Full Description
`Comprises a very helpful resource for students who are obliged to succeed in passing the QTS numeracy test in order to gain QTS. It should provide a valuable resource for students to increase their confidence as well as their competence' - Mathematics in Schools
`The stated aim of this book is to help teacher-trainees prepare for the numeracy test all new entrants to the profession now have to pass. Any trainee worried about the test should find this a useful resource.... As in similar books by Derek Haylock, the mathematical content is written in a clear and accessible style' - Mike Askew, Times Educational Supplement
Quotes from the author's students
`The book is excellent. I think it will present students and others with a valuable resource, not only to help with the QTS test, but also for teaching. I could see myself using it on "dip-in-as-necessary" basis'.
`The practice questions were really helpful for checking and consolidating learning. The material was useful for the QTS test, particularly the mental calculations. Many thanks for letting me work through your sample material. I cannot begin to tell you how much more I have learnt! This has definitely made me feel more confident about passing the QTS numeracy skills test! I have definitely demonstrated to myself from this material that my ability to complete calculations mentally has increased. I can calculate faster and with some accuracy now!'
`Comprises a very helpful resource for students who are obliged to succeed in passing the QTS numeracy test in order to gain QTS. It should provide a valuable resource for students to increase their confidence as well as their competence' - Mathemtics in Schools
This book is designed to help teacher-trainees prepare for the Qualified Teaching Standards numeracy test that must now be passed by all entrants to the teaching profession. The author focuses especially on weaknesses in numeracy often observed in adults, and in teacher-trainees in particular. As far as possible, this mathematics is set in the professional context of teaching, drawing on statistics and other data from individual schools, the DfEE and the Qualifications and Curriculum Agency (QCA).
Contents
Mental Calculations, Changing Proportions to Percentages
Mental Calculations, Changing More Proportions to Percentages
Decimals and Percentages
Understanding Data Presented in Tables
Two-Way Tables for Comparing Two Sets of Data
Bar Charts and Frequency Tables for Discrete Data
Bar Charts for Grouped Discrete Data
Finding a Fraction of a Quantity
Fractions to Decimals and Vice Versa
Expressing a Percentage in Fraction Notation
The Commutative Law
The Associative Law
The Distributive Law
Using a Four-Function Calculator, Precedence of Operators
Using a Four-Function Calculator for Money Calculations
Using the Memory on a Four-Function Calculator
Using a Calculator to Express a Proportion as a Percentage
Rounding Answers
Very Large and Very Small Numbers
Mental Calculators, Multiplication Strategies
Mental Calculators, Division Strategies
Mental Calculators, Finding a Percentage of a Quantity
Finding a Percentage of a Quantity Using a Calculator
Adding and Subtracting Decimals
Mental Calculators, Adding Lists
More Multiplications Strategies
More Division Strategies
Multiplication with Decimals
Division with Decimals
Using Approximations to Check Your Answers
Mental Calculations, Time
Knowledge of Metric Units of Length and Distance
Knowledge of Metric Units of Area and Solid Volume
Knowledge of Other Metric Units
Mental Calculations, Money
Simplifying Ratios
Sharing a Quantity in a Given Ratio
Increasing or Decreasing by a Percentage
Expressing an Increase or Decrease as a Percentage
Finding the Original Value after a Percentage Increase or Decrease
Calculating Mean
Modes
Medians
Upper and Lower Quartiles
Measures of Spread, Range and Inter-quartile Range
Box-and-Whisker Diagrams
More Box-and-Whisker Diagrams
Percentiles
Reading Scatter Graphs
Scatter Graphs and Correlation
Conversion Graphs
Interpreting Pie Charts
Substituting into Formulas
Weighted Means
Combining Means or Percentages from Two or More Sets of Data
Understanding Cumulative Frequency Graphs
Cumulative Frequency Graphs, Finding the Median and Quartiles
Line Graphs for Representing Data over Time
Bar Charts for Comparing Two Sets of Data
The Notion of Value-Added
Interpreting Value-added Graphs
