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Rationalizing the Denominator - First Steps WORKSHEET
Suitable for Grades: Algebra I, IM 1
CCSS: HSN.RN.A.2
CCSS Description: Rewrite expressions involving radicals and rational exponents using the properties of exponents.
Rationalizing the Denominator - First Steps WORKSHEET DESCRIPTION
This worksheet is structured to introduce and build fluency in rationalising the denominator.
Section A begins with a multiplication grid to practise simplifying products of numbers and surds, laying the groundwork for later sections.
Section B is a fill the gaps task prompting learners to think deeply about the process.
In Section C, pupils are required to rationalise the denominators of 14 fractions, simplifying their answers where appropriate. The section is scaffolded by increasing difficulty.
Section D presents two worded problems that involve rationalising in a real-world context. These require students to interpret the question, identify the surds, and apply rationalisation as part of a broader problem-solving process. These problems apply previous skills in a more abstract or applied context, consolidating learning and encouraging deeper understanding.
Section A begins with a multiplication grid to practise simplifying products of numbers and surds, laying the groundwork for later sections.
Section B is a fill the gaps task prompting learners to think deeply about the process.
In Section C, pupils are required to rationalise the denominators of 14 fractions, simplifying their answers where appropriate. The section is scaffolded by increasing difficulty.
Section D presents two worded problems that involve rationalising in a real-world context. These require students to interpret the question, identify the surds, and apply rationalisation as part of a broader problem-solving process. These problems apply previous skills in a more abstract or applied context, consolidating learning and encouraging deeper understanding.
