Number Agility

Understandings of number relationships including comparing, ordering, composing and decomposing are built upon at all levels. Beginning with simple inequalities in the early years to ratios, rates and percentages in the middle years students continually expand on their ability to use number relationships to understand quantities.

Skill group	Skill descriptor	1	2	3	4	5	6	7	8	9	10	11	12
Composition and decomposition	Composes numbers to___ in many ways using objects		4	5	10	100	1 000	10 000	100 000	1 000 000
	Composes numbers to___ in many ways using pictures		4	5	10	100	1 000	10 000	100 000	1 000 000
	Compose numbers to____ using numerals and mathematical notation				10	100	1 000	10 000	100 000	1 000 000
	Uses base 10 blocks to compose numbers to ___ in many ways				20	100	1000
	Decomposes numbers to___ in many ways using objects		4	5	10	100	1 000	10 000	100 000	1 000 000
	Decomposes numbers to___ in many ways using pictures		4	5	10	100	1 000	10 000	100 000	1 000 000
	Decompose numbers to____ using numerals and mathematical notation				10	100	1 000	10 000	100 000	1 000 000
	Uses base 10 blocks to decompose numbers to ___ in many ways				20	100	1000
	Composes numbers to___ in many ways using objects							1 decimal place	3 decimal places	4 decimal places
								2 decimal places
	Composes numbers to___ in many ways using pictures							1 decimal place	3 decimal places	4 decimal places
								2 decimal places
	Compose numbers to____ using numerals and mathmatical notation							1 decimal place	3 decimal places	4 decimal places
								2 decimal places
	Decomposes numbers to___ in many ways using objects							1 decimal place	3 decimal places	4 decimal places
								2 decimal places
	Decomposes numbers to___ in many ways using pictures							1 decimal place	3 decimal places	4 decimal places
								2 decimal places
	Decompose numbers to____ using numerals and mathematical notation							1 decimal place	3 decimal places	4 decimal places
								2 decimal places
Comparing and ordering – base 10 numeration	Compares quantities to	3	5	10	20	100	1 000	10 000	100 000	1 000 000
	Compare pairs of numbers to a maximum number of ___ using inequalities notation (greater than/ less than / equal to)				20	100	1 000	10 000	100 000	1 000 000
	Compare groups of numbers to a maximum number of ___ using inequalities notation (greater than/ less than / equal to)					100	1 000	10 000	100 000	1 000 000
	Uses place value to compare numbers				10	100	1000	10 000	100 000	1 000 000	1 000 000
	Uses place value to order numbers				10	100	1000	10 000	100 000	1 000 000	1 000 000
	Order numbers to ___				20	100	1 000	10 000	100 000	1 000 000
	Place numbers to ___ on a number line					100	1 000	10 000	100 000	1 000 000
	Uses benchmarks to compare and order numbers				10	25	100	1000	10 000	100 000
						50	500	5000	50 000	500 000
	Compare pairs of numbers to a maximum number of ___ using inequalities notation (greater than/ less than / equal to)							1 decimal place	3 decimal places	4 decimal places
								2 decimal places		Decimal places
	Compare groups of numbers to a maximum number of ___ using inequalities notation (greater than/ less than / equal to)							1 decimal place	3 decimal places	4 decimal places
								2 decimal places		Decimal places
	Order numbers to ___							1 decimal place	3 decimal places	4 decimal places
								2 decimal places		Decimal places
	Place numbers to ___ on a number line							1 decimal place	3 decimal places	4 decimal places
								2 decimal places		Decimal places
	Compare pairs of numbers to a maximum number of ___ using inequalities notation (greater than/ less than / equal to)										Positive and negative integers
	Compare groups of numbers to a maximum number of ___ using inequalities notation (greater than/ less than / equal to)										Positive and negative integers
	Order numbers to ___										Positive and negative integers
	Place numbers to ___ on a number line										Positive and negative integers
Comparing and ordering – fractions	Compares fractions to benchmarks							0	1/4
								1/2	3/4	/2
								1
	Orders fractions on a number line							With like and unlike denominators	Improper fractions	Mixed numbers
	Compare pairs of numbers to a maximum number of ___ using inequalities notation (greater than/ less than / equal to)							With like and unlike denominators	Improper fractions	Mixed numbers
	Compare groups of numbers to a maximum number of ___ using inequalities notation (greater than/ less than / equal to)							With like and unlike denominators	Improper fractions	Mixed numbers
Using fractions											Convert between fractions and decimals	Simplifying fractions
												Proportional sharing based on changing group size
Ratios and Percentages	Represent ratios using									Pictures
										Objects
										Numerals
										Fractions
										Decimals
	Represent percentages using									Pictures
										Objects
										Numerals
										Fractions
										Decimals
	Comparing and ordering										Compare ratios using inequalities notation
											Order ratios
											Compare percentages using inequalities notation
											Order percentages
	Use of ratios and percentages											Two and three term ratios
												Use in mechanics
												Use in architecture
												Percentage increase
												Percentage decrease
Equivalency	Fractions							Equivalent fractions	Equivalent improper fractions	Mixed numbers	Fractions to ratios
											Fractions to percentages
	Decimals							Fraction tenths to decimal tenths		Ratio tenths to decimal tenths	Decimals to ratios
								Fraction hundredths to decimal hundredths		Ratios hundredths to decimal hundredths	Decimals to percentages

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