1. Review
Chapter 4

2. Ratio and Rates
4.1

3. Vocabulary Ratio – a comparison of two numbers by division.
Rate – a comparison of two quantities with different types of units
Unit Rate – a rate that has been simplified so it has a denominator of 1.

4. Rate of Change
4.2

5. Vocabulary
Rate of change – a rate that describes how one quantity changes in relation to another.

6. Rate of Change

7. Rate of Change Graphs

8. Slope
4.3

9. Vocabulary Slope – the rate of change between two points
Rise – the vertical change
Run – the horizontal change

10. Solving Proportions
4.4

11. Vocabulary Proportion – two ratios that are equivalent.
Cross Products – the process of multiplying two ratios for comparison or solution.

12. Proportion
PROPORTION:

13. Cross Products
CROSS PRODUCTS:

14. Using Cross-Products To Solve
Set your two proportions to be equal
Use your cross-products to set up the equation
Multiplication problem: Divide
X equals your missing denominator!

15. Similar Polygons
4.5

16. Vocabulary
Polygon – a simple closed figure in a plane formed by three or more line segments
Similar – polygons that have the same shape
Corresponding parts – parts of similar figures that “match”
Congruent – angles that have the same measure
Scale factor – the ratio of the lengths of two corresponding sides of two similar polygons

17. Properties of Similar Polygons

18. Similar Polygons

19. Scale

20. Scale Drawings and Models
4.6

21. Vocabulary
Scale drawing – a 2 dimensional representation of an object that is too large or too small to be drawn or built at actual size.
Scale Model – a 3 dimensional representation of an object that is too large or too small to be drawn or built at actual size.
Scale – the ratio of the given length on a drawing or model to its corresponding actual length.
1 inch = 4 feet
1:30 = 1 unit represents an actual distance of 30 units.

22. Indirect Measurement
4.7

23. Vocabulary
Indirect measurement – the technique of using properties of similar polygons and proportions to find distances or lengths that can be difficult to measure directly.

24. Shadow Reckoning

25. Dilations
4.8

26. Vocabulary
Dilation – the image produced by enlarging or reducing a figure

27. Scale Factor