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Good Grief, Ratios?!?!

Good Grief, Ratios?!?!. Lisa Herron – Cypress Bay High School Josh Cross – West Broward High School Jessica Flint – West Broward High School Venessa Smith – Blanche Ely High School. A ratio is an expression which compares quantities relative to each other.

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Good Grief, Ratios?!?!

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  1. Good Grief, Ratios?!?! Lisa Herron – Cypress Bay High School Josh Cross – West Broward High School Jessica Flint – West Broward High School Venessa Smith – Blanche Ely High School

  2. A ratio is an expression which compares quantities relative to each other. • The most common examples involve two quantities. Example: What is the ratio of students to pizza slices? What is a Ratio?

  3. 2:3 or or Two students TO three slices of pizza. The Ratio Is:

  4. Take another look… Or there is 1 student to 1 ½ pizza slices? Is 2:3 the same as 1:1.5?

  5. This is called the unit ratio. It is often easiest to solve problems when the unit ratio is known.

  6. Which row will give the students the most pizza?

  7. Students : Pizza ANSWER: A & F

  8. Same Ratio? If two ratios are equal then we have a proportion.

  9. How many ice cream cones should be in row B to have same ratio as row A? Proportions & Algebra

  10. Solution The ratio of students to ice cream is 1:2.

  11. In row B there are 3 students:

  12. So, we need 6 ice cream cones to have the same ratio in A and B. Proportions & Algebra

  13. Algebraically

  14. M&M Activity • 1. Place M&M candies along the diameter and circumference of each circle. You may have to bite an M&M to get an exact fit. • 2. Count the number of M&M’s and fill in the table below. Write the ratio as a decimal. • 3. Calculate the average ratio of the 4 circles. Ratios in the Classroom

  15. M&M Activity • 4. What can be said about the ratio between the circumference and diameter of a circle? Ratios in the Classroom

  16. M&M Activity • If the circumference of the Earth is 40,075.02 KM, and the diameter is 12,756.2 KM, how many M&Ms would be needed to go around the Equator?

  17. What is Scaling? - Scaling is a linear transformation that enlarges or diminishes objects. - For similar figures, a scale factor is usedto make this transformation. - A scale factor is the number by which each dimension of the original object is multiplied to find the corresponding dimension of the model. Applications of Ratios

  18. The scale factor for HO scale trains is 1:87. Disney’s Haunted Mansion. The map on the right shows both the unit ratio and the scale used. Scaling is used…

  19. 1. Measure the length and width of the picture. • 2. Find the side length of one square in the picture. • 3. Measure the length and width of the graph paper. • 4. What scale is needed to completely fill the graph paper with the Snoopy picture? Scaling Activity

  20. Scaling Activity • 5. At the top of the Snoopy picture page label the boxes alphabetically A-H. On the left side of the page, label the boxes vertically from 1-11. • 6. On the graph paper label the boxes in the same manner. • 7. On the graph paper, enlarge the Snoopy Picture by reproducing each corresponding box. • 8. After you sketch the entire drawing, use a pen to outline your drawing. You may also wish to color your drawing.

  21. Geogebra Activity

  22. Grade 6 • Grade 7 • Grades 9 - 12 Big Idea 1 Big Idea 1 Strand 2: Polygons Big Idea 2 Big Idea 2 Strand 4: Triangles Strand 6: Circles Sunshine State Standards

  23. SSS – Grade 6

  24. SSS – Grade 6

  25. SSS – Grade 7

  26. SSS – Grade 7

  27. SSS – Geometry 9-12

  28. SSS – Geometry 9-12

  29. SSS – Geometry 9-12

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