Figure out the matching problem, model, proportion, and solution. Choose 4 problems to show all work for solution. 12
10
= 10
𝑥
8
𝑥
= 1
9
12 ft 2
7
= 4
𝑥
10 ft In the woods is a cellular receiving tower that is 72 ft tall and has a 60 ft shadow. Next to it is a tree with a 40 ft shadow, how tall is the tree? 28 24 20 10 ft 16 12 x 8 4 6 feet 25
𝑥
= 20
12
2 4 6 8 10 12 14 16 Malik is making a scale drawing for his architecture class. He is using the scale 1 in = 8 ft. If the building in the drawing is 9 inches, how tall will the actual building be? 9 ft 40 feet !
!
long will a similar ramp be if it is 1.5 feet high from the ground? !
x ft A wheelchair ramp is 9 feet long and sits 2 ft high. How !
2 ft 14 feet Inches
.5
4
18
1
1.5 Feet
4
32
144
A 20 B 25 ft C E 48 feet 72 ft 12 D Julisa wants to find the perimeter of her bedroom that is similar to her brother’s. If her brother’s bedroom is 12 ft long and 10 ft wide and her bedroom is 10 feet long, what is the perimeter of her room? !
36 ft !
Triangles ABC and DEC are similar. How far is it from point A to point D Ashton is drawing a scale picture of his bedroom. He is using the scale 2 cm = 4 ft. If his scale drawing has a width of 6 cm and length of 7 cm, what is the length of his actual bedroom? 72 ft 2.25
9
= 1.5
𝑥
x 60 ft 40 ft 72
𝑥
= 60
40
Mathematician: ________________________________
Proportional Matching
Word Problem Match and show all work for 4 of the 6 examples. Picture/Model Proportion Answer Work: Word Problem Picture/Model Proportion Answer Word Problem Picture/Model Proportion Answer Work: Work: Mathematician: ________________________________
Proportional Matching
Word Problem Picture/Model Proportion Answer Work: On the following two examples, please match all parts of the examples. Word Problem Picture/Model Proportion Answer Word Problem Picture/Model Proportion Answer Mathematician: ________________________________
Proportional Matching
Mathematician: ________________________________
Proportional Matching