Angles & Right Angles
Find the Right Angle
A right angle makes an 'L' shape. Circle the right angle.
Which shows a right angle?
A clock at 3 o'clock shows...
A door fully open is...
More Right Angles
Circle the correct answer.
The corner of a page is...
The corner of a picture frame is...
The hands at 1 o'clock show...
Match Turns to Descriptions
Draw a line to match.
Sort the Angles
Sort each angle.
Compare to a Right Angle
Circle the correct comparison.
A pointy triangle corner is...
A straight line is the same as...
A full turn is the same as...
A clock at 6 o'clock shows...
More Angle Comparisons
Circle the correct answer.
How many right angles in a square?
How many right angles in a rectangle?
A quarter turn = ___ degrees
A half turn = ___ degrees
Match Angles to Objects
Match.
Draw the Angles
Draw an example of each type of angle.
Draw a right angle (90 degrees)
Draw an angle smaller than a right angle
Draw an angle bigger than a right angle
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: ___
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? ___
Clockwise or Anticlockwise?
Circle the correct answer.
Clock hands move...
If you turn left, you turn...
A quarter turn clockwise from North is...
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?
Degrees and Angles — Set A
Circle the correct number of degrees.
A right angle is exactly...
A straight angle (flat line) is...
A full turn is...
A quarter turn is...
Degrees and Angles — Set B
Circle the correct number of degrees.
A half turn is...
Three-quarter turn is...
An angle less than 90° is called...
An angle between 90° and 180° is called...
Acute, Right or Obtuse? — Set A
Classify each angle.
An angle of 45°
An angle of 90°
An angle of 120°
An angle of 75°
Acute, Right or Obtuse? — Set B
Classify each angle.
The corner of a square
The angle of an open book laid flat
The tip of a very pointy arrow
The opening of a slightly open door
Match Angle Names to Degrees — Set A
Match each name to its degree measure.
Match Angle Names to Real Objects — Set A
Match each angle type to a real-world example.
Sort: Acute, Right or Obtuse?
Sort each angle.
Sort Angles from Clock Times
The minute and hour hands of a clock make angles. Sort each time.
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
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:
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
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: ___
Draw Angles
Draw each angle.
Draw an acute angle (label it as less than 90°)
Draw a right angle (label it as 90°)
Draw an obtuse angle (label it as between 90° and 180°)
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? ___
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: ___
Angle Types Found in Classroom
Tally how many of each angle type students found.
| Item | Tally | Total |
|---|---|---|
Acute angles | ||
Right angles | ||
Obtuse angles |
Angle Types in Shapes Graph
This graph shows angles found in common shapes.
| Square | |
| Triangle | |
| Pentagon | |
| Hexagon |
Which shape has the most angles?
How many total angles in a square and triangle combined?
What type of angles does a square have?
Angles Adding to 180°
Two angles on a straight line add to 180°. Find the missing angle.
Angles Adding to 360°
Angles in a full turn add to 360°. Find the missing angle.
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: ___
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 ___.
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 ___.
Angles in Polygons — Set A
How many angles does each shape have?
A triangle has ___ angles
A pentagon has ___ angles
A hexagon has ___ angles
A square has ___ angles
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 ___°
Match Angles to Their Sizes
Match each angle type to its possible measurement.
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:
Angles in a Full Turn
Angles in a full turn add to 360°. Find the missing angle.
Quarter Turn Sequence
Each turn is 90°. Count the degrees.
Quarter, Half or Full Turn?
Circle the correct type of turn.
Turning 90° is a...
Turning 180° is a...
Turning 360° is a...
Turning 270° is a...
Classify Shapes by Angles
Classify each shape by its angles.
A square has...
An equilateral triangle has...
An obtuse triangle has...
Match Turns to Degrees
Match.
Match Real Angles to Type
Match each real-world angle to its type.
Sort: Clock Angles
Classify each clock angle.
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 = ___°
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: ___
Design with Angles
Create a shape using only the angles specified.
Draw a shape using only right angles.
Draw a shape with at least one acute angle.
What is the name of your shape? ___
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? ___
Angles in Classroom Objects
Count the angle types in classroom objects.
| Item | Tally | Total |
|---|---|---|
Right angles | ||
Acute angles | ||
Obtuse angles |
Angle Types Used in Architecture
This graph shows how often each angle type appears.
| Right angles | |
| Acute angles | |
| Obtuse angles | |
| Reflex angles |
Which angle type is used most?
How many more right angles than acute angles?
What is the total of all angle types?
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? ___°
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.
Acute, Right or Obtuse?
Circle the correct angle type for each description.
An angle smaller than a right angle
An angle larger than a right angle
The corner of a square
The tip of a star point
Quarter Turns on a Compass
Fill in the missing compass direction after each quarter turn clockwise.
Angles in a Right Angle
Two angles combine to make a right angle (90°). Find the missing angle.
Match: Turn Description to Degrees
Match each turn to its degree measurement.
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?
Sort: Acute, Right or Obtuse?
Sort each object's angle into the correct column.
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:
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).
Angles in Two Right Angles
Two angles combine to make two right angles (180°). Find the missing angle.
Right Angle Turns — Counting Degrees
Count degrees as you add right angles.
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:
Label each angle type in your drawing.
Describe how many of each angle type you used:
Sort Real Angles by Type
Look at each clock time and sort the angle formed by the hands.
Turns and Right Angles
Circle the correct number of right angles.
A half turn = ___ right angles
A full turn = ___ right angles
A three-quarter turn = ___ right angles
Angle Types Found in a Room
Count and record angle types in your room.
| Item | Tally | Total |
|---|---|---|
Acute angles | ||
Right angles | ||
Obtuse angles |
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:
Angle Types in Classroom Furniture
This graph shows the angle types found in 10 pieces of classroom furniture.
| Acute | |
| Right angle | |
| Obtuse |
Which angle type is most common in furniture?
Why do you think furniture mostly uses right angles?
How many pieces of furniture were surveyed?
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.
Angles in Shapes
Circle the correct answer about angles in shapes.
A square has ___ right angles
A triangle can have ___ right angle(s) at most
A rectangle has ___ right angles
An equilateral triangle has ___ angles larger than a right angle
Match Angle to Shape Property
Match each angle description to the shape it describes.
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?
Sort Shapes: Contains a Right Angle or Not?
Sort these shapes by whether they contain a right angle.
Count Right Angles in Shapes
How many right angles are in each shape? Count using ten frames.
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: ___
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?
Angles in Polygons
Answer questions about angles in regular shapes.
A regular hexagon has interior angles of...
An equilateral triangle has angles of...
A square's interior angles are all...
Match: Angle to Everyday Object
Match each angle to an everyday object that contains it.
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:
Sort by Angle Size: Smallest to Largest
Arrange these angles from smallest to largest.
Angles in a Straight Line
Two angles on a straight line add to 180°. Find the missing angle.
Count Angles in Shapes — Ten Frame
Count the right angles in each group of shapes.
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.