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Understanding Relationships Between Quantities: Solving Linear Equations and Metric Conversions

This lesson focuses on the importance of understanding relationships between quantities through the lens of solving linear equations and performing metric conversions. Students will explore key standards in coordinate algebra, including solving equations, area, volume, and surface area calculations. Practical examples include finding the area of paper, volume of a canister, and surface area of a gift box. The session includes exercises from a worksheet to reinforce skills. Essential tools such as a pencil and calculator will be necessary for completion.

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Understanding Relationships Between Quantities: Solving Linear Equations and Metric Conversions

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  1. Warm-Up • Solve each equation or formula for the variable indicated. 1. 2. 3.

  2. Homework questions

  3. CCGPS Coordinate AlgebraDay 3 (01.10.13) UNIT QUESTION: Why is it important to understand the relationship between quantities? Standard: MCC9-12.N.Q.1-3, MCC9-12.A.SSE.1, MCC9-12.A.CED.1-4 Today’s Question: What steps are used in solving linear equations? Standard: MCC9-12.A.CED.1

  4. Metric Conversions K H D B D C M BASES: Liter, Meter, Gram illi eci ilo enti eka ecta ASE

  5. Area, Volume, & Surface area

  6. Ex 1: Finding area • Your paper is 8.5 inches wide and 27.94 centimeters long. Find the area of the paper in centimeters. A = 603.2246 cm2

  7. Ex 2: Finding volume • You are trying to fill a canister full of Pringles. The canister has a radius of 3.5 cm and a height of 95m. Find the volume of the canister in cm. V = 365,602.8451 cm3

  8. Ex 3: surface area • You are wrapping a gift for your mother’s birthday. The box is 1 ft wide, 22.86 cm long, and 152.4 mm tall. Find the surface area of the box so you know how much wrapping paper you will need in cm. SA = 3019.3488 cm2

  9. Daily check Clear your desk. You need a pencil and a calculator.

  10. CW/HW • Worksheet • On #4 find your answers in cm • On #5 find your answer in m • On #6 find your answers in m

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