"Tute Academic Year 2017-18 commences 1st September – Tute At Home lessons will be available to book from this date."

Maths

Year 7

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 £10 ex VAT

Fractions and ratio (Foundation)


This course is aimed to boost the student’s confidence with fractions and ratio. We start by looking at the basics of fractions by finding equivalent and simplifying, before moving on to adding and subtracting fractions with the same denominator. We then look at what are ratios and look at using that understanding to convert metric measurements.

Recognise, shade and write fractions

To recognise and shade fractions, to recognise and write fractions and to apply understanding to solve fraction word problems.

Recognising that some fractions have the same worth

To identify equivalent fractions and to show fractions on a number line.

Simplifying fractions

To recognise factors and highest common factors and to simplify fractions.

Adding and subtracting fractions when they have the same denominator

To add fractions with the same denominator and to subtract fractions with the same denominator.

Introduction to ratio

To explain what ratio means and to solve problems involving ratio.

Converting metric measurements

To convert metric measurements of length, to convert metric measurements of weight and to convert metric measurements of capacity.

Number method: Part 1 (Foundation)


We start the course with recognition of place value within a number. In the second lesson we look at strategies to add large numbers together, using the place value skills. We then move on to using the same skills to subtract. The next lesson will involve finding what numbers are made of and how to make numbers by looking at multiples and factors. In the last part of the course we will investigate strategies in multiplying and dividing.

Recognising the value of digits in any number

To explore the value of numbers and to read and write numbers.

Develop strategies to add large numbers together

To recognise addition vocabulary and three digit numbers and to apply the column method to add three digit numbers together.

Develop strategies for subtracting

To apply different methods to subtract two digit numbers and to solve word problems by subtracting two digit numbers

Recognising factors, multiples and primes and how to differentiate between them

To identify factors of whole numbers, to identify multiples of whole numbers and to identify prime numbers.

Develop strategies to multiply two numbers together

To recognise multiplication as repeated addition, to apply the grid method for multiplying and to apply the column method for multiplying.

Develop strategies on dividing numbers

To describe division , to apply different methods to divide and to solve word problems by dividing.

Introduction to algebra (Foundation)


This module will focus on the basics of algebra. We will look at creating expressions before simplifying them by collecting like terms, adding and subtracting letters together. We then move on to solving basic equations in the first instance before applying the same method to more difficult ones. Following on from this we will cover substitution which is a skill they will need for science as well. The remaining lessons will be based on co-ordinates in all four quadrants and term to term rule sequences.

Creating expressions

To create an expression, to explain the difference between an expression and an equation and to create an equation

Simplifying algebraic expressions

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

Solving equations

To solve one step equations and to solve two step equations.

Recognising and calculating with formulae

To use a formula to find a total cost and to explore problems with 2 variables.

Describe and plot coordinates in all four quadrants

To identify coordinates in the first quadrant, to plot coordinates to draw a range of 2D shapes and to recognise and plot coordinates in all four quadrants.

Recognising a pattern in a set of numbers and how to calculate the next one in the sequence

To create patterns that repeat according to a rule, to describe the way patterns grow and to write a rule that describes a pattern.

Properties of shape including angles and area (Foundation)


In this topic we will start by looking at the properties of shape. The first two lessons will be based around the properties of 2D and 3D shapes before moving onto some angle work where we will be describing and estimating angles. These are useful skills to have especially when trying to find the missing angle and using angle facts, e.g. how many degrees in a straight line? We advance to angles rules within certain 2D shapes and look at symmetry within these shapes. The focus of the final lesson will be on the area of shapes by counting squares before learning about the area of a rectangle.

Recognising and describing 2D shapes

To describe a range of 2D shapes and to solve problems involving 2D shapes.

Recognising and describing 3D shapes

To identify 3D shapes, to describe a range of 3D shapes and to recognise and identify nets of 3D shapes.

Describing, estimating and measuring angles

To describe angles, to measure an angle and to estimate the size of an angle.

Recall and apply basic angle rules

To identify types of angle, to calculate unknown angles around a point, along a straight line or vertically opposite, to calculate unknown angles in a triangle and quadrilateral.

Symmetry of 2D shapes

To identify a line of symmetry, to explain the link between regular polygons and lines of symmetry and to investigate if shapes can have more than one line of symmetry.

Perimeter and area of 2D shapes

To calculate the perimeter by counting, to calculate the perimeter using the dimensions, to calculate area by counting squares and to calculate area using a formula.

Percentages, money and time (Foundation)


There are many connections between percentages and money and we start in this topic by looking at them separately and building the students confidence and skills. Many people get mixed up with money at times so we start by making sure that they are able to deal with money. In the second lesson we move on to finding simple percentages before working out more complicated percentages without a calculator. We end this course with time related problems by converting between 12 hour and 24 hour time and looking at solving problems that involve timetables.

Use of money to calculate change from a pound

To calculate the total cost of a range of items and to calculate change from worded problems.

Define percentage and calculate simple percentages of quantities

To define percentage, to calculate 50%, 25% and 10% and to calculate 1%.

