Chapter 7 Section 1
Students will write ratios and solve proportions.
A comparison of two quantities by division They can be written in three different ways A:B A to B A/B
Look at Problem 1 Try the “Got It” problem for this example.
Compares three or more numbers In the ratio A:B:C The ratio of the first two is A:B The ratio of the second two is B:C And the ratio to the first and last is A:C
Look at Problem 3 Try the “Got It” problem for this example.
An equation of two (equal) ratios. Proportions are solve by cross multiplication
The first and last numbers in the proportion.
The second and third numbers in a proportion
A:B = C:D A and D are the extremes B and C are the means
Finding the product of the means and the product of the extremes is called cross multiplication or cross products. It is used to solve a proportion.
Look at Problem 4 Try the “Got It” problem for this example.
1. If A:B = C:D then B:A = D:C 2. If A:B = C:D then A:C = B:D 3. If A:B = C:D then A + B = C + D BD
Look at Problem 5 Try the “Got It” problem for this example.
Try problems #1-8 on your own
Complete problems #9-36.
Compare/Contrast similar triangles and congruent triangles (at least 6 sentences). When finished complete #61-65 on page 438.