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4-29-13

4-29-13. Do now: lines and angles The letter Z illustrates alternate interior angles. Find at least 1 other letter that illustrates pairs of angles (corresponding, alternate exterior, vertical, supplementary) Draw the letter Then mark and describe the angles. density.

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4-29-13

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  1. 4-29-13 • Do now: lines and angles • The letter Z illustrates alternate interior angles. Find at least 1 other letter that illustrates pairs of angles (corresponding, alternate exterior, vertical, supplementary) • Draw the letter • Then mark and describe the angles

  2. density • What weighs more, a bag of paper or a paper clip? • Does mass have anything to do with it?

  3. instructions • What objects have certain constraints? • How is density related to mass and volume? • Discuss ideas for story problems? • You will not solve, but need to show what solving for

  4. Measuring – review of volume and area • Volume • 3 D geometric shapes • Can you name shapes that are similar to area shapes but have volume? • Area • 2 D geometric shapes • Can you name shapes with area?

  5. Circles & volume • A machinist creates a spacer by drilling a 3 cm diameter hole through the middle of a cylinder, that has a diameter of 5 cm and a height of 0.5 cm. What is the approximate volume of the finished spacer? • Consider a life saver candy • Find volume whole thing • Then find volume what you cut out

  6. Partners (these were due Friday 4/26) • Given 2, 3-D objects, compute effect on volume, if a dimension (height) changes, • Create a visual demonstrating the relationship between circumference, area, height, and volume of a circle and its relationship to a cylinder

  7. Partners (continue) (due 4/29/13 at end of hour) Create 2 problems for your classmates to solve in which they must use at least three volume formulas

  8. Individual (due 5/3/13) • How do artists consider geometric shapes when creating masterpieces? DIRECTIONS: Find a picture/character/place that interests you. Draw, sketch, or use computer in room to create the picture using only geometric shapes. Vocabulary is below of some geometric shapes that should be involved in your picture: • -Geometric shapes -Cylinder • -Sphere -Rectangular prism -Parabola

  9. Circle information • What are the parts to a circle? • What do these parts form?

  10. Summary 4-29-13 • Why are volume formulas used for 3D objects?

  11. No technology devices allowed during instruction This is a new rule that all high school teachers are implementing. If I see out, then I will ask you to put away once and if still see I take, and return at end of class, if problem then admin can get

  12. 4-30-13 • Do now: Transformation • Your friend and her parents are visiting colleges. They leave their home in Enid, Oklahoma and drive to Tulsa, which is 107 miles east and 18 miles south of Enid. From Tulsa, they go to Norman 83 miles west and 63 miles south of Tulsa. • Where is Norman in relation to Enid?

  13. Density, volume, mass • Potato chips • Pringles

  14. Circle/conic sections information • Conic section is intersection of plane and cone • Circles have circumference, radius, arcs, use pi • How are circles related with volume? • Arc measure • Arc length

  15. Arc length • Video – you tube – arc measure vs. arc length

  16. Circles/conic sections • Activity pg 770 • Arc measure and length problems • Clock problem task • Book work pg. 777

  17. Summary 4-30-13 • How can you prove relationships between angles and arcs in a circle?

  18. 5-1-13 • Do now • Pg. 777 #14

  19. Conic sections/ circles • create a vocabulary sheet that includes definitions and diagrams of each type of segment. • Perhaps making a connection that a central angle has its vertex in the center of the circle •Have students to organize all the theorems taught in sections 12.1 to 12.4 in an effort to increase learning.

  20. 5-2-13 • Do now: quiz today

  21. 5-3-13 • Do now: • An ice cream vendor presses a sphere of frozen yogurt into a cone. If the yogurt melts into the cone, will the cone overflow? Explain • See picture and measurements on pg 739 #46

  22. Together: Circles and their parts • Activity pg. 770 (#2) • Why did you refresh the distance formula? Pg. 799, • There is a connection with equation of a circle

  23. work • Pg. 762 (12-1) pages, definitions, questions • Pg. 771 (12-2) definition, theorems, problems • Pg. 780 (12-3) definitions, theorems, problems • Retake a test/quiz or complete a test/quiz from yesterday or a previous day • Re-create a picture using only geometric shapes • If finish with all, then work or sit quietly until time is up or all students complete Partners individual

  24. Summary • How do you find the equation of a circle within a coordinate plane? • Homework: have a quarter on Monday!

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