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# S3-1: Conduct investigations using the statistical enquiry cycle: gathering, sorting, and displaying multivariate category and whole-number data and simple time-series data to answer questions; identifying patterns and trends in context, within and between data sets; communicating findings, using data displays.

Elaboration on this Achievement Objective:

The statistical enquiry cycle has five phases that relate to each other. Some enquiries follow these phases in sequence but often new considerations mean that a statistician must go back to previous phases and rethink. The phases are:

At Level Three students should be able to pose questions that they want to investigate, consider the appropriate data they need to collect, gather and sort the data in order to develop an answer to their question. The data involved should be multivariate so it should include many variables, for example gender, age, height, eye colour, bedtime, etc., so that relationships between the variables can be explored. Students should be able to ask summary questions (of a variable), for example what is the usual range in height for 10-year-old students?, comparison questions, for example are girls taller than boys?, and relationship questions, for example do older students go to bed later than younger students? Data displays, including tables and graphs, expected at Level Three are tally charts, frequency tables, pictographs, bar graphs, strip graphs, and pie charts for category data, dot plots and stem and leaf graphs for whole-number data, and simple line graphs for time series data. Students should be able to use computer technology to create these displays to find patterns, including trends over time, in data as well as to communicate their findings to others. They should be able to justify their choice of display/s with reference to the patterns they wish to highlight.

Teaching resources for this Achievement Objective:

## Data Squares Level 3

• Units of Work
• Statistics
• Level Three

This unit provides a way of looking at multivariate data from a group of individuals. Data squares hold several pieces of information about individuals, and by sorting and organising a set of data squares, things can be found out about the group.

## Giant Mystery

• Units of Work
• Statistics
• Level Three

The unit explores relationships between the hand length, width, span of a person and their height and other body measurements. By using the hand print of a giant, students are able to use relationship between hand size and body size the find out how big the giant is.

## Hanging out for Hāngi

• Units of Work
• Statistics
• Level Three

In this unit students are faced with the challenge of ordering the right amounts of food to put down in a hāngi for the whole school.  They carry out a statistical investigation into the preferred choices of food of the school population.

## Sports

• Units of Work
• Statistics
• Level Three

In this unit data about sporting activities is collected and presented using stem-and-leaf graphs and bar charts.

## Fridge Pickers

• Units of Work
• Statistics
• Level Three

In this unit, using our fridge as the context, we collect data and present these as dot plots, strip graphs and pie charts.

## Paper Planes

• Units of Work
• Geometry and Measurement
• Level Three

In this unit, students investigate one variable to see if they can make a paper plane fly further. They use scatter plots to establish a possible relationship between variables, then use what they have found to make a paper plane to enter into a class competition.

## Carrots

• Units of Work
• Statistics
• Level Three

In this unit we investigate the amount of water contained in a carrot and we plot the "weight" of the carrot using a line-graph as the water in the carrot evaporates. The students also pose their own carrot questions for investigation.

## Planning a Statistics Investigation L3

• Units of Work
• Statistics
• Level Three

In this unit students will identify how to plan and carry out a statistical investigation, looking at using comparisons, controls and measurable data.

## Training

• Problem solving activities
• Statistics
• Level Three
Use their own language to talk about features of a set of data.
Devise and use problem solving strategies (draw a picture, use equipment, think).

## Playing with Numbers

• Figure It Out activities
• Number and Algebra
• Level Three

These are level 3 number and probability problems from the Figure It Out series.
A PDF of the student activity is included.

## Upside Down

• Figure It Out activities
• Number and Algebra
• Level Three

These are level 3 number, geometry and statistics problems from the Figure It Out series.
A PDF of the student activity is included.

## Never too Late

• Figure It Out activities
• Number and Algebra
• Level Three

This is a level 3 number and statistics activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.
A PDF of the student activity is included.

## Holiday Plans and Budgets

• Figure It Out activities
• Number and Algebra
• Level Three

This is a level 3 number and statistics activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.
A PDF of the student activity is included.

## Logo Appeal

• Figure It Out activities
• Statistics
• Level Three

This is a level 2 and 3 statistics activity from the Figure It Out series.
A PDF of the student activity is included.

