november 3, 2014 new seats!!. november 3, 2014 w arm -u p : a scale drawing of a rectangular rug has...

November 3, 2014

NEW SEATS!!

November 3, 2014

WARM-UP:A scale drawing of a rectangular rug has dimensions 8 inches by 5 inches. The length of the longer side of the actual rug is 24 feet. Calculate the area (in square feet) of the actual rug.5 in

8 in

HintFirst calculate the actual side lengths!

Tonight’s Homework

None!

(but if you want more practice, you can work on any of the problems from this

PowerPoint that we did not get to today in class)

Objective

WRITE THE OBJECTIVE IN YOUR OWN WORDS AT THE

TOP OF TODAY’S WORKSHEET

SWBAT (Students will be able to)…

solve real world problems for missing side lengths of triangles

Finding Side Lengths In Similar Triangles

Notesand

Practice

Solve for the missing side length:

12 ft

15 ft

8 ft

x

Solve for the missing side length:

12 ft

15 ft

8 ft

x

Step 1:Separate the triangles.

Solve for the missing side length:

12 ft

15 ft

8 ft

x

Step 2:Identify corresponding sides.

Solve for the missing side length:

12 ft

15 ft

8 ft

x

Step 3:Solve for the missing side length (like you know how to).

10 ft

Solve for the missing side length:

12 cm

x

3 cm

4 cm

x =

Solve for the missing side length:

12 ft

x

3 cm

4 cm

HINT

Solve for the missing side length:

12 cm

x

3 cm

4 cm

x = 16 cm

Solve for the missing side length:

x =

12 in

6 in

x

3 in

Solve for the missing side length:

12 in

6 in

x

3 in

9 in

HINT6 in

Solve for the missing side length:

x = 18 in

12 in

6 in

x

3 in

Solve for the missing side length:

x

3 m

9 m

x =

5 m

15 m

Real World

Problems

Solve for the length of the shadow:

x = 2 ft

A 6-foot adult has a shadow 4 feet long. How long is the shadow of the 3 foot child standing next to the adult?

6 ft

4 ft x

3 ft

Solve for the height of the tree:

x = 9 m

Tonya is 1.5 meters tall.  She stands 10 meters in front of a tree and casts a shadow 2 meters long.  How tall is the tree?

x

1.5 m

10m 2m

70m

210m

25m

Solve for the depth of the submarine:

x = 100 m

After traveling 70m in its dive, a submarine reaches a depth of 25m. What will the submarine’s depth be if it continues for another 210 meters? Set up and solve a proportion to solve this?

x

Solve for the height up the building:

x = 12.5 ft

The ladders shown below are standing against the wall at the same angle. How high up the wall does the longer ladder go?

*All units are in feet*

x

Solve for the height of the building:

x = 40 m

x