Simons Middle School
Course: 8th Grade Math
Module 1: Topic A/B
Overview
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GRADE 8: UNIT 1: OVERVIEW
Unit 1: Properties of Integer Exponents and Scientific Notation
In this first unit, students’ knowledge of operations on numbers will be expanded to include operations on numbers in integer exponents. Module 1 also builds on students’
understanding from previous grades with regard to transforming expressions. Students were introduced to exponential notation in Grade 5 as they used whole number
exponents to denote powers of ten (5.NBT.A.2). 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 (6.EE.A1). Students made use of exponents again in Grade 7 as they learned formulas for the area of a circle
(7.G.B.4) and volume (7.G.B.6). In this module, students build upon their foundation with exponents as they make conjectures about how zero and negative exponents of a
number should be defined and prove the properties of integer exponents (8.EE.A.1). These properties are codified into three laws of exponents. They make sense out of
very large and very small numbers, using the number line model to guide their understanding of the relationship of those numbers to each other (8.EE.A.3).
Having established the properties of integer exponents, students 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.A.3). Students explore 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.A.4).
Focus Standards for Mathematical Practice
Terminology
• Reason abstractly and quantitatively.
New Terms: Scientific Notation (The scientific notation for a finite decimal is the
representation of that decimal as the product of a decimal 𝑠𝑠 and a power of 10,
where 𝑠𝑠 satisfies the property that it is at least 1, but smaller than 10, or in symbolic
notation, 1 ≤ 𝑠𝑠 < 10. For example, the scientific notation for 192.7 is 1.927×102.)
• Construct viable arguments and critique the reasoning of others.
• Attend to precision
• Look for and make use of structure.
• Look for and express regularity in repeated reasoning.
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Familiar Terms: Exponential Notation, Base, Exponent, Power, Integer, Whole
Number, Expanded Form (of decimal numbers), Square and Cube (of a number),
and Equivalent Fractions
• G8:M1:U1: Overview •
1
GRADE 8: UNIT 1: OVERVIEW
This unit is approximately 2.5weeks or 13 sessions of instruction.
Lesson
Lesson Title
Standards
Supporting Targets
Lesson 1
Exponential Notation
• Know and apply the properties of integer
exponents to generate equivalent numerical
expressions. (8.EE.1)
• Students know what it means for a
number to be raised to a power and how
to represent the repeated multiplication
symbolically.
Formative
Assessment
Exit Ticket
Instructional
Activities
Interactive Notebook
Counters Activity
• Students know the reason for some
bases requiring parenthesis.
Lesson 2
Multiplication of Numbers in
Exponential Form
• Know and apply the properties of integer
exponents to generate equivalent numerical
expressions. (8.EE.1)
• Students use the definition of
exponential notation to make sense of
the first law of exponents.
RWBE (Rapid White Board
Exchanges)
• Students see a rule for simplifying
exponential expressions involving
division as a consequence of the first law
of exponents.
Problem Set
Interactive Notebook
Counters Activity
Exit Ticket
• Students write equivalent numerical and
symbolic expressions using the first law
of exponents.
Les son 3
Numbers in Exponential Form
Raised to a Power
• Know and apply the properties of integer
exponents to generate equivalent numerical
expressions. (8.EE.1)
• Students will know how to take powers
of powers. Students will know that
when a product is raised to a power,
each factor of the product is raised to
that power.
Powers Scavenger Hunt
Interactive Notebook
• Students will write simplified,
equivalent numeric and symbolic
expressions using this new knowledge of
powers.
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Learning Outward Bound, Inc.
• G8:M1:U1: Overview •
2
GRADE 8: UNIT 1: OVERVIEW
Lesson/EngageNY
Lesson Title
Standards
Supporting Targets
Lesson 4
Numbers Raised to the
Zeroth Power
• Know and apply the properties of
integer exponents to generate equivalent
numerical expressions. (8.EE.1)
• Students know that a number raised
to the zeroth power is equal to one.
