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Understanding Relationships Between Quantities in Coordinate Algebra

In this lesson, we explore the importance of understanding the relationship between quantities through solving equations and formulas. Students will tackle key concepts in linear equations and metric conversions, ensuring a strong grasp of mathematical principles. We will address various exercises involving area, volume, and surface area, offering practical applications for these concepts. With the standards of MCC9-12.N.Q.1-3 and MCC9-12.A.CED.1, students will gain valuable skills in problem-solving and calculation across different metrics.

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Understanding Relationships Between Quantities in Coordinate Algebra

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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. Edit – height should have been 95 mm. 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. Skills 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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