Exciting Exponents! California Mathematics Content Standard: Number Sense 1.3 Grade 5 Understand and compute positive integer powers of nonnegative integers; compute examples as repeated multiplication. Exciting Exponents!

Name as many math operations as you can... Addition, ... Subtraction, Multiplication, Division Anticipatory Set

Today you will learn... A new math operation!! Objective

By the end of this lesson you will... 1. Write the multiplication problem represented by any expression with exponents 2. Simplify any expression with exponents Objective

Why do I need to learn about exponents? Scientists and mathematicians use exponents to write really big numbers and really small numbers You will need to use exponents when finding the prime factorization of a number You will feel smart using a new operation!!! Purpose

5 x 4 = Four Fives Added = 5 + 5 + 5 + 5 = 20 What are exponents? You’ve already learned that multiplication is a quick way to do repeated addition 5 x 4 = Four Fives Added = 5 + 5 + 5 + 5 = 20 Input

Exponents are a quick way to do repeated multiplication What are exponents? Exponents are a quick way to do repeated multiplication 54 = Four Fives Multiplied = 5 x 5 x 5 x 5 = 625 Input

Four Fives Multiplied = Which is bigger? Four Fives Added = 5 + 5 + 5 + 5 = 20 5 x 4 = or 54 = Four Fives Multiplied = 5 x 5 x 5 x 5 = 625 Input

A closer look... 5 4 The exponent The base Input

5 4 5 5 625 A closer look... x = Write This this many number times Put in times signs 5 5 625 x = Multiply Model

On the count of three, say the multiplication problem for... 6 2 = 6 x 6 1 2 3 Check for Understanding

On my signal, show with your fingers which is correct. 7 x 7 =49 7 x 2 = 14 7 = 2 or 7 x 7 =49 Check for Understanding

Write this out using multiplication and simplify. 4 3 4 x = 64 Guided Practice

Write this out using multiplication and simplify. 2 5 2 x = 32 Guided Practice

Write this out using multiplication and simplify. 3 3 x = 27 Guided Practice

Write this out using multiplication and simplify. 8 2 8 x = 64 Guided Practice

She is multiplying by 2 instead of multiplying eleven times eleven. Ella keeps making the same mistake. Explain what she is doing wrong to your partner. She is multiplying by 2 instead of multiplying eleven times eleven. 112 = 11 x 11 = 121 112 = 22. Closure