Open ended mathe tasks

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OPEN ENDED TASKS: ANGLES A ngles Name… … … … … . W hatIf # What if buildings were designed w ithout angles? W hat could they look like? TheQ uestion # If “right angle” is the answ er, w hat are 5 questions? If “reflex angle” is the answ er, w hat are 5 questions? The Brainstorm ing # How many things can you see in the room that have angles? (right, acute, obtuse) # W hat angles can you see in the playground equipm ent. D raw ortake a photo ofone piece ofequipm entand write in the angles. # Listordraw w here you find anglesin sport? #D raw a basic house and nam e and labelatleast2 different angles. # Log into M athletics.Find R ainforest M aths.C om plete questionson angles. Identify and draw the type ofanglesform ed by a clock atvarious tim esofthe day. Look atsom e flags from different countries. Identify and record allthe angles you can find.(right, acute, obtuse, straight or reflex) Explain w hatitm eans in footballifyou are on an acute angle. D raw a diagram . Find a building w here the architecthasused interesting angles. Explain. 1. D raw som e closed shapesusing 6 linesand 4 rightangles. 2. D raw som e trianglesin w hich one ofthe anglesisdouble one ofthe others. (use a protractor and labelyour picture) 3. T he anglesofa shape add up to 540 degreesbutthe anglesare notallthe sam e size. W hatm ightthe shape look like? (you w illneed a ruler and protractor) 4. D raw som e irregular 2D shapesand record the typesofangles. (notsquaresor rectangles) 5. Com plete allofthe angleson the R oger Federer picture. ####D raw a picture ofa house w ith E X A C TLY 24 rightangles, 6 acute anglesand 2 obtuse angles. ####C reate an orienteering m ap ofour school. U se a com passand give instructions using D EG R EES and m etresofthe course thatyou have designed. C hoose activitiesto investigate and show allofyour w orking outin your M athsbook. Y ou w illneed a ruler and protractor.

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open ended maths tasks for Time and Angles

Transcript of Open ended mathe tasks

Page 1: Open ended mathe tasks

OPEN ENDED TASKS: ANGLES

Angles Name…………….

What If

# What if buildings were designed without angles? What could they look like?

The Question

# If “right angle” is the answer, what are 5 questions? If “reflex angle” is the answer, what are 5 questions?

The Brainstorming # How many things can you see in the room that have angles? (right, acute, obtuse) # What angles can you see in the playground equipment. Draw or take a photo of one piece of equipment and write in the angles. # List or draw where you find angles in sport? #Draw a basic house and name and label at least 2 different angles. #Log into Mathletics. Find Rainforest Maths. Complete questions on angles.

Identify and draw the type of angles formed by a clock at various times of the day. Look at some flags from different countries. Identify and record all the angles you can find. (right, acute, obtuse, straight or reflex) Explain what it means in football if you are on an acute angle. Draw a diagram. Find a building where the architect has used interesting angles. Explain.

1. Draw some closed shapes using 6 lines and 4 right angles. 2. Draw some triangles in which one of the angles is double one of the others. (use a

protractor and label your picture) 3. The angles of a shape add up to 540 degrees but the angles are not all the same size.

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

rectangles) 5. Complete all of the angles on the Roger Federer picture. ####Draw a picture of a house with EXACTLY 24 right angles, 6 acute angles and 2 obtuse angles. ####Create an orienteering map of our school. Use a compass and give instructions using DEGREES and metres of the course that you have designed.

Choose activities to investigate and show all of your working out in your Maths book.

You will need a ruler and protractor.

Page 2: Open ended mathe tasks

OPEN ENDED TASKS: ANGLES

TIME Name…………….

What If

What if clocks and watches weren’t invented? How would you measure time? Create your own system of telling the time.

The Question

If 3.47pm is the answer, what are the questions? If midday is the answer, what are the questions? If June is the answer, what are the questions?

The Brainstorming

How many things can you do 100 times in a minute? What do you do a thousand times a day?

The Reverse

When doesn’t time matter? In what situation would you not know what the time was?

Fermi Questions CHALLENGE

How many times does your heart beat per day? per week? per year? How many hours of tv will you watch in your lifetime? • How many days would it take to walk from Melbourne to Sydney? Approximately, how many minutes of football were played in the 2012 AFL this year?

1. The time is 25 minutes past 3. Show this time in as many ways as possible.

2. What are the times when the hour hand and minute hand are at right angles?

3. What is something you could do 10,000 times a day?

4. A football match takes 2 hours and 15 minutes. What could be some suitable starting and finishing times?

5. Our car trip took 2 and half hours. We travelled at a speed of 80km/h. Describe our

journey. Draw a map to show your journey.

6. Approximately how many days have you spent at school? How many meals have you eaten in your life? How many hours of tv have you watched? How many times have you sneezed?

Choose activities to investigate and show all of your working out in your Maths book.

Page 3: Open ended mathe tasks

OPEN ENDED TASKS: ANGLES: DRAW AND LIST ALL THE ANGLES

Roger Federer Angles