Connected Number and Algebra

Connected Number and Algebra, Level 2

Amazing Algorithms

Connected Level 2, 2018: Step by Step
MathematicsAlgebra: Using step by step instructions to solve number problems.
Cross CurriculumTechnology

Busy Bees

Connected Level 2, 2012: The Buzz of Bees, p.9
ContextHoney bees
MathematicsNumber: Students calculate honey-producing rates of, and distances travelled by, honey bees.
Cross CurriculumScience: Living World

Living with a Volcano

Connected 1, 2011: Rūaumoko Rages, p.28
MathematicsNumber: The number of passengers grounded at Heathrow Airport, as a result of a volcanic eruption in Iceland, is calculated from data.
Cross CurriculumScience: Physical World

Finding Friday

Connected 1, 2007, p.26
ContextA classroom is kept tidy by sorting and counting classroom materials.
MathematicsNumber: Stage 5 number strategies are applied to practical classroom tasks.
Cross CurriculumKey competencies

Multiplication Monday

Connected 1, 2004, p.2
ContextStudents look for number patterns about them in the school grounds and the classroom.
MathematicsNumber: A connection is developed between skip counting and multiplication.
Cross CurriculumN/A

A Bird’s breakfast

Connected 1, 2004, p.8
ContextFictional birds are catching worms and sharing worm segments fairly.
MathematicsNumber: Division problems posed and these are supported by precise drawings that show the numbers in each problem. Connections are made between fractions, division and multiplication.
Cross CurriculumScience: Living World

The Monster Birthday Party

Connected 1, 2003, p.2
ContextA monster mother is providing party food for young monsters and ensuring it is fairly shared.
MathematicsNumber: Simple division problems are posed within the context of sharing different kinds of party food.
Cross CurriculumN/A

Out of Step

Connected 1, 2002, p.26
ContextThis is a fictional story about three animals that escape from a zoo and are being pursued.
MathematicsAlgebra: Problems posed in the story require the reader to continue different sequential patterns and explore relationships between them.
Cross CurriculumEnglish

Baby Maths

Connected 1, 2001, p.12
ContextA short poem tells about a baby’s body.
MathematicsNumber/Geometry: The numbers in the poem highlight the body’s symmetry.
Cross CurriculumEnglish


Connected 1, 2001, p.14
ContextA boy earns money by removing unwanted snails from his father’s garden.
MathematicsNumber: Place value is explored through collections of ten snails, each of which is worth ten cents.
Cross CurriculumScience: Living World

The Case of the 13-year-old Grandmother

Connected 1, 2000, p.28
ContextA teacher has a leap year birthday.
MathematicsNumber/Measurement: The multiplicative relationship between the number of leap years and the number of actual years is represented and explored with a double number line.
Cross CurriculumSocial Sciences

Numbers, Numbers Everywhere

Connected 1, 2000, p.30
ContextNumbers are found in many real life situations.
MathematicsNumber: Readers are encouraged to recognize where we find numbers in our daily lives and how they help us.
Cross CurriculumSocial Sciences

Eggs in the Nest

Connected 1, 1999, p.8
ContextA game for two players
MathematicsNumber: Single digit subtraction strategies are investigated.
Cross CurriculumN/A

My Amazing Plant

Connected 1, 1999, p.9
ContextA plant is growing quickly in a glasshouse.
MathematicsNumber: Doubling and halving are investigated.
Cross CurriculumScience: Living World

Racehorse Rhyme

Connected 1, 1999, p.29
ContextA rhyme, a riddle and a joke.
MathematicsNumber: This is a play on single digit number words.
Cross CurriculumEnglish


Connected 1, 1999, p.30
ContextPhotographs of patterns made with physical objects.
MathematicsAlgebra: Pattern attributes of size, shape and colour are identified and recorded on a chart.
Cross CurriculumN/A

A Number Grid Game

Connected 1, 1998, p.26
ContextA Number Grid Game
MathematicsNumber: This game involves the consecutive addition of 21 single digit numbers.
Cross CurriculumN/A

Connected Number and Algebra, Level 3

Plants that Heal

Connected 2, 2010: Working with Nature, p.18
ContextExploring the medicinal properties of plants.
MathematicsNumber/Measurement: Readers follow a recipe to make natural ointment and calculate the profit from selling it.
Cross CurriculumScience: Living World

The Finishing Touch

Connected 2, 2007, p.27
ContextA mother and daughter are redecorating a rumpus room.
MathematicsNumber/Algebra/Measurement: Simple decimal length measurements are added, and multiplication and division strategies are applied to a practical patterning problem, suitable for students at numeracy stage 6-7.
Cross CurriculumThe Arts and Technology

The Big Race

Connected 2, 2006, p.28
ContextA grandfather shares the race results that led to his successful swimming career in his youth.
MathematicsNumber/Measurement: Distance, analogue and digital time, and speed can be explored using swimming race results.
Cross CurriculumHealth and PE

Pond Puzzler

Connected 2, 2005, p.24
ContextA puzzle involving frogs hopping onto lily pads, is presented.
MathematicsNumber: The reader is challenged to find a strategy to solve a frog-hopping problem and be the first to have three frogs in a row.
Cross CurriculumKey competencies

