This unit builds on the work of Unit 4 as students extend their understanding of radical and integer exponents to develop rules for working with exponents and scientific notation.
Key Concepts:
 The structure of exponent notation allows us to derive rules for generating equivalent expressions, even when the exponent is from the entire set of integers.
 We can make multiplicative comparisons of very large and very small numbers when those numbers are written in scientific notation.
 Because scientific notation is an equivalent form of numbers, we can perform operations with numbers written in this form using the properties of operations.
Prior Knowledge Needed:
 Read and write decimals to thousandths using baseten numerals, number names, and expanded form (Grade 5 Unit 4; NBT.A.3.A)
 Write and evaluate numerical expressions involving wholenumber exponents.
 Recognize that in a multidigit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left.
 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use wholenumber exponents to denote powers of 10.
Lessons

Lesson objective: Extend understanding of how whole number exponents work to include integer exponents. Students bring prior knowledge of exponents from 6.EE.A.1. This prior knowledge is extended to integer exponents as students use patterns to formaliz...

Lesson objective: Understand that by using patterns when we expand exponential expressions, we can derive rules/properties to write equivalent expressions. Students bring prior knowledge of exponents from 6.EE.A.1. This prior knowledge is extended to de...

Lesson objective: Multiply numbers written in exponential form when they have the same base. This lesson helps to build fluency with multiplying numbers in exponential form. A table is used here because it shows the expansion of exponential expressions ...

Lesson objective: Divide numbers written in exponential form with the same base. This lesson helps to build fluency with division of numbers written in exponential form. A table is used here because it supports understanding of integer exponents. This w...

Lesson objective: Understand we can make multiplicative comparisons of very large and very small numbers when those numbers are written in scientific notation. Students bring prior knowledge of place value and powers of ten from 5.NBT.A.1 and 5.NBT.A.2....

Lesson objective: Make multiplicative comparisons of very large and very small numbers in order to determine how many times as much one number is than another. This lesson helps to build fluency with comparing numbers written in scientific notation. A t...

Lesson objective: Understand that properties can be used to perform operations when numbers are written in scientific notation in the same way they work with all numbers. Students bring prior knowledge of properties from 7.NS.A1.D and 7.NS.A.2.C. This p...

Lesson objective: Add and subtract numbers written in scientific notation using properties of operations. This lesson helps to build fluency with adding and subtracting numbers written in scientific notation. A number line is used here because it highli...

Lesson objective: Multiply and divide numbers written in scientific notation using properties of operations. This lesson helps to build fluency with multiplying and dividing numbers written in scientific notation. A number line is used here because it h...

Lesson objective: Apply using properties of operations to solve problems in scientific notation. This lesson provides an opportunity for students to apply their knowledge and understanding of using properties of operations (for numbers written in scient...