# 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

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.

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.

# Perimeter – Our Morning Run Distance

Every morning we run or walk the perimeter of the school.

– What formal and informal measuring tools could we use to measure the perimeter of our school?

– What unit of measurement will we use?

– Measure the perimeter of the school.

– What is the perimeter of the school in metres? Convert this to kilometres.

– How many metres would we run each week? Convert this to kilometres.

– If we ran everyday of the school year (200 days), how many metres would we run? Convert this to kilometres.

Record your results in a post below.

# Maths Investigation (down the drain) – Final Presentations

Following our grade’s maths investigation, the students published their work. They have discovered that we waste a huge amount of water from dripping taps and from leaving taps running while we are brushing our teeth.

During this investigation, students needed to record data, present data in a line graph, analyse data and used subtraction and multiplication.