Standard Form to Surds, 15 Full lesson Powerpoints progressing from Grade F to A

This is a full and complete unit of work with PowerPoints for each lesson. Every lesson is fully differentiated with differentiated lesson outcomes that start at a lower end and travel up through the grades. The unit starts at F grade and works up in stages from F to A, helping students to work through every stage until they reach A, so the progress is absolutely tangible and demonstrable in pupil's books and in the lessons. All resources and materials and enclosed within each lesson and the PowerPoints are ready to play, but you will need to adapt them for your classes depending on how much you get through in each lesson. Activities are set up to engage all students, as much of the time as possible, with progress for all in mind at all times during the planning.
There are quizzes, differentiated goals, competitions, whiteboard work for AFL, corners for AFL, red, green and amber card games, self marking, peer marking, cooperative learning activities for engagement. And, all of this is set against a progress tracker that helps pupils to see how that are moving up from F to A grade.
The F to A can be mapped against 1-5, very easily, to adapt this unit for the future - you will see that when you download it.
The unit covers all of the following so that students are able to:
· Calculate with positive, negative and fractional indices and combinations of these.
· Use index laws to write expressions for integer, negative, and fractional powers and powers of a power
· Use index laws to simplify and calculate numerical expressions involving powers
· Be able to write very large and very small numbers presented in a context in standard form
· Calculate with standard form with and without a calculator.
· Convert between ordinary and standard form representations
· Understand ‘reciprocal’ as multiplicative inverse, knowing that any non-zero number multiplied by its reciprocal is 1 . Find the reciprocal of a number given as a fraction or decimal
· Use index laws to calculate with squares and cubes
· Use index laws to simplify and calculate the value of numerical expressions involving multiplication and division of integer powers, and powers of a power
· Find the prime factor decomposition of positive integers and write in index form
· Know the effects that a change of place value has on a calculation
· Multiply and divide by any number between 0 and 1
· Multiply and divide decimal numbers by whole numbers and decimal numbers (up to 2 d.p.), eg 266.22 ¸ 0.34
· Use brackets and the hierarchy of operations (BIDMAS)
· Use index notation for integer powers of 10
· Add, subtract any numbers including negative decimals
· Check answers by inverse calculation
· Find the common factors and common multiples of two small numbers