
Numeracy Development
Books Name
Click to download individual assessment sheets for Form A (PDF, 175KB), Form B (PDF, 226KB), or Form C (PDF, 289KB)
Click for class grouping sheets Stages 04 (PDF, 43KB), or Stages 58 (PDF, 50KB)
Support material (PDF, 830KB)has been developed to use alongside Books Five and Six.
materials_masters/
Materials Masters
Equipment Animations
Counting 
Fingers: Shows how fingers can be used to solve simple addition sums.
Number Strip: Shows how the Number Strip can be used to model subtraction.
Bead Strings: Shows how Bead Strings can be used to develop skip counting and counting on.
Number Fans: Shows how Number Fans can be used to develop number identification.
Arrow Cards: Shows how Arrow cards can be linked to place value equipment.
Flip Strip: Shows how the flip strip can be used to help learn 'numbers after'.
Number Strip 2: Shows how the Number Strip can be used to demonstrate counting on to solve multiplication problems.
Beans: Shows how materials such as beans or counters can be used to model twodigit numbers.
Place Value Houses: Shows how Place Value Houses can be used to help students read multidigit numbers.
Counters in Containers: Shows how containers and counters can be used to develop counting on.
Numeral Cards: Shows how numeral cards can be used to practise ordering numbers.
Calculators: Shows how calculators can be used to develop skip counting.
Counters for Addition: Shows how Counters can be used to illustrate solving addition problems.
Number Strip 3: Shows how a number strip and transparent counters can be used to illustrate countingon to solve addition problems.
Number Strip 4: Shows how a number strip and transparent counters can be used to illustrate countingback to solve subtraction problems.
Beans and Regions: Shows how beans and regions can be used to demonstrate the equal sharing strategy for fractions of a set. 
Additive 
Tens Frames: Shows how Tens Frames can be used to aid students in 'bridging to ten'.
Bead Frame 2: Shows how the Bead Frame can be used to help illustrate decade splits in 100.
Bead Frame 3: Shows how the Bead Frame can be used to help illustrate splits in 100.
Fly Flips: Shows how Fly Flip Strips can be used to develop addition facts with five.
Animal Strips: Shows how Animal Strips can be used to develop partwhole strategies for adding over the tens.
Open Number Lines: Shows how Open Number Lines can be used to illustrate single digit addition using decades.
Open Number Lines 2: Shows how Open Number Lines can be used to illustrate subtraction with compensation.
Pop Sticks: Shows how pop sticks can be used to develop the 'make a ten' strategy in twodigit addition.
Calculators 2: Shows how calculators can be used to support estimating when adding.
Animal Strips 3: Shows how Animal Strips can be used to introduce addition facts to ten.
Animal Strips 4: Shows how Animal Strips can be used to support learning doubles to 20.
Bead Frame Tens: Shows how the Beadframe can be used to help recognise the number of 10s in hundreds numbers.
Beans and Icecream Containers: Shows how beans and icecream containers can be used to demonstrate subtraction with compensation.
Double Sided Counters: Shows how Double Sided Counters can be used to support learning groupings to five.
Number Lines 2: Shows how number lines can be used to round whole numbers.
Tens Frames: Shows how tens frames can be used to help students learn the facts to 10. 
Multiplicative 
Bead Frame: Shows how the Bead Frame can be used to derive unknown multiplication facts from known facts.
Pipe Decimals: Shows how Pipe Decimals can be used to develop understanding of decimal place value.
Ice Cream Numbers:
Shows how Ice Cream containers and place value material can be used to
encourage students to use friendly numbers to solve multiplication
problems.
Happy Hundred: Shows how the happy hundred can be used to derive single digit multiplication facts.
Multilink 1: Shows how multilink cubes can be used to aid derivation of multiplication facts.
Cuisenaire Rods: Shows how cuisenaire rods can be used to illustate fractions greater than 1.
Multilink 2: Shows how multilink cubes can be used to illustrate fraction concepts.
Multilink 3: Shows how multilink cubes can be used to teach decimals.
Mystery Stars: Shows how Mystery Stars can be used to relate fractions of a set to the whole.
Beans 2: Shows how Beans can be used to explore equivalent fractions.
