Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager Team Worker Which ones are you using? PLT Skills LESSON OBJECTIVES Always aim high! We are learning to: - Be reflective learners on previous learning outcomes. (Which PLT skills?) - Accurately calculate the volume of cuboids. (Grades E-D) Where are we in our journey? AUTHOR Real life cross/curricular links? Creative Thinker PLT Skills Effective Participator Independent Enquirer STARTER Reflective Learner Self Manager Team Worker Which ones are you using? EXTENSION TASK Find the number of faces, vertices and edges for the shapes below: 6 8 12 5 5 8 4 4 6 Find the number of faces, vertices and edges for the shapes below: 8 6 12 5 6 9 8 12 18 7 7 12 Creative Thinker Effective Participator Independent Enquirer Reflective Learner PLT Skills VOLUME OF CUBOIDS INTRODUCTION VOLUME CUBIC CENTIMETRE Self Manager Team Worker Which ones are you using? AMOUNT OF SPACE INSIDE A SOLID (3D SHAPE) CUBE WHICH MEASURES 1CM IN ALL DIRECTIONS. 1cm 1cm 1cm Creative Thinker PLT Skills Effective Participator Independent Enquirer Reflective Learner VOLUME OF CUBOIDS Self Manager Team Worker Which ones are you using? INTRODUCTION Each solid below is made up of centimetre cubes. Work out their respective volumes. VOLUME = (Because it is made up of 12 cubes) VOLUME = (Because it is made up of 20 cubes) Creative Thinker PLT Skills Effective Participator Independent Enquirer Reflective Learner VOLUME OF CUBOIDS Self Manager Team Worker Which ones are you using? VOLUME OF A CUBOID = Length x Width x Height EXAMPLES Find the volume of the cuboids below in cm3 : 1) 2) 3) Volume = l x w x h Volume = l x w x h Volume = l x w x h Volume = 12cmx 6cm x 9cm Volume = 5.2cmx 5.2cmx5.2cm Volume = 7.8mx3.5mx 4.7m Volume = 648cm 3 Volume = 140.6cm3 (1d.p.) Volume = 128.31m 3 Volume = 128310000cm 3 Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager Team Worker Which ones are you using? PLT Skills VOLUME OF CUBOIDS TASK 1 (GRADE E) Calculate the volume for each of the cuboids below: Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager Team Worker Which ones are you using? PLT Skills VOLUME OF CUBOIDS TASK 2 (GRADE D) Work out the missing lengths for each of the cuboids below: 18cm 8cm 12cm 4cm 11cm 8cm Creative Thinker PLT Skills Effective Participator Independent Enquirer Reflective Learner VOLUME OF CUBOIDS Self Manager Team Worker Which ones are you using? EXTENSION (GRADE D) 1) A tank contains 32000 litres of water. The base of the tank measures 6.5m by 3.1m. Find the depth of water in the tank. Give your answer to one decimal place. 1.6m 2) A room contains 168m 3 of air. The height of the room is 3.5m. What is the area of the floor? 3) What are the dimensions of cubes with these volumes? a) 27cm 3 b) 125m 3 c) 8mm 3 d) 1.728m 3 3cm 5m 2mm 1.2m Creative Thinker PLT Skills Effective Participator Independent Enquirer Reflective Learner VOLUME OF CUBOIDS Self Manager Team Worker Which ones are you using? MINI-PLENARY Work out the volume for each of the items shown: Volume = 3 cm x 13 cm x 21 cm = 819 cm3 6 cm 6 cm 6 cm Volume = 63 = 216 cm3 3 cm 21 cm 13 cm 1.1 m Volume = 1.3 m x 1.8 m x 1.1m = 2.574m3 1.3 m 1.8 m Creative Thinker PLT Skills Effective Participator Independent Enquirer Reflective Learner DISCOVERY Self Manager Team Worker Which ones are you using? LINK BACK TO OBJECTIVES - Accurately calculate the volume of cuboids. What grade are we working at? PLENARY ACTIVITY Work out the volume of the compound shape below: Not to scale Volume = 5 x 2 x 8= 80 cm3 8 cm 5 cm 8 cm 80 cm3 512 cm3 288 cm3 8 cm Volume = 83 = 512 cm3 3 cm 12 cm Volume = 12 x 3 x 8= 288 cm3 Volume = 512 + 288 + 80 = 880 cm3 2 cm What have you learnt? Draw your brain In your brain, write or draw everything you can remember about calculating the volume of cuboids. 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 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