Grow your. Yellow 5. The wee Maths Book. Growth. of Big Brain. Guaranteed to make your brain grow, just add some effort and hard work
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1 Grow your Yellow 5 Guaranteed to make your brain grow, just add some effort and hard work Don t be afraid if you don t know how to do it, yet! The wee Maths Book of Big Brain Growth Volume and Nets It s not how fast you finish, but that you finish. It s always better to try something than to try nothing. Don t be worried about getting it wrong, getting it wrong is just part of the process known better as learning.
2 Volumes (MTH 2-11c, MTH 3-11a, MTH 3-11b) M15s I can find the volumes of solids such as cubes, cuboids and other solids by counting cubes. In each of the questions below, there are two views of the same pile of cubic centimetres. Find the volume of each pile of cubes Page 2
3 Page 3
4 7. Each of the cuboids below are made from piling up cubic centimetres Find the volume of each cube. (a) (b) (c) Page 4
5 M16s I can comfortably convert between litres, millilitres and cubic centimetres. 1. Write the volume of each of the following items in litres. (a) (b) (c) 2000 cm cm cm 3 (d) (e) (f) 5 ml 568 cm ml Page 5
6 (g) (h) (i) 500 ml 750 ml 3500 cm 3 (j) (k) (l) cm cm ml 2. Write the volume of each of the following items in millilitres. (a) 160 litres (b) 50 litres (c) 2 litres (d) litres (e) 4 litres (f) 0 5 litres (g) litres (h) 0 75 litres (i) 0 05 litres 3. For each of your answers in Q2, give an example, from real life, of a container which would normally contain that volume. Page 6
7 M17t I can calculate the volume of a variety of 3D shapes including prisms by applying a formula 1. A fish tank is 55 cm long, 40 cm wide and 25 cm high, as shown. 25 cm 55cm 40 cm (a) What formula would you use to calculate the volume of the tank? (b) Calculate how much water you need to fill the tank to the top. (c) Another fish tank holds twice the amount of water. How much water do you need to fill it to the top? 2. Calculate the volume of each of the following shapes: (a) (b) cube 3cm 5cm 6cm 4cm Page 7
8 3. The volume of this cuboid is 3600cmᵌ. Calculate the height of the cuboid. h 15cm 12cm 4. Find the volume of the prisms shown. (a) (b) (c) (d) Page 8
9 5. A fish tank is 40 cm long, 25 cm wide and 20 cm high, as shown. 20 cm 40cm 25 cm (a) What formula would you use to calculate the volume of the tank? (b) Calculate how much water you need to fill the tank to the top. 6. Calculate the volume of each of the following shapes: (a) (b) cube 8cm 10cm 4cm 5cm 7. The volume of this cuboid is 3600cmᵌ. Calculate the height of the cuboid. h 15cm 12cm Page 9
10 8. Find the volume of the prisms shown. (a) (b) Area Area = 12cm 2 = 5m 2 6cm 10m (c) (d) Area = 100cm 2 25cm Area = 40m 2 13m (e) (f) Area Area = 64m 2 150cm = 43cm 2 0 5m Page 10
11 9. The diagram shows a triangular prism. The dimensions are given on the diagram. (a) Calculate the area of the cross section of the prism. (b) Calculate the volume of the prism. 10. The diagram shows another triangular prism. The dimensions are given on the diagram. 2 m 3 m 5 m (a) Calculate the area of the cross section of the prism. (b) Calculate the volume of the prism. Page 11
12 M18t Having investigated different routes to a solution, I can find volume of compound 3D objects (cuboids only), applying my knowledge to solve practical problems. 1. The diagram shows two compound shapes made from cuboids. The dimensions are given on the diagrams. Find the volume of each shape. (a) (b) 2. The volume of the prism, shown below, can be calculated using the prism formula or from the fact that it is made up from compound cuboids. Find the volume using the two methods and check that in both cases the answers are equal. Page 12
13 3. Again, the volume of the prism, shown below, can be calculated using the prism formula or from the fact that it is made up from compound cuboids. Again, find the volume using the two methods and check that in both cases the answers are equal. 4. Calculate the volume of the shape shown below. Is the shape a prism? Page 13
14 3D Shape (MTH 2-16a, MTH 2-16b, MTH 2-16c) S16s I can use appropriate mathematical language when referring to 3D shapes using words such as faces, edges and vertices 1. Below is a diagram of a triangular prism. (a) How many faces does it have? (b) How many vertices does it have? (c) How many edges does it have? 2. Below is a diagram of a square based pyramid. (a) How many faces does it have? (b) How many vertices does it have? (c) How many edges does it have? Page 14
15 S17s I can recognise and name three-dimensional shapes from their two-dimensional representations: cube, pyramid, cylinder, cuboid, cone and sphere 1. Pick the correct net for the cone. 2. Pick the correct net for the triangular prism. Page 15
16 3. Pick the correct net for the hexagonal prism. 4. Pick the correct net for the cylinder. Page 16
