Terms and expressions.
Simplifying expressions .
Rules of indices.
Expanding and factorising into single brackets.
Trigonometric ratios. Use trigonometric ratios to find missing angles and lengths in right-angled triangles and solve problems.
Angles and parallel lines.
Angles in triangles and quadrilaterals.
Congruence and similar shapes.
Angles in polygons.
Test on: Expressions, Calculations & Angles
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.
expressions
a collection of symbols that jointly express a quantity.
indices
an exponent or other superscript or subscript number appended to a quantity.
factorise
(with reference to a number) resolve or be resolvable into factors.
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 and data collection.
Organising data.
Representing data: two-way tables, frequency tables, stem and leaf diagrams, pictograms, bar charts, frequency trees.
Averages and the range.
Grouped frequency tables and estimating the mean from a grouped frequency table.
Scatter graphs and correlation.
Fractions, decimals and percentages.
Calculations with fractions.
Converting between fractions, decimals and percentages.
Test on: T1 topics and Data Handling, Fractions, Decimals and Percentages
sampling
take a sample or samples of (something) for analysis.
scatter graph
A scatter plot is a set of points plotted on a horizontal and vertical axes.
correlation
a mutual relationship or connection between two or more things.
time series
a series of values of a quantity obtained at successive times, often with equal intervals between them.
decimal
relating to or denoting a system of numbers and arithmetic based on the number ten, tenth parts, and powers of ten.
fraction
a numerical quantity that is not a whole number (e.g. 1/2)
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.. .
Substituting into formulae, using standard formulae and rearranging formulae.
Equations, identities and functions.
Expanding and factorising double brackets.
Measuring lengths and angles.
Bearings
Area of 2D shapes: rectangle, triangle, parallelogram, trapezium, compound shapes.
Transformations: rotations, reflections, enlargements and translations.
Test on: T1 and T2 topics. Formulae & functions & Working in 2D
formulae
a mathematical relationship or rule expressed in symbols
equation
a statement that the values of two mathematical expressions are equal (indicated by the sign =)
function
a relation or expression involving one or more variables
factorise
(with reference to a number) resolve or be resolvable into factors.
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, expected outcomes and relative frequency.
Theoretical probability.
Mutually exclusive events.
Estimating calculations.
Using a calculator.
Metric units.
Limits of accuracy: 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.
outcome
the way a thing turns out; a consequence.
theoretical
Based on or calculated through theory rather than experience or practice.
mutually exclusive
Mutually exclusive" is a statistical term describing two or more events that cannot occur simultaneously.
estimation
a rough calculation of the value, number, quantity, or extent of something.
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 with brackets and/or fractions.
Solving quadratic equations algebraically and by factorising.
Simultaneous equations.
Proportion and ratio.
Scales and scale diagrams.
Percentage change.
Factors and multiples, including HCF/LCM.
Product of prime factors
Parts of a circle.
The area and circumference of a circle.
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.
inequality
The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than’, or < ‘less than’.
construction
Construction is the act of drawing geometric shapes using only a compass and straightedge
loci
A curve or other figure formed by all the points satisfying a particular equation of the relation between coordinates, or by a point, line, or surface moving according to mathematically defined conditions.
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.. .
Circles: calculating arc length and the area of a sector
Calculations involving powers and roots
Standard ruler and compass constructions: perpendicular bisector, angle bisector, constructing triangles
Solving problems using loci
Test on:
All material covered throughout Year 10
1 Calculator paper and 1 non-calculator paper
proportion
a part, share, or number considered in comparative relation to a whole.
ratio
The quantitative relation between two amounts showing the number of times one value contains or is contained within the other.
percentage
Parts per 100
factor
Factors are numbers we can multiply together to get another number.
multiple
a number that may be divided by another a certain number of times without a remainder.
prime factor
A factor that is a prime number
root
a number or quantity that when multiplied by itself, typically a specified number of times, gives a specified number or quantity.
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. 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.. .