Basic 8Basic 8 Mathematics NotesOpen a topic to read the notes, copy the key parts into your notebook and do the exercises.Term PreparationPreparing for the Term in MathematicsIn this topic you will review number work from Basic 7, including place value, operations, powers and fractions, and apply your knowledge in short problem-solving tasks.Read and Write in Number QuantitiesNumbers over a Billion and Skip CountingIn this topic you will apply place value to read and write number quantities over 1,000,000,000 and skip count forwards and backwards in 10,000s, 100,000s, 500,000s and other steps.Compare and Order Whole NumbersComparing and Ordering Numbers and Standard FormIn this topic you will compare and order whole numbers using >, < and =, and express numbers of any size in standard form.Significant FiguresSignificant Figures, Decimal Places and Standard Form for Small NumbersIn this topic you will express numbers to a given number of significant figures and decimal places, and write small numbers in standard form using negative indices.Word Problems on Place ValuesWord Problems on Place Value, Perfect Squares and Square RootsIn this topic you will create and solve word problems on place value, and use the concept of sets to identify perfect squares and determine square roots.Union and Intersection of SetsSets of Factors, Union and Intersection, and Powers of TenIn this topic you will use sets of factors and multiples to find the HCF and LCM, solve real-life problems involving union and intersection, and multiply and divide by powers of 10 including decimals and benchmark fractions.Mental Mathematics StrategiesMental Mathematics with Number Properties and Word ProblemsIn this topic you will apply mental strategies and number properties to carry out calculations, work mentally with percentages and fractions, and solve word problems using mental mathematics.Addition and SubtractionAdding, Subtracting, Multiplying and Dividing Large NumbersIn this topic you will add and subtract numbers with more than four digits and multiply and divide multi-digit numbers by 2- and 3-digit numbers.DecimalsStory Problems with Decimals and Laws of IndicesIn this topic you will create and solve story problems involving decimals, and identify, explain and apply the laws of indices.IndicesApplying Laws of Indices, the Order of Operations and Exponential EquationsIn this topic you will apply the laws of indices to simplify and evaluate expressions, use the order of operations with powers, solve simple exponential equations and solve real-life problems involving powers.Term RevisionTerm Revision in MathematicsIn this topic you will recall and summarise the term's work on numeration, sets, operations and indices, and practise answering end-of-term questions.Term ProjectTerm Project in MathematicsIn this topic you will apply the term's learning through a mathematical project using problem solving, reasoning, measurement, number and data skills.