Course: Algebra 1
1st Nine Weeks
Unit 1: Variables and Algebraic Expressions
CLE:
Instructional Guide
Estimated Time: 3 Weeks; August 16-Sept 3
CLE 3102.1.3 Develop inductive and deductive reasoning to independently make and evaluate mathematical arguments and construct appropriate proofs; include various types of
reasoning, logic, and intuition.
CLE 3102.2.1 Understand computational results and operations involving real numbers in multiple representations.
CLE 3102.2.2 Understand properties of and relationships between subsets and elements of the real number system
CLE 3102.3.2 Understand and apply properties in order to perform operations with, evaluate, simplify, and factor expressions and polynomials.
Essential Question: What is the unknown?
Unit Vocabulary: Expressions, Integers, Irrational Numbers, Rational Numbers, Real Number System, Subsets, Evaluate, commutative, Associative, Distributive, Inverse,
Identity Element, Closure, Reflexive, Symmetric, Transitive, Operation Properties of Equality, Like Terms
Prerequisite Skills: compute with integers, fractions, and decimals; understand basic exponents; order of operations, variables
Checks for
State Performance
Understanding
Indicators
Assessments
Instructional Resources
CLE3102.1.3
 3102.1.9 Identify and use
properties of the real
numbers (including
commutative, associative,
distributive, inverse, identity
element, closure, reflexive,
symmetric, transitive,
operation properties of
equality).
 3102.1.10 Use algebraic
properties to develop a valid
mathematical argument
SPI 3102.1.3 Apply properties
to evaluate expressions,
simplify expressions, and justify
solutions to problems.
Order of Operations
- Section 1.3 – Order of Operations
- Check calculator exercise (order of operations),
Example 4, P18.
- Order of Operations Bingo Game:
http://illuminations.nctm.org/LessonDetail.aspx?id=L
730
- Webquest:
http://imet.csus.edu/imet10/portfolio/esquivel_w/284/
WebQuest.html#task
- Video:
http://www.teachertube.com/viewVideo.php?video_id
=10544&title=Who_s_Aunt_Sally____Order_of_Ope
rations
- Properties Games:
http://www.quia.com/mc/151692.html
- Order of Operations Worksheet:
http://www.kutasoftware.com/FreeWorksheets/Alg1
Connections
ACT Connections
- Substitute whole
numbers for unknown
quantities to evaluate
expressions.
- Write expressions,
equations, or
inequalities with a
single variable for
common pre-algebra
settings.
- Draw conclusions
based on number
concepts, algebraic
properties, and/or
relationships between
expressions and
numbers.
Worksheets/Order%20of%20Operations.pdf
- Properties Matching Worksheet: http://jcschools.net/dynamic/math/worksheets/propertieswks
htalg1.pdf
- Bike Racer Game:
http://www.classzone.com/books/algebra_1/game/ch
02.htm
- Order of Operations game:
http://www.quia.com/cm/61109.html
CLE3102.2.1
 3102.2.1 Recognize and
use like terms to simplify
expressions.
 3102.2.2 Apply the order of
operations to simplify and
evaluate algebraic
expressions.
 3102.2.4 Operate efficiently
with both rational and
irrational numbers
Like Terms/Simplify/Evaluate Expressions
- Review 1.1 – Variables in Algebra, P3, Section 1.1
- Introduce Like Terms and Simplify by Combination,
P100, Section 2.6
o PowerPoint:
www.tcc.edu/vml/Math04/Simplifying%20Expre
ssions.ppt
o Simplifying Expressions with video http://www.schooltube.com/video/33c83aa3300c4
1fa8e43/Simplifying-Algebraic-Expressions
- Simplifying Expressions Online Lesson:
http://www.montereyinstitute.org/courses/Algebra%2
0IA/course%20files/multimedia/lesson02/lessonp.ht
ml
- Evaluate Expressions PowerPoint:
http://www.google.com/search?hl=en&safe=active&q
=evaluate+expressions+powerpoint&aq=f&aqi=g1&a
ql=&oq=&gs_rfai=
- Evaluating Expressions Worksheet:
http://www.kutasoftware.com/FreeWorksheets/Alg1
Worksheets/Evaluating%20Expressions.pdf
ACT Connection
- Combine like terms.
