Measurement

Angles & Right Angles

1

Find the Right Angle

A right angle makes an 'L' shape. Circle the right angle.

Which shows a right angle?

Corner of a book
A pointy triangle
A wide opening

A clock at 3 o'clock shows...

A right angle
Less than a right angle
More than a right angle

A door fully open is...

A right angle
Less than a right angle
More than a right angle
2

More Right Angles

Circle the correct answer.

The corner of a page is...

A right angle
Less than a right angle
More than a right angle

The corner of a picture frame is...

A right angle
Less than a right angle
More than a right angle

The hands at 1 o'clock show...

A right angle
Less than a right angle
More than a right angle
3

Match Turns to Descriptions

Draw a line to match.

Quarter turn
Half turn
Full turn
Three-quarter turn
360 degrees
90 degrees
270 degrees
180 degrees
4

Sort the Angles

Sort each angle.

Corner of a square
A slightly open door
A wide-open book
Corner of a rectangle
An almost-closed fan
An open pair of scissors
Less than a right angle
A right angle
More than a right angle
5

Compare to a Right Angle

Circle the correct comparison.

A pointy triangle corner is...

Less than a right angle
A right angle
More than a right angle

A straight line is the same as...

1 right angle
2 right angles
4 right angles

A full turn is the same as...

1 right angle
2 right angles
4 right angles

A clock at 6 o'clock shows...

Less than a right angle
A right angle
2 right angles (straight line)
6

More Angle Comparisons

Circle the correct answer.

How many right angles in a square?

2
3
4

How many right angles in a rectangle?

2
3
4

A quarter turn = ___ degrees

45
90
180

A half turn = ___ degrees

90
180
360
7

Match Angles to Objects

Match.

Right angle
Less than a right angle
More than a right angle
Straight angle
An open book flat on a table
The corner of a window
The tip of a pizza slice
A door opened very wide
8

Draw the Angles

Draw an example of each type of angle.

Draw a right angle (90 degrees)

Draw here

Draw an angle smaller than a right angle

Draw here

Draw an angle bigger than a right angle

Draw here
9

Angles Around You

Find and describe angles in your classroom.

Name 2 things with right angles: ___

Name something with an angle less than a right angle: ___

Name something with an angle more than a right angle: ___

10

Angle Challenge

Answer these questions.

How many right angles do you turn through to face the opposite direction? ___

If you face north and make a quarter turn clockwise, which way do you face? ___

How many quarter turns to make a full turn? ___

11

Clockwise or Anticlockwise?

Circle the correct answer.

Clock hands move...

Clockwise
Anticlockwise

If you turn left, you turn...

Clockwise
Anticlockwise

A quarter turn clockwise from North is...

East
West
South
12

Home Activity: Angle Hunt

Hunt for angles around your home!

  • 1Find 5 right angles in your house (hint: look at corners of doors and books).
  • 2Open a door just a little bit. Is the angle less than, equal to, or more than a right angle?
  • 3Use two pencils to make different sized angles. Which ones are right angles?
  • 4Turn around on the spot. A quarter turn is one right angle. How many right angles in a full turn?
13

Degrees and Angles — Set A

Circle the correct number of degrees.

A right angle is exactly...

45°
90°
180°

A straight angle (flat line) is...

90°
180°
360°

A full turn is...

90°
180°
360°

A quarter turn is...

45°
90°
180°
14

Degrees and Angles — Set B

Circle the correct number of degrees.

A half turn is...

90°
180°
270°

Three-quarter turn is...

180°
270°
360°

An angle less than 90° is called...

Acute
Right
Obtuse

An angle between 90° and 180° is called...

Acute
Right
Obtuse
15

Acute, Right or Obtuse? — Set A

Classify each angle.

An angle of 45°

Acute
Right
Obtuse

An angle of 90°

Acute
Right
Obtuse

An angle of 120°

Acute
Right
Obtuse

An angle of 75°

Acute
Right
Obtuse
16

Acute, Right or Obtuse? — Set B

Classify each angle.

