Connected Geometry and Measurement

Connected Geometry and Measurement, Level 2


Connected Level 2, 2020: Digging Deeper
MathematicsMeasurement: Sizes of bones from different birds are compared.  

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
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
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


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

Maths Craft

Connected Level 4, 2019: Seeing Beyond
ContextCraft activities based on maths
MathematicsGeometry and Measurement: Making interesting mathematical shapes out of paper and string.
Cross CurriculumN/A

The Global Positioning System

Connected Level 4, 2019: Seeing Beyond
ContextThe Global Positioning System (GPS)
MathematicsGeometry and Measurement: How the GPS system uses geometry to find your location.
Cross CurriculumTechnology

Kiwis in Space

Connected Level 4, 2018: Digital Space
MathematicsGeometry and Measurement: Describing the position of a rocket, understanding the size of satellites, rockets, and their payloads.
Cross CurriculumScience: Nature of science   

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


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