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OBJECTIVE:            How do we solve
problems involving scale using
proportions?
                                        Do Now



                Basic Skills Quiz #14




                                                 1
Basic Skills Quiz #14
1.) Evaluate the following and write your answer in simplest form.
                1        4
          5         -2
                3        5

2.) Divide.

              90 ÷ 3.6
 3.) Write the following in standard notation.

              1.2 X 105

 4.) What is the Least Common Multiple of 6 and 14?




  5.) Round the following to the nearest foot.

                      852.369 feet




                                                                     2
3
4
Anticipatory Set
1.) How are scale models made?
              Clip 1

             Definition

               Clip 2


2.) Why are scale models made?
             Clip 3




                                 5
Lamborghini Love

You are building a scale model of a Lamborghini which is
12 feet long. If you are using a scale where 2 cm = 5 ft
                                                      ft,
how long will your model be?


SET UP YOUR PROPORTION:

                 2 cm

                 5 ft              12 feet




SOLVE:




                                                            6
Large Leprechauns
  Scott makes a scale model of a Leprechaun that
  is 5.25 inches tall. If the scale used for the
  drawing was 1.5 in = 1 ft, how tall would Scott‛s
                         ft
  model be?

SET UP YOUR PROPORTION:

                                 5.25 inches
               1.5 in
                1 ft


SOLVE:




                                                      7
Empire State
For a school project LeeAnn is making a model of the
                                                      8ft
Empire State Building. She is using a scale of 1 cm = 8ft.
Her model is 156.5 cm tall, how tall is the Empire State
Building?

  SET UP YOUR PROPORTION:

                  1 cm                   156.5 cm

                 8ft




       SOLVE:




                                                             8
Model Railroad

Josh wants to add a model of a tree to his model
railroad layout. How big should the model tree be if the
actual tree is 315 inches and the scale is 1 in = 90 in?
                                                     in

 SET UP YOUR PROPORTION:

                   1 in
                   90 in             315 inches

 SOLVE:




                                                           9
Fido‛s Bed
You are buying a new bed for your dog. In the
catalog, the bed is 2cm wide. Your dog‛s belly (when
laying down) is 26 in wide. The scale used is the
catalog is 0.5 cm for every 7 in real life. Will your
dog fit in the bed?

SET UP YOUR PROPORTION:

               0.5 cm                 2cm
                7 in

SOLVE:




                                                        10
Pool Proportions
Your parents are planning to put a pool in the yard. The
blueprints for the house (which use a scale of 3 cm for
every 10ft says that your backyard is 52.5 cm long. If
      10ft)
you want to put a 100 ft long pool in the backyard, will it
fit?

 SET UP YOUR PROPORTION:




  SOLVE:




                                                              11
BEFORE YOU LEAVE
Describe a model or scale drawing you own. How is it the same
and how is it different than the actual object the model or
drawing was create from?




                                                                12
Mr. Tjersland's Math 7




Homework: Pages 290-291 #3, 6-9 all, 16-19 all




                                                 13

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Day 8 scale

  • 1. OBJECTIVE: How do we solve problems involving scale using proportions? Do Now Basic Skills Quiz #14 1
  • 2. Basic Skills Quiz #14 1.) Evaluate the following and write your answer in simplest form. 1 4 5 -2 3 5 2.) Divide. 90 ÷ 3.6 3.) Write the following in standard notation. 1.2 X 105 4.) What is the Least Common Multiple of 6 and 14? 5.) Round the following to the nearest foot. 852.369 feet 2
  • 3. 3
  • 4. 4
  • 5. Anticipatory Set 1.) How are scale models made? Clip 1 Definition Clip 2 2.) Why are scale models made? Clip 3 5
  • 6. Lamborghini Love You are building a scale model of a Lamborghini which is 12 feet long. If you are using a scale where 2 cm = 5 ft ft, how long will your model be? SET UP YOUR PROPORTION: 2 cm 5 ft 12 feet SOLVE: 6
  • 7. Large Leprechauns Scott makes a scale model of a Leprechaun that is 5.25 inches tall. If the scale used for the drawing was 1.5 in = 1 ft, how tall would Scott‛s ft model be? SET UP YOUR PROPORTION: 5.25 inches 1.5 in 1 ft SOLVE: 7
  • 8. Empire State For a school project LeeAnn is making a model of the 8ft Empire State Building. She is using a scale of 1 cm = 8ft. Her model is 156.5 cm tall, how tall is the Empire State Building? SET UP YOUR PROPORTION: 1 cm 156.5 cm 8ft SOLVE: 8
  • 9. Model Railroad Josh wants to add a model of a tree to his model railroad layout. How big should the model tree be if the actual tree is 315 inches and the scale is 1 in = 90 in? in SET UP YOUR PROPORTION: 1 in 90 in 315 inches SOLVE: 9
  • 10. Fido‛s Bed You are buying a new bed for your dog. In the catalog, the bed is 2cm wide. Your dog‛s belly (when laying down) is 26 in wide. The scale used is the catalog is 0.5 cm for every 7 in real life. Will your dog fit in the bed? SET UP YOUR PROPORTION: 0.5 cm 2cm 7 in SOLVE: 10
  • 11. Pool Proportions Your parents are planning to put a pool in the yard. The blueprints for the house (which use a scale of 3 cm for every 10ft says that your backyard is 52.5 cm long. If 10ft) you want to put a 100 ft long pool in the backyard, will it fit? SET UP YOUR PROPORTION: SOLVE: 11
  • 12. BEFORE YOU LEAVE Describe a model or scale drawing you own. How is it the same and how is it different than the actual object the model or drawing was create from? 12
  • 13. Mr. Tjersland's Math 7 Homework: Pages 290-291 #3, 6-9 all, 16-19 all 13