The maths skills workbook with digital access helps learners to develop their maths skills in the context of the Cambridge IGCSE™ Chemistry syllabus. These skills are crosslinked to the coursebook to help students understand how to use them. Practice exercises provide opportunities for learners to practise each maths skill. To support students in acquiring these skills, the exercises gradually increase in complexity. Practice questions provide opportunities for students to practise their skills in an active learning format such as discussion opportunities and pair work. Exam-style questions give students the chance to apply the skills they have learnt in an exam-style context. In the last chapter, students will need to select which maths skills they ought to apply in different contexts, without the structure and guidance provided in each of the chapters, helping them become confident, independent learners. The answers can be found online at www.cambridge.org/go
- Written by experts in both chemistry and mathematics based on research carried out by the Nuffield Foundation and the Association for Science Education (ASE)
- Maths skills are crosslinked to other resources in the series to help students understand how to use them
- Practice exercises gradually increase in complexity to support students in developing maths skills
- Worked examples illustrate the concept, provide a skills-based step-by-step approach to answering a question, helping learners to develop their thinking processes
- The ‘Look out’ feature makes students aware of common misconceptions that might be holding them back
- Exam-style students require students to select which maths skills they ought to apply in different contexts, without the structure and guidance provided in each of the chapters, helping them become confident, independent learners
- The answers can be found online at www.cambridge.org/go.
How to use this series
How to use this book
Introduction
Maths skills grid
1. Representing values
Maths focus 1: Using units
Maths skill 1: Choosing the correct unit
Maths skill 2: Writing the unit symbol
Maths skill 3: Writing symbols for derived units
Maths focus 2: Understanding very large and very small numbers
Maths skill 1: Understanding place value
Maths skill 2: Understanding powers of 10
Maths skill 3: Understanding unit prefixes
Maths focus 3: Writing numbers in a required form
Maths skill 1: Writing numbers in standard form
Maths skill 2: Writing numbers to the required number of significant figures
2. Working with data
Maths focus 1: Collecting data
Maths skill 1: Reading scales
Maths skill 2: Recording to the correct number of decimal places
Maths focus 2: Understanding types of data
Maths skill 1: Identifying independent and dependent variables
Maths skill 2: Distinguishing categorical, continuous and discrete data
Maths focus 3: Recording and processing data
Maths skill 1: Drawing tables
Maths skill 2: Drawing tables to help process data
Maths skill 3: Recording processed data to the correct number of significant figures
3. Drawing charts and graphs
Maths focus 1: Drawing bar charts
Maths skill 1: Choosing a suitable scale for the vertical axis (y-axis)
Maths skill 2: Drawing the bars
Maths focus 2: Drawing pie charts
Maths skill 1: Converting percentages to angles
Maths skill 2: Drawing the sectors
Maths focus 3: Drawing line graphs
Maths skill 1: Choosing which variable goes on which axis
Maths skill 2: Drawing the axes
Maths skill 3: Plotting the data points
Maths skill 4: Using a ruler to draw a best-fit line
Maths skill 5: Drawing a best-fit curve freehand
4. Interpreting data
Maths focus 1: Interpreting charts
Maths skill 1: Interpreting the heights of bars on a bar chart
Maths skill 2: Comparing the sizes of sectors on a pie chart
Maths focus 2: Reading values from a line graph
Maths skill 1: Interpolating line graphs
Maths skill 2: Extrapolating line graphs
Maths skill 3: Finding the intercept
Maths focus 3: Interpreting the shape of line graphs
Maths skill 1: Recognising the shape of the graph
Maths skill 2: Interpreting the changing gradient of a curve
Maths skill 3: Calculating the gradient of a straight-line graph
5. Doing calculations
Maths focus 1: Using basic mathematical operations in calculations
Maths skill 1: Working out the correct calculation for relative formula mass
Maths skill 2: Using mathematical operations in the correct order to calculate relative formula mass
Maths skill 3: Calculating number of particles using powers of 10 (Supplement)
Maths skill 4: Using positive and negative values to interpret the overall enthalpy change of a chemical reaction (Supplement)
Maths focus 2: Calculating and using percentages
Maths skill 1: Calculating percentage composition by mass
Maths skill 2: Calculating percentage yield
Maths skill 3: Calculating percentage purity
Maths skill 4: Using percentages to calculate relative atomic mass
Maths focus 3: Using mathematical formulae in calculations (Supplement)
Maths skill 1: Substituting values into a mathematical formula
Maths skill 2: Rearranging a mathematical formula
Maths skill 3: Using titration results to calculate the concentration of a solution
Maths focus 4: Calculating using proportional relationships
Maths skill 1: Recognising directly and indirectly proportional relationships
Maths focus 5: Calculating using ratios
Maths skill 1: Using ratio to work out reacting masses
Maths skill 2: Using ratio and moles to work out reacting masses (Supplement)
6. Working with shape
Maths focus 1: Comparing surface area and volume
Maths skill 1: Calculating surface area
Maths skill 2: Comparing the surface area to volume ratio
Applying more than one skill
Appendix: The Periodic Table
Glossary
Acknowledgements
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Fully endorsed by University of Cambridge International Examinations.
Cambridge IGCSE encourages learner-centred and enquiry-based approaches to learning. It develops learners' skills in creative thinking, enquiry and problem solving, giving learners excellent preparation for the next stage in their education.
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