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CURRICULUM SUMMARY – January to April 2017 SUBJECT: Mathematics Week YEAR GROUP: Year 8 Dates 1 Learning objectives LOCI, BEARINGS, CONSTRUCTIONS Understand what a bearing is. Be able to work out and measure bearings. Draw a tangram polygons. Use tangram polygons to a recreate given shape. Revise loci, bearings and constructions. 2 2-5 Jan 9 -13 Jan 3 16-20 Jan 4 23-27 Jan FRACTIONS, DECIMALS, PERCENTAGES Find percentage of a given number. Express one given number as a percentage of another. 5 30 Jan-3 Feb Understand and use percentage increase and decrease. 6 6 – 10 Feb Understanding simple and compound interest. Use the compound interest formula. 7 13 - 17 Feb RATIO AND PROPORTION Use ratio notation, simplify by cancelling. Understand direct and inverse proportionality. 8 20 – 24 Feb 27 Feb -3 Mar TEACHER: Agata Piskorz Activities (in brief) Finding bearings of compass directions. Finding bearings of a given point from another. Solving practical and theoretical problems. Preparing tangram sets. Using the sets to make tangram shapes. Designing students’ own shapes. Making posters. Solving different practical and theoretical problems. Writing a test. Feedback of the test. Converting between fractions, percentages, decimals. Mentally calculating simple percentages of a number or quantities. Calculating percentages with a calculator. Expressing a given number as percentage of another one . Finding the outcome of a given percentage increase or decrease. Using decimals to find outcome of a given percentage increase or decrease. Given the outcome and the initial number, finding the percentage increase or decrease. Introducing simple and compound interest. Extracting data from tables and charts. Using given data to solve problems on personal and household finance involving earnings, simple interest and compound interest. Revising. Writing a test. Feedback of a test. Dividing a quantity into two or more parts in a given ratio. Using direct proportion in simple contexts. Expressing direct and inverse variation in algebraic terms and use this form of expression to find unknown quantities. Mid-Term Break GEOMETRY Using units of measurement to estimate, calculate and solve 9 6 – 10 Mar 10 13 – 17 Mar 11 20 – 24 Mar 12 27 – 31 Mar Know definition of a circle and names of its parts. Know and use the formulae for the circumference and area of a circle. STATISTICS AND PROBABILITY Understand probability of an event. Understand and use the probability scale from 0 to 1. Know and use probabilities of complementary events. 13 3 – 7 Apr Derive formulae for area of triangle, parallelogram and trapezium. Calculate area of a triangle; parallelogram and trapezium. Calculate area of compound shapes. Know, understand and use the Pythagoras theorem. Appreciate that random processes are unpredictable. Understand the concept of experimental probability. Understand that increasing the number of times an experiment is repeated generally leads to better estimates of probability. Collect and display data. Identify which chart is most suitable. Analyse and process data. Write a statistical report. problems in everyday contexts including length, area, volume, capacity and mass Deriving and using formulae for the area of a triangle, parallelogram and trapezium. Calculating areas of compound shapes made from rectangles and triangles. Pythagoras theorem – graphical representation. Using the Pythagoras theorem to find lengths of sides of triangle. Solving word problems and investigating in a range of contexts: length, perimeter and area. Solving problems involving the circumference and the area of a circle. Using vocabulary and ideas of probability, Finding record of outcomes in a systematic way. Finding and justify probabilities based on equally likely outcomes in simple contexts. Calculating probabilities using the fact that if the probability of an event occurring is p then the probability of it not occurring is 1-p. Using tables to represent sample space diagrams. Estimating probabilities from experimental data. Comparing experiment and theory. Planning data collection. Discussing problems that can be addressed by statistical method and identify related questions to explore. Collecting data using a suitable method. Constructing pie charts, bar graphs and scatter diagram. Interpreting tables, diagrams and graphs for different types of data.