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_________________________________________ May 1 – (- 625 ), 2011 _________________________________________ ____________________________________ 7th Grade Math Class work #173 Aim: SWBAT determine the sum of the angles of any given polygon. Please Do Now 1) Solve for n in the equation an – bc = d 2) At Best Buy, they’re offering CD’s in bundles. A bundle of 200 CD’s costs $56. At Circuit City, they’re having a sale on 150 CD’s for 52.50. Which place has the better deal? Explain why. __________________________________________________________________________________________ __________________________________________________________________________________________ __________________________________________________________________________________________ 3) Write the equation that the table below represent. x y 1 14 2 22 3 30 Answer: _____________________________ Finished Early? How many degrees are in any given quadrilateral? __________________________________________ How do you know? __________________________________________________________________ We are KIPP: STAR and we are a Team and a Family. FACT/ TOPIC DETAILS TRIANGLE The sum of the angles of any triangle is _____________________. QUADRILATERAL The sum of the angles of any quadrilateral is _________________ because we can create two triangles from every quadrilateral. PENTAGON What would be the total sum of the angles of a pentagon? Step 1: Draw the shape. Step 2: From one ____________ (or point), draw diagonals to as many of the other points. Step 3: Count the number of triangles and multiply by 180. The sum of the angles of any pentagon is ____________________ Shape # of Sides # of Triangles Total Degrees Triangle Quadrilateral Pentagon We are KIPP: STAR and we are a Team and a Family. Let’s Practice Show your work. When you are done with the first section, choose your preference of math problems (mild, hot or spicy). If you get done early, try to complete the other two. 1. Find the sum of the angles of a hexagon. The sum of the angles of any hexagon is ____________________ 2. Find the sum of the angles of a heptagon. The sum of the angles of any hexagon is ____________________ MILD 3. Fill in the chart and make a prediction as to what would be the sum of the angles of an octagon and a nonagon (a nine-sided polygon ). Shape # of Sides # of Triangles Total Degrees Triangle Quadrilateral Pentagon Hexagon Heptagon Octagon Nonagon We are KIPP: STAR and we are a Team and a Family. HOT 4. A decagon contains the following angles: 140, 140, 115, 115, 120, 120, 155, 155 If the last two angles are of the same value, what is the measure of that angle? Answer: ____________________________ SPICY 5. A dodecagon has 12 sides. What is the sum of all of its angles? Answer: ____________________________ 6. Complete the chart. Lofl to KIPPsters who can write an expression based off of this chart. Shape # of Sides # of Triangles Total Degrees Hexagon Heptagon Octagon Nonagon Decagon Write an expression on how to find the degrees by knowing the number of sides, s: __________________ We are KIPP: STAR and we are a Team and a Family. _________________________________________ May 1 – (- 625 ), 2011 _________________________________________ ____________________________________ 7th Grade Math Homework #173 Show your work. When you are done with the first section, choose your preference of math problems (mild, hot or spicy). If you get done early, try to complete the other two. 1. Find the sum of the angles of a nonagon. The sum of the angles of any nonagon is ____________________ 2. Find the sum of the angles of an octagon. The sum of the angles of any octagon is ____________________ MILD 3. Fill in the chart and make a prediction as to what would be the sum of the angles of an octagon and a nonagon (a nine-sided polygon ). Shape # of Sides # of Triangles Total Degrees Pentagon Hexagon Heptagon We are KIPP: STAR and we are a Team and a Family. [insert any questions from the test data that we need to spiral] We are KIPP: STAR and we are a Team and a Family.