Category: Maths Investigation

Maths: Money Investigation Task

This week we have been focusing on money. Today we are going to continue working in adding and subtracting money amounts with a real life-like investigation.

You will be given a money amount and online catalogues to buy 2 presents each for the following people:

– Yourself, an adult female, an adult male, a 15 year old boy and a 4 year old girl.

As you select presents, you will need to add your totals in the table provided to you and you will not be able to go over the money amount that you have been given.

REBEL SPORT

https://www.rebelsport.com.au/catalogue#view=catalogue2&saleId=30562&page=1

K-MART

https://www.kmart.com.au/catalogue#view=catalogue2&saleId=30226&page=27

 

 

Catalogues for Maths Investigation

Here are two catalogues for the maths investigation. Click on the links and find different items to subtract from your money amount.

http://www.rebelsport.com.au/catalogue#view=catalogue2&saleId=21062&page=1

http://www.kmart.com.au/catalogue?utm_source=bing&utm_medium=cpc&utm_campaign=Brand%20%7C%20Pure%20Brand%20%7C%20Core%20Terms%20%7C%20Australia%20%7C%20Exact%20%7C%20Search%20%7C%20All%20Audiences&utm_term=kmart%20catalogue&utm_content=Catalogue&gclid=CKCpw-mn_tkCFUQlvAodp-IGhg&gclsrc=ds#view=catalogue2&saleId=21266&page=1

Volume and Capacity – Magic Potion

Today 3/4A you will complete the capacity task that 3/4J shared at assembly. You will pretend to be Witches and Wizards and will invent a magic potion. You have strict instructions from the head witch (aka Mrs Smythe), that your potion can only be 600 millilitres. You must think of 6 different ingredients to put into your potion. Unfortunately, if one of those ingredients is 100 millilitres the potion will explode. If you use more than 6 ingredients or if your ingredients don’t add to 600 millilitres the potion will also explode.

Instructions

  • The potion you create will need to be 600 millilitres. If it is under or over 600 millilitres it will explode!
  • You can use 6 ingredients in your potion. ONLY 6! Some ingredients you might use? Examples: blood, unicorn hair, frog’s skins, toe nails etc…
  • How many millilitres might each ingredient be if your potion is to be 600 millilitres?
  • You are not to have any ingredient equaling 100 millilitres. If they do your potion will not work and will explode.
  • Challenge yourself to think of other numbers you could use to reach 600.
  • You will brainstorm a way to get to 600 millilitres. Check your answer with Mrs Smythe.
  • You will then be given the measuring jug activity, where you are required to…
      • Give your potion a name, write each ingredient down the bottom and write how many millilitres each one is.
      • You will then put each ingredient into your jug and then you will colour it in.
  • Upon completion you can write a recipe for your potion. You must will list ingredients, method, what happens when the potion is taken and how it can be reversed.

 

Money Maths Investigation

Today you are going to begin a Maths Investigation about money. You are going to use the images of the catalogue to find Christmas presents for 4 people. You will be buying for a girl aged 10, a boy aged 15, an adult female, an adult male and yourself. You will be allowed to spend up to $200 on each person and must buy at least 3 things for each person.

Success Criteria:

  • Find at least 3 items per person… you can only spend a maximum of $200 per person.
  • Record each item in a table with the cost.
  • Add up the cost of the items per person by using addition strategies.
  • Record your answers.
  • Add up the total amount that you have spent.

Money Maths Investigation

Lets Go Shopping – Working With Money In Maths

3/4A today you will be given a Maths investigation that you will really love. Here is your scenario:

It is time to go Christmas shopping. You will be:

  1. Shopping for a family of 4 – A female ( A mum) 45 years of age, A Male (A grandad) 67 years of age, A teenage female 16 years of age and a young male toddler 3 years of age.
  2. You have $1000 because you had saved all year to buy really good presents.
  3. You can spend as much as you would like on each person but your total spending can not go over $1000.
  4. Make sure you keep a tally of your calculations.
  5. You will be marked on your mathematical evidence e.g. your working out
  6. You must be able to keep a running total of your expensives.
  7. Use you grid book, this will keep your calculations neat and easy to understand.
  8. Record your spending by naming the items you buy.
  9. You may use Kidblog to record the items and prices. This will stop you from forgetting exactly what you brought and where from.
  10. You will work with a partner.
  11. Have Fun

Here are the websites you must use to go shopping:

http://www.kmart.com.au

http://www.target.com.au

http://www.myer.com.au

https://www.bigw.com.au

Down The Drain – Maths Investigation

We are conducting a maths investigation to find out how much water is wasted when people brush their teeth. To complete this investigation we will need to use multiplication and understand capacity and how to convert mL to litres.

