assignment 2 room area

Area of Rooms

Related Topics: Lesson Plans and Worksheets for Grade 3 Lesson Plans and Worksheets for all Grades Common Core For Grade 3 More Lessons for Grade 3 Math

Examples, solutions, and videos to help Grade 3 students learn how to apply knowledge of area to determine areas of rooms in a given floor plan. Common Core Standards: 3.MD.6, 3.MD.7a, 3.MD.7b, 3.MD.7c, 3.MD.7d, 3.MD.5

New York State Common Core Math Grade 3, Module 4, Lesson 15, Lesson 16

Worksheets for Grade 3

Lesson 15 Application Problem Anil finds the area of a 5 inch by 17 inch rectangle by breaking it into 2 smaller rectangles. Show one way that he could have solved the problem. What is the area of the rectangle?

Note: This problem reinforces the strategy of breaking a larger shape apart into 2 smaller shapes to find the total area.

Lesson 15 Concept Development Use a floor plan to find the area in square centimeters of each room in the house.

Lesson 15 Homework Use a ruler to measure the side lengths of each lettered room in centimeters. Then find the area. Use the measurements below to match and label the rooms with the correct areas. Kitchen - 28 square centimeters, Garage - 72 square centimeters Porch - 32 square centimeters, Bedroom - 56 square centimeters Bathroom - 24 square centimeters, Hallway - 12 square centimeters

Lesson 16 Application Problem Find the areas of the large rectangle and the unshaded rectangle. Then subtract to find the area of the shaded region.

Lesson 16 Concept Development Create a floor plan with different side lengths for given areas. Review strategies to find new side lengths of given areas.

Lesson 16 Homework Jeremy plans and designs his own dream playground on grid paper. His new playground will cover a total area of 72 square units. The chart shows how much space he gives for each piece of equipment, or area. Use the information in the chart to draw and label a possible way Jeremy can plan his playground.

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Introduction

Whether you’re looking to lay new flooring, paint your walls, or simply need to estimate the space you have available in a room, calculating its area is an essential skill. In this article, we will guide you through the simple steps to calculate the area of a room in various shapes.

Step 1: Determine the Shape of Your Room

The first step is to identify the shape of your room, as this will determine which formula is best suited for calculating its area. Common room shapes include:

– Rectangular

– Square

– L-shaped

– Trapezoidal

– Circular

Step 2: Measure the Necessary Dimensions

Now that you’ve identified the shape of your room, it’s time to measure its dimensions.

For Rectangular and Square Rooms:

– Measure the length and width of the room in feet or meters (whichever unit you prefer).

For L-Shaped Rooms:

– Divide the room into two rectangles by drawing an imaginary line across its central diagonal.

– Measure the length and width of each rectangle separately.

For Trapezoidal Rooms:

– Measure both parallel sides (base and top) and perpendicular height of the trapezoid.

For Circular Rooms:

– Measure the diameter (the distance across the circle through its center point).

Step 3: Apply Appropriate Formulas

After obtaining all necessary measurements, it’s time to apply a specific formula for each room shape to calculate its area.

Area = Length × Width

Area = (Length1 × Width1) + (Length2 × Width2)

Area = ½ × (Base + Top) × Height

Area = π × (Diameter/2)^2 or Area = π × Radius^2

*Note: π (pi) is a constant value approximately equal to 3.14159.

Step 4: Calculate the Area

Plug your measurements into the appropriate formula and calculate the area of your room.

For a rectangular room with a length of 20 feet and a width of 12 feet, the area would be:

Area = 20 ft × 12 ft = 240 square feet

Calculating the area of a room is a straightforward process once you’ve identified the room’s shape and taken accurate measurements. By following these simple steps, you will be able to determine the exact area of any room, allowing you to make informed decisions for renovation projects or space planning.

How to Calculate the Area of a ...

Matthew Lynch

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Dream Room Design

Students will explore length, width, perimeter, and surface area, convert measurements, and work with 2-d representations of 3-d objects..

App: Wixie™

Are you satisfied with the design of your bedroom? Have you seen advertisements for posters, TVs, or a bed you just have to have? Your parents are never going to give you your dream room, unless you can accurately describe the items in it and why they are necessary. Using measurement skills, create your own dream bedroom design!

