Understand rational numbers and make reasonable estimates Compute fluently and solve problems when working with rational numbers Begin to develop an understanding of irrational numbers
Conceptual Framework
relationships pattern, simplification in the context of Orientation in Time and Space
Statements of Inquiry
Relationships between numbers are the key to understanding our world
Factual
How can we represent numbers?
Conceptual
How do we work with numbers in different representations?
Debatable
What happens when mathematicians are unsuccessful?
Description
Students will understand that relationships between numbers can be generalised by observing patterns. The evolution of the decimal number system allows for simplified and efficient strategies for working with different representations of number.
Learning Outcomes
Define the terms odd, even, prime, composite, positive and negative
Use a diagram to show the relationships between the different types of numbers
Classify a number as natural, integer, rational, or real
Identify a prime number and use a test to determine whether or not a number is prime
Compare and order rational numbers and find their approximate location on the number line
Master understanding of absolute value and simplify expressions containing absolute value
Perform operations on real numbers
Use an estimation technique to judge the reasonable of results
Compute the square roots of numbers which are perfect squares and cubes
Begin to explore simplification of square root radicals by representing a number as a product of its prime factors
Understand and use the order of operations to simplify expressions
Understand that fractions, decimal and percentages are just different ways of thinking about proportions