LEONA QSI Curriculum Map
Algebra 1A 2014-2015
Teacher:
Course Group: Algebra 1 A,B,C
Pre-Requisites: None
Course: Algebra 1A
Department: Math
Grade(s): 9-12
Unit 1:
Foundations of
Algebra
Essential Questions:
How can a relationship between quantities be represented numerically,
symbolically, or graphically?
What procedures must be followed to manipulate expressions?
CCSS Standards
(10 days)
Representing
Problems in a
Context
= Major □ = Supporting ○= Additional ★= Modeling
□N-Q.A.1Use units as a way to understand problems and
to remind you of your steps in problems. Interpret the
scale and the origin in graphs and data displays
□N-Q.A.2Define appropriate quantities for the purpose
Reason with
properties of real
numbers
Use properties to
manipulate
Polynomials
Introduction to
Problem Solving
of descriptive modeling.
□N-Q.A.3 choose a level of accuracy for your units
Core Content
(High School Standards)
Use counter examples to
disprove and prove ideas and
properties of real numbers.
Understand and apply reasoning
when using properties of rational
numbers and irrational numbers.
depending on your problem
N-RN.B.3
Explain why the sum or product of
two rational numbers are rational, that the sum of a
rational number and an irrational number is irrational, and
that the product of a nonzero rational number and an
irrational number is irrational.
A-SSE.A.1a Interpret expressions that
represent a quantity in terms of its context interpret parts
of an expression such as terms factors and coefficients.
A-SSE.A.1.b Interpret complicated
expressions by viewing one of more of their parts as a
single entity.
A-SSE.A.2
Use the structure of an
expression to identify ways to rewrite it.
A-APR.A.1
Understand that polynomials
form a system analogous to the integers, namely, they are
closed under the operations of addition, subtraction, and
multiplication; add, subtract and multiply polynomials.
Mathematical Practices
MP.1-8
Write and interpret expressions
to describe a context.
Compare expressions given a
parameter of values.
Summarize and justify processes
for simplifying, and evaluating
expressions.
Apply 2-Column style proof to
justify the process of evaluating
or simplifying expressions using
properties of real numbers.
Key Vocabulary: Equivalent, Expressions, Variable, Coefficient, Constant, Like Terms,
Simplifying, Distribution, Factor, Properties, Absolute Value, Polynomials, Degree,
Monomials, Standard Form, Leading Terms, Modeling, Reasoning, Structures, Units,
Estimate, Translate, Represent, Strategic
Tier 3 Support
Define and identify
variables, operations,
expressions, equations,
and inequalities
Translating
Expressions
Apply all four
operations with whole
numbers, fractions and
decimals and
equivalent forms of
numbers.
Apply all four
operations with
integers
Evaluate and expand
exponents
Properties of exponents
and radicals
Relate the properties of
operations with integers to the
use of operations within the
system of polynomials.
Use substitution of
numerical values for
variables to evaluate
expressions
Apply various problem solving
techniques.
Formal
Evaluate expressions
using correct order of
operations
Resources
1.
Rational and Irrational Properties
http://map.mathshell.org/materials/download.ph
p?fileid=1267
2.
Simplifying Expressions
http://ispeakmath.wordpress.com/2012/10/02/si
mplifying-algebraic-expressions-activity/
3.
Bingo http://edubakery.com/BingoCards/Simplifying-Algebraic-Expressions-v1Bingo-Cards
4.
Interactive
http://www.classzone.com/cz/books/algebra_1_
2011_na/get_chapter_group.htm?cin=1&ci=1&
rg=animated_math&at=animations&var=anima
tions
Writing Expressions
http://map.mathshell.org/materials/download.ph
p?fileid=694
Pre Test
Quizzes
Identify words that are
interpreted into math
symbols such as
product quotient, sum,
and difference and let
“s” represent salary etc.
Apply all four operations to
simplify polynomials. (Dividing
only by monomials)
Identify parts of a problem and
justify processes used to solve.
Assessment
Unit Test
Informal
Checking for
Understanding
Questioning
Completion of
Project/Activity/
Assignments
5.
Summarization
of Learning
6.
Order of Operations: Chris Shore: 4-Digit
Problem See Appendix A
7.
Writing Expression: Chris Shore: Number
Tricks Lesson Plan See Appendix A
8.
