Anoka Hennepin K-12 Curriculum Unit Plan
Department:
Elementary Math
Unit Title: Unit 7A - Exponents and Order of Operations
Grade Level: 5
Number of Lessons/Days: 11
Unit Summary: The purpose of Unit 7 is to investigate prealgebra concepts and skills. The key concepts are the notational conventions of
exponents, scientific notation, and number-and-word notation. They will develop rules for the addition and subtraction of positive numbers, and
learn to interpret number sentences. Students will be assessed through an end of the unit summative assessment.
DESIRED RESULTS (STAGE 1)
K-12 Program Understanding(s):
I. Students will understand that numbers can be used flexibly to solve various problems.
II. Students will understand that properties, patterns and relationships of numbers can be generalized into universal expressions.
MN Standards:
Data Analysis
5.4.1 Display and interpret data; determine mean, median and range.
Algebra
5.2.2 Use properties of arithmetic to generate equivalent numerical expressions and evaluate expressions involving whole numbers.
5.2.3 Understand and interpret equations and inequalities involving variables and whole numbers, and use them to represent and solve real-world
and mathematical problems.
MN Benchmarks Assessed
Algebra
5.2.2.1
5.2.3.1
5.2.3.2
5.2.3.3
Apply the commutative, associative and distributive properties and order of operations to generate equivalent numerical
expressions and to solve problems involving whole numbers.
Determine whether an equation or inequality involving a variable is true or false for a given value of the variable.
Represent real-world situations using equations and inequalities involving variables. Create real-world situations
corresponding to equations and inequalities.
Evaluate expressions and solve equations involving variables when values for the variables are given.
© A.H. ISD #11
Grade 5 Unit 7A
Updated June 19, 2013
1
Data Analysis and Probability
5.4.1.2
Create and analyze double-bar graphs and line graphs by applying understanding of whole numbers, fractions and decimals.
Know how to create spreadsheet tables and graphs to display data.
Overarching Understanding(s) from Curriculum Map/Course
Understandings:
Students will understand that…
• identifying patterns and functions involving the four operations helps
to analyze, describe and extend patterns when developing rules to
represent and analyze change.
• the properties of arithmetic including the Distributive Property can
be generalized to many situations adding flexibility and fluency to
problem solving for an unknown and can be represented using
algebraic notation.
• data can be collected, organized and represented in multiple ways to
effectively analyze and communicate interpretations.
Essential Question(s) from Curriculum Map. Course Essential
Questions:
To understand, students will need to consider such questions as....
• How do I represent a situation using algebraic language?
• What makes an algorithm both effective and efficient?
• How can understanding the properties of addition help me solve
problems?
• How do I use the order of operations to solve equations?
Topical Essential Questions for Unit:
To understand, students will need to consider such questions as....
• What is the best way to represent my number?
• How can I apply my knowledge of addition, subtraction,
multiplication, and division to numbers?
• How can understanding the properties of multiplication help me
solve problems?
Topical Understanding(s) Specific to Unit:
Students will understand that…
• numbers can be expressed in standard, expanded, exponential, and
scientific notations to communicate efficiently.
• mathematical properties can be used to efficiently solve problems.
To understand, students will need to…
know… Students will need to know the following in order to… (e.g.
be able to… (Students will be able to DO.. skills, procedures,
facts, concepts, generalizations, rules, theories, principles)
processes
• write numbers in standard, scientific, and exponential notation.
• place value of numbers written as powers of 10.
• compare numbers written in exponential notation.
• expanded, exponential, and scientific notation are other ways to
• describe the number patterns inherent to powers of 10.
express a number.
• evaluate the numerical expressions using order of operations.
© A.H. ISD #11
Grade 5 Unit 7A
Updated June 19, 2013
2
Italicized words are words that students need to know for MCA testing.
Please emphasize and use them often.
• Essential vocabulary:
o expanded notation
o expression
o inequality
o order of operations
o power of 10
o base
o power of a number
o positive number
o scientific notation
o expression
o inequality
o commutative property
o distributive property
o associative property
o line graph
• Common misunderstanding(s):
o Exponents are treated as addends or factors.
© A.H. ISD #11
Grade 5 Unit 7A
Updated June 19, 2013
3