Program Information / [Lesson Title]
Finding Perimeter and Area of Polygons / TEACHER NAME
Andrea Karpiak / PROGRAM NAME
Mansfield City Schools – Adult & Community Ed
[Unit Title]
Perimeter and Area / NRS EFL(s)
2 – 4 / TIME FRAME
120 – 240 minutes
Instruction / ABE/ASE Standards – Mathematics
Numbers (N) / Algebra (A) / Geometry (G) / Data (D)
Numbers and Operation / A.2.2
A.2.10
A.3.9
A.4.4
A.4.6 / Operations and Algebraic Thinking / Geometric Shapes and Figures / G.3.5 / Measurement and Data
The Number System / Expressions and Equations / Congruence / Statistics and Probability
Ratios and Proportional Relationships / Functions / Similarity, Right Triangles. And Trigonometry / Benchmarks identified in RED are priority benchmarks. To view a complete list of priority benchmarks and related Ohio ABLE lesson plans, please see the Curriculum Alignments located on the Teacher Resource Center.
Number and Quantity / Geometric Measurement and Dimensions
Modeling with Geometry
Mathematical Practices (MP)
 / Make sense of problems and persevere in solving them. (MP.1) /  / Use appropriate tools strategically. (MP.5)
 / Reason abstractly and quantitatively. (MP.2) /  / Attend to precision. (MP.6)
 / Construct viable arguments and critique the reasoning of others. (MP.3) /  / Look for and make use of structure. (MP.7)
 / Model with mathematics. (MP.4) /  / Look for and express regularity in repeated reasoning. (MP.8)
LEARNER OUTCOME(S)
Student will be able to:
  • find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes
  • apply these techniques in the context of solving real-world and mathematical problems
/ ASSESSMENT TOOLS/METHODS
  • Student participation when filling out the Venn Diagram
  • Worksheets for solving perimeter and area
  • Jeopardy game with real-world application problems

LEARNER PRIOR KNOWLEDGE
  • Students should know basic two-dimensional shapes as well as basic geometric definitions such as: parallel, perpendicular, and intersecting lines.

INSTRUCTIONAL ACTIVITIES
  1. Begin this unit by creating a Venn Diagram either on your white board or chart paper. In one of the circles write “Perimeter.” In the second circle write “Area.” Make sure you have a middle overlapping section to write characteristics of both Perimeter and Area. Fill in any information that students already know about Perimeter and Area

  1. Pass out the Mathematics Formula Sheet & ExplanationEncourage your students to keep this reference and write down their own notes on it how they will find perimeter and area that is more user friendly for them.
  1. Watch Perimeter and complete the Venn Diagram.
  2. Explain how the video of perimeter relates to the formula sheet your students will receive when they take their GED test.
  1. Watch Area complete the Venn Diagram.
  1. Together fill out the overlapping section on the Venn Diagram and discuss how Perimeter and Area are the same.
  1. Use the Identify and Calculate the Area and Perimeter for each Polygon worksheet to review how to find area of squares and rectangles and relate that to the formula for finding the area of parallelograms and rhombuses.
  1. Use the Identify and Calculate the Area and Perimeter for each Polygon (triangles) worksheet to review how to find area of a triangle. Remind your students that a triangle is half of a square and that is where the ½ comes into play with the formula.
  1. Watch Area of a Trapezoid: How does the formula work?
  1. Have students complete the Identify and Calculate the Area and Perimeter for each Polygon worksheet for finding the area of trapezoids.
  1. Play the Jeopardy Review Game of Area and Perimeter
  2. Divide your students into equal small groups of 2-4
  3. Give each team and individual white board, marker, and eraser.
  4. Have students solve the problems and display their boards.
/ RESOURCES
White/chalk board or chart paper
Student copies of Venn Diagram (attached)
Student copies of Mathematics Formula Sheet & Explanation
Mathematics Formula Sheet & Explanation [PDF file]. (n.d.). Retrieved from
Computer with Internet access
Projector, ability to project
Speakers
Calculators for student use
Math Antics | Perimeter. (n.d.). Retrieved from
Math Antics | Area. (n.d.). Retrieved from
Identify and Calculate the Area and Perimeter for each Polygon. (n.d.). Retrieved from
Identify and Calculate the Area and Perimeter for each Polygon (triangles). (n.d.). Retrieved from
Area of a Trapezoid: How Does the Formula Work? (2012, February 09). Retrieved from
Area and Perimeter. (n.d.). Retrieved from
Individual dry erase boards, dry erase markers, and erasers for student use
Area and Perimeter. (n.d.). Retrieved from
DIFFERENTIATION
  • Tutorial videos allow student to visualize area and perimeter.
  • The worksheets allow students to solve problems using the formulas from the videos that correlate with their formula sheets from the GED Testing Service.
  • The calculator allows students to do basic mathematical computations.
  • Students can work individually or with a partner.
  • The Jeopardy game is a fun way to teach and work together.

Reflection / TEACHER REFLECTION/LESSON EVALUATION
Additional Information
Follow this plan with the Real World Application of Area, Volume, and Surface Area of Two and Three Dimensional Shapes lesson planin order to extend the understanding and sequence of measurements of shapes.
Scoreboost for the 2014 GED Test: Measurement and Geometry(available for loan though theOhio ABLE PDN Library) provides additional material.

Ohio ABLE Lesson Plan – Finding Perimeter and Area of Polygons

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