# Connected Number and Algebra

## Connected Number and Algebra, Level 2

### Amazing Algorithms

Connected Level 2, 2018: Step by Step
ContextAlgorithms
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
ContextVolcanoes
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

### Snails

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

### Patterns

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

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
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
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