The resource is for KS4 students. It consists of a lesson presentation and a worksheet. There are two parts to the lesson: completing frequency trees and finding probabilities from completed frequency trees. Worked solutions to the questions on the worksheet are given in the lesson presentation.

This resource is for strong KS3 students and for KS4 students. The resource consists of a lesson presentation and worksheet. Lengths and angles are given as algebraic expressions. A property of the shape such as area or perimeter is given allowing formation of an equation, which can be solved to find the value of the unknown. I previously downloaded the worksheet as a free download, so this lesson is also free. Thanks and best wishes to whoever originally uploaded the worksheet.

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.

The resource is for KS4 students. It consists of a lesson presentation and a worksheet. The example and questions involve using the sum of angles for a shape to form an equation, then to solve the angle, to substitute the solution into the expressions for angles and to then draw a conclusion from the angles of the shape.

The resource is for KS4 students and consists of a lesson presentation and worksheet. The lesson presentation includes two examples and then worked solutions to the 6 questions on the worksheet, which include finding implied interest rates, finding square roots using the Babylonian formula, an iteration that generates a sequence and solving equations involving geometry.

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 starter involves proving that a root lies between two values of x. There is an optional exercise if students require more practice at this. Iteration is then explained and an example given. The worksheet asks students to do three iterations to find solutions to specified degrees of accuracy. Extension involves two iterations that don’t work and identifying the re-arranged equations that are equivalent to the equation to solve.

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.

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 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.

This resource is for KS4 students. Knowledge of the equations of motion is not expected. The resource consists of a presentation and worksheet. The presentation has a starter that differentiates between average acceleration and instantaneous acceleration. Students learn how to use the formula for the displacement of an object to analyze its motion and to find the instantaneous speed from a non-linear displacement-time graph.

This resource is for KS4 students and consists of a lesson presentation and a structured worksheet. The lesson presentation includes a starter and worked solutions to the worksheet. The starter is a revision of finding position-to-terms for linear sequences. Quadratic sequences are then introduced. Students are shown how to find the position-to-term rule for a quadratic sequence. The students are then asked to find the rule for a number of quadratic sequences. For the first three they are given structured support; for the next three none. As extension, the students are asked to find the position-to-term rule from any 3 terms.

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 KS4 students and consists of a lesson presentation and a worksheet. The lesson shows how to generate a Fibonacci sequence and gives worked solutions to questions on the structured worksheet. The worksheet starts with generating a sequence and then proceeds to finding the initial terms from two consecutive terms in the sequence and finding the first two terms from two non-consecutive terms.

This resource is for advanced KS4 students. The resource consists of a lesson presentation and a worksheet. The lesson includes a starter (expanding the square of an algebraic expression where the coefficient of x is not 1), examples and worked solutions to the question son the worksheet. The lesson is in two parts: completing the square when the coefficient of the x squared term is not 1 and using this technique to solve quadratic equations where the coefficient of the x squared term is not 1.

This resource is for advanced KS4 students. It includes a lesson presentation and worksheet. The lesson presentation includes a starter (expanding the square of an algebraic expression) and worked solutions to the questions on the worksheet. The lesson is in two parts. Firstly, students learn how to take a quadratic expression and complete the square. In the second part, they learn how to apply the technique to solving quadratic equations.

This resource is for low ability KS4 students. It consists of a lesson presentation, a worksheet plus two handouts. One handout is a matching exercise for students. (IT NEEDS TO BE CUT UP!) The other handout is a summary of what students can and cannot do when solving linear inequalities. The lesson starts with revision of solving equations. The idea of the solution to an inequality being a range of values is then explained as well as how students can solve inequalities. There is a matching exercise where students re-build solutions that have been cut up before solving two-part inequalities. There are two further parts to the lesson: three-part inequalities and integer solutions. In each case, an example is given before students complete an exercise of questions.

This resource is for KS4 students. It consists of a lesson presentation, a worksheet plus two handouts. One handout is a matching exercise for students. (IT NEEDS TO BE CUT UP!) The other handout is a summary of what students can and cannot do when solving linear inequalities. The lesson starts with revision of solving equations. The idea of the solution to an inequality being a range of values is then explained as well as how students can solve inequalities. There is a matching exercise where students re-build solutions that have been cut up before solving two-part inequalities. There are two further parts to the lesson: three-part inequalities and integer solutions. In each case, an example is given before students complete an exercise of questions.

This lesson is for advanced KS4 students. It consists of a lesson presentation and a worksheet. The lesson presentation includes a starter, two exercises for the students to do before tackling the worksheet and worked solutions to the worksheet. The lesson starts by revising re-arranging inequalities. For the first exercise, students are given a quadratic graph and are asked to match solutions to the corresponding quadratic inequality. The second exercise is a matching exercise with students asked to match a quadratic inequality to a graph and solution, helped by first calculating the discriminant. This leads into examples of finding the solution to a quadratic inequality and a varied sample of questions for the students to do.

This lesson is for advanced KS4 students. The resource consists of a lesson presentation and worksheet of 12 questions. The lesson presentation includes a starter and worked solutions to all the questions on the worksheet. The lesson starts with revision of finding the area and circumference of a circle. An example is given showing how to calculate the number of revolutions of the wheels of a bicycle as it travels a specified distance. The worksheet includes a number of similar questions involving wheels and cogs, a question involving a satellite in orbit and a number of questions involving athletics tracks, javelin pit and cricket fields.

The resource is for core and advanced KS4 students. The resource consists of a lesson presentation and a structured worksheet. The lesson presentation includes a starter and worked solutions to all the questions on the worksheet. The lesson starts with a revision of converting currencies and units. The lesson then explains in detail how to answer a question asking the student to find best value when prices are given in different currencies and different units. The structured worksheet starts with questions that require just one conversion, proceeds to GCSE Higher standard questions requiring two conversions and then to more complex questions where prices are for amounts other than 1 unit (e.g. half a kilo, 430 ml).