Writing Expressions in a context Pool Tile
Problem
http://www.learner.org/workshops/algebra/wor
kshop1/lessonplan1.html
9.
Introduction to Problem Solving
http://illuminations.nctm.org/LessonDetail.aspx
?id=L816
Daily Exit Slip
10. Sample Task Items:
http://www.illustrativemathematics.org/standar
ds/hs
11. Mathalicious – Romeo and Juliet
Updated: 2/8/2016
LEONA QSI Curriculum Map
Algebra 1A 2014-2015
Teacher:
Course Group: Algebra 1 A,B,C
Pre-Requisites: None
Course: Algebra 1A
Department: Math
Grade(s): 9-12
Unit 2:
Linear Equations
Essential Questions:
How can equations be used to solve problems in context?
How can the structure of an equation help determine a solution strategy?
CCSS Standards
(15 days)
= Major □ = Supporting ○= Additional ★= Modeling
○N-RN.3, □N-Q.1, □N-Q.2, □N-Q.3,
Single Variable
Equations in
Context
Applications of
Ratios &
Proportions*
Rewriting
Literal
Equations &
Formulas
Solve Equations
that Include
Radicals**
A-SSE.1a,
A-
SSE.1.b, A-SSE.2
A-CED.1Create equations and inequalities in
one variable and use them to solve problems. Include
equations arising from linear and quadratic functions, and
simple rational and exponential functions. Tasks are
limited to linear, quadratic, or exponential equations with
integer exponents.
A-CED.3
Represent constraints by equations
or inequalities, and by systems of equations and/or
inequalities, and interpret solutions as viable or nonviable options in a modeling context. For examples,
represent inequalities describing nutritional and cost
constraints on combinations of different foods.
A-CED.4 Rearrange formulas to highlight a
quantity of interest, using the same reasoning as in
solving equations.
A-REI.1
Explain each step in solving a simple
equation as following from the equality of numbers
asserted at the previous step, starting from the assumption
that the original equation has a solution. Construct a
viable argument to justify a solution method.
A-REI.3
*8th grade standard
that will be tested
** Not tested –
Advanced Concept
Solve linear equations and inequalities
in one variable, including equations with coefficients
represented by letters
.
Mathematical Practices
MP.1-8
Key Vocabulary: Equivalent, Variable, Coefficient, Constant, Like Terms, Simplifying,
Distribution, Factor, Properties, Modeling, Reasoning, Structures, Units, Estimate, Translate,
Represent, Strategic, Equations, Inverse Operations, Reciprocal, Identity, Formula, Reasonable
Solutions, Critique, Rearrange, Quantity of Interest
Core Content
(High School Standards)
Tier 3 Support
Represent a situation in context
with an algebraic equation.
Identify and interpret
word problems using
math symbols
including substituting
letters for values such
as let “s” represent
Sally’s salary etc.
Identifying constraints within a
context to determine if a solution
is viable or non-viable.
Assessment
Formal
Quizzes
Unit Test
Informal
Express constraints symbolically
based on the given context and
related to the solution and
equation.
Solve equations (including
absolute value) and interpret
their solution.
Identify the use of real number
properties in order to maintain
the balance of equations while
solving equations.
Summarize processes for solving
equations.
Apply 2-Column style proof to
justify the process of solving
equations using properties of
real numbers.
Compare and evaluate various
strategies for solving multistep
equations.
*Use ratios and proportional
reasoning to solve as an equation
in a context.
Understand and Apply
inverse operations.
Substitute values in
equations to check if
solutions are correct.
Combine like terms to
simplify expressions.
Apply the distributive
property to expressions
with integers and
fractions.
Know the definition of
absolute value and
understand why there
are two solutions to
absolute value
equations.
Checking for
Understanding
Questioning
Completion of
Project/Activity/
Assignment
Summarizatio
n of Learning
Daily Exit Slip
Resources
1. Introduction to Solving Equations
http://www.funbrain.com/guess2/index.html
2. Solving Equations with Balance Scale
http://illuminations.nctm.org/LessonDetail.aspx?
