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Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker 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 find edges, vertices, faces, draw nets and represent solids on isometric paper. (Levels 5-6) Where are we in our journey? AUTHOR www.mistrymaths.co.uk Real life cross/curricular links? Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Enterprise Skills LEARNING JOURNEY Which ones are you using? Positive Thinker Creative Entrepreneur Enterprise Skills Independent Learner Reflective Learner BRAIN IN GEAR Responsible Citizen Team Worker Which ones are you using? EXAMPLE DITDIONA can be rearranged to make ADDITION TASK Work out the following Mathematical anagrams: RIMPS Prism DOSIL Solid GEESD Edges EXTENSION Develop your own Mathematical anagrams as above as a creative entrepreneur. Positive Thinker Creative Entrepreneur Enterprise Skills Independent Learner STARTER TASK 7cm Responsible Citizen Team Worker Which ones are you using? EXTENSION 1)Work out the area for the following: (a) Reflective Learner 8cm 1)Work out the area of the shape below: 6m 5cm A 10cm 15m (b) 10cm B 6cm 9cm (c) 4cm 7cm 6cm 5m 20m Area of rectangle A = length x width Area of rectangle A = 10 x 6 Area of rectangle A = 60m2 Area of rectangle B = length x width Area of rectangle B = 20 x 5 Area of rectangle B = 100m2 Area of compound shape = 60 + 100 Area of compound shape = 160m2 Positive Thinker Creative Entrepreneur Enterprise Skills Independent Learner Reflective Learner INTRODUCTION Responsible Citizen Team Worker Which ones are you using? TASK Match the solids with their respective names: CONE CYLINDER HEMISPHERE TRIANGULAR SQUARE BASED PYRAMID EXTENSION PRISM CUBOID TETRAHEDRON CUBE SPHERE Use your enterprise skills to find connections on where you might see these solids in the real world. Positive Thinker Creative Entrepreneur Enterprise Skills Independent Learner Reflective Learner INTRODUCTION Responsible Citizen Team Worker Which ones are you using? EXTENSION Use your enterprise skills to find connections on where you might see these solids in the real world. CUBE CUBOID TETRAHEDRON CONE SQUARE BASED PYRAMID HEMISPHERE SPHERE CYLINDER Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Enterprise Skills FACES, EDGES AND VERITCES Which ones are you using? EXAMPLE Click on starter and work through the presentation on faces, edges and vertices. http://www.ngfl-cymru.org.uk/vtc/ngfl/maths/cynnal/polyhedra/polyhydra.html LINES CORNERS Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Enterprise Skills FACES, EDGES AND VERITCES Which ones are you using? TASK 1 (LEVEL 5) Write down the number of faces, edges and vertices for the following solids: (a) (c) (b) (e) (d) Faces = 6 Faces = 6 Faces = 4 Faces = 5 Faces = 7 Edges = 12 Edges = 12 Edges = 6 Edges = 8 Edges = 12 Vertices = 8 Vertices = 8 Vertices = 4 Vertices = 5 Vertices = 7 EXTENSION (LEVEL 6) Use your enterprise skills to find a formula that connects the number of faces, vertices and edges. Euler’s Formula Faces + Vertices – Edges = 2 Positive Thinker Creative Entrepreneur Enterprise Skills Independent Learner Reflective Learner Responsible Citizen Team Worker NETS OF SOLIDS Which ones are you using? EXAMPLE Click on main session and section 3. Make the 3D shape first and then reveal the animation which unfolds the net. http://www.ngfl-cymru.org.uk/vtc/ngfl/maths/cynnal/polyhedra/polyhydra.html Start with cube, then cuboid etc Positive Thinker Creative Entrepreneur Enterprise Skills Independent Learner Reflective Learner Responsible Citizen Team Worker NETS OF SOLIDS Which ones are you using? TASK 2 (LEVEL 5) Match the solids with their respective nets: Positive Thinker Independent Learner Creative Entrepreneur Enterprise Skills Reflective Learner Responsible Citizen Team Worker NETS OF SOLIDS Which ones are you using? TASK 3 (LEVEL 6) 1) Draw accurate nets for each of the following cuboids below: 2cm 4cm (b) (a) 2cm 3cm 5cm 2cm Positive Thinker Creative Entrepreneur Enterprise Skills Independent Learner Reflective Learner Responsible Citizen Team Worker NETS OF SOLIDS Which ones are you using? EXTENSION (LEVEL 6) 1) There are eleven different ways of drawing the nets of cubes. See if you can find them all. Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Enterprise Skills ISOMETRIC DRAWINGS Which ones are you using? EXAMPLE Draw the following shape accurately on an isometric grid. 5cm 7cm 3cm 7cm Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Enterprise Skills ISOMETRIC DRAWINGS Which ones are you using? TASK 4 (LEVEL 6) 1) Draw the following shapes accurately on isometric paper. 2cm 6cm 5cm (a) (b) 2cm (c) 5cm 4cm 2cm 5cm 1cm Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Enterprise Skills ISOMETRIC DRAWINGS Which ones are you using? EXTENSION (LEVEL 6) 1) On an isometric grid draw all the possible different solids that can be made from four cubes. There are eight different ways of drawing tetracubes Positive Thinker Creative Entrepreneur Enterprise Skills Independent Learner DISCOVERY Reflective Learner Responsible Citizen Team Worker Which ones are you using? LINK BACK TO OBJECTIVES - Accurately find edges, vertices, faces, draw nets and represent solids on isometric paper. What level are we working at? Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Which ones are you using? Enterprise Skills 3D SOLIDS PLENARY ACTIVITY – TRUE OR FALSE STAND UP → TRUE SIT DOWN → FALSE Faces = 8 Edges = 18 Vertices = 12 Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Which ones are you using? Enterprise Skills 3D SOLIDS PLENARY ACTIVITY – TRUE OR FALSE STAND UP → TRUE SIT DOWN → FALSE Faces = 8 Edges = 16 Vertices =12 Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Which ones are you using? Enterprise Skills 3D SOLIDS PLENARY ACTIVITY – TRUE OR FALSE STAND UP → TRUE SIT DOWN → FALSE This is the net of the solid Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Which ones are you using? Enterprise Skills 3D SOLIDS PLENARY ACTIVITY – TRUE OR FALSE STAND UP → TRUE SIT DOWN → FALSE This is the net of the solid Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Which ones are you using? Enterprise Skills 3D SOLIDS PLENARY ACTIVITY – TRUE OR FALSE STAND UP → TRUE SIT DOWN → FALSE This is the isometric drawing 6cm 4cm 3cm Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Which ones are you using? Enterprise Skills 3D SOLIDS PLENARY ACTIVITY – TRUE OR FALSE STAND UP → TRUE SIT DOWN → FALSE This is the isometric drawing 6cm 3cm 7cm What have you learnt? Draw your brain In your brain, write or draw everything you can remember about finding edges, vertices, faces, drawing nets and representing solids on isometric paper. It can be a skill or a reflection, or something else that might be prominent in your brain. Where are we in our journey? What level are we working at? Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Enterprise Skills SELF ASSESSMENT Which ones are you using? Plenary Activity How well do you understand the task? . I don’t understand I nearly understand www.mistrymaths.co.uk I fully understand Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Enterprise Skills SELF ASSESSMENT 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