Introduce the concepts of length, width, and perimeter to your students. Make sure that they know how to determine the surface area for simple rectangular shapes (width x length).

Have them practice their measurement skills in your classroom, determining the dimensions of your classroom and objects in it, such as your desk, student desks, and any chairs, tables, and bookcases.

If you are working with older students, teach them how to find the area of polygons by breaking them into component shapes and estimating.

Assign students to take some basic measurements in their rooms at home and calculate the square footage. Have them measure some common bedroom elements such as beds and dressers.

Brainstorm with your class the elements a bedroom might have, such as bed, dresser, and television. Which items are needs and which are desires? What should a bedroom do for the occupant? If it contains a bed, do all beds have to be exactly the same?

Have students begin by creating a paper sketch of their dream room. You might create a worksheet that has a 12 x 12 room with gridlines every 6 inches.

The designs should include major elements that make it obvious this is a bedroom, like a place to sleep and a place to store clothes. Encourage them to think about accurate or appropriate space between objects.

You may also ask them to add architectural details such as power outlets, doors, windows, cable access, and telephone access. How will they designate these items in their drawing? How will they show them to scale? Have students develop a key for their design using shapes and color.

Once students have a general idea of their room’s layout, have them launch Wixie to complete their design to scale. They can create from a grid template to create accurate and appropriately sized representations of objects like rugs, dressers, beds, and desks.

Encourage them to use colors and add text descriptors for clarification. When their visual design is complete, have students add a page, or pages that includes a description of their dream room and the objects in it.

If students are new to descriptive writing, talk about putting together a descriptive paragraph. You can use the burger analogy - the meat, or main idea, of their paragraph, surrounded by juicy details, held together by the bun of introductory and concluding sentences.

Have students use the text in their descriptive essay, along with a picture of their dream room, to share their design ideas with the rest of the class. After all the students have presented, discuss the ideas you liked the best. If you have adequate time, let students duplicate the page with their design and make adjustments based on other students ideas and feedback.

Return to your brainstorm about what makes a bedroom. Compare what the students have included in their designs to the elements they came up with on their list. Have the students’ opinions changed about what a bedroom should contain or be?

Use the students’ measurements of their room to determine if they understand how to take measurements and determine surface area.

Use the design sketch and Share file to evaluate students’ ability to convert measurements, draw objects to scale, create 2-D representations of 3-D objects.

Evaluate their room description for the use of descriptive adjectives, voice, and organization.

Hallam, Linda. Decorating Kids’ Rooms: Nurseries to Teen Retreats. ISBN: 069620729X.

Brunetto, Carolyn Ford. MathART Projects and Activities. ISBN: 0590963716

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Common Core State Standards for Mathematics

CCSS.MATH.CONTENT.3.MD.C.5

Recognize area as an attribute of plane figures and understand concepts of area measurement.

CCSS.MATH.CONTENT.3.MD.C.7.A

Find the area of a rectangle with whole-number side lengths by tiling it, and show that the area is the same as would be found by multiplying the side lengths.

CCSS.MATH.CONTENT.3.MD.C.7.B

Multiply side lengths to find areas of rectangles with whole-number side lengths in the context of solving real world and mathematical problems, and represent whole-number products as rectangular areas in mathematical reasoning.

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.

CCSS.MATH.CONTENT.7.RP.A.2

Common Core Anchor Standards for English Language Arts - Grade 3-6

Speaking and Listening Standards

Presentation of Knowledge and Ideas

4. Present information, findings, and supporting evidence such that listeners can follow the line of reasoning and the organization, development, and style are appropriate to task, purpose, and audience.

5. Make strategic use of digital media and visual displays of data to express information and enhance understanding of presentations.

ISTE NETS for Students 2016:

4. Innovative Designer Students use a variety of technologies within a design process to identify and solve problems by creating new, useful or imaginative solutions. Students:

d. exhibit a tolerance for ambiguity, perseverance and the capacity to work with open-ended problems.

6. Creative Communicator Students communicate clearly and express themselves creatively for a variety of purposes using the platforms, tools, styles, formats and digital media appropriate to their goals. Students:

a. choose the appropriate platforms and tools for meeting the desired objectives of their creation or communication.

b. create original works or responsibly repurpose or remix digital resources into new creations.

d. publish or present content that customizes the message and medium for their intended audiences.

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