Lauren Mitchell, Stefanie Martino

Your measurements are only as accurate as the tools you use. There are relationships between different shapes’ areas and perimeters. Customary, metric, and non-standard units are used to approximate and compute measurements and communicate their validity.

Objective: The learner will investigate the different measuring tools and be able to choose the most effective for a given object. Learning Strategies: Hands-on, Quad-Entry Diary, Think-Pair-Share, Exit Slip

Objective: The learner will calculate the perimeter of a given geometric figure and discuss the relationships between different object’s perimeters. Learning Strategies: Think-Pair-Share, Quad- Entry Diary, Exit Slip Tools: Perimeter Explorer, Spaghetti and Meatballs for All by Marilyn BurnsPerimeter Explorer

Objective: The learner will measure using the metric system and convert within that system. Also, they will discuss the unit of measurement most appropriate for a given situation and why. Learning Strategies: Think-Pair-Share, Quad- Entry Diary, Hands-On Tools: Millions to Measure by David Schwartz

Objective: The learner will demonstrate the different types of squares and rectangles using geoboards and note the changes in its area and perimeter. Learning Strategies: Hands-on (kinesthetic learners), Quad-Entry Diary Tools: Geoboards

Objective: The learner will find the area of triangles and discuss the relationship between the area of triangles with the area of squares and rectangles. Learning Strategies: Quad-Entry Diary, Hands-on, Think-Pair-Share Tools: Geoboards, Triangle ExplorerTriangle Explorer

Objective: The learner will discuss the relationship between the area of rectangles and triangles with the area of parallelograms. They will work on a computer using a program which lets them construct shapes and visually see these relationships. Learning Strategies: Bell-ringer, Quad-Entry Diary Tools: Geometer’s Sketchpad

Objective: The learner will demonstrate the origin of pi by measuring the circumference and diameter of different objects. The learner will create the equation to find the circumference of a circle, given its diameter or radius. Learning Strategies: Cooperative Learning, Quad-Entry Diary, Hands-on, Exit Slip Tools: The Joy of Pi by David Blatner

Objective: The learner will develop the formula for the area of a circle by manipulating circles and seeing the relationship between them and parallelograms/rectangles. Learning Strategies: Hands-on, Quad-Entry Diary, Different Learning Styles, Exit Slip

Objective: The learner will find the area of any irregular figures and discuss the relationship between irregular figures and regular polygons. Learning Strategies: Bell-ringer, Think-Pair- Share Tools: Geometer’s Sketchpad

Objective: The learner will investigate tangrams in order to find each shape’s perimeter and area. They will also notice the relationship between previous teachings and the activity presented. Learning Strategies: Hands-on, Cooperative Learning, Exit Slip Tools: Tangrams, Grandfather Tang’s Story by Ann Tompert

Goal: Students will create their “dream apartment” using their prior knowledge on area and perimeter of different shapes. They must create the layout and incorporate furniture, appliances, rugs, and other necessary household items. Role: Students are creating a layout to present to an architect and interior designer to express their idea of a “dream apartment.” Audience: The architect and interior designer that students are showing their layout to will decide whether their calculations and scale are correct and if this apartment can be constructed. Situation: The student recently inherited a large quantity of money and would like to build their own apartment, not merely rent one already built. Performance: Students will use graphing paper and construct the layout of their “dream apartment,” making sure the objects are to scale and each item’s perimeter and area are calculated accurately. Standards: Is the layout realistic? What level of difficulty is their layout? Are the area’s and perimeter’s of the objects correctly calculated and shown? Are the objects to scale? Is there a scale shown? Is the final result neat, messy?