Scale factor, scale, area, perimeter, and redrawing figures

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Presentation transcript:

Scale factor, scale, area, perimeter, and redrawing figures Review Scale Factor Scale factor, scale, area, perimeter, and redrawing figures

Fluency- distributive property

Fluency answers

Difference between scale and scale factor Scale- ratio of measurements from a drawing, model, or picture to the actual measurements can be different units like inches: feet has to have measurement labels Scale Factor- comparison of measurements in the SAME units does not usually have labels!

Scale factor 1 find the scale factor and missing side

Scale factor 1 Answer Scale factor: ½ X = 4.5 cm

Scale factor 2 find the scale factor and missing side

Scale factor 2 - answer Scale factor: 1.5 X = 12 cm

A floor plan for a home is Step-by-Step Example SCALE AND AREA REVIEW. A floor plan for a home is shown at the left where inch represents 3 feet of the actual home. What is the actual area of the bathroom ? Find the length using the scale Find the width using the scale Find the area using length and width Need Another Example?

0.5 𝑖𝑛 3 𝑓𝑡 = 2 𝑖𝑛 𝑥 𝑓𝑡 0.5 𝑖𝑛 3 𝑓𝑡 = 1 𝑖𝑛 𝑥 𝑓𝑡 Step-by-Step Example AREA REVIEW. A floor plan for a home is shown at the left where inch represents 3 feet of the actual home. What is the actual area of the bathroom ? Find the length using the scale Find the width using the scale Find the area using length and width Length 0.5 𝑖𝑛 3 𝑓𝑡 = 2 𝑖𝑛 𝑥 𝑓𝑡 X = 12 feet 2. Width 0.5 𝑖𝑛 3 𝑓𝑡 = 1 𝑖𝑛 𝑥 𝑓𝑡 X = 3 feet 3. Area 12 x 3= 36 𝑓𝑡 2 Need Another Example?

Perimeter, Area, and Scale Factor If the scale of a floor plan is ¼ inch : 1 foot, what is the area of a master bedroom that measures 8 inches in length and 7 inches in width on the floor plan Find the length in feet Find the width in feet Find the area in feet

Perimeter, Area, and Scale Factor - Answer If the scale of a floor plan is ¼ inch : 1 foot, what is the area of a master bedroom that measures 8 inches in length and 7 inches in width on the floor plan Length 0.25 𝑖𝑛 1 𝑓𝑡 = 8 𝑖𝑛 𝑥 𝑓𝑡 X = 32 feet 2. Width 0.25 𝑖𝑛 1 𝑓𝑡 = 7 𝑖𝑛 𝑥 𝑓𝑡 X = 28 feet 3. Area 32 x 28 = 896 𝑓𝑡 2

A floor plan for a home is Step-by-Step Example SCALE AND PERIMETER REVIEW. A floor plan for a home is shown at the left where inch represents 3 feet of the actual home. What is the perimeter of the house? Find the total length using the scale Find the total width using the scale Find the perimeter using length and width Need Another Example?

0.25 𝑖𝑛 1 𝑓𝑡 = 9 𝑖𝑛 𝑥 𝑓𝑡 0.5 𝑖𝑛 3 𝑓𝑡 = 2.5 𝑖𝑛 𝑥 𝑓𝑡 Length 2. Width Step-by-Step Example SCALE AND PERIMETER REVIEW. A floor plan for a home is shown at the left where inch represents 3 feet of the actual home. What is the perimeter of the house? Find the total length using the scale Find the total width using the scale Find the perimeter using length and width Length 0.25 𝑖𝑛 1 𝑓𝑡 = 9 𝑖𝑛 𝑥 𝑓𝑡 X = 36 feet 2. Width 0.5 𝑖𝑛 3 𝑓𝑡 = 2.5 𝑖𝑛 𝑥 𝑓𝑡 X = 5 feet 3. Perimeter: 36 +36+5+5 = 82 feet Need Another Example?

Redrawing a shape with a different scale factor 2. A square garden has sides that are 15 feet in length. Using the graph on the answer document, draw a scale drawing of the garden using the scale of 3 𝑐𝑚 = 5 𝑓𝑡. Convert the feet to cm using the scale Redraw the square using the cm you just found!

Redrawing a shape with a different scale factor 2. A square garden has sides that are 15 feet in length. Using the graph on the answer document, draw a scale drawing of the garden using the scale of 3 𝑐𝑚 = 5 𝑓𝑡. Convert the feet to cm using the scale Redraw the square using the cm you just found! 9 cm 3 𝑐𝑚 5 𝑓𝑡 = 𝑥 𝑐𝑚 15 𝑓𝑡 X = 9 cm 9 cm

Redrawing a shape with a different scale factor 2. A patio has sides that are 10 feet in length and 5 feet wide. Using the graph on the answer document, draw a scale drawing of the garden using the scale of 2 𝑐𝑚 = 5 𝑓𝑡. Convert length and width from feet to cm using the scale Redraw the patio using the cm you just found!

Redrawing a shape with a different scale factor 2. A patio has sides that are 10 feet in length and 5 feet wide. Using the graph on the answer document, draw a scale drawing of the garden using the scale of 2 𝑐𝑚 = 5 𝑓𝑡. Convert length and width from feet to cm using the scale Patio scale drawing! 2 𝑐𝑚 5 𝑓𝑡 = 𝑥 𝑐𝑚 10 𝑓𝑡 length= 4 cm 2 𝑐𝑚 5 𝑓𝑡 = 𝑥 𝑐𝑚 5 𝑓𝑡 Width = 2 cm

Scavenger hunt Complete the scavenger hunt You will need a piece of paper for your responses When you are finished, make sure your classwork Quizizz is complete!