MA.6.A.3.4Archived Standard

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Solve problems given a formula.

Remarks

Example: The pressure exerted by a solid object on a solid surface can be calculated by using the formula, , where the variables P, F, and A represent pressure, force, and area respectively.  A newly refinished wood floor can withstand a pressure of up to 40 pounds per square inch without sustaining damage. A 120 pound woman with high heels and a 240 pound man with flat heels each enter this room.  Assume that at some point all of their weight is supported equally by the heels of both of their shoes. Given that each of the woman’s heels occupies an area of 0.25 in2 and each of the man’s heels occupies an area of 12 in2, find out each person’s potential for causing damage to the wood floor. Justify your answer.

If a 15,000 pound African elephant with feet that each has an area of 100 in2 were to stand on this floor, would it cause damage to the floor? Explain your answer. Compare the three cases with each other.

General Information
Subject Area: X-Mathematics (former standards - 2008)
Grade: 6
Body of Knowledge: Algebra
Idea: Level 2: Basic Application of Skills & Concepts
Big Idea: BIG IDEA 3 - Write, interpret, and use mathematical expressions and equations.
Date Adopted or Revised: 09/07
Content Complexity Rating: Level 2: Basic Application of Skills & Concepts - More Information
Date of Last Rating: 06/07
Status: State Board Approved - Archived
Assessed: Yes

Related Access Points

Alternate version of this benchmark for students with significant cognitive disabilities.

Related Resources

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Lesson Plan

How Fast can Dominoes Travel in a Chain Reaction?:

The students will complete an inquiry activity using dominoes to determine what variables affect the speed of the chain reaction. Students will have to consider and decide on the best spacing between dominoes to achieve the fastest travel time and ensure the spacing remains constant by carefully measuring the distance between each domino. They will set up 5 dominoes at a time to set off a chain reaction alongside another 5 dominoes space differently. Students can create a bar graph to show how the spacing affects the speed. Students can have fun while learning or reinforcing their understanding of potential and kinetic energy, measuring distance, measuring elapsed time, recording data, making and interpreting graphs and using the distance formula to calculate the rate of speed.

Type: Lesson Plan

Teaching Idea

Echolocation and Density-SeaWorld Classroom Activity:

Students will solve density problems.

Type: Teaching Idea

Student Resources

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Parent Resources

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