Step 1: Estimate how much water is wasted when:
a) A person brushes their teeth and does not leave the tap running.
b) A person brushes their teeth and does leave the tap running.

Step 2: Conduct the experiment for both a & b and record the results.

Step 3: Using multiplication, work out how much water is wasted in 1 day, 1 week and 1 year both a & b.

Step 4: Record your results in a table.

Step 5: Present your data in a comparative line graph.

Step 6: Publish your work with a results and conclusion about the investigation.

Line Graph

Today we are going to construct a line graph. We are going to use data from the Victorian Air Quality Index, which measures the air quality and the amount of pollution in the air. Obviously with the Hazelwood Coal Mine fire, the air quality around the Latrobe Valley has not been great.

Look at the example of the line graph below. What do you notice is on the line graph.

Below is some data about the air quality in Morwell, Traralgon and Melbourne from the 21-2-2014.

AIR QUALITY INDEX – 21-2-2014

 12:00PM

TOWN

AQI

SUMMARY

MORWELL

679

VERY GOOD

TRARALGON

56

GOOD

MELBOURNE

20

VERY GOOD

 1:00PM

TOWN

AQI

SUMMARY

MORWELL

1037

VERY POOR

TRARALGON

61

GOOD

MELBOURNE

24

VERY GOOD

 2:00PM

TOWN

AQI

SUMMARY

MORWELL

1338

VERY POOR

TRARALGON

24

VERY GOOD

MELBOURNE

21

VERY GOOD

 3:00PM

TOWN

AQI

SUMMARY

MORWELL

1809

VERY POOR

TRARALGON

40

GOOD

MELBOURNE

30

VERY GOOD

 4:00PM

TOWN

AQI

SUMMARY

MORWELL

1407

VERY POOR

TRARALGON

156

VERY POOR

MELBOURNE

35

VERY GOOD

 AIR QUALITY INDEX RATING

VERY GOOD

GOOD

FAIR

POOR

VERY POOR

0-33

34-66

67-99

100-149

150+

  

Your graph must have the following:

  • Labelled x (time) and y (AQI) axis
  • Ruled axis
  • Equal scale on the y axis
  • Graph the lines that reflect the data (use different colours for each place)
  • Legend (key) the explains key parts of the graph
  • Graph heading

You will need to ensure you complete a rough draft in your book and then you will complete a published graph on a separate sheet of paper.

Addition and Graphing Maths Investigation

Use the data below to make a line graph or bar graph, which shows the average seasonal rainfall for summer, autumn, winter and spring. You must use addition (use two strategies to check that your answer is correct) to calculate the correct data and then make sure you structure your graph correctly with a labelled axis.  

Month

Jan

Feb

Mar

Apr

May

Jun

Jul

Aug

Sep

Oct

Nov

Dec

Rainfall (mm)

47

48

50

57

55

49

48

51

59

66

61

59

Chance & Data – Maths Investigation

Your local council has asked you to submit a report on the weather in your local area, and to make a recommendation as to when to hold the local show.

Investigate the best time of year to hold this event.

Your report needs to include data to justify the decision you have made.

– Research and record the local average monthly minimum and maximum temperatures for January to December.

– Plot the average monthly temperatures on a line graph with a graduated scale.

– Research and record the average monthly rainfall for your area. Show this average monthly rainfall on a column (bar) graph.

Links:

http://www.bom.gov.au/climate/averages/tables/cw_085280.shtml

http://weather.mla.com.au/climate-history/vic/traralgon

http://www.worldweatheronline.com/Traralgon-weather-averages/Victoria/AU.aspx

Perimeter & Area Challenge

A man is constructing a vegetable garden in an area shown in the picture below.

He needs to build a fence, which will cost $20 per metre and cover the ground with soil, which will cost $15 per square metre.

Work out the perimeter and area to discover how much money it will cost to set up the garden.

Some measurements are missing, so you will need to work out what they are before solving the perimeter and area.

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