The corner of a square

Acute
Right
Obtuse

The angle of an open book laid flat

Acute
Right
Obtuse

The tip of a very pointy arrow

Acute
Right
Obtuse

The opening of a slightly open door

Acute
Right
Obtuse
17

Match Angle Names to Degrees — Set A

Match each name to its degree measure.

Acute angle
Right angle
Obtuse angle
Straight angle
180°
90°
Between 90° and 180°
Less than 90°
18

Match Angle Names to Real Objects — Set A

Match each angle type to a real-world example.

Acute
Right
Obtuse
Straight
Open book flat on table
Corner of a room
A pizza slice
The hour hand at 2 o'clock position
19

Sort: Acute, Right or Obtuse?

Sort each angle.

35°
90°
115°
60°
145°
90°
Acute (< 90°)
Right (= 90°)
Obtuse (> 90°)
20

Sort Angles from Clock Times

The minute and hour hands of a clock make angles. Sort each time.

3 o'clock
1 o'clock
5 o'clock
2 o'clock
9 o'clock
11 o'clock
Acute
Right angle
Obtuse
21

Turns and Angles — Set A

Answer each question.

I am facing North. I make a quarter turn clockwise. I now face: ___

I am facing East. I make a half turn. I now face: ___

I am facing South. I make a three-quarter turn clockwise. I now face: ___

A quarter turn = ___ right angles

22

Turns and Angles — Set B

Answer each question.

I face West and turn clockwise to face North. How many right angles is that? ___

A full turn = ___ right angles = ___ degrees

I make 3 quarter turns clockwise from North. Where do I face? ___

Draw a path showing a quarter turn left, then a half turn:

Draw here
23

Right Angles in Shapes — Set A

Count the right angles in each shape.

Square: ___ right angles

Rectangle: ___ right angles

Equilateral triangle: ___ right angles

Right-angled triangle: ___ right angles

24

Right Angles in Shapes — Set B

Name a shape for each description.

A shape with 4 right angles: ___

A shape with 0 right angles: ___

A shape with exactly 1 right angle: ___

A shape with more than 4 right angles: ___

25

Draw Angles

Draw each angle.

Draw an acute angle (label it as less than 90°)

Draw here

Draw a right angle (label it as 90°)

Draw here

Draw an obtuse angle (label it as between 90° and 180°)

Draw here
26

Angle Puzzles

Solve each puzzle.

An angle is less than a right angle. It is bigger than 60°. It could be: ___

An angle is obtuse. It is less than 150°. It could be: ___

I make 2 right angle turns. How many degrees have I turned? ___

Angles in a triangle add to 180°. A triangle has angles of 90° and 45°. What is the third angle? ___

27

Angle Investigation

Investigate angles in your classroom.

Find 3 objects with acute angles: ___

Find 3 objects with right angles: ___

Find 3 objects with obtuse angles: ___

28

Angle Types Found in Classroom

Tally how many of each angle type students found.

ItemTallyTotal
Acute angles
Right angles
Obtuse angles
29

Angle Types in Shapes Graph

This graph shows angles found in common shapes.

Square
Triangle
Pentagon
Hexagon
1

Which shape has the most angles?

2

How many total angles in a square and triangle combined?

3

What type of angles does a square have?

30

Angles Adding to 180°

Two angles on a straight line add to 180°. Find the missing angle.

180
90
?
180
?
60
180
120
?
180
?
45
180
135
?
180
?
75
31

Angles Adding to 360°

Angles in a full turn add to 360°. Find the missing angle.

360
270
?
360
?
90
360
180
?
360
?
270
360
90
?
360
?
135
32

Reflect on Angles

Write your thoughts.

Explain what an acute angle is in your own words: ___

Why are right angles so common in buildings and furniture? ___

Name a sport or activity where angles are important: ___

33

Angles in Triangles

Angles in a triangle add to 180°.

A triangle has angles 60°, 60° and ___.

