Pre-Algebra (2015-16)
Unit 03: Integer Exponents & Scientific Notation
Unit Overview
Student’s knowledge of operations on numbers will be expanded to include operations on numbers in integer exponents. This will build on students’ understanding from previous grades: exponential notation in Grade 5 as they used whole number exponents to denote powers of ten; in Grade 6, students expanded the use of exponents to include bases other than ten as they wrote and evaluated exponential expressions limited to whole-number exponents; and in Grade 7 they learned formulas for the area of a circle and volume.
Students will build upon their foundation with exponents as they explore how zero and negative exponents of a number should be defined and learn the properties of integer exponents (8.EE.1). They make sense out of very large and very small numbers (8.EE.3). Having established the properties of integer exponents, students will learn to express the magnitude of a positive number through the use of scientific notation and to compare the relative size of two numbers written in scientific notation (8.EE.3). Students will explore the use of scientific notation and choose appropriately sized units as they represent, compare, and make calculations with very large quantities, such as the U.S. national debt, the number of stars in the universe, and the mass of planets; and very small quantities, such as the mass of subatomic particles (8.EE.4).
Nevada Academic Content Standard(s):
Work with radicals and integer exponents. (identified as major content standards by SBAC)
8.EE.A.1 Know and apply the properties of integer exponents to generate equivalent numerical expressions.
For example,
8.EE.A.3 Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities, and to express how many times as much one is than the other. For example, estimate the population of the United States as and the population of the world as, and determine that the world population is more than 20 times larger.
8.EE.A.4 Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. Use scientific notation and choose units of appropriate size for measurements of very large or very small quantities (e.g., use millimeters per year for seafloor spreading). Interpret scientific notation that has been generated by technology.
Approximate Time Frame: 3 – 4 weeks
Terms:
ü base
ü exponent
ü power
ü order of operation
ü scientific notation
ü magnitude
8.EE.A.1 / Integer Exponents / Ø MGH Unit 1, Lesson 2 Powers and Exponents (page 15)Ø ML 1.2 Powers and Exponents (page 10)
Ø EX 3-1 Integer Exponents (page 83)
Ø Learn Zillion Video Lessons: Evaluate expressions with Exponents
Ø NY Lesson 1: Exponential Notation
8.EE.A.1 / Properties of Exponents / Ø MGH Unit 1, Lesson 3 Multiply and Divide Monomials (page 23)
Ø MGH Unit 1, Lesson 4 Powers of Monomials (page 31)
Ø MGH Unit 1, Lesson 5 Negative Exponents (page 43)
Ø ML 4.5 Rules of Exponents (page 194)
Ø ML 4.6 Negative and Zero Exponents (page 199)
Ø EX 3-2 Properties of Exponents (page 87)
Ø MAP: Applying Properties of Exponents
Ø Learn Zillion Video Lessons: Know/apply properties of integer exponents
Ø NY Lesson 2: Multiplication of Numbers in Exponential Form
Ø Learn Zillion Video Lessons: Understand negative exponents and bases
Ø NY Lesson 3: Numbers in Exponential Form Raised to a Power
Ø NY Lesson 4: Numbers Raised to the Zeroth Power
Ø NY Lesson 5: Negative Exponents and the Law of Exponents
8.EE.A.3 / Scientific Notation / Ø MGH Unit 1, Lesson 6 Scientific Notation (page 51)
Ø ML 4.7 Scientific Notation (page 204)
Ø EX 3-3 Scientific Notation (page 93)
Ø VA Lesson: Scientific Notation
Ø Learn Zillion Video Lessons: Understand scientific notation
Ø Learn Zillion Video Lessons: Estimate and compare with integers to the power of 10
Ø University of Wyoming Lesson: Scientific Notation
Ø NY Lesson 7: Magnitude
Ø NY Lesson 9: Scientific Notation
8.EE.A.4 / Operating with Scientific Notation / Ø MGH Unit 1, Lesson 7 Compute with Scientific Notation (page 59)
Ø MGH Unit 1, Inquiry Lab Scientific Notation Using Technology (page 67)
Ø ML 4.7 Using Scientific Notation Tech Activity (page 209)
Ø EX 3-4 Operating with Scientific Notation (page 99)
Ø MAP: Estimating Length Using Scientific Notation
Ø Learn Zillion Video Lessons: Perform operations with numbers in scientific notation
Ø NY Lesson 8: Estimating Quantities
Ø NY Lesson 10: Operations with Numbers in Scientific Notation
Ø NY Lesson 11: Efficacy of the Scientific Notation
Ø NY Lesson 12: Choice of Unit
Ø NY Lesson 13: Comparison of Numbers Written in Scientific Notation; Using Technology
Pre-Algebra Unit 03: Integer Exponents & Scientific Notation Page 3 of 3
Revised August, 2014