Split personalities

Connected 2, 2003, p.27
ContextLarge amounts of cash are paid to a fictional youthful band of performers, who should share the money fairly.
MathematicsNumber: The story includes an opportunity to explore place value.
Cross CurriculumN/A

Hair, There, and Everywhere

Connected 2, 2003, p.2
ContextThis is an adaptation of the fictional story Rapunzel.
MathematicsNumber/Measurement: Problems are posed with reference to table that relates different hair lengths to their dollar values.
Cross CurriculumEnglish

Magic Muffins

Connected 2, 2001, p.3
ContextMrs Minty is making muffins.
MathematicsNumber/Measurement: Problems relating numbers of muffins and the costs of ingredients in decimals, involve the use of the four number operations and a range of strategies.
Cross CurriculumSocial Sciences

Number Hospital

Connected 2, 2000, p.12
ContextA play in which the characters are defined by their mathematical characteristics, and in which clever puns entertain.
MathematicsNumber/Algebra: This play explores prime numbers, place value with 2-digit and 3-digit numbers, exponential growth, and the four number operations.
Cross CurriculumEnglish

Miss Mind-reader

Connected 2, 2000, p.27
ContextA think-of-a-number problem is posed.
MathematicsNumber/Algebra: The digits in multiples of 9 are explored.
Cross CurriculumN/A

Multiplication Magic

Connected 2, 2000, p.30
ContextFinger patterns for the 9 times table.
MathematicsNumber/Algebra: Number patterns, beginning with the 9 times table, are investigated.
Cross CurriculumN/A

The Bubblegum Machine

Connected 2, 1999, p.20
ContextThis is a fictional story of a little girl in a bubblegum factory.
MathematicsNumber: Place value in 2-digit and 3-digit numbers is explored.
Cross CurriculumN/A

The Playful Frogs

Connected 2, 1999, p.30
ContextA puzzle involving frogs hopping onto lily pads.
MathematicsNumber: The reader is challenged to find a strategy to solve a frog-hopping problem and to decide if the frogs can change places.
Cross CurriculumKey competencies

Money Game

Connected 2, 1998, p.16
ContextA board game using counters, dice, a pencil and paper.
MathematicsNumber: The four number operations are applied to amounts of money less than $20.
Cross CurriculumN/A

Eight Coins

Connected 2, 1998, p.9
ContextAdding values of NZ coins.
MathematicsNumber/Algebra: A problem is posed requiring the reader to explore addends and sums of NZ coin values.
Cross CurriculumN/A

Nine Lemons

Connected 2, 1998, p.20
ContextA story about selling lemons
MathematicsNumber: Working with amounts of money less than $10.
Cross CurriculumEnglish

Connected Number and Algebra, Level 4

Back to the Drawing Board

Connected 3, 2007, p.2
ContextPerspective drawing
MathematicsNumber/Measurement/Geometry: Single-point perspective, the relationship between perspective and ratio, and two-point perspective are explored, requiring the application of a broad range of stage 7 and 8 strategies involving fractions, proportions and ratios.
Cross CurriculumThe Arts

Kynan’s Positive and Negative Adventures

Connected 3, 2006, p.26
ContextA student manages the practicalities and finances associated with starting up and running his own holiday pet care business.
MathematicsNumber/Financial Literacy: Problems involving positive and negative numbers are solved with the help of red and black bean counters.
Cross CurriculumSocial Sciences

Who Wants to Be a Billionaire?

Connected 3, 2003, p.18
ContextA play in which a fictional factory has invented machines for counting Hundreds and Thousands (confectionary).
MathematicsNumber: Place value and the relationships between very large numbers can be further explored using the play as a springboard for discussion.
Cross CurriculumN/A

Shrinking the Solar System

Connected 3, 2003, p.22
ContextThe journey of the Cassini space probe prompts a Wellington school to make an outdoor scale model of the solar system.
MathematicsNumber/Measurement: Calculations are made to systematically scale down very large kilometre distances and to make scale models of the planets.
Cross CurriculumScience: Planet Earth and Beyond

The Chain Goes On

Connected 3, 2001, p.30
ContextA girl receives a chain letter.
MathematicsNumber/Algebra: The likelihood of the chain letter recipient receiving a specified amount of money is demonstrated with a tree diagram, and calculated using exponents.
Cross CurriculumEnglish

Alien Computer

Connected 3, 1999, p.18
ContextA play in which a class of students work out how an alien computer functions.
MathematicsAlgebra: A function machine generates number patterns for which rules must be stated.
Cross CurriculumEnglish

What’s the Score?

Connected 3, 1999, p.32
ContextPoints scored by teams in rugby games.
MathematicsNumber: Three problems are posed exploring multiple combinations of single digit amounts.
Cross CurriculumHealth and PE

Seeing Behind Your Back

Connected 3, 1998, p.29
ContextA practical ‘How many are left’ problem is presented with three piles of matches.
MathematicsAlgebra: The reader is challenged to apply algebraic reasoning to work out why the result is always 9.
Cross CurriculumN/A