Maths Unit 1 - Revision

Maths Unit 1 - Statistics and Number

Unit 1 Higher: Statistics and Number

• This unit aims to test a student's understanding of statistical concepts and measures, defined in the specification as:
• Data handling cycle
• Data collection
• Data presentation and analysis
• Data interpretation
• Probability.
• For students to be able to work with such themes, their knowledge of statistics will need to be underpinned by an appreciation of fundamental number skills. This has been defined as:
• Working with numbers and the number system
• Fractions, decimals and percentages
• Ratio and proportion
• The language of algebra
• Sequences, functions and graphs.

Unit 1 Higher: Statistics and Number

• Within the assessment, these number skills will generally be tested within statistical contexts although some questions may only assess number skills.
• Whilst the headings listed above are drawn from the specification, the interlinking nature of statistics means they are not necessarily suitable as teaching topics. For this reason, we have broken down Unit 1 content into nine teaching topics and provided guidance for each topic. Whilst there will still be inevitable overlap between the topics, following these in order will provide a complete and progressive route through the unit content.
• 
• Pie de imagen: The teaching topics are: Fractions and decimals, Indices and standard form Collecting data, Percentages, Ratio and proportion, Statistical measures, Representing data, Scatter diagrams and Probability.

Fractions and Decimals

• Candidates should be able to:
• add, subtract, multiply and divide using commutative, associative and distributive laws
• understand and use inverse operations
• use brackets and the hierarchy of operations
• Examples
• Calculate (6 x 108) + (2 x 107) x (3 x 102).
• The mean weight of 9 people is 79 kg.
• A tenth person is so that the mean weight increases by 1 kg.
• How heavy is the tenth person?
• A coin is biased.
• The ratio of the probability of a head to the probability of a tail is 3 : 5
• Work out the probability of a tail.
• https://www.youtube.com/watch?v=av_BNNKIdFk (Enclavar)

Fractions and Decimals

• Candidates should be able to:
• round numbers to the nearest 10, 100, 1000 or million
• round to the nearest whole number
• round to one, two or three decimal places
• round to one significant figure
• Example 120 people take their driving test in a week.
• 71 pass.
• Work out the percentage who pass.
• Give your answer to one decimal place.
• Candidates should be able to:
• round numbers to the nearest 10, 100, 1000 or million
• round numbers to the nearest whole number
• round to a given number of decimal places
• round to a given number of significant figures
• choose an appropriate degree of accuracy to round to based on the figures in the question
• Example 120 people take their driving test in a week.
• 71 pass.
• Work out the percentage who pass.
• Give your answer to one decimal place.

Fractions and Decimals

• Candidates should be able to:
• write down the maximum or minimum figure for a value rounded to a given accuracy
• combine upper or lower bounds appropriately to achieve an overall maximum or minimum for a situation
• work with practical problems involving bounds including in statistics, e.g. finding the midpoint of a class interval such as in order to estimate a mean.
• Candidates should be able to:
• enter complex calculations, for example, to estimate the mean of a grouped frequency distribution
• enter a range of calculations including those involving money and statistical measures
• understand and use functions including memory, brackets and trigonometrical functions
• understand the calculator display, knowing how to interpret the display.
• https://www.youtube.com/watch?v=XVVvR2_Jt9s (Enclavar)

Fractions and Decimals

• Candidates should be able to:
• identify equivalent fractions
• simplify a fraction by cancelling all common factors using a calculator where appropriate. For example, simplifying fractions that represent probabilities.
• Candidates should be able to:
• understand whether a value is a percentage, a fraction or a decimal
• convert values between percentages, fractions and decimals in order to compare them; for example, with probabilities
• Candidates should be able to:
• use fractions to interpret or compare statistical diagrams or data sets
• interpret a fraction or decimal as a multiplier when solving problems
• convert between fractions, decimals and percentages to find the most appropriate method of calculation in a question; for example, finding 62% of £80
• Candidates should be able to:
• calculate a fraction of a quantity
• apply the four rules to fractions using a calculator
• calculate with fractions in a variety of contexts including statistics and probability

Fractions and Decimals

• maths topics - calculator
• Maths Revision- end of year test
• Fractions and Decimals
• 

Indices and Standard Form