Maths

Year 10

Tute’s team of experienced teachers have planned our lessons to work alongside what students are studying in school; to enable catch-up, to consolidate something that was difficult to master in class or to help revise for exams. To make is easy to choose lessons for different subjects, year groups and levels, we have organised lessons into topics that are fully aligned with the National Curriculum ensuring a comprehensive coverage of the curriculum that makes sense!

All you need to do is select the topic and then the level you feel is appropriate and you will find a list of suitable lessons that you can book for just £12 inc. VAT

Fractions and percentages


This module will concentrate on calculating with fractions and percentages. We will start by adding, subtracting, multiplying and dividing fractions, before moving on to finding the percentage of a quantity with and without a calculator, and concluding with solving problems involving growth and decay.

Adding and subtracting fractions with different denominators

To add and subtract same denominator fractions, to add or subtract fractions with different denominators and to add and subtract mixed number fractions.

Multiplying and dividing fractions

To multiply fractions and to divide fractions.

Calculating fractions of a whole numbers 

To multiply a fraction by a whole number and to find a fraction of a quantity.

Calculating the percentage of an amount without a calculator

To calculate simple percentages of a quantity and to calculate any percentage of a quantity without a calculator

Calculating a percentage and percentage change with a calculator

To find a percentage multiplier, to find a percentage with a calculator and to calculate the percentage change.

Calculating compound interest and solving growth and decay problems

To express multiple percentage changes as multipliers, to calculate compound interest and to solve growth and decay problems.

Angles and right angles


This module will primarily be focusing on Pythagoras and trigonometric problems starting with basic diagrams before moving on to questions involving bearings and angles of elevation. The other lessons will focus on drawing bearings and calculating interior and exterior angles in polygons. 

Using Pythagoras’ theorem to decide if a triangle is right-angled

To identify Pythagorean triples and to calculate the length of a hypotenuse.

Solving real-world problems involving Pythagoras’ theorem

To calculate the length of one of the shorter sides and to solve problems using Pythagoras’ theorem.

Trigonometry: - labelling triangles correctly and finding missing lengths  

To correctly label a triangle and to find a missing length.

Trigonometry – finding missing angles and solving problems

To find a missing angle and to solve problems involving bearings and elevations

Drawing, measuring and calculating bearings

To draw and measure bearings, to calculate bearings and to solve bearings problems and link to other topics.

Finding the interior or exterior angle of a regular polygon

To find the sum of angles in a polygon, to find the external angle of a regular polygon and to find the internal angle of a regular polygon.

Equations, expressions and sequences


During this topic we will be looking at equations, expressions and sequences. We will start with simplifying expressions by collecting like terms, before moving onto more complicated aspects of expressions such as expanding and factorising, including basic quadratics. Following on from expressions we will look at solving two step equations before solving simultaneous equations by elimination and substitution. The final lesson of the topic will be sequences and, more specifically, finding the nth term of a linear sequence.

Simplifying expressions with one and two terms

To simplify expressions with one term and to simplify expressions with two terms.

Expanding and simplifying expressions involving single brackets

To expand single brackets, to expand and simplify multiple brackets in an expression and to expand double brackets.

Factorising linear and basic quadratic expressions

To factorise with a numerical common factor, to factorise with an algebraic common factor and to factorise x2+bx+c.

Creating and solving equations

To solve one step equations, to solve two step equations and to create and solve equations from statements.

Solving simultaneous equations  

To solve using elimination and to solve using substitution.

Naming special sequences and finding the nth term of a sequence 

To recognise and name special sequences, to continue a sequence, to use the rule of a sequence to generate a sequence and to find the nth term of a sequence.

Mensuration


This topic will focus on perimeter, area and volume. The first lessons will look at the area of basic and compound shapes before moving on to calculating the surface area of a 3D shape. During this module we will also apply the knowledge of the previous lessons to find the volume of a prism. The final lessons will be based around similarity, congruence and enlargement. In these lessons the students will learn how to identify congruent triangles as well as finding missing lengths of similar shapes. The enlargement lesson will primarily focus on the ray method which most students find challenging.

