Te Kete Ipurangi
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# Connected Geometry and Measurement

## Connected Geometry and Measurement, Level 2

### Designer Homes

ContextDesigning a children’s playground.
MathematicsGeometry: Students make a 3D model of an original playground design that is informed by survey data.
Cross CurriculumSocial Sciences and The Arts

### Designer Homes

Connected Level 2, 2012: The Buzz of Bees, p.28
ContextHoney bees
MathematicsGeometry: 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 CurriculumScience: Living World

### Bumble Bees

Connected Level 2, 2012: The Buzz of Bees, p.8
ContextBees
MathematicsMeasurement: The body measurements of bumble bees and honey bees are compared.
Cross CurriculumScience: Living World

### Investigating insulation

Connected 1, 2010: Staying Warm and Keeping Cool, p.23
ContextA science experiment is undertaken to find the best material to trap heat.
MathematicsMeasurement: Students read and record temperatures at regular intervals.
Cross CurriculumScience: Physical/Material World

### Heat Thieves

Connected 1, 2010: Staying Warm and Keeping Cool, p.23
ContextExploring conditions that effect our body temperature.
MathematicsMeasurement: Students read a wind-chill table, relating wind speed and air temperature.
Cross CurriculumScience: Physical/Material World

### Monsters of the Deep

Connected 1, 2009, p.2
ContextSquid
MathematicsMeasurement: The body measurements of different kinds of squid are presented for discussion.
Cross CurriculumScience: Living World

### Te Papa’s Colossal Squid

Connected 1, 2009, p.10
ContextThe capture, preservation and examination of a colossal squid.
MathematicsMeasurement: A range of measurements (length, capacity, temperature, weight) of a colossal squid is presented for discussion.
Cross CurriculumScience: Living World

### Bird Land

Connected 1 and 2, 2008, p.8
ContextFossils reveal the nature of some NZ creatures from the past.
MathematicsMeasurement: A limited number of time and measurement data are given and these can form the basis of discussion.
Cross CurriculumScience: Living World

### Nailing it down

Connected 1, 2006, p.20
ContextA father and son are building a wooden paling fence.
MathematicsMeasurement: A fence length is measured using metres and centimetres, and skip counting and multiplication are applied to solve a problem.
Cross CurriculumTechnology

### Centre Stage

Connected 1, 2005, p.20
ContextA school idol competition is being performed on a circular rotating stage.
MathematicsGeometry: 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 CurriculumThe Arts

### Finding the Shapes in Buildings

Connected 1, 2002, p.30
ContextGeometric shapes are identified in photographs of buildings from different cultures.
MathematicsGeometry: Two-dimensional and three-dimensional shapes are defined.
Cross CurriculumThe Arts and Technology

### 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

### The Giant Who Needed a Bed

Connected 1, 2000, p.22
ContextThe fictional story tells about a giant who accepts hospitality from the people of a village.
MathematicsMeasurement: It is inferred that body measurements can be calculated from the length of a footprint.
Cross CurriculumEnglish

### 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

### Make a spinner

Connected 1, 1999, p.6
ContextInstructions are given to make a paper spinner.
MathematicsMeasurement: A circle, its diameter and radius are informally investigated in this practical task.
Cross CurriculumScience: Physical World

### What do you see?

Connected 1, 1998, p.12
ContextOptical illusions
MathematicsGeometry: The length of lines on two trapeziums is compared.
Cross CurriculumThe Arts

### Clocks with a Difference

Connected 1, 1998, p.14
ContextTime is shown in different ways on several unusual clocks.
MathematicsMeasurement: Digital and analogue time is explored in an unusual way.
Cross CurriculumTechnology

### How Do You Measure a Dinosaur?

Connected 1, 1998, p.20
ContextA practical investigation into the actual size of Tyrannosaurus rex.
MathematicsMeasurement: A picture of a dinosaur is enlarged onto a grid using metre measures.
Cross CurriculumScience: Living World

### Sun Facts

Connected 1, 1998, p.6
ContextSun facts
MathematicsMeasurement: Mathematical facts about the sun are presented for discussion.
Cross CurriculumScience: Planet Earth and Beyond

## Connected Geometry and Measurement, Level 3

### Pseudoscience

ContextCarrying out investigations into pseudoscientific claims.
MathematicsMeasurement: Calculating and comparing areas in cm2
Cross CurriculumHealth and PE

### Rising Seas

ContextExploring some practical implications of sea level changes.
MathematicsMeasurement: Measurement data over time is presented for discussion and comparison, within a meaningful context.
Cross CurriculumScience and Social Sciences.

### Rebuilding Christchurch with Amazing Ideas

ContextDesigning buildings as part of the Christchurch rebuild.
MathematicsGeometry: Exploring interlocking triangles, pentagons and hexagons in the process of making a cardboard geodesic dome.
Cross CurriculumTechnology and The Arts

### The Fish Highway

Connected Level 3, 2013: Food for Thought, p.23
ContextFish populations in Wellington’s storm water system.
MathematicsStatistical Literacy/Measurement: Fish scientist, Frances, undertakes snapshot surveys of fish populations. Her data inform the New Zealand Freshwater Fish Database.
Cross CurriculumScience: Living World

### Building a Wharenui

Connected 2, 2011: Structure, p.10
ContextWhakairo, tukutuku panels and kōwhaiwhai patterns
MathematicsGeometry: The mathematics in a wharenui are highlighted in a study of the structural symmetry, reflections, rotations, and translations.
Cross CurriculumScience: Material World and Social Sciences

### More than a Box

Connected 2, 2011: Structure, p.20
ContextStructural beams and braces in buildings
MathematicsGeometry: The relationship between rectangles and triangles is explored.
Cross CurriculumScience: Material World

### 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

### Double, Double, Toilet Trouble

Connected 2, 2009, p.10
ContextInvestigating infectious organisms
MathematicsMeasurement: The measurements are given for bacteria can be discussed.
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

### Time Zones

Connected 2, 2004, p.22
ContextA 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.
MathematicsMeasurement: Time zones are explained within the text and with reference to a model world globe.
Cross CurriculumSocial Sciences

### 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

### Make a Decorative Icosahedron

Connected 2, 2002, p.19
ContextPractical instructions are given for making a cardboard icosahedron.
MathematicsGeometry/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 CurriculumTechnology

### Flatland: A Journey into the World of Two Dimensions

Connected 2, 2002, p.28
ContextIn this fictional play, travellers go on a return journey from a three-dimensional world to one of two dimensions.
MathematicsGeometry: The differences between two-dimensional and three-dimensional shapes are explored within the context of this play.
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

### Samoan Siapo Patterns

Connected 2, 1999, p.28
ContextInstructions are given for making Samoan siapo patterns.
MathematicsGeometry: Reflection, rotational symmetry and translations can be explored in this task.
Cross CurriculumThe Arts

## 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

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