## Engage NY Eureka Math 7th Grade Module 1 Lesson 20 Answer Key

### Eureka Math Grade 7 Module 1 Lesson 20 Exploratory Challenge Answer Key

Inform students they will be working in pairs to create their dream classroom. The principal is looking for ideas to create spaces conducive to enjoyable and increased learning. Be as creative as you can be! Didn’t you always think there should be nap time? Now, you can create an area for it!

Allow each student to work at his or her own pace. Guidelines are provided in the Student Pages.

Exploratory Challenge: Your Dream Classroom

Guidelines

Take measurements: All students should work with the perimeter of the classroom as well as the doors and windows. Give students the dimensions of the room. Have students use the table provided to record the measurements.

Create your dream classroom, and use the furniture catalog to pick out your furniture: Students should discuss what their ideal classroom should look like with their partners and pick out furniture from the catalog. Students should record the actual measurements on the given table.

Determine the scale and calculate scale drawing lengths and widths: Each pair of students should determine its own scale. The calculation of the scale drawing lengths, widths, and areas is to be included.

Scale Drawing: Using a ruler and referring back to the calculated scale length, students should draw the scale drawing including the doors, windows, and furniture.

Scale: __

Answer:

Scale: __\(\frac{1}{120}\)__

Initial Sketch: Use this space to sketch the classroom perimeter, draw out your ideas, and play with the placement of the furniture.

Answer:

Scale Drawing: Use a ruler and refer back to the calculated scale length, draw the scale drawing including the doors, windows, and furniture.

Answer:

### Eureka Math Grade 7 Module 1 Lesson 20 Problem Set Answer Key

Interior Designer:

You won a spot on a famous interior designing TV show! The designers will work with you and your existing furniture to redesign a room of your choice. Your job is to create a top-view scale drawing of your room and the furniture within it.

→ With the scale factor being \(\frac{1}{24}\), create a scale drawing of your room or other favorite room in your home on a sheet of 8.5 × 11-inch graph paper.

→ Include the perimeter of the room, windows, doorways, and three or more furniture pieces (such as tables, desks, dressers, chairs, bed, sofa, and ottoman).

→ Use the table to record lengths and include calculations of areas.

→ Make your furniture “moveable” by duplicating your scale drawing and cutting out the furniture.

→ Create a “before” and “after” to help you decide how to rearrange your furniture. Take a photo of your “before.”

→ What changed in your furniture plans?

→ Why do you like the “after” better than the “before”?

Answer:

### Eureka Math Grade 7 Module 1 Lesson 20 Exit Ticket Answer Key

Question 1.

Your sister has just moved into a loft-style apartment in Manhattan and has asked you to be her designer. Indicate the placement of the following objects on the floorplan using the appropriate scale: queen-size bed (60 in. by 80 in.), sofa (36 in. by 64 in.), and dining table (48 in. by 48 in.) In the following scale drawing, 1 cm represents 2 ft. Each square on the grid is 1 cm².

Answer:

Queen Bed: 60 ÷ 12 = 5, 5 ÷ 2 = 2 \(\frac{1}{2}\)

80 ÷ 12 = 6\(\frac{2}{3}\), 6 \(\frac{2}{3}\)÷2=3 \(\frac{1}{3}\)

The queen bed is 2 \(\frac{1}{2}\) cm by 3 \(\frac{1}{3}\) cm in the scale drawing.

Sofa: 36 ÷ 12 = 3, 3 ÷ 2 = 1 \(\frac{1}{2}\)

64 ÷ 12 = 5 \(\frac{1}{3}\), 5 \(\frac{1}{3}\) ÷ 2 = 2 \(\frac{2}{3}\)

The sofa is 1 \(\frac{1}{2}\) cm by 2 \(\frac{2}{3}\) cm in the scale drawing.

Dining Table: 48 ÷ 12 = 4, 4 ÷ 2 = 2

The dining table is 2 cm by 2 cm in the scale drawing.

Question 2.

Choose one object and explain the procedure to find the scale lengths.

Answer:

Take the actual measurements in inches and divide by 12 inches to express the value in feet. Then divide the actual length in feet by 2 since 2 feet represents 1 centimeter. The resulting quotient is the scale length.