MEASUREMENT�
TERM 1
MRSTAV
MEASUREMENT
Determine, through investigation using a variety of tools and strategies, the relationship for calculating the circumference and the area of a circle, and generalise to develop the formula.
MRSTAV
CURRICULUM
MEASUREMENT
Solve problems involving the estimation and calculation of the circumference and area of a circle.
MRSTAV
CURRICULUM
DO IT NOW
# Area of a Circle – Formula M
Area of a Circle - Formula
M
MRSTAV
MRSTAV
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
16
4
HOW MANY SQUARE UNITS DO YOU ESTIMATE?
12
MRSTAV
MRSTAV
FIND THE AREA OF THE RECTANGLE
MRSTAV
LENGTH
WIDTH
AREA = L x W
MRSTAV
LENGTH
WIDTH
RADIUS
RADIUS
MRSTAV
LENGTH
WIDTH
RADIUS
RADIUS
HALF OF THE CIRCUMFERENCE (Ï€d )
MRSTAV
LENGTH
WIDTH
r
HALF OF THE CIRCUMFERENCE (Ï€d )
= C ÷ 2
= πd ÷ 2
What is ½ of a diameter?
= πr
Ï€r
MRSTAV
LENGTH
WIDTH
AREA = L x W
AREA = πr x r
r
Ï€r
AREA = πr2
MRSTAV
RADIUS
AREA
a = πr2
MRSTAV
MRSTAV
MRSTAV
MRSTAV
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
16
4
HOW MANY SQUARE UNITS DO YOU ESTIMATE?
12
MRSTAV
RADIUS
AREA
a = π x r2
a = πr2
MRSTAV
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
RADIUS
AREA
a = π x r2
a = πr2
a =
3.14159 x
22
a =
3.14159 x
4
a =
12.566
Square units
MRSTAV
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
16
4
HOW MANY SQUARE UNITS DO YOU ESTIMATE?
12
12.56
MRSTAV
WHAT’S THE DIFFERENCE BETWEEN
CIRCUMFERENCE & AREA?
MRSTAV
RADIUS
AREA
a = π x r2
a = πr2
7cm
a =
(3.14)
72
a =
(3.14)
49
a =
153.86
cm2
MRSTAV
RADIUS
AREA
a = π x r2
a = πr2
7cm
a =
(3.14)
72
a =
(3.14)
49
a =
153.86
cm2
MRSTAV
RADIUS
AREA
a = π x r2
a = πr2
a =
(3.14)
312
a =
(3.14)
961
a =
3 017.54
km2
62km
NOT A RADIUS
Half the diameter to get the radius
62
r = --------
2
r = 31
MRSTAV
30cm
NOT A RADIUS
Half the diameter to get the radius
30
r = --------
2
r = 15
MRSTAV
8.9cm
3.7cm
MRSTAV
What is the AREA of the grass field?
110m
20m
100m
MRSTAV
What is the AREA of the grass field?
110m
20m
= 110m
- 20m
- 20m
= 70m
100m
MRSTAV
What is the AREA of the grass field?
70m
110m
20m
100m
MRSTAV
What is the AREA of the grass field?
380m
MRSTAV
What is the AREA of the grass field?
380m
380m
Area of the circle
+
Area �of the rectangle
MRSTAV
What is the AREA of the grass field?
380m
380m
r= ------------
2
r = 190m
MRSTAV
What is the AREA of the grass field?
380m
r = 190m
a = πr2
a =
(3.14)
1902
a =
(3.14)
36 100
a =
113 354
m2
Area of the circle
+
Area �of the rectangle
MRSTAV
MRSTAV
MRSTAV
MRSTAV
MRSTAV
MEASUREMENT
MRSTAV
CURRICULUM
NUMBER TALK
INDEPENDENT
WORK
MATH GAME
MATH
JOURNAL
Brooke |
Faith |
Marcus |
Malachi |
Moses |
Cole |
Eboni |
Farrah |
Kaela S |
Marissa |
Aaron |
Anish |
Dylan |
Natalya |
Nathaniel |
Addison |
Ameena |
Julius |
Kayla R |
Mehr |
Mila |
Joshwa |
Kayla E |
Mark |
Nilaab |
Thagshaa |
Flipgrid.com/stavmath
MRSTAV
>>
>>
>>
>>
CENTRES
GUIDED
WITH STAV
1 2 3 4 5
INDEPENDENT
WORK
MATH GAME
MATH
JOURNAL
TECH
Aliza |
Brooklynn |
Deondre |
Haris |
Maia |
Zaniah |
Emeka |
Kayonna |
Jenai |
Jeremy Naazneen |
Adan |
Carly |
David |
Karan |
Kenna |
Layo |
Garyshan |
Josee |
Justin |
Kurt |
Maya |
Tyanna |
Alex |
Czaske |
Thulasheka |
Rianna |
Zayn |
Flipgrid.com/stavmath
MRSTAV
>>
>>
>>
>>
CENTRES
GUIDED
WITH STAV
1 2 3 4 5
MrStav.ca/talks
MRSTAV
>>
>>
>>
>>
ROTATION 6
WITH STAV
GUIDED
1 2 3 4 5 6
SOCRATIVE.COM
A and C lie on the circumference of the circle with centre O. OABC is a square with area 16 cm2.
Determine the area of the shaded region, accurate to two decimal places. That is, determine the area of the region inside square OABC but outside the circle.
MRSTAV
>>
>>
>>
>>
ROTATION 6
WITH STAV
GUIDED
1 2 3 4 5 6
WHOLE CLASS LESSON
EXIT TICKET
>>
>>
NEW CURRICULUM EXPECTATION
>>
>>
>>
>>
CENTRES
MRSTAV
DIAGNOSTIC
TEST
UNIT
TEST
>>
>>
>>
>>
UNITS
MRSTAV
DIAGNOSTIC
TEST
UNIT
TEST
>>
>>
>>
UNITS
>>
>>
MATH TALK
MRSTAV