Students will use find the areas of trapezoids using several methods. Methods used are: counting square units, estimating by counting square units, using a formula. Students will also be able to find the height given the area and the dimensions of the two bases.
Standard 3: Technology Productivity Tools
Use technology devices to collect and record data
Manipulate several variables to achieve a desired outcome
S4C401 – Solve problems for the area of trapezoids.
Strand 4: Geometry and Measurement
- Every student should understand and use all concepts and skills from the previous grade levels. The standards are designed so that new learning builds on preceding skills and are needed to learn new skills. Communication, Problem-solving, Reasoning & Proof, Connections, and Representation are the process standards that are embedded throughout the teaching and learning of mathematical strands
Concept 4: Measurement - Units of Measure
Understand and apply appropriate units of measure, measurement techniques, and formulas to determine measurements.
- PO 1 Solve problems for the area of a trapezoid.
Students will define what area of a trapezoid represents and be able to solve problems for the area of a trapezoid.
Students will manipulate variables in a web-based simulation to calculate the area of a trapezoid.
Pre-Requisite Technology
Use basic vocabulary related to technology
Demonstrate respect for other students while using technology
Demonstrate appropriate behaviors
Access information sources
Computer
Projector
Worksheets
Graph paper
Scissors
Calculators
Computer Lab
Review area of square and triangle. Show streaming video of area of Trapezoid. Then break into groups and work on solving area problems.
Process
Based on student readiness (MAP scores)
Review of formulas used for area of square and triangle.
Square: A = lw Triangle: A = 1/2 bh
View streaming video on Area of Trapezoid. www.unitedstreaming.com
Break into groups.
Group 1 (RIT Range 201-210) will cut out trapezoids on graph paper and count the squares to determine area. Then apply the formula to check their answers.
Group 2 (RIT Range 211-220) will draw trapezoids on graph paper then count the squares to determine area. Then apply the formula to check their answers. After successfully completing 5 problems they will go to the computer lab and do problems on http://www.mathgoodies.com/lessons/vol1/area_trapezoid.html
The web page gives them problems to solve where they have to find the area given the dimensions of the trapezoid, or find the missing dimension given the area and the two bases. Once they have a correct answer for each problem they should print the page and hand it in. The printout will show the problems they were given, their solution and whether or not it was correct.
Group 3 (RIT Range 221-230) will go to the computer lab and complete the problem on http://www.mathgoodies.com/lessons/vol1/area_trapezoid.html
The web page gives them problems to solve where they have to find the area given the dimensions of the trapezoid, or find the missing dimension given the area and the two bases. Once they have a correct answer for each problem they should print the page and hand it in. The printout will show the problems they were given, their solution and whether or not it was correct.
Then go to www.321know.com/g8_78_x5.htm
Do at least 10 problems in the “Find the area of the
trapezoid” box and print your score and hand it in. Then they may go down to
the “Play” box and practice their skills.
Students will hand in worksheets completed in class and/or printouts from computer work.
Worksheets have to be at least 80% correct, or there will be a follow up lesson.
Printouts from mathgoodies.com must have at least 4 out of 5 problems solved correctly, or they need to go through the instruction at the top of the web page again, and try another 5 problems.