# Chris Barclay's Shop

Average Rating4.73
(based on 81 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.

#### Transformation of Trigonometric Graphs

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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.

#### 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.

#### Speed-Time Graphs

(4)
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.

#### Algebraic expressions Function machines

(2)
This resource is for KS3 students and shows them the connections between words, algebraic expressions and function machines. The lessons starts with a large number of examples allowing pupils to work on white boards. There is then a matching exercise. Pupils are then shown how to substitute values into algebraic expressions and how to enter inputs into function machines. The aim is that they see how both are essentially the same process. There are a large number of examples allowing for white board work. Pupils are then given a worksheet where they find the outputs for given function machines and inputs. The extension asks students to find inputs for given outputs with a hint at inverse function machines.

#### Frequency Trees

(1)
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.

#### Bearings using Sine and Cosine Rule

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This resource is for advanced KS4 students. It consists of a lesson presentation that includes a starter and worked solutions to the questions on the accompanying worksheet. Knowledge of Bearings, Sine Rule and Cosine Rule is assumed. The lesson teaches how to solve problems that require the application of the Sine and Cosine Rules. In particular, the focus is on Bearings problems that require application of one or other of the Rules. There is a problem involving a triangle whose sides are given as algebraic expressions and a problem where the three sides of the triangle are all tangents to a circle.

#### Mutually exclusive events

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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.

#### 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.

#### Rate of Flow

(2)
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.

#### 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.

#### 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.

#### Scale Drawings with Bearings

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This resource is for core and advanced ability KS4 students. The resource consists of a lesson presentation and worksheet. The lesson presentation includes a starter and worked solutions to the questions on the worksheet. The lesson starts by considering scale drawings to be similar shapes whose lengths are measured in different units. The lesson then proceeds on how to construct a scale drawing with angles given as bearings, before considering how to measure and interpret the lengths and angles measured off the diagram. The worksheet starts with two simpler questions, then two questions with accompanying diagrams before finishing with several questions where the student is expected to interpret the text in order to draw the scale diagram. Teachers may wish to limit core ability students to the first four questions, leaving the others as extension. Advanced students will be challenged by the expectation that they translate text into a diagrams.

#### Finding Turning Points

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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.

#### 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.

#### 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.

#### 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).

#### Listing Outcomes

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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.

#### Utility Bills

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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.

#### Probability Problems involving Algebra

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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.

#### 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.