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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.
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.
Exponential Growth and Decay
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Exponential Growth and Decay

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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 worked solutions to the questions on the worksheet. The starter involves working out the value of powers. The lesson then introduces exponential graphs and the use of the graphs to solve equations. It moves on to introducing practical problems involving exponential growth and decay.
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.
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.
Quadratic Sequences
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Quadratic Sequences

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This resource is for KS4 students and consists of a lesson presentation and a structured worksheet. The lesson presentation includes a starter and worked solutions to the worksheet. The starter is a revision of finding position-to-terms for linear sequences. Quadratic sequences are then introduced. Students are shown how to find the position-to-term rule for a quadratic sequence. The students are then asked to find the rule for a number of quadratic sequences. For the first three they are given structured support; for the next three none. As extension, the students are asked to find the position-to-term rule from any 3 terms.
Circular Linear Simultaneous Equations
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Circular Linear Simultaneous Equations

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The resource is for high ability 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. Students learn that there can be no, one or two solutions and that each solution consists of corresponding x and y values. Students are shown how to solve simultaneous equations where one is linear and the other is that of a circle USING ALGEBRA. (There is another version using graphs).
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.
Comparing Two Offers
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Comparing Two Offers

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This resource is for low ability KS4 students. The resource consists of a lesson presentation and a worksheet. the lesson presentation includes worked solutions to all the questions on the worksheet. Students first learn how to find unit costs in order to compare different offers. They then learn how to compare prices given for different numbers of kg and other units. Finally they learn how to compare special offers such as BOGOF.
Proportion Unitary Method
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Proportion Unitary Method

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This resource is aimed at KS4 students working towards the Foundation paper. The resource consists of a lesson presentation and a worksheet. The lesson presentation includes examples and worked solutions to all questions on the worksheet. The lesson is in two parts. firstly, students learn to divide to find the amount per item. In the second part, students learn to divide and then multiply to find amounts for a specified number of items.
Advanced Ratio Problems
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Advanced Ratio Problems

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This resource is aimed at helping students answer three new types of ratio problems seen on GCSE papers. The first type of problem is where an amount has to be shared according to a ratio, the parts of the ratio are then changed and a new ratio formed and simplified. The second type of problem is where two ratios need to be combined to form one ratio. The third type of problem is where one part of a ratio is then expressed in terms of a second ratio and the two ratios have to be combined. The resource is therefore aimed at advanced KS4 students. The resource consists of a lesson presentation and a worksheet. The lesson presentation includes a starter, examples of all three types of question and worked solutions to all the questions on the worksheet.
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.
Ratios Fractions and Percentages
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Ratios Fractions and Percentages

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This resource is aimed at helping students answer a new style of GCSE question, where the initial ratio of a mixture (typically a drink) is given, a fraction of the total amount is removed and/or an amount is added and students then have to find a ratio, fraction or percentage from the final situation. The resource is for KS4 students taking the Higher paper. The resource consists of a lesson presentation with two examples. Students are then given three similar problems to answer and the worked solutions to these are included.
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.
Ratios Sharing Different Amounts
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Ratios Sharing Different Amounts

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This resource is for advanced KS4 students. The resource consists of a lesson presentation, including starter and worked solutions, and a worksheet of 3 questions. The lesson presentation seeks to teach students to answer a particular type of new GCSE question: combining two ratios where the amounts shared according to each ratio are different.
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.
Area to Money Contextual Problems
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Area to Money Contextual Problems

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This resource is for all KS4 students and teaches them how to tackle a common GCSE problem solving question. This lesson teaches students to tackle problems involving measuring an area, calculating the number of items such as tins or bags required and the cost of purchasing these items. The resource consists of a lesson presentation, a worksheet and a handout. The lesson presentation includes examples and fully worked solutions for the questions on the worksheet. The lesson is structured so that students start with easier two-stage problems involving finding area and then cost, before tackling the harder three-stage questions. The handout (HO) is a copy of the examples covered in the lesson and can be printed out for students to save them having to copy off the board.
Mutually exclusive events
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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.