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Chris Barclay's Shop

Average Rating4.40
(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.
Negative Coordinates Paintball Game
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Negative Coordinates Paintball Game

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A battleship type of activity involving paintballing that asks KS3 pupils to test their skill at using positive and negative coordinates. Preferable perhaps to a teacher not wishing to endorse warfare.
Coordinates Paintball Game
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Coordinates Paintball Game

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A battleship type of activity involving paintballing that asks KS3 pupils to test their skill at using positive coordinates. (There is another free resource for negative and positive coordinates). Preferable perhaps to a teacher not wishing to endorse warfare.
Comparing Measurements (Foundation)
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Comparing Measurements (Foundation)

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This resource is for strong KS3 and any KS4 student working towards the Foundation paper. (There is a harder version 'Comparing Measurements). 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
Problems involving Iteration
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Problems involving Iteration

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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.
Motion under Gravity
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Motion under Gravity

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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.
Pythagoras' Theorem (Structured)
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Pythagoras' Theorem (Structured)

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This resource is targeted at low ability KS4 students, who struggle with Pythagoras’ Theorem. They are led through the Theorem in a structured manner, with the learning objective being that they can find both the hypotenuse and one of the shorter sides. The resource consists of a lesson presentation and the structured worksheet.
Completing the Square
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Completing the Square

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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.
How perimeter and area vary with shape
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How perimeter and area vary with shape

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This activity is designed to teach KS3 students the difference between perimeter and area. (Centimetre squared paper is required). The first activity is to find rectangles with the same area but different perimeters. The second activity requires students to find the perimeter and area of a number of composite shapes. Through doing so they should gain an appreciation of the type of shapes that have high perimeter and low area and the types of shapes that have low perimeter and high area.
Algebraic Terms and Expressions with 2 Variables
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Algebraic Terms and Expressions with 2 Variables

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This resource is for KS3 students and continues from topics covered in my free download entitled ‘Introduction to Algebraic Terms and Expressions using Area’. The areas of rectangles and compound shapes are used to introduce the idea of algebraic terms and expressions - but this time involving two variables. After an introduction, there are plenty of examples for whiteboard use. There is then a matching exercise, where students have to match algebraic expressions to the shapes whose areas the expressions represent. In an extended plenary, pupils are asked to multiply and factorize algebraic expressions in one variable, multiply and factorize terms in two variables and finally expand two brackets with different variables and factorize expressions involving terms in two variables.
Introduction to Algebraic Terms and Expressions using Area
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Introduction to Algebraic Terms and Expressions using Area

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This resource teaches KS3 students to use algebraic terms and expressions to represent the area of rectangles, squares and compound shapes. In doing so, they learn how to expand brackets and factorize algebraic expressions. After an introduction, there are many examples offering ample scope for the use of whiteboards. There is then a matching exercise where students have to match shapes with expressions for their areas. There is an extended plenary where students are asked to expand single brackets and factorize linear terms, multiply two terms in the same variable and to factorize a term in n-squared, expanding two brackets and factorizing a quadratic square.
Scale Factors, Areas and Volumes
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Scale Factors, Areas and Volumes

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This resource is for KS4 students taking the Higher paper. It consists of a presentation for the whole lesson and a worksheet. The presentation includes a starter, examples for work with white boards and solutions to the questions on the worksheet. The lesson is in two parts. Part one looks at how the perimeters of similar 2D shapes are scaled up or down by the scale factor and how the areas of similar 2D shapes are scaled up or down by the square of the scale factor. Part two looks at how the surface areas of similar 3D shapes are scaled up or down by the square of the scale factor and how the volumes of similar 3D shapes are scaled up or down by the cube of the scale factor.
Finding the Radius of a Curved Side
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Finding the Radius of a Curved Side

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This a resource to give KS4 students practice of how to find the radius of a curved side. It as an activity to do before finding the perimeter and area of compound shapes with curved sides. There is a worksheet and the presentation gives the answers.
Combined Proportional Relationships
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Combined Proportional Relationships

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This resource is for KS4 students taking the Higher paper. It teaches students how to find the constant of proportionality and to use the full equation when one quantity is proportional to two others. The lesson is in two parts and may be taught as two lessons. In the first part, students look at relationships when one quantity is directly proportional to two other quantities. This includes the ‘two painters take 5 days to paint 4 houses. …’ type of question as well as more contextual questions. In the second part, more complex relationships are considered where one relationship is inversely proportional and where one or both relationships involve proportionality to the square or square root. There are two matching exercises to help the students develop their understanding, one for each part of the lesson (see above). There is also a worksheet consisting of 5 questions for each of the two parts of the lesson. The lesson presentation includes examples and solutions to the questions on the worksheet.
Boxplots, Pie Charts, Frequency Tables, Quartiles, Mode and Median
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Boxplots, Pie Charts, Frequency Tables, Quartiles, Mode and Median

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This resource is for KS4 students, who have already covered boxplots, pie charts, quartiles, mode and median and analysing frequency tables to find them. The resource is labeled as an ‘activity’, but would cover most of a lesson. There is a lengthy introduction revising frequency tables, boxplots, pie charts and how to extract quartiles, modes and medians from them. Students are also prepared for comparing two of the same sort of chart or table. Use of whiteboards at this stage is possible. Students are then asked to match each Frequency Table to the corresponding Analysis Table, Pie Chart and Boxplot. To do this, students need to complete the Frequency Tables by calculating the Cumulative Frequencies. After matching the tables and diagrams, students are expected to complete each Analysis Table by finding the Modal Class, Shortest Height, Tallest Height and Range of Heights.
KS4 Geometric Proof
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KS4 Geometric Proof

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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.
Creating Equations
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Creating Equations

(1)
This resource is for KS3 students and shows them how to create equations from statements starting with ‘I think of a number. …’ The lesson starts with writing algebraic expressions. There are numerous examples for white board work. There is then a matching exercise. The lesson then proceeds to creating equations. Two examples are given of creating and solving equations. There are then two sets of 3 equations and descriptions to be matched as a class exercise. A second matching exercise then consolidates understanding. Students are then given a worksheet with 8 questions. They are asked to create the equation for each question. The extension is to solve the equations.
Upper & Lower Bounds
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Upper & Lower Bounds

4 Resources
There are four resources in this bundle, all part of the topic of upper and lower bounds. All the resources are designed to help candidates for the Higher paper tackle harder upper and lower bound questions. Two of the resources cover the combination of upper and lower bounds when they are multiplied and divided. Another resource looks at contextual problems. The fourth tackles finding the degree of accuracy and giving an accurate answer.
Algebra Plus
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Algebra Plus

6 Resources
The bundle consists of 6 resources, all designed to help students tackle problems involving algebra plus either shape or probability. GCSE examiners have found that an easy way to add complexity is to combine these different areas of Maths. The level of the resources varies. Some can be tackled by KS3 students or students taking the Foundation paper. Others involve solving quadratic equations.
Comparing Prices and Offers
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Comparing Prices and Offers

8 Resources
This bundle consists of 7 premium resources, all designed for students taking the Foundation paper. The aim is to teach students: to understand and calculate utility bills including adding a fixed charge and tax; to understand and calculate discounts and final prices; to understand ad calculate profit and loss; to compare offers; to compare prices in different currencies and measurement sin different units.