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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
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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.
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.
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.
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.
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.
Solving Circular Linear Equations Graphs
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Solving Circular Linear Equations Graphs

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The 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. Students learn how to solve simultaneous equations where one is linear and the other that of a circle USING GRAPHS. (There is another version using algebra). The worksheet is structured. Students are first given both line and circle, then one or the other and finally neither.
Comparing Prices in Different Currencies
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Comparing Prices in Different Currencies

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The resource is for 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, with an emphasis on whether to multiply or divide by the exchange rate. The lesson then continues to cover problems where one or two prices have to be converted using exchange rates so that all prices can be compared in the same currency.
Shapes with Two Unknowns
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Shapes with Two Unknowns

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The resource is for KS4 students. It consists of a lesson presentation and worksheet. The presentation includes a starter, examples and worked solutions to the questions on the worksheet. The starter revises using perimeter and the sum of angles to form and solve equations to find unknowns. The lesson extends this topic by labeling angles and lengths with expressions with two unknowns. For instance, one pair of opposite sides of a rectangle are both expressions in x allowing the student to find the value of x. The other pair of sides of the rectangle are expressions in x and y, allowing the student to also find y. The worksheet has 10 questions involving both angles and sides and a variety of shapes.
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.
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.
KS4 Algebraic Proof Extension
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KS4 Algebraic Proof Extension

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This resource is for KS4 students and follows on from ‘KS4 Algebraic Proof’. There are two lesson presentations and two accompanying worksheet/handout. In this resource, 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 KS4’ with the accompanying worksheet. Work done in this lesson is then used in ‘4. Sometimes Always Never KS4’ with its accompanying activity.
Functional Problems with Curved Shapes
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Functional Problems with Curved Shapes

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This lesson is for advanced KS4 students. The resource consists of a lesson presentation and worksheet of 12 questions. The lesson presentation includes a starter and worked solutions to all the questions on the worksheet. The lesson starts with revision of finding the area and circumference of a circle. An example is given showing how to calculate the number of revolutions of the wheels of a bicycle as it travels a specified distance. The worksheet includes a number of similar questions involving wheels and cogs, a question involving a satellite in orbit and a number of questions involving athletics tracks, javelin pit and cricket fields.
Iterations
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Iterations

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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 proving that a root lies between two values of x. There is an optional exercise if students require more practice at this. Iteration is then explained and an example given. The worksheet asks students to do three iterations to find solutions to specified degrees of accuracy. Extension involves two iterations that don’t work and identifying the re-arranged equations that are equivalent to the equation to solve.
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.
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.
Comparing Measurements (Foundation)
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Comparing Measurements (Foundation)

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This resource is for strong KS3 and any KS4 student working towards the Foundation paper. (There is a harder version 'Comparing Measurements). 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