# 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

#### Multiplying and dividing fractions

#### Calculating fractions of a whole numbers

#### Calculating the percentage of an amount without a calculator

#### Calculating a percentage and percentage change with a calculator

#### Calculating compound interest and solving 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

#### Solving real-world problems involving Pythagoras’ theorem

#### Trigonometry: - labelling triangles correctly and finding missing lengths

#### Trigonometry – finding missing angles and solving problems

#### Drawing, measuring and calculating bearings

#### Finding the interior or exterior 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

#### Expanding and simplifying expressions involving single brackets

#### Factorising linear and basic quadratic expressions

#### Creating and solving equations

#### Solving simultaneous equations

#### Naming special sequences and finding 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.

#### Finding the area and circumference of a circle

#### Calculating the surface area of 3D shapes

#### Volume of cuboids and prisms

#### Describing similarity and congruence

#### Using the ray method to enlarge shapes

### 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

#### Displaying continuous data

#### Scatter graphs

#### Relative frequency and experimental probability.

#### Using tree diagrams for compound probabilities

#### 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

#### Finding HCF and LCM using factor trees

#### Rounding to decimal places, significant figures and estimation

#### Simplifying, and sharing in a ratio

#### Index laws including negative and fractional powers

#### Changing to and from standard form and calculating 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.