# Secondary practice activities

Practice activities developed as part of the Secondary Numeracy Project. Each activity provides sufficient material for a group of students for around a week.

Whole Numbers   |    Fractions   |    Decimal Fractions   |    Percentages   |    Algebra   |    Geometry and Measurement   |    Statistics

## WHOLE NUMBERS

NA2-1: Use simple additive strategies with whole numbers and fractions.
Wall display Level 2    |   Subtraction in parts    |    Compatible numbers to ten    |   Compatible numbers to 20    |   Don’t Subtract – Add!

NA2-2: Know forward and backward counting sequences with whole numbers to at least 1000.
Hundreds Board

NA2-3: Know the basic addition and subtraction facts.
Compatible numbers to 20

NA2-4: Know how many ones, tens, and hundreds are in whole nummbers to at least 1000.
Rounding closest to   |    Compatible numbers to ten

NA3-1: Use a range of additive and simple multiplicative strategies with whole numbers, fractions, decimals, and percentages.
Wall Display Level 3   |  Adding in Parts   |  Don’t Subtract – Add!   |
Problems like 73 – 19    |   Equal additions   |   Number in Geometry    |  Revision of add-sub and mult-div domains   |   Revision of add-sub and mult-div 2    |   Strategic Solving Part I   |   Make ten algebra   |  Addition/subtraction strategies   |   Fun with Vertical Algorithms   |  Doing time

NA3-6: Record and interpret additive and simple multiplicative strategies, using words, diagrams, and symbols, with an understanding of equality.
Strategic Solving Part I   |   Adding in Parts

NA4-1: Use a range of multiplicative strategies when operating on whole numbers.
Number in Geometry    |   A little bit more/A little bit less    |   Doubling    |   Doubling and halving    |   Cross products    |   Revision of add-sub and mult-div domains    |   Revision of add-sub and mult-div 2   |   Addition/subtraction strategies    |   Multiple ways to add and subtract   |    Divide and Conquer

NA4-2: Understand addition and subtraction of fractions, decimals, and integers.
Adding in Parts    |   Addition/subtraction strategies    |   Number in Statistics    |   Using integer tiles    |   Strategic Solving Part III    |   Fun with Vertical Algorithms   |   Equal additions

NA4-7: Form and solve simple linear equations.
Strategic Solving Part III

NA 4-8 Generalise the properties of whole number multiplication and division.
Divide and Conquer    |   Seriesous Escape    |   Doubling and halving

NA5-2: Use prime numbers, common factors and multiples, and powers (including square roots).
Square numbers    |   The difference of two squares    |   Powers of numbers    |   Powers of investigations    |   Base 2 and complementary arithmetic

NA5-3: Understand operations on fractions, decimals, percentages, and integers.
Using integer tiles    |   Cross products    |   Body measurements    |   Base 2 and complementary arithmetic    |   Cut and paste algebra

NA5-4: Use rates and ratios.
Mixing colours    |   Body ratios    |   Seed packets    |   Ratios with whole numbers    |   Inverse Ratios    |   Doing time

NA6-2: Extend powers to include integers and fractions.
Powers of investigations

## FRACTIONS

NA2-1: Use simple additive strategies with whole numbers and fractions.
Fair shares    |   Fraction animals

NA2-5: Know simple fractions in everyday use.
Fair shares    |   Fraction wafers

NA3-1: Use a range of additive and simple multiplicative strategies with whole numbers, fractions, decimals, and percentages.
Adding and subtracting fractions    |   Comparing apples with apples 1    |    Birthday cakes    |    Fractional blocks    |   Fraction trains

NA3-5: Know fractions and percentages in everyday use.
Fraction circles    |   Paper folding fractions    |   Fraction trains

NA4-4: Apply simple linear proportions, including ordering fractions.
Simplifying fractions    |    Fraction circles    |    Feeding pets

NA4-7: Form and solve simple linear equations.
Strategic Solving Part IV

NA5-3: Understand operations on fractions, decimals, percentages, and integers.
Strategic Solving Part IV    |    Comparing apples with apples 2

NA5-5: Know commonly used fraction, decimal, and percentage conversions.
Hot shots 2

## DECIMAL FRACTIONS

NA3-1: Use a range of additive and simple multiplicative strategies with whole numbers, fractions, decimals, and percentages.
Decimal fractions of a set

NA3-4: Know how many tenths, tens, hundreds, and thousands are in whole numbers.
Place value practice (tenths)

NA4-2: Understand addition and subtraction of fractions, decimals, and integers.
Pipe music with decimal fractions    |   Place value practice (hundredths)    |   Jumping the number line – decimal fractions (hundredths)    |   Strategic Solving Part II    |   Compatible decimal fractions (tenths)    |   Decimal fractions - tenths

NA4-3: Find fractions, decimals, and percentages of amounts expressed as whole numbers, simple fractions, and decimals.
Place value practice (hundredths)    |   Wafers with decimal fractions    |

NA4-6: Know the relative size and place value structure of positive and negative integers and decimals to three places.
Place value practice (hundredths)

NA4-7: Form and solve simple linear equations.
Strategic Solving Part II

NA5-3: Understand operations on fractions, decimals, percentages, and integers.
Multiplication strategies

## PERCENTAGES

NA4-3: Find fractions, decimals, and percentages of amounts expressed as whole numbers, simple fractions, and decimals.
Hot shots 1    |   Equal additions

NA5-5: Know commonly used fraction, decimal, and percentage conversions.
Hot shots 2

## ALGEBRA

NA2-6: Communicate and intepret simple additive strategies, using words, diagrams (pictures), and symbols.
Compatible numbers to ten    |   Compatible numbers to 20

NA3-6: Record and interpret additive and simple multiplicative strategies, using words, diagrams, and symbols, with an understanding of equality.
Revision of add-sub and mult-div 2    |   Adding in Parts    |   Number in Geometry

NA3-8: Connect members of sequential patterns with their ordinal position and use tables, graphs, and diagrams to find relationships between successive elements of number and spatial patterns.
Decreasing differences

NA4-8: Generalise properties of multiplication and division with whole numbers.
Writing in words and symbols

NA4-9: Use graphs, tables, and rules to describe linear relationships found in number and spatial patterns.
Volume of cubes

NA5-8: Generalise the properties of operations with fractional numbers and integers.
Cut and paste algebra    |  The difference of two squares    |   Body measurements

NA5-9: Relate tables, graphs, and equations to linear and simple quadratic relationships found in number and spatial patterns.
Multiplicative sequences

NA6-6: Generalise the properties of operations with rational numbers, including the properties of exponents.
The difference of two squares

## GEOMETRY AND MEASUREMENT

GM3-1: Use linear scales and whole numbers of metric units for length, area, volume and capacity, weight (mass), temperature, angle, and time.
Doing time

GM4-1: Use appropriate scales, devices, and metric units for length, area, volume and capacity, weight (mass), temperature, angle, and time.
Doing time

GM4-3: Use side or edge lengths to find the perimeters and areas of rectangles, parallelograms, and triangles and the volumes of cuboids.
Volume of cubes

GM4-4: Interpret and use scales, timetables, and charts.
Doing time

GM4-6: Relate three-dimensional models to two-dimensional representations, and vice versa.
Volume of cubes

GM4-7: Communicate and interpret locations and directions, using compass directions, distances, and grid references.
Number in Geometry

GM5-1: Select and use appropriate metric units for length, area, volume and capacity, weight (mass), temperature, angle, and time, with awareness that measurements are approximate.
Body measurements

GM5-2: Convert between metric units, using decimals.
Body measurements