Scale Drawings - Grade 7
Suggested learning targets.
- I can solve problems involving scale drawings, when given scale.
- I can compute lengths and area from a scale drawing.
- I can reproduce the drawing of a different scale using a given scale drawing.
The following diagram shows an example of scale drawing. Scroll down the page for more examples and solutions on how to use scale drawings.
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Scale Drawings & Scale Factors Lesson Plan
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Scale Drawings Scale Factors Guided Notes & Doodles | Map Scale & Scaled Copies
Ever wondered how to teach Scale Drawings and Scale Factors in an engaging way to your 7th-grade students? In this lesson plan, students will learn about scale drawings, scale factors, scale models, cross products, proportions and their real-life applications.
Through artistic, interactive guided notes, check for understanding, a maze worksheet, color by number, and a real-life application example, students will gain a comprehensive understanding of scale drawings and scale factors.
- Grade : 7th Grade
- Standard : CCSS 7.G.A.1
- Type : Lesson Plans
Learning Objectives
After this lesson, students will be able to:
Define scale drawings, scale factors, scale models, and map scales
Solve problems involving map scales, scale factors, and scale drawings using cross products and proportions
Determine the scale factors of two similar figures
Identify real life application of scale drawings like creating blueprint for a building
Prerequisites
Before this lesson, students should be familiar with:
Basic multiplication and division skills
Understanding of the concepts of factors and multiples
Basic understanding of equivalent fractions
Colored pencils or markers
Scale Drawings and Scale Factors Guided Notes
Key Vocabulary
Scale drawing
Scale factor
Scale model
Proportions
Cross products
Similar figures
Introduction
As a hook, ask students why architects use blueprints when designing new buildings. This lesson plan will teach students about scale drawings and scale factors, which are used by architects and other professionals to create blueprints and models of structures before they are built.
Use the guided notes to introduce scale drawings and scale factors. Walk through the key definitions of scale drawings and proportions in the guided notes. Refer to the FAQ below for a walk through on this, as well as ideas on how to respond to common student questions.
Have students walk through the “You Try!” section. Call on students to talk through their answers, potentially on the whiteboard or projector. Based on student responses, reteach concepts that students need extra help with.
Based on student responses, reteach concepts that students need extra help with. If your class has a wide range of proficiency levels, you can pull out students for reteaching, and have more advanced students begin work on the practice exercises.
Have students practice solving problems involving scale factors and scale drawings using the maze worksheet. Walk around to answer student questions.
Fast finishers can dive into the Color by Number activity for extra practice. You can assign it as homework for the remainder of the class.
Real-Life Application
Bring the class back together, and introduce the concept of using scale drawings to create blueprints for buildings. Show examples of blueprints and how they are used in the construction of buildings. Refer to the FAQ for more ideas on how to teach this topic!
Additional self-checking digital practice
"If you’re looking for digital practice for Scale Drawings and Scale Factors, try my Pixel Art activities in Google Sheets. Every answer is automatically checked, and correct answers unlock parts of a mystery picture. It’s incredibly fun, and a powerful tool for differentiation.
Here are 1 activity to explore:
Similar Figures and Map Scale Drawings 2 Pixel Art
Additional print practice
A fun, no-prep way to practice scale drawings and scale factors is Doodle & Color by Number — they’re a fresh take on color by number or color by code. It includes multiple levels of practice, perfect for a review day or sub plan.
Scale Drawings Map Doodle Math Twist on Color by Number
What are scale drawings? Open
Scale drawings are proportional 2D representations of real-life objects or spaces, where the dimensions of the drawing are proportional to the actual dimensions of the object or space. They are used in a variety of fields, including architecture, engineering, and design.
What is a scale factor? Open
A scale factor is a mathematical ratio that compares the dimensions of a real-life object or space to the dimensions of its scale drawing. It is usually expressed as a fraction or a decimal.
What is the relationship between scale drawings and real-life objects or spaces? Open
In a scale drawing, the dimensions of the drawing are proportional to the actual dimensions of the object or space. This means that if you know the scale factor and the dimensions of the drawing, you can calculate the dimensions of the real-life object or space, and vice versa.
What is a map scale? Open
A map scale is a type of scale drawing that represents a geographic area, such as a city or a country. Map scales are used to create maps that accurately represent the size and location of geographic features.
What are cross products? Open
In the context of scale drawings, cross products are a method for solving proportions. To solve a proportion using cross products, you multiply the numerator of one fraction by the denominator of the other fraction, and then set the two products equal to each other.
