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Warm-up

Warm-up. Have a piece of notebook paper out and ready to take some notes today. Section 2.6 Objectives. Solve problems using formulas for perimeter and area. Solve problems using formulas for a circle’s area and circumference. Solve problems using formulas for volume.

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Warm-up

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  1. Warm-up • Have a piece of notebook paper out and ready to take some notes today

  2. Section 2.6 Objectives • Solve problems using formulas for perimeter and area. • Solve problems using formulas for a circle’s area and circumference. • Solve problems using formulas for volume. • Solve problems involving the angles of a triangle. • Solve problems involving complementary and supplementary angles.

  3. Problem Solving in geometry • Geometry is about the space you live in and the shapes that surround you.

  4. Common formulas for perimeter and area

  5. Using the formula for the area of a triangle • A sailboat has a triangular sail with an area of 30 square feet and a base that is 12 feet long. Find the height of the sail.

  6. Geometric formulas for circumference and area of a circle • Formulas for circles • Find the area and circumference of a circle with a diameter measuring 20 inches.

  7. Problem solving using the formula for a Circle’s area • Formulas for circles • Which one of the following is a better buy: a large pizza with a 16-inch diameter for $15.00 or a medium pizza with an 8-inch diameter for $7.50

  8. Geometric formulas for volume

  9. Homework • Problems #1-30

  10. College Visits Michigan State 10/9 @ 1:30 Michigan Tech 10/15 @ 10:30 Central Michigan 10/15 @ 2 UofM/Flint 10/17 @ 9 SVSU 11/12 @ 9:00 Toledo College Night 10/2 from 5-7:30 2225 Nebraska Ave. LISD College Night 10/17 6-7:30 (Financial Aid Help) Adrian College Merillat Center

  11. Today • Pass your homework up. I will be checking for completion myself today. • Notes • Practice Problems • Homework  • Student news?

  12. The angles of a triangle • An angle is formed by two rays that have a common endpoint. • The sum of the measures of the three angles of any triangle is 180 degrees. • Two angles with measures having a sum of 90 degrees are call complementary angles. • Two angles with measures having a sum of 180 degrees are call supplementary angles. • Algebraic Expressions for Complements and Supplements • Measure of an angle: x • Measure of the angle’s complement: 90-x • Measure of the angle’s supplement: 180-x

  13. Practice Problem • A triangle is made of angles x, 2x, and x-20. Find the value of x and the values of each angle.

  14. Practice Problem • The measure of an angle is 40 degrees less than four times the measure of its complement. What is the angle’s measure?

  15. Homework • 31-53, 57-65

  16. College Visits Michigan State 10/9 @ 1:30 Michigan Tech 10/15 @ 10:30 Central Michigan 10/15 @ 2 UofM/Flint 10/17 @ 9 SVSU 11/12 @ 9:00 Toledo College Night 10/2 from 5-7:30 2225 Nebraska Ave. LISD College Night 10/17 6-7:30 (Financial Aid Help) Adrian College Merillat Center

  17. Today • Pass your homework up. I will be checking for completion myself today. • Notes • Practice Problems • Homework  • Student news?

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