## Connected Number and Algebra, Level 4

## Back to the Drawing BoardConnected 3, 2007, p.2 | ||

Context | Perspective drawing | |

Mathematics | Number/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 Curriculum | The Arts | |

## Kynan’s Positive and Negative AdventuresConnected 3, 2006, p.26 | ||

Context | A student manages the practicalities and finances associated with starting up and running his own holiday pet care business. | |

Mathematics | Number/Financial Literacy: Problems involving positive and negative numbers are solved with the help of red and black bean counters. | |

Cross Curriculum | Social Sciences | |

## Who Wants to Be a Billionaire?Connected 3, 2003, p.18 | ||

Context | A play in which a fictional factory has invented machines for counting Hundreds and Thousands (confectionary). | |

Mathematics | Number: Place value and the relationships between very large numbers can be further explored using the play as a springboard for discussion. | |

Cross Curriculum | N/A | |

## Shrinking the Solar SystemConnected 3, 2003, p.22 | ||

Context | The journey of the Cassini space probe prompts a Wellington school to make an outdoor scale model of the solar system. | |

Mathematics | Number/Measurement: Calculations are made to systematically scale down very large kilometre distances and to make scale models of the planets. | |

Cross Curriculum | Science: Planet Earth and Beyond | |

## The Chain Goes OnConnected 3, 2001, p.30 | ||

Context | A girl receives a chain letter. | |

Mathematics | Number/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 Curriculum | English | |

## Alien ComputerConnected 3, 1999, p.18 | ||

Context | A play in which a class of students work out how an alien computer functions. | |

Mathematics | Algebra: A function machine generates number patterns for which rules must be stated. | |

Cross Curriculum | English | |

## What’s the Score?Connected 3, 1999, p.32 | ||

Context | Points scored by teams in rugby games. | |

Mathematics | Number: Three problems are posed exploring multiple combinations of single digit amounts. | |

Cross Curriculum | Health and PE | |

## Seeing Behind Your BackConnected 3, 1998, p.29 | ||

Context | A practical ‘How many are left’ problem is presented with three piles of matches. | |

Mathematics | Algebra: The reader is challenged to apply algebraic reasoning to work out why the result is always 9. | |

Cross Curriculum | N/A |

## Connected Geometry and Measurement, Level 4

## A Sinking Feeling | ||

Context | Participating in a school boat floating competition. | |

Mathematics | Measurement: Calculating density by collecting, graphing and analyzing mass and volume data, and applying conclusions. | |

Cross Curriculum | Technology | |

## The Great Marble Challenge | ||

Context | Making a ramp at the correct gradient such that a marble, when rolled, will travel down it and stop at a given distance. | |

Mathematics | Measurement/Statistics: Collecting measurement data, graphing variables on a dot plot and using results to inform a successful strategy. | |

Cross Curriculum | Science | |

## Learning from the Christchurch Earthquakes | ||

Context | Measuring earthquakes and their effects. | |

Mathematics | Measurement: Introduces the Richter magnitude scale (base-10 logarithmic scale), which assigns a magnitude number to quantify the size of an earthquake. | |

Cross Curriculum | Science | |

## Big Works BetterConnected Level 4, 2012: Oceans: A Source of Life, p.21 | ||

Context | Antarctic Animals: Penguins | |

Mathematics | Measurement: Surface-area: volume ratios are compared. | |

Cross Curriculum | Science: Living World | |

## Catch My DriftConnected Level 4, 2012: Oceans: A Source of Life, p.7 | ||

Context | Living organisms in the ocean | |

Mathematics | Geometry: Students recognize the nature of the symmetry in diatoms from Ōamaru. | |

Cross Curriculum | Science: Living World | |

## Who’s eating who?Connected Level 4, 2012: Oceans: A Source of Life, p.14 | ||

Context | Birds and animals of the ocean. | |

Mathematics | Measurement: Distances creatures travel and their body measurements are calculated. Comparisons are made. | |

Cross Curriculum | Science: Living World | |

## Helpful ImmigrantConnected 3, 2011: Border Security, Keeping New Zealand Pest and Disease Free, p.20 | ||

Context | Releasing helpful insects to control introduced weeds. | |

Mathematics | Measurement: 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 Curriculum | Science: Living World | |

## It Seemed like a Good Idea at the TimeConnected 3, 2011: Border Security, Keeping New Zealand Pest and Disease Free, p.14 | ||

Context | The curse of rabbits and mustelids (ferrets, weasels and stoats). | |

Mathematics | Measurement: The reader calculates the relationship between bodyweight of a predator and their prey. | |

Cross Curriculum | Science: Living World | |

## Where Shall We Put the Turbine?Connected 3, 2010: Wind Power, p.16 | ||

Context | Identifying the optimum site to locate wind turbines | |

Mathematics | Measurement: Readings from an anemometer (a device for measuring wind speed) are interpreted, and the relationship between kilowatt (kW) production and cost is explored. | |

Cross Curriculum | Science: Physical World | |

## Speed FreaksConnected 3, 2009, p.20 | ||

Context | Speed in the universe. | |

Mathematics | Measurement: 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 Curriculum | Science: Planet Earth and Beyond | |

