This is a concept development lesson that is designed to assess how well students understand:

• Conditional probability
• Representing events as a subset of a sample space using tables and tree diagrams

A game has been devised where three white balls and three black balls are placed...

This is a concept development lesson that is designed to assess how well students understand:

• When conditional probabilities are equal for particular situations
• Representing events as a subset of a sample space using tables and tree diagrams
• Modelling using algebra

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This is a concept development lesson on interpreting data using frequency graph and box plots.

Eight frequency graphs are presented that show scores in tests. The frequency graphs must be matched with box plots.

There are pre-lesson and post-lesson formative assessment tasks. Detailed teacher notes...

This is a concept development lesson, designed to enhance how well students:

• Are able to use frequency graphs to identify a range of measures and make sense of data in a real-world context
• Understand that a large number of data points allows a frequency graph to be approximated by a continuous...

This resource features a task that involves interpreting functions that arise in practical situations.

Students are given the task of matching together worded descriptions, functions, and graphs. An example of a worded situations is a movie subscription where you get two movies free, but then you get charged...

This resource develops the concept of representing inequalities on a Cartesian coordinate grid. Students work with algebraic representations in a variety of formats and then shade the relevant areas.

An initial activity is to play a game ‘Hunting the target’. This involves students being given inequalities...

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...

This resource develops the concept of what the different algebraic forms of a quadratic function reveal about the properties of its graphical representation. Particular attention is paid to:

• How the factored form of the function can identify a graph’s roots.
• How the completed square form of...

This lesson develops the concept of using trigonometry to model a real-world situation. In particular students will:

• Model a periodic situation, the hight of a person on a Ferris wheel using trigonometric functions
• Interpret the constants a, b, c in the formula h = a + b cos ct in terms of the...

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Act 1

A map is shown of an area with a ring road, and also...

The aim of the route inspection problem is to find a route that is as short as possible yet goes down every road once and returns to the starting point. The task informs students that there has been a heavy snowfall overnight and that the students are required to clear the roads in the town centre as quickly as...

Artificial intelligence (AI) is a disruptive technology, meaning that it is significantly changing the way that people, businesses, and industry interact. To put it in context, the invention of the wheel, electricity, TV, and GPS are all disruptive technologies that changed the way in which society worked.

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A unit circle is marked off in equal arc lengths. The resulting points are joined back to a single point. The challenge is to find the products of the lengths of the chords drawn in each circle...

This activity allows students to investigate how images are produced from data streams by using first a spreadsheet and then an image-processing program. They then go on to see how the usefulness of such a monochromatic image may be enhanced by using lookup tables and calibration. The materials used focus on the...