## Wild about Juice

• Figure It Out activities
• Statistics
• Level Three

This is a level 3 statistics activity from the Figure It Out series.
A PDF of the student activity is included.

## Petty Differences

• Figure It Out activities
• Statistics
• Level Three

This is a level 3 statistics activity from the Figure It Out series.
A PDF of the student activity is included.

## All in the Family

• Figure It Out activities
• Statistics
• Level Three

This is a level 3 statistics activity from the Figure It Out series.
A PDF of the student activity is included.

## It's on the Cards

• Figure It Out activities
• Statistics
• Level Three

This is a level 3 statistics activity from the Figure It Out series.
A PDF of the student activity is included.

## Television Times

• Figure It Out activities
• Statistics
• Level Three

This is a level 3 statistics activity from the Figure It Out series.
A PDF of the student activity is included.

## Well Weathered

• Figure It Out activities
• Statistics
• Level Three

This is a level 3 statistics activity from the Figure It Out series.
A PDF of the student activity is included.

## Winning Dots

• Figure It Out activities
• Statistics
• Level Three

This is a level 3 statistics activity from the Figure It Out series
A PDF of the student activity is included.

## Old Enough?

• Figure It Out activities
• Statistics
• Level Three

This is a level 3 statistics activity from the Figure It Out series.
A PDF of the student activity is included.

## Way to Go

• Figure It Out activities
• Statistics
• Level Three

This is a level 3 statistics activity from the Figure It Out series.
A PDF of the student activity is included.

## Cold Coffee

• Figure It Out activities
• Statistics
• Level Three

This is a level 3 statistics activity from the Figure It Out series.
A PDF of the student activity is included.

## School Crossing

• Figure It Out activities
• Statistics
• Level Three

This is a level 3 and 4 statistics activity from the Figure It Out series.
A PDF of the student activity is included.

• Figure It Out activities
• Statistics
• Level Three

This is a level 3 and 4 statistics activity from the Figure It Out series.

## Opinion Polls

• Figure It Out activities
• Statistics
• Level Three

This is a level 3 and 4 statistics activity from the Figure It Out series.
A PDF of the student activity is included.

• Figure It Out activities
• Statistics
• Level Three

This is a level 3 and 4 statistics activity from the Figure It Out series.
A PDF of the student activity is included.

## Fish Figures

• Figure It Out activities
• Statistics
• Level Three

This is a level 3 and 4 statistics activity from the Figure It Out series.
A PDF of the student activity is included.

## Fully Stretched

• Figure It Out activities
• Statistics
• Level Three

This is a level 3 and 4 statistics activity from the Figure It Out series.
A PDF of the student activity is included.

## Bean There

• Figure It Out activities
• Statistics
• Level Three

This is a level 3 and 4 statistics activity from the Figure It Out series.
A PDF of the student activity is included.

## Lights Out

• Figure It Out activities
• Number and Algebra
• Level Three

This is a level 3 number and statistics activity from the Figure It Out theme series.
A PDF of the student activity is included.

## Planet Centurion

• Figure It Out activities
• Statistics
• Level Three

This is a level 3 statistics activity from the Figure It Out theme series.

## Body Analyser

• Figure It Out activities
• Statistics
• Level Three

This is a level 3 statistics activity from the Figure It Out theme series.

## Can't Catch Me!

• Figure It Out activities
• Statistics
• Level Three

This is a level 3 statistics and measurement activity from the Figure It Out theme series.

## Olympic Locations

• Figure It Out activities
• Statistics
• Level Three

This is a level 3 statistics activity from the Figure It Out theme series.

## Dinner Time Ads

• Figure It Out activities
• Statistics
• Level Three

This is a level 3 statistics activity from the Figure It Out series.
A PDF of the student activity is included.

## CensusAtSchool

• Figure It Out activities
• Statistics
• Level Three

This is a level 3 statistics activity from the Figure It Out series.

• Figure It Out activities
• Statistics
• Level Three

This is a level 3 statistics activity from the Figure It Out series.
A PDF of the student activity is included.

• Figure It Out activities
• Statistics
• Level Three

This is a level 3 statistics activity from the Figure It Out series.
A PDF of the student activity is included.

