This resource is for KS4 students looking for a 7-9 grade. The resource consists of a lesson presentation and a worksheet. The lesson presentation includes a starter and worked solutions to all the questions on the worksheet. Students learn how to find where the quadratic graph cuts the axes, the line of symmetry of the graph and the coordinates of the turning point. Students learn to then sketch the graph.

This resource is aimed at helping students answer a new style of GCSE question, where the initial ratio of a mixture (typically a drink) is given, a fraction of the total amount is removed and/or an amount is added and students then have to find a ratio, fraction or percentage from the final situation. The resource is for KS4 students taking the Higher paper. The resource consists of a lesson presentation with two examples. Students are then given three similar problems to answer and the worked solutions to these are included.

The resource is for KS4 students. It consists of a lesson presentation and a worksheet. The lesson presentation includes a starter, examples and worked solutions to the questions on the worksheet. The lesson introduces the concept of mutually exclusive events. Students are shown how to determine whether two events are mutually exclusive or not. The questions involve rolling dice, spinning spinners and choosing marbles. There is a question where the sum of probabilities for two events proves that they are not exclusive.

This resource is for advanced KS4 students. The resource includes a lesson presentation and accompanying worksheet. The lesson presentation includes a starter and worked solutions to the problems on the worksheet. The lesson starts with a revision of angle of elevation. It proceeds to show how to form a right-angled triangle from a line and a plane and how to use trigonometry to calculate the angle between line and plane.

The resource is for advanced KS4 students. It consists of a lesson presentation and a worksheet. The presentation includes a starter and worked solutions to the contextual questions on the worksheet. The lesson starts by explaining the general form for the position-to-term rule for a geometric sequence. Students then learn (i) to generate geometric sequences from the rule, (ii) to find the rule for a geometric sequence and (iii) to find missing terms. There is an exercise for each of these three parts. The final part of the lesson consists of an example and five contextual questions for the students to do, all involving geometric sequences.

The resource is for advanced KS4 students. It consists of a lesson presentation and a worksheet. The lesson presentation includes a starter, the teaching part and worked solutions to all the questions on the worksheet. The starter is revision of completing the square. Students are then taught how to use the completed square to find the coordinates of the turning point for a quadratic whose coefficient of x squared is 1. There are 8 examples for the students to do themselves. There is an extension of 6 questions involving quadratics where the coefficient of the x squared is either more than 1 or negative.

The resource is for KS4 students. It consists of a lesson presentation, a worksheet which includes a matching exercise and a handout with the three trig graphs. The presentation includes a starter and worked solutions to the worksheet. The lesson starts with a revision of the trig graphs and transformations. Four examples of transformations of trig graphs are given before students complete a matching exercise. Students are then asked to do an exercise in finding maximum and minimum values, an exercise finding where axes are intersected and then to sketch some transformed graphs.

The resource is for KS4 students. This resource is a course in functions, consisting of lesson presentations for 5 lessons and a worksheet to print out for the fifth lesson. The lessons are ordered from 1 to 5. The revision of building function machines is an optional start to lesson 5. The lessons are: an introduction to functions; combining functions; finding the single function equivalent to two functions; solving equations involving functions; and inverse functions.

This resource consists of a short lesson plus two full lessons. Between the three lessons, all the types of harder questions involving indices are covered. For each lesson, there is a presentation and worksheet. The presentations include starters, examples and worked solutions to the questions on the worksheets. ‘Writing number as power of another’ covers two types of questions: (a) writing one number as a power of another and (b) finding the base which when raised to a given index equals a given value. ‘Solving Equations by Equating Indices’ looks at questions where the unknown is part of the indices. The lesson is structured to cover (a) equations where all the bases arrre the same, (b) the bases are all integer powers of one of them and © where the bases are not integer powers of any of them. ‘Simultaneous Equations with Powers’ looks at questions where (a) the two unknowns are in the indices of the two simultaneous equations and (b) the two unknown are the bases.

This resource is for KS4 pupils taking the Higher paper. The objective of the resource is to help pupils tackle 3D problems where they need to apply Pythagoras’ Theorem, trigonometry in right-angled triangles and the cosine rule. The presentation has a starter, two examples and worked solutions to the 6 questions on the worksheet. The shapes covered are cuboids, pyramids, cylinders and wedges. (There is another resource available which does not require the application of cosine rule in similar problems).

This resource is for high achieving KS4 students. The resource consists of a lesson presentation and a worksheet. The lesson presentation includes a starter and worked solutions to the questions on the worksheet. The new specifications suggest that students will increasingly be tested on finding the area under a real-life graph and the gradient of a real-life graph. The types of graph could be horizontal, a straight line with a gradient positive or negative, a series of straight lines or a curve. Each of these possibilities is considered. The lesson starts by looking at the relationship between distance-time, velocity-time and acceleration-time graphs. However, there are examples and many questions whose context is in the fields of biology, chemistry and physics: osmosis, electrolysis, diodes etc. .

The resource is for KS3 students and KS4 students taking the Foundation paper. The resource consists of a lesson presentation and structured worksheet. The lesson presentation includes a starter and worked solutions to the worksheet. Students are led through the process of substituting into an algebraic expression, compiling a table and then taking the coordinates from the table to plot the linear graph. This lesson helps students understand that the (x, y) coordinates of a point are written horizontally but are typically compiled vertically in a table.

The lesson is aimed at KS4 students, who can plot a linear graph if expressed in the form y = mx + c, but who are slightly baffled by the graph being expressed in the form Ax + By = C.

The lesson is aimed at KS4 students who are wondering what relevance different types of graph have. The learning objective is for students to see that these graphs do have real-life meaning and that this helps them differentiate between the different types of graph.