Complete handout Bellringer 4.17 Concept: Simplifying irrational roots Algebra 1 Preview

Extend the properties of exponents to rational exponents. MGSE9–12.N.RN.2 Rewrite expressions involving radicals and rational exponents using the properties of exponents. (i.e., simplify and/or use the operations of addition, subtraction, and multiplication, with radicals within expressions limited to square roots). MGSE8.NS.2 Use rational approximation of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line, and estimate the value of expressions (e.g., estimate π2 to the nearest tenth). For example, by truncating the decimal expansion of √2 (square root of 2), show that √2 is between 1 and 2, then between 1.4 and 1.5, and explain how to continue on to get better approximations.

Extend the properties of exponents to rational exponents. MGSE9–12.N.RN.2 Rewrite expressions involving radicals and rational exponents using the properties of exponents. (i.e., simplify and/or use the operations of addition, subtraction, and multiplication, with radicals within expressions limited to square roots). MGSE8.NS.2 Use rational approximation of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line, and estimate the value of expressions (e.g., estimate π2 to the nearest tenth). For example, by truncating the decimal expansion of √2 (square root of 2), show that √2 is between 1 and 2, then between 1.4 and 1.5, and explain how to continue on to get better approximations. 1. 𝟏𝟖 2. 𝟐𝟒 3. 𝟖𝟎 4. 𝟏𝟑𝟎

Extend the properties of exponents to rational exponents. MGSE9–12.N.RN.2 Rewrite expressions involving radicals and rational exponents using the properties of exponents. (i.e., simplify and/or use the operations of addition, subtraction, and multiplication, with radicals within expressions limited to square roots). MGSE8.NS.2 Use rational approximation of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line, and estimate the value of expressions (e.g., estimate π2 to the nearest tenth). For example, by truncating the decimal expansion of √2 (square root of 2), show that √2 is between 1 and 2, then between 1.4 and 1.5, and explain how to continue on to get better approximations. 1. 𝟓𝟎 2. 𝟐𝟎𝟎 3. 𝟖 4. 𝟏𝟗𝟎

Extend the properties of exponents to rational exponents. MGSE9–12.N.RN.2 Rewrite expressions involving radicals and rational exponents using the properties of exponents. (i.e., simplify and/or use the operations of addition, subtraction, and multiplication, with radicals within expressions limited to square roots). MGSE8.NS.2 Use rational approximation of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line, and estimate the value of expressions (e.g., estimate π2 to the nearest tenth). For example, by truncating the decimal expansion of √2 (square root of 2), show that √2 is between 1 and 2, then between 1.4 and 1.5, and explain how to continue on to get better approximations. 1. 𝟐𝟎𝟒 2. 𝟕𝟎 3. 𝟓𝟔 4. 𝟑𝟎

Please read the instructions at each station before asking questions Geometry Station 1: Angle Calculation Dominoes/Angle Flash Cards Function Station 2: y- intercept card game Geometry Station 3: Number System Station 3: Integers Geometry Station 4: The House That Pythagoras Built Number System Station 5: Fraction Puzzle - all adjacent sides must equal Algebra Station 6: Equation Puzzle- all adjacent sides must equal Time Limit: 30 minutes