shape work journal - Brisbane Youth Education and Training Centre

SHAPE
Work Journal
QLD191SHD03A
Certificate I in Core Skills for Employment & Training - Numeracy
Student Name: ……………………………………………….……………………………………………………………
Start Date: ________________________
Teacher: _________________________
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End Date: ________________________
ASSESSMENT PROFILE COVER SHEET
Student’s Name:
Assessment Instrument: Work Journal,
online & e-course activities.
Assessment Date:___/___/___
Certificate Code and Name: 39288QLD Certificate I in Core Skills for
Employment and Training- Numeracy
Module Name: Shape
(Work Journal 5 of 5)
Unit of Competency Assessed: QLD191SHD03A Draw 2D and 3D objects and use routine maps and plans to
give directions.
Elements of Competency:
1.1 Apply knowledge of 2D and 3D shapes to describe and draw two everyday objects to scale.
1.2 Construct two common 3D shapes using 2D nets.
2.1 Use two different simple maps to describe locations and give directions.
2.2 Record and explain the mathematical and problem solving process using a combination of written mathematical
language and informal oral language.
Task: You must accurately complete
your work journal, online and e-course
activities.
Reasonable adjustment: Students may be helped with the literacy and
online aspects of this task. Help with literacy can include reading
questions for students or clarifying what is required of a task. Help with
online activities includes assistance to access resources and providing
instructions on how to complete a task.
Competency Attained: Yes  No
Further Evidence Required: Yes  No
Successful completion of QLD191SHD03A will qualify the
student for a statement of attainment.
Student to answer questions, by indicating yes or no.
- Do you understand what competencies are being tested and why they are being tested?
Yes  No
- Do you understand that you have the right to appeal and the
way to do this been explained to you?
Yes  No
- Do you know you can ask for help at any time while completing this assessment?
Yes  No
I agree to undertake assessment in the knowledge that information gathered will only be
used for assessment purposes.
Student’s signature: _________________________________ Date: ___/___/___
Assessor’s signature: ________________________________ Date: ___/___/___
The candidates knowledge and skills are:
 Satisfactory
 Not Satisfactory
Feedback:
Statement of Competency
Competency is achieved when the assessor has gathered sufficient evidence to confidently state that the candidate
has successfully demonstrated the underpinning skills, knowledge and standards required of the elements that
could be reproduced ‘on site’ in an industry setting.
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Brisbane Youth Education & Training Centre 2013 v1.0
This unit is all about shapes and
maps.
We are learning to:
•
Describe and draw 2D and 3D shapes
•
Describe and draw two everyday objects to scale
•
Construct 3D shapes using 2D nets
•
Use maps to describe locations and give directions
Materials you will need:
•
Computer
•
Access to the web
•
Access to a printer
•
A ruler and pencil to draw some shapes
•
Scissors and glue to make a 3D shape from a net
•
A tissue box
•
Dice
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Work Journal icons:
Online activity - Access the internet for this activity.
Oral language activity – When you see this icon call
your teacher over to explain how you solved this
problem.
Assessment –When you see this icon you must be able
to complete the activity without assistance from the
teacher.
Print copy – If you would like to complete this activity
with pen and paper, ask your teacher for a print out.
Loading – This web activity takes a long time to load.
Keep working while you wait.
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Brisbane Youth Education & Training Centre 2013 v1.0
Keep Track of Your Learning
Use the table below to keep track of your progress in this unit.
Tick each box when you have completed the activity.
We are learning to:
Describe and draw 2D shapes
Describe and draw 3D shapes
Describe and draw 2 objects to scale
Construct 3D shapes using nets
Use maps to describe locations and give
directions
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Let’s Get Started!
Here is a list of words you will need to complete this unit. Make
sure you understand and can use all of these words. You are going to be
using them a lot in this unit!
Two- Dimensional shapes
Shapes that have only two dimensions such as length and width. A short
way of saying this is 2D shapes.
Examples:
Three- Dimensional objects
Objects that have length, width and height. A shorter way of saying this
is 3D objects.
