Maths Project

Term 4 Mathematics Research Task

Look Around! Maths Is Everywhere

Due Date: Week 10 Term 4

Name _________________________________

Aim:

Your task is to investigate and record the Mathematics involved in a topic of your choice.

Groups:

This research task is to be completed individually.

We will spend a considerable amount of time at school looking at ways that you could present your discoveries using as many sub strands of Mathematics as possible. Marks will be given for evidence of calculations and accuracy and these must be recorded  IN YOUR MATHS BOOK!

Ideas:

Listed below are some topic ideas that you may wish to choose from. If you are unsure of what topic to choose please discuss it with your teacher.

·         My Hobby

·         My Favourite Sport

·         Musical Instrument

·         House Plan

·         Amusement Park

·         Planning a Family Holiday

·         Design Your Own Bedroom

·         Television

·         Planning a Party

·         My Primary Years

·         Running a Small Business

·         Restaurant

·         Golf Course and Shop

·         Bowling Alley

Set Up/ Organisation

Before every maths lesson, students are required to share what they are doing and how they are incorporating the outcomes into their overall research task. This is recorded by the teachers and every student will have to contribute. This will be done by some students at the end of each maths session as well. The aim of this is so every student can get a clearer understanding of how to complete their project, see how maths is everywhere and gain ideas from others. Also, for them to get accustomed to presenting mathematical concepts and seeing how it fits in life.

Accountability

After two weeks, students must have completed 2 strands at least. The teachers will collect maths books to see this was completed. This will be done every 2 weeks.

Reward

Two pizzas between four students. Two students will be rewarded based on depth of knowledge and the other two will be based on effort and going past their potential.

Introduction

Before beginning your research task, please use one page to explain:

1. What it is that you are doing
2. Why you choose this topic

Area

selects and uses the appropriate unit to calculate areas, including areas of squares, rectangles and triangles

• How would you use/show area for your project? (show all working out)
• Explain why you chose the unit of measurement that you did.
• Why is measurement of area important for this project?
• Find a way that an area of a triangle can be calculated in regards to your project (show the formula you have used and all working out).

Volume and Capacity

selects and uses the appropriate unit to estimate, measure and calculate volumes and capacities, and converts between units of capacity

• Explain in a few sentences where you would need to use volume and capacity for your project.
• Show your working out for your calculations.
• Choose the appropriate units of measurement (e.g. millilitres, litres etc)
• Calculate the volume of a section of your project (e.g changeroom size, bedroom size)

(show this volume in cubic centimetres and cubic metres)

• Record volumes using the abbreviation for cubic metres (m3)

Mass

selects and uses the appropriate unit and device to measure the masses of objects, and converts between units of mass

• How can mass be used in your project? Please explain it in a few sentences.
• Show the working out for your calculations and include the unit of measurement you used (e.g. kilograms, grams). It needs to be the correct type of unit.
• Use the calculation you have just done and convert it to a different unit of mass (e.g. the mass of bowling ball was 4 kilograms which is 4000 grams)
• record masses using the abbreviation for tonnes (t)
• Depending on your project, are you able to make a connection between money and mass and perhaps even net and gross mass.

Angles

measures and constructs angles, and applies angle relationships to find unknown angles

• Think of ways in which angles are used in your project. List and explain 3 places which angles play a role in your project.
• What type of angles are they? (e.g. obtuse, acute, reflex)
• Measure two angles within your project with a protractor. You may need to create a drawing first (e.g. a bedroom might have lounge set at 45 degrees). We will check. Don’t just make it a right angle.
• Provide the supplementary and complementary angles for the angles you did above.
• Construct an obtuse, acute and right angle that relates to your project. You must use a protractor.

Length

selects and uses the appropriate unit and device to measure lengths and distances, calculates perimeters, and converts between units of length

• Choose the appropriate unit to measure your project. You must ensure that you use the abbreviation when recording length, distance, or perimeter.
• You need to explain how you estimated and measured the length
• Record length using a combination of mm, cm, m & km. Eg. 1 km 200m. You then need to put this into a decimal.
• Create a word problem which involves the length of your project.