Calculating the area of compound shapes.   

To find the perimeter and area of a compound shape.

Finding the area and circumference of a circle 

To calculate the circumference and area of a circle.

Calculating the surface area of 3D shapes

To recognise 3D shapes and nets of a 3D shape, to calculate the surface area of a cube or cuboid and to calculate the surface area of a triangular prism.

Volume of cuboids and prisms

To calculate the volume of a cuboid and to calculate the volume of a prism.

Describing similarity and congruence

To find the scale factor of enlarged shapes, to identify congruent shapes, to apply SSS, ASA and SAS rules and to find missing lengths of similar shapes.

Using the ray method to enlarge shapes

To enlarge a shape by a scale factor and to enlarge a shape by a scale factor from a centre of enlargement.

Continuous data and advanced probability


This topic will be split into two parts, continuous data and probability. We will start with calculating averages from tables, which will include the mean and median, before moving on to seeing how we can display continuous data in frequency diagrams, frequency polygons and scatter graphs. During the scatter graphs lesson we will also be covering how to draw the line of best fit as well as drawing conclusions and making predictions. The second part will take in probability, more specifically theoretical probability and relative frequency. The topic will conclude with lessons on calculating probabilities using tree diagrams as well as Venn diagrams.

Calculating averages from grouped data and tables

To calculate MMMR from a table and from grouped data.

Displaying continuous data 

To draw and interpret a frequency diagram
and polygons.

Scatter graphs

To plot a scatter graph and to draw a line of best fit and use it to make estimations.

Relative frequency and experimental probability. 

To estimate the probability from a set of results and to estimate outcome of an event.

Using tree diagrams for compound probabilities 

To define the terms ‘independent’ and ‘mutually exclusive’, to calculate compound probabilities and to use a tree diagram to calculate probabilities.

Venn diagrams 

To recall the notation of Venn diagrams, to calculate probability using a Venn diagram and to apply the correct notation for Venn diagrams.

Indices, rounding and ratio


This topic will focus on some of the skills needed throughout the maths GCSE. We will start with applying prime index form to find the highest common factor and lowest common multiple of two numbers. Following on from this we will look at rounding and estimating before covering ratio in depth. The final lessons will involve some power work, specifically index laws and standard form.

Prime index form 

To identify and recall prime numbers up to 20 and to express a number in prime index form.

Finding HCF and LCM using factor trees

To use prime factors to determine the HCF and to use prime factors to determine the LCM.

Rounding to decimal places, significant figures and estimation

To round to the nearest decimal place, to round to significant figures and to estimate calculations.

Simplifying, and sharing in a ratio 

To express a fraction in its simplest form, to express a ratio in its simplest form, to split a number into a given ratio and to calculate one side or a ratio when given the other.

Index laws including negative and fractional powers

To recall and apply index laws, to calculate with negative powers and to calculate with fractional powers.

Changing to and from standard form and calculating in standard form 

To convert numbers into standard form, to convert numbers out of standard form and to calculate with numbers in standard form.

Safe & Secure

Safeguarded

Tute is used in hundreds of schools and is approved by local authorities. We conform to the highest safeguarding standards, and have the necessary tools to help support young people with SEND.

Recorded

Every Tute session is recorded. This means that we monitor every lesson and ensure the very best quality of teaching. Parents can review the lesson too, as can the student for revision.

Professional

Our teachers are qualified, and are DBS checked. As trained professionals they have a natural authority, and can manage effective and engaging classes.

Meet the teaching team

Tute teachers are professional, qualified and expert in online teaching

Meet the team

Our Guarantee

No risk, all reward. If you’re not completely satisfied we will give you your money back.

Read More

Our Purpose

“Tute’s purpose is to make the best teaching available to all, irrespective of location or background”

Read More