Examples:
Side
- the line on the edge of a shape
Corner
- the point where two or more lines meet. Also called a vertex.
side
corner
Edge
- Where two surfaces meet
Face
- A flat surface of a 3D shape
Vertex
- the point where two lines meet. If there is more than one
vertex
vertex, we say vertices.
edge
face
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Scale
- to reduce or enlarge something with a given ratio.
Length
- the distance from one end to the other
Width
- the distance from one side to the other. It is shorter than the
length. It can also be called the breadth.
Height
- the distance from the top to the bottom.
height
width
length
This maths dictionary is excellent. You can look up any of the words
your need extra help with. Click on the ‘T’ and then ‘2D shapes’ and ‘3D
objects’ to see the difference between them. Also, look up ‘Vertex’ and
do the quiz!
http://www.amathsdictionaryforkids.com/dictionary.html
Create a ‘wordle’ using these maths words. You can change the font,
layout and colour until you are happy with the way it looks.
http://www.wordle.net/
Copy and paste your wordle here:
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2D Shapes
Two-dimensional shapes, or 2D shapes, are shapes that have
only 2 dimensions, such as length and width.
Why should we learn about 2D shapes? Watch this video to
find out.
http://www.bbc.co.uk/skillswise/topic/2-d-shapes
Now it is time to check your knowledge with this shape
shooting game. Be careful, some of the shapes will be turned
on their side or upside down!
http://www.sheppardsoftware.com/mathgames/earlymath/shapes_shoot.htm
2D shapes can be described by their name, number of sides
and number of corners.
Corner
This is a ____________.
It has ______ sides.
Side
SQUARE
It has ______ corners.
Easy!
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Now it is time to test your knowledge with this quiz! Drag the
name of the shape onto the description.
http://www.ngfl-cymru.org.uk/gp/pupils/maths/2Dshapes.htm
Try this quiz and print your certificate! Try the level 1 quiz for an
extra challenge.
http://www.bbc.co.uk/skillswise/quiz/ma292dsh-e3-quiz
Use this pinboard to draw a triangle, square, rectangle and
pentagon. Click on ‘Virtual Pinboard’.
In the ‘label text’ button, write 3 labels and drag them on to your
shape. For example, Triangle,
3 sides, 3 corners
http://www.crickweb.co.uk/ks2numeracy-shape-and-weight.html#MatchingPairs3Dshape
Now call your teacher and describe 3 different shapes.
Remember to use cool maths language like:
The name of the shape, how many sides it has, how many
corners it has.
Don’t forget to keep track of your learning! Go back and
tick ‘Describe and draw 2D shapes’. Use the 3D Shapes
bookmark to start working again!
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3D Shapes
Three dimensional shapes are known as 3D shapes and have
the three dimensions of height, width and length. 3D shapes
are solid shapes that can be held. They are real, everyday
objects you can touch like a chair or a pencil.
Watch this video to learn about 3D shapes in everyday life.
http://www.bbc.co.uk/skillswise/topic/3-d-shapes
This shape is a cube.
Height
Cube
Length
Width
Below are some more common 3D shapes.
Sphere
Rectangular based
prism
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Cylinder
Brisbane Youth Education & Training Centre 2013 v1.0
A 3D shape has faces and edges. A face is the flat surface on a
solid shape. An edge is where two faces meet.
1 face
A cube has 6 faces
A cube has 12 edges
Write the name of the 3D shape, how many faces it has and
how many edges it has.
A __________
A __________
A __________
______faces
______faces
______faces
______ edges
______edges
______edges
Click on this link to revise different 3D shapes.
http://www.bgfl.org/bgfl/custom/resources_ftp/client_ftp/ks2/maths/3d/index.htm
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Now that you know all about 3D shapes fill in this table. You
can use the drawing tools to draw a picture. If you prefer, print
out this page and draw the pictures by hand.
Name of 3D shape
Picture
Real life example
Sphere
Cube
Rectangular based
Prism (or cuboid)
Pyramid
Cylinder
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Brisbane Youth Education & Training Centre 2013 v1.0
Try this shape shooting game! Match the name to the correct
3D shape. You will have to be quick!
http://www.sheppardsoftware.com/mathgames/earlymath/shapes_shoot.htm
Click here to play this deadly game. Your mission is to save the
planet!
http://www.bbc.co.uk/bitesize/ks2/maths/shape_space/3d_shapes/play/
Ask your teacher to check your work on 3D objects. Look at
the table where you drew examples of 3D objects. Choose
2 objects to describe to your teacher. Use those deadly
maths words again:
The name of the object
How many faces it has
How many edges it has
Don’t forget to keep track of your learning! Go back and
tick ‘Describe and draw 3D shapes’. Use the Drawing Objects
to Scale bookmark to start working again!
