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Chris Barclay's Shop

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(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.
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.
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. .
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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