Measures 2 Perimeter, area & volume Objectives Find perimeters of regular and compound shapes Find areas of regular and compound shapes Find volumes of cuboids For this unit you will need: dice, Perimeter and area at http://www.bgfl.org/bgfl/custom/resources_ftp/client_ftp/ks2/maths/peri meter_and_area/index.html, 3D boxes at http://www.interactivestuff.org/sums4fun/3dboxes.html Watch out for pupils who: confuse area and perimeter; do not use the properties of rectangles to work out the lengths of missing sides in rectangles or compound shapes. HSNP © Hamilton 2013 Simmering Term 2 Measures 2 Session 1 Objective: Find perimeters of regular and compound shapes Teacher input with whole class Sketch a rectangle on the board and label two sides 6cm and 8cm. Remind pupils how they can find the perimeter by doubling each side and adding, or adding then doubling. Pupils find the length in cm. Paired pupil work Pupils roll a dice twice to generate two lengths of a rectangle. They roll again if they roll 0. They sketch it and find the perimeter. How many can they find in two minutes? Teacher input with whole class Sketch a regular hexagon and label one side 12 cm. How can we find the perimeter of this shape? What if it were an irregular hexagon? Paired pupil work Pupils roll a dice twice to generate the number and length of sides of a regular shape. They roll again if they roll 0, 1 or 2. They sketch the shape and find its perimeter. How many can they find in two minutes? Teacher input with whole class Use Perimeter and area at http://www.bgfl.org/bgfl/custom/resources_ftp/client_ftp/ks2/maths /perimeter_and_area/index.html, click on perimeter, rectangle, next, level 3, next and skip. Pupils discuss in pairs how they can find the perimeter of the shape on the screen. Take feedback, and enter the most common answer, then click ‘check. Repeat. HSNP © Hamilton 2013 Simmering Term 2 Measures 2 Session 2 Objective: Find areas of regular and compound shapes Teacher input with whole class Sketch a rectangle on the board and label two sides 6cm and 8cm. Remind pupils how they can find the area by multiplying the two sides together and that the area will be in square cm. Draw a diagonal line between two opposite vertices and shade one of the right-angled triangles. What is the area of this triangle? Remind pupils that this method of finding the area only works for right-angled triangles. Paired pupil work Pupils roll a dice twice to generate two lengths of a rectangle. They roll again if they roll 0. They sketch it and find the area. They then divide it into two right-angled triangles and write the area of one of them. Repeat at least five times. How many can they find in two minutes? Teacher input with whole class Use Perimeter and area at http://www.bgfl.org/bgfl/custom/resources_ftp/client_ftp/ks2/maths /perimeter_and_area/index.html, click on area, the rectangle, next, level 2 and then on the shape and discuss the animation. Click next. Pupils work in pairs to find the area of the shape on the screen. Take feedback, and enter the most common answer, then click ‘check. Repeat. Click ‘level menu’ and repeat with level 3. HSNP © Hamilton 2013 Simmering Term 2 Measures 2 Session 3 Objective: Find volumes of cuboids Teacher input with whole class Use 3D boxes at http://www.interactivestuff.org/sums4fun/3dboxes.htmland ask pupils to discuss in pairs how many cubes are in the shape. Repeat several times. Ask pupils to explain to a partner how they can find the volume of a cuboid. Take feedback. Write the following units on the board and ask pupils which can be used to measure volume: cm, m2, km3, mm2, cm3, m, km2, cm2 Discuss what the other units can be used for (i.e. length, height, area). Paired pupil work Sketch four cuboids and label three different dimensions. Pupils find the volume of each and check with their partner. They then work in pairs to investigate which cuboids could have a volume of 48cm3. Teacher input with whole class Take feedback, and list solutions together as a class. HSNP © Hamilton 2013 Simmering Term 2