Introduction

Overview 3

Overview

THE MATHEMATICS IN THIS CASE STUDY

 

MATHEMATICAL SKILLS

THINKING SKILLS

Lesson 1

Sorting and classifying

Researching data

 

 

 

Lesson 1

Thinking, pairing and sharing Decision making

Justification of responses.

Information processing skills – using ICT or other resources 

Creative thinking :The thinking tool  “Consider All Factors”

Lesson 2

Estimation

Considering factors in the design of a mathematical model

The concepts of “variable” and “constant”

Direct measurement : distance and units

Indirect measurement :  scale and ratio

Decimal place value

Lesson 2

Critical thinking: identifying variables for a suitable mathematical model

Lesson 3

Collecting primary measurement data

Interpretation of data through discussion

Calculation using scale factor

Speed-distance-time relationship

Substitution and evaluation using a formula

Lesson 3

Enquiry skills: selection of factors suitable for investigation; breaking a complex problem into simpler steps

Solving problems: design of data collection; interpretation and discussion of  data

Compare and contrast of estimates and findings in order to make a reasoned judgement

Identifying assumptions

Justifying conclusions, including any assumptions 

Lesson 4

Use of ICT to create spreadsheets/graphs

Accuracy of measurement

Lesson 4

Reasoning skills, such as justifying the reasonableness of results, refining responses based on further evidence

Lesson 5 

Error measurements and error limits.

Application of the model

Lesson 5

Generalising  Using the concept of reasonable doubt to refine decision

 

Glossary of Useful Cricket Terms Relevant to this Case

 

Term

Definition

Bowled

A method in which a batsman may be out – the ball hits the wicket after being bowled by the bowler

Caught

A method in which a batsman may be out – the ball is caught by a fieldsman after being hit by the batsman

Crease-line

A line across the pitch in front of the wicket at either end of the pitch

Fieldsman

A player from the bowling team who tries to prevent the batting team scoring by stopping the ball hit by one of the batsmen

Leg-before-wicket

A method in which a batsman may be out – the ball hits the batsman’s pad (leg) and in the belief of the umpire would have hit one of the stumps has it not hit the batsman

Over

A series of six balls bowled to the batting team by one bowler

Pads

Protective leg-wear worn by the batsman and wicketkeeper

Pitch

The 22-yard strip of turf on which cricket is played

Run

A score made by the batting team when a batsman runs from one end of the pitch to the other, usually after the ball has been hit

Run –Out

A method in which a batsman may be out – the ball breaks the wicket at the end of the pitch to which the batsman is running, before he or she is able to ground the bat past the crease-line

Wicket

Assembly of three small poles of wood (stumps) surmounted by two shorter pieces of wood (bails) placed at either end of the pitch.

Wicket-keeper

A member of the bowling team who stands behind the wicket and stops or catches any ball missed by the batsman