Lesson 19 | Percent and Scaling | 7th Grade Mathematics

Objective

Create a scale floor plan (optional).

Common Core Standards

Core Standards

The core standards covered in this lesson

7.G.A.1 — Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale.

Geometry

7.G.A.1 — Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale.

7.RP.A.3 — Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error.

Ratios and Proportional Relationships

7.RP.A.3 — Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error.

Foundational Standards

The foundational standards covered in this lesson

7.RP.A.2

Ratios and Proportional Relationships

7.RP.A.2 — Recognize and represent proportional relationships between quantities.

Criteria for Success

The essential concepts students need to demonstrate or understand to achieve the lesson objective

Sketch a floor plan to represent a real-life space.
Use actual measurements to determine an appropriate scale and draw scale images in a floor plan.
Use scale drawings and appropriate tools to model real-world spaces (MP.4 and MP.5).

Tips for Teachers

Suggestions for teachers to help them teach this lesson

This is an optional lesson where students can create their own scale floor plan for a classroom or a garden, depending on which activity is chosen. Three different options are included in the Problem Set Guidance; select one option to use with the class. For guidance in implementing the lesson, refer to the source of the activity. These activities will likely take up the whole class period; as a result, there is no additional Problem Set.

Lesson Materials

Graph Paper (2-3 sheets per student)
Ruler (1 per student)
Blank Paper (2-3 sheets per student)

Target Task

A task that represents the peak thinking of the lesson - mastery will indicate whether or not objective was achieved

Jin has a small backyard. He wants to add a few things to his backyard to use during the summer. The items and their dimensions are shown below.

Picnic table: $$96$$in × $$60$$in
Garden area: $$4$$ft × $$10\frac{1}{2}$$ft
Play house: $$36$$in × $$48$$in

A scale drawing of Jin’s backyard is shown below. In the space below, draw one possible way that Jin could place the items in his backyard.

Student Response

An example response to the Target Task at the level of detail expected of the students.

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Additional Practice

The following resources include problems and activities aligned to the objective of the lesson that can be used for additional practice or to create your own problem set.

Choose one of the options below. (As noted in the Tips for Teachers, these activities are designed to take up the whole class period and therefore there is no additional Problem Set.)

MARS Formative Assessment Lessons for Grade 7 Drawing to Scale: A Garden — Option 3: In this activity, students design a garden for a client. Note that this includes some geometry concepts that students may need additional support with, such as circles and volume.
Open Up Resources Grade 7 Unit 1 Lesson 13 — Option 2: In this activity, students create a scale drawing of their own classroom.
EngageNY Mathematics Grade 7 Mathematics > Module 1 > Topic D > Lesson 20 — Option 1: In this activity, students create scale drawings of their dream classroom.

Lesson 18

Lesson Map

Topic A: Percent, Part, and Whole

Define percent and convert between fractions, decimals, and percentages. Solve percent problems mentally with benchmark percentages.

7.RP.A.3

Find percent of a number when given percent and the whole.

7.NS.A.3 7.RP.A.3

Find the whole given a part and percent.

7.NS.A.3 7.RP.A.3

Find the percent given a part and the whole.

7.NS.A.3 7.RP.A.3

Topic B: Percent Increase and Decrease

Find a new amount given the original and a percent increase or decrease.

7.EE.A.2 7.RP.A.3

Find the original amount given a new amount after a given percent increase or decrease.

7.EE.A.2 7.RP.A.3

Find the percent of increase or decrease given the original and new amounts.

7.RP.A.3

Solve percent problems fluently, including percent increase and decrease.

7.EE.A.2 7.RP.A.3

Topic C: Percent Applications

Solve percent applications involving discount, tax, and tip.

7.EE.B.3 7.RP.A.3

Solve percent applications involving simple interest, commissions, and other fees.

7.EE.B.3 7.RP.A.3

Solve percent applications involving measurement and percent error.

7.EE.B.3 7.RP.A.3

Topic D: Scale Drawings

Define and identify scale images.

7.G.A.1

Define and determine scale factor between two scale images. Use scale factor to draw scale images.

7.G.A.1 7.RP.A.3

Use a scale to determine actual measurements.

7.G.A.1 7.RP.A.3

Use scales in maps to find actual distances between locations.

7.G.A.1 7.RP.A.3

Use scales in floor plans to find actual measurements and dimensions.

7.G.A.1 7.RP.A.3

Compute actual areas from scale drawings.

7.G.A.1 7.RP.A.3

Draw scale drawings at different scales.

7.G.A.1 7.RP.A.3

Create a scale floor plan (optional).

7.G.A.1 7.RP.A.3

Percent and Scaling

Objective

Common Core Standards

Core Standards

Geometry

Ratios and Proportional Relationships

Foundational Standards

Ratios and Proportional Relationships

Criteria for Success

Tips for Teachers

Lesson Materials

Target Task

Student Response

Additional Practice

Lesson Map

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