# GCSE Foundation Maths

 Week Beginning Topic Weekly worksheets and selected old syllabus exam questions 18.09 Induction, British values, ground rules, BIDMAS, symbols including <, >, ≤, ≥, √ and negative number arithmetic. Some of this was in the written assessment test you did before joining the course. Download the Topic Guide [PDF] for the first 8 weeks. Homework 1 25.09 Types of number. Factors and multiples, HCF and LCM. Find the prime factors of a number. Challenge: find the LCM and HCF of two large numbers using prime factors and a Venn diagram. Powers and roots. Using a scientific calculator. 02.10 Place value, rounding, estimating. Decimal places and significant figures. Standard form. Calculate the value of a fraction of a quantity. Calculate the value of a percentage of a quantity. 09.10 Fractions. Simplify, recognise equivalent fractions, put fractions in order of size. Add, subtract, multiply and divide fractions. Convert to and from mixed numbers. Add, subtract, multiply and divide with decimal numbers. Solve everyday problems using paper and pencil methods. Much of this lesson builds on the written test you took before joining the course. Equivalent Fractions Write one number as a fraction of another Putting fractions in order Fractions: add or subtract, multiply, divide Convert to and from mixed Decimals: add, subtract multiply, divide Fractions: add, subtract, multiply and divide [answers] Decimals: add, subtract [ answers ], multiply and divide, [ answers ] Putting fractions and decimals in order of size [ answers ] 16.10 FDP and percentages. Convert between fractions, decimals and percentages. Percentage increase and decrease. Write one number as a percentage of another number. Questions in context. Convert fractions to decimals and decimals to fractions Convert percentage to fraction and fraction to percentage Convert percentage to decimal and decimal to percentage Percentage increase and decrease Writing one number as a percentage of another 23.10 Half term. No lesson so lots of links and homework. 30.10 Reverse percentages and compound interest. New topics on the Foundation syllabus and ususally calculator based. Homework 06.11 Number review. A chance to review the number work and to try a short test to revise what you know. Use the test to find number skills that you need more work on - adopt those as self-study targets. A change from Corbett. Some short videos from some time ago produced by a project somewhere in Salford. Each is about 3 minutes. 13.11 Ratio and proportion. Simplify ratios including with decimals and fractions and in units. Write a ratio in the form 1:N or N:1. Divide a number in a given ratio. Find the value of one share given the value of the other share in a ratio. Solve problems using proportion. Solve problems involving recipes. I'm looking for visual method videos as well for ratios. 20.11 Algebra Part 1: how the notation works. I'm introducing the rules and notation of algebra. You might want to review arithmetic with negative numbers and BIDMAS before launching into this one. 27.11 Algebra Part 2: making and solving equations. Making expressions from situations described in words and some shape based situations. Solving equations where the unknown does not have a power. Changing the subject of a formula. 04.12 Algebra Part 3: multiplying and factorising two brackets. New topic on Foundation, how to multiply out two brackets each with two terms like (x + 3)(x - 2). Factorising a quadratic (with just x2 term). The difference of two squares - a useful identity. 11.12 Data Lesson 1. Pictograms, bar charts, pie charts, line charts including time series, and plotting coordinates on a set of axes. Download the topic gude for charts and averages that we used in the lesson. Bar charts: Draw | Interpret Pie charts: Draw | Interpret Line graphs Stem and Leaf diagrams: Draw | Interpret 18.12 Probability Lesson 1. Basic probability concepts and vocabulary including the likelihood words. Calculating simple probabilities, calculating the expected frequency of an outcome, and solving problems to do with mutually exclusive events and to do with independent events. 22.12 to 05.01 Christmas break. Busy for some, less busy for others, have a go at Worksheet 13 the Christmas questions. They cover many of the topics from the first term. 08.01 Probability Lesson 2. Frequency trees, tree diagrams and possibility spaces. Venn diagrams and probability. Review of last half term and practice for progress test. Basics of plotting points and coordinates. Tree diagrams [ Answers ] 15.01 Progress review and personal targets!. Selected questions from past papers, a 45 minute test and a chance to assess your strenghths and weaknesses in maths. Challenge: Have a look at the error intervals video. This is a topic new on Foundation, I'll be covering it as part of the lesson on calculating perimeters and areas and also in the lesson on speed distance and time later on. Onmaths interactive exam papers Onmaths topic questions about number work - mostly whole numbers, standard form and factors and multiples Onmaths topic questions about proportion including percentages and ratios and fractions Onmaths topic questions about data and probability Challenge: Error Intervals [ Corbett ] 22.01 Algebra Part 4: All about plotting graphs. Recap of coordinates, plotting 'special' lines like x = 4 and y = -3. Plotting the graph of a straight line from its formula. Finding the gradient and intercept of a straight line. Writing the formula from the gradient and the intercept. Linear sequences and the nth term. Plotting curved graphs. 29.01 Algebra Part 5: Simultaneous equations: Revise solving equations and setting up equations from situations described in words. Recognise and solve simultaneous equations in two unknowns. Solve simultaneous equations by plotting each equation on a graph. Set up simultaneous equations from situations described in words. Simultaneous equations: elimination method Simultaneous equations: substitution method Hegarty Maths simultaneous equations 15 minute video 05.02 Algebra Part 6: Inequalities, sketching quadratic and other graphs, and algebra recap: Match an inequality like -4 < h ≤ 4 to a number line representation. Write down the integer values that satisfy an inequality. Solve inequalities like 4x ≤ 6. Sketching graphs by spotting important relationships in their formulas without calculating a table of values. General algebra review with a collection of exam questions to work through. Inequalities [ Answers ] 12.02 Algebra Part 7: Sequences: Recognise and continue sequences e.g. triangle numbers, arithmetic progressions, square numbers, the fibonacci sequence. Generate sequences using a term-to-term rule or a position-to-term rule. Find a formula for the nth term of a linear sequence and solve problems about integers belonging to a given linear sequence by solving equations. 19.02 Half term: Worksheet 20 with lots of algebra questions. A set of worked solutions to worksheet 20. 26.02 Mensuration: shape formulas; perimeter, area, volume and surface area. You need to learn the formulas for area of a rectangle, triangle, parallelogram and trapezium as well as the circle formulas. The questions will include 'inverse' questions (e.g. pour water into a tank of given dimensions, how deep will the water be?). I've broken the videos up into four sections - try one section at a sitting over four days. Shape basics Circles and π Volumes Nets and surface area 05.03 Angle facts: angles at a point, on a line, in a triangle and on parallel lines. Explaining reasons for answers. Interior and exterior angles of a polygon 12.03 Similar and congruent triangles, Pythagoras' result and trigonometry 19.03 Compound measures: Speed, distance and time. Density. Pressure. Metric unit conversions and names. 26.03 Mock exam and review of shape so far 02.04 Easter: two weeks out. Past paper set provided plus number revision materials.

Index page, topic guides and homeworks by Keith Burnett, 2017/8.
Thanks to all the teachers out there generously providing video lessons!