Arithmetic sequences

• Arithmetic Sequences This free online course covers topics related to arithmetic sequences. The Contents tab displays all the lessons and topics of the course. Each time you click the Contents tab, you will come to this page. A green tick indicates those lessons and topics you have completed, so you can easily see your progress. Topics in this module: Arithmetic sequences Find a particular term in an arithmetic sequence How many terms in this arithmetic sequence? Show that the sequence is arithmetic Solving arithmetic sequences simultaneously Summing up arithmetic sequences Is this an arithmetic sequence? Example (b) Example (c) Example (d)

Arithmetic series

• Arithmetic series This free online course covers the arithmetic series. The Contents tab displays all the lessons and topics of the course. Each time you click the Contents tab, you will come to this page. A green tick indicates those lessons and topics you have completed, so you can easily see your progress. Topics in this module: Arithmetic series Finding the sum of an arithmetic series Finding the sum of an arithmetic sequence

Geometric sequences

• Geometric sequences This free online course covers topics related to geometric sequences. The Contents tab displays all the lessons and topics of the course. Each time you click the Contents tab, you will come to this page. A green tick indicates those lessons and topics you have completed, so you can easily see your progress. Topics in this module: Geometric sequences Is this a geometric sequence? Find a term in an increasing geometric sequence Find a term in a decreasing geometric sequence Which term has that value? Example (b) Example (c) Example (d)

Geometric series

• Geometric series This free online course covers topics related to the geometric series. The Contents tab displays all the lessons and topics of the course. Each time you click the Contents tab, you will come to this page. A green tick indicates those lessons and topics you have completed, so you can easily see your progress. Topics in this module: Geometric series Infinite geometric series Find the sum of an increasing geometric sequence Find the sum of a decreasing geometric sequence How many terms until the sum exceeds 2000? Find the sum of an infinite geometric series Sum a geometric series to infinity

Difference equations 1

• Difference equations 1 This free online course covers topics related to difference equations. The Contents tab displays all the lessons and topics of the course. Each time you click the Contents tab, you will come to this page. A green tick indicates those lessons and topics you have completed, so you can easily see your progress. Topics in this module: Applications of sequences and series Making rungs for a ladder Growing Town

Difference equations 2

• Difference equations 2 This free online course covers topics related to difference equations. The Contents tab displays all the lessons and topics of the course. Each time you click the Contents tab, you will come to this page. A green tick indicates those lessons and topics you have completed, so you can easily see your progress. Topics in this module: Difference equations Generating a sequence from a difference equation Difference equations that represent arithmetic sequences Difference equations that represent geometric sequences Generate the first 4 terms of a sequence Generate the first 4 terms of another sequence Find a general expression for the nth term Find a general expression for the nth term

Difference equations 3

• Difference equations 3 This free online course covers topics related number patterns. The Contents tab displays all the lessons and topics of the course. Each time you click the Contents tab, you will come to this page. A green tick indicates those lessons and topics you have completed, so you can easily see your progress. Topics in this module: Other first order difference equations Solving difference equations Find a general expression for the nth term Find the first term from a given term Find the first term from the second term

Geometry

• Geometry This free online course covers topics related to geometry. The Contents tab displays all the lessons and topics of the course. Each time you click the Contents tab, you will come to this page. A green tick indicates those lessons and topics you have completed, so you can easily see your progress. Topics in this module: Intersection of half planes Finding maximum and minimum values Solving linear and programming problems Solving linear programming problems - example Example part (b)

Straight lines

• Straight lines This free online course covers topics related to the straight line. The Contents tab displays all the lessons and topics of the course. Each time you click the Contents tab, you will come to this page. A green tick indicates those lessons and topics you have completed, so you can easily see your progress. Topics in this module: Straight line graphs The general equation of a straight line Finding the equation of a line Simultaneous equations Method 1 - elimination Method 2 - substitution Sketching linear equations Break even analysis Straight line graphs - gradient Finding the gradient given the coordinates of two points Elimination examples The break even example Sketching linear equations - example 1 Sketching linear equations - example 2 Straight line graphs - gradient example

Graphs

• Graphs This free online course covers topics related to graphs such as time-distance graphs and step graphs. The Contents tab displays all the lessons and topics of the course. Each time you click the Contents tab, you will come to this page. A green tick indicates those lessons and topics you have completed, so you can easily see your progress. Topics in this module: Interpreting graphs Step graphs Distance-time graphs

Power graphs

• Power graphs This free online course is an introduction to the power graphs, and the linear representation of non-linear graphs. The Contents tab displays all the lessons and topics of the course. Each time you click the Contents tab, you will come to this page. A green tick indicates those lessons and topics you have completed, so you can easily see your progress. Topics in this module: Power graphs Linear representation of non-linear graphs

Trigonometry 1

• Trigonometry 1 This free online course covers topics in trigonometry such as the sine rule and cosine rule. The Contents tab displays all the lessons and topics of the course. Each time you click the Contents tab, you will come to this page. A green tick indicates those lessons and topics you have completed, so you can easily see your progress. Topics in this module: Trigonometry introduction Right-angled triangles Solving non right-angled triangles The sine rule The cosine rule The area of a triangle Example Example 2 Cosine rule – Example 1 Cosine rule – Example 2

Trigonometry 2

• Trigonometry 2 This free online course covers topics related to trigonometry, including surface area and volume, and Pythagoras' theorem. The Contents tab displays all the lessons and topics of the course. Each time you click the Contents tab, you will come to this page. A green tick indicates those lessons and topics you have completed, so you can easily see your progress. Topics in this module: Pythagoras' theorem Pythagoras in 3 dimensions Similar figures Surface area and volume Similar figures example Surface area and volume: example 1 Surface area and volume: example 2

Pythagoras and bearings

• Pythagoras and bearings This free online course is an introduction to topics related to Pythagoras. The Contents tab displays all the lessons and topics of the course. Each time you click the Contents tab, you will come to this page. A green tick indicates those lessons and topics you have completed, so you can easily see your progress. Topics in this module: The tomb of Pythagoras activity Angles of elevation and depression Directions and bearings Contour maps Traverse surveys Compass bearings True Bearings Bearings application example Field survey example Field survey example continued Bearings yachting example

Ratio and proportion

• Ratio and proportion This free online course covers topics related to ratios and proportions. The Contents tab displays all the lessons and topics of the course. Each time you click the Contents tab, you will come to this page. A green tick indicates those lessons and topics you have completed, so you can easily see your progress. Topics in this module: Ratio and proportion Simplifying ratios Expressing ratios as a percentage Dividing quantities in a given ratio Applications of ratio and proportion Map scales Dilution factors Photography Gears Finding x values in ratios Map scales: how far is that? Dilution: drug strength Photographing a tree Gearing up... gearing down

Ratio and proportion gears

• Ratio and proportion gears This free online course contains a video relating to ratio and proportion gears. The Contents tab displays all the lessons and topics of the course. Each time you click the Contents tab, you will come to this page. A green tick indicates those lessons and topics you have completed, so you can easily see your progress. Topics in this module: The gears video

Further Maths Glossary

• Further Maths Glossary This free online course is a glossary for maths. The Contents tab displays all the lessons and topics of the course. Each time you click the Contents tab, you will come to this page. A green tick indicates those lessons and topics you have completed, so you can easily see your progress. Topics in this module: Glossary

Assessment

• Assessment Topics in this module: Core Mathematics 2 Assessment

Forum

• Welcome to the forum for Sequences, Series and Equations in Mathematics. In this forum you can do the following: 1) Reply to a thread/comment by clicking on the thread of interest to you 2) Create a new discussion To find out how to use our forums click here.