Teaching Numeracy using the NZMaths approach

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 0-4 (PDF, 43KB), or Stages 5-8 (PDF, 50KB)

Support material (PDF, 830KB)has been developed to use alongside Books Five and Six.

 

materials_masters/

Materials Masters

Number Name
Material Master 4-1 Numeral Cards
Material Master 4-2 Flip Strip
Material Master 4-3 Large Numerals
Material Master 4-4 Hundreds Board
Material Master 4-5 Fly Flips
Material Master 4-6 Ten Frames
Material Master 4-7 Thousands Book
Material Master 4-8 Large Number Lines
Material Master 4-9 Money
Material Master 4-10 Fan Numbers
Material Master 4-11 Place Value Houses
Material Master 4-12 Empty Number Lines
Material Master 4-13 Number Mat
Material Master 4-14 Arrow Cards
Material Master 4-15(a) Keyboard - Whole Numbers
Material Master 4-15(b) Keyboard - Decimals
Material Master 4-16 Multiplication Madness
Material Master 4-17 Loopy
Material Master 4-18 Fan Number Decimal Point
Material Master 4-19 Fraction Pieces
Material Master 4-20 Fractions on Geoboards
Material Master 4-21 Decimal Fraction Mat
Material Master 4-22 Fraction Bingo Boards
Material Master 4-23 Number Line on a Tape
Material Master 4-24 Class Decimal Number Lines
Material Master 4-25 Blank Decimal Number Line
Material Master 4-26 Swedish Rounding Number Lines
Material Master 4-27 Fraction Grid
Material Master 4-28 Fractions/Decimals/Percentages
Material Master 4-29 Add/Sub Flash Cards
Material Master 4-30 Decimal Number Lines
Material Master 4-31 Decimal Number Line Flipstrips
Material Master 4-32 Place It
Material Master 4-33 Double Somersaults
Material Master 4-34 Bridges
Material Master 4-35 Number Boggle
Material Master 4-36 Hundreds Board Snakes
Material Master 4-37 Mult/Div Flash Cards
Material Master 4-38 Bills
Material Master 4-39 Hills and Dales
Material Master 4-40 Linear Invaders
Material Master 4-41 Integer Coverup
Material Master 5-1 Number Strip
Material Master 5-2 Animal Strips
Material Master 5-3 Up or Down
Material Master 5-4 Before and After
Material Master 5-5 Dice Groups
Material Master 5-6 Caterpillar Legs
Material Master 5-7 Feed the Elephants
Material Master 5-8 Birthday Cake
Material Master 5-9 Murtles 5 and...
Material Master 5-10 Facts to Ten
Material Master 5-11 Match It Up
Material Master 5-12 Number Lines
Material Master 5-13 Mental or Working Form?
Material Master 6-1 Number Strips (1-100)
Material Master 6-2 Multiplication Or Out
Material Master 6-3 Multiplication Loopy
Material Master 6-4 Fly Flip Multiplication
Material Master 6-5 The Happy Hundred
Material Master 6-6(a) 4 in a Row Multiplication
Material Master 6-6(b) Multiplication Roundabout
Material Master 6-7 Metamorphosis 
Material Master 6-8 Divided loyalty 
Material Master 6-9 Large Dotty Array
Material Master 6-10 Factor Leapfrog
Material Master 7-1 Chocalate Chip Cheesecake
Material Master 7-2 Decimal Arrow Cards
Material Master 7-3 Decimats
Material Master 7-4 Percentage Strips
Material Master 7-5 Percents
Material Master 7-6 Rotating Region
Material Master 7-7 Fraction strips
Material Master 7-8 Mystery stars
Material Master 7-9 Create three
Material Master 7-10 Spreadsheet
Material Master 7-11 Similar Triangles
Material Master 7-12 Trigonometric Ratio Table
Material Master 8-1 Checking +/- by Estimating
Material Master 8-2 Reversals with x/÷
Material Master 8-3 Checking x by Estimating
Material Master 8-4 Checking ÷ by Estimating
Material Master 8-5 Order of Operations
Material Master 8-6 Doubling and Halving
Material Master 8-7 Pacman
Material Master 8-8 Grid - 2cm
Material Master 8-9 Equivalent Fractions
Material Master 8-10 Double Number Lines
Material Master 8-11 Whole Number Rounding
Material Master 8-12 Confusing Fractions
Material Master 8-13 Sieve of Eratosthenes
Material Master 8-14 Rounding Decimals
Material Master 8-15 When Big gets Smaller
Material Master 8-16 When Small gets Bigger
Material Master 8-17 Estimating x/÷ Decimals
Material Master 8-18 Calculating Percentage Changes
Material Master 8-19 Estimating Percentages 
Material Master 8-20 Percentage in Two Steps
Material Master 8-21 Percentage in One Step
Material Master 8-22 Table of Squares
Material Master 8-23 Locating Square Roots
Material Master 8-24 Divisibility Tests
Material Master 8-25 Multiplication of Decimal Fractions
Material Master 8-26 Addition/Subtraction of Fractions
Material Master 8-27 Ratios with Whole Numbers
Material Master 8-28 Comparing by Finding Rates
Material Master 8-29 Sharing in Ratios
Material Master 8-30 Inverse Ratios
Material Master 8-31 Flowcharts
Material Master 8-32 Reverse Percentage Problems
Material Master 8-33 50% On / 50% Off
Material Master 8-34 Ten by Ten Grid
Material Master 9-1 Numerals 0-10
Material Master 9-2 Paper Ruler
Material Master 9-3 Pattern Sheets
Material Master 9-4 Numbers at Work
Material Master 9-5 How Many Reds
Material Master 9-6 Two Coins
Material Master 9-7 Drawing Pin
Material Master s-1 Deci-trails
Material Master s-2a Proportional Puzzles
Material Master s-2b Proportional Puzzles
Material Master s-2c Proportional Puzzles
Material Master s-3 Fractional Numberlines
MM s-3 (Word)

 

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 two-digit numbers.
Place Value Houses:  Shows how Place Value Houses can be used to help students read multi-digit 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 counting-on to solve addition problems.
Number Strip 4:  Shows how a number strip and transparent counters can be used to illustrate counting-back 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 part-whole 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 two-digit 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 double-digit 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 mark-ups.
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 problem-solving 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.