Number Lines: Shows how numberlines can be used to illustrate rounding of decimals.
Animal Strips 2: Shows how Animal Strips can be used to solve multiplication problems.
Folding Fractions: Shows how paper folding can be used to develop student understanding of equivalent fractions.
Multiplication Arrays: Shows how arrays can be used to develop partitioning strategies for doubledigit multiplication.
Multiplication Arrays 2: Shows how arrays can be used to develop students' understanding of the standard algorithm for multiplication.
Open Double Number Lines: Shows how unlabelled double number lines can be used to explore ordering of fractions.
Calculators 3: Shows how calculators can be used to support estimating when multiplying.
Fraction Circles: Shows how fraction circles can be used to help students rename fractions.
Beans and Containers: Shows how beans and containers can be used to develop place value partitioning for multiplication.
Arrow Cards 2: Shows how arrow cards can be used to help students order decimal numbers.
Fraction Wall: Shows how a fraction wall can be used to help develop students' understanding of equivalent fractions.
Decimats 1: Shows how Decimats can be used to develop an understanding of the relationship between tenths and hundredths.
Decimats 2: Shows how Decimats can be used to help students understand recording of decimal numbers.
Decimats 3: Shows how Decimats can be used to develop an understanding of the addition and subtraction of decimals.
Fraction Wall 2: Shows how a fraction wall can be used to compare and order fractions.
Bead Frame Tenths: Shows how the Beadframe can be used to help recognise the number of tenths in ones numbers.
Hills and Dales Addition with Integers: Uses Hills and Dales to illustrate integer addition.
Hills and Dales Subtraction with Integers 1: Shows one way to model subtraction of integers.
Hills and Dales Subtraction with Integers 2: Shows a second way to model subtraction of integers.
Multilink Cubes: Shows how the multilink cubes can be used to represent square and cube numbers.
Animal Strips 5: Shows how animal strips can be used to model division problems.
Bead Frame 5: Shows how the Bead Frame can be used to show multiplication with 10s 100s and 1000s.
Bead Frame 6: Shows how the Bead Frame can be used to show multiples of 100 that add to 1000.
Fraction Wall 3: Shows how a fraction wall can be used to show addition of fractions. 
Proportional 
Bead Frame 4: Shows how the Bead Frame can be used to help illustrate the relationship between fractions and percentages.
Flow Diagrams: Shows how flow diagrams can be used to help understand discounts and markups.
Double Number Lines: Shows how double number lines can be used to solve ratio problems.
Circle Fractions: Shows how circle fractions can be used to rename improper fractions as mixed numerals.
Fraction Tiles: Shows how fraction tiles can be used to explore division involving fractions.
Beans 3: Shows how Beans can be used to find proportions in a given set.
Percentage Strips: Shows how Percentage Strips can be used to help students understand percentage problems.
Multilink 4: Shows how multilink cubes can be used to simplify ratios.
Percentage Strips 2: Shows how Percentage Strips can be used to help students understand that percentages are like a fraction out of 100.
Double Numberlines: Shows how Double Numberlines can be used to solve problems which involve finding a fraction of a number.
Double Numberlines 2: Shows how Double Numberlines can be used to solve problems which involve finding a percentage of a number.
Decimats 4: Shows how Decimats can be used to develop an understanding of the multiplication of decimals.
Decimats 5: Shows how Decimats can be used to develop an understanding of the division of decimals.
Rotating Region: Shows how the Rotating Region can be used to develop an understanding of fraction/percentage equivalents.
Beans and Counters: Shows
how beans and counters can be used to help understand the difference
between part to part ratios and part to whole ratios.
Strips of Paper: Shows how strips of paper can be used to compare ratios.
Counters for Ratios: Shows how counters can be used to show addition of ratios. 
Problem Solving
This section of the nzmaths website provides you with problemsolving lessons that you can use in your maths programme. The lessons provide coverage of Levels 1 to 6 of The New Zealand Curriculum.
The lessons contained in this site are organised by level and curriculum strand. Accompanying each lesson is a copymaster of the problem in English and in Māori.
The site also includes Problem Solving Information.. This provides you with practical information about how to implement problem solving in your maths programme as well as some of the philosophical ideas behind problem solving.

