Indices and Logarithms: Grade 10 Core Mathematics

Learning outcomes

By the end of the sub-strand, the learner should be able to:

1. express numbers in index form
2. derive the laws of indices using factors
3. apply the laws of indices in different situations
4. relate index notation to logarithm notation to base 10
5. determine common logarithms of numbers from mathematical tables and calculators
6. apply common logarithms in multiplication, division, powers and roots of numbers
7. appreciate the use of indices and common logarithms in mathematical computations

Lessons in Indices and Logarithms

1. 1Reading Repeated Factors as IndicesExpress numbers in index form
2. 2Index Forms with a Specified BaseExpress numbers in index form
3. 3Discovering Product and Quotient LawsDerive the laws of indices using factors
4. 4Power of a Power and Identity CasesDerive the laws of indices using factors
5. 5Indices in Measurement and DesignApply the laws of indices in different situations
6. 6From Powers of Ten to Common LogsRelate index notation to logarithm notation to base 10
7. 7Interpreting Base-Ten LogarithmsRelate index notation to logarithm notation to base 10
8. 8Reading Common Logarithms in TablesDetermine common logarithms of numbers from mathematical tables and calculators
9. 9Comparing Table and Calculator LogarithmsDetermine common logarithms of numbers from mathematical tables and calculators
10. 10Logarithms for Multiplication and DivisionApply common logarithms in multiplication, division, powers and roots of numbers
11. 11Logarithms for Powers and RootsApply common logarithms in multiplication, division, powers and roots of numbers
12. 12Integrated Logarithmic ComputationApply common logarithms in multiplication, division, powers and roots of numbers
13. 13Why Indices and Logarithms MatterAppreciate the use of indices and common logarithms in mathematical computations