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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.
Adding and Multiplying Probabilities
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Adding and Multiplying Probabilities

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This resource is for KS4 students. It follows on from ‘Listing Outcomes’. 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 probabilities and when to multiply the number of probabilities. The first questions on the worksheet are traditional spinner and dice type questions. The later questions are real-life situations.
Perimeter to Money Contextual Problems
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Perimeter to Money Contextual Problems

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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.
Probabilities and Two-way tables
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Probabilities and Two-way tables

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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 and worked solutions to all the questions on the worksheet. The starter is revision of completing two-way tables. Students then learn to find probabilities from two-way tables. They then learn how to construct two-way tables from text and then to find probabilities.
Comparing Full Prices
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Comparing Full Prices

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This resource is for KS4 students who are working towards the Foundation paper. The resource consists of a lesson presentation and a worksheet. Worked solutions to the worksheet are included. Students learn to compare prices by calculating the full price when offers involve instalments, discounts and prices are quoted before VAT is applied.
Linear Quadratic Simultaneous Equations
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Linear Quadratic Simultaneous Equations

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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 three fully worked examples. Students learn how to solve simultaneous equations where one is linear and the other quadratic USING ALGEBRA. (There is another version using graphs).
Geometric Sequences
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Geometric Sequences

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The resource is for advanced KS4 students. It consists of a lesson presentation and a worksheet. The presentation includes a starter and worked solutions to the contextual questions on the worksheet. The lesson starts by explaining the general form for the position-to-term rule for a geometric sequence. Students then learn (i) to generate geometric sequences from the rule, (ii) to find the rule for a geometric sequence and (iii) to find missing terms. There is an exercise for each of these three parts. The final part of the lesson consists of an example and five contextual questions for the students to do, all involving geometric sequences.
Gradient of and Area under Graphs
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Gradient of and Area under Graphs

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This resource is for high achieving 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 new specifications suggest that students will increasingly be tested on finding the area under a real-life graph and the gradient of a real-life graph. The types of graph could be horizontal, a straight line with a gradient positive or negative, a series of straight lines or a curve. Each of these possibilities is considered. The lesson starts by looking at the relationship between distance-time, velocity-time and acceleration-time graphs. However, there are examples and many questions whose context is in the fields of biology, chemistry and physics: osmosis, electrolysis, diodes etc. .
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.
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.
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.
Sketching Quadratic Graphs
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Sketching Quadratic Graphs

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This resource is for KS4 students looking for a 7-9 grade. 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. Students learn how to find where the quadratic graph cuts the axes, the line of symmetry of the graph and the coordinates of the turning point. Students learn to then sketch the graph.
Problems Area and Algebra (Foundation)
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Problems Area and Algebra (Foundation)

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This resource is for KS4 students taking the Foundation paper. 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 linear expression for a composite area, how to form an equation and how to solve the linear equation to find the unknown.
Proportion of Shapes
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Proportion of Shapes

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This resource is for KS4 students. It consists of a lesson presentation, including starter, examples and worked solutions, and a worksheet including extension questions. The lesson intends to help students answer GCSE questions where they are asked to give the proportion of a larger shape that is shaded. They are shown that the proportion is a fraction equal to the shaded area divided by the larger area. Examples are given and then students answer questions on a structured worksheet. Initially the questions involve normal shapes whose areas are given by formulae but they become harder requiring students to be more enterprising in order to find the areas.
Direct & Inverse Proportionality
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Direct & Inverse Proportionality

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This resource is for KS4 students. It consists of a lesson presentation and worksheet. The lesson presentation includes a starter and worked solutions to the worksheet. The purpose of the lesson is to give students an understanding of directly and inversely proportional relationships and an understanding of the difference between them. (The lesson does not consider relationships where y is directly or inversely proportional to a power of x). The lesson starts with an example of both types of relationship and also a relationship that is neither. The students learn how to identify the type of relationship or absence of either from the corresponding values for the variables. The worksheet asks the students to do this for 8 different cases, before posing several real-life situations and asking the students to identify the type of proportionality.
Identifying a Proportional Relationship
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Identifying a Proportional Relationship

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This resource is for advanced KS4 students. The lesson consists of a lesson presentation and a worksheet. The lesson presentation includes a starter and worked solutions. The purpose of this lesson is for students to learn to identify not just whether a relationship is direct or inverse but the exact power of the relationship. (There is a simpler lesson entitled ‘Direct and Inverse Proportionality’ in which students focus on whether a relationship is inverse or direct). Students are shown how to do this and are then given 8 cases, for which they have to express the relationship in words, sketch the graph and give the formula including constant of proportionality. The worksheet ends with students having to find the formula in 5 real-life examples of proportional relationships.
Problems of Area and Algebra (Linear)
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Problems of Area and Algebra (Linear)

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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 linear expression for a composite area, how to form an equation and how to solve the linear equation to find the unknown.
Area of Triangle Formula
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Area of Triangle Formula

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This resource is for advanced KS4 students. The resource consists of a lesson presentation that includes a starter and worked solutions to the structured questions on the worksheet and that worksheet. The lesson starts by teaching how to label a triangle and to identify whether or not the formula is applicable to finding the area of a particular triangle. The lesson proceeds to using the formula to find areas and then, given the area, to find missing angles. The lesson finishes with more complex problems that require the use of the formula.
Best Value with Different Currencies and Units
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Best Value with Different Currencies and Units

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The resource is for core and advanced KS4 students. The resource consists of a lesson presentation and a structured worksheet. The lesson presentation includes a starter and worked solutions to all the questions on the worksheet. The lesson starts with a revision of converting currencies and units. The lesson then explains in detail how to answer a question asking the student to find best value when prices are given in different currencies and different units. The structured worksheet starts with questions that require just one conversion, proceeds to GCSE Higher standard questions requiring two conversions and then to more complex questions where prices are for amounts other than 1 unit (e.g. half a kilo, 430 ml).