Assignment 1 Guide
Investigation
Phase
Introduction
Task
e. Enter the dimensions required into the drawings
Carry out the example
calculations
Task
f. Make notes of the calculations to be used
Carry out the Task
Objectives
This
guide will help you to: -
· Complete assignment 1
- task e and task f
You
should have a copy of following two assignment documents.
Assignment
Scenario
Assignment
1: Investigating the problem
Task
e. Enter the dimensions required into the
drawings
In order to complete Assignment 1 Task
e, you need to print the
Scenario document.
The last page of the scenario shows the
different field and lawn shapes.
Although you are expected to create a program that can
deal with different lawn and field sizes, for this task you are required to
label the diagrams using the example lawn and field sizes. This is for
practice - to help you to figure out the calculations that need to be done
for any lawn and field sizes.
The example lawn and field sizes are given in the
scenario document. I will also show them here.
Lawn 1:
Lawn 1 is a rectangle measuring 18 metres by 12 metres.
Lawn 2:
Lawn 2 is a circle with a diameter of 16 metres. The
radius is half the diameter. You should write the radius on the
drawing and not the diameter. This will make your calculations
easier.
Field 1:
The big rectangle measures 120metres by 100 metres, and
the small rectangle (the bit missing) measures 55 metres by 50 metres.
Field 2:
The field is 100 metres by 75 metres and the pond has a
diameter of 25 metres. The radius is half the diameter. You
should write the radius on the drawing and not the diameter. This
will make your calculations easier.
~~Activity~~
|
Activity A
|
- Write the dimensions for each lawn
and field on your diagram.
- Make sure you write the task number
and your name on the top of the page
|
In order to complete Assignment 1
Task
f, you need to make notes of the calculations to be used.
The instructions for calculating are given in the scenario document are
given in the scenario document. I will also give them here.
Calculate the Areas
Lawn 1:
Write down the formula for calculating the area of the
rectangle. e.g.
Using the formula, calculate the area using the example
measurements you wrote on your diagram, e.g.
Lawn 2:
Write down the formula for calculating the area of a
circle. e.g.
The fraction 22/7 will give nearly the same
value as pi.
Using the formula, calculate the area using the example
measurements you wrote on your diagram, e.g.
Field 1:
It is best to think of this field as a big rectangle
with a small rectangle removed to form the ‘L’ shape. You can calculate
each rectangle separately and subtract the missing rectangle from the
large rectangle.
-
Area of large rectangle
= length1 * width1
-
Area of small rectangle
= length2 * width2
-
Total field1 area =
Area of large rectangle -
Area of small rectangle
Using each formula, calculate the area using the example
measurements you wrote on your diagram, e.g.
-
Area of the example large
rectangle =
-
Area of the example small
rectangle =
-
Total area of the example
field1 L-shape =
Field 2:
To calculate the area of the field with the pond in the
middle, first calculate the area of the rectangle, then calculate the
area of the circular pond, then subtract the pond area from the
rectangle area.
-
Area of field2 rectangle
= length * width
-
Area of a field2 circle
=
22 * r * r / 7
-
Total field2 area =
Area of rectangle - Area of
circular pond
Using each formulae, calculate the area using the
example measurements you wrote on your diagram, e.g.
-
Area of the example rectangle
=
-
Area of the example pond
=
-
Total area of the example
field2 =
~~Activity~~
|
Activity B
|
- Using a calculator, convince
yourself that the fraction 22/7 is
nearly the same value as pi.
|
Now that you have found the areas of
each shape, you can now calculate the amount of seeds
required for each one.
Write down the general formula for
calculating the amount of seeds
Amount of seeds (grams) = Area *
number of grams that cover 1
square meter
For lawn seed,
30 grams of seed covers one
square metre of lawn
For hay meadow seed,
20 grams of seed covers one
square metre of lawn
Now you have all the information you
need to calculate the amount of seed needed for each
area.
Now that you have found the amount of
seeds for each area, you can now calculate the number of
bags.
Write down the general formula for
calculating the number of bags of seed
number of bags of seed = amount of
seed / grams in a bag
Lawn seed is purchased in 1
kilogram bags
Hay meadow seed is purchased in
5 kilogram bags
Now you have all the information you
need to calculate the a number of bags of each seed
type.
~~Activity~~
|
Activity C
|
- You can check your answers for the
lawn calculations using this
quiz.
- You can check your answers for the
field calculations using this
quiz.
|
Task f. Make notes of the calculations to be used
Now that you
have practiced calculating amounts of seed and number of
bags, using the example measurements, now you need to
write down the general formulae.
~~Activity~~
|
Activity D
|
- Try this
quiz to practice using formulae and
determining if the calculations in the
correct order
|
Writing down
general formulae will be useful for when needing to
perform calculations on fields and lawns that are
different sizes to the examples.
~~Activity~~
|
Activity E
|
- Write down the formulae for
calculating the four different areas.
I'll start you off...
- Area of
lawn rectangle = length *
width
- Area of
lawn circle =
- Area of
field L-shape =
- Area of
field with pond =
- Write down the formulae for
calculating the four amount of seeds
needed for each area. I'll start
you off...
- Amount of
seeds for lawn1 = Area of
lawn rectangle * number of grams
that cover 1 square meter
- Amount of
seeds for lawn2 =
- Amount of
seeds for field1 =
- Amount of
seeds for field2 =
- Write down the formulae for
calculating the total amount of lawn
seed and the total amount of hay meadow
seed. I'll start you off...
-
Total lawn
seed =
-
Total hay
meadow seed =
- Write down the formulae for
calculating the number of bags of lawn
seed and the number of bags of hay
meadow seed. I'll start you off...
- Number of
bags of lawn seed =
- Number of
bags of hay meadow seed =
|
You need to hand in the following for task e and
task f.
Write your name in the document header.
The structure of your documents should be as follows:-
Assignment 1: Investigating the Problem:
Task
e: Enter the dimensions required into the drawings
This page should show the diagram
of the lawn and field shapes with the dimensions written on
Assignment 1: Investigating the Problem:
Task
f: Carry out the example calculations
This page should show your
calculations where you used the example lawn and field measurements from
your diagram
Assignment 1: Investigating the Problem:
Task
f: Make notes of the calculations to be used
This page should show your general
formulae from Activity C
Have you finished all the tasks and handed them in?
If so - well done.
|