Lesson 5
Negative Exponents and the
Laws of Exponents
• Know and apply the properties of
integer exponents to generate equivalent
numerical expressions. (8.EE.1)
• Students recognize the need for the
definition to preserve the properties
of exponents.
• Students know the definition of a
number raised to a negative
exponent.
Formative
Assessment
Bell Work (Quick
Assessment of prior
lessons)
Instructional
Activities
Interactive Notebook
Exploratory Challenge 1, 2, 3
(M1TAL4)
SPRINT
Exit Ticket
Interactive Notebook
Class Discussion eNY
• Students simplify and write
equivalent expressions that contain
negative exponents.
Lesson 6
Mid-Unit Assessment
• Know and apply the properties of
integer exponents to generate equivalent
numerical expressions. (8.EE.1)
Lesson 7/8
Estimating Quantities
• 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.
(8.EE.3)
• Students compare and estimate
quantities in the form of a single
digit times a power of 10.
• 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.
(8.EE.3)
• Students write, add and subtract
numbers in scientific notation and
understand what is meant by the
term leading digit.
Lesson 9
Scientific Notation
Exit Ticket
Class Discussion eNY
SPRINT
Estimating Quantities Video
Scientific Notation Tarsia
Interactive Notebook
• Students use their knowledge of
ratios, fractions, and laws of
exponents to simplify expressions.
Scientific Notation Project
• 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
Created by Expeditionary Learning, on behalf of Public Consulting Group, Inc.
© Public Consulting Group, Inc., with a perpetual license granted to Expeditionary
Learning Outward Bound, Inc.
• G8:M1:U1: Overview •
3
GRADE 8: UNIT 1: OVERVIEW
appropriate size for measurements of
very large or very small quantities.
Interpret scientific notation that has
been generated by technology. (8.EE.4)
Lesson 10
Operations with Numbers in
Scientific Notation
• 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.
Interpret scientific notation that has
been generated by technology. (8.EE.4)
• Students practice operations with
numbers expressed in scientific
notation and standard notation.
Lesson 11
Efficacy of Scientific
Notation
• 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.
Interpret scientific notation that has
been generated by technology. (8.EE.4)
• Students continue to practice
working with very small and very
large numbers expressed in scientific
notation.
• 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.
Interpret scientific notation that has
been generated by technology. (8.EE.4)
• Students understand how choice of
unit determines how easy or difficult
it is to understand an expression of
measurement.
• Perform operations with numbers
expressed in scientific notation,
including problems where both decimal
and scientific notation are used. Use
• •Students compare numbers
expressed in scientific notation.
Lesson 12
Lesson 13
Choice of Unit
Comparison of Numbers
Written in Scientific
Notation and Interpreting
Scientific Notation Using
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© Public Consulting Group, Inc., with a perpetual license granted to Expeditionary
Learning Outward Bound, Inc.
RWBE
Interactive Notebook
• Exit Ticket
• Interactive Notebook
• FAL
• FAL: Estimating Length
Using Scientific Notation
• Exit Ticket
• Interactive Notebook
• Students read, write, and perform
operations on numbers expressed in
scientific notation.
• Students determine appropriate
units for various measurements and
rewrite measurements based on new
units.
• •Students apply the laws of
exponents to interpret data and use
• G8:M1:U1: Overview •
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GRADE 8: UNIT 1: OVERVIEW
Technology
End of Unit Assessment
scientific notation and choose units of
appropriate size for measurements of
very large or very small quantities.
Interpret scientific notation that has
been generated by technology. (8.EE.4)
•
Created by Expeditionary Learning, on behalf of Public Consulting Group, Inc.
© Public Consulting Group, Inc., with a perpetual license granted to Expeditionary
Learning Outward Bound, Inc.
technology to compute with very
large numbers.
•
•
•
• G8:M1:U1: Overview •
5