Rational Numbers and Square Roots

Strand: Number
Outcomes: 3, 4, 5 and 6

Step 1: Identify Outcomes to Address

What do I want my students to learn?
What can my students currently understand and do?
What do I want my students to understand and be able to do, based on the Big Ideas and specific outcomes in the program of studies?

Strand: Number

Grade 8

Grade 9

Grade 10

Number

Specific Outcomes
1.	Demonstrate an understanding of perfect squares and square roots, concretely, pictorially and symbolically (limited to whole numbers).
2.	Determine the approximate square root of numbers that are not perfect squares (limited to whole numbers).
6.	Demonstrate an understanding of multiplying and dividing positive fractions and mixed numbers, concretely, pictorially and symbolically.
7.	Demonstrate an understanding of multiplication and division of integers, concretely, pictorially and symbolically.

Number

Specific Outcomes
3.	Demonstrate an understanding of rational numbers by: comparing and ordering rational numbers solving problems that involve arithmetic operations on rational numbers.
4.	Explain and apply the order of operations, including exponents, with and without technology.
5.	Determine the square root of positive rational numbers that are perfect squares.
6.	Determine an approximate square root of positive rational numbers that are non-perfect squares.

Algebra and Number

Specific Outcomes

Demonstrate an understanding of factors of whole numbers by determining the:

Demonstrate an understanding of irrational numbers by:

Between any two rational numbers there exists an infinite number of other rational numbers.
Procedures for operations with decimals, fractions and integers are used for operations with rational numbers.
The order of operations with whole numbers extends to exponents and can be applied to rational numbers.
Squaring a number and taking its square root are inverse operations.
Perfect squares and their square roots extend to rational numbers.
The square root of a rational number that is not a perfect square can be approximated as a decimal.