Simplifying expressions.
Indices.
Expanding and factorising.
Algebraic fractions.
Trigonometric ratios to find missing angles and lengths in right-angled triangles, and to solve problems.
Angles and parallel lines.
Properties of, and angles in, triangles and quadrilaterals.
Angles in polygons.
Congruence and similarity.
Test on: Expressions, Calculations 1, Angles and polygons
Skills such as confidence with numeracy and rounding benefit our students’ functioning in society. Algebra provides opportunities for students to develop a sense of “awe and wonder” by using letters to represent variables. Students are encouraged to question “why”; they compose proofs and arguments and make assumptions when analysing a problem. For example, students develop algebraic fluency throughout the curriculum. Algebra is a uniquely powerful language that enables students to describe and model situations. Students learn geometrical reasoning through knowledge and application of angle rules and coditions for similarity and congruency. Students develop algebraic fluency throughout the curriculum.
Students own social development is widened through paired work where students discuss mathematical concepts and solve unfamiliar problems.. .
Sampling.
Organising data.
Representing data: pie charts, frequency diagrams, box plots, cumulative frequency graphs, histograms.
Averages and spread (including quartiles and the interquartile range).
Scatter graphs and correlation, including correlation vs causation.
Time series.
Fractions and percentages.
Calculations with fractions.
Converting between fractions, decimals and percentages.
Recurring decimals.
Test on: T1 topics and Data handling 1 & 2, Fractions, Decimals & Percentages
Student’s understanding of statistics is developed to a depth that will equip them to identify when statistics are meaningful or when they are being used inappropriately (eg in newspapers or on social media). The skill of interpreting data will benefit students’ functioning in society. Students will understand how to interpret graphs and charts, and be able to compare statistical distributions. Competance with percentages benefits our students’ functioning in society: sales, interest rates, taxes.
Students own social development is widened through paired work where students discuss mathematical concepts and solve unfamiliar problems.. .
Substitution into a formula and rearranging formulae.
Functions, including composite and inverse.
Algebraic expressions, identities and formulae.
Expanding and factorising double brackets, including difference of two squares.
Algebraic fractions.
Measuring lengths and angles.
Bearings.
Area of 2D shapes: triangle, parallelogram, trapezium and compound shapes.
Transformations (rotations, reflections, translations and enlargements)
Test on: T1 and T2 topics, Formulae & Functions & Working in 2D
Students will learn about transformations of shapes. They will enlarge shapes by different scale factors. Algebra provides opportunities for students to develop a sense of “awe and wonder” by using letters to represent variables. Students are encouraged to question “why”; they compose proofs and arguments and make assumptions when analysing a problem. For example, students develop algebraic fluency throughout the curriculum. Algebra is a uniquely powerful language that enables students to describe and model situations.
Students own social development is widened through paired work where students discuss mathematical concepts and solve unfamiliar problems.. .
Probability experiments and relative frequency.
Theoretical probability.
Mutually exclusive events and probability tree diagrams.
Estimation and approximation.
Efficient use of a calculator.
Measures and accuracy, including error intervals and upper and lower bounds.
Students will calculate measures of speed, distance, time, density, mass and volume.
The topic of probability provides opportunities for students to consider whether situations are fair or biased and discuss gambling, betting, lotteries, raffles and games of chance. A knowledge of probability will benefit students’ functioning in society as they will understand bias and the chance of an event happening. By exploring upper and lower bounds students will be able to understand limits of accuracy. This skill will benefit students’ functioning in society.
Students own social development is widened through paired work where students discuss mathematical concepts and solve unfamiliar problems.. .
Solving linear equations.
Solving quadratic equations using factorisation, completing the square and the quadratic formula.
Solving simultaneous equations.
Approximate solutions using iterative methods
Proportion.
Ratio and scales.
Percentage change and reverse percentages.
Factors and multiples.
Powers and roots including laws of indices.
Surds.
Area and circumference of a circle.
Calculating arc lengths and the area of a sector.
Y10 exam on: T1, T2, T3 and T4 topics and Equations and inequalities, Ratio and proportion, Factors, Powers & Roots.
All mathematics has a rich history and a cultural context in which it was first discovered or used, for example, students will consider how pi was first discovered. Numerical fluency and an understanding of proportion will benefit students’ functioning in society. For example to be able to convert between units, or state which is the better value for money? When solving mathematical problems students will develop their creative skills. When solving mathematical problems students will develop their creative skills. Students develop algebraic fluency throughout the curriculum. Algebra is a uniquely powerful language that enables students to reflect on experiences in order to describe and model situations.
Students own social development is widened through paired work where students discuss mathematical concepts and solve unfamiliar problems.. .
End of year 10 exams.
Approximate solutions and iteration.
Representing inequalities on a number line and as regions.
Solving inequalities.
Constructions using a ruler and compass: perpendicular bisector, angle bisector and constructing triangles.
Solving problems using loci.
Test on: T5 & T6 curriculum
50 mins
Non-calculator
Algebra provides opportunities for students to develop a sense of “awe and wonder” by using letters to represent variables. Students are encouraged to question “why”; they compose proofs and arguments and make assumptions when analysing a problem. For example, students develop algebraic fluency throughout the curriculum. Algebra is a uniquely powerful language that enables students to describe and model situations.
Students own social development is widened through paired work where students discuss mathematical concepts and solve unfamiliar problems.. .
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