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Connected Level 4

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

Connected Geometry and Measurement, Level 4

A Sinking Feeling

ContextParticipating in a school boat floating competition.
MathematicsMeasurement: Calculating density by collecting, graphing and analyzing mass and volume data, and applying conclusions.
Cross CurriculumTechnology

The Great Marble Challenge

ContextMaking a ramp at the correct gradient such that a marble, when rolled, will travel down it and stop at a given distance.
MathematicsMeasurement/Statistics: Collecting measurement data, graphing variables on a dot plot and using results to inform a successful strategy.
Cross CurriculumScience

Learning from the Christchurch Earthquakes

ContextMeasuring earthquakes and their effects.
MathematicsMeasurement: Introduces the Richter magnitude scale (base-10 logarithmic scale), which assigns a magnitude number to quantify the size of an earthquake.
Cross CurriculumScience

Big Works Better

Connected Level 4, 2012: Oceans: A Source of Life, p.21
ContextAntarctic Animals: Penguins
MathematicsMeasurement: Surface-area: volume ratios are compared.
Cross CurriculumScience: Living World

Catch My Drift

Connected Level 4, 2012: Oceans: A Source of Life, p.7
ContextLiving organisms in the ocean
MathematicsGeometry: Students recognize the nature of the symmetry in diatoms from Ōamaru.
Cross CurriculumScience: Living World

Who’s eating who?

Connected Level 4, 2012: Oceans: A Source of Life, p.14
ContextBirds and animals of the ocean.
MathematicsMeasurement: Distances creatures travel and their body measurements are calculated. Comparisons are made.
Cross CurriculumScience: Living World

Helpful Immigrant

Connected 3, 2011: Border Security, Keeping New Zealand Pest and Disease Free, p.20
ContextReleasing helpful insects to control introduced weeds.
MathematicsMeasurement: Calculations are made of the annual spread and population of the helpful heather beetle, by using the relationship between the radius, circumference and area of a circle.
Cross CurriculumScience: Living World

It Seemed like a Good Idea at the Time

Connected 3, 2011: Border Security, Keeping New Zealand Pest and Disease Free, p.14
ContextThe curse of rabbits and mustelids (ferrets, weasels and stoats).
MathematicsMeasurement: The reader calculates the relationship between bodyweight of a predator and their prey.
Cross CurriculumScience: Living World

Where Shall We Put the Turbine?

Connected 3, 2010: Wind Power, p.16
ContextIdentifying the optimum site to locate wind turbines
MathematicsMeasurement: Readings from an anemometer (a device for measuring wind speed) are interpreted, and the relationship between kilowatt (kW) production and cost is explored.
Cross CurriculumScience: Physical World

Speed Freaks

Connected 3, 2009, p.20
ContextSpeed in the universe.
MathematicsMeasurement: A range of time and distance data is given and the relationship between speed and mass is introduced with Einstein’s equation E=mc2.
Cross CurriculumScience: Planet Earth and Beyond

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

The Right Beat

Connected 3, 2005, p.24
ContextStudents are preparing music for an Idol competition.
MathematicsMeasurement: As musical notation is presented, and each bar (in 4/4 time) is seen as a unit, the fraction and ratio relationships between each kind of note are explored.
Cross CurriculumThe Arts

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

How High is that Tree?

Connected 3, 2002, p.22
ContextThis is an explanation of why you don’t have to climb a tree to find out how tall it is.
MathematicsGeometry/Measurement: Triangles, measurement and scaling are explored in a practical context.
Cross CurriculumThe Arts

Mechanical Harry Makes a Map

Connected 3, 1999, p.2
ContextUsing triangulation to make can accurate map of a school playground.
MathematicsGeometry/Measurement: This practical task involves measuring distance in metres, measuring angles in degrees, recording bearings and using a scale to make a map.
Cross CurriculumTechnology