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Drawing Objects to Scale
Now that you know all about 2D shapes and 3D shapes you
can draw a diagram of an everyday object accurately. You can
draw an object to scale. This just means you are drawing the
object very accurately.
We cannot always draw on paper the actual size of real-life
objects. For example, we cannot draw the real size of a car on
a sheet of paper. We need a scale drawing to represent the
real size of a car.
Read more about scale drawings here. Look at this example of
a scale drawing of a horse.
http://www.mathsisfun.com/definitions/scale-drawing.html
This video shows us how to draw pictures to scale. After
clicking ‘Play’ click on the ‘Next button until you reach the part
of the video called ‘Map Scales’.
http://www.bbc.co.uk/schools/ks3bitesize/maths/number/ratio/activity.shtml
Now we are going to practice drawing objects to scale. The
easiest way to do this is with isometric dot paper. You can do
the following activities online. If you prefer, you can print the dot
paper and complete the activities with pencil and paper.
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Use this website to create your scale drawings:
http://illuminations.nctm.org/ActivityDetail.aspx?ID=125
Or print some isometric dot paper here:
http://lrt.ednet.ns.ca/PD/BLM/pdf_files/dot_paper/iso_dot_1cm.pdf
First, we will do a 1D drawing. That means the drawing just has
one dimension – length. We will draw this line to scale.
Real length: 10 cm
We can make the scale 1cm:2cm. That means every 1 cm we
draw represents 2 cm of the original line.
To work out how long the drawing needs to be then divide the
length of the original drawing by 2. So, 10 divided by 2 = 5.
The line you draw needs to be 5cm long. The original line is
shown here, 10 cm long.
Draw your scale drawing on the website or on the isometric dot
paper you printed. The line will be 5cm long, or cross 5 dots.
Paste a copy here:
Show your teacher your first scale drawing! Well done!
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Width 4 cm
Now let’s try a 2D drawing.
Length 6 cm
Let’s make the scale 1cm:2cm again. That means every 1cm
you draw represents 2cm of the original rectangle.
To find the new length and width you need to divide the original
length and width by 2.
Work out the length of the new rectangle.
My sum
________ divided by 2= ________
New length = _______cm
Work out the width of the new rectangle.
My sum
_________ divided by 2 = ________
New width = _______cm
Now go ahead and draw your rectangle. Draw your scale
drawing on the website or on the isometric dot paper you
printed. Paste a copy here:
Excellent work! Ask
your teacher to check
your calculations and
your drawing.
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Brisbane Youth Education & Training Centre 2013 v1.0
Drawing a Tissue Box
Now let’s try and draw a real life object to scale.
Length:
Width:
Height:
20cm
10cm
10cm
Ask your teacher for a real
tissue box. This will help you
describe and draw it.
First, describe the tissue box to your teacher using
mathematical language. What type of 3D shape is it? How
many faces does it have?. Show your teacher the edges and
the vertices. What is the length, width and height of the box?
Now let’s think about how to draw it.
Let’s make the scale 1cm:2cm again. That means every 1cm
you draw represents 2cm of the original tissue box.
To find the new length, width and height you need to divide the
original length, width and height by 2.
Work out the length of the new tissue box.
My sum
________ divided by 2= ________
New length = _______cm
Work out the width of the new tissue box.
My sum
_________ divided by 2 = ________
New width = _______cm
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Work out the height of the new tissue box.
My sum
_________ divided by 2 = ________
New height = _______cm
Draw your scale drawing on the website or on the isometric dot
paper you printed. Paste a copy here:
Wow! Ask your teacher to check your
calculations and your scale drawing. Explain
to your teacher how you calculated the
length, width and height for your scale
drawing.
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Drawing Dice
Let’s try one last drawing.
