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Chris Barclay's Shop

Average Rating4.40
(based on 90 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.
Trigonometry in 3D including sine and cosine rules
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Trigonometry in 3D including sine and cosine rules

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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).
Trigonometry in 3D (without sine or cosine rules)
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Trigonometry in 3D (without sine or cosine rules)

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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 and trigonometry in right-angled triangles. The presentation has a starter, an example and worked solutions to the 4 questions on the worksheet. The shapes covered are cuboids, pyramids, cylinders and wedges. (There is another resource available which requires the application of the sine and cosine rules in similar problems).
Trigonometry Extension Questions
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Trigonometry Extension Questions

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This resource is for KS4 students taking the Higher paper. There is a worksheet of 14 contextual questions and the presentation gives worked solutions to these problems. None of the problems require the use of the sine or cosine rules, just the application of trigonometry in right-angled triangles. The questions are of the type now being set in the new specification GCSE, where students are expected to apply trig in context. The questions include angles of elevation and depression, trig with bearings and the two right-angled triangles type of question where trig has to be applied twice to find the unknown.
Equations with Indices
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Equations with Indices

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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.
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.
Advanced Algebra KS4
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Advanced Algebra KS4

14 Resources
The bundle contains 12 resources, 2 of which are free. All are designed to help students taking the Higher paper to complete the harder questions now being asked. The topics covered in the bundle include: solving simultaneous equations where one is circular or quadratic; the use of graphs to solve simultaneous equations; finding turning points; understanding when to use the gradient of a graph and when the area underneath a graph; algebraic proof.
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.
Probability
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Probability

6 Resources
This bundle consists of 6 resources, all designed to give students sitting the Higher paper a more profound understanding of probability.
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.
Compound Quantities and Units
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Compound Quantities and Units

6 Resources
This bundle consists of 6 resources, all involving compound quantities such as speed, density and rate of flow. All the resources have been designed in response to changes under the new GCSE specification and new types of questions seen in the Higher papers. These changes include questions about two-stage journeys, the mixture of two liquids of different density and unit mismatches including the units for compound quantities.
Bearings, Sine and Cosine Rules and Area Formula
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Bearings, Sine and Cosine Rules and Area Formula

4 Resources
This bundle consists of 4 resources, all designed to help candidates taking the Higher paper tackle the more complex problems now being posed. One resource looks at bearings combined with scale factor. Another bearings combined with the sine and cosine rule. Another the Formula for the Area of a Triangle combined with the sine and cosine rules. The other resource is a thorough introduction to the Area Formula.
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.
Advanced Ratio and Proportion
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Advanced Ratio and Proportion

6 Resources
The bundle consists of 6 resources, all designed to help candidates taking the Higher paper tackle the harder questions now being asked in GCSE papers. Two resources help students tackle hard ratio problems, two develop understanding of proportional relationships (‘Identifying a Proportional Relationship’ is a progression from ‘Direct & Inverse Proportionality’) and two show pupils how to tackle hard proportion questions.
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 Histograms Cumulative Frequency Diagrams Matching Exercise
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Boxplots Histograms Cumulative Frequency Diagrams Matching Exercise

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This resource is for KS4 students who have studied boxplots, histograms and cumulative frequency diagrams. The resource is labeled an ‘activity’, but it will cover most of a lesson. There are two parts to the resource: the presentation and the handout for the students. The introduction covers the connections between a cumulative frequency diagram and a boxplot and between a cumulative frequency diagram and a histogram. Students are then to match each cumulative frequency diagram to the corresponding boxplot and histogram, as well as choosing the description that best describes the distribution of marks. The extension is to find the mean exam mark for each distribution.
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.
Pictograms Bar Charts and Pie Charts Matching Exercise
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Pictograms Bar Charts and Pie Charts Matching Exercise

(2)
This resource is for KS3 students who have studied pictograms, bar charts and pie charts. While labeled as an ‘activity’, it will cover most of a lesson. There are two parts to the resource - the handout to be given to the students and the presentation that covers the activity. The presentation includes an introduction that shows how pictograms, bar charts and pie charts are connected and also shows students how to compare two of the same sort of chart. Students than have to match 12 pictograms to 12 bar charts and 12 pie charts. One of each is missing and students have to draw the missing charts. Other charts are incomplete and students have to complete them.
Distance-Time Graphs KS3
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Distance-Time Graphs KS3

(3)
This resource is for KS3 students and has an extensive introduction to the topic, so that students understand how the graphs represent travel in one direction. To facilitate this, there are examples and a matching exercise. The two worksheets have been adapted from free worksheets that I downloaded thanks to other contributors to this website. If it was you who contributed them, thank you and I hope that I have done justice to your work. The answers to the worksheets are included in the presentation.