Standard 8: Mathematical Reasoning and Problem SolvingArchived

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In a general sense, mathematics is problem solving. In all mathematics, use problem-solving skills, choose how to approach a problem, explain the reasoning, and check the results. At this level, apply these skills to making conjectures, using axioms and theorems, constructing logical arguments, and writing geometric proofs. Learn about inductive and deductive reasoning and how to use counterexamples to show that a general statement is false.
General Information
Number: MA.912.G.8
Title: Mathematical Reasoning and Problem Solving
Type: Standard
Subject: X-Mathematics (former standards - 2008) - Archived
Grade: 912
Body of Knowledge: Geometry

Related Benchmarks

This cluster includes the following benchmarks.

Related Access Points

This cluster includes the following access points.

Independent

MA.912.G.8.In.a
Use problem-solving strategies, including visual and physical models and tools, for solving real-world problems involving geometry concepts and skills.
MA.912.G.8.In.b
Use estimation and resources to determine if solutions to problems involving geometry concepts and skills are reasonable.

Supported

MA.912.G.8.Su.b
Use given problem-strategies, including using visual or physical models, for solving real-world problems involving geometry concepts and skills.
MA.912.G.8.Su.a
Use resources, such as calculators and conversion charts to verify accuracy of solutions to problems involving geometry concepts.

Participatory

MA.912.G.8.Pa.a
Solve real-world problems involving objects with two- and three-dimensional shapes and match the result to the correct answer to determine accuracy.

Related Resources

Vetted resources educators can use to teach the concepts and skills in this topic.

Lesson Plan

Determination of the Optimal Point:

Students will use dynamic geometry software to determine the optimal location for a facility under a variety of scenarios. The experiments will suggest a relation between the optimal point and a common concept in geometry; in some cases, there will be a connection to a statistical concept. Algebra can be used to verify some of the conjectures.

Type: Lesson Plan

Unit/Lesson Sequence

Variables and Patterns of Change: Translating Words Into Symbols; Linear Equations:

Lesson Plan 1: Miles of Tiles - The Pool Border Problem, students will recognize patterns and represent situations using algebraic notation and variables. Lesson Plan 2: Cups and Chips - Solving Linear Equations Using Manipulatives, students use manipulatives to represent visually the steps they take to obtain a solution to an algebraic equation. They develop an understanding of the connections between the solution involving manipulatives and the symbolic solution. Students work in teams of four. Site includes a Topic Overview, Lesson Plans, Student Work, Teaching Strategies, Resources, and a video of Workshop 1; Part 1.

Type: Unit/Lesson Sequence

Student Resources

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Parent Resources

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