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. |
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. |
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. |
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. |
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. |
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. |
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. |