Rate of Flow

Rate of Flow

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.
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Gradient of and Area under Graphs

Gradient of and Area under Graphs

This is for high achieving KS4 students. 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 th erelationship 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. . The worksheet is extensive and the powerpoint has worked solutions for all questions on it.
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Surface Area of Cuboids (Foundation version)

Surface Area of Cuboids (Foundation version)

THIS LESSON REQUIRES 1 SMALL CEREAL PACKET PER PAIR OF PUPILS COSTING AROUND £3 FOR 8 PACKETS. This lesson is for KS3 students and for KS4 students planning to take the Foundation paper. 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. Included are solutions to all questions asked of students.
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Probability Problems involving Algebra

Probability Problems involving Algebra

This lesson is for middle to high ability KS4 students. It teaches them how to use algebra to solve probability problems where there is an unknown. There are worked solutions tot he questions on the worksheet.
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Games of Profit and Loss

Games of Profit and Loss

This lesson is for high ability KS4 students. It teaches students to calculate the expected profit from games of chance such as 'The Crown and Anchor'. Worked solutions are given to all questions on the differentiated worksheet.
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Perimeter of Curved Shapes

Perimeter of Curved Shapes

This lesson is for KS4 students, who learn how to find the perimeter of shapes with curved sides. Worked solutions to the worksheet are included.
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Surface Area of Composite and Other Shapes

Surface Area of Composite and Other Shapes

This lesson is for capable KS4 students. It 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.
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Listing Outcomes

Listing Outcomes

This lesson teaches KS4 students to list possible outcomes. Worked solutions to the worksheet are included.
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Mutually exclusive events

Mutually exclusive events

This lesson is for KS4 students. It introduces the concept of mutually exclusive events. Worked solutions to the worksheet are included.
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KS3 Geometric Proof

KS3 Geometric Proof

This lesson looks at geometric proof for KS3 students. Worked solutions to the questions on the differentiated worksheet are included. Questions include the angles in regular polygons, the angles between diagonals, using parallel lines and a line of symmetry.
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KS3 Algebraic Proof

KS3 Algebraic Proof

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.
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Trigonometry as Similar Right-angled Triangles

Trigonometry as Similar Right-angled Triangles

This is a series of three lessons looking at the application of trigonometry to right-angled triangles. The trigonometric functions are represented as the ratios of lengths of sides in similar right-angled triangles. Start with 'Similar-Shapes-2-Trig-I' and continue with 'II' and 'III'.
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Area of Composite Shapes

Area of Composite Shapes

This lesson is for KS4 students. It starts with finding the area of shapes made of two rectangles and continues to composite shapes involving other shapes. Worked solutions to the worksheet are included.
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Recurring Decimals

Recurring Decimals

This lesson is for KS4 students taking the Higher paper. Students learn how to convert recurring decimals into fractions. Worked solutions to the questions on the worksheet are included.
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Exponential Growth and Decay

Exponential Growth and Decay

This lesson is for high ability KS4 students. It starts by introducing exponential graphs. It moves on to introducing practical problems involving exponential growth and decay. Worked solutions to all questions on the worksheet are included.
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Area of Curved Shapes

Area of Curved Shapes

This lesson is for KS4 students, who learn how to find the area of shapes with curved sides. Worked solutions to the worksheet are included.
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