NTeQStudent Centered

Lesson

Exploring Area and Perimeter

Objectives

Students will:

-Explore the perimeter and area through manipulation of length and width of rectangles.

-Develop an algorithm for determining the area and perimeter of a rectangle with given measurements.

-Analyze the results of data.

-Formulate a testable theorem related to rectangular length and width manipulation.

Common Core Standards:

5.C.1: Multiply multi-digit whole numbers fluently using a standard algorithmic approach.

5.M.2: Find the area of a rectangle with fractional side lengths by modeling with unit squares of the appropriate unit fraction side lengths, and show that the area is the same as would be found by multiplying the side lengths. Multiply fractional side lengths to find areas of rectangles, and represent fraction products as rectangular areas.

5.DS.1: Formulate questions that can be addressed with data and make predictions about the data. Use observations, surveys, and experiments to collect, represent, and interpret the data using tables (including frequency tables), line plots, bar graphs, and line graphs. Recognize the differences in representing categorical and numerical data.

Technology Standards (NETS-S)

1. Creativity and innovation Students demonstrate creative thinking, construct knowledge, and develop innovative products and processes using technology. a. Apply existing knowledge to generate new ideas, products, or processes b. Create original works as a means of personal or group expression c. Use models and simulations to explore complex systems and issues d. Identify trends and forecast possibilities

Critical thinking, problem solving, and decision making Students use critical thinking skills to plan and conduct research, manage projects, solve problems, and make informed decisions using appropriate digital tools and resources. a. Identify and define authentic problems and significant questions for investigation b. Plan and manage activities to develop a solution or complete a project c. Collect and analyze data to identify solutions and/or make informed decisions d. Use multiple processes and diverse perspectives to explore alternative solution

Area and Perimeter Introductory Activity Materials: (groups of 2)

• Data Collection Sheet• Tape measure • ruler

Procedure: (10 minutes)Groups of 2 students measure the length, width and perimeter of rectangular objects in classroom Record measurements on the Data Collection sheet.

Analysis: • How can the area of a rectangle be determined by these measurements?• Is there a way to determine the perimeter of a rectangle without measuring all the sides?• What relationship does the length and width of a rectangle have to the area?

Area and Perimeter Lessons

Video Lesson 4th Grade Lesson

Khan Academy Perimeter Lesson

Materials and Links

Interactive Area and Perimeter Lesson

Interactive Geoboard lessons

Web Resources:

Teacher Provided Materials:Geoboards and bands (1 set per 2 students)

Worksheets and Graphs:

Geo-board activity data sheet

IXL.com practice and evaluation application

Comparing areas and perimeters

Practice and Evaluation

Websites to visit for practice:Cover the Graph Paper Game

Materials:• 2 number cubes, 1 sheet of graph paper per player, colored markersObject: • Cover the entire graph paper grid with rectangles obtained by rolling the diceMethod: • Players roll the dice, multiply the numbers, and color in the area on their sheetRules: • Areas cannot overlap• Areas colored must equal the multiple of the 2 dice• The multiple can be drawn as an area in any way that makes a rectangle• An area of 4 can be drawn as a 4 by 1 rectangle or a 2 by 2 rectangle

Geoboard App for i-Pad

References:

https://www.khanacademy.org/math/pre-algebra/measurement/perimeter/v/introduction-to-perimeter

https://www.youtube.com/watch?v=kiBjLWLN3j4

http://www.mathplayground.com/area_perimeter.html

http://www.mathplayground.com/geoboard.html

http://www.ixl.com/math/grade-4/area-of-squares-and-rectangles

http://www.ixl.com/math/grade-4/compare-area-and-perimeter-of-two-figures

International Society for Technology in Education (ISTE). (2007). National education technology standards for students (NETS-S). Eugene, OR: Author.

Indiana Department of Education Common Core Standards – 5th Grade Mathematics PDF http://www.doe.in.gov/sites/default/files/standards/mathematics/2014-06-26-math-g7-architecturewith-front-matter.pdf

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