P.O.D. # basic advanced A student’s rectangular desk is 30” long and 18” wide. The teacher’s rectangular desk is 60” long and 36” wide. Are the desks.

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Presentation transcript:

P.O.D. # basic advanced A student’s rectangular desk is 30” long and 18” wide. The teacher’s rectangular desk is 60” long and 36” wide. Are the desks similar? = Student: Teacher: ? 30  36 = 18  = 1080 ? Yes, the desks are similar. The two shapes above are similar. Determine the value of x x9x = 6  x = 9  24 6x = 216 ÷6 ÷6 x = 36

Scale Drawings & Models

The measurements of a scale drawing or model are proportional to the measurements on the actual object. A scale drawing is an enlarged or reduced drawing of an object that is similar to the actual object

The scale is the ratio that compares the measurements of the drawing or model to the measurements of the real object. 1 inch 20 feet

Using A Scale Drawing I Do 1.5 cm = 3m The height of the Acrocanthosaur on a scale drawing is 4.5 cm. What is the actual height of the Acrocanthosaur? 1.5 cm 3 m 4.5 cm x = 1.5  x = 3  x = 13.5÷1.5 x = 9 The actual height of the Acrocanthosaur is 9 meters.

Using A Scale Drawing We do Let’s try some examples on your guided notes now.

On a road map, the distance between Philadelphia and Pittsburgh is 7.5 inches. What is the actual distance between the cities if the map scale is 1.5 inches = 60 miles? 1.5 inches 60 miles 7.5 inches d miles = 1.5  d = 7.5  d = 450÷1.5 d = 300

A photograph was enlarged and made into a poster. The poster is 20 inches by 30 inches. The scale factor is 5/1. Find the size of the photograph. 20 in 30 in Poster h w Photo poster photo 5151 = Scale factor: in h = in w = Height: Width:

in h = Height: in w = Width: Whiteboard: 5  w = 30 in  1 5w = 30 in ÷5 w = 6 in 5  h = 20 in  1 5h = 20 in ÷5 h = 4 in

Each group needs: Calculations worksheets Pencils Calculators Graph paper Ruler

Step 1: Determine the scale of the drawing. Step 2: Calculate the scale measurements of the classroom. Step 3: Draw the outline of the classroom on your graph paper in pencil. Step 4: Write the scale of your drawing on your graph paper in pencil. Step 5: Calculate the scale measurements of the furniture. Step 6: Add the furniture to the your scale drawing in pencil.

Classroom: Length = 928 cm Width = 695 cm Student Tables:L = 233 cm W = 90 cm Back Table:L = 134 cm W = 120 cm Mr. DiNardo’s Desk:L = 127 cm W = 87 cm Mrs. Sprinkle’s Desk:L = 136 cm W = 60 cm Bookcase 1: L = 122 cm W = 30 cm Bookcase 2:L = 137 cm W = 49 cm File Cabinet:L = 149 cm W = 38 cm Storage Cabinet:L = 197 cm W = 91 cm Computer Cart:L = 84 cm W = 65 cm