1. Topic-
|
|
|
2. Content-
|
| Math Enrichment, Geometry, Algebra, Problem Solving |
| |
|
3. Goals: Aims/Outcomes-
|
1. Students will be able to use the Pythagorean Theorem to solve
real life problems.
2. Students will understand situations where they will use the Theorem.
3. Students will be able to create problems using the Theorem. |
| |
|
4. Materials and Aids-
|
| White Board, Science/Math Hero Poster, Graph Paper, iTouch, Computers |
| |
|
5. Procedures/Methods-
|
|
A. Introduction-
1.Review Pythogoras using poster Payton created as a display for
Heroes of Math and Science Night.
2. Discuss Pythogoras, his work, and his followers.
3. Review basics of math students will need to know for this lesson.
4. Refer to a problem students had in a previous lesson and discuss
that in order to find the perimeter of this shape they need to calculate
the length of the hypotenuse. |
| |
|
|
B. Development-
1. Review what they know.
a. Finding Perimeter
b. Finding Area
c. Simple algebra
d. commutative property
2. Review problems we did on area rectangle and squares with triangle
sides challenge them to find perimeter of the shapes that we found
area of
3. Review square/exponents
4. Review sides of right triangle "� legs/hypotenuse
5. Hand out graph paper to allow students to find the length of the
missing side of a triangle.
a. Experiment using the graph paper "� finding lengths of sides
b. Experiment hands on with missing side measurements
6. Review using iTouch scientific calculator. Have student solve problems
using calculator and hands on with graph paper.
7. Practice using calculator to solve problems.
8. Why would knowing this come in handy? Discuss sample real life
problems
i. Ramp for a moving truck
ii. Ladder to window
iii. Throwing ball between bases in baseball
iv. Taking a shorter path across (diagonal)
v. Planning for lights to decorate roof line
quickly solve problems.
9. Discuss real life situations.
10. Show students the website with Football explanation (angle of
persuit) being discussed in relationship to mathematics. |
| |
|
|
C. Practice-
1. Do a couple problems together on the iTouch.
2. Direct students to websites for more practice.
3. Monitor the first couple problems and solve as a group. |
| |
|
|
D. Independent Practice-
1.Students are given practice problems to solve on paper and on
the computer.
2.Students can work on iTouch to practice their skills and check answers
with their peers.
|
| |
|
|
E. Accommodations (Differentiated Instruction)-
1. Students are paired together to work as a team.
2.Students are given a variety of problems and they are given an opportunity
to choice which problems in specific areas that they want to work
on.
3.Students work at their own pace. |
| |
|
|
F. Checking for understanding-
1. Teacher will walk around to evaluate how successful the students
are on the website problems they are asked to solve.
2. Provided with a worksheet of sample problems the students will
need to check a problem in each column for accuracy before going on.
3.Students will be asked to verbally explain the problem solving process
using this theorem.
|
| |
|
|
G. Closure-
1. Ask students to create a story problem for their classmates requiring
the use of Pythagorean theorem.
2.Encourage students to go online at home to sites given to practice
the content learned in this lesson. |
| |
|
Evaluation-
|
1. Students will be able to successful complete problems using Pythagorean
theorem (online website).
2.Student will be able to create a story problem requiring the use
of Pythagorean theorem. |
| |
|