Resources
Evaluating statements about length and area
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...
Evaluating Statements about Length and Area SS4
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....
Evaluating statements about number operation
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
...Evaluating Statements about Number Operations N2
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,...
Evaluating statements about probability
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...
Evaluating statements about radicals
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...
Evaluating statements about rational and irrational numbers
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...
Evaluating statements about rational and irrational numbers
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...
Evaluating statements: consecutive sums
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...
Evaluating the Definite Integral of a Polynomial
The mathematical solution explains how to use calculus to find the definite integral of an expression. The first step is to write the expression using index form using, where appropriate, negative indices. The expression is then integrated and the limits used to evaluate the value of the integral.
The...