What are similar figures? Open
Similar figures are figures that have the same shape but different sizes. In other words, they are proportional to each other. This means that you can use scale factors and scale drawings to compare and measure similar figures.
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scale drawings practice
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Scale drawings practice
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Course: 7th grade > Unit 8
- Scale drawings
- Scale drawing: centimeters to kilometers
Interpreting a scale drawing
- Scale drawing word problems
- Creating scale drawings
- Making a scale drawing
- Construct scale drawings
- Scale factors and area
- Solving a scale drawing word problem
- Relate scale drawings to area
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Video transcript
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Solving Area Problems Using Scale Drawings
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- Grade 7 Mathematics Module 4, Topic C, Lesson 15: Student Version
- Grade 7 Mathematics Module 4, Topic C, Lesson 15: Teacher Version
Prerequisites
- CCSS Standard:
Related Guides and Multimedia
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Lesson 4 Homework Practice Scale Drawings
Lesson 4 Homework Practice Scale Drawings - Displaying top 8 worksheets found for this concept.
Some of the worksheets for this concept are Name date period homework practice, Grade math detail lesson plan wednesday january 4, Exercises extra, Chapter 7 resource masters, Reteach and skills practice, Lesson plan 8 drawing to scale, Scale drawings and scale factor, Lesson 4 problem solving practice.
Found worksheet you are looking for? To download/print, click on pop-out icon or print icon to worksheet to print or download. Worksheet will open in a new window. You can & download or print using the browser document reader options.
1. NAME DATE PERIOD Homework Practice
2. grade math detail lesson plan wednesday, january 4 ..., 3. exercises extra practice., 4. chapter 7 resource masters -, 5. reteach and skills practice, 6. lesson plan 8 drawing to scale, 7. scale drawings and scale factor -, 8. lesson 4 problem-solving practice -.
IMAGES
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COMMENTS
1) A scale drawing has a scale of 1 in = 11 ft. Find the actual length for each drawing length. Find each drawing length for the actual map distances given below. 3) On an architect's drawing of a house, 1 inch represents 1.5 feet. If the bedroom window is 5 inches long on the drawing and 4 inches wide...
Practice. Explore scale copies Get 3 of 4 questions to level up! ... Lesson 7: Scale drawings. Learn. Scale drawings (Opens a modal) Practice. ... Solving a scale drawing word problem (Opens a modal) Quiz 2. Level up on the above skills and collect up to 160 Mastery points Start quiz.
Flag. evchung21. 10 months ago. #1- If diagram A is the scaled image of diagram B, then diagram B is the original. If you were to set up a ratio, it would look something like this: 3 : 4. x : 7.2. Using this, you can figure out x. 7.2 / 4 = 1.8, which you multiply by 3 to get 5.4 (which is the answer). #3- They tell you the scale is 1 : 180.
Scale drawings. A scale on a blue print drawing of a house shows that 6 centimeters represents 3 meters. What number of centimeters on the blue print represents an actual distance of 27 meters? Learn for free about math, art, computer programming, economics, physics, chemistry, biology, medicine, finance, history, and more.
Lesson 4 Problem-Solving Practice Scale Drawings 1. CARS A scale drawing of an automobile has a scale of 1 inch = −1 foot. The 2 actual width of the car is 8 feet. What is the width on the scale drawing? 2. MODELS A model ship is built to a scale of 1 centimeter : 5 meters. The length of the model is 30 centimeters. What is
Lesson 4 Problem-Solving Practice Scale Drawings 1. CARS A scale drawing of an automobile has a scale of 1 inch = centimeter : 5 meters. The length of the model is 30 foot. The actual width of the car is 8 feet. What is the width on the scale drawing? 2. MODELS A model ship is built to a scale of 1 centimeters. What is the actual length of the ...
The block is a square with an area of 8100 m 2. Create a scale drawing of the block using a scale factor of 0.1. Show Step-by-step Solutions. Scale Drawings and Scale Models. Examples: 1. The Scale on the map is "1" = 10 mile. You measure the distance from your house to State College, and it measure 3.25".
In these worksheets, your students will solve word problems that involve scale. They will determine scale in order to replicate something in a different size. There are six worksheets in this set. This set of worksheets contains lessons, step-by-step solutions to sample problems, both simple and more complex problems, a review, and a quiz.
This lesson plan will teach students about scale drawings and scale factors, which are used by architects and other professionals to create blueprints and models of structures before they are built. ... Have students practice solving problems involving scale factors and scale drawings using the maze worksheet. Walk around to answer student ...
