Thursday, 18 April 2013

A unit plan for Science 10 - Biomes

Follow the link to a unit plan for Biomes (science 10)
Biomes Unit plan

A lesson plan for Math 8- Pythagorean Theorem


Lesson Title:  Pythagorean theorem
Learning Intention(s):
·         Model and explain the Pythagorean theorem concretely, pictorially, or using technology

·         Explain, using examples, that the Pythagorean theorem applies only to right triangles

·         Determine whether or not a given triangle is a right triangle by applying the Pythagorean theorem

·         Determine the measure of the third side of a right triangle, given the measures of the other two sides, to solve a given problem

·         Solve a given problem that involves Pythagorean triples
·         (e.g., 3, 4, 5 or 5, 12, 13)
Daily Lesson Objective(s):
·         To explore how and why the Pythagorean theorem works
·         To learn how to apply the formula
A2 + B2 = C2
·         To determine how triangles work (if you change one side, what happens to the other side?

Materials:
·         Graph paper
·         Question Table (For the students to write their notes on)
·         3 pythag worksheets (of varying difficulty)
·         Hey pythag, what’s your angle?
The “Hook” (Activation of Background Knowledge:
You are on an adventure through the jungles of south America, but the roads are out. (oh no!) How far do you have to go now?
Activities:
1.       Review Previous classes (1 question for squares, 1 question for square roots, one question for mixed number roots
2.       Jungle tour
                                I.            Ask the students to try to solve the problem (no help, they may become frusterated, if so, give them a min or so to stew then let them know that you will provide them the information to answer it, but it will take a while.)
                              II.            Show them the Simpsons video, have them try to guess what it means (define the types of triangles for them)
                            III.            Read the pythag book to the class (Before: ask them to predict what it will be about. During: Ask them to list the things pythag uses math for and to try and figure out what his magic trick After: Ask them if homer’s quote makes more sense now?
                            IV.            Ask if they can make a formula to describe it (if they can’t, that is fine,) Ask if they can answer the jungle tour question yet (if they say yes let them try)
3.       Jungle tour 2.0
                                I.            Try the jungle tour question again
                              II.            Ask the students to draw the triangle, and make squares out of each side (if time allows, use blocks to make triangle) [I may have to go over how to draw on the graphing paper accurately]
                            III.            Draw the squares and add the areas (add in http://www.shodor.org/interactivate/activities/TriangleExplorer/)
                            IV.            Determine a rule- ask students to try and determine a rule for this type of question. Looking for A squared plus b squared equals c squared. To solve you square both the sides, then add them together, then square root the answer.
                              V.            Try to apply the rule to another triangle
                            VI.            Ask them if they think all triangles will end up with even numbers?
4.       Explore triangles
5.       Pythag worksheets (3 total, 1 for each skill level)
6.       Pythag video- wrap up class with the video- ask them to identify the ideas expressed in the video- What is clearer after watching the video- what questions did it bring up?
Timing:
1.       7 min
2.       45 min


            I.            7 min

          II.            10 min

        III.            10 min

       IV.            15 min

3.        
            I.            8 min
          II.            8-15 min

        III.            5 min


       IV.            8 min
         V.            5 min

4.       10 min
5.       10 min
6.       Until 15 min before bell
7.       15 min



Rethink/Revise Activity:
-           
Peer/Self Evaluation and/or Assessment:
-  Notes table
-Graph paper triangles
-Mark first 5 questions of worksheets (exchange , mark, feedback)
Places to Differentiate:
-different work sheets
-more examples for students that are having trouble still

Closure/Ticket out the Door:
-          I used to think- now I think