Block 2 Lesson 1. Exploring Radicals.pptx

Translating exponential expressions into radical expressions

1. Introductory Activity Find the value of the following. 1. 2. 3.  

2. Exploring Radicals Block 2 Lesson 1 Introduction to Radicals Aim for today: Today, we will be able to express exponential expressions to its radical form and vice versa and solve some word problems.

3. Block 2 Lesson 1 Exploring Radicals Aim for today: Today, we will be able to express exponential expressions to its radical form and vice versa and solve some word problems. Key Concepts Radical Expressions An expression contained in a radical sign. It is also used to note the root of a certain number.   Index Radicand Tells on how many roots are being derived from the radicand A radical expression is often read as “nth root of b”. Special case: When no index is written, it means that we’re looking for the square root and the index is 2.  

4. Key Concepts Translate the following to radical form.         In translating to radical form: Write base inside the radical sign raised to the numerator of the exponent as the radicand. Write the denominator of the exponent as the index to the upper-left of the radical sign. Simplify the radicand, if possible. Block 2 Lesson 1 Exploring Radicals Aim for today: Today, we will be able to express exponential expressions to its radical form and vice versa and solve some word problems.

5. Key Concepts Translate the following to exponential form.         In translating to exponential form: Write the radicand as the base while its exponent will be the numerator of the fractional exponent. Write the index as the denominator of the fractional exponent. Simplify, if possible. Block 2 Lesson 1 Exploring Radicals Aim for today: Today, we will be able to express exponential expressions to its radical form and vice versa and solve some word problems.

6. Question of the Day How do we express an exponential expression to its radical form and vice versa? In translating to radical form: Write base inside the radical sign raised to the numerator of the exponent as the radicand. Write the denominator of the exponent as the index to the upper-left of the radical sign. Simplify the radicand, if possible. In translating to exponential form: Write the radicand as the base while its exponent will be the numerator of the fractional exponent. Write the index as the denominator of the fractional exponent. Simplify, if possible.     Block 2 Lesson 1 Exploring Radicals Aim for today: Today, we will be able to express exponential expressions to its radical form and vice versa and solve some word problems.

7. Let’s Go Higher The area of a lot is expressed as a radical expression . How do you express the area as an exponential form?   Block 2 Lesson 1 Exploring Radicals Aim for today: Today, we will be able to express exponential expressions to its radical form and vice versa and solve some word problems.