Activities table / Make Sense of Numbers to Solve Problems / Numeracy / The Learning Progressions / Home - Literacy and Numeracy for Adults

	Additive Strategies progressionread more	Multiplicative strategies progressionread more	Proportional reasoning progressionread more	Number sequence progressionread more	Place value progressionread more	Number facts progressionread more
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2.	Counting on and back Learners develop their understanding of addition and subtraction by counting on in ones to solve problems.	Skip-counting Learners develop their understanding of multiplication by skip-counting in twos, threes and fives to solve simple problems.		Numbers to 100 Learners order, read and write numbers to 100.	Introducing place value Learners develop the understanding that our number system is based on the number 10.	Addition and subtraction facts Learners develop strategies that will help them remember and recall the basic addition and subtraction facts.
3.	Addition and subtraction strategies 1 Learners develop addition and subtraction mental partitioning strategies for two-digit by one-digit problems.	Understanding multiplication Learners use already-known multiplication facts to develop quick recall of unknown facts. Deriving multiplication and division facts Learners extend their repertoire of multiplication and division facts by using already-known facts to derive unknown facts.		Understanding fractions 1 Learners develop an understanding of fractions by cutting, naming and ordering strips of paper.	Whole number place value Learners extend their understanding of place value by adding and subtracting 1, 10, 100 and 1,000 from whole numbers. Introducing place value Learners develop the understanding that our number system is based on the number 10.	Understanding multiplication Learners use already-known multiplication facts to develop quick recall of unknown facts. Deriving multiplication and division facts Learners extend their repertoire of multiplication and division facts by using already-known facts to derive unknown facts. Multiplication and division facts Learners develop strategies that will help them remember and recall the basic multiplication and division facts.
4.	Addition and subtraction strategies 2 Learners will use number lines to develop a variety of addition and subtraction partitioning strategies for multi-digit problems.	Division strategies Learners develop mental strategies for solving division problems with single-digit divisors. Multiplication strategies Learners develop mental strategies for solving multiplication problems with single-digit multipliers.	Fractions of numbers 1 Learners develop an understanding of how to find a fraction of a whole number where the answer is also a whole number. Ratios 1 Learners develop an understanding of simple ratios and learn to identify ratios for given quantities as well as quantities for given ratios.	Understanding fractions 3 Learners develop their understanding of fractions by cutting and sharing strips of paper. Understanding fractions 2 Learners order unit fractions using strips of paper.		Estimating facts Learners apply their basic multiplication facts to problems involving multiples of tens, hundreds, thousands.
5.	Adding decimals Learners use strategies, traditional written methods and calculators to solve addition problems that contain decimal fractions. Subtracting decimals Learners use strategies, traditional written methods and calculators to solve subtraction problems that contain decimal fractions.	Dividing options Learners use strategies, traditional written methods and calculators to solve division problems. Multiplying options Learners use strategies, traditional written methods and calculators to solve multiplication problems.	Fractions of numbers 2 Learners develop an understanding of how to find a fraction of a whole number where the answer may also be a fraction. Ratios 2 Learners develop an understanding of more complex ratios and explore the relationships between related ratios.		Connecting percentages decimals and fractions Learners explore the connections between percentages, decimals and fractions. Decimal number place value Learners develop their understanding of the place value system to include the decimal numbers tenths, hundredths and thousandths.	Connecting percentages decimals and fractions Learners explore the connections between percentages, decimals and fractions. Decimal number place value Learners develop their understanding of the place value system to include the decimal numbers tenths, hundredths and thousandths.
6.		Dividing with decimals Learners use estimation strategies and calculators to solve division problems involving decimals. Multiplying with decimals Learners use estimation strategies and calculators to solve multiplication problems involving decimals.	Rates and proportions Learners apply their understanding of ratios to rates and proportion problems.