoning to justify mathematical models used, interpretations made, and solutions proposed for a complex problem.
Target C: State logical assumptions being used.
Target C: State logical assumptions being used.
Target D: Interpret results in the context of a situation.
Target D: Interpret results in the context of a situation.
Target E: Analyze the adequacy of and make improvements to an existing model or develop a mathematical model of a real phenomenon.
Target E: Analyze the adequacy of and make improvements to an existing model or develop a mathematical model of a real phenomenon.
Target F: Identify important quantities in a practical situation and map their relationships (e.g., using diagrams, two-way tables, graphs, flowcharts, or formulas).
Target F: Identify important quantities in a practical situation and map their relationships (e.g., using diagrams, two-way tables, graphs, flowcharts, or formulas).
Target G (performance task only): Identify, analyze and synthesize relevant external resources to pose or solve problems.
Target G (performance task only): Identify, analyze and synthesize relevant external resources to pose or solve problems.
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