Stage 1-Desired Results
- Established Goals:
- NY Math 7.PS.6 -Represent problem situations verbally, numerically, algebraically, and graphically
- NY Math 7.PS.11-Work in collaboration with others to solve problems
- NY Math 7.PS.14- determine information required to solve the problem
- NY Math 7.RP.5- Develop, verify, and explain an argument, using appropriate mathematical ideas and language
- NY Math 7.CM.3- Organize and accurately label work
- NY Math 7.CM.10- Use appropriate language, representations, and terminology when describing objects, relationships, mathematical solutions, and rationale
- NY Math 7.A.6- Evaluate formulas for given input values (surface area, rate, and density problems)
- Understandings:
Students will understand that...
- The perimeter of a trapezoid is the same as any other geometric shape
- That the area of a trapezoid though similar to other shapes is different and they must be careful when using the formula
- That plotting the points of a trapezoid is the same procedure as any other shape
2. Essential Questions:
- How can we compare the perimeter formula of a trapezoid to the previous perimeter formulas we have recently learned?
- How is the trapezoid area formula similar to the triangle area formula?
- How is the trapezoid area formula similar to the parallelogram formula?
- Does it matter what base you use first in the formula? Why or why not?
- How do you know where the height is located in the trapezoid?
3. Students will know...
- Formulas for calculating perimeter and area of a trapezoid
- How to plot a trapezoid on a coordinate plane
4. Students will be able to...
- Calculate the perimeter and area of a trapezoid
- Plot a trapezoid on a coordinate plane
Stage 2-Assessment Evidence
- Performance Tasks:
- Students will plot a trapezoid on a coordinate grid (making sure to label all points graphed) and then find the perimeter of their trapezoid and calculate the area of their trapezoid. After they will give the points of their trapezoid to a classmate and have them plot, and calculate the perimeter and area and see if their answers match.
2. Other Evidence:
- Students will take notes throughout the class on examples done and of the video they will watch
- Students will be assigned a homework sheet on what they did in class
- Students will take a quiz on trapezoids
- Students will take a unit test on the perimeter and area of multiple geometric shapes
Stage 3-Learning Plan
- Learning activities:
- Remind students of what they did in the previous class (Classifying trapezoids) by putting up a do now question for them to do.
- Students will take notes and do a few examples on how to calculate the perimeter of a trapezoid.
- Students will Watch a short video (from math playground) on how to calculate the area of a trapezoid and they will take notes as they watch it.
- Students will then work on a few examples on the smart board on how to solve the area of a trapezoid and will explain to the class step on how they came up with their answer.
- Students will then take notes on how to plot and label a trapezoid on a coordinate plane.
- Students will then use the plotted trapezoid and solve the perimeter and area and show the class step by step on how they solved it.
- Students will then complete the activity previously mentioned in the performance tasks.