17 5. Pick the correct net for the square based pyramid. 6. Pick the correct net for the cube Page 17
18 S18s I can construct a 3D shape from their net of (cube, cuboid and triangular Prism). 1. Complete the Net of a Cube worksheet. 2. Complete the Net of a Cuboid worksheet. 3. Complete the Net of a Triangular Prism worksheet. Page 18
19 S19s I can make a 2D drawing to represent a cube or a cuboid. 1. On squared paper draw three different nets of a cube. 2. Which of the following nets below represent a net of a cube (a) (b) (c) (d) (e) (f) (g) (h) (i) Page 19
20 A well nurtured and emotionally healthy pupil will know that they can improve their brain power through regularly applying themselves to his/her studies in class and by completing all of the tasks in this booklet. He/she will feel more included, respected and will develop greater levels of responsibility if you regularly discuss with them their progress, both progress in class and progress through this booklet. You will encourage him/her to be a passive learner and intellectually lazy if you show them how to attempt every question. Encourage them to think for themselves. Your child will achieve more if they actively experiment with the questions in this booklet, safe in the knowledge that they can learn from any mistakes made. Tips for Parents 1. Talk to your child on a regular basis about the work they are attempting in Mathematics. 2. Give praise for appropriate effort and resilience, and avoid praise which uses the words clever or smart. 3. Talk about your child's brain power improving through hard work and not being something that is fixed. 4. Mistakes are part of the learning process. Your child should be able to experiment with Maths safe in the knowledge that they can learn from their mistakes. 5. Talk about your child s progress in a way which emphasises their own ability to influence a positive and successful future. This will encourage them to become more resilient and equipped to meet the challenges of the course. Page 20
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Understanding Volume Focus on After this lesson, you will be able to explain the meaning of volume determine the volume of a right rectangular prism, right triangular prism, and right cylinder show that
D A S O D A. Identifying and Classifying 3-D Objects. Examples
Identifying Classifying 3-D Objects Examples Have you noticed that many of the products we purchase come in packages or boxes? Take a look at the products below. A) Did you notice that all the sides or
Skills Practice Skills Practice for Lesson 2.1
Skills Practice Skills Practice for Lesson.1 Name Date Backyard Barbecue Introduction to Volume and Surface Area Vocabulary Write the term from the box that best completes each statement. surface area
Mensuration.
Mensuration www.q8maths.com 12 6 (a) 0.8 cm 1.5 cm 1.1 cm 0.8 cm The diagram shows two sweets. The cuboid has length 1.5 cm, width 1.1 cm and height 0.8 cm. The cylinder has height 0.8 cm and the same
Test Chapter 11. Matching
Test Chapter 11 Matching Match each vocabulary term with its definition. a. cube b. cylinder c. cone d. sphere e. prism f. pyramid g. hemisphere 1. a polyhedron formed by a polygonal base and triangular
Chapter 12 Review Period:
Chapter 12 Review Name: Period: 1. Find the number of vertices, faces, and edges for the figure. 9. A polyhedron has 6 faces and 7 vertices. How many edges does it have? Explain your answer. 10. Find the
Surface Area and Volume
Surface Area and Volume Day 1 - Surface Area of Prisms Surface Area = The total area of the surface of a three-dimensional object (Or think of it as the amount of paper you ll need to wrap the shape.)
"Full Coverage": Volumes & Surface Area
"Full Coverage": Volumes & Surface Area This worksheet is designed to cover one question of each type seen in past papers, for each GCSE Higher Tier topic. This worksheet was automatically generated by
#1 A: Surface Area of Triangular Prisms Calculate the surface area of the following triangular prisms. You must show ALL of your work.
#1 A: Surface Area of Triangular Prisms Calculate the surface area of the following triangular prisms. You must show ALL of your work. (a) (b) (c) (d) (e) #1 B: VOLUME of Triangular Prisms Calculate the
Unit 3: 2D and 3D Measurement & Optimizing Measurements ISU
MPM 1DE NAME: Unit 3: D and 3D Measurement & Optimizing Measurements ISU To complete this independent study, you are required to fill in the appropriate information where necessary, work through the given
UNCORRECTED PAGE PROOFS
TOPIC 5 Surface area and volume 5.1 Overview 5.1.1 Introduction If we re able to calculate the surface area of shapes, we re able to know the amount of fabric we need to make a tent or how much paint we
Oaktree School Curriculum Ladder. Maths: Geometry & Measure Step 2 (7-12)
Maths: Geometry & Measure Step 2 (7-12) I can look for hidden objects- sight, hearing or touch I can match objects by size I can fill a container I can take objects out of a container I can help build