Standard 5 : Mathematical Reasoning and Problem Solving (Archived)



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Use a variety of strategies to solve problems. Develop and evaluate mathematical arguments and proofs.

General Information

Number: MA.912.T.5
Title: Mathematical Reasoning and Problem Solving
Type: Standard
Subject: X-Mathematics (former standards - 2008) - Archived
Grade: 912
Body of Knowledge: Trigonometry

Related Benchmarks

This cluster includes the following benchmarks
Code Description
MA.912.T.5.1: Use a variety of problem-solving strategies, such as drawing a diagram, guess-and-check, solving a simpler problem, examining simpler problems, and working backwards, using technology when appropriate.
MA.912.T.5.2: Decide whether a solution is reasonable in the context of the original situation.
MA.912.T.5.3: Determine whether a given trigonometric statement is always, sometimes, or never true. Use the properties of the real numbers, order of operations, and trigonometric identities to justify the steps involved in verifying identities and solving equations.


Related Resources

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

Lesson Plan

Name Description
Calculating the Earth-Sun distance using Satellite Observations of a Venus Transit:

Every school child learns that the earth-sun distance is 93 million miles. Yet, determining this distance was a formidable challenge to the best scientists and mathematicians of the 18th and 19th centuries. The purpose of this lesson is to use the 2012 Transit of Venus as an opportunity to work through the mathematics to calculate the earth-sun distance. The only tools needed are basic knowledge of geometry, algebra, and trigonometry. The lesson is self-contained in that it includes all the data needed to work through the exercise.