Finding a percentage of a quantity without a calculator

To find simple percentages of quantities without a calculator ,and to find any percentage of a quantity without a calculator.

Calculating percentage change without a calculator

To calculate percentage increase, to calculate percentage decrease and to solve real-world examples.

Reading time on a 12-hour clock and a 24 hour clock

To tell the time on an analogue clock to the nearest five minutes, to calculate how long until the next hour on an analogue clock and to tell the time in hours and minutes on a 12-hour digital clock using a.m. and p.m. convention.

Reading timetables to solve problems

To solve word problems using time and to follow timetables to answer time related questions.

Introduction to statistics and probability (Foundation)


This topic will cover the basics of statistics and probability. We will start by learning about classifying objects into a Venn diagram before extracting information from different types of graphs such as bar charts and pictograms. In the third lesson we look at being able to read the information from a line graphs. The next lessons will focus on finding averages in data, ie calculating the mean and finding the median and mode with a little bit of the range of the data. In the last lesson we have a chance to look at probability and ways of finding the probability of something happening.

Construct and interpret Venn diagrams

To sort into one Venn diagram circle.

Recognising interpreting different types of graphs

To draw and interpret bar graphs and to draw and interpret pictograms.

Reading and understanding line graphs

To interpret line graphs and correlation and to solve problems relating to line graphs.

Finding the mode and mean of a set of data

To find the mean in a set of numbers and to find the mode of a set of numbers.

Finding the median and range of a set of data

To explain how the range of a set of data is calculated, to arrange numbers in the ascending order and to explain how the median of a set of data is calculated.

Calculating basic probability

To express probability as a word, to show probability on a scale and to express probability as a fraction.

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

To identify equivalent fractions, to express a fraction in its simplest form and to order fractions.

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, to calculate a fraction of a number and to divide fractions.

Converting fractions to percentages and percentages into fractions

To work out simple fractions as percentages, to work out fractions, that simplify, as percentages and to work out fractions as a percentage using a calculator.

Ordering fractions, decimals and percentages

To convert between fractions, decimals and percentages and to order numbers in mixed formats.

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.

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

To multiply using the Egyptian method, to multiply using the Russian method and to multiply using the Chinese stick method

Division methods including long division

To apply the short division method and to apply the long division method.

Multiplying and dividing decimals with whole numbers

To multiply decimals using Napier’s bones and to divide decimals using a short division method.

Rounding numbers including decimal places

To round numbers to nearest 10,100 and whole number, to round numbers to given amount of decimal places and to round numbers to given amount of significant figures.

Prime index form

To explain what is meant by a prime number, to use a prime number as a factor and to express a number in its prime index form.

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

To express a number as a product of its prime factors, to use prime factors to determine the HCF of two or more numbers and to use prime factors to determine the LCM of two or more numbers.

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

To identify coordinates in the first quadrant, to plot coordinates to draw a range of 2D shapes and to recognise and plot 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.

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

To solve one step equations, to solve two step equations and to create equations out of a sentence.

Expanding expressions

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

Factorising algebraic expressions

To factorise with a numerical common factor and to factorise with an algebraic common factor.

Sequences and n-th term

To create patterns that repeat according to a rule, to describe the way patterns grow and to write a rule that describes a pattern.

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

To recall and apply the formula for the area of a rectangle, to calculate the area of a triangle and to calculate the area of a parallelogram.

Calculating the area and perimeter (circumference) of a circle

To calculate the circumference of a circle and to calculate the area of a circle.

Calculating the area of compound shapes

To calculate the perimeter of a shape, to calculate the area of a rectangle and to calculate the area of a compound shape.

Volume of cuboids and prisms

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

Calculating the surface area of 3D shapes

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

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

and to calculate the shorter lengths of a right angled triangle.

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

To find missing angles on a straight line and at a point, to recognise and calculate alternate, corresponding and interior angles and to find a missing angle in a triangle.

Calculating missing angles from any 2D shape

To calculate the sum of angles in a polygon, to calculate the exterior angle of a regular polygon and to calculate the interior angle of a regular polygon.

Reflecting and rotating shapes

To perform and describe a rotation and to perform and describe a reflection.

Translation and enlargement

To perform and describe a translation and to perform and describe an enlargement.

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

Recognising the difference between similar and congruent shapes

To find the scale factor of enlarged shapes, to identify congruent shapes, to find missing lengths of similar shapes and to identify similar 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

To find the mode of a set of numbers, to calculate the mean in a set of numbers, to explain how the median of a set of data is calculated and to explain how the range of a set of data is calculated.

Calculating averages from tables

To calculate averages and range from a table and to calculate averages and range from grouped data.

Reading and constructing pie charts

To interpret pie charts and to solve pie chart problems.


Displaying continuous data

To draw a frequency diagram, to draw a frequency polygon and to draw a scatter graph.

Calculating the probability of an event happening

To use the vocabulary of probability correctly and to calculate the probability of an event.

Calculating the probability of two events happening

To calculate the probability of a single event happening, to find the probability of two events and to calculate the expected frequency.

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* Promotion ends 31st March 2017