Expressions and Equations - Alexandria Township School District

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Teacher(s)
ALEXANDRIA TOWNSHIP PUBLIC SCHOOLS ANNUAL UNIT PACING GUIDE
Subject Area:
Unit Title
Anticipated Dates of Unit
ALEXANDRIA TOWNSHIP PUBLIC SCHOOLS UNIT PLANNING TEMPLATE
Teacher(s) Hoyda
Grade Level: 6th
Subject Area: Math (Expressions and Equations)
Anticipated Length of Unit: 6 weeks
Learning Targets
Student Learning Objectives: 6.EE.A.1,2,3,4 Apply and extend previous understandings of arithmetic
to algebraic expressions. 6.EE.B.5,6,7,8 Reason about and solve one-variable equations and
inequalities. 6.EE.C.9 Represent and analyze quantitative relationships between dependent and
independent variables.
By the end of this unit of instruction, all students will……..
Know (facts, vocabulary)
Understand (concepts)
Be able to Do (skills)
Exponents, Coefficient, constant, How to solve real world
Evaluate numerical expressions
variable, like terms, equivalent
equations when all variables are following the order of operations
expressions, commutative
nonnegative, rational numbers (x including exponents
properties, associative
+ p = q and px = q)
properties, identity properties,
Read, write, and evaluate
equations, inequalities, solution
How to evaluate expressions at
algebraic expressions
sets, infinity, dependent
specific values of their variables
variable, independent variable
including exponents
Identify equivalent properties
used to determine equivalent
The fundamental properties of
expressions
equality
Find the solution to a one step
Write expressions involving
equation
exponents, numbers, and
variables
Graph inequalities on a number
line
Write equations to express the
dependent variable in terms of
Analyze the relationship
the independent variable
between the dependent and
independent variables in a table
Write an inequality of the form
and graph
x>c or x<c to represent a
constraint or condition of a real
world problem
Evaluate expressions at specific
values of their variables
including whole-number
exponents
Identify when 2 expressions are
equivalent
By the end of this unit of instruction, some students will…….
Know (facts, vocabulary)
Understand (concepts)
Be able to Do (skills)
Reflexive Property
Transitive Property
Symmetric Property
Proofs
How properties relate to the
balance of equations
Identify properties indicated in
proofs
Find solutions to multistep real
world equations
Apply properties of operations
as strategies to add, subtract,
factor, and expand linear
expressions with rational
coefficients
Learning Experiences
Critical Unit Questions:
How can properties be used to form equivalent expressions?
What is the difference between an expression and an equation?
How are inverse operations used to solve for an unknown quantity?
How can an inequality be represented on a number line?
What is the relationship between the independent and dependent variable of a function?
Unit Pre-Assessment(s): Model Curriculum Assessment
Topics & Timeframe
Exponents – 1 class
Evaluating expressions with
exponents – 2 classes
Algebraic Expressions – 5 classes
Properties of addition and
multiplication – 1 classes
Real World application – 3
classes
Equations – 4 classes
Inequalities – 1 class
General Description of
Instructional Activities
Representing repeated
multiplication and finding the
value of exponential expressions
Follow the order of operations to
find equivalent expressions
Identify parts of an expression
Simplify combining like terms
Simplify using the distributive
property
Writing expressions given verbal
cues
Evaluating expressions given
values for the variable
Commutative, Associative, and
identity Properties
Solve real world problems using
algebraic and numerical
expressions and equations
Solving one-step equations
Writing one-step equations from
word problems
Graphing solutions on a number
line
Representing real world
situations as inequalities
Formative Assessment(s)
Observation of practice
problems, Journal, Centers
Observation of practice
problems, Journal, Centers
Observation of practice
problems, Journal, Centers
Observation of practice
problems, Journal, Centers
Observation of practice
problems, Journal, Centers
Observation of practice
problems, Journal, Centers
Observation of practice
problems, Journal, Centers
Equations with 2 variables – 3
classes
Unit Post-Assessment(s): Test
Understanding that a solution
can be one number in a set of
infinite possibilities
Create a table and graph using
an equation to generate
solutions
Observation of practice
problems, Journal, Centers
ALEXANDRIA TOWNSHIP DAILY LESSON PLANNING TEMPLATE
Teacher(s)
Date:
Subject Area:
Lesson Title:
Learning Targets
By the end of this lesson, all students will……..
Know (facts, vocabulary)
Understand (concepts)
Be able to Do (skills)
By the end of this lesson, some students will…….
Know (facts, vocabulary)
Understand (concepts)
Be able to Do (skills)
Learning Experiences
Description of Whole Class Experiences:
Grouping Strategies:
Differentiated Experiences
Description of Process
Exceeds Expectations
Approaching
Beginning
Description of Formative Assessment Task(s):
Description of Product
ALEXANDRIA TOWNSHIP PUBLIC SCHOOLS UNIT REFLECTION FORM
At the conclusion of your unit of instruction, please rate the degree to which you believe the unit met
the following criteria.
Unit Criteria
Strong
Moderate
Weak
Challenging content that required students to use higher
order thinking and problem solving skills.
Allowed for student choice.
Provided varied activities designed to address different
learning styles and preferences.
Provided opportunities for student reflection and selfassessment
Provided data that could be used to inform and adjust
instruction to better meet the needs of varying learners.
Fostered the use of technology as a tool to develop critical
thinking, creativity and innovation skills.
The next time this unit is taught I will……..
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