9-1 Lesson applying trigonometry to right triangles. Starter reviews trig functions. Questions using trig in rectangles, isosceles triangles, angles of elevation & depression, problem solving. Worked examples, questions - full answers provided.

9-1 GCSE lesson covering square, cube, triangular numbers, Fibonacci sequence and connections between them. Includes 10 investigative questions on square and cube numbers [answers included].

9-1 GCSE lesson. Explains perpendicular thorough diagrams and then through algebra. Includes questions examining the gradient of perpendicular lines and questions finding perpendicular lines through a specific point.

Lesson looks at using surds with within questions such as finding areas and perimeters of shapes. Finding missing sides in right-angled triangles. Finding surface areas and volumes. Worked examples. All answers included.

Lesson looking at finding missing angles on a straight line. Starter looks at sums to 180, and simple equations to 180. Explanation of why 360 degrees in a circle and thus why 180 on a straight line. Examples finding missing angles with numbers and then with algebra. All examples and question slides include fully-worked answers

Lesson exploring the use of letters with function machines to describe a relationship. Reviews two-step function machines to find outputs and then introduces the ideas of using letters as the inputs. Looks at what the expression looks like if the output is a letter or if both are letters. Worked examples, questions and all answers included.

Lesson looks at angle properties of isosceles triangles and asks missing angle questions. Moves to look at rhombus, parallelogram, isosceles trapezium and kite and asks missing angle questions. Then finding missing angles in a more complicated diagram. All answers included.

Explanation of a cone as a type of pyramid and derives formulae from those of pyramids. Worked examples and questions. Formulae for spheres, worked examples and questions. Lesson also extends to look at hemispheres and compound shapes and use of π in answers. All answers included.

Explores the properties of Quadratic Curves using a graphical approach. Looks at roots, turning points, intercept and the line of symmetry around the turning point. Starter looks at identifying quadratics, Multiple Choice questions on the properties. Moves on to questions asking pupils to plot a curve and then find the properties. Worked examples and all answers included.

Starter asks pupils to describe number patterns from pictures. Then examining the properties of Linear Sequences from term-to-term rules, pictures, straight line graphs. Examples of how the general rule is used: finding terms, finding positions of terms, seeing if a number belongs in a sequence, finding common terms in two sequences. Worked examples and question slides on each topic. All answers included.

Lesson looks at the differences between arithmetic and geometric sequences through the them to term rule. Explains using a term to term rule to find the next terms. The General Rule is then explored. How to find terms from the General Rule is explained. All ideas also have question slides and all answers are included.

Using differences and second differences to find the general rule for quadratic sequences. Lots of examples with n^2 , 2n^2, 3n^2 etc. Worked examples and questions on all skills. All answers included.

Explores connection between exponential graphs and geometric series in the starter. The shape of exponential functions is explored and the common features. Plotting these graphs is demonstrated. Questions based on two coordinates are explained. Questions and answers included.

Starter looks at multiplicative relationships to use for calculating Scale factors. Similarity of shapes explained. Worked examples of finding missing lengths in triangles and quadrilaterals given. Questions reinforcing learning. All answers included.

Method relates to numerical fractions and reemphasizes canceling common factors. Worked examples for both numerical and algebraic fractions. Looks at single expressions and complex expressions requiring factorisation. Question slides for all skills. All answers included.

Looks at how we know what equations to write to solve problems. Starter includes solving equations and substitution. Examples written to trigger a structured method. Full worked examples and questions. Extension slide includes non-linear example, an example where one answer is nonsensical and one example using ratios. All answers included.

Lesson examines how vectors can be combined. Starter asks pupils to identify vector required between two coordinates. Vector arithmetic with both diagrams and column vectors explained. Worked examples and questions on all skills. All answers included on ppt.

Lesson covering algebraic definitions of consecutive, odd and even numbers. Proofs looked at 1] Prove that an expression is a multiple 2] Prove that two expressions are equal 3] Proofs involving properties of odd/even numbers. All skills are introduced through worked examples and have question slides. All answers included.