Starter 3 cm 4 cm 5 cm Find the areas of the squares 5
minutes
Slide 3
16 cm 2 9 cm 2 25 cm 2 a b c What do you notice about the areas
of the squares So what did Pythagoras say: He said that : a 2 + b 2
= c 2 For any right angle triangle, the sum of the areas of the two
small squares is equal to the area of the larger. Pythagoras
Slide 4
WILF: Make sure to draw you margins with a ruler! GRADE C: I
can use Pythagoras to work out all sides on a right angle triangle
WALT: Using Pythagoras Theorem Keywords: Pythagorass theorem,
square, square root, add, subtract, right- angled triangle. GRADE
B: I can solve worded problems including Pythagorass theorem
Slide 5
Label the sides on all of these triangles. Mini-Plenary WILF:
GRADE C: I can use Pythagorass to work out all sides on a right
angle triangle GRADE B: I can solve worded problems including
Pythagorass theorem WALT: Using Pythagoras Theorem Keywords:
Pythagorass theorem, square, square root, add, subtract,
right-angled triangle.
Slide 6
WALT: Using Pythagoras Theorem Keywords: Pythagorass theorem,
square, square root, add, subtract, right-angled triangle. WILF:
GRADE C: I can use Pythagorass to work out all sides on a right
angle triangle GRADE B: I can solve worded problems including
Pythagorass theorem Finding the length of the longest side x 8cm
6cm
Slide 7
WILF: GRADE C: I can use Pythagorass to work out all sides on a
right angle triangle GRADE B: I can solve worded problems including
Pythagorass theorem WALT: Using Pythagoras Theorem Keywords:
Pythagorass theorem, square, square root, add, subtract,
right-angled triangle. 3cm 4cm x Finding the length of the longest
side
Slide 8
WILF: GRADE C: I can use Pythagorass to work out all sides on a
right angle triangle GRADE B: I can solve worded problems including
Pythagorass theorem 12cm 7cm x WALT: Using Pythagoras Theorem
Keywords: Pythagorass theorem, square, square root, add, subtract,
right-angled triangle. Finding the length of the shorter side
Slide 9
WILF: GRADE C: I can use Pythagorass to work out all sides on a
right angle triangle GRADE B: I can solve worded problems including
Pythagorass theorem WALT: Using Pythagoras Theorem Keywords:
Pythagorass theorem, square, square root, add, subtract,
right-angled triangle. 23mm 15mm x Finding the length of the
shorter side
Slide 10
25cm 60cm 19m 14m 5cm 11cm Calculate the length of the missing
side to 1 d.p. when needed. 12mm 13mm 3cm 6cm Answer = 6.7cm Answer
= 9.8cm Answer = 23.6m Answer = 5mm Answer = 65cm 10 minutes
Slide 11
WILF: GRADE C: I can use Pythagorass to work out all sides on a
right angle triangle GRADE B: I can solve worded problems including
Pythagorass theorem WALT: Using Pythagoras Theorem Keywords:
Pythagorass theorem, square, square root, add, subtract,
right-angled triangle. Practice Question 5cm Calculate the length
of the diagonal of this square.
Slide 12
Answer = 8.5cm Calculate the length of the diagonal of this
square. 6cm 10cm Calculate the length of the diagonal of this
square.
Slide 13
10cm 8cm Answer = 12cm
Slide 14
10cm 9cm Answer = 12cm 10cm 8cm
Slide 15
A boat travels 45 miles east then 60 miles north, how far is it
from where it started? Answer = 75miles
Slide 16
A boat travels 75 miles east then 100 miles north, how far is
it from where it started? (hint: draw a diagram) Answer =
75miles
Slide 17
A ladder is 5 metres long. Bob (the builder) places it against
a wall so that it reaches up 4 metres. What is the distance from
the base of the ladder to the wall?
Slide 18
A 5 metre ladder is positioned 3.2 metres away from a vertical
building wall. Will the ladder reach a window which is 4 metres
from the ground? Show your working. x 2 = 5 2 - 3.2 2 x 2 = 25
10.24 x = 14.76 x = 3.8m (1.d.p.) So the ladder will not reach
Slide 19
WALT: Using Pythagoras Theorem Keywords: Pythagorass theorem,
square, square root, add, subtract, right-angled triangle. WILF:
GRADE C: I can use Pythagorass to work out all sides on a right
angle triangle GRADE B: I can solve worded problems including
Pythagorass theorem Treasure Hunt