In this resource from the DfE Standards Unit students learn to make valid generalisations about the effect of operations on directed numbers. It is helpful if students have already attempted to use directed quantities in contexts (e.g. money or temperature) before
attempting this session. In this session,...

In this resource from the DfE Standards Unit, students discuss and clarify some common misconceptions about probability. This involves discussing the concepts of equally likely events, randomness and sample sizes. They will also learn to reason and explain. This session assumes that learners have encountered...

In this DfE Standards Unit resource, students explore the relationship between linear and area enlargement, substitute into algebraic statements and discuss some common misconceptions about enlargement. Students will have covered some aspects of enlarging shapes before, but they may not have explored the...

In this resource from the DfE Standards Unit, students learn to understand concepts of length and area in more depth, revise the names of plane shapes, develop reasoning through considering areas of plane compound shapes and construct their own examples and counter-examples to help justify or refute conjectures....

In this resource from the DfE Standards Unit, students learn to understand the properties of number operations, substitute integers, fractions, decimals and negative numbers into statements and equations in order to test their validity and address common misconceptions about the effect of addition, subtraction,...

This lesson develops the concepts of:

• Finding perimeters, areas, and volumes using formulas.
• Finding relationships between perimeters, areas, and volumes of shapes after scaling.

There are three initial questions to consider that deal with:

• The perimeter of a circle...

This lesson develops the concepts of length and area. Particular attention is given to proving why two areas are or are not equal.

The lesson begins with three questions regarding area that students must classify as ‘sometimes, always, or never true’. An example is ‘if you join the midpoints of the opposite...

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 is a concept development lesson that is designed to assess how well students understand the concepts of:

• Equally likely events
• Randomness
• Sample size

The central theme of the lesson is to address common misconceptions relating to probability. The main activity is to...

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...

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 resource requires problem solving using skills in forming and factorising expressions.

Students investigate the sum of four consecutive numbers. Initially this is done using numerical examples. There are a series of statements for students to classify as ‘sometimes true’, ‘always true’, or ‘never true...

These videos guide you through the process of evaluating the impact of changes you make to teaching approaches in your classroom. The evaluation approaches described here will enable you to tell whether new approaches are more effective than what they have replaced. You'll be able to make evidence-informed...