The Moon Illusion

Connected 3, 1999, p.9
ContextExploring the way in which a viewer’s perception of the size of the moon is affected by objects in the immediate environment.
MathematicsGeometry/Measurement: Using measurement and geometry to view and compare the size of the moon in its different locations in the sky.
Cross CurriculumScience: Planet Earth and Beyond

Unseamly Behaviour

Connected 3, 1998, p.2
ContextA fictional story about a princess and some cunning tailors.
MathematicsGeometry: Exploring and defining three-dimensional shapes by their faces, edges and vertices.
Cross CurriculumEnglish

A Circular Story

Connected 3, 1998, p.25
ContextA humorous fictional story about a circle and his shape friends.
MathematicsGeometry: The language and features of two and three-dimensional shapes are introduced for discussion.
Cross CurriculumEnglish

Hokey-pokey

Connected 3, 1998, p.28
ContextA recipe for hokey-pokey
MathematicsMeasurement: The reader must work out the quantity and cost of the ingredients of an amount of hokey-pokey sufficient for sale at a school fair.
Cross CurriculumScience: Material World

Connected Statistics, Level 4

The Great Marble Challenge

ContextMaking a ramp at the correct gradient such that a marble, when rolled, will travel down it and stop at a given distance.
MathematicsMeasurement/Statistics: Collecting measurement data, graphing variables on a dot plot and using results to inform a successful strategy.
Cross CurriculumScience

Training for Success

ContextAn athlete collects data to inform training and to improve performance.
MathematicsStatistics: Collecting measurements, graphing performance data, calculating means and evaluating results.
Cross CurriculumHealth and PE

Keep your cat inside

Connected Level 4, 2013: Are You Sure?, p.27
ContextYour cat: predator or pet?
MathematicsStatistical Literacy: Sample size, and the reliability and validity of evidence are examined within the context of two studies that gather data about the predation of domestic cats in Wellington and Dunedin.
Cross CurriculumScience: Living World

An Ecologist on Ice

Connected Level 4, 2013: Are You Sure?, p.10
ContextRoss Sea Adélie penguin population
MathematicsStatistical Literacy: In interpreting Adélie penguin population data, the computer model explores response and predictor variables, and helps to make sense of the birds’ responses to changes in their environment.
Cross CurriculumScience: Living World

Power Alternatives

Connected 3, 2010: Wind Power, p.24
ContextIdentifying energy sources in NZ and their costs
MathematicsStatistical Literacy: The reader interprets a pie graph and a line graph.
Cross CurriculumScience: Physical World

Making Decisions with Bubble Graphs

Connected 3, 2008, p.10
ContextMaking informed choices about school playground equipment.
MathematicsStatistical Investigations/Literacy: Data on year level suitability of equipment, costs, flexibility and popularity are presented on bubble graphs and on a table. The reader interprets and compares the displays, and is asked to make a decision.
Cross CurriculumHealth and PE

Down for the count

Connected 3, 2004, p.15
ContextThe close monitoring of the numbers of rare Māui’s dolphin is documented.
MathematicsStatistical Investigations/Literacy: Questions about the population data, the error rates, population modeling and conservation strategies, engage the reader in calculations of rates and averages.
Cross CurriculumScience: Living World

Beetle

Connected 3, 2002, p.28
ContextThe discovery of a huhu beetle prompts a game of beetle.
MathematicsProbability: Probability is explored in this story as the game of Beetle is played out.
Cross CurriculumScience: Living World

The Black Caps Make History

Connected 3, 2000, p.10
ContextThe 1999 NZ men’s cricket game defeats England at Lords for the first time in history.
MathematicsStatistical Investigations: Match data are given and performance is shown in line graph and on a histogram.
Cross CurriculumHealth and PE

In the Dark, Seeing the Clues

Connected 3, 1999, p.30
ContextA covert operations probability problem and cracking a number code
MathematicsProbability: Using a tree diagram to solve a probability problem, and logic to solve a code problem.
Cross CurriculumN/A