A right-angled triangle has a 90° angle and a 45° angle. The third angle is ___.

A triangle has angles 100° and 40°. The third angle is ___.

34

Angles on a Straight Line

Angles on a straight line add to 180°.

One angle is 120°. The other is ___.

One angle is 45°. The other is ___.

Both angles are equal. Each angle is ___.

35

Angles in Polygons — Set A

How many angles does each shape have?

A triangle has ___ angles

2
3
4

A pentagon has ___ angles

4
5
6

A hexagon has ___ angles

5
6
7

A square has ___ angles

3
4
5
36

Angle Measurement Estimation

Estimate each angle.

A clock showing 3 o'clock: about ___°

A slightly opened book: about ___°

A wide V shape: about ___°

A pizza slice cut in 8: about ___°

37

Match Angles to Their Sizes

Match each angle type to its possible measurement.

Acute
Right
Obtuse
Straight
180°
90°
35°
130°
38

Real Angles in Your Home

Find and describe real angles.

Name an acute angle you can see right now: ___

Name an obtuse angle you can see right now: ___

Draw a shape that has at least one of each type of angle:

Draw here
39

Angles in a Full Turn

Angles in a full turn add to 360°. Find the missing angle.

360
90
?
360
?
180
360
270
?
360
?
45
360
135
?
360
?
225
40

Quarter Turn Sequence

Each turn is 90°. Count the degrees.

90
180
360
450
?
90
180
270
360
?
41

Quarter, Half or Full Turn?

Circle the correct type of turn.

Turning 90° is a...

quarter turn
half turn
full turn

Turning 180° is a...

quarter turn
half turn
full turn

Turning 360° is a...

quarter turn
half turn
full turn

Turning 270° is a...

quarter turn
three-quarter turn
full turn
42

Classify Shapes by Angles

Classify each shape by its angles.

A square has...

all acute angles
all right angles
all obtuse angles

An equilateral triangle has...

all acute angles
all right angles
all obtuse angles

An obtuse triangle has...

one obtuse angle
all obtuse angles
two obtuse angles
43

Match Turns to Degrees

Match.

Quarter turn
Half turn
Three-quarter turn
Full turn
360°
270°
90°
180°
44

Match Real Angles to Type

Match each real-world angle to its type.

Corner of a page
Opening of a straight ruler
Tip of a sharp knife
Opening of a book laid flat
Straight (180°)
Right (90°)
Obtuse
Acute
45

Sort: Clock Angles

Classify each clock angle.

12 and 1 on a clock
12 and 3 on a clock
12 and 5 on a clock
3 and 4 on a clock
6 and 9 on a clock
12 and 2 on a clock
Acute (<90°)
Right (90°)
Obtuse (>90°)
46

Angles in Quadrilaterals

Angles in a quadrilateral add to 360°.

A square has 4 right angles. 4 × 90° = ___°

A quadrilateral has angles 100°, 80°, and 120°. The fourth angle = ___°

A quadrilateral has angles 90°, 90°, and 70°. The fourth angle = ___°

47

Compass Points and Angles

Use compass directions to explore angles.

Facing North. Turn 90° clockwise. Now facing: ___

Facing East. Turn 180° clockwise. Now facing: ___

Facing South. Turn 90° anticlockwise. Now facing: ___

48

Design with Angles

Create a shape using only the angles specified.

Draw a shape using only right angles.

Draw here

Draw a shape with at least one acute angle.

Draw here

What is the name of your shape? ___

49

Angles Investigation

Investigate angles in your classroom.

Find and name 5 objects with right angles: ___

Find and name 3 objects with acute angles: ___

Are there more right angles or acute angles in your classroom? ___

50

Angles in Classroom Objects

Count the angle types in classroom objects.

ItemTallyTotal
Right angles
Acute angles
Obtuse angles
51

Angle Types Used in Architecture

This graph shows how often each angle type appears.

Right angles
Acute angles
Obtuse angles
Reflex angles
1

Which angle type is used most?

