using the activities suggested to form the basis of independent practice tasks.For example, increase the complexity by using larger numbers for students who are able to count-on to solve problems. varying the complexity of the numbers used in the problem to match the number understanding of students in your class.encouraging students to work collaboratively in partnerships such as older or more skilled learners working with younger or less capable learners (tuakana/teina).The learning opportunities in this unit can be differentiated by providing or removing support to students and by varying the task requirements. The difficulty of tasks can be varied in many ways including: Through exploring both equality and inequality relationships, and the symbols used to express these, students develop an important and heightened awareness of the relational aspect of mathematics, rather than simply holding the computational view of mathematics that arises from the arithmetic emphasis that is dominant in many classrooms. The notation ≠, meaning ‘is not equal to’ is briefly introduced here as it is a useful, if infrequently used, relationship symbol.Īlgebra is the area of mathematics that uses letters and symbols to represent numbers, points and other objects, as well as the relationships between them. Whilst not introduced here, the symbols, ≤, meaning ‘is less than or equal to’, and, ≥, meaning ‘is greater than or equal to’, are known as ‘not strict’. These are expressed using the symbols,, which are said to show ‘strict’ relationships of inequality. Their relative value is described with specific language including ‘is greater than’, ‘is more than’, ‘is bigger than’ or ‘is less than ‘ or ‘is fewer than’. Inequality is the relationship that holds between two values when they are different. It is important for students to understand that symbols help us to express relationships between numbers and that equivalence is just one such relationship. The first relationship symbol that most students encounter is the equals symbol, =, which communicates a relationship of equivalence between amounts.
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