# Connected Geometry and Measurement

## Connected Geometry and Measurement, Level 2

## Designer Homes | ||

Context | Designing a children’s playground. | |

Mathematics | Geometry: Students make a 3D model of an original playground design that is informed by survey data. | |

Cross Curriculum | Social Sciences and The Arts | |

## Designer HomesConnected Level 2, 2012: The Buzz of Bees, p.28 | ||

Context | Honey bees | |

Mathematics | Geometry: The features of regular 2D shapes are explored, squares are counted to calculate their area, and the tessellations of hexagons and circles are compared. | |

Cross Curriculum | Science: Living World | |

## Bumble BeesConnected Level 2, 2012: The Buzz of Bees, p.8 | ||

Context | Bees | |

Mathematics | Measurement: The body measurements of bumble bees and honey bees are compared. | |

Cross Curriculum | Science: Living World | |

## Investigating insulationConnected 1, 2010: Staying Warm and Keeping Cool, p.23 | ||

Context | A science experiment is undertaken to find the best material to trap heat. | |

Mathematics | Measurement: Students read and record temperatures at regular intervals. | |

Cross Curriculum | Science: Physical/Material World | |

## Heat ThievesConnected 1, 2010: Staying Warm and Keeping Cool, p.23 | ||

Context | Exploring conditions that effect our body temperature. | |

Mathematics | Measurement: Students read a wind-chill table, relating wind speed and air temperature. | |

Cross Curriculum | Science: Physical/Material World | |

## Monsters of the DeepConnected 1, 2009, p.2 | ||

Context | Squid | |

Mathematics | Measurement: The body measurements of different kinds of squid are presented for discussion. | |

Cross Curriculum | Science: Living World | |

## Te Papa’s Colossal SquidConnected 1, 2009, p.10 | ||

Context | The capture, preservation and examination of a colossal squid. | |

Mathematics | Measurement: A range of measurements (length, capacity, temperature, weight) of a colossal squid is presented for discussion. | |

Cross Curriculum | Science: Living World | |

## Bird LandConnected 1 and 2, 2008, p.8 | ||

Context | Fossils reveal the nature of some NZ creatures from the past. | |

Mathematics | Measurement: A limited number of time and measurement data are given and these can form the basis of discussion. | |

Cross Curriculum | Science: Living World | |

## Nailing it downConnected 1, 2006, p.20 | ||

Context | A father and son are building a wooden paling fence. | |

Mathematics | Measurement: A fence length is measured using metres and centimetres, and skip counting and multiplication are applied to solve a problem. | |

Cross Curriculum | Technology | |

## Centre StageConnected 1, 2005, p.20 | ||

Context | A school idol competition is being performed on a circular rotating stage. | |

Mathematics | Geometry: The full rotation of a circular disk is completed by 60 small turns. Quarter, half and three-quarter turns are explored with reference to this measure. | |

Cross Curriculum | The Arts | |

## Finding the Shapes in BuildingsConnected 1, 2002, p.30 | ||

Context | Geometric shapes are identified in photographs of buildings from different cultures. | |

Mathematics | Geometry: Two-dimensional and three-dimensional shapes are defined. | |

Cross Curriculum | The Arts and Technology | |

## Baby MathsConnected 1, 2001, p.12 | ||

Context | A short poem tells about a baby’s body. | |

Mathematics | Number/Geometry: The numbers in the poem highlight the body’s symmetry. | |

Cross Curriculum | English | |

## The Giant Who Needed a BedConnected 1, 2000, p.22 | ||

Context | The fictional story tells about a giant who accepts hospitality from the people of a village. | |

Mathematics | Measurement: It is inferred that body measurements can be calculated from the length of a footprint. | |

Cross Curriculum | English | |

## The Case of the 13-year-old GrandmotherConnected 1, 2000, p.28 | ||

Context | A teacher has a leap year birthday. | |

Mathematics | Number/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 Curriculum | Social Sciences | |

## Make a spinnerConnected 1, 1999, p.6 | ||

Context | Instructions are given to make a paper spinner. | |

Mathematics | Measurement: A circle, its diameter and radius are informally investigated in this practical task. | |

Cross Curriculum | Science: Physical World | |

## What do you see?Connected 1, 1998, p.12 | ||

Context | Optical illusions | |

Mathematics | Geometry: The length of lines on two trapeziums is compared. | |

Cross Curriculum | The Arts | |

## Clocks with a DifferenceConnected 1, 1998, p.14 | ||

Context | Time is shown in different ways on several unusual clocks. | |

Mathematics | Measurement: Digital and analogue time is explored in an unusual way. | |

Cross Curriculum | Technology | |

## How Do You Measure a Dinosaur?Connected 1, 1998, p.20 | ||

Context | A practical investigation into the actual size of Tyrannosaurus rex. | |

Mathematics | Measurement: A picture of a dinosaur is enlarged onto a grid using metre measures. | |

