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Chris Barclay's Shop

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(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.
Solving Linear Inequalities (Foundation)
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Solving Linear Inequalities (Foundation)

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This resource is for low ability KS4 students. It consists of a lesson presentation, a worksheet plus two handouts. One handout is a matching exercise for students. (IT NEEDS TO BE CUT UP!) The other handout is a summary of what students can and cannot do when solving linear inequalities. The lesson starts with revision of solving equations. The idea of the solution to an inequality being a range of values is then explained as well as how students can solve inequalities. There is a matching exercise where students re-build solutions that have been cut up before solving two-part inequalities. There are two further parts to the lesson: three-part inequalities and integer solutions. In each case, an example is given before students complete an exercise of questions.
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.
Solving Linear Inequalities
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Solving Linear Inequalities

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This resource is for KS4 students. It consists of a lesson presentation, a worksheet plus two handouts. One handout is a matching exercise for students. (IT NEEDS TO BE CUT UP!) The other handout is a summary of what students can and cannot do when solving linear inequalities. The lesson starts with revision of solving equations. The idea of the solution to an inequality being a range of values is then explained as well as how students can solve inequalities. There is a matching exercise where students re-build solutions that have been cut up before solving two-part inequalities. There are two further parts to the lesson: three-part inequalities and integer solutions. In each case, an example is given before students complete an exercise of questions.
Properties of Shapes using Algebra
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Properties of Shapes using Algebra

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The resource is for KS4 students. It consists of a lesson presentation and a worksheet. The example and questions involve using the sum of angles for a shape to form an equation, then to solve the angle, to substitute the solution into the expressions for angles and to then draw a conclusion from the angles of the shape.
Sample Spaces
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Sample Spaces

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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 questions. The starter asks students to number the possible outcomes from two events. The idea of using a table to represent the sample space is then introduced as is the ability to extract probabilities from the table. The first question on the worksheet is structured to lead students through the process. Subsequent questions are unstructured.
Volume to Money Contextual Problems
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Volume 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 a volume, calculating the number of items required and the cost of purchasing these items. The resource consists of a lesson presentation and a worksheet. 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 volume and then cost, before tackling the harder three-stage questions.
Hidden Simultaneous Equations
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Hidden Simultaneous Equations

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This resource is for KS4 students, who struggle with algebra. 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 lessons teaches students how to solve problems involving two shopping baskets and their costs. The questions are NOT turned into algebraic equations. Instead students are taught how to solve the problems through argument. The lesson is structured, starting with questions where one basket has only one sort of item and ending with questions where both baskets need to be multiplied.
Surface Area to Money Problems
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Surface Area to Money 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 a surface area, calculating the number of items required and the cost of purchasing these items. The resource consists of a lesson presentation and a worksheet. 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 surface area and then cost, before tackling the harder three-stage questions.
Missing Probabilities Exhaustive Events
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Missing Probabilities Exhaustive Events

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This resource is for KS4 students. The resource consists of a lesson presentation and a worksheet. the presentation includes worked solutions to the questions on the worksheet. The lesson revises finding missing probabilities and takes students into the concept of exhaustive and non-exhaustive events.
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.
Area of Curved Shapes
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Area of Curved Shapes

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This resource is for KS4 students. It consists of a lesson presentation and a worksheet. The lesson presentation consists of a starter and worked solutions to all the questions on the worksheet. The starter involves finding the area of a semi-circle and a quarter-circle. Students then find the area of more complex shapes by separating composite shapes into shapes with known formulae for their area or by subtracting the area of one shape from another.
Missing Observation from the Mean
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Missing Observation from the Mean

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This resource is for KS3 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 revises finding the mean from a set of observations. Students then learn how to find the missing observation using the mean that they are given. There are a couple of extension questions, including one for which students need to use all three averages to find a set of observations.
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.
Fraction and Percentage Discounts
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Fraction and Percentage Discounts

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This lesson is for KS4 students. Finding percentages and fractions of amounts are revised and then used to find the total costs of packages after fractional and percentage discounts have been subtracted. Worked solutions to the worksheet are included.
Deconstructing Frequency Tables to find Averages and Range
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Deconstructing Frequency Tables to find Averages and Range

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This lesson is for KS3 students. Before teaching students how to find the averages from frequency tables, I get them to deconstruct some tables, that is listing the raw data and using that raw data to find the averages and range. Worked solutions to the worksheet is included.
KS3 Algebraic Proof
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KS3 Algebraic Proof

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These two lessons are for capable KS3 students. Start with ‘1. Algebraic Proof Introduction’ and the accompanying handouts and then continue with ‘2. Algebraic Proof Multiples’ and its worksheet. Students are introduced to the idea of letting any number be n and to finding expressions for consecutive numbers, odd and even numbers. Students then find expressions for sums and products and finally learn how to prove that such an expression is a multiple of a specified number.
KS3 Algebraic Proof Extension
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KS3 Algebraic Proof Extension

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This resource follows on from ‘KS3 Algebraic Proof’. The resource consists of two lesson presentations and accompanying worksheets or handouts. The idea of algebraic proof is extended to include any two numbers and not just consecutive numbers. This is in the lesson ‘3. Any Two Numbers’ with the accompanying worksheet. Work done in this lesson is then used in ‘4. Sometimes Always Never’ with its accompanying activity. The lesson presentations contain worked solutions for all activities and questions.
Functional Problems involving Volume
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Functional Problems involving Volume

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The resource is for KS4 students. The resource consists of a lesson presentation and a worksheet. The lesson presentation includes examples and worked solutions to all the questions on the worksheet. The functional problems involving volume include stacking smaller boxes in a larger box, finding into which category packages fall and evaluating cost.
Linear and Quadratic Equations Graphs
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Linear and Quadratic Equations Graphs

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The lesson 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. Students learn how to solve simultaneous equations where one is linear and the other quadrilateral USING GRAPHS. (There is another version using algebra). The first question on the structured worksheet gives students both the straight line and a quadratic graph. Later questions expect students to draw the straight line graph.
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).