Simplifying expressions.
Indices.
Expanding and factorising.
Algebraic fractions.
Trigonometric ratios. Use 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
place value
the numerical value that a digit has by virtue of its position in a number.
rounding
alter (a number) to one less exact but more convenient for calculations.
indices
The index of a number says how many times to use the number in a multiplication. It is written as a small number to the right and above the base number.
factorise
Finding what to multiply to get an expression
Develop the individual:
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.
Create a supportive community:
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
fraction
a numerical quantity that is not a whole number (e.g. 1/2).
angle
The space (usually measured in degrees) between two intersecting lines or surfaces at or close to the point where they meet.
quadrilateral
a four-sided figure.
congruence
Exactly equal in size and shape
polygon
a plane figure with at least three straight sides and angles, and typically five or more.
average
a number expressing the central or typical value in a set of data, in particular the mode, median, or (most commonly) the mean, which is calculated by dividing the sum of the values in the set by their number.
Develop the individual:
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.
Create a supportive community:
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
formulae
a mathematical relationship or rule expressed in symbols.
equivalence
the condition of being equal or equivalent in value, worth, function, etc.
expanding
Expanding" means removing the brackets ( )
factorising
Factorising is the reverse of expanding brackets
angle
The space (usually measured in degrees) between two intersecting lines or surfaces at or close to the point where they meet.
2D
the quality of being two-dimensional.
Develop the individual:
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.
Create a supportive community:
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.
There is no assessment for this term.
probability
the extent to which an event is likely to occur, measured by the ratio of the favourable cases to the whole number of cases possible.
experiment
A scientific procedure undertaken to make a discovery, test a hypothesis, or demonstrate a known fact.
mutually exclusive
In logic and probability theory, two events (or propositions) are mutually exclusive or disjoint if they cannot both occur (be true)
estimation
a rough calculation of the value, number, quantity, or extent of something.
measure
ascertain the size, amount, or degree of (something) by using an instrument or device marked in standard units.
accuracy
the quality or state of being correct or precise.
Develop the individual:
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.
Create a supportive community:
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.
Year 10 examination : T1, T2, T3 and T4.
2 x 90 minute papers
1 calculator and 1 non calculator paper
linear
involving or exhibiting directly proportional change in two related quantities.
equation
a statement that the values of two mathematical expressions are equal (indicated by the sign =).
quadratic
involving the second and no higher power of an unknown quantity or variable.
simultaneous
equations involving two or more unknowns that are to have the same values in each equation.
approximate
used to show that something is almost, but not completely, accurate or exact; roughly.
inequality
the relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than’, or < ‘less than’.
theorem
a general proposition not self-evident but proved by a chain of reasoning; a truth established by means of accepted truths.
Develop the individual:
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.
Create a supportive community:
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: All material covered throughout Year 10.
1 non-calculator paper and 1 calculator paper
ratio
the quantitative relation between two amounts showing the number of times one value contains or is contained within the other.
percentage
rate, number, or amount in each hundred.
multiple
a number that may be divided by another a certain number of times without a remainder.
power
The power of a number says how many times to use the number in a multiplication.
root
The root of a number x is another number, which when multiplied by itself a given number of times, equals x.
surd
a surd number, especially the irrational root of an integer.
Develop the individual:
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.
Create a supportive community:
Students own social development is widened through paired work where students discuss mathematical concepts and solve unfamiliar problems.. .