This resource is for KS4 students. 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. The starter is revision of completing two-way tables. Students then learn to find probabilities from two-way tables. They then learn how to construct two-way tables from text and then to find probabilities.

These two lessons are for capable KS3 students. Start with ‘1. Algebraic Proof Introduction’ and the accompanying handouts and then continue with ‘2. Algebraic Proof Multiples’ and its worksheet. Students are introduced to the idea of letting any number be n and to finding expressions for consecutive numbers, odd and even numbers. Students then find expressions for sums and products and finally learn how to prove that such an expression is a multiple of a specified number.

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 preparing for the Higher paper. The resource assumes that students know how to add and subtract surds, how to multiply and divide surds and how to simplify surds. A worksheet is included and the lesson presentation includes a starter, examples and worked solutions. The new specification GCSE Higher papers feature many questions where two or more topics are combined. This lesson prepares students for questions that combine knowledge of surds with the properties of shapes and using formulae. In the first half of the lesson, students learn how to find and simplify expressions involving surds for the perimeter and area of shapes. In the second half of the lesson, students learn how to find a missing length in surd form from the area or perimeter of the shape and other dimensions. In both cases the questions are structured to start with easier examples and to end with harder examples.

This resource is designed for students attempting the Higher GCSE paper. Its aim is to equip these students to tackle questions involving two-stage journeys and unit mismatches, features that are likely to feature in future exam questions, as the examiners attempt to add complexity to questions involving speed. The resource consists of a cover slide, a lesson presentation and a worksheet. The lesson presentation includes a starter, a worked example and solutions to all ten questions on the worksheet. The starter revises converting between different units of time and distance. The questions on the worksheet start simply with a question where students have to add to find total distance and total time before dividing to find the speed. Complexity is added by getting students to find the distance and time in one of the stages and by introducing unit mismatches including getting students to express minutes as fractions or decimals of an hour. There are also a couple of questions involving using ratio and percentages to analyse the results.

This lesson looks at geometric proof for advanced KS4 students. The resource consists of a lesson presentation and a worksheet. The lesson presentation includes a starter and worked solutions to all questions on the worksheet. The starter asks students to prove that the sum of angles in a triangle is 180 degrees and prove the size of the interior and exterior angles in a pentagon. The first part of the lesson involves an example and questions involving proving properties of a common shape. The second part of the lesson involves an example and questions involving properties of composite shapes.

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.

The resource is for advanced KS4 students. It is assumed that students know how to find the constant of proportionality, though is revised in the starter. The resource consists of a lesson presentation and a worksheet. The lesson presentation includes a starter, two real-life examples of combining proportional relationships and an example of answering a GCSE style question requiring two such relationships to be combined. Worked solutions to the worksheet are also given. The 6 questions on the worksheet become increasingly more difficult.

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).

The resource is for KS4 students. It consists of a lesson presentation and worksheet. The presentation includes a starter, examples and worked solutions to the questions on the worksheet. The starter revises using perimeter and the sum of angles to form and solve equations to find unknowns. The lesson extends this topic by labeling angles and lengths with expressions with two unknowns. For instance, one pair of opposite sides of a rectangle are both expressions in x allowing the student to find the value of x. The other pair of sides of the rectangle are expressions in x and y, allowing the student to also find y. The worksheet has 10 questions involving both angles and sides and a variety of shapes.

This resource is for KS4 students working towards the Higher paper. It consists of a lesson presentation and worksheet. The lesson presentation includes a starter and worked solutions to the questions on the worksheet. The lesson is differentiated. It starts with using meter readings to find the amount of energy used and the cost of that energy. It then includes a standing charge and finally VAT on the total bill.

This resource is for KS4 students. Start with ‘1. Algebraic Proof Introduction KS4’ and the accompanying handouts and then continue with ‘2. Algebraic Proof Multiples KS4’ and its worksheet. Students are introduced to the idea of expressing consecutive numbers as n, n+1 … and to the expressions for odd and even numbers. In the second lesson presentation, students learn how to sum consecutive terms and prove that the sum is a multiple of a particular number.

This lesson is for middle to high ability KS4 students. It teaches them how to use algebra to solve probability problems where there is an unknown. This could involve solving a linear equation or deriving a quadratic equation from a tree diagram and solving it. The resource consists of a lesson presentation and a worksheet. The lesson presentation includes a starter, an example and worked solutions to the questions on the worksheet.

This 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 all questions on the worksheet. This lesson teaches KS4 students to list possible outcomes and to learn when to add the number of outcomes and when to multiply the number of outcomes. There is an extension exercise where students consider real-life situations where order may or may not matter.

This resource is for KS4 students. The resource 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 teaches pupils how to find a quadratic expression for a composite area, how to form an equation and how to solve the quadratic equation to find the unknown.

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.

First few slides are a fun intro. Students are shown the method of dividing the numerator by the denominator to find the first fraction and then dividing the remainder(s) to find the other fractions. The lesson is split into two parts. after each example, there is an exercise consisting of 5 questions.

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.