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 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 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 diagrammatic representations of calculations. Attention is paid to order of operations, along with the distributive and commutative properties.

An introductory activity considers areas of rectangles in relation to calculations, what is often termed ‘the grid method...

This is a concept development lesson that involves deepening understanding of how to calculate the mean, median, mode, and range from a frequency chart. Coverage is also given to using a frequency chart to describe a possible data set given information on the mean, median, mode and range.

The situation is...

This lesson develops the concept of using geometric properties to solve problems. In particular students develop their ability in:

• Solving problems by determining the lengths of the sides in right triangles using trigonometry
• Finding the measurements of shapes by decomposing complex shapes...

This lesson develops the concept of using Pythagoras’ theorem to derive the equation of a circle and translating between the geometric features of circles and their equations.

The initial activity involves looking at a circle with end points of the diameter at (6, 0) and (–6, 0). Questions relate to...

This activity, from the Institution of Engineering and Technology (IET), requires students to deconstruct a product, concept or design. The resource is designed to allow students to:

• understand that materials can be...

This lesson develops the concept of transformations. In particular students will:

• Describe in words the transformation that maps an object to a transformed image
• Given a geometric figure and a transformation, draw the transformed figure
• Describe transformations as algebraic functions...

This lesson develops the concept of converting between and ordering fractions, decimals, and percentages. The lesson uses area and linear models of fractions, decimals, and percentages to understand equivalence.

The main activity is a collaborative exercise. Students must collect together cards that show a...

This resource develops the concept of working with coordinates to interpret horizontal or vertical intervals on graphs.

Students are presented with two graphs. The first shows the number of sodas in a vending machine against time for Monday, the second shows the same information for Tuesday. Students are...

This lesson develops the concept of classifying relationships between two quantities. In particular, students will:

• Describe a ratio relationship between two quantities
• Compare ratios expressed in different ways
• Use proportional reasoning to solve a real-world problem

An...

This lesson develops the concept of making sense of the standard algorithms for addition, subtraction, multiplication, and division of positive integers. In particular students will work on the following areas:

• Improving conceptual understanding of why and how the algorithms work.
• Developing...

Produced by Gatsby Science Enhancement Programme, this activity helps students to consider how useful and informative article titles are.

During the activity, students:
* browse a scientific article.
* look for information such as the author, publication date and content of the abstract.
*...

In this lesson students will gain an understanding of timber seasoning (both naturally and artificially) to help reduce the moisture content. They will develop an understanding of the process of converting a log into lumber and timber conversion through video clips and diagrams. Exam style questions are included to...