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MAT 207 Review

MAT 207 Review. Dr. Yoshinobu. Teaching Math. Telling is not teaching Video. Final Exam. Cumulative Can use manipulatives No cell phones Do hw Do quizzes Do in-class examples. What are the big ideas?. Proportional reasoning Percents Mean, median, Q1, Q3, min, max

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MAT 207 Review

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  1. MAT 207Review Dr. Yoshinobu

  2. Teaching Math • Telling is not teaching • Video

  3. Final Exam • Cumulative • Can use manipulatives • No cell phones • Do hw • Do quizzes • Do in-class examples

  4. What are the big ideas? • Proportional reasoning • Percents • Mean, median, Q1, Q3, min, max • Reading and interpreting graphs • Recognizing geometric objects and classification

  5. What are the big ideas? • Transformations (rotations, translations, reflections) • Measurement (Units, distance, perimeter, area, Pythagorean Theorem)

  6. Proportional Reasoning If a person is 6 feet tall and casts a shadow that is 8 feet long, then how tall is a tree that casts a 121 foot long shadow?

  7. Problem 1 Vanessa and Carol are running around a track at the same speed. Carol starts when Vanessa has already finished 3 laps. After Vanessa has finished 12 laps, how far has Carol run? Make sure you JUSTIFY your reasoning

  8. Problem 2 For every 3 laps Carol runs, Vanessa runs 4. If Carol finishes 12 laps in 1 hour, how many laps does Vanessa finish? Justify your reasoning!

  9. Percents The price of a coat was originally $48. The price was reduced 25%. Then the sale price was further reduced another 25%. What is the final price of the coat?

  10. Who’s the better HR hitter? Mark McGwire vs Babe Ruth

  11. What’s going on?

  12. Sample Stem Plot

  13. Using Mathematical Definitions Mathematical definitions are used differently than everyday language definitions. Two types of definitions: • Stipulated Definitions (Math) • Everyday language (non-math)

  14. Problem A rectangle is a quadrilateral that has 4 right angles. A square is a quadrilateral that has 4 right angles and 4 congruent sides. Q: Is a rectangle a square or is a square a rectangle?

  15. Congruence Suppose two polygons are congruent. Does this imply that the two polygons have the same area and perimeter?

  16. Congruence Suppose two polygons have the same area. Are these polygons congruent? (Geoboards may be helpful. Build examples!)

  17. Congruence Suppose two polygons have the same perimeter. Are the two polygons congruent? (Geoboards!)

  18. Conclusions and Communication What can you conclude about polygons that have the same area or polygons that have the same perimeter? Write your conclusion using complete sentences, and be as specific and accurate as possible.

  19. Congruence Suppose two polygons drawn on a geoboard have the same number of dots or pegs in their interiors. Does this imply that the polygons are congruent?

  20. Congruence Suppose two line segments are composed of the same number of dots or pegs. Does this imply that the two line segments have the same length?

  21. Translation Translation vector = (x,y) (x+3,y+1)

  22. Translation Translation vector = (x,y) (x-3,y+1)

  23. Translation Translation vector = (x,y) (x-3,y-2)

  24. Reflection

  25. Reflection

  26. RotationsRotate the figure 90 degrees counterclockwise

  27. RotationsRotate the figure 90 degrees counterclockwise

  28. RotationsRotate the figure 90 degrees counterclockwise

  29. RotationsRotate the figure 180 degrees counterclockwise

  30. RotationsRotate the figure 180 degrees clockwise

  31. Eggs in a Carton Suppose you purchase 6 cartons of eggs. Each carton has 12 eggs. How many eggs do you have in total?

  32. Metric System Materials: Ruler 1 m = 10 dm = 100 cm =1000 mm Draw some lengths. 3 mm, 3 cm, 3 dm, 3 m

  33. Metric System Conversions. A Kilometer is 1000 meters. A meter is 1000 millimeters. How many millimeters is 2.6 kilometers? How many kilometers is 31.7 mm?

  34. Metric System A track is 400 meters in circumference. How many km and how many cm is this? 1 km = 1000 m 1 m = 100 cm

  35. U.S. Standard 12 inches is a foot. 3 feet equal 1 yard. 5280 feet are in a mile. A track is 440 yards in circumference. How many miles long is that?

  36. 1 mile = ?? kms 1 in = 2.54 cm 100 cm = 1 m 1000 m = 1 km 12 in = 1 ft 5280 ft = 1 mile 1000 mm = 1 m 10 mm = 1 cm 3 ft = 1 yard

  37. U.S. Standard 1. Rulers with inches are not marked using the decimal system. Find 3 and 3/16ths inches. Then convert that length into miles. 2. A common mistake is to think 3/16ths inches is .3 inches. Why is this incorrect?

  38. U.S. Standard Suppose a car is traveling 42 feet per second. How many miles per hour is it traveling?

  39. Time How many seconds are in a year? Assume a year has 365 days.

  40. Distance How many seconds are in a year? Assume a year has 365 days. Light travels at a speed of 186,000 miles per second. If light takes about 8 minutes to travel from the sun to the earth, then how far away is the sun?

  41. Which is longer? 400 meters or 440 yards? 1 inch is 2.54 cm. 100cm = 1 m 12 in = 1 ft 3 ft = 1 yd 5280 ft = 1 mile 1000 mm = 1 m 1000 m = 1 km

  42. The ratio of boys to girls in a class is 3:8. If 2 boys and 2 girls are added to the class, will the ratio of boys to girls change or stay the same. Explain.

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