## People Meters

• Figure It Out activities
• Statistics
• Level Three

This is a level 3 statistics activity from the Figure It Out series.
A PDF of the student activity is included.

## Logging On

• Figure It Out activities
• Statistics
• Level Three

This is a level 3 statistics activity from the Figure It Out series.
A PDF of the student activity is included.

• Figure It Out activities
• Statistics
• Level Three

This is a level 3 statistics activity from the Figure It Out series.

## Optimal Velocity

• Figure It Out activities
• Statistics
• Level Three

This is a level 3 statistics activity from the Figure It Out series.
A PDF of the student activity is included.

## Electronic Excess?

• Figure It Out activities
• Statistics
• Level Three

This is a level 3 statistics activity from the Figure It Out series.
A PDF of the student activity is included.

## Snack Attack

• Figure It Out activities
• Statistics
• Level Three

This is a level 3 statistics activity from the Figure It Out series.
A PDF of the student activity is included.

• Figure It Out activities
• Statistics
• Level Three

This is a level 3 and 4 statistics activity from the Figure It Out series.
A PDF of the student activity is included.

## Which Graph?

• Units of Work
• Statistics
• Level Three

In this unit students explore how bar graphs and pie graphs can show different aspects of a data set. Bar graphs show the number differences between data categories and pie graphs can be used to clearly show proportional differences between data categories.

## Which Graph? with Excel

• Units of Work
• Statistics
• Level Three

This unit involves the same mathematics as Which Graph? Level 3, but involves students making the bar graphs and pie graphs using Excel. The instructions to use Excel are provided as Copymasters.

In this unit students explore how bar graphs and pie graphs can show different aspects of the data. Bar graphs show the number differences between data categories and pie graphs can be used to clearly show proportional differences between data categories.

## Is Rubbish a Problem?

• Figure It Out activities
• Geometry and Measurement
• Level Two

This is a level (2+ to 3+) mathematics in science contexts activity from the Figure It Out series.
A PDF of the student activity is included.

## Types of Rubbish

• Figure It Out activities
• Statistics
• Level Three

This is a level (2+ to 3+) mathematics in science contexts activity from the Figure It Out series.
A PDF of the student activity is included.

## Breaking Down

• Figure It Out activities
• Statistics
• Level Three

This is a level (2+ to 3+) mathematics in science contexts activity from the Figure It Out series.
A PDF of the student activity is included.

## Location, Location ...

• Figure It Out activities
• Number and Algebra
• Level Three

This is a level (2+ to 3+) mathematics in science contexts activity from the Figure It Out series.
A PDF of the student activity is included.

## All That Packaging!

• Figure It Out activities
• Number and Algebra
• Level Three

This is a level (2+ to 3+) mathematics in science contexts activity from the Figure It Out series.
A PDF of the student activity is included.

## The Heat's On!

• Figure It Out activities
• Geometry and Measurement
• Level Two

This is a level (2+ to 3+) mathematics in science contexts activity from the Figure It Out series.
A PDF of the student activity is included.

## Cool Colours

• Figure It Out activities
• Statistics
• Level Three

This is a level (2+ to 3+) mathematics in science contexts activity from the Figure It Out series.
A PDF of the student activity is included.

## Flying High

• Figure It Out activities
• Geometry and Measurement
• Level Three

This is a level (2+ to 3+) mathematics in science contexts activity from the Figure It Out series.
A PDF of the student activity is included.

## Swing Time

• Figure It Out activities
• Statistics
• Level Three

This is a level (2+ to 3+) mathematics in science contexts activity from the Figure It Out series.
A PDF of the student activity is included.

## Zoom, Zoom!

• Figure It Out activities
• Statistics
• Level Three

This is a level (2+ to 3+) mathematics in science contexts activity from the Figure It Out series.
A PDF of the student activity is included.

## Bungy Jump Energy

• Figure It Out activities
• Statistics
• Level Three

This is a level (3+ to 4+) mathematics in science contexts activity from the Figure It Out series.
A PDF of the student activity is included.

## Wind Chill

• Figure It Out activities
• Number and Algebra
• Level Three

This is a level (3+ to 4+) mathematics in science contexts activity from the Figure It Out series.
A PDF of the student activity is included.

