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Mathematical Learning Journey with Enterprise Skills

Discover how to calculate volume and surface area of cuboids and enhance your mathematical skills through real-life cross-curricular links. Utilize enterprise skills to become a creative and responsible learner in this engaging lesson.

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Mathematical Learning Journey with Enterprise Skills

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

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

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

  4. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen STARTER Enterprise Skills Which ones are you using? TASK EXTENSION 1) Sketch the following shapes: 1) Work out the area of the shape below: (a) (b) Cone Tetrahedron 3m 2) Sketch the net of a cube: A 12m 21m 9m B 11m Area of rectangle A = length x width 3cm 4) Area of rectangle A = 12 x 3 3) 2 2 2 Area of compound shape = 135m Area of rectangle B = 99m Area of rectangle A = 36m 4cm Area of rectangle B = length x width Area of rectangle B = 11 x 9 7cm Find the area Faces = 5 Area of compound shape = 36 + 99 Edges = 9 = Vertices = 6

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

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

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

  8. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Enterprise Skills VOLUME OF CUBOIDS Which ones are you using? TASK 1 (LEVEL 6) Work out the volumes of the following cuboids: 3) 1) 2) 3cm 5cm 30cm 4cm 10cm 60cm 2cm 20cm 5cm 6) 4) 5) 1.1m 0.62m 1.2m 60cm 0.17m 40cm 100cm 0.55m 0.7m V = 30cm 3 3 3 3 3 3 EXTENSION (LEVEL 6) V = 800cm V = 9000cm V = 0.12m V = 240000cm V = 0.462m Find cuboids around the classroom and work out their volumes.

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

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

  11. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Enterprise Skills Which ones are you using? SURFACE AREA OF CUBOIDS EXAMPLES Find the surface area of the cuboids below: w 1) 2) l h h l w Surface Area = 2lw + 2hw + 2lh Surface Area = 2lw + 2hw + 2lh Surface Area = Surface Area = 2 x 3 x 2 + 2 x 4 x 2 2 x 3 x 4 2 x 8 x 3 + 2 x 5 x 3 2 x 8 x 5 + + Surface Area = Surface Area = 16 24 30 80 12 48 + + + + Surface Area = Surface Area =

  12. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Enterprise Skills Which ones are you using? SURFACE AREA OF CUBOIDS TASK 2 (LEVEL 6) Work out the surface areas of the following cuboids: 3) 1) 2) 3cm 5cm 30cm 4cm 10cm 60cm 2cm 20cm 5cm 6) 4) 5) 1.1m 0.62m 1.2m 60cm 0.17m 40cm 100cm 0.55m 0.7m 2 SA = 62cm 2 2 2 2 2 EXTENSION (LEVEL 6) SA = 640cm SA = 4500cm SA = 1.95m SA = 24800cm SA = 3.77m Find cuboids around the classroom and work out their volumes.

  13. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Enterprise Skills Which ones are you using? SURFACE AREA OF CUBOIDS EXTENSION 2 (LEVEL 6) Work out the surface areas of the following cuboids: 1) 2) h h 150cm 3cm w w 1.2m 2cm l 3m 1m l Surface Area = 2lw + 2hw + 2lh Surface Area = 2 x 100 x 2 + 2 x 3 x 2 2 x 100 x 3 + Surface Area = 12 600 400 + + Surface Area = 2lw + 2hw + 2lh Surface Area = Surface Area = 2 x 3 x 1.2 + 2 x 1.5 x 1.2 2 x 3 x 1.5 + Surface Area = 3.6 9 2 2 7.2 + + 19.8m 1012cm Surface Area =

  14. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Enterprise Skills Which ones are you using? SURFACE AREA & VOLUME PLENARY ACTIVITY – SPOT THE MISTAKES Work out the volume and surface area of the cuboid below: 2m 300cm 4m Surface Area = 2lw + 2hw + 2lh Volume = l x w x h Surface Area = 2 x 4 x 3 2 x 2 x 3 2 x 4 x 2 + + Volume = 3m 2m 4m x x Surface Area = + 9 + 7 8 Volume = Surface Area = 3 52m 2 24cm

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

  16. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen 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: Volume = l x w x h h Volume = 4cm 7cm 10cm x x 7cm Volume = w 4cm Surface Area = 2lw + 2hw + 2lh Surface Area = 2 x 10 x 4 + 2 x 7 x 4 2 x 10 x 7 + Surface Area = 56 140 80 + + Surface Area = 2 3 276cm 280cm l 10cm

  17. What level are we working at? Where are we in our journey? What have you learnt? Draw your brain 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.

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

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

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