Angles and Fractional Parts of a Circle. How can you relate angles and fractional parts of a circle?

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1 ? Name. Essential Question ngles and Fractional Parts of a ircle How can you relate angles and fractional parts of a circle? Geometry and Measurement.7. MTHEMTIL PROESSES..,..E,..F Investigate Materials fraction circles. Place a piece on the circle. Place the tip of the fraction piece on the center of the circle. Trace the fraction piece. What figure is formed by the fraction piece? What parts of the fraction piece represent the rays of the angle? On what part of the circle is the vertex of the angle?. Shade the angle cut out by the piece. Label it.. Place the piece back on the shaded angle. Turn it counterclockwise. ounterclockwise is the direction opposite from the way the hands move on a clock. Trace the fraction piece in its new position. How many twelfths have you traced in all? _ Label.. Turn the fraction piece counterclockwise again and trace it. Label the total number of twelfths. ontinue until you reach the shaded angle. What figure is formed by turning Houghton Mifflin Harcourt Publishing ompany and tracing the fraction piece? How many times did you need to turn the piece to make a circle? How many angles came together in the center of the circle? Module 7

2 Make onnections You can relate fractions and angles to the hands of a clock. Let the hands of the clock represent the rays of an angle that cuts out a fraction of the clock face. Each -minute mark represents a turn clockwise. minutes elapse. minutes elapse. 0 minutes elapse. 60 minutes elapse. Math Talk Mathematical Processes Explain how an angle formed in a circle using a _ -fraction piece is like a _ turn and minutes elapsing on a clock. Share and Show Look at the shaded part of the circle. Tell what fraction of the circle the angle cuts out.... _ Tell whether the angle on the circle shows a _, _, _, or full turn clockwise or counterclockwise Houghton Mifflin Harcourt Publishing ompany

3 Name Problem Solving Sense or Nonsense? 7. nalyze Whose statement makes sense? Whose statement is nonsense? Explain your reasoning. The shaded angle cuts out _ of the circle. The shaded angle cuts out _ of the circle. arla s Statement dam s Statement. Susan watched the game from p.m. to :0 p.m. escribe the turn the minute hand made. Houghton Mifflin Harcourt Publishing ompany. Write Math ompare the angles in the two circles. oes the position of the angle affect the size of the angle? Explain. Module Lesson

4 aily ssessment Task Mathematical Processes Fill in the bubble completely to show your answer.. Multi-Step arrie does her homework from p.m. to : p.m. Which describes the turn the minute hand makes? _ turn clockwise _ turn clockwise _ turn counterclockwise _ turn counterclockwise. Which angle shows _ turn counterclockwise?. Look at the shaded part of the circle. What fraction of the circle does the angle cut out? 0 TEXS Test Prep. Phillip watched a beach volleyball game from : p.m. to :00 p.m. What fraction of a turn did the minute hand make? _ turn clockwise _ turn clockwise _ turn clockwise full turn clockwise Houghton Mifflin Harcourt Publishing ompany

5 Homework and Practice Name Number and Operations.7. MTHEMTIL PROESSES..,..E,..F. ngles and Fractional Parts of a ircle Look at the shaded part of the circle. Tell what fraction of the circle the angle cuts out.... Tell whether the angle on the circle shows a _, _, _, or full turn clockwise or counterclockwise Problem Solving Houghton Mifflin Harcourt Publishing ompany. Evan practiced the piano from p.m. to : p.m. escribe the turn the minute hand made.. s soon as Evan finished practicing, he ate a snack. When he finished his snack, it was :00. escribe the turn the minute hand made. Module Lesson

6 Lesson heck TEXS Test Prep Fill in the bubble completely to show your answer.. Which angle shows a _ turn counterclockwise?. Look at the shaded part of the circle. What fraction of the circle does the angle cut out?. Multi-Step Hannah takes a break from a.m. to : a.m. Which describes the turn the minute hand makes?. Multi-Step Inez walks her dog each morning from 7: a.m. to : a.m. Which describes the turn the minute hand makes? turn counterclockwise turn clockwise turn counterclockwise turn clockwise turn clockwise full turn clockwise turn counterclockwise turn clockwise 6. Multi-Step en babysits his little sister for minutes each day. Which fraction describes the turn of the minute hand on the clock face during the time en babysits? 7. Multi-Step Standard time begins in the fall. On a certain day each year, many people turn their clocks back one hour. Which fraction describes the turn of the minute hand on the clock face? 6 Houghton Mifflin Harcourt Publishing ompany