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1. 1. Unit Mathematics Topic: Pythagoras’ theorem Matthayomsuksa 2
2. 2. b a c
3. 3. b c b > a!
4. 4. b c b-a
5. 5. b c b-a c*
6. 6. c c c c b-a a a a a
7. 7. 𝑐2 = 4 × 𝑎𝑏 2 + (𝑏 − 𝑎)2
8. 8. 𝑐2 = 4 × 𝑎𝑏 2 + (𝑏 − 𝑎)2 𝑐2 = 2𝑎𝑏 + (𝑏 − 𝑎)2 (𝑏 − 𝑎)2 = 𝑏2 − 2𝑎𝑏 + 𝑎2
9. 9. 𝑐2 = 2𝑎𝑏 + (𝑏2 −2𝑎𝑏 + 𝑎2 ) 𝑐2 = 2𝑎𝑏 + (𝑏2−2𝑎𝑏 + 𝑎2) 𝒄 𝟐 = 𝒂 𝟐 + 𝒃 𝟐
10. 10. Key terms hypotenuse (n.) the longest side of right triangle that has one angle of 90° EG. The longest side of the triangle is called the "hypotenuse".
11. 11. Content words triangle (n.) a flat shape with three straight sides EG. Pythagoras discovered an amazing fact about triangle.
12. 12. Pythagoras' Theorem Over 2000 years ago Pythagoras discovered an amazing fact about triangle. “When the triangle has a right angle (90°) and squares are made on each of the three sides, then the biggest square has the exact same area as the other two squares put together.” It is called "Pythagoras' Theorem" and can be written in one short equation. a2 + b2 = c2
13. 13. The longest side of the triangle is called the "hypotenuse", so the formal definition is If we know the lengths of two sides of a right angled triangle, we can find the length of the third side. (But remember it only works on right angled triangles!) In a right triangle: the square of the hypotenuse is equal to the sum of the squares of the other two sides.
14. 14. Present simple tense We use simple present to talk about something that is true in the present or something that is always true. Past Present Future
15. 15. Language Patterns symbols speak = equals or equal to + plus or positive - minus, subtract by or negative x or . multiplies or times ÷ or / divided by x2 x squared or x to the power of two x square root of x
16. 16. True or False Direction: Write "T" if the statement is true or "F" if the statement is false. Then rewrite to correct the information if the statement is false.
17. 17. 1. Pythagoras' equation can be written in 𝒂 𝟐 + 𝒃 𝟐 = 𝒄 𝟑. 𝒂 𝟐 + 𝒃 𝟐 = 𝒄 𝟐
18. 18. 2. If we know the lengths of 2 sides of a right angled triangle, we can find the length of the remaining side.