# Maths

## Year 7 (Higher)

#### 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, decimals and percentages (Higher)

This topic will be covering different applications of fractions a and percentages which can be used in other subjects. The first lessons will cover simplifying fractions and applying the four operations to them. We will then move on to ordering fractions, decimals and percentages before finishing with percentages with a calculator.

#### Ordering fractions

#### Adding and subtracting fractions with different denominators

#### Multiplying and dividing fractions

#### Converting fractions to percentages and percentages into fractions

#### Ordering fractions, decimals and percentages

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

### Further number methods (Higher)

This topic will look at more complex number work. The first half will focus on multiplying and dividing techniques extending to decimals. The fourth lesson will focus on rounding numbers, a skill which is used in other subjects often. The final two lessons will be based on prime index form and applying it to finding the highest common factor and lowest common multiple of two or more numbers.

#### Different strategies of multiplying two digit numbers

#### Division methods including long division

#### Multiplying and dividing decimals with whole numbers

#### Rounding numbers including decimal places

#### Prime index form

#### Finding the highest common factor and lowest common multiple using prime index form

### Expressions, equations and graphs: Part 1 (Higher)

We begin by looking at the coordinates on a graph and how to plot them which will go on to using it with 2D shapes.

During the next 4 lessons we look in depth at expressions and equations. Simplifying them to start before looking at solving equations and moving on to expanding and factorizing expressions. We end by focusing on patterns and sequences, finding the term to term rule and describing how the sequence is formed.

#### Coordinates in all four quadrants

#### Simplifying expressions

#### To simplify algebra expressions involving 1 term, to simplify algebraic expressions with multiple terms and to collect like terms.

#### Expanding expressions

#### Factorising algebraic expressions

#### Sequences and n-th term

### Mensuration and Pythagoras’ theorem (Higher)

In the first three lessons we concentrate on area, looking at the formula for triangles, parallelograms and circles before ending with the area of compound shapes. We move on in lesson 4 and 5 to 3D shapes. Firstly, finding the volume of a prism then the surface area of a prism. We end with dealing with the Pythagoras Theorem, finding the size of the length of any side of a right angle triangle

#### Calculating the area of triangles and parallelograms

#### Calculating the area and perimeter (circumference) of a circle

#### Calculating the area of compound shapes

#### Volume of cuboids and prisms

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

#### Using Pythagoras’ Theorem to calculate the length of a side of

### Angles and transformations (Higher)

Some angle facts should be known at the start because in the first lesson we look at angles in a parallel line and in a triangle. In the second lesson we look at how many degrees these are in any polygon and see if there is a formula we can use. The next three lessons we look at transformations, looking at reflecting and rotating, transformation and enlargement, with one lesson using the ray method of enlargement. We end this section by looking at similar and congruent shapes.

#### Calculating the missing angle when dealing with parallel lines

#### Calculating missing angles from any 2D shape

#### Reflecting and rotating shapes

#### Translation and enlargement

#### Using the ray method to enlarge shapes

#### Recognising the difference between similar and congruent shapes

### Further statistics and probability (Higher)

In the first lesson we will look at averages from raw data we will find the mode mean and median and look at the range of the data. In the second lesson we will expand on this knowledge to finding all the averages in grouped data or in a table. During the next two lessons we will be dealing with charts and graphs, reading drawing and constructing pie charts, before looking at frequency polygons and scatter graphs. We will move on to probability; starting with calculating the probability of a single event happening and then the probability of more than one event.

#### Finding averages and the range from a set of data

#### Calculating averages from tables

#### Reading and constructing pie charts

#### Displaying continuous data

#### Calculating the probability of an event happening

#### Calculating the probability of two events happening

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