A MODEL LESSON PLAN FOR PYTHAGORAS THEOREM
NAME: GILBERT SUCCESS.
LESSON PLAN
TOPIC: PYTHAGORAS RULE
DATE: 20TH MARCH 2014
CLASS: SS 1A
DURATION: 40 MINUTES
LEARNING OBJECTIVES
Students should be able to develop an argument to show that the sum of the squares of two sides of a right angled triangle gives the square of the longest side (Hypotenuse)
KEY VOCABULARY:
Pythagoras Rule, Pythagoras Triple, Add, Subs tract, Area, Squares, Right Triangles, Horizontal, Vertical Diagonal Lines , Measures
RESOURCES AND MATERIALS
Graph papers cut into sizes New General Mathematics For Senior Secondary School Book1 Pages 114—124,Gallery Walk, Tic Tac Toe, paper, Pencil ,Protractor, Ruler Floors, Walls, Squares, , Procedural knowledge, Small groups, Connecting learning to life and Cloze strategies.
BUILDING BACKGROUND:
The teacher will connect learning to life by doing the following
The students were put in groups and made to identify all rectangular, square shapes around them in the class room including floors, walls, books and each group will answer the following questions What is the shape of each face of the wall?-squares or rectangles, If we cut each shapes of the squares or rectangles across their vertices what do we get ? right triangles. What are the properties of a right triangle ? It has an angle of a right angle(90 degrees)
Each group will brainstorm and put their answers on flip chart and perform paste on a wall and the whole students will perform a Gallery walk and then discuss content of the ideas.
CONTENT
Concept/Definition of Pythagoras theorem
The sum of the squares of the remote sides of a right-angled triangle equals the square of the longest side.
Proof of the Pythagorean theorem
Given that a, b and c are sides of a right triangle
a2 + b2 = c2
Concept of the Pythagorean Triple
Solved examples
STRATEGIES AND ACTIVITIES
TIC TAC TOE
The students
still in groups will measure the sides
of squares cardboards provided for them brainstorm to find their areas
|
The students will join the vertices of each of the three sides of the squares to form a triangle. Measure each angle of the triangle .what did you notice? |
The
teacher leads the students through a Procedural knowledge strategies to
deduce that since 32 + 42 = 52
It
can generalized that a2 + b2 = c2
|
| The students will further will by chunk and chew strategies do further exercises to demonstrate the argument to justify Pythagoras theorem | The teacher will
further demonstrates Pythagorean triple for odd and even numbers ie square an odd number minus 1 from the
product, divide the result by 2 ,finally add the 1 eg 7,24 ,25,:11 60,61 |
For even numbers square the number, divide it by 2,subtract 2 from the result and divide again by 2 ,then add the 2 to get the triple eg 6,8,10: 12,35,37 |
| The Students will again by chunk and chew strategies do further exercises to demonstrate their understanding | The teacher reviews lesson with the students the cloze strategies | The teacher then wraps up and gives assessment |
Let's check if the areas are
the same:
32
+ 42 = 52
Calculating this becomes:
9
+ 16 = 25
It works ... like Magic
\if we substitute
a as 3 ,b as 4 and c as 5, the figure becomes
Therefore
a2 + b2 = c2
Note:
- c is the longest side of the triangle
- a and b are the other two sides
It stands firmly that for any triangle as shown below
The teacher leads the students to solve further examples including for Pythagorean triple
REVIEW AND ACTIVITY
The teacher reviews the lesson
using cloze strategy Fill in the gap in the following sentences
The argument to justify Pythagoras
------ shows that that
the ----- of the squares of two sides of
a right angled triangle gives the square of the ----- side .Hence Given a right triangle of sides 6cm,8cm and 10cm it
can be shown that 6,8,and 10 are
Pythagorean ---------
WRAP UP
The teacher asks the students to restate the Pythagorean
Rule and Use it to solve relevant
exercises in the text.
ASSESSMENT
Given a triangle ABC
of sides AB=8cm, BC= 15cm and AC = 17cm , Develop an argument to show that
triangle ABC is a right angled triangle.
ASSIGNMENT
Develop a rule for
making a Pythagorean triple given that first number is even, example given the
first number of Pythagorean triple is 8 find the other two numbers
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These 20 materials are neatly packaged in one large box and will save you a lot of money compared to buying each item separately.
This package is good for classrooms with children between 2.5 to 6 years old.
The content includes:
1) Knobbed cylinder
2) Pink Tower
3) Color box
4) Brown stairs
5) Constructive triangles
6) Mystery bag
7) Binomial cube
Number rods9) Spindle box
10) Cards and Counters (Odd & Even)
11) Hundred board
12) Introduction to decimal system
13) Snake game
14) Stamp game
15) Addition strip board
16) Subtraction strip board
17) Multiplication board
18) Division Board
19) Sandpaper Numbers
20) Fraction skittles
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