Features of my lesson plans for KS3 and KS4 maths include sub-dividing topics into steps so that students develop one skill at a time, colour coded diagrams and explanations, worked solutions and putting the maths into real-life contexts. I am also focusing on different types of problem-solving questions and on questions where different topics are combined, say shape and algebra, probability and algebra, proportion and area.
I welcome feedback and am open to suggestions for new lesson topics.
Features of my lesson plans for KS3 and KS4 maths include sub-dividing topics into steps so that students develop one skill at a time, colour coded diagrams and explanations, worked solutions and putting the maths into real-life contexts. I am also focusing on different types of problem-solving questions and on questions where different topics are combined, say shape and algebra, probability and algebra, proportion and area.
I welcome feedback and am open to suggestions for new lesson topics.
This resource is for KS4 students. The resource consists of a lesson presentation and a worksheet. The lesson presentation includes worked solutions to the questions on the worksheet.
Students learn to separate composite shapes into shapes, for which there are formulae. Students then calculate the area of each part and sum to find the total area. The lesson starts with finding the area of shapes that can be separated into two rectangles. It then continues with composite shapes involving other shapes.
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 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. 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 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.
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 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 lesson is for KS4 students and teaches them to tackle problems involving rate of flow of a liquid, the volume of a liquid and time. The topic follows the model used to teach density and speed.
The resource consists of a lesson presentation and worksheet. The lesson presentation consists of a starter, examples and worked solutions to all the questions on the worksheet. There are three exercises in the lesson with examples before each. The first exercise requires students to find the rate of flow, the second volume or time and the third exercise has more difficult contextual questions.
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 preparing for the Foundation paper. The resource consists of a lesson presentation and a worksheet. The lesson presentation includes worked solutions to the questions on the worksheet.
Students learn how to subtract costs from revenue and to interpret the answer as profit or loss. The questions on the worksheet are structured from straightforward to more complex.
This resource is for high ability 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 starter involves working out the value of powers. The lesson then introduces exponential graphs and the use of the graphs to solve equations. It moves on to introducing practical problems involving exponential growth and decay.
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.
This resource is for all KS4 students and teaches them how to tackle a common GCSE problem solving question. This lesson teaches students to tackle problems involving measuring an area, calculating the number of items such as tins or bags required and the cost of purchasing these items.
The resource consists of a lesson presentation, a worksheet and a handout. The lesson presentation includes examples and fully worked solutions for the questions on the worksheet. The lesson is structured so that students start with easier two-stage problems involving finding area and then cost, before tackling the harder three-stage questions. The handout (HO) is a copy of the examples covered in the lesson and can be printed out for students to save them having to copy off the board.
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.
This lesson teaches students to tackle problems involving measuring a perimeter, calculating the number of items required and the cost of purchasing these items. The lesson includes examples and fully worked solutions for the questions on the worksheet.
This resource is a short piece of work (less than a full lesson) for KS4 students. Knowledge of Pythagoras’ Theorem to find missing lengths of right-angled triangles is assumed. The resource uses the Theorem to show whether a triangle whose three lengths are given is right-angled or not.
The lesson is aimed at low ability KS4 students, who struggle to construct or match a graph showing the depth of water against time as water flows at a steady rate into vessels of different shapes.
The resource consists of a lesson presentation and a worksheet. The lesson presentation goes through the topic thoroughly. The worksheet gives a summary of the teaching, so that pupils don’t have to copy it down, and three questions. The lesson presentation also has a starter and worked solutions to the questions.
This resource is for KS4 students taking the Higher paper. There is a lesson presentation that includes starters, examples and worked solutions. There are two matching exercises and the worksheet.
There are two main parts to the lesson. The first is finding acceleration from the gradient. The starter revises the relationship between acceleration, speed and time and there is a matching exercise. The second part is finding the distance traveled from the area under the graph. There is a matching exercise for learning this. How to find both acceleration and distance from a curved graph is covered. There is a finally a differentiated worksheet.