We are learning to: - Enhance our Mathematical learning skills. (Which Enterprise skills?) - Accurately calculate the volume and surface area of cuboids.

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Creative Entrepreneur PLENARY ACTIVITY (BINGO)

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Presentation transcript:

We are learning to: - Enhance our Mathematical learning skills. (Which Enterprise skills?) - Accurately calculate the volume and surface area of cuboids. (Level 6) Always aim high! LESSON OBJECTIVES Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? Where are we in our journey? Real life cross/curricular links? AUTHOR

LEARNING JOURNEY Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using?

BRAIN IN GEAR Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? Work out the following Mathematical anagrams: TASK EXTENSION Develop your own Mathematical anagrams as above as a creative entrepreneur. MIRPS HEPTD SEARCUF EXAMPLE DITDIONA can be rearranged to make ADDITION Prism Depth Surface

STARTER EXTENSION TASK Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? 1) Name the following shapes: 1) Work out the area of the shape below: (a) 3cm 4cm 7cm (b) Cuboid Cylinder Sketch the net of a cube: 2) 3) Faces = Edges = Vertices = ) Find the area = 3m 21m 11m 9m A B Area of rectangle A = length x width Area of rectangle A = 12 x 3 12m Area of rectangle A = 36m 2 Area of rectangle B = length x width Area of rectangle B = 11 x 9 Area of rectangle B = 99m 2 Area of compound shape = Area of compound shape = 135m 2

VOLUME OF CUBOIDS INTRODUCTION Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? Cross-Section Length Volume of cuboid =Area of rectangleArea of cross-sectionx Length VOLUME IS THE SPACE INSIDE A 3D SHAPE

VOLUME OF CUBOIDS INTRODUCTION Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? Cross-Section Length Volume of cuboid =Area of rectanglex Length VOLUME IS THE SPACE INSIDE A 3D SHAPE Length Width Height

VOLUME OF CUBOIDS Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? EXAMPLES Find the volume of the cuboids below in cm : 3 1)2) VOLUME OF A CUBOID = Length x Width x Height Volume = l x w x h Volume = 12cmx 6cm x 9cm Volume = 648cm 3 Volume = l x w x h Volume = 5.2cm x x Volume = 140.6cm 3 (1d.p.)

VOLUME OF CUBOIDS TASK 1 (LEVEL 6) Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? Work out the volumes of the following cuboids: 1)2) 3) 4)5) 6) EXTENSION (LEVEL 6) Find cuboids around the classroom and work out their volumes. 5cm 3cm 2cm20cm 10cm 4cm 60cm 30cm 5cm 100cm 60cm 40cm 0.7m 1.2m 0.55m 0.17m 0.62m 1.1m V = 30cm 3 V = 800cm 3 V = 9000cm 3 V = cm 3 V = 0.462m 3 V = 0.12m 3

VOLUME OF CUBOIDS EXTENSION 2 (LEVEL 6) Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? 1) Work out the values of x for the following cuboids below: (a)(b)

SURFACE AREA OF CUBOIDS INTRODUCTION Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? BOTTOM Length Width Height BOTTOM Length Width SIDE Length Height SIDE Length Height TOP Length Width FRONT BACK Height Width FRONT Height Width BACK Surface Area → Area of every face added together Area = h x w Area = h x w Area = l x h Area = l x h Area = l x w Area = l x w SURFACE AREA = l x w + + h x w + + l x h + SURFACE AREA = 2lw + 2hw + 2lh

Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? SURFACE AREA OF CUBOIDS Find the surface area of the cuboids below: EXAMPLES 1)2) Surface Area = 2lw + 2hw + 2lh Surface Area = 2x3x2+2x4x2 + 2x3x l w h Surface Area = l w h 4 Surface Area = 2lw + 2hw + 2lh Surface Area = 2x8x3+2x5x3 + 2x8x Surface Area =

Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? TASK 2 (LEVEL 6) SURFACE AREA OF CUBOIDS Work out the surface areas of the following cuboids: 1)2) 3) 4)5) 6) EXTENSION (LEVEL 6) Find cuboids around the classroom and work out their volumes. 5cm 3cm 2cm20cm 10cm 4cm 60cm 30cm 5cm 100cm 60cm 40cm 0.7m 1.2m 0.55m 0.17m 0.62m 1.1m SA = 62cm 2 SA = 640cm 2 SA = 4500cm 2 SA = 24800cm 2 SA = 3.77m 2 SA = 1.95m 2

Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? EXTENSION 2 (LEVEL 6) SURFACE AREA OF CUBOIDS 1)2) Work out the surface areas of the following cuboids: 3cm 2cm 150cm 1.2m 1m 3m Surface Area = 2lw + 2hw + 2lh Surface Area = 2x100x2+2x3x2 + 2x x l w h Surface Area = Surface Area = cm 2 Surface Area = 2lw + 2hw + 2lh Surface Area = 2x 3x1.2+2x1.5x x3x Surface Area = Surface Area = m 2 l w h

Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? PLENARY ACTIVITY – SPOT THE MISTAKES SURFACE AREA & VOLUME Work out the volume and surface area of the cuboid below: 2m 300cm 4m Volume = l x w x h Volume = 4mx 3m x 2m Volume = 24cm 2 Surface Area = 2x 4x3 + 2x2x3 + 2x4x m 3 Surface Area = 2lw + 2hw + 2lh

DISCOVERY LINK BACK TO OBJECTIVES - Accurately calculate the volume and surface area of cuboids. What level are we working at? Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using?

Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? SURFACE AREA & VOLUME PLENARY ACTIVITY – ASSESSING UNDERSTANDING Work out the volume and surface area from this net of a cuboid: 7cm 10cm 4cm Volume = l x w x h l w h Volume = 10cmx 4cm x 7cm Volume = 280cm 3 Surface Area = 2lw + 2hw + 2lh Surface Area = 2x10x4+2x7x4 + 2x x Surface Area = Surface Area = 7 276cm 2

What have you learnt? In your brain, write or draw everything you can remember about finding the volume and surface area of cuboids. It can be a skill or a reflection, or something else that might be prominent in your brain. Draw your brain What level are we working at? Where are we in our journey? Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? SELF ASSESSMENT

. How well do you understand the task? I don’t understand I nearly understand I fully understand Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? SELF ASSESSMENT Plenary Activity

SELF ASSESSMENT Plenary Activity On your post it notes… Think about how you can improve your work. On your post it notes… Think about how you can improve your work. WWW (What Went Well) EBI (Even Better If) Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using?