Hempfield School District Curriculum: Unit Template
Course Title: Pre-Algebra Grade 8
Unit Title: Expressions, Equations, and Inequalities
Names of Teachers who Developed Unit: Ringler
Dates Developed: July 2010
Approximate Dates when Taught During School Year: September - October
Approximate Number of Periods: 24 Class Periods
Summary: In this unit students will build the foundation of their algebra skills. Students will
learn how to simplify algebraic expressions, solve algebraic equations and inequalities, and write
algebraic expressions, equations, and inequalities to model real life problems.
Print Materials Needed:
Resources:
McDougal Littell’s Pre-Algebra Textbook (sections 2.2 – 2.7, 3.1 – 3.6, 5.6),
McDougal Littell’s Middle School Math Course 3 Textbook (sections 2.7,
3.1 – 3.7, 5.4, 6.1 – 6.3)
Internet Resource Links: classzone.com
Stage 1: Desired Results
Essential Questions (Include PA Standards, Anchors & Eligible Content)
Big Ideas:
 Numbers, measures, expressions, equations, and inequalities can represent mathematical
situations and structures in many equivalent forms.
 There are some mathematical relationships that are always true and these relationships
are used as the rules of arithmetic and algebra and are useful for writing equivalent forms
of expressions and solving equations and inequalities.
Essential Questions:
 How do you simplify algebraic expressions?
 How do you solve algebraic equations?
 How are equations used to represent and solve real-life problems?
 How do you solve algebraic inequalities?
 How are inequalities used to represent real-life problems?
Assessment Anchors:
 M8.D.2 Represent and/or analyze mathematical situations using numbers, symbols,
words, tables and/or graphs
Eligible Content:
 M8.D.2.1.1 Solve one- or two-step equations and inequalities (should not include
absolute values – one variable only)
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M8.D.2.1.2 Use substitution to check the accuracy of a given value for an equation or
inequality (simple inequalities with one variable)
M8.D.2.1.3 Determine the value of an algebraic expression by simplifying and/or
substituting a number for the variable
M8.D.2.2.1 Match a written situation to its numeric an/or algebraic expression, equation
or inequality (up to two variables in equations or expressions – one variable with
inequalities)
M8.D.2.2.2 Write and/or solve an equation for a given problem situation (one variable
only)
Know
Vocabulary:
expression, equivalent
expressions, distributive
property, terms,
coefficient, constant term,
like terms, simplify an
expression, combine like
terms, equation, solution,
solve an equation, inverse
operations, multiplicative
inverse, inequality, solve
an inequality
Facts:
addition property of
equality, subtraction
property of equality,
multiplication property of
equality, division property
of equality, addition
property of inequality,
subtraction property of
inequality, multiplication
property of inequality,
division property of
inequality, inequalities
have infinite solutions,
solutions of inequalities
can be shown on graphs
Understand
Students will understand:
 How to simplify
algebraic expressions
 How to solve
algebraic equations
 How to use algebraic
equations to solve
real-world problems
 How to solve
algebraic inequalities
 How to use algebraic
inequalities to solve
real-world problems
Do
The students will be able to:
 Simplify expressions by
combining like terms
 Simplify expressions by
using the distributive
property
 Solve one-step equations
 Solve two-step equations
 Solve equations involving
fractions by using the
multiplicative inverse
 Solve equations with
multiple variables on one
side of the problem
 Solve equations with
variables on both sides of
the problem
 Solve equations that have
no solution
 Solve equations that have
all real numbers as
solutions
 Write equations from
sentences or word problems
 Graph inequalities on a
number line
 Solve one-step inequalities
 Solve two-step inequalities
 Write inequalities from a
sentence or word problem
Stage 2: Assessment Evidence
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Assessments/Performance Tasks
Rubric Titles
Benchmark(s) for Course: Unit’s key Assessments
Self-Assessments
Other Evidence, Summarized
Stage 3: Learning Activities
Differentiation:
Readiness
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Profile: Learning Styles /
Multiple Intelligences
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Interest
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Accommodations for ELLs:
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