3D Space

identifies three-dimensional objects, including prisms and pyramids, on the basis of their properties, and visualises, sketches and constructs them given drawings of different views

This could be done in a table:

• Write or draw the 3D objects that are used within your project. You must name the prisms and pyramids.
• How many parallel faces are there for each object.
• What is the name of the base for each object.
• describe similarities and differences between prisms and pyramid
• Choose at least 2 3D objects and draw the nets for each

Time

uses 24-hour time and am and pm notation in real-life situations, and constructs timelines

• How is time used in your project?

• Calculate the duration of events within your project. Compare this to another students project. Why are the times similar/different?
• Draw a timeline that shows the duration of your project. The timeline must include a suitable scale.

Patterns and Algebra

analyses and creates geometric and number patterns, constructs and completes number sentences, and locates points on the Cartesian plane

• Create a rule in relation to your project in some way (e.g. in the “House Plan”, how much would it cost to build 5, 10, 15 houses, another example: what is the perimeter of one, two, three soccer fields etc)

2D Space

manipulates, classifies and draws two-dimensional shapes, including equilateral, isosceles and scalene triangles, and describes their properties

• What 2D shapes are used in your project?
• How many of each shape are used in your project.
• Extension: explore by measurement side and angle properties of equilateral, isosceles and scalene triangles squares, rectangles, parallelograms and rhombuses

Position

locates and describes position on maps using a grid-reference system

• Draw a map of your project.
• Locate objects within that map using coordinates
• Describe routes using directional language. e.g. north, south, right, left

Data

uses appropriate methods to collect data and constructs, interprets and evaluates data displays, including dot plots, line graphs and two-way tables

• Create a survey which involves your project. For example: for the topic ‘my favourite sport’ how many people are interested in playing your sport, what kind of people play the sport. You can do it on survey monkey and submit the link to your teacher. Interview at least 10 people.
• Graph the information that you have collected
• Write five statement about the information that you have collected. Your statements must include the use of fractions.

• Extensions: Create another graph using the same information and determine which graph is better to use and why.

Chance

conducts chance experiments and assigns probabilities as values between 0 and 1 to describe their outcomes

• describe the probabilities within your project. For example for the topic ‘your favourite sport’ what is the likelihood of you scoring every goal during a penalty shoot out.
• You must use use fractions, decimals and percentages

Whole Number

orders, reads and represents integers of any size and describes properties of whole numbers

• Write down the cost of 6 parts of your project (e.g. for “Planning a Party”, it would be the cost of the hall to hire, DJ etc) and then put them in order from smallest to largest. The numbers MUST be at least 7 digits.
• Include decimals to at least 3 decimal places (i.e. tenths, hundredths, thousandths)

• solve problems using knowledge of factors and multiples, eg 'There are 48 people at a party. In how many ways can you set up the tables and chairs, so that each table seats the same number of people and there are no empty chairs?

Multiplication and Division

selects and applies appropriate strategies for multiplication and division, and applies the order of operations to calculations involving more than one operation

One (hint: think about money)

• Show how you would use multiplication and division for your project.
• Be sure to show your working out and at least 2 different mental strategies for both multiplication and division.
• Try and make it for four digits and higher.

Two

• Create a word problem for multiplication and then one for division.

Ensure the problem uses brackets and order of operations.

Fractions

compares, orders and calculates with fractions, decimals and percentages

• How can you show fractions and/or percentages in your project.
• Think of the cost of your project and list them down (it must be at least 5 costs, e.g. cost of bed if you were designing a room). Now add 12% to that cost.
• (refer back to examples for ways in which you can use it in your project)

FAQS

1. What if we don’t know what to do with one of the strands?

Ask 3 friends before you ask a teacher. It’s not about copying but about exchanging ideas.

2. Can we do any strands in any order?

Yes

3. Where do we present it in?

Your new maths books.

4. Can we do it on the computers?

No

5. Do we have to make the problem really complicated?

The idea is to challenge yourself

6. Where can we find information for each of our strands?

1. Look at your maths books

2. Check out Mathletics
3. Talk to friends
4. Then talk to a teacher