## Hypothermia

• Figure It Out activities
• Geometry and Measurement
• Level Four

This is a level (3+ to 4+) mathematics in science contexts activity from the Figure It Out series.
A PDF of the student activity is included.

## Uno’s Garden

• Picture book activities
• Statistics
• Level Three

This is an activity based on the picture book Uno’s Garden.

## Kapa Haka Spreadsheet

• Units of Work
• Statistics
• Level Three

This unit of work is based on the marks awarded by judges to the groups in a kapa haka competition. Students use a computer spreadsheet to enter the marks and analyse the data. This unit is based on the Māori medium unit Ripanga Kapa Haka.

## Good Sport?

• Figure It Out activities
• Statistics
• Level Three

This is a level 3 activity from the Figure It Out series.
A PDF of the student activity is included.

## Transport Trends

• Figure It Out activities
• Statistics
• Level Three

This is a level 3-4 activity from the Figure It Out series.
A PDF of the student activity is included.

## Drop Zone

• Figure It Out activities
• Statistics
• Level Three

This is a level 3 activity from the Figure It Out series.
A PDF of the student activity is included.

## Bird Scarers

• Figure It Out activities
• Statistics
• Level Three

This is a level 3 activity from the Figure It Out series.
A PDF of the student activity is included.

## Bouncing Back

• Figure It Out activities
• Number and Algebra
• Level Four

This is a level 3-4 activity from the Figure It Out series.
A PDF of the student activity is included.

## Seat Heights

• Figure It Out activities
• Geometry and Measurement
• Level Three

This is a level 3 activity from the Figure It Out series.
A PDF of the student activity is included.

## Ball Bounce

• Figure It Out activities
• Geometry and Measurement
• Level Three

This is a level 3 activity from the Figure It Out series.
A PDF of the student activity is included.

## What's in a text?

• Units of Work
• Statistics
• Level Three

The purpose of this unit of lessons is to conduct a statistical investigation into the relative popularity of four different text and print features, and to use data squares as the data gathering ‘tool’.

## Sports figures

• Units of Work
• Number and Algebra
• Level Three

In this unit students investigate the sport and recreation dispositions and habits of the students in their school, and present data using a display they have evaluated and identified as effective.

## Books vs Bean Bags? Part ii

• Rich learning activities
• Statistics
• Level Three

The purpose of this activity is to engage students in sorting and displaying statistical data in a meaningful way.

## Books vs Bean Bags? Part i

• Rich learning activities
• Statistics
• Level Three

The purpose of this activity is to engage students in posing a question for investigation and designing an investigation that could be used by the class.

## Books vs Bean Bags? Part iii

• Rich learning activities
• Statistics
• Level Three

The purpose of this activity is for students to examine data displays, identifying and expressing features and/or trends in context.

## Big Feet

• Rich learning activities
• Statistics
• Level Three

The purpose of this activity is to engage students in sorting data and identifying pattern and trends.

## A name is vital

• Units of Work
• Statistics
• Level Three

Students learn what vital statistics are, and that Statistics New Zealand collects and collates these data. The focus is for the student to present and communicate a chosen aspect of population statistics in the most appropriate graphic way, and to explain and justify their choice of visual display.

## How do people get to work?

• Units of Work
• Statistics
• Level Three

In this unit students explore and represent given (national travel) data, and identify patterns. They design and carry out an investigation of their classmates’ travel modes to school, present and compare class data with national data, looking for patterns and providing a rationale for these. Students are also asked to predict domestic travel patterns in the future.

## The shape of the nation

• Units of Work
• Statistics
• Level Three

Students are introduced to a graphic way of presenting population data that provides, by its shape, important information about the age and structure of a population.

## Matariki - Level 3

• Units of Work
• Geometry and Measurement
• Level Three

This unit builds the learning of mathematics around celebrations of Matariki, the Māori New Year. The sessions provide meaningful contexts that highlight Māori culture and provide powerful learning opportunities that connect different strands of mathematics.

## In this year

• Units of Work
• Number and Algebra
• Level Three

This unit is designed to engage your class for at least the first week of the school year. It provides you, their teacher, with opportunities for you to learn about their current level of achievement.