Pre-Calculus 11 Radical Expressions and Equations
Specific Curriculum Outcomes
AN02 Students will be expected to solve problems that involve operations on radicals and radical expressions with numerical and variable radicands.
AN03 Students will be expected to solve problems that involve radical equations (limited to square roots).
AN02 Students will be expected to solve problems that involve operations on radicals and radical expressions with numerical and variable radicands.
AN03 Students will be expected to solve problems that involve radical equations (limited to square roots).
AN02 Activities
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- The Root of the Problem from NRICH - Investigate the sum of a complicated looking expression with 100 terms with radicals. You don't need to know about series to solve this one.
- The Sturdy Rectangle SSDD Problem - A great class warm-up including four related problems involving radicals.
- Pedantic Arithmetic Rules - Why/when should we reduce fractions? Why does a radical in simplest form not have a radical in the denominator? (see the bottom of page 274 in the Pre-Calculus 11 textbook for Radicals in Simplest Form) It would be a worthwhile activity to discuss this with students so they understand it instead of just memorizing a list of rules.
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- Increasingly Difficult Questions (Surds) from Dave Taylor - These questions increase the difficulty of questions at an increased rate as students work through an exercise,
AN03 Activities
- Who Wins the Race from Illustrative Mathematics - Alice and Briana each participate in a 5-kilometer race. Each of their progress is modeled by an expression. Who wins the race?
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