CLE3102.2.2
 3102.2.7 Identify the
subsets in the real number
system and understand
their relationships.

3102.2.8 Use multiple
strategies to approximate
the value of an irrational
number including irrational
square roots and including
location on the real number
line.
SPI 3102.2.3 Describe and/or
order a given set of real
numbers including both rational
and irrational numbers.
- Number Sets Online Lesson:
http://www.glencoe.com/sites/texas/student/mathem
atics/assets/animation/algebra1/ALG1CIM1-8.swf
- Number Sets Online Lesson:
http://www.montereyinstitute.org/courses/Algebra%2
0IA/course%20files/multimedia/lesson01/lessonp.ht
ml
- Algebra 1 Springboard Lesson:
“Sorting It All Out”
- “Where Do I Live?” Activity:
http://www.algebralab.org/activities/activity.aspx?file
=Science_WhereDoILive.xml
- Number Sets Worksheet: Evaluating Expressions
Worksheet:
http://www.kutasoftware.com/FreeWorksheets/Alg1
Worksheets/Evaluating%20Expressions.pdf
CLE3102.3.2
 3102.3.3 Justify correct
results of algebraic
procedures using extension
of properties of real numbers
to algebraic expressions.
ACT Connection:
- Locate points on the
number line and in
the first quadrant.
- Order fractions.
Course: Algebra 1
1st Nine Weeks
Unit 2: Solving Equations
CLE:
Instructional Guide
Estimated Time: 3 Weeks; Sept 7-Sept 27
CLE 3102.1.3 Develop inductive and deductive reasoning to independently make and evaluate mathematical arguments and construct appropriate proofs; include various types of
reasoning, logic, and intuition.
CLE 3102.2.1 Understand computational results and operations involving real numbers in multiple representations.
CLE 3102.3.4 Solve problems involving linear equations and linear inequalities
CLE 3102.3.5 Manipulate formulas and solve literal equations.
CLE 3102.4.1 Use algebraic reasoning in applications involving geometric formulas and contextual problems.
CLE 3102.4.2 Apply appropriate units of measure and convert measures in problem solving situations.
Essential Question: What strategies can be used to solve for unknowns in algebraic equations?
Unit Vocabulary: Absolute Value, Coefficient, Constant, Equation, Property of Equality, Proportion, Ratio, Rational Numbers, Real Number Properties (Commutative,
Associative, Distributive, Inverse, Identity, Symmetric, Transitive, Equality), Variable
Prerequisite Skills:
solve one and two-step equations and inequalities; find absolute value of a given number; use formulas such as area, perimeter, familiar with metric
and customary measures; write and solve ratios and proportions, like terms, opposite, reciprocal
Checks for
Understanding
State
Performance
Indicators
CLE3102.1.2
 3102.1.5 Use formulas,
equations, and
inequalities to solve realworld problems including
time/rate/distance,
percent
increase/decrease,
ratio/proportion, and
mixture problems.
CLE 3102.1.3
 3102.1.9 Identify and use
properties of the real
numbers (including
commutative, associative,
distributive, inverse,
identity element, closure,
reflexive, symmetric,
transitive, operation
properties of equality).
SPI 3102.1.2 Write an
equation symbolically
to express a
contextual problem.
Assessments
Instructional Resources
-
Deep Sea Diver Game:
http://www.classzone.com/books/algebra_1/game/c
h01.htm
- Algebraic Expressions Worksheet:
http://www.kutasoftware.com/FreeWorksheets/
Alg1Worksheets/Variable%20and%20Verbal%
20Expressions.pd
SPI 3102.1.3 Apply
properties to evaluate
expressions, simplify
expressions, and
justify solutions to
problems.
