Comprehensive Math Skills for Advanced Pupils
Enhance math proficiency including algebra, shape, space, and data handling. Explore concepts such as fractions, decimals, algebraic expressions, Pythagoras' Theorem, probability, and statistical analysis.
Comprehensive Math Skills for Advanced Pupils
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Presentation Transcript
NUMBER MENTALLY • Round to 1 significant figure • Understand the effect of × and ÷ by numbers between 0 and 1 • × and ÷ rounded figures WRITTEN METHODS • × and ÷ any numbers • Calculate proportional changes using × only FRACTIONS, DECIMALS AND PERCENTAGES • Understand and use proportional changes • Use a calculator efficiently
ALGEBRA • Describe the nth term of quadratic sequences in symbols • Simplify quadratic expressions • Multiply out double brackets like (x+ 2)(x- 4) • Solve simultaneous equations and simple inequalities using algebra • Solve simultaneous equations using a graph
SHAPE • Understand and apply Pythagoras’ Theorem • Calculate lengths, areas and volumes in plane shapes and right prisms SPACE • Enlarge shapes by a fractional scale factor • Understand similarity • Determine the locus of moving object according to a rule MEASURE • Appreciate the imprecision of measurement and understand levels of accuracy • Understand and use compound measures e.g. speed
HANDLING DATA STATISTICS • Specify and test hypotheses • Take account of bias or variability • Use frequency polygons to compare distributions • Draw a line of best fit on a scatter graph • Calculate modal class and estimate mean, median and range of grouped data • Select the most appropriate PROBABILITY • Understand relative frequency • Compare the outcomes of experiments