Chapter 12 Statistics

1

WORK PROGRAM

Chapter 12 Statistics

Cluster: Chance and DataSuggested time: 3 weeks

Section

/ GC tips, Investigations, Rich tasks, History of mathematics, Maths Quest challenge,
10 Quick Questions, Code puzzles / SkillSHEETs, WorkSHEETs, Interactive games,

Test yourself, Topic tests

(CD-ROM) / Technology applications
(CD-ROM) /

Learning outcomes

Are you ready? (page 528) / SkillSHEETs (page 528)
12.1: Presenting data in a frequency table
12.2: Drawing pie graphs
12.7: Finding the mean of ungrouped data
12.8: Arranging a set of data in ascending order
12.9: Finding the middle score of a set of data
12.12: Finding the score in a data set that occurs most frequently / C&D 13b.4 Summarise and represent data
Displays frequency and measurement data and summarises data with middle scores and means.
C&D 13b.5 Summarise and represent data
Displays one-variable data in tables and plots, and summarises data with means and medians.
Classifying data (page529)
WE 1a–d
Ex 12A Classifying data (page 530) / Maths Quest challenge: Q1–3 (page 531) / C&D 13a.4 Collect and organise data
Collaborates with peers to classify data.
Collecting data (page 532)
WE 2, 3
Ex 12B Collecting data (page 534) / Investigation: Generating random numbers (page533)
Investigation: Bias (page536)
Investigation: Collecting data for surveys and questionnaires (page537)
10 Quick Questions 1 (page 539) / WorkSHEET 12.1 (page536) / Mathcad: Collecting data (page 534) / C&D 13a.5 Collect and organise data
Collaborates to plan and refine survey questions and other observation methods for one-variable data and collects and records data.
WM 3.5 Mathematical strategies
Extends tasks by asking further mathematical questions and uses problem-solving strategies that include those based on developing systematic approaches.
Displaying data (page 539)
WE 4a–b, 5a–c
Ex 12C Displaying data (page 544) / GC tip — Casio: Constructing a histogram (page 541)
Career profile: Col Hutchinson (page 546) / SkillSHEET 12.1: Presenting data in a frequency table (page544)
SkillSHEET 12.2: Drawing pie graphs (page 544)
SkillSHEET 12.3: Organising data into class intervals (page545)
Game time 001 (page546) / GC tip — TI: Constructing a histogram (page 541)
Excel: Histograms and frequency polygons (page 544)
Excel: Histograms and frequency polygons (DIY) (page 544)
Mathcad: Displaying data (page 544)
Mathcad: Histograms and frequency polygons (page 544)
GC program — Casio: UV stats (page 544)
GC program — TI: UV stats (page 544) / C&D 13b.5 Summarise and represent data
Displays one-variable data in tables and plots, and summarises data with fractions.
C&D 13b.6 Summarise and represent data
Displays and summarises data to show location and variability, including situations where some grouping of data is required.
AM 2.5 Contextualise mathematics
Describes how some familiar mathematical ideas are, or have been, used by people to represent, describe and explain their world.
Dot frequencies and stemandleaf plots (page 547)
WE 6a–b, 7, 8
Ex 12D Dot frequencies and stemandleaf plots (page 550) / Maths Quest challenge: Q1–4 (page 552) / SkillSHEET 12.4: Presenting data as a dot frequency (page 550)
SkillSHEET 12.5: Choosing an appropriate scale for dot frequencies (page550)
SkillSHEET 12.6: Presenting data as a stemandleaf plot (page550) / Excel: Dot frequencies (DIY) (page 550) / C&D 13b.5 Summarise and represent data Displays one-variable data in tables and plots, and summarises data with means and medians.
C&D 13b.6 Summarise and represent data
Displays and summarises data to show location and variability, including situations where some grouping of data is required.
C&D 14.5 Interpret data
Reads and makes sensible statements about trends and patterns in the data in tables, diagrams, plots, graphs and summary statistics.
Measures of central tendency (page 553)
WE 9, 10, 11a–d, 12a–d
Ex 12E Measures of central tendency (page559) / GC tip — Casio: Finding the mean of a list of scores (page553)
GC tip — Casio: Finding the mean in a frequency distribution table (page555)
GC tip — Casio: Finding the median (page 557)
Code puzzle (page 562)
10 Quick Questions 2 (page 563)
Maths Quest challenge: Q1–4 (page 564) / SkillSHEET 12.7: Finding the mean of ungrouped data (page 559)
SkillSHEET 12.8: Arranging a set of data in ascending order (page559)
SkillSHEET 12.9: Finding the middle score of a set of data (page 559)
SkillSHEET 12.10: Finding the middle score for a set of data arranged in a stemandleaf plot (page559)
SkillSHEET 12.11: Finding the middle score for data arranged in a dot frequency (page559)
SkillSHEET 12.12: Finding the score in a data set that occurs most frequently (page560)
Game time 002 (page 561)
WorkSHEET 12.2 (page561) / GC tip — TI: Finding the mean of a list of scores (page553)
GC tip — TI: Finding the mean in a frequency distribution table (page555)
GC tip — TI: Finding the median (page 557)
Mathcad: Measures of central tendency (page559)
Mathcad: Calculating the mean (page 559)
Excel: Calculating the mean from a frequency table (page559)
Excel: Calculating the mean from a frequency table (DIY) (page 559)
GC program — Casio: UV stats (page 559)
GC program — TI: UV stats (page 559)
Excel: Finding the median (page 559)
Excel: Finding the median (DIY) (page 559)
Excel: Finding the mode (page 560)
Excel: Finding the mode (DIY) (page 560) / C&D 13b.5 Summarise and represent data
Displays one-variable data in tables and plots, and summarises data with means and medians.
C&D 14.5 Interpret data
Reads and makes sensible statements about trends and patterns in the data in tables, diagrams, plots, graphs and summary statistics.
Measures of spread (page564)
WE 13, 14a–b
Ex 12F Measures of spread (page 567) / GC tip — Casio: Finding the median, mode and range (page 566)
Rich task: What numbers are in my list? (page568)
Investigation: Chocolate or strawberry? (page 568) / SkillSHEET 12.13: Locating Xmin, Xmax, QL and QU in an ordered data set (page567)
WorkSHEET 12.3 (page567) / GC tip — TI: Finding the median, mode and range (page 566)
GC program — Casio: UV stats (page 567)
GC program — TI: UV stats (page 567) / N 6a.5 Understand whole numbers and decimals
Reads, writes, says and understands the meaning of whole and decimal numbers.
C&D 13b.6 Summarise and represent data
Displays and summarises data to show location and variability.
WM 3.5 Mathematical strategies
Extends tasks by asking further mathematical questions and uses problem-solving strategies that include those based on developing systematic approaches.
Summary (page 569)
Chapter review (page 571) / ‘Test yourself’ multiple choice questions
(page 572)
Topic tests (2)