Year 8 KLC 1 Substitution The costC of

Year 8 KLC 1 Substitution The cost(C) of a taxi is worked out by the miles (M) travelled using the following formula: Cost = 2. 2 x Miles + 1. 80 Work out the cost of a 5 mile journey. Means multiply Cost = 2. 2(5) + 1. 80 Cost = 11 + 1. 80 = £ 12. 80 Knowledge Organiser Year 8 Knowledge Learning Check 1 Half Term 1 Expanding Single Bracket Example : Expand 4(5 x + 3) Method 1 5 x 4 20 x +3 +12 Method 2 Everything inside the bracket must by multiplied by 4 4(5 x + 3) 20 x + 12 Example : Expand simplify 4(5 x + 3) + 2(3 x -2) Multiply both separately then collect terms Factorise Single Bracket 4(5 x + 3) + 2(3 x-2) 20 x + 12 + 6 x – 4 = 26 x + 8 Expanding Double Bracket Expand (x+3)(x+8) Method 1 Box x +3 x 2 +3 x x +8 +8 x +24 x 2 + 3 x + 8 x + 24 = x 2 + 11 x + 24 (x+8) needs to be multiplied by x and 3 Method 2 x(x + 8) +3(x+8) x 2 + 8 x + 3 x + 24 = x 2 + 11 x + 24 Always collect your similar terms

Year 8 KLC 2 Knowledge Organiser Year 8 Knowledge Learning Check 2 Half Term 1 Solving Linear Equations Change the Subject Sequences Nth Term

Year 8 KLC 3 Angle Facts Knowledge Organiser Year 8 Knowledge Learning Check 3 Half Term 1 Bearings are calculated by the angle as we turn clockwise from North. Find the bearing of A from B We can see that to get to A from B we need to go 295 degrees clockwise. Find the bearing of B from A We need to find this angle Hence the bearing of B from A must be 115 Because it is from B we start at the North line at B. Co-interior angles add to 180

Year 8 KLC 3 This is called (1) Corresponding angles are EQUAL the transversal (2) Alternate Angles are EQUAL (3) Co interior angles add to 180 Knowledge Organiser Year 8 Knowledge Learning Check 3 Half Term 1 Interior and Exterior Angles of Regular Shapes Interior + Exterior = 180 Exterior Angle = 360 ÷ n So for the regular pentagon: Exterior : 360 ÷ 5 = 72 Interior + Exterior =180 so interior = 108 Notice : All the acute angles are equal and all the obtuse angles are equal. Sum of interior = 5 x 108 = 540