This lesson develops the concept of constructing triangles with given conditions. In particular students will:

• Recall and apply triangle properties
• Determine whether a set of given conditions for the measures of angle and/or sides of a triangle describe a unique triangle, more than one...

This resource develops the concept of substitution of integers, fractions, decimals, and directed numbers into inequality statements in order to test their validity. Students also represent inequalities algebraically and in words.

An initial question that students work on is representing the statement

This lesson develops the concept of reasoning about the properties of rational and irrational numbers. In particular, students will enhance their understanding of:

• Finding irrational and rational numbers to exemplify general statements.
• Reasoning with properties of rational and irrational...

This lesson develops the concept of reasoning about the properties of rational and irrational numbers. In particular, students will enhance their understanding of:

• Finding irrational and rational numbers to exemplify general statements.
• Reasoning with properties of rational and irrational...

This lesson develops the concept of area of a circle. In particular students will:

• Sketch and construct loci involving arcs of circles
• Calculate the area of a circle, given its radius
• Calculate the radius of a circle, given its area

The opening question is about a goat...

This resource develops the concept of manipulation and calculation with polynomials. Particular attention is paid to switching between algebraic and visual representations of polynomial expressions.  

Students focus on sequences generated from shading in parts of ‘dot’ diagrams. As an example, (n^2...

This lesson develops the concept of identifying similar triangles. In particular students will:

• Use facts about the angle sum and exterior angles of triangles to calculate missing angles
• Apply angle theorems to parallel lines cut by a transversal
• Interpret geometrical diagrams using...

This lesson develops the concept of percentage increase and decrease. In particular students will develop their understanding of:

• Translating between percentages, decimals, and fractions.
• Representing percent increase and decrease as multiplication.
• Recognizing the relationship...

In this activity, produced by ARKive, children learn about the concept of adaptation. They create and design a new species of mini-beast and learn how different species are adapted to survive in particular habitats. The activity could be undertaken in class or set as a homework activity. This creative activity is...

This lesson develops the concept of modelling linear and exponential growth. In particular students will enhance their understanding of:

• Translating between descriptive, algebraic, tabular, and graphical representation of the functions.
• Recognizing how and why a quantity changes per unit...

This lesson develops the concept of producing and evaluating geometrical proofs. In particular students work on:

• Interpreting diagrams
• Identifying mathematical knowledge relevant to an argument
• Linking visual and algebraic representations
• Producing and evaluating mathematical...

This lesson develops the concept of visualising two-dimensional cross-sections of representations of 3-dimensional objects.

The lesson begins by considering two cylindrical containers placed so that they make a right angle. Water flows from one cylinder to the other. Students consider the top view of the...

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

• Recognise and visualise transformations of 2D shapes
• Translate, reflect and rotate shapes, and combine these transformations
• Discuss some common misconceptions about transformations
...