open ended maths tasks for Time and Angles

1. OPEN ENDED TASKS: ANGLES
Choose activities to investigate and show all of your
working out in your Maths book.
What If You will need a ruler and protractor.
The Question
Angles Name…………….
The Brainstorming
# What if buildings were # How many things can you see in the room that have # If “right angle” is the
designed without angles? What angles? (right, acute, obtuse) answer, what are 5
could they look like? questions?
# What angles can you see in the playground equipment.
Draw or take a photo of one piece of equipment and write in
the angles. If “reflex angle” is the
answer, what are 5
# List or draw where you find angles in sport? questions?
Identify and draw the
type of angles formed #Draw a basic house and name and label at least 2 different
by a clock at various angles.
times of the day. #Log into Mathletics. Find Rainforest Maths. Complete
questions on angles.
Look at some flags
from different
countries. Identify and 1. Draw some closed shapes using 6 lines and 4 right angles.
record all the angles 2. Draw some triangles in which one of the angles is double one of the others. (use a
you can find. (right, protractor and label your picture)
acute, obtuse, straight 3. The angles of a shape add up to 540 degrees but the angles are not all the same size.
or reflex) What might the shape look like? (you will need a ruler and protractor)
4. Draw some irregular 2D shapes and record the types of angles. (not squares or
Explain what it means rectangles)
in football if you are on 5. Complete all of the angles on the Roger Federer picture.
an acute angle. Draw a
diagram. ####Draw a picture of a house with EXACTLY 24 right angles, 6 acute angles and 2
obtuse angles.
Find a building where
the architect has used ####Create an orienteering map of our school. Use a compass and give instructions
interesting angles. using DEGREES and metres of the course that you have designed.
Explain.

2. OPEN ENDED TASKS: ANGLES
Choose activities to investigate and show all of your
What If
working out in your Maths book. The Question
TIME Name…………….
What if clocks and watches If 3.47pm is the answer,
weren’t invented? The Brainstorming The Reverse what are the questions?
How would you measure time?
Create your own system of If midday is the answer,
telling the time. what are the questions?
When doesn’t time If June is the answer, what
How many things can matter? are the questions?
Fermi Questions
CHALLENGE you do 100 times in a
minute? In what situation would
How many times does you not know what the
your heart beat per What do you do a
thousand times a day? time was?
day? per week? per
year?
1. The time is 25 minutes past 3. Show this time in as many ways as possible.
How many hours of tv
will you watch in your 2. What are the times when the hour hand and minute hand are at right angles?
lifetime?
3. What is something you could do 10,000 times a day?
• How many days
would it take to walk 4. A football match takes 2 hours and 15 minutes. What could be some suitable starting
from Melbourne to and finishing times?
Sydney?
5. Our car trip took 2 and half hours. We travelled at a speed of 80km/h. Describe our
Approximately, how journey. Draw a map to show your journey.
many minutes of
football were played in 6. Approximately how many days have you spent at school? How many meals have you
the 2012 AFL this eaten in your life? How many hours of tv have you watched? How many times have
year? you sneezed?

3. OPEN ENDED TASKS: ANGLES: DRAW AND LIST
ALL THE ANGLES
Roger Federer Angles