- Evaluating Expressions Worksheet:
http://www.kutasoftware.com/FreeWorksheets/Alg
1Worksheets/Evaluating%20Expressions.pdf
Connections
ACT Connections:
- Write expressions, equations, or
inequalities with a single variable
for common pre-algebra settings.
- Solve routine one-step arithmetic
problems (using whole numbers,
fractions, and decimals) such as
single-step percent.
CLE3102.2.1
 3102.2.1 Recognize and
use like terms to simplify
expressions.
 3102.2.4 Operate
efficiently with both
rational and irrational
numbers.
CLE3102.3.4
 3102.3.11 Solve multistep linear equations with
one variable.
 3102.3.12 Recognize and
articulate when an
equation has no solution,
a single solution, or all
real numbers as
solutions.
 3102.3.14 Solve
absolute value
equations and
inequalities (including
compound inequalities)
with one variable and
graph their solutions on a
number line.
SPI 3102.3.5 Write
and/or solve linear
equations,
inequalities, and
compound inequalities
including those
containing absolute
value.
-
-
CLE31024.1
 3102.4.1 Using algebraic
expressions solve for
measures in geometric
figures as well as for
perimeter, area, and
volume.
CLE3102.4.2
 3102.4.5 Use
dimensional analysis to
convert rates and
measurements both
Mummy Chase Review Game:
http://www.classzone.com/books/algebra_1/game/ch
4/ch04.htm
Solving Equations Game:
http://www.studystack.com/matching-1857
Bike Racer Review Game:
http://www.classzone.com/books/algebra_1/game/ch
06.htm
Battleship – Solving Equations Game:
http://www.quia.com/ba/36544.html
Rags to Riches Equations Game:
http://www.quia.com/ba/36544.html
Jeopardy – Solving Equations:
http://www.quia.com/cb/77775.html
Brain Pop – Solving Equations:
http://www.glencoe.com/sec/math/brainpops/000631
01/00063101.swf
Brain Pop – Two-Step Equations:
http://www.glencoe.com/sec/math/brainpops/000631
04/00063104.html
Video Lesson:
http://www.montereyinstitute.org/courses/Algebra%2
0IA/course%20files/multimedia/lesson03/lessonp.htm
l
Algebra 1 Springboard Lesson: “What’s the Error?”
SPI 3102.4.1 Develop
and apply strategies to
estimate the area of
any shape on a plane
grid.
Area Estimation Video Lesson:
http://www.glencoe.com/sites/common_assets/mathe
matics/geom_2010/math_in_motion/animations/MIM
_geo_11-4extend.swf
- Area Estimation Teacher Lesson:
http://www.lessonopoly.org/svef/?q=node/6138#
SPI 3102.4.4 Convert
rates and
measurements
- Unit Conversion Examples:
http://www.alysion.org/dimensional/fun.htm
- Unit Conversion Lesson 1:
http://www.glencoe.com/sites/common_assets/
mathematics/geom_2010/pt/GM_0-2-1.swf
ACT Connections
- Solve some routine two-step
arithmetic problems.
- Solve one-step equations having
integer or decimal answers.
- Solve real-world problems using
first-degree equations.
- Write equations and inequalities
that require planning, manipulating,
and/or solving.
-
ACT Connection
- Solve multi-step arithmetic
problems that involve planning or
converting units of measure.
within a system and
between systems and
check the
appropriateness of the
solution.
- Unit Conversion Lesson 2:
http://www.glencoe.com/sites/common_assets/
mathematics/geom_2010/pt/GM_0-2-2.swf
- Unit Conversion Lesson 3:
http://www.glencoe.com/sites/common_assets/
mathematics/geom_2010/pt/GM_0-2-3.swf
- Unit Conversion Lesson 4:
http://www.glencoe.com/sites/common_assets/
mathematics/geom_2010/pt/GM_0-2-5.swf
“Paying For Your Wheels” NCTM
Lesson:
http://illuminations.nctm.org/LessonD
etail.aspx?id=L708
Earthshine, Chapter 1, Theresa
Nelson
A small bottle of Dragon Blood
can be purchased for $50. Bring
in bottles of various sizes with the
price labeled on each bottle.
