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Algebra 2.7

Algebra 2.7. Applications of Proportions. Learning Targets. Language Goal Students will be able to verbally express using proportions to solve problems involving geometric figures. Math Goal Students will be able to use proportions and similar figures to measure objects indirectly .

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Algebra 2.7

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  1. Algebra 2.7 Applications of Proportions

  2. Learning Targets Language Goal • Students will be able to verbally express using proportions to solve problems involving geometric figures. Math Goal • Students will be able to use proportions and similar figures to measure objects indirectly. Essential Question • How do you use proportions to get measures of objects that are too big to actually measure?

  3. Warm-up

  4. Homework Check

  5. Homework Check

  6. Vocabulary • Similar: • Corresponding Sides: • Corresponding Angles: • Indirect Measurement: • Scale Factor: Figures that have exactly the same shape but not necessarily the same size. Sides that are in the same relative position on two different figures. Angles that are in the same relative position on two different figures. When you set up and solve proportions involving similar figures to find a length that is not easily measured. The multiplier used on each dimension to change into a similar figure.

  7. Guided Notes Corresponding Sides Corresponding Angles E B A C D F

  8. Example 1: Finding Missing Measures in Similar Figures

  9. Example 1: Finding Missing Measures in Similar Figures

  10. Example 2: Measurement Applications • Sam is 5ft tall and casts a shadow 4 feet long. At the same time, a nearby tree casts a shadow 12 feet long. Write and sole a proportion to find the height of the tree.

  11. Example 2: Measurement Applications • Keshawn is 5 ft. 6 in tall and casts a shadow that is one-fourth his height. At the same time, a nearby tree casts a shadow that is twice keshawn’s a proportion to find the height of the tree.

  12. Example 2: Measurement Applications • A utility worker is 5.5 feet tall and is casting a shadow 4 feet long. At the same time, a nearby utility pole casts a shadow 20 feet long. Write and solve a proportion to find the height of the utility pole.

  13. Example 3: Changing Dimensions

  14. Outside We Go! • If sunny?

  15. Lesson Quiz

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