Which ones are you using?

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Presentation transcript:

Which ones are you using? Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager Team Worker Which ones are you using? PLT Skills LESSON OBJECTIVES We are learning to: Enhance Mathematical basic skills knowledge. (Which PLT skills?) Accurately calculate the volume of prisms. (Grades C/B) Always aim high! Where are we in our journey? Real life cross/curricular links? AUTHOR

Which ones are you using? Creative Thinker LEARNING JOURNEY Effective Participator Independent Enquirer Reflective Learner Self Manager Team Worker PLT Skills Which ones are you using? 2

Which ones are you using? Creative Thinker Effective Participator STARTER Independent Enquirer Reflective Learner Self Manager Team Worker PLT Skills Which ones are you using? TASK Cylinder Cuboid Trapezoid Prism Triangular Prism Circle Triangle Rectangle Trapezium Write (a) Name: ………. and (b) Cross section: …………. for all of the shapes above. EXTENSION Area Circle = π x r2 Area Rectangle = base x height Area Trapezium = ½ x (a + b) x h Area Triangle = ½ x Base x height Write the formulae for the areas of the shapes above. 3

Which ones are you using? Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager Team Worker Which ones are you using? Volume of Prisms PLT Skills Volume Cylinder EXAMPLES Cross-sectional Area = π x r2 = π x 32 = 28.2743…..cm2 3cm DO NOT ROUND! 5cm USE CALCULATOR ‘ANS’! Volume = length x CSA = 5 x 28.2743…. = 141.3716….cm3 = 141.4cm3 4

Which ones are you using? Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager Team Worker Which ones are you using? Volume of Prisms PLT Skills Volume Cuboid EXAMPLES Cross-sectional Area = b x h = 7.2 x 5.3 = 38.16cm2 5.3cm 10.6cm DO NOT ROUND! 7.2cm Volume = length x CSA USE CALCULATOR ‘ANS’! = 10.6 x 38.16 = 404.496cm3 Sensible degree of accuracy = 404.5cm3 5

Which ones are you using? Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager Team Worker Which ones are you using? Volume of Prisms PLT Skills Volume Triangular Prism EXAMPLES Cross-sectional Area = ½ x b x h = ½ x 8.6 x 4.1 = 17.63cm2 4.1cm 4.9cm DO NOT ROUND! 6.2cm 8.6cm Volume = length x CSA USE CALCULATOR ‘ANS’! = 6.2 x 17.63 = 109.306cm3 Sensible degree of accuracy = 109.3cm3 6

Which ones are you using? Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager Team Worker Which ones are you using? Volume of Prisms PLT Skills Volume Trapezoid Prism EXAMPLES Cross-sectional Area = ½ x(a + b) x h = ½ x (6.3 + 1.7) x 4.9 1.7cm 8.2cm 6.3cm 4.9cm = 19.6cm2 DO NOT ROUND! Volume = length x CSA USE CALCULATOR ‘ANS’! = 8.2 x 19.6 = 160.72cm3 Sensible degree of accuracy = 160.7cm3 7

Which ones are you using? Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager Team Worker PLT Skills Which ones are you using? TASK (Grade C) 1) 2) EXTENSION (Grade B) 1) 2) 8

Which ones are you using? Creative Thinker Effective Participator DISCOVERY Independent Enquirer Reflective Learner Self Manager Team Worker PLT Skills Which ones are you using? LINK BACK TO OBJECTIVES Accurately calculate the volume of prisms. What grade are we working at? 9

Where are we in our journey? What grade we working at? What have you learnt? Draw your brain In your brain, write or draw everything you can remember about calculating the volume of prisms. 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 grade we working at?

Which ones are you using? Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager Team Worker Which ones are you using? PLT Skills How well do you understand the task? . I don’t understand I nearly understand I fully understand

Think about how you can improve your work. Plenary Activity WWW (What Went Well) EBI (Even Better If) On your post it notes… Think about how you can improve your work.

Which ones are you using? Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager Team Worker Which ones are you using? Volume of Prisms PLT Skills Volume Cylinder EXAMPLES Cross-sectional Area = π x r2 = π x 32 = 28.2743…..cm2 DO NOT ROUND! 3cm 5cm USE CALCULATOR ‘ANS’! Volume = length x CSA = 5 x 28.2743…. = 141.3716….cm3 = 141.4cm3 13

Which ones are you using? Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager Team Worker Which ones are you using? Volume of Prisms PLT Skills Volume Cuboid EXAMPLES Cross-sectional Area = b x h = 7.2 x 5.3 = 38.16cm2 5.3cm 10.6cm DO NOT ROUND! 7.2cm Volume = length x CSA USE CALCULATOR ‘ANS’! = 10.6 x 38.16 = 404.496cm3 Sensible degree of accuracy = 404.5cm3 14

Which ones are you using? Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager Team Worker Which ones are you using? Volume of Prisms PLT Skills Volume Triangular Prism EXAMPLES Cross-sectional Area = ½ x b x h = ½ x 8.6 x 4.1 = 17.63cm2 4.1cm 4.9cm DO NOT ROUND! 6.2cm 8.6cm Volume = length x CSA USE CALCULATOR ‘ANS’! = 6.2 x 17.63 = 109.306cm3 Sensible degree of accuracy = 109.3cm3 15

Which ones are you using? Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager Team Worker Which ones are you using? Volume of Prisms PLT Skills Volume Trapezoid Prism EXAMPLES Cross-sectional Area = ½ x(a + b) x h = ½ x (6.3 + 1.7) x 4.9 1.7cm 8.2cm 6.3cm 4.9cm = 19.6cm2 DO NOT ROUND! Volume = length x CSA USE CALCULATOR ‘ANS’! = 8.2 x 19.6 = 160.72cm3 Sensible degree of accuracy = 160.7cm3 16