St John s Curriculum Overview Year 8

Transcription

1 St John s Curriculum Overview Year 8 Introduction Subject title Mathematics During the course of the year students will build upon their knowledge Setting arrangements Time allowance each fortnight Students placed in sets based on prior attainment in Year 7 In each band there will be sets 1 to 4 (or 5) 6 hours and learning from Year 7 from the following units of study: Number, geometry, data handling and algebra. Topics, Skills and Assessment covered during the course Term Topic Subject specific topic questions Subject Content and Assessment details Skills Term 1 What shapes are houses and castles made from and what is the volume of a plinth that a Greek god rests on? Area and Perimeter Area and perimeter of 2D shapes, including compound shapes Circumference and area of a circle Surface Area and Volume Surface area and volume of cubes, cuboids and right angled prisms Surface area and volume of cones, spheres and pyramids Pythagoras and Trigonometry Pythagoras to calculate missing side lengths in right angled triangles Trigonometric ratios to calculate missing side lengths and angles in right angled triangles Angles Calculating angles in triangles and quadrilaterals Drawing and calculating bearings Calculating interior and exterior angles in polygons Circle Theorems Identifying angles in simple circle theorems will be placed on SMHW by the class teacher

2 Term 2 How much electricity is produced by wind turbines and farms in different countries. What is a vanities and what will yours symbolise? Negative Numbers Using negative numbers in context Adding, subtracting, multiplying and dividing with negative numbers Divisibility and Number Skills Using laws of divisibility Adding, subtracting, multiplying and dividing integers Multiples, Factors and Primes Common multiples, common factors, lowest common multiple and highest common factor Prime factor decomposition Prime factor decomposition to calculate LCM and HCF Index Notation and Roots Using index notation for small positive integer powers Recognising square roots positive and negative Index notation for fractional and negative powers Standard Form Writing very small and very large numbers in standard form Converting numbers written in standard form to ordinary numbers. Fraction Arithmetic Finding fractions of whole number quantities Add, subtract, multiply and divide by an integer Add, subtract, multiply and Fractions, Decimals and Percentages Convert between and recognise the equivalence of fraction, decimal and percentage conversions Order fractions by converting to a decimal Change a recurring decimals into a fraction Percentages Calculating percentages of amounts Reverse percentages 30 minute skills based assessment will be completed in class. A list of revision topics

3 Term 3 How many bacteria can be reproduced over a 24 hour period? What weight of ingredients will I need to make valentine cookies for different numbers of people? Ratio and Proportion Understanding simple ratio statements and problems Dividing a quantity into two or more parts Using unitary methods and multiplicative methods to solve ratio and proportion problems Best Buys Compound Measures Speed (inc interpreting and drawing distance time graphs) Density Scale Diagrams and Scale Factors Make simple scale drawings Use and interpret map scales Understand and use similarity in simple 2d shapes Term 4 How many slaves can fit on board a slave ship? Sequences Generate and describe integer sequences Generate sequences from practical contexts and describe the general term Generate terms of a linear sequence using term to term and position to term definitions of the sequence Describe and use the nth term of a linear sequence. Describe in symbols or words the rule for a quadratic sequence Algebra Basics Use letter symbols to represent unknown numbers or variables Simplify linear algebraic expressions by collecting like terms Multiply a single term over a brackets Solving equations Constructing and solving linear equations with integer coefficients with unknowns on one side. Construct and solve linear equations with integer coefficients where the unknown is on either or both sides, with and without brackets. Construct and solve linear equations with integer coefficients with and without brackets and negative signs anywhere in the equation. Solve simultaneous equations Formulae Substitute into worded and algebraic formulae (including powers). Derive simple formulae

4 Change the subject of formulae Straight line graphs Generate coordinate pairs that satisfy a simple linear rule Recognise straight line graphs parallel to the x and y axis Plot the graphs of linear functions, where y is given explicitly in terms of x Find the midpoint of a line Recognise that equations of the form y=mx + c correspond to straight line graphs Plot graphs of linear functions where y is given implicitly in terms of x Given values of m and c, find the gradient of lines given by equations of the form y = mx + c Identify parallel lines and perpendicular lines from their equations Identify and plot quadratic, cubic exponential and reciprocal graphs Year 8 Summative Assessment covering topics from Terms x non calculator 50-minute paper 1 x calculator 50 minute paper A list of revision topics Term 5 How has mobile phone ownership changed over the last 20 years? What is the average length of words used in books from the horror genre? Constructions Constructing triangles given two sides and an included angle or three sides Construct nets of 3D solids Midpoint and perpendicular bisector of a line segment and angle bisectors Plans and Elevations Visualise and use 2D representations of 3D objects Analyse 3D shapes through 2D projections, including plans and elevations Measures Suggest suitable units and measuring equipment to estimate or measure length, mass and capacity Convert between metric units Convert between area measures and volume measures Transformations Carry out and describe, reflections, rotations and translations on a coordinate grid Carry out and describe positive scale factors of enlargement Cary out and describe negative and fractional scale factors of enlargement 30 minute skills based assessment will be completed in class. A list of revision topics

5 Term 6 How many codes can you crack? How much will a holiday abroad cost for a family of four? Graphs, Charts and Diagrams Extract ad interpret information presented in tables, lists and bar charts and pictograms Interpret diagrams and graphs and draw conclusions Create and interpret for suitable data: pie charts, steam and leaf diagrams and scatter graphs Draw the line of best fit on a scatter graph and use it Describe the correlation a scatter graph shows Draw frequency diagrams for grouped continuous data Recognise when a graph is misleading and explain why Calculate the lower and upper quartiles for a data set and hence find the interquartile range Construct a box plot (discrete data only) Resources Recommended for Revision and where they are available: GCP Workbook and revision guide available to purchase from the school library maths.co.uk login: graham password: scalene Homework 1 x 30 minutes each week All homework will be set through Show My Homework Assessments: Students will have 6 assessments throughout the year, that will be delivered and marked by class teachers. Students will complete a question level analysis after each assessment highlighting the topics that need further revision and practice Extra-Curricular: TBA