In this resource students deal with an optimisation problem involving perimeter and area based on a Greek mythological story about a princess. She wants to maximise the area contained in a given perimeter and decides on a circle. The concept of the Isoperimetric...

The UNESCO Sourcebook for Science in the Primary School, published by UNESCO in 1992, is a book of 272 pages for teacher educators and primary teachers. The material is designed for use in pre-service or in-service courses for teachers and for individual study and reference. It uses a workshop approach, promoting...

This lesson develops the concept of adding and subtracting directed numbers. The activities address common misconceptions about the addition and subtraction of directed numbers. Students explain their reasoning using diagrams.

The activities use the ‘charge’ model of directed numbers. For example, a diagram...

This is a concept development lesson that is designed to help students to:

• Overcome common misconceptions about probability
• Count equally likely outcomes using diagrams
• Discuss relationships between theoretical probabilities, observed outcomes and sample sizes

...

This lesson develops the concept of using the properties of exponents. In particular students will:

• Recall and use the properties of exponents to generate equivalent numeric expressions.
• Identify the appropriate property to use and apply it correctly.
• Check the numerical value of an...

This resource develops the concept of solving equations where the unknown appears once or more than once.

Students are given the equation

x = 6

and then told that the value of x could have been derived from the equation

3x =  2x + 6

Students are then construct their own equation...

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...

This lesson develops the concept of calculating the volume of compound objects. In particular, students enhance their understanding of:

• Computing measurements using formulas.
• Decomposing compound shapes into simpler ones.
• Using right triangles and their properties to solve real-world...

This resource develops the concept of exploring the relationship between the slopes of parallel and perpendicular lines. There is a particular focus on finding lines that are parallel and perpendicular by using their equations. The work extends into identifying and using intercepts.

Students are presented...

This lesson develops the concept of distinguishing between rational and irrational numbers. In particular, students will enhance their ability in:

• Classifying numbers as rational or irrational.
• Moving between different representations of rational and irrational numbers.

 An...

This resource develops the concept of interpreting speed as the slope of a linear graph. There is also work on translating between the equation of a line and its graphical representation.

Students consider a graph drawn to model the flow between two identical right rectangular prisms. There are subsequent...

This lesson develops the concept of direct proportion and its application to problems. The works addresses the following problems that students might have:

• Use of inappropriate additive strategies in scaling problems.
• Inefficient strategies such as not using a single multiplier for solving...

This resource develops the concept of a mathematical understanding of slope. This is done through linking students’ intuitive understandings of steepness to a more precise mathematical calculation of slope.

The resource begins by presenting students with four cards showing line segments, and a further four...

This lesson develops the concept of naming and classifying quadrilaterals according to their properties. Students identify the minimal information required to define a quadrilateral. They sketch quadrilaterals with given conditions.

During the first part of the lesson students choose from the words ‘all’, ‘...