Have students to make standard
measurement conversions for
bottles of various products to find
the price per gallon for each item.
Have students explain at least one
of their conversions.
Course: Algebra 1
1st Nine Weeks
Unit 3: Solving Inequalities
CLE:
Instructional Guide
Estimated Time: 2 Weeks; Sept 28 - Oct 7
CLE 3102.1.2 Apply and adapt a variety of appropriate strategies to problem solving, including testing cases, estimation, and then checking induced errors and the
reasonableness of the solution.
CLE 3102.2.1 Understand computational results and operations involving real numbers in multiple representations.
CLE 3102.3.4 Solve problems involving linear equations and linear inequalities
Essential Question:
How does the solution of the equation x – 5 = 12 differ from the solution of the inequality x – 5 < 12? When do you use an open circle for graphing
inequalities? When do you use a closed circle for graphing inequalities?
Unit Vocabulary:
Inequality, Irrational Numbers, Number Line, Rational Numbers, Real Numbers, Real Number Properties (Commutative, Associative, Distributive,
Inverse, Identity, Symmetric, Transitive, Equality), Variable, Compound Inequalities
Prerequisite Skills:
Checks for
Understanding
CLE 3102.1.2
 3102.1.5 Use formulas,
equations, and
inequalities to solve realworld problems including
time/rate/distance,
percent
increase/decrease,
ratio/proportion, and
mixture problems.
 3102.1.9 Identify and use
properties of the real
numbers (including
commutative,
associative, distributive,
inverse, identity element,
closure, reflexive,
symmetric, transitive,
operation properties of
equality).
CLE3102.2.1
 3102.2.1 Recognize and
use like terms to simplify
expressions.
 3102.2.4 Operate
evaluate expressions given values, inequality symbols, solution, number line, absolute value, algebraic properties, like terms
State
Performance
Indicators
SPI 3102.1.3 Apply
properties to evaluate
expressions, simplify
expressions, and
justify solutions to
problems.
Assessments
Instructional Resources
Connections
- Evaluating Expressions Worksheet:
http://www.kutasoftware.com/FreeWorksheets/
Alg1Worksheets/Evaluating%20Expressions.p
df
ACT Connections:
- Write expressions, equations, or
inequalities with a single variable
for common pre-algebra settings.
- Write equations and inequalities
that require planning,
manipulating, and/or solving.
efficiently with both
rational and irrational
numbers
CLE3102.3.4
 3102.3.13 Solve multistep linear inequalities
with one variable and
graph the solution on a
number line.
 3102.3.14 Solve absolute
value equations and
inequalities (including
compound inequalities)
with one variable and
graph their solutions on a
number line.
SPI 3102.3.5 Write
and/or solve linear
equations,
inequalities, and
compound
inequalities including
those containing
absolute value.
-
-
Solving Inequalities Tutorial:
http://www.montereyinstitute.org/courses/Algebra%
20IA/course%20files/multimedia/lesson06/lessonp.
html
Absolute-Value Equations Tutorial:
http://www.montereyinstitute.org/courses/Algebra%
20IA/course%20files/multimedia/lesson08/lessonp.
html
ACT Connections
- Solve first-degree inequalities that
do not require reversing the
inequality sign.
- Write equations and inequalities
that require planning, manipulating,
and/or solving.
- Identify the graph of a linear
inequality on the number line.
- Solve simple absolute value
inequalities.
“Fireworks, Safety, and Mathematics”:
http://www.glencoe.com/sites/texas/st
udent/mathematics/assets/interactive
_lab/algebra1/A1_07/A1_07_dev_100
.html
Texas Instruments Calculator Activity:
http://education.ti.com/educationporta
l/activityexchange/activity_detail.do?ci
d=us&activityid=4421