This is the teacher notes page identifying the outcomes addressed in these lessons. Copy each lesson link and send it to your students. For printable versions of these materials log into the teacher information section of the Department of Education.
Students will:
interpret the meaning of a number with a negative index
know how to use and understand their calculators for both input and output of numbers with negative indices
convert between decimal notation and negative indices
perform operations with negative indices
understand the need for scientific notation and investigate very large and small things
use terminology, numbers, and expressions for large and small numbers
convert between decimal notation and scientific notation
know how to use and understand their calculators for input, output, and calculation of numbers in scientific notation
order numbers in scientific notation and relate them to a number line
use index laws to calculate numbers in scientific notation
understand the limitations of the calculator in performing calculations with very large numbers
apply knowledge and skills in using scientific notation to interpret information and perform calculations.
Outcomes:
MA5.1-1WM uses appropriate terminology, diagrams and symbols in mathematical contexts
MA5.1-3WM provides reasoning to support conclusions that are appropriate to the context
MA5.1‑5NA operates with algebraic expressions involving positive-integer and zero indices and establishes the meaning of negative indices for numerical bases
MA5.1-9MG interprets very small and very large units of measurement, uses scientific notation, and rounds to significant figures
MA5.2-1WM selects appropriate notations and conventions to communicate mathematical ideas and solutions
MA5.2-3WM constructs arguments to prove and justify results
MA5.2-7NA applies index laws to operate with algebraic expressions involving integer indices
Students will:
interpret the meaning of a number with a negative index
know how to use and understand their calculators for both input and output of numbers with negative indices
convert between decimal notation and negative indices
perform operations with negative indices.
Outcomes:
MA5.1-1WM uses appropriate terminology, diagrams and symbols in mathematical contexts
MA5.1-3WM provides reasoning to support conclusions that are appropriate to the context
MA5.1‑5NA operates with algebraic expressions involving positive-integer and zero indices and establishes the meaning of negative indices for numerical bases
MA5.2-1WM selects appropriate notations and conventions to communicate mathematical ideas and solutions
MA5.2-3WM constructs arguments to prove and justify results
MA5.2-7NA applies index laws to operate with algebraic expressions involving integer indices
Students will:
understand the need for scientific notation and investigate very large and small things
use terminology, numbers, and expressions for large and small numbers
convert between decimal notation and scientific notation
know how to use and understand their calculators for input, output, and calculation of numbers in scientific notation
order numbers in scientific notation and relate them to a number line
Outcomes:
MA5.1-1WM uses appropriate terminology, diagrams and symbols in mathematical contexts
MA5.1-3WM provides reasoning to support conclusions that are appropriate to the context
MA5.1-9MG interprets very small and very large units of measurement, uses scientific notation, and rounds to significant figures
MA5.2-1WM selects appropriate notations and conventions to communicate mathematical ideas and solutions
MA5.2-3WM constructs arguments to prove and justify results
Students will:
know how to use and understand their calculators for input, output, and calculation of numbers in scientific notation
use index laws to calculate numbers in scientific notation
understand the limitations of the calculator in performing calculations with very large numbers
apply knowledge and skills in using scientific notation to interpret information and perform calculations
Outcomes:
MA5.1-1WM uses appropriate terminology, diagrams and symbols in mathematical contexts
MA5.1-3WM provides reasoning to support conclusions that are appropriate to the context
MA5.1-9MG interprets very small and very large units of measurement, uses scientific notation, and rounds to significant figures
MA5.2-1WM selects appropriate notations and conventions to communicate mathematical ideas and solutions
MA5.2-3WM constructs arguments to prove and justify results
In lesson 2, there are two extension activities as follows:
What is a Googol?
Allows students to explore further terminology and understanding of terms with larger numbers of zeros.
Interesting Questions
Allows students to investigate open problems where not all the information is given to them in the question and where their final answers will be estimates and not exact.
In lesson 3, adding and subtracting with numbers in scientific notation only focuses on exponents that are the same. Moving into adding and subtracting with different exponents is an extension activity.
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