## Back to the Drawing BoardConnected 3, 2007, p.2 | ||

Context | Perspective drawing | |

Mathematics | Number/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 Curriculum | The Arts | |

## The Right BeatConnected 3, 2005, p.24 | ||

Context | Students are preparing music for an Idol competition. | |

Mathematics | Measurement: 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 Curriculum | The Arts | |

## Shrinking the Solar SystemConnected 3, 2003, p.22 | ||

Context | The journey of the Cassini space probe prompts a Wellington school to make an outdoor scale model of the solar system. | |

Mathematics | Number/Measurement: Calculations are made to systematically scale down very large kilometre distances and to make scale models of the planets. | |

Cross Curriculum | Science: Planet Earth and Beyond | |

## How High is that Tree?Connected 3, 2002, p.22 | ||

Context | This is an explanation of why you don’t have to climb a tree to find out how tall it is. | |

Mathematics | Geometry/Measurement: Triangles, measurement and scaling are explored in a practical context. | |

Cross Curriculum | The Arts | |

## Mechanical Harry Makes a MapConnected 3, 1999, p.2 | ||

Context | Using triangulation to make can accurate map of a school playground. | |

Mathematics | Geometry/Measurement: This practical task involves measuring distance in metres, measuring angles in degrees, recording bearings and using a scale to make a map. | |

Cross Curriculum | Technology | |

## The Moon IllusionConnected 3, 1999, p.9 | ||

Context | Exploring the way in which a viewer’s perception of the size of the moon is affected by objects in the immediate environment. | |

Mathematics | Geometry/Measurement: Using measurement and geometry to view and compare the size of the moon in its different locations in the sky. | |

Cross Curriculum | Science: Planet Earth and Beyond | |

## Unseamly BehaviourConnected 3, 1998, p.2 | ||

Context | A fictional story about a princess and some cunning tailors. | |

Mathematics | Geometry: Exploring and defining three-dimensional shapes by their faces, edges and vertices. | |

Cross Curriculum | English | |

## A Circular StoryConnected 3, 1998, p.25 | ||

Context | A humorous fictional story about a circle and his shape friends. | |

Mathematics | Geometry: The language and features of two and three-dimensional shapes are introduced for discussion. | |

Cross Curriculum | English | |

## Hokey-pokeyConnected 3, 1998, p.28 | ||

Context | A recipe for hokey-pokey | |

Mathematics | Measurement: 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 Curriculum | Science: Material World |

## Connected Statistics, Level 4

## The Great Marble Challenge | ||

Context | Making a ramp at the correct gradient such that a marble, when rolled, will travel down it and stop at a given distance. | |

Mathematics | Measurement/Statistics: Collecting measurement data, graphing variables on a dot plot and using results to inform a successful strategy. | |

Cross Curriculum | Science | |

## Training for Success | ||

Context | An athlete collects data to inform training and to improve performance. | |

Mathematics | Statistics: Collecting measurements, graphing performance data, calculating means and evaluating results. | |

Cross Curriculum | Health and PE | |

## Keep your cat insideConnected Level 4, 2013: Are You Sure?, p.27 | ||

Context | Your cat: predator or pet? | |

Mathematics | Statistical 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 Curriculum | Science: Living World | |

## An Ecologist on IceConnected Level 4, 2013: Are You Sure?, p.10 | ||

Context | Ross Sea Adélie penguin population | |

Mathematics | Statistical 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 Curriculum | Science: Living World | |

## Power AlternativesConnected 3, 2010: Wind Power, p.24 | ||

Context | Identifying energy sources in NZ and their costs | |

Mathematics | Statistical Literacy: The reader interprets a pie graph and a line graph. | |

Cross Curriculum | Science: Physical World | |

## Making Decisions with Bubble GraphsConnected 3, 2008, p.10 | ||

Context | Making informed choices about school playground equipment. | |

Mathematics | Statistical 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 Curriculum | Health and PE | |

## Down for the countConnected 3, 2004, p.15 | ||

Context | The close monitoring of the numbers of rare Māui’s dolphin is documented. | |

Mathematics | Statistical 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 Curriculum | Science: Living World | |

## BeetleConnected 3, 2002, p.28 | ||

Context | The discovery of a huhu beetle prompts a game of beetle. | |

Mathematics | Probability: Probability is explored in this story as the game of Beetle is played out. | |

Cross Curriculum | Science: Living World | |

## The Black Caps Make HistoryConnected 3, 2000, p.10 | ||

Context | The 1999 NZ men’s cricket game defeats England at Lords for the first time in history. | |

Mathematics | Statistical Investigations: Match data are given and performance is shown in line graph and on a histogram. | |

Cross Curriculum | Health and PE | |

## In the Dark, Seeing the CluesConnected 3, 1999, p.30 | ||

Context | A covert operations probability problem and cracking a number code | |

Mathematics | Probability: Using a tree diagram to solve a probability problem, and logic to solve a code problem. | |

Cross Curriculum | N/A |