Year 11 Maths 12th and 13th June 2019

Groupings 1 2 3 4 6 5

STARTER How many 1cm3 cubes will fit into 1m3?

Similar Shapes From CCEA Specification – M7

Similar Shapes From CCEA Specification – M8

M6 - “Understand the term Congruent” Two shapes that are the same shape and size are “congruent” Shapes A, B, E and G are congruent

What are Similar Shapes? When a shape is enlarged, the image is similar to the original shape. It is the same shape but a different size. These two shapes are similar as they are both rectangles but one is an enlargement of the other

Similar Triangles Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.

Similar Triangles State whether the two triangles are similar. Give a reason to support your answer. 180 – (85 + 40) = 55 180 – (85 + 55) = 40 All angles are equal – the two triangles are similar

Calculating Lengths on similar shapes Recall, from yesterday:

Calculating Lengths on similar shapes Recall, from yesterday: Scale factor required first. Locate corresponding sides that both have numerical values. Big ÷ Small = Scale Factor Multiply each side on smaller shape by the scale factor.

Calculating Lengths on similar shapes Spend 2 minutes completing the first exercise (contained within dashed box)

Using Scale factor to calculate areas When comparing lengths, the scale factor for these two shapes is…

Using Scale factor to calculate areas When comparing lengths, the scale factor for these two shapes is… 3

Using Scale factor to calculate areas When comparing lengths, the scale factor for these two shapes is… 3 Is the second shape 3 times larger?

Using Scale factor to calculate areas When comparing lengths, the scale factor for these two shapes is… 3 Is the second shape 3 times larger? Not in terms of area.

Using Scale factor to calculate areas When comparing lengths, the scale factor for these two shapes is… 3 Is the second shape 3 times larger? Not in terms of area.

Using Scale factor to calculate areas When comparing lengths, the scale factor for these two shapes is… 3 Is the second shape 3 times larger? Not in terms of area.

Scale factor for Area If we know the scale factor for lengths, then we can calculate the scale factor for area… Scale factor (Length) Scale Factor (Area) x2 x4 x3 x9 x16 x5 x25 y y2

Calculating area of similar shapes

Calculating lengths on similar shapes

Calculating lengths on similar shapes

Scale factor for Area If we know the scale factor for lengths, then we can calculate the scale factor for area… Begin the second exercise Scale factor (Length) Scale Factor (Area) x2 x4 x3 x9 x16 x5 x25 y y2

Scale factor for Area If we know the scale factor for lengths, then we can calculate the scale factor for area… Scale factor (Length) Scale Factor (Area) Scale Factor Volume (M8) x2 x4 x8 x3 x9 x27 x16 x64 x5 x25 x125 y y2 y3

Calculating lengths on similar shapes M7 PPQ

Calculating volume of similar objects M8 PPQ