Cross Curriculum | Science: Living World | |

## Sun FactsConnected 1, 1998, p.6 | ||

Context | Sun facts | |

Mathematics | Measurement: Mathematical facts about the sun are presented for discussion. | |

Cross Curriculum | Science: Planet Earth and Beyond |

## Connected Geometry and Measurement, Level 3

## Pseudoscience | ||

Context | Carrying out investigations into pseudoscientific claims. | |

Mathematics | Measurement: Calculating and comparing areas in cm^{2} | |

Cross Curriculum | Health and PE | |

## Rising Seas | ||

Context | Exploring some practical implications of sea level changes. | |

Mathematics | Measurement: Measurement data over time is presented for discussion and comparison, within a meaningful context. | |

Cross Curriculum | Science and Social Sciences. | |

## Rebuilding Christchurch with Amazing Ideas | ||

Context | Designing buildings as part of the Christchurch rebuild. | |

Mathematics | Geometry: Exploring interlocking triangles, pentagons and hexagons in the process of making a cardboard geodesic dome. | |

Cross Curriculum | Technology and The Arts | |

## The Fish HighwayConnected Level 3, 2013: Food for Thought, p.23 | ||

Context | Fish populations in Wellington’s storm water system. | |

Mathematics | Statistical Literacy/Measurement: Fish scientist, Frances, undertakes snapshot surveys of fish populations. Her data inform the New Zealand Freshwater Fish Database. | |

Cross Curriculum | Science: Living World | |

## Building a WharenuiConnected 2, 2011: Structure, p.10 | ||

Context | Whakairo, tukutuku panels and kōwhaiwhai patterns | |

Mathematics | Geometry: The mathematics in a wharenui are highlighted in a study of the structural symmetry, reflections, rotations, and translations. | |

Cross Curriculum | Science: Material World and Social Sciences | |

## More than a BoxConnected 2, 2011: Structure, p.20 | ||

Context | Structural beams and braces in buildings | |

Mathematics | Geometry: The relationship between rectangles and triangles is explored. | |

Cross Curriculum | Science: Material World | |

## Plants that HealConnected 2, 2010: Working with Nature, p.18 | ||

Context | Exploring the medicinal properties of plants. | |

Mathematics | Number/Measurement: Readers follow a recipe to make natural ointment and calculate the profit from selling it. | |

Cross Curriculum | Science: Living World | |

## Double, Double, Toilet TroubleConnected 2, 2009, p.10 | ||

Context | Investigating infectious organisms | |

Mathematics | Measurement: The measurements are given for bacteria can be discussed. | |

Cross Curriculum | Science: Living World | |

## The Finishing TouchConnected 2, 2007, p.27 | ||

Context | A mother and daughter are redecorating a rumpus room. | |

Mathematics | Number/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 Curriculum | The Arts and Technology | |

## The Big RaceConnected 2, 2006, p.28 | ||

Context | A grandfather shares the race results that led to his successful swimming career in his youth. | |

Mathematics | Number/Measurement: Distance, analogue and digital time, and speed can be explored using swimming race results. | |

Cross Curriculum | Health and PE | |

## Time ZonesConnected 2, 2004, p.22 | ||

Context | A New Zealand boy wants to phone his Mum who is at a wedding in Italy. He and his Dad work out what time it will be. | |

Mathematics | Measurement: Time zones are explained within the text and with reference to a model world globe. | |

Cross Curriculum | Social Sciences | |

## Hair, There, and EverywhereConnected 2, 2003, p.2 | ||

Context | This is an adaptation of the fictional story Rapunzel. | |

Mathematics | Number/Measurement: Problems are posed with reference to table that relates different hair lengths to their dollar values. | |

Cross Curriculum | English | |

## Make a Decorative IcosahedronConnected 2, 2002, p.19 | ||

Context | Practical instructions are given for making a cardboard icosahedron. | |

Mathematics | Geometry/Measurement: The student is shown how to find the centre of a circle, draw the radius, three arcs, and an equilateral triangle, as part of the process of creating an icosahedral decoration. | |

Cross Curriculum | Technology | |

## Flatland: A Journey into the World of Two DimensionsConnected 2, 2002, p.28 | ||

Context | In this fictional play, travellers go on a return journey from a three-dimensional world to one of two dimensions. | |

Mathematics | Geometry: The differences between two-dimensional and three-dimensional shapes are explored within the context of this play. | |

Cross Curriculum | English | |

## Magic MuffinsConnected 2, 2001, p.3 | ||

Context | Mrs Minty is making muffins. | |

Mathematics | Number/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 Curriculum | Social Sciences | |

## Samoan Siapo PatternsConnected 2, 1999, p.28 | ||

Context | Instructions are given for making Samoan siapo patterns. | |

Mathematics | Geometry: Reflection, rotational symmetry and translations can be explored in this task. | |

Cross Curriculum | The Arts |

## 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 |