MARLA: Lesson Plan Title Lesson 4-09: The Pythagorean Theorem (pp. 205-209)
Goal(s) The Pythagorean Theorem: Students will learn the Pythagorean theorem, and the steps to find the hypotenuse or legs of the right triangle.
Specific Objectives Using the Pythagorean Thereom, students will learn find the measure of the hypotenuse given the measures of the legs of the right triangle, or find the legs given the hypotenuse and one leg.
Materials Students will need pencils, textbooks, paper, and workbooks.
Anticipatory Set We will review the different kinds of triangles (right, scalene, equilateral), with emphasis on the right triangle, and we will dissect the parts of the right triangle.
Review of Standard Measurement and Geometry 3.3: 3.3 Know and understand the Pythagorean theorem and its converse and use it to find the length of the missing side of a right triangle and the lengths of other line segments and, in some situations, empirically verify the Pythagorean theorem by direct measurement.
Guided Practice Together we will do examples 1 and 2. Students who finish early will move on to try #1-4 on page 207. When most of the class is finished, we will go over #1-4 together to check their answers.
Step-By-Step Procedures Show the students how to find the length of the hypotenuse using the measurements of the legs. Using the formula a squared + b squared = c squared, we will plug in the sides of the triangle into a and b, and leave c squared. The next step is to square the legs. When we find the sum of the legs squared, we will take the square root in order to find the length of the hypotenuse. Plan For Independent Practice For independent practice, students will complete #8-14, while I come around and check their work or answer any questions. For homework, their assignment will be #15-24 on page 208.
Closure (Reflect Anticipatory Set) Summarize the parts of the right triangle, how to find the hypotenuse. Give students a problem with an unknown leg given the hypotenuse and a leg. Assessment Based On Objectives Let them know that this standard is on the California Standards Test on Mathematics, and to prepare for the test, we have a quiz on Pythagorean Theorem tomorrow, and a chapter 4 test possibly Friday.
Adaptations (For Students With Learning Disabilities) Give students workbook, and tell them to open to Practice Lesson 4-9 as an in-class assignment so that students with learning disabilities will have extra practice. Extensions (For Gifted Students) After students complete Practice Lesson 4-9, students will complete Challenge worksheet 4-9 from their workbooks.
Accommodations for Multi-Cultural Students Students will draw a right triangle with legs lengths of 3 units and 4 units on graph paper. Next, they will find the square of each leg by multiplying 3x3 and 4x4 and adding them together. Next students will measure the length of the hypotenuse by finding the length on a string and determining how many units long the string is. Students square this amount and compare it to the sum of the squares of the legs.
MARLA:
Lesson Plan Title
Lesson 4-09: The Pythagorean Theorem (pp. 205-209)
Goal(s)
The Pythagorean Theorem: Students will learn the Pythagorean theorem, and the steps to find the hypotenuse or legs of the right triangle.
Specific Objectives
Using the Pythagorean Thereom, students will learn find the measure of the hypotenuse given the measures of the legs of the right triangle, or find the legs given the hypotenuse and one leg.
Materials
Students will need pencils, textbooks, paper, and workbooks.
Anticipatory Set
We will review the different kinds of triangles (right, scalene, equilateral), with emphasis on the right triangle, and we will dissect the parts of the right triangle.
Review of Standard
Measurement and Geometry 3.3:
3.3 Know and understand the Pythagorean theorem and its converse and use it to find the length of the missing side of a right triangle and the lengths of other line segments and, in some situations, empirically verify the Pythagorean theorem by direct measurement.
Guided Practice
Together we will do examples 1 and 2. Students who finish early will move on to try #1-4 on page 207. When most of the class is finished, we will go over #1-4 together to check their answers.
Step-By-Step Procedures
Show the students how to find the length of the hypotenuse using the measurements of the legs. Using the formula a squared + b squared = c squared, we will plug in the sides of the triangle into a and b, and leave c squared. The next step is to square the legs. When we find the sum of the legs squared, we will take the square root in order to find the length of the hypotenuse.
Plan For Independent Practice
For independent practice, students will complete #8-14, while I come around and check their work or answer any questions. For homework, their assignment will be #15-24 on page 208.
Closure (Reflect Anticipatory Set)
Summarize the parts of the right triangle, how to find the hypotenuse. Give students a problem with an unknown leg given the hypotenuse and a leg.
Assessment Based On Objectives
Let them know that this standard is on the California Standards Test on Mathematics, and to prepare for the test, we have a quiz on Pythagorean Theorem tomorrow, and a chapter 4 test possibly Friday.
Adaptations (For Students With Learning Disabilities)
Give students workbook, and tell them to open to Practice Lesson 4-9 as an in-class assignment so that students with learning disabilities will have extra practice.
Extensions (For Gifted Students)
After students complete Practice Lesson 4-9, students will complete Challenge worksheet 4-9 from their workbooks.
Accommodations for Multi-Cultural Students
Students will draw a right triangle with legs lengths of 3 units and 4 units on graph paper. Next, they will find the square of each leg by multiplying 3x3 and 4x4 and adding them together. Next students will measure the length of the hypotenuse by finding the length on a string and determining how many units long the string is. Students square this amount and compare it to the sum of the squares of the legs.
MARLA:
LARA:
MONA:
NATALIE:
DENISE:
KELLY:
VENUS:
LANA: