Number Agility

Types of numbers deals with whole numbers, fractions, decimals, integers, exponents and roots. Working with various types of numbers begins with whole numbers in the early years and expands as students continue through the middle years.

Skill group	Skill descriptor	1	2	3	4	5	6	7	8	9	10	11	12
Recognizes numbers	Spoken	3	5	10	20	100	1000	10 000	100 000	1,000,000
							Fractions	Decimals		Mixed numbers	Positive integers	Square numbers	Whole number exponents
										Improper fractions	Negative integers	Cube numbers	Positive exponents
												Square roots
												Cube roots
	Written	3	5	10	20	100	1000	10 000	100 000	1,000,000	1 000 000	1 000 000
							Fractions	Decimals		Mixed numbers	Positive integers	Square numbers
										Improper fractions	Negative integers	Cube numbers
												Square roots
												Cube roots
Fractions	Identify fractions			Exist as ways to share			As parts of a whole		Equivalent fractions	Improper fractions
							As parts of a group			Mixed numbers
								With x/2 as a common denominator
								With x/3 as a common denominator
								With x/4 as a common denominator
								With x/5 as a common denominator
								With x/8 as a common denominator
								With x/8 as a common denominator
								With x/10 as a common denominator
								Using zero as a benchmark
								Using 1/2as a benchmark
								Using 1 as a benchmark
Rational and irrational numbers	Rational numbers											Square numbers	Exponents with varied bases
												Cube numbers
	Irrational numbers										Pi	Square roots
												Cube roots

(Sarama & Clements, 2023) (BC Numeracy Network ; J. Novakoski ; D. Lightbody, 2021)