Year 8 Additional Maths class

These lessons could contain pupils from any group W1- W4. As such the differentiation of lessons to suit pupil ability will depend on the mix of the set. Ideas of how to extend and support are given. Several different resources may be required each lesson based on pupil ability. Each half term there is some core knowledge and then a project for 3 or 4 weeks. This scheme of work will be up dated throughout the year. If there is a topic you would like to teach or think will support pupils please email SCA.

Autumn Half term 1 – focus on area
Lesson / Topic / Detail/ Differentiation/ Support / Resources
1 / Area of Quadrilaterals / Recognise rectangles, squares. Calculate the area of rectangles and squares by counting squares and using the formulas
Support – count squares
Extend – Use decimal side lengths / Ten ticks
My maths
2 / Area of a triangle / Recognise right angled triangles and calculate their area using the formula.
Support – show how to turn to a square/rectangle – count squares then half
Extend – non right triangle – located height first. / Ten ticks
My maths
3 / Simple compound area (2 shapes) / Calculate the area of shapes made of 2 rectangles/ squares or one rectangle and a triangle.
Support – stick to area of a rectangle
Extend – create own shapes count area and use formulas of each separate shape and sum / Ten ticks
My maths
4 / Area of shaded shapes (missing pieces) / Calculate the area of shaded shapes – made of rectangles/ squares with a square/ rectangle cut out.
Support – count squares, use cut out diagrams to show it is a subtraction
Extend – use triangles as well / Ten ticks
My maths
5 / Perimeter calculation and accurate measuring / Understand the difference between area and perimeter. Calculate the perimeter of rectangles and squares using a ruler and the formula. Then measure, accurately the perimeter of a triangle.
Support – use square paper and count squares
Extend – to compound shapes. / Ten ticks
My maths
6 / Area/ perimeter investigation 1 / Pupils to investigate the link between area and perimeter. What shapes have an area of 20cm2? What is the area of each shape.
If a shape has a perimeter of 20cm, what is its area?
Pupils to investigate each question, explain their findings and use a systematic approach. Pupils should have accurate drawings of each shape. / SCA to provide – in folder
Square paper
7 / Area/ perimeter investigation 2
8 / Area/ perimeter investigation 3
Autumn term 2 – Focus on types of number
Lesson / Topic / Detail/ Differentiation/ Support / Resources
1 / Factors / Introduce the meaning of factors – pupils to look at a range of numbers then look at common factors between pairs of numbers. Encourage a method, reminder of pairs so as not to forget any
Support – 1 to 100 grid
Extension – highest common factor / 1 to 100 grids
Worksheet – in folder
2 / Introduce prime factor decomposition / Extend pupils understanding of factors to prime factor decomposition.
Pupils will need to review their understanding of prime numbers
Support – print prime numbers to support questions
Extend – write answers in index (power) form / Ten ticks and prime numbers to 30
3 / Multiples / Introduce the meaning of multiples – pupils to look at a range of numbers. Extend to the least common multiple of 2 numbers.
Support – 1 to 100 grid – encourage colouring of multiples
Extend – can pupils find the least common multiple of 3 numbers / Ten ticks and 1 to 100 grids
4 / Square numbers and cube numbers / Pupils to be introduced to square numbers – use drawing of squares to see the link between square numbers and the number that generates them.
Pupils to extend this to cube numbers – multilink to support this.
Support – use of counters to create squares
Extend – to negative numbers and square and cube numbers / SMP squares and cubes worksheet – in folder
Multilink
5 / Square and cube roots / Pupils to understand the square root and cube roots are the opposite operations from squaring.
Pupils to complete square roots sheet then give pupils 8 cubes if all sides have to be same size what does the side length need to be?
