SHAPE. Work Journal. Student Name:. QLD191SHD03A Certificate I in Core Skills for Employment & Training - Numeracy. Teacher:

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1 SHAPE Work Journal QLD191SHD03A Certificate I in Core Skills for Employment & Training - Numeracy Student Name:. Start Date: End Date: Teacher: 1

2 ASSESSMENT PROFILE COVER SHEET Student s Name: Assessment Date: / / Assessment Instrument: Work Journal, online & e-course activities. 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. 2 Brisbane Youth Education & Training Centre 2013 v1.0

3 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 3

4 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. 4 Brisbane Youth Education & Training Centre 2013 v1.0

5 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 5

6 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 Corner - the line on the edge of a shape - the point where two or more lines meet. Also called a vertex. corner side Edge Face - Where two surfaces meet - A flat surface of a 3D shape Vertex - the point where two lines meet. If there is more than one vertex, we say vertices. vertex edge face 6 Brisbane Youth Education & Training Centre 2013 v1.0

7 Scale Length Width Height - to reduce or enlarge something with a given ratio. - the distance from one end to the other - the distance from one side to the other. It is shorter than the length. It can also be called the breadth. - 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! Create a wordle using these maths words. You can change the font, layout and colour until you are happy with the way it looks. Copy and paste your wordle here: 7

8 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. 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! 2D shapes can be described by their name, number of sides and number of corners. Corner This is a. Side SQUARE It has sides. It has corners. Easy! 8 Brisbane Youth Education & Training Centre 2013 v1.0

9 Now it is time to test your knowledge with this quiz! Drag the name of the shape onto the description. Try this quiz and print your certificate! Try the level 1 quiz for an extra challenge. 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 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. 9 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!

10 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. This shape is a cube. Height Cube Length Width Below are some more common 3D shapes. Sphere Rectangular based Cylinder prism 10 Brisbane Youth Education & Training Centre 2013 v1.0

11 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. 11

12 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 12 Brisbane Youth Education & Training Centre 2013 v1.0

13 Try this shape shooting game! Match the name to the correct 3D shape. You will have to be quick! Click here to play this deadly game. Your mission is to save the planet! 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! 13

14 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. 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. 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. 14 Brisbane Youth Education & Training Centre 2013 v1.0

15 Use this website to create your scale drawings: Or print some isometric dot paper here: 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: 15 Show your teacher your first scale drawing! Well done!

16 Now let s try a 2D drawing. Width 4 cm 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. 16 Brisbane Youth Education & Training Centre 2013 v1.0

17 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 17

18 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. 18 Brisbane Youth Education & Training Centre 2013 v1.0

19 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 19

20 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! 20 Brisbane Youth Education & Training Centre 2013 v1.0

21 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. Identify the following 3D shapes from the nets provided. cube pyramid cylinder rectangular based prism a ) This net makes a b) This net makes a c) This net makes a e) This net makes a d) 21

22 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! 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! 22 Brisbane Youth Education & Training Centre 2013 v1.0

23 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 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! ) 23

24 This is a street map. N M L K J I H G F E D C B A 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. 24 Brisbane Youth Education & Training Centre 2013 v1.0

25 Directions When we tell someone how to get somewhere we give them directions. Here are some examples of directions we can use. Turn left Turn right Go past the church Follow the road Cross the street Walk North Travel South Head East Drive West 25

26 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. 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 Brisbane Youth Education & Training Centre 2013 v1.0

27 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 27

28 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. This online game gives you lots of map reading practice. Try level 2 now. You are practising giving directions! 28 Brisbane Youth Education & Training Centre 2013 v1.0

29 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. 29

30 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. 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! 30 Brisbane Youth Education & Training Centre 2013 v1.0

31 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 I enjoyed learning about shapes and maps My maths skills have improved I need to learn more about shapes and maps No Maybe Yes 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! 31

32 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 Draw a dice to scale p Construct two common 3D shapes using 2D nets. 2.1 Use two different simple maps to describe locations and give directions. Construct 2 nets p22 Describe locations p24, p27, p28 Give directions p29, p 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 Give directions p29-30 Informal oral language - This symbol indicates an oral language activity 32 Brisbane Youth Education & Training Centre 2013 v1.0