# 2.1 & 2.2 Calculate the circumference and area of a circle

Can we choose our emotions or do they just happen?
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Slide 1: Mind map
MathematicsLower Secondary (Key Stage 3)

This lesson contains 38 slides, with interactive quizzes, text slides and 2 videos.

Lesson duration is: 60 min

## Items in this lesson

Can we choose our emotions or do they just happen?

#### Slide 1 -Mind map

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2.1 Calculate the circumference and area of a circle

#### Slide 2 -Slide

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timer
1:30
What are the properties of a circle?

#### Slide 3 -Mind map

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Circle
The parts of a circle are the radius, diameter, circumference, arc, chord, secant, tangent, sector and segment. A round plane figure whose boundary consists of points equidistant from a fixed point.

#### Slide 4 -Slide

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1:30
What is the radius of a circle?

#### Slide 5 -Mind map

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Radius is always half the length of its diameter. For example, if the diameter is 4 cm, the radius equals 4 cm ÷ 2 = 2 cm.

#### Slide 6 -Slide

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1:30
What do we mean when talking about the circumference of a circle?

#### Slide 7 -Mind map

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Circumference
Circumference of the circle or perimeter of the circle is the measurement of the boundary of the circle.

#### Slide 8 -Slide

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1:30
How do we find the circumference of a circle?

#### Slide 9 -Mind map

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#### Slide 10 -Video

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#### Slide 11 -Slide

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Is it essential to be a “good person”? Why?

#### Slide 12 -Mind map

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Last time...

#### Slide 13 -Slide

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Hard question!
What is a 'segment' of a circle?
timer
0:30
A
a straight line that connects two points on the circumference of a circle
B
a straight line that touches the circumference of a circle at only one point
C
the area enclosed by an arc of a circle and a chord
D
a line that intersects a circle at two distinct points

#### Slide 14 -Quiz

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#### Slide 15 -Slide

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Hard question!
What is a 'tangent' of a circle?
timer
0:30
A
the area enclosed by an arc of a circle and a chord
B
a straight line that connects two points on the circumference of a circle.
C
a line that intersects a circle at two distinct points
D
a straight line that touches the circumference of a circle at only one point

#### Slide 16 -Quiz

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#### Slide 17 -Slide

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Write down 3 things you learned in this lesson.

#### Slide 18 -Open question

Have students enter three things they learned in this lesson. With this they can indicate their own learning efficiency of this lesson.
Write down 2 things you want to know more about.

#### Slide 19 -Open question

Here, students enter two things they would like to know more about. This not only increases involvement, but also gives them more ownership.

#### Slide 20 -Open question

The students indicate here (in question form) with which part of the material they still have difficulty. For the teacher, this not only provides insight into the extent to which the students understand/master the material, but also a good starting point for the next lesson.
2.2 Calculate the area of a circle

#### Slide 22 -Slide

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timer
1:30
What do we mean by 'area' of a circle?

#### Slide 23 -Mind map

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timer
1:30
How do we find the area of a circle?

#### Slide 24 -Mind map

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#### Slide 25 -Video

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Area

#### Slide 26 -Slide

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timer
1:00
What is the radius of a circle?

#### Slide 28 -Mind map

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1:00
What is the diameter of a circle?

#### Slide 29 -Mind map

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timer
1:00
What is the circumference of a circle?

#### Slide 30 -Mind map

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timer
1:00
How do we find the area of a circle?

#### Slide 31 -Mind map

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Hard question!
What is a 'segment' of a circle?
timer
0:30
A
a straight line that connects two points on the circumference of a circle
B
a straight line that touches the circumference of a circle at only one point
C
the area enclosed by an arc of a circle and a chord
D
a line that intersects a circle at two distinct points

#### Slide 32 -Quiz

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#### Slide 33 -Slide

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Hard question!
What is a 'tangent' of a circle?
timer
0:30
A
the area enclosed by an arc of a circle and a chord
B
a straight line that connects two points on the circumference of a circle.
C
a line that intersects a circle at two distinct points
D
a straight line that touches the circumference of a circle at only one point

#### Slide 34 -Quiz

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#### Slide 35 -Slide

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Write down 3 things you learned in this lesson.

#### Slide 36 -Open question

Have students enter three things they learned in this lesson. With this they can indicate their own learning efficiency of this lesson.
Write down 2 things you want to know more about.

#### Slide 37 -Open question

Here, students enter two things they would like to know more about. This not only increases involvement, but also gives them more ownership.