2

How many more right angles than acute angles?

3

What is the total of all angle types?

52

Angle Maths — Mixed Problems

Solve each angle problem.

Two angles on a straight line. One is 110°. The other is ___°.

Three angles in a triangle are 60°, 70° and ___°.

A clock shows 6:00. What is the angle between the hands? ___°

53

Home Activity: Angle Maker

Make angles at home!

  • 1Use two rulers to make acute, right and obtuse angles. Photograph them.
  • 2Measure a door as it opens using a protractor if you have one.
  • 3Find 5 right angles in your bedroom. Write their locations.
  • 4Practice compass directions: face North and make quarter turns. Name the direction you face each time.
54

Acute, Right or Obtuse?

Circle the correct angle type for each description.

An angle smaller than a right angle

Acute
Right
Obtuse

An angle larger than a right angle

Acute
Right
Obtuse

The corner of a square

Acute
Right
Obtuse

The tip of a star point

Acute
Right
Obtuse
55

Quarter Turns on a Compass

Fill in the missing compass direction after each quarter turn clockwise.

90
180
360
?
180
270
?
?
56

Angles in a Right Angle

Two angles combine to make a right angle (90°). Find the missing angle.

90
45
?
90
?
30
90
60
?
90
?
75
90
20
?
57

Match: Turn Description to Degrees

Match each turn to its degree measurement.

Quarter turn
Half turn
Three-quarter turn
Full turn
270°
360°
90°
180°
58

Angles Around Me

Find and describe angles in your classroom or home.

Find 3 acute angles. Where are they? 1.___ 2.___ 3.___

Find 3 right angles. Where are they? 1.___ 2.___ 3.___

Find an obtuse angle. Where is it?

59

Sort: Acute, Right or Obtuse?

Sort each object's angle into the correct column.

Corner of a book
Tip of a pencil
Clock at 2 o'clock
Open laptop at 90°
Slice of pizza
Clock at 11 o'clock
Acute (< 90°)
Right (= 90°)
Obtuse (> 90°)
60

Compass Directions Challenge

Solve these compass problems.

Face North. Turn 2 right angles clockwise. You now face: ___

Face East. Turn 3 quarter turns anti-clockwise. You now face: ___

Describe how to get from right angles to a full turn:

61

Home Activity: Angle Walk

Go on an angle walk around your neighbourhood!

  • 1Find 5 acute angles in buildings or nature. Take photos or draw them.
  • 2Find 5 right angles. What makes them exactly right angles?
  • 3Find an obtuse angle. Where is it? Is it larger or smaller than 90°?
  • 4Use a clock to make each type of angle: acute (1 o'clock), right (3 o'clock), obtuse (10 o'clock).
62

Angles in Two Right Angles

Two angles combine to make two right angles (180°). Find the missing angle.

180
90
?
180
?
45
180
120
?
180
?
75
180
30
?
63

Right Angle Turns — Counting Degrees

Count degrees as you add right angles.

90
180
270
450
?
90
180
270
?
?
64

Design Using Angles

Use angles to design a simple shape or pattern.

Draw a shape that uses at least one right angle, one acute angle and one obtuse angle:

Draw here

Label each angle type in your drawing.

Describe how many of each angle type you used:

65

Sort Real Angles by Type

Look at each clock time and sort the angle formed by the hands.

1 o'clock
3 o'clock
6 o'clock
10 o'clock
2 o'clock
4 o'clock
Acute (< 90°)
Right (90°)
Obtuse (> 90°)
66

Turns and Right Angles

Circle the correct number of right angles.

A half turn = ___ right angles

1
2
4

A full turn = ___ right angles

2
4
6

A three-quarter turn = ___ right angles

2
3
4
67

Angle Types Found in a Room

Count and record angle types in your room.

ItemTallyTotal
Acute angles
Right angles
Obtuse angles
68

Angles in Sport

Think about how angles are used in different sports.

