7th Math Unit 1 Day 20 - 10/2

Scale Model—Scott wants to build a scale model of a real castle in Scotland. According to him, 2 feet in the model corresponds to 100 feet in real life. The scale model of the castle garden he has built so far is a rectangle that is 3 feet wide and 4 feet long.

a. Draw a sketch of Scott’s model garden and label.

b. What is the area of the castle garden in real life?

Blueprints—Use the given blueprint to find real-life areas. Note:

“1 cm. on the scale drawing corresponds to 7 feet”.

a. What is the actual area of the bedroom?

Blueprints—Use the given blueprint to find real-life areas. Note:

“1 cm. on the scale drawing corresponds to 7 feet”.

b. What is the actual area of the entire apartment?

Poolside—The following is a scale drawing of a pool at a fancy

resort. Each square in the diagram is an inch. A small legend on the blueprint states that 2 inches in the drawing corresponds to 3.5 yards in real life.

a. How many square yards are covered by water (just the blue portion) in the pool?

"The area of the pool is..."

Challenge

Poolside—The following is a scale drawing of a pool at a fancy

resort. Each square in the diagram is an inch. A small legend on the blueprint states that 2 inches in the drawing corresponds to 3.5 yards in real life.

b. What is the actual area of the entire pool (including the border)?

"The area of the pool is..."

Sibling Rivalry--Abel, Babel, and Cabel are three brothers who live in a house together. 1/2 inch in the scale drawing corresponds to 6 feet in the actual home.

Babel says, "My room is tiny. It's not even 100 square feet." Is this true? Explain.

"Babel is (right / wrong) because..."

Sibling Rivalry--Abel, Babel, and Cabel are three brothers who live in a house together. 1/2 inch in the scale drawing corresponds to 6 feet in the actual home.

Cabel complains and says that his bedroom has a smaller area than Babel’s. Is he correct? Explain.

"Cabel is (right / wrong) because..."

Magnifique--Bincent Ban Boe was a famous painter and mathematician. He was known for sketching self-portraits on small pieces of paper before completing the final painting on a large canvas.

Bincent made a note that 4 centimeters on his sketch corresponds to 60 inches on the actual portrait.

If the dimensions of the small sketch are 3 cm by 5 cm, how many square inches would he have to cover with paint in his final portrait?

"He would have to paint over..."

CFS:

#1: Accurately computes the scale factor

#2: Accurately computes actual measurements using the scale factor

#3: Accurately computes actual area using the correct area formula