Repeat with 27 cubes. Put into groups and try 64 cubes or 125. / Follow me squares and cubes – in folder
Square roots from areas sheet – in folder
Multilink
Ten ticks
6 / Reinforcement / Toffee tin investigation / Toffee tin investigation – in folder
7 / Reinforcement / Complete toffee tin investigation and reinforcement in above types of number where needed
Spring term 1 – Focus on types of time, distance and speed
Lesson / Topic / Detail/ Differentiation/ Support / Resources
1 and 2 / Time / Recap 12/24 hour clock and changing between them. Differences in times should be used as well as scenarios e.g. I leave home at 8.15am. It takes 15 minutes to walk to town, shop for 2 hours 40minutes and walk home. When do I get home? / Ten ticks
3 and 4 / Distance / Recap metric changes then extend to imperial e.g. km – miles and vice versa. Show how to do this using a calculator / Ten ticks
5 / Speed / Introduce the concept of speed for example the same distance but half the time therefore twice as quick. Show s = d/t triangle and how to use it. / Ten ticks
Spring term 2 – Focus on Whole numbers
Lesson / Topic / Detail/ Differentiation/ Support / Resources
1 and 2 / The number line / Counting on – 3 more than etc.
Ordering numbers including negatives and decimals. Recap place value where appropriate. / Ten ticks – level 3 and 4
Pupils to make posters for display
3 / Doubling, halving / Doubling and halving numbers - including negatives and decimals. / Ten ticks
Use mymaths level 4 booster pack
4 / Addition and subtraction / Addition and subtraction – introduce the key word sum. Pupils to use both mental and written methods.
Must use whole number mini investigations on mymaths to support this lesson / Ten ticks
Use mymaths level 4 booster pack
5 / Multiplication / Multiplying by a single digit extending to grid multiplication where possible / Ten ticks
Use mymaths level 4 booster pack
6 / Dividing / Dividing by a single digit extending to division by numbers between 10 and 20 where possible. / Ten ticks
Use mymaths level 4 booster pack
Summer term 1 – Focus on Graphs
Lesson / Topic / Detail/ Differentiation/ Support / Resources
1 / Recap addition, subtraction, multiplication and division / Pupils to complete the 20 minute multiplication and division test – level 4 pack 2 from ten ticks / Ten ticks
2 / Bar charts / Learn how to draw and read a bar chart, focus on axes and labels. Give pupils data to draw graphs from / Ten ticks
Use mymaths level 4 booster pack
3 / Line graphs / Give a selection of different line graphs and encourage pupils to read information from them. / Ten ticks
Use mymaths level 4 booster pack
4 / Pie charts / Pupils to read information from a pie chart – simple half and quarters to begin with – extend to use of angles if appropriate. / Ten ticks
Use mymaths level 4 booster pack
5 / Coordinates / Drawing axes and plotting coordinates. – emphasis on axes and ability to draw them. / Print axes to explain key points.
Ten ticks
Use mymaths level 4 booster pack
6 / Coordinates 2 / Reading coordinates from a graph and finding missing values to complete a shape. / Ten ticks
Use mymaths level 4 booster pack
7 / Coordinate diagrams / Following a set of rules to generate a coordinate diagram – extend – pupils to create their own / Internet – search simpsons coordinate diagrams or similar. Lots available. Could give pupils notice of task and get them to find their own.
Summer term 2 – Focus on
Lesson / Topic / Detail/ Differentiation/ Support / Resources
1 / Angle types / Recognise and know the facts relating to different types of angle – acute, obtuse, reflex / Ten ticks
Use mymaths level 4 booster pack
2 / Drawing and measuring / Use a protractor to measure and draw angles accurately. / Protractors
Ten ticks
Use mymaths level 4 booster pack
3 / Angles on a straight line / Know and use the fact that angles on a straight line add up to 180 degrees. Find missing angles. / Ten ticks
Use mymaths level 4 booster pack
4 / Angles in a triangle / Know and use the fact that angles in a triangle add up to 180 degrees. Find missing angles / Ten ticks
Use mymaths level 4 booster pack
5 / Angles in a quadrilateral / Know and use the fact that angles in a quadrilateral add up to 360 degrees. Find missing angles / Ten ticks
Use mymaths level 4 booster pack
6 / Basic bearings / Introduce the idea of north and drawing bearings. Pupils to see practical application using maps – Geography will lend you some. Can they find a route around / Maps
Protractors
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