The Patio
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engage students in learning a concept or skill using a digital tool/resource.
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This learning activity provided by:
Author:
Michelle Frye
System: Blount County School: Hayden Elementary School
General Activity Information
Activity ID:
2892
Title: The Patio
Digital Tool/Resource: The Patio - slideshow
Web Address – URL:
Overview: In this authentic learning task students are designing a rectangular patio using 40 patio stones. This task will have many answers, but students will choose the design they like best. Students will use that design to determine the perimeter in part two of the problem.
Associated Standards and Objectives
Content Standard(s):
Mathematics 24. Construct rectangles with the same perimeter and different areas or the same area and different perimeters.
Unpacked Content
Evidence Of Student Attainment:
Students:
Identify rectangles with the same perimeter and different areas or the same area and different perimeters.
Construct rectangles with the same perimeter and different areas or the same area and different perimeters. Teacher Vocabulary:
Perimeter
Area
Side length
Side measure Knowledge:
Students know:
Perimeter is a measurable attribute of rectangles.
Area is a measurable attribute of rectangles. Skills:
Students are able to:
Construct rectangles with a given perimeter.
Construct rectangles with a given area.
Construct rectangles with the same perimeters but differing areas.
Construct rectangles with the same areas but differing perimeters. Understanding:
Students understand that:
Perimeter and area are measurable attributes of rectangles.
Perimeter is the distance around a figure found by adding side lengths.
The area of a plane figure is measured by the number of square units that cover the interior space of the rectangle. Diverse Learning Needs:
Essential Skills:
Learning Objectives: M.3.24.1: Define perimeter.
M.3.24.2: Recall the formula for perimeter (P= L+L+W+W or P=2L + 2W).
M.3.24.3: Recall basic addition and multiplication facts.
M.3.24.4: Build and draw shapes to possess defining attributes.
M.3.24.5: Express the length of an object as a whole number of length units by laying multiple copies of a shorter object (the length unit) end to end; understand that the length measurement of an object is the number of same-size length units that span it with no gaps or overlaps.
M.3.24.6: Describe measurable attributes of objects such as length or weight.
Prior Knowledge Skills:
Recall doubles addition facts.
Model written method for composing equations.
Alabama Alternate Achievement Standards
AAS Standard:
Learning Objectives: I can construct rectangles with the same perimeter and different areas or the same area and different perimeters.
Strategies, Preparations and Variations
Phase: During/Explore/Explain
Activity: In the activity, The Patio , the students will actively use their knowledge of area and perimeter. The teacher will display the slideshow and give each student graph paper to record their designs. The students have 40 patio stones to arrange in a rectangle. The students will answer and complete the following:
What are all the different ways they can arrange their stones?
Record your solutions on your grid paper.
After sufficient time, the teacher will move to the second part of the task (slide 3). On this slide, students are given information to help them determine the perimeter of their patio. The students will complete the following:
Choose your favorite layout and determine how much border they will need to complete the project.
Essential questions for teachers are included in the notes section of the slideshow.
Assessment Strategies: Teachers will observe student responses to determine student understanding of the concept and skill. You can use the following guidelines to ensure students meet the learning objective.
Check that the student:
1. can design a rectangular shape using 40 stones.
2. can find all the ways to arrange 40 stones.
3. can find the perimeter of their design.
4. can recognize that the definition of area and perimeter differ.
Advanced Preparation: The teacher will need a computer and projector to display the slideshow. Each student will need graph paper and a pencil.
Variation Tips (optional): Students may use color tiles to build the concrete model before recording their designs on graph paper.
Notes or Recommendations (optional):
Keywords and Search Tags
Keywords and Search Tags:
area, perimeter