Standardized Test Practice Vocabulary Review Lesson Resources Extra Examples Personal Tutor Self-Check Quizzes. Hotmath Homework Help Math Review Math Tools Multilingual Glossary Online Calculators Study to Go. Mathematics. Home > Chapter 6 > Lesson 4. Pre-Algebra. Chapter 6, Lesson 4: Scale Drawings and Models ... To report a technical problem ...
Four practice worksheets are included in this set, which can be used to practice or review working with scale drawings. They cover the following Common Core Standard (7.G.A.1): CCSS.MATH.CONTENT.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.
lesson 15: Solving Area Problems Using Scale Drawings. Our professional learning resources include teaching guides, videos, and podcasts that build educators' knowledge of content related to the standards and their application in the classroom. Students solve problems in which the scale factor is represented by a percent.
10. For Question 7, the scale factor of A to B is 2 to 7. Set it up as a proportion of A/B = 2/7 = 6/X. Solving the proportion gives X = 21. Lesson 46 Activity 2: Scale Drawings Word Problems Time: 40 Minutes 1. Do the problems on pages 104-105 in the student book together. 2. Have a few students do some of the problems on the board. 3.
scale drawing. a drawing that uses a scale to represent an object as smaller or larger than the original object. Scale Model. An enlarged or reduced representation of an object that is usually intended for study purposes. Scale. Specify a percentage of original size to enlarge or reduce the size of an object. Scale Factor.
The scale of a drawing is 1 4 in. 6 ft. Find the actual measurement. 3. 4 in. 4. 3 in. 5. 1 in. 6. 2.75 in. The scale is 1 cm 25 m. Find the length each measurement would be on a scale drawing. 7. 50 m 8. 225 m 9. 375 m 10. 150 m 11. A square has a perimeter of 60 ft. A scale drawing of the figure is made with a scale of 1 3 in. 5 ft. What is ...
Lesson 4 Skills Practice Scale Drawings - Displaying top 8 worksheets found for this concept.. Some of the worksheets for this concept are Scale drawings and models, Scale drawings and scale factor, Edition mathematics, A guide to scale and map work, Name date period homework practice, Study guide and intervention workbook, Scale and dimensioning architectural board drafting, Science grade ...
Ok a blueprint example. Lets say 1 inch on the drawing is the same as 2 feet in the real world. So, what's the area of a room that is on the drawing 6 inches by 5 inches. Well convert to the real world area first, so 6 inches = 12 feet and 5 inches = 10 feet. Multiply 12 by 10 and the area of the room is 120 square feet.
MATH G7: Solving Area Problems Using Scale Drawings. Math / Grade 7 / Module 4 / Topic C / Lesson 15. lesson 15.
Lesson 4 Homework Practice Scale Drawings - Displaying top 8 worksheets found for this concept.. Some of the worksheets for this concept are Name date period homework practice, Grade math detail lesson plan wednesday january 4, Exercises extra, Chapter 7 resource masters, Reteach and skills practice, Lesson plan 8 drawing to scale, Scale drawings and scale factor, Lesson 4 problem solving ...
Standardized Test Practice Vocabulary Review Lesson Resources Extra Examples Group Activity Cards Personal Tutor ... Visual Vocabulary Cards Online Calculators Study to Go. Mathematics. Home > Chapter 4 > Lesson 10. Indiana Math Connects: Concepts, Skills, and Problem Solving, Course 3. Chapter 4, Lesson 10: Scale Drawings and Models. Extra ...
Additions and changes to the original content are the responsibility of the instructor. 164. Similar Shapes and Scale Drawings. Practice and Problem Solving: A/B. 1. The plan of a terrace is shown at right. The scale is 2 inches : 6 feet. What are the length and width of the terrace? Find the terrace's area.
Standardized Test Practice Vocabulary Review Lesson Resources Extra Examples Group Activity Cards Personal Tutor ... Visual Vocabulary Cards Online Calculators Study to Go. Mathematics. Home > Chapter 4 > Lesson 10. South Carolina Math Connects: Concepts, Skills, and Problem Solving, Course 3. Chapter 4, Lesson 10: Scale Drawings and Models ...
Find Areas Using Scale Drawings. Practice finding areas using scale drawings with this seventh-grade geometry worksheet! In this one-page worksheet, students are shown how to write and solve proportions to determine the actual dimensions of an object in a scale drawing, as well as how to find the area of the object.