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Introduction to big data

A detailed presentation from Ben Houghton, data scientist at Barclays PLC. It is good introduction to Big Data and the three Vs (volume, variety and velocity). Other topics covered are machine learning and its use in fraud detection, legal and data privacy challenges and technology bottle necks caused by...

Evaluating statements about radicals

This lesson develops concepts relating to radicals. In particular, students will enhance their understanding of:

  • Use the properties of exponents, including rational exponents and manipulate algebraic statements involving radicals.
  • Discriminate between equations and identities.
    In this...

Meteorite investigators

In this lesson, students will investigate some of the meteorites and associated rocks in the loan box. They will test them for magnetism, do a visual analysis and measure their mass to calculate the densities of their items. This activity is particularly geared towards getting students to estimate the volume of the...

Trigonometric functions

This short task contains two questions on applying trigonometry.

The topics covered are:

  • Linking sine, cosine and tangent
  • Using Pythagoras to determine a length in a triangle and then give the tangent of an angle in surd form
  • Using the Pythagorean identity sin2(x) + cos2(x) = 1...

Calculating arcs and areas of sectors in circles

This lesson develops the concept of finding areas of sectors. In particular students will:

  • Find perimeters, areas, and arc lengths of sectors using formulas
  • Find the relationships between arc lengths, and areas of sectors after scaling
  • Using radians

The initial challenge...

Representing probabilities: medical testing

This is a problem solving lesson, intended to assess how well students are able to:

  • Understand and calculate the conditional probability of an event A, given an event B
  • Represent events as a subset of a sample space using tables, tree diagrams, and Venn diagrams

The problem is...

Dilution plant challenge

Students undertake a challenge which many chemical engineers working in industry face regularly, proving that the science learnt in the classroom is being used on a daily basis within chemical engineering industry, and that simple dilution calculations can be the difference between profit and loss for multinational...

An interesting pair of simultaneous equations

In this teacher presentation and collection of student worksheets a pair of simultaneous equations is given, one of which is non-linear. A second pair of similar simultaneous equations is given; that has the same solutions. Students are challenged to explain why.

Each student worksheet contains different...

What’s f(500)?

A function is defined so that f(xy) = f(x) + f(y) for all positive integers x and y. Students are given the value of f(10) and (40) and are challenged to determine the value of f(500).

In each student worksheet contains different values for f(10) and f(40) but for...

Wedged triangles

In this resource students are given an image of a reciprocal curve, y=k/x. Two tangents to the curve are used, together with the coordinate axes, to form an 'arrow head' quadrilateral under the curve. The challenge is to determine the area of the quadrilateral.

The first step towards solving the problem...

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