Y8 (s5) programme overview (students)


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Y8 (s5) programme overview (students)

  1. 1. SIS Curriculum Framework 2012-13 (Scope and Sequence document) YEAR: 8 UNIT: Area and Volume (5 weeks) Date completed: May 2012 (VS) Updated: Themes Learning Outcomes Assessment Key words and subject skills Main Ideas Essential KU&S Strategies Essential Questions Possible further KU&S How students will demonstrate their KU&S Assessment for Learning: Keywords:In this unit, students Core:   Perimeter/Area/Cm2 1. Find  areas  and  perimeters  of  rectilinear  shapes   Peer assessment of Trapeziumwill investigate about 2. Calculate  the  area  of  a  trapezium  and  composite  shapes.   scavenger hunt Pi /Circumference /Diameter/ Radiusperimeter, area and 3. Find  the  circumference  of  a  circle  from  radius  and   Follow-me cards Scale factorvolume for different diameter.   Volume /Capacity /Litreskinds of shapes 4. Find  the  area  of  a  circle  and  compound  shape  from   Assessment of Learning: Cubic centimeters radius  and  diameter.   Stack 5. Recognise  standard  3-­‐D  shapes  and  represent  them   Questions on flipcharts Prism using  nets.   Extension sheet 6. Find  the  volume  of  a  prism.   Cross section Worksheets   Extension:   Skills Framework: 7 Use  the  inverse  to  find  the  radius  and  diameter  from  the   Prior Knowledge circumference.   Presenting conclusions and supporting with 8 Find  areas  of  enlarged  shapes  by  using  the  square  of  the   evidence scale  factor  and  reverse.   Students should be able to 9 Use  the  volume  to  find  missing  lengths  of  prisms   apply the skills they have Making a judgment 10 Find  surface  areas  of  prisms  and  pyramids   learnt in the Area/Perimeter unit from year 7 Justifying and articulating ideas Remaining open to feedback Using ICT to investigate Showing resilience and perseverance
  2. 2. Learning Objectives Themes Main Ideas Essential Questions1. 1. Find  areas  and  perimeters  of  rectilinear  shapes   Follow me cards(30 mins) Students re-cap area and perimeter of rectangles, squares and triangles.2. 1. Find  areas  and  perimeters  of  rectilinear  shapes   Starter problems(20 mins each) To solve problems involving area and perimeter
  3. 3. 3a. 2. Calculate  the  area  of  a  trapezium  and  composite   Trapezium(1 hour) shapes.   Students can estimate areas of irregular shapes3b. 2. Calculate  the  area  of  a  trapezium  and  composite   ICT tasks(1 hour) shapes.   Students are able to see how the formula is derived, and hence calculate the area of a trapezium. In groups, student think about how they can use what they already know to help them find the area. They are then prompted, if required, to consider methods to formalize the derivation.4 1. Find  areas  and  perimeters  of  rectilinear  shapes   Building spreadsheet using simple formulae(1 hour – each 5. Recognise  standard  3-­‐D  shapes  and  represent  them   using  nets.  task) 6. Find  the  volume  of  a  prism.     9 Use  the  volume  to  find  missing  lengths  of  prisms   10 Find  surface  areas  of  prisms  and  pyramids  5a. 3. Find  the  circumference  of  a  circle  from  radius  and   Measure the circumference and diameter of various circular objects(1 hour) diameter.   Calculate the ratio of circumference to diameter Discover the formula for the circumference of a circle Discovery by measuring & pattern spotting in order to determine relationships.5b. 3. Find  the  circumference  of  a  circle  from  radius  and   Measure the radius and diameter of various circular objects using(1 hour) diameter.   appropriate units of measurement   4. Find  the  area  of  a  circle  and  compound  shape  from   radius  and  diameter.   Discover the formula for the area of a circle Estimate the area of circles using alternative methods Discovery by measuring & pattern spotting in order to determine relationships.
  4. 4. 5c. 3. Find  the  circumference  of  a  circle  from  radius  and   Students will discover a relationship between the diameter of a circle and it’s(1 hour) diameter.   circumference   4. Find  the  area  of  a  circle  and  compound  shape  from   Identify various units of measure based on their appropriateness for each shape and size. radius  and  diameter.   Draw conclusions about the relationship of side/perimeter in squares and diameter/circumference in circles based on collected data. Through physical representations, develop the idea of a constant that relates a circle’s diameter and circumference, namely pi.6. (1 hour) 3. Find  the  circumference  of  a  circle  from  radius  and   Students demonstrate that they can calculate area and circumference of diameter.   circles, given a radius or diameter.   4. Find  the  area  of  a  circle  and  compound  shape  from   radius  and  diameter.   Game format. Students are given ‘answers’ and asked to fit them to the correct circle7. (1 hour) Extension   Students solve complex problems involving the area and perimeter of circles 7. Use  the  inverse  to  find  the  radius  and  diameter  from   the  circumference.  8a.   Identify the names of three dimensional geometric shapes (cube, rectangular solid,(1 hour) 5. Recognise  standard  3-­‐D  shapes  and  represent  them   square pyramid, prism,sphere, cone and cylinder). using  nets.  Pathway C Identify the number of faces, edges and vertices. Find 3D objects in real life and describe them. Students engage in a team hunt to identify common 3D objects and explain properties.8b. 5. Recognise  standard  3-­‐D  shapes  and  represent  them   Students understand the properties of 3D shapes(1 hour) using  nets.  Pathway C Riddle describing a shape8c. 5. Recognise  standard  3-­‐D  shapes  and  represent  them   Students understand that 3D shapes can be constructed from 2D nets(1 hour) using  nets.   Exploration lesson where students are provided with a variety of nets and just ‘left to it’ Extension  
  5. 5. 10. Find  surface  areas  of  prisms  and  pyramids  9. (1 hour) 6. Find  the  volume  of  a  prism.   Roughly estimate the volume/capacity of everyday objects Understand how to calculate the volume of a cuboid Understand ho doubling length will increase the volume by a factor of 8. Understand and apply the formula for the volume of a cuboid Use origami to create a three-dimensional prism from a two-dimensional sheet of paper – find the volume.10. (1 hour) Extension   Students will understand and use the relationship between length, area and 8. Find  areas  of  enlarged  shapes  by  using  the  square  of   volume of similar figures. the  scale  factor  and  reverse.   Using a rectangle. Students will individually investigate the effect of increasing length by a scale factor on area and volume.11a. Extension:   Problems solving task 9. Use  the  volume  to  find  missing  lengths  of  prisms   10. Find  surface  areas  of  prisms  and  pyramids  11b. Extension:   Problem solving tasks for more able students 7. Use  the  inverse  to  find  the  radius  and  diameter  from   the  circumference.     9. Use  the  volume  to  find  missing  lengths  of  prisms   10. Find  surface  areas  of  prisms  and  pyramids