The dimensions of a dice:
Length 2cm
Width
2cm
Height
2cm
Ask your teacher for real
dice. This will help you
describe and draw it.
First, describe the dice to your teacher using mathematical
language. What type of 3D shape is it? How many faces does it
have?. Show your teacher the edges and the vertices. What is
the length, width and height of the dice?
Now let’s think about how to draw it.
Let’s make the scale 1cm:2cm again. That means every 1cm
you draw represents 2cm of the original dice.
To find the new length, width and height you need to divide the
original length, width and height by 2.
Work out the length of the new dice.
My sum
________ divided by 2= ________
New length = _______cm
Work out the width of the new dice.
My sum
_________ divided by 2 = ________
New width = _______cm
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Work out the height of the new dice.
My sum
_________ divided by 2 = ________
New height = _______cm
Draw your scale drawing on the website or on the isometric dot
paper you printed. Paste your drawing here:
Ask your teacher to come and check your
calculations and your scale drawings. Explain
to your teacher how you calculated the length,
width and height of your scale drawing.
You are amazing! Scale drawing is not easy but now you are
an expert. Well done!
Don’t forget to keep track of your learning! Go back and
tick ‘Describe and draw 2 objects to scale’. Use the Nets
bookmark to start working again!
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Brisbane Youth Education & Training Centre 2013 v1.0
Nets
Some 3D shapes can be folded out to a flat shape to show all
the faces. This flat shape is called a net.
Take this quick quiz to match the net with the 3D shape it
makes.
http://au.ixl.com/math/year-5/nets-of-3-dimensional-figures
Identify the following 3D shapes from the nets provided.
cube
a
)
pyramid
cylinder
This net makes a
b)
This net makes a
c)
This net makes a
e)d)
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This net makes a
rectangular based prism
Now it is your turn! You are going to create two 3D shapes from
nets. After you have printed your net, cut it out very carefully.
Fold over each line. Then fold up your net and glue it together.
Lovely!
This site has lots of 3D shapes to choose from.
1. Click on ‘3D shapes’
2. Click ‘Next’
3. Click on the shape you want to create
4. Click on the picture of the net
Remember, you need to print 2 nets. If you want a challenge,
try the dodecahedron!
http://www.bgfl.org/bgfl/custom/resources_ftp/client_ftp/ks2/maths/3d/index.htm
I made a ___________________________ . It has
_________faces. It has ________edges and _______vertices.
I also made a ___________________________ . It has
_________faces. It has ________edges and _______vertices.
Fabulous! Ask your teacher to check your 3D shapes. Choose 1
shape to describe to your teacher. Use those new maths words
you have learnt – faces, edges, vertices. And the name of the
shape of course!
Don’t forget to keep track of your learning! Go back and tick ‘Construct
3D shapes using nets’. Use the Maps bookmark to start working again!
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Brisbane Youth Education & Training Centre 2013 v1.0
Maps
We often need to use maps in our everyday life.
To find and locate objects on a map we can use co –ordinates.
When using co-ordinates we always state the x-axis first and
then the y-axis. The x-axis is horizontal
and the y-axis is
vertical .
E
D
C
B
A
1
2
3
4
5
At 3C is the BP sign.
At 1A there is a helicopter.
What is at 1E? __________________________
What is at 5A? __________________________
Draw a circle at 3B.
What picture is to the right of the circle you drew?
________________
State its co-ordinates. (Remember, x-axis first!
_________________
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)
This is a street map.
N
M
L
K
J
I
H
G
F
E
D
C
B
A
1
2
3
4
5
6
7
8
9
10
11
12
13
Find these streets on the map and write down the co-ordinates.
(Remember, x-axis first!
)
Queen Street ________________
Ann Street
________________
What street is at the following co-ordinates?
3N
________________
10L
________________
Well done! Ask your teacher to check your
work with maps and coordinates.
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Brisbane Youth Education & Training Centre 2013 v1.0
Directions
When we tell someone how to get somewhere we give them
directions.
Here are some examples of directions we can use.
Turn left
Go past the church
Follow the road
Cross the street
Walk North
Travel South
Head East
Drive West
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Turn right
The Compass
The main points of the compass are North, South, East and
West.
