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Unit Mathematics
Topic: Pythagoras’ theorem
Matthayomsuksa 2
b
a
c
b
c
b > a!
b
c
b-a
b
c
b-a
c*
c
c
c
c
b-a
a
a
a
a
𝑐2 = 4 ×
𝑎𝑏
2
+ (𝑏 − 𝑎)2
𝑐2
= 4 ×
𝑎𝑏
2
+ (𝑏 − 𝑎)2
𝑐2 = 2𝑎𝑏 + (𝑏 − 𝑎)2
(𝑏 − 𝑎)2
= 𝑏2
− 2𝑎𝑏 + 𝑎2
𝑐2
= 2𝑎𝑏 + (𝑏2
−2𝑎𝑏 + 𝑎2
)
𝑐2 = 2𝑎𝑏 + (𝑏2−2𝑎𝑏 + 𝑎2)
𝒄 𝟐 = 𝒂 𝟐 + 𝒃 𝟐
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".
Content words
triangle (n.)
a flat shape with three straight sides
EG. Pythagoras discovered an amazing fact about
triangle.
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
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.
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
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
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.
1. Pythagoras' equation can be written in
𝒂 𝟐 + 𝒃 𝟐 = 𝒄 𝟑.
𝒂 𝟐 + 𝒃 𝟐 = 𝒄 𝟐
2. If we know the lengths of 2 sides of a
right angled triangle, we can find the length
of the remaining side.

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Clil pillar1 task1

  • 1. Unit Mathematics Topic: Pythagoras’ theorem Matthayomsuksa 2
  • 2.
  • 6.
  • 9. 𝑐2 = 4 × 𝑎𝑏 2 + (𝑏 − 𝑎)2
  • 10. 𝑐2 = 4 × 𝑎𝑏 2 + (𝑏 − 𝑎)2 𝑐2 = 2𝑎𝑏 + (𝑏 − 𝑎)2 (𝑏 − 𝑎)2 = 𝑏2 − 2𝑎𝑏 + 𝑎2
  • 11. 𝑐2 = 2𝑎𝑏 + (𝑏2 −2𝑎𝑏 + 𝑎2 ) 𝑐2 = 2𝑎𝑏 + (𝑏2−2𝑎𝑏 + 𝑎2) 𝒄 𝟐 = 𝒂 𝟐 + 𝒃 𝟐
  • 12.
  • 13.
  • 14. 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".
  • 15. Content words triangle (n.) a flat shape with three straight sides EG. Pythagoras discovered an amazing fact about triangle.
  • 16. 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
  • 17. 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.
  • 18. 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
  • 19. 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
  • 20. 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.
  • 21. 1. Pythagoras' equation can be written in 𝒂 𝟐 + 𝒃 𝟐 = 𝒄 𝟑. 𝒂 𝟐 + 𝒃 𝟐 = 𝒄 𝟐
  • 22. 2. If we know the lengths of 2 sides of a right angled triangle, we can find the length of the remaining side.