# 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.

102k+Views

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.

(1)
This lesson is for advanced KS4 students. It consists of a lesson presentation and a worksheet. The lesson presentation includes a starter, two exercises for the students to do before tackling the worksheet and worked solutions to the worksheet. The lesson starts by revising re-arranging inequalities. For the first exercise, students are given a quadratic graph and are asked to match solutions to the corresponding quadratic inequality. The second exercise is a matching exercise with students asked to match a quadratic inequality to a graph and solution, helped by first calculating the discriminant. This leads into examples of finding the solution to a quadratic inequality and a varied sample of questions for the students to do.

#### Solving Circular Linear Equations Graphs

(0)
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.

#### Bearings using Sine and Cosine Rule

(0)
This resource is for advanced KS4 students. It consists of a lesson presentation that includes a starter and worked solutions to the questions on the accompanying worksheet. Knowledge of Bearings, Sine Rule and Cosine Rule is assumed. The lesson teaches how to solve problems that require the application of the Sine and Cosine Rules. In particular, the focus is on Bearings problems that require application of one or other of the Rules. There is a problem involving a triangle whose sides are given as algebraic expressions and a problem where the three sides of the triangle are all tangents to a circle.

#### Transformation of Trigonometric Graphs

(0)
The resource is for KS4 students. It consists of a lesson presentation, a worksheet which includes a matching exercise and a handout with the three trig graphs. The presentation includes a starter and worked solutions to the worksheet. The lesson starts with a revision of the trig graphs and transformations. Four examples of transformations of trig graphs are given before students complete a matching exercise. Students are then asked to do an exercise in finding maximum and minimum values, an exercise finding where axes are intersected and then to sketch some transformed graphs.

#### Finding Equation of Exponential Graphs

(0)
The 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 starter involves solving equations where the unknown is a power of a number. The general form for the equation of the graph is introduced and an example given showing how the equation can be found from the coordinates of two points. The worksheet starts with similar questions including where the base is a fraction. There are other questions where the student has to complete the coordinates of a third point. The final question asks students to match graph and equation.

#### Mutually exclusive events

(0)
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.

#### Compound Quantities and Units

6 Resources
This bundle consists of 6 resources, all involving compound quantities such as speed, density and rate of flow. All the resources have been designed in response to changes under the new GCSE specification and new types of questions seen in the Higher papers. These changes include questions about two-stage journeys, the mixture of two liquids of different density and unit mismatches including the units for compound quantities.

#### Gradient of and Area under Graphs

(1)
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. .

#### Rate of Flow

(2)
This lesson is for KS4 students and teaches them to tackle problems involving rate of flow of a liquid, the volume of a liquid and time. The topic follows the model used to teach density and speed. The resource consists of a lesson presentation and worksheet. The lesson presentation consists of a starter, examples and worked solutions to all the questions on the worksheet. There are three exercises in the lesson with examples before each. The first exercise requires students to find the rate of flow, the second volume or time and the third exercise has more difficult contextual questions.

#### KS3 Geometric Proof

(0)
This resource looks at geometric proof for KS3 students. The resource consists of a lesson presentation, a worksheet and a handout showing the conditions for congruent triangles. The lesson presentation includes a starter, examples and worked solutions to the questions on the differentiated worksheet. Questions include the angles in regular polygons, the angles between diagonals, using parallel lines and a line of symmetry.

#### Timetables

(0)
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.

#### Surface Area of Composite Shapes

(0)
This resource is for advanced 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 lesson starts with a revision of the surface area for spheres, cylinders and cones. Students are then extended to learn how to find the surface area of shapes such as hemispheres, frustums and composite 3D shapes.

#### Functional Problems involving Area

(0)
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.

#### Iterations

(0)
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.

(0)
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.

#### Probabilities and Two-way tables

(0)
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.

#### KS3 Algebraic Proof

(0)
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.

#### Different Graphs in Real-life Contexts

(2)
The lesson is aimed at KS4 students who are wondering what relevance different types of graph have. The learning objective is for students to see that these graphs do have real-life meaning and that this helps them differentiate between the different types of graph.

#### Depth-time Graphs in Different Vessels

(11)
The lesson is aimed at low ability KS4 students, who struggle to construct or match a graph showing the depth of water against time as water flows at a steady rate into vessels of different shapes. The resource consists of a lesson presentation and a worksheet. The lesson presentation goes through the topic thoroughly. The worksheet gives a summary of the teaching, so that pupils don’t have to copy it down, and three questions. The lesson presentation also has a starter and worked solutions to the questions.

#### Speed-Time Graphs

(5)
This resource is for KS4 students taking the Higher paper. There is a lesson presentation that includes starters, examples and worked solutions. There are two matching exercises and the worksheet. There are two main parts to the lesson. The first is finding acceleration from the gradient. The starter revises the relationship between acceleration, speed and time and there is a matching exercise. The second part is finding the distance traveled from the area under the graph. There is a matching exercise for learning this. How to find both acceleration and distance from a curved graph is covered. There is a finally a differentiated worksheet.