Lessons included:
Basic Index Laws
Negative and Fractional Indices
Prime Factors and Indices
Reading and Writing with Standard Form
Multiplying and Dividing with Standard Form
Adding and Subtracting with Standard Form
Factorials
All lesson include worksheets
GCSE Higher Lesson.
Understand and using factorials:
Starter. Explanation of repeated and increasing multiplication, factorial notation. Worked examples on operations with factorials, differentiated questions and answers on each rule. Looking at practical uses of factorials with a pack of cards
Worksheet following lesson design. All answers included.
GCSE Higher Lesson.
Adding/subtracting large/small numbers using Standard Form:
Starter:10Q MC on converting to/from Standard Form.
Converting numbers between powers of 10. Worked examples on each of the skills, separate differentiated questions and answers on each rule. Harder mixed problems.
Worksheet following lesson design. All answers included.
GCSE Higher Lesson.
Multiply and divide large and small numbers using Standard Form:
Starter:10Q MC reading and writing numbers in SF.
Worked examples on each of the skills, separate differentiated questions and answers on each skill.
Worksheet following lesson design. All answers included.
GCSE Higher Lesson.
Reading and writing large and small numbers using Standard Form:
Starter: 10Q multiplying/dividing decimals by powers of 10.
Explanation of need for standard form and how it is derived.Review of Powers of 10 and their indices. Worked examples on converting numbers to/from standard form. 10Q MC on skills. Differentiated questions and answers on skills. Problems on ordering numbers.
Worksheet following lesson design. All answers included.
GCSE Higher Lesson.
Finding and writing prime factorisations of numbers using indices
Starter: finding factors, understanding indices.
Review of prime and composite numbers. Worked examples on finding prime factorisations, separate differentiated questions and answers. Harder mixed problems including finding square and cube roots
Worksheet following lesson design. All answers included.
GCSE Higher Lesson.
Understand and using two Laws of Indices:
Numbers with negative indices
Numbers with fractional indices
Starter: 10Q MC on writing numbers using indices.
Worked examples on each of the rules, separate differentiated questions and answers on each rule.
Worksheet following lesson design. All answers included.