The symbol used for North is N
Try this activity online. You need to follow the directions to mark
in different campsites on the map. Use the compass in the top
right hand corner of the screen to help you.
https://learningplace.eq.edu.au/cx/resources/items/df16d5a1-eade-68ee-994a-17e1e912f2a7/5/viewIMS.jsp
This online game gives you lots of map reading practice. For
now, just play the level 1 game. You will be an expert at
following directions.
https://learningplace.eq.edu.au/cx/resources/items/d4af087c-8b82-5ac2-97e0-91e02722ed86/1/viewIMS.jsp
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Now let’s have a go at reading this map.
Sally lives at F9 in Lucania Court. These are the directions for
her to travel to school.
Follow along on the map
as you read each
direction.
• Out of Lucania Court
• Turn right into
Wongawallen Road
• Follow Wongawallan
Road until you reach
Long Road
• Turn left into Long
Road
• Cross Eagle Heights
Road and continue to the
Tambourine Mountain
Primary School – D17
Now it is your turn. Write another set of directions for Sally to
get to school.
• Out of Lucania Court
• ___________________________________________________
• ___________________________________________________
• ___________________________________________________
• ___________________________________________________
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Follow these directions and write down where you end up.
•
Start at F3 – Saguaro Ct
•
Walk to Magnetic Rd and turn Left
•
Cross Contour Road
•
Turn right at the next road
What Road are you on?
________________________________________________
Great work! Ask your teacher to check your work.
Use this map of a cattle station to answer the questions. You
can print a copy so that it is easier to use.
https://learningplace.eq.edu.au/cx/resources/file/6e2edd0a-14ae-ffca-1b7e-e5950c4b2689/1/MY7_S_LDM_SH_cattle.pdf
This online game gives you lots of map reading practice.
Try level 2 now. You are practising giving directions!
https://learningplace.eq.edu.au/cx/resources/items/d4af087c-8b82-5ac2-97e0-91e02722ed86/1/viewIMS.jsp
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Use the map below to write simple directions. Use North, South,
East or West in some of your directions. Use turn right or turn
left when you need to.
From the parking on Butterfield St to O’Connell Tce.
__________________________________________________
__________________________________________________
__________________________________________________
__________________________________________________
Ask your teacher to check your directions.
Choose one of the questions and explain
how you worked out what directions to give.
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Now that you are an expert in giving directions, try Level 3 of
this game. You are going to create your own path and write
directions for a friend to follow. Make sure you print the activity
sheet and write the directions down clearly.
https://learningplace.eq.edu.au/cx/resources/items/d4af087c-8b82-5ac2-97e0-91e02722ed86/1/viewIMS.jsp
Ask your teacher to check your directions. Can
your teacher follow them easily and end up in
the right place?
That’s all for now! Well done!
Don’t forget to keep track of your learning! Go back and
tick ‘Use maps to describe locations and give directions’. Use
the Reflection bookmark to get back here!
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Reflection
Now it is time to think about and reflect on your learning. Think
about the unit of work you have just finished and fill in this table.
Tick the box next to the picture or words you agree with the
most.
Not at all
A little
bit
A lot
No
Maybe
Yes
I enjoyed learning about
shapes and maps
My maths skills have
improved
I need to learn more about
shapes and maps
Now I am really good at ______________________________________
I need to keep working on _____________________________________
Congratulations!! You are finished the Shape unit! Now you are
an expert at describing and drawing shapes AND reading maps.
Too deadly!
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Assessment Evidence
Performance Criteria
Evidence in Workbook
1.1 Apply knowledge of 2D and 3D
shapes to describe and draw two
everyday objects to scale.
Draw a tissue box to scale p17-18
1.2 Construct two common 3D shapes
using 2D nets.
Construct 2 nets p22
2.1 Use two different simple maps to
describe locations and give directions.
Describe locations p24, p27, p28
2.2 Record and explain the
mathematical and problem solving process
using a combination of written
mathematical language and informal
oral language.
Draw a tissue box to scale p17-18
Draw a dice to scale p19-20
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Give directions p29, p30
Draw a dice to scale p19-20
Give directions p29-30
Informal oral language - This symbol
indicates an oral language activity
Brisbane Youth Education & Training Centre 2013 v1.0