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Chris Barclay's Shop

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(based on 91 reviews)

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.

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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.
KS3 Geometric Proof
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KS3 Geometric Proof

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This resource looks at geometric proof for KS3 students. The resource consists of a lesson presentation, a worksheet and a handout showing the conditions for congruent triangles. The lesson presentation includes a starter, examples and worked solutions to the questions on the differentiated worksheet. Questions include the angles in regular polygons, the angles between diagonals, using parallel lines and a line of symmetry.
Timetables
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Timetables

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This lesson is for KS4 students working towards the Foundation paper. The resource consists of a lesson presentation and a worksheet. The lesson presentation show students how to interpret and use timetables. It also includes a starter and worked solutions to the questions on the worksheet.
KS4 Algebraic Proof
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KS4 Algebraic Proof

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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.
Problems of Area and Algebra (Quadratic)
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Problems of Area and Algebra (Quadratic)

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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.
Upper and Lower Bounds with Division
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Upper and Lower Bounds with Division

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This lesson is the third in the series and follows on from ‘Upper and Lower Bounds for Area and Volume’. This time the upper and lower bounds are calculated for a quantity involving the DIVISION of one quantity by another, for both of which upper and lower bounds are known. Again the concept is explained using real-life contexts.
Upper & Lower Bounds with Multiplication
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Upper & Lower Bounds with Multiplication

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This lesson follows on from ‘Upper and Lower Bounds in Context’ and again uses real life contexts to explain the concept. It teaches students how to find the upper and lower bounds for area and volume involving the multiplication of two or three lengths, each of which have their own upper and lower bounds.
Upper and Lower Bounds in Context
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Upper and Lower Bounds in Context

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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 all the questions on the worksheet. It explains the idea of upper and lower bounds by placing them in the context of taking real-life measurements. Error intervals are also defined and students are shown how to find the maximum possible error. This resource is followed by other lessons: ‘Upper and Lower Bounds with Multiplication’ and ‘Upper and Lower Bounds with Division’.
Degree of Accuracy
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Degree of Accuracy

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The resource consists of a lesson presentation and worksheet. This lesson is the fourth and final in the series on Upper and Lower Bounds. In this lesson, students learn how to find the degree of accuracy to which a measurement can be given. Again the concept is explained through real-life contexts.
Surface Area of Composite Shapes
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Surface Area of Composite Shapes

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This resource is 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 the questions on the worksheet. The lesson starts with a revision of the surface area for spheres, cylinders and cones. Students are then extended to learn how to find the surface area of shapes such as hemispheres, frustums and composite 3D shapes.
Profit and Loss
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Profit and Loss

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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.
Functional Problems involving Area
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Functional Problems involving Area

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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 tackle functional problems involving dividing one area by another. The contexts include finding the number and cost of tiles and the amount and cost of paint.
Area of Composite Shapes
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Area of Composite Shapes

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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.
Perimeter of Curved Shapes
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Perimeter of Curved Shapes

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This resource is for KS4 students. It consists of a lesson presentation and a worksheet. The lesson presentation consists of a starter and worked solutions to all the questions on the worksheet. The starter involves finding the perimeter of a semi-circle and a quarter-circle. Students then find the perimeter of more complex shapes by identifying separate sides, finding the length of each side curved or straight and adding the lengths to find the perimeter of shapes with curved sides. Worked solutions to the worksheet are included.
Recurring Decimals
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Recurring Decimals

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This resource is for KS4 students taking the Higher paper. 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. Students learn how to convert recurring decimals into fractions. They are taught to focus on the length of the recurring pattern to decide what multiple of x to use. As an extension, students are asked to investigate the condition for a fraction to convert into a non-recurring decimal.
Surface Area of Cuboids (Foundation)
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Surface Area of Cuboids (Foundation)

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THIS LESSON REQUIRES 1 SMALL CEREAL PACKET PER PAIR OF PUPILS COSTING AROUND £3 FOR 8 PACKETS. This resource is for KS3 students and for KS4 students planning to take the Foundation paper. 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 lesson starts with students measuring the dimensions of the small cereal packet. They then cut open the packets and measure the dimensions of the resulting net and its six faces. Students move on to finding the surface area of a cuboid from a drawing and finally from the dimensions alone.
Identifying Parts of Circles
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Identifying Parts of Circles

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This resource is for KS4 students. The resource consists of a lesson presentation and a worksheet. Worked solutions to the worksheet are included in the worksheet. I teach this lesson before teaching circle theorems. It teaches students to look at the diagrams more closely and identify particular arcs, radii, sectors, segments, reflex and non-reflex angles.
Trigonometry as Similar Triangles
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Trigonometry as Similar Triangles

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This resource is for KS4 students. The resource is a series of three lessons looking at the application of trigonometry to right-angled triangles. Each lesson has a lesson presentation and accompanying worksheet. The lesson presentations include both a starter and worked solutions to the questions on the worksheet. Start with ‘Similar-Shapes-2-Trig-I’ and continue with ‘II’ and ‘III’. The trigonometric functions are represented as the ratios of lengths of sides in similar right-angled triangles. Students then learn how to find missing lengths and missing angles.
Completing the Square II
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Completing the Square II

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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.
Compound Quantities
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Compound Quantities

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This resource is for KS4 students. It consists of a lesson presentation and worksheet. The lesson introduces rate of flow, exchange rate, population density and pressure - all of which are found by dividing one quantity by another. The lesson proceeds onto questions on proportion where the compound quantity is or is assumed to be the same.
Comparing Measurements
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Comparing Measurements

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This resource is for strong KS3 and any KS4 student that needs to work on units. The lesson consists of a lesson presentation and a worksheet. The lesson presentation has examples and worked solutions to the questions on the worksheet. The lesson teaches students to compare measurements when the measurements are given in different units. Students learn how to compare measurements in different metric units, when one is in metric units and the other in imperial units, when time is given in different units and when comparing compound units.