In soccer, what angle works best for shooting at goal? ___

In cricket, how do angles affect where the ball travels?

Name one other sport where angles matter and explain why:

69

Angle Types in Classroom Furniture

This graph shows the angle types found in 10 pieces of classroom furniture.

Acute
Right angle
Obtuse
1

Which angle type is most common in furniture?

2

Why do you think furniture mostly uses right angles?

3

How many pieces of furniture were surveyed?

70

Home Activity: Angle Photo Diary

Take photos of angles in your world!

  • 1Take a photo of an acute angle in nature. Where was it?
  • 2Take a photo of a right angle in your home. What object was it?
  • 3Find an obtuse angle in a piece of furniture. Name the object.
  • 4Share your photos with your family and label each angle type.
71

Angles in Shapes

Circle the correct answer about angles in shapes.

A square has ___ right angles

2
4
6

A triangle can have ___ right angle(s) at most

0
1
2

A rectangle has ___ right angles

2
4
8

An equilateral triangle has ___ angles larger than a right angle

0
1
3
72

Match Angle to Shape Property

Match each angle description to the shape it describes.

4 right angles
3 acute angles
2 right angles and 2 other angles
No right angles, some obtuse
Equilateral triangle
Rectangle
Square
Parallelogram
73

Angles in Triangles

Explore angles in different triangles.

Cut out a triangle and tear off each corner. Do the 3 corners together form a straight line?

What does this tell us about the angles in a triangle?

74

Sort Shapes: Contains a Right Angle or Not?

Sort these shapes by whether they contain a right angle.

Square
Equilateral triangle
Rectangle
Regular hexagon
Right-angled triangle
Circle
Has right angle(s)
No right angles
75

Count Right Angles in Shapes

How many right angles are in each shape? Count using ten frames.

?
?
?
?
?
76

Degrees in a Full Turn

Explore turns and degrees.

A full turn = ___ degrees. A half turn = ___ degrees.

A quarter turn = ___ degrees. This is the same as ___ right angle(s).

If you turn 270° clockwise from facing North, you face: ___

77

Home Activity: Angles in Art

Explore angles in art and design!

  • 1Draw a picture using only straight lines and angles. Label each angle type.
  • 2Find a famous building or bridge that uses interesting angles. Draw it.
  • 3Create a geometric pattern using repeated angles.
  • 4Look at an Aboriginal artwork. What angle patterns can you find?
78

Angles in Polygons

Answer questions about angles in regular shapes.

A regular hexagon has interior angles of...

90°
120°
60°

An equilateral triangle has angles of...

45°
60°
90°

A square's interior angles are all...

45°
90°
120°
79

Match: Angle to Everyday Object

Match each angle to an everyday object that contains it.

90° angle
45° angle
About 30° angle
180° angle
A straight road
Slice of pizza
Corner of a book
Half-open laptop
80

Angles in Australian Architecture

Research or imagine angles in Australian buildings.

Describe an angle you might see in the roof of a house: ___

Why would a builder make roofs with angles rather than flat?

Find a local building with an interesting angle. Describe it:

81

Sort by Angle Size: Smallest to Largest

Arrange these angles from smallest to largest.

Right angle (90°)
Full turn (360°)
Straight angle (180°)
Acute angle (45°)
Obtuse angle (135°)
Quarter turn (90°)
Smallest
Medium
Largest
82

Angles in a Straight Line

Two angles on a straight line add to 180°. Find the missing angle.

180
90
?
180
?
60
180
135
?
180
?
30
180
150
?
83

Count Angles in Shapes — Ten Frame

Count the right angles in each group of shapes.

?
?
?
?
?
84

Home Activity: Angle Measurement Practice

Practise measuring angles at home!

  • 1Use a protractor to measure 5 angles you find around the house.
  • 2Record whether each is acute, right or obtuse.
  • 3Draw your own angles: one of each type (acute, right, obtuse).
  • 4Challenge a family member to estimate each angle without measuring. Compare with the actual measurement.