RADICAL EXPRESSIONS

Sections:
    Adding and Subtracting
    All Topics - Mixed Review
    Distance and Midpoint
    Multiplying
    Pythagorean Theorem
    Simplifying
    Solving Radical Equations


Adding and Subtracting:

Name	Type	Description	Funsheet	Key	Standard	Key
Adding and Subtracting Like Radicals 1	Riddle	Students will add or subtract two like radicals.
Adding and Subtracting Unlike Radicals 3	Standard	Most with 3 terms.
Adding and Subtracting Unlike Radicals 4	Riddle	Students must simplify to add or subtract radicals. Some with 3 or 4 terms.

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All Topics - Mixed Review:

Name	Type	Description	Funsheet	Key	Standard	Key
Radical Operations as Shaded Area Problems	Standard	Students must use multiplication, addition and subtraction to solve shaded area problems. Assumes student knows area formulas.

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Distance and Midpoint:

Name	Type	Description	Funsheet	Key	Standard	Key
Distance Formula	Riddle	Distance between two points. All points are integers. Radical answers in simplest form.
Distance Formula as Perimeter Problems	Standard	Given coordinates of a shape, students use the distance formula to calculate lengths of each side to find perimeter.
Midpoint Formula	Riddle	Midpoint of two points. All points are integers. Non integer answers left as improper fractions.

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Multiplying:

Name	Type	Description	Funsheet	Key	Standard	Key
Distributive Property	Riddle	Students will use the distributive property with numerical radicals only (no variables).
Multiplying Radicals 1	Riddle	Students will multiply two numerical radicals only.
Multiplying Radicals 2	Riddle	Students will multiply two radicals, single variable expressions.
Multiplying Radicals 3	Color Pattern	Some with 3 factors, up to single variable expressions only.
Squaring Binomial Radicals	Riddle	No variables.

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Pythagorean Theorem:

Name	Type	Description	Funsheet	Key	Standard	Key
A Ladder Problem	Problem Solving	Could also be solved using trig functions.
Pythagorean Theorem	Riddle	Students will find missing length of right triangle. All integer answers.

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Simplifying:

Name	Type	Description	Funsheet	Key	Standard	Key
Simplify Numerical Radicals	Riddle	Simplify numerical radicals only.
Simplify Numerical Radicals 2	Riddle	Simplify numerical radicals only.
Simplify Numerical Radicals 3	Riddle	Simplify numerical radicals only. These problems have numbers outside the radical.
Simplify Radical Expressions	Riddle	Single variable radicals only.
Simplify Radical Expressions With 2 Variables	Riddle	Students will simplify radical expressions with two variables.
Simplify Radical Expressions With 3 Variables	Riddle	Students will simplify radical expressions with three variables.
Simplifying Fraction Radicals	Riddle	Students will simplify fractions with radicals. Radicals are numerical only, no variables.
Simplifying Fraction Radicals 2	Riddle	Students will simplify radical fractions. single variable terms.
Simplifying Radical Expressions by Rationalizing the Denominator	Riddle	Mostly numerical denominators < 20, though a few have variables.

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Solving Radical Equations:

Name	Type	Description	Funsheet	Key	Standard	Key
Solving Radical Equations 1	Riddle	Solve by isolating the radical.
Solving Radical Equations 2	Riddle	Radicals on both sides.
Solving Radical Equations 3	Riddle	Easy FOIL required to solve. Check for extraneous solutions.
Solving Radical Equations 4	Pair-Share	Answers match in each row. Use as partner activity or as self-check for individual work.