ID=U170
3. Interactive App for solving Equations with
Balance
www.mathplayground.com/algebraequations.htm
l
4. http://www.mathplayground.com/algebraic_reaso
ning.html
5. Interactive App for solving Equations with
Balance
http://nlvm.usu.edu/en/nav/framesasid324g4t2.ht
ml?open=instructions&from=categoryg4t2.html
6. Interactive Solving Equations with
Properties:http://www.shodor.org/interactivate/ac
tivities/EquationSolver/
http://www.shodor.org/interactivate/activities/Al
gebraFour/
7. Interactive:
http://www.classzone.com/cz/books/algebra_1_2
011_na/get_chapter_group.htm?cin=3&rg=anim
ated_math&at=animations&npos=1&spos=3&va
r=animations
8. Solving Equation and Identities
http://map.mathshell.org/materials/lessons.php?ta
skid=218
9. Mathalicious – Text Me Later
10. Dan Meyer: Falling Glow Sticks
http://mrmeyer.com/threeacts/fallingglowsticks/
11. Dan Meyer: Fort Steuben
https://s3.amazonaws.com/threeacts/fortsteuben.z
ip
12. Dan Meyer: Bolt
https://s3.amazonaws.com/threeacts/bolt.zip
13. Proportions Hook http://www.101qs.com/2115minime
14. Application of Ratios and Proportions Pepsi
Points
Updated: 2/8/2016
LEONA QSI Curriculum Map
Algebra 1A 2014-2015
Teacher:
Course Group: Algebra 1 A,B,C
Pre-Requisites: None
Course: Algebra 1A
Department: Math
Grade(s): 9-12
http://mrpiccmath.weebly.com/1/post/2012/07/3acts-pepsi-points.html
15. Proportional Reasoning - Investigation of
Evaluate and critique the
reasonableness of solutions.
Mullets
http://mrvaudrey.com/2012/05/03/the-onlylesson-theyll-remember/
16. Dan Meyer: Finals Week
http://threeacts.mrmeyer.com/finalsweek/
17. Proportional Application - Bungee
http://illuminations.nctm.org/LessonDetail.
aspx?id=L646
18. Dan Meyer: Bone Collector
https://s3.amazonaws.com/threeacts/boneco
llector.zip
19. Proportions Application - Chris Shore
Counting Fish. See Appendix A
20. Proportional Application - Racing
proportional to height.
http://www.mathalicious.com/lesson/onyour-mark/
21. Sample Task Items:
http://www.illustrativemathematics.org/stan
dards/hs
Rewrite formulas for specified
variable.
Apply reasoning to justify the
process of manipulating
formulas using properties of real
numbers.
Evaluate and compare various
processes for rewriting a
formula.
Solve and critique methods for
solving equations that include
radicals.**
Unit 3:
Inequalities
Essential Questions:
How can inequalities be used to solve problems in context?
How can the structure of an inequality help determine a solution
strategy?
CCSS Standards
(5 days)
= Major □ = Supporting ○= Additional ★= Modeling
○N-RN.3, □N-Q.1, □N-Q.2, □N-Q.3,
Single Variable
Inequalities in
Context
Compound
Inequalities in
Context
A-SSE.1a,
A-
SSE.1.b, A-SSE.2
A-CED. 1Create equations and inequalities in
one variable and use them to solve problems. Include
equations arising from linear and quadratic functions, and
simple rational and exponential functions. Tasks are
limited to linear, quadratic, or exponential equations with
integer exponents.
A-CED.3 Represent constraints by equations or
inequalities, and by systems of equations and/or
inequalities, and interpret solutions as viable or non-
Core Content
(High School Standards)
Represent a situation in a
context with an algebraic
inequality.
Identifying constraints within a
context to determine if a solution
is viable or non-viable.
Solve inequalities and interpret
their solution.
Key Vocabulary: Equivalent, Variable, Coefficient, Constant, Like Terms, Simplifying,
Distribution, Factor, Properties, Absolute Value, Modeling, Reasoning, Structures, Units, Estimate,
Translate, Represent, Strategic, Equations, Inverse Operations, Reciprocal, Identity, Reasonable
Solutions, Critique, Rearrange, Quantity of Interest, Inequality, Compound Statements, Union,
Intersection, Line Graphs
Tier 3 Support
Identify and interpret
word problems using
math symbols
including substituting
letters for values such
as let “s” represent
Sally’s salary etc.
Assessment
Formal
Quiz
Unit Test
Informal
Understand and Apply
inverse operations.
Substitute values in
inequalities to check if
solutions are correct.
Checking for
Understanding
Resources
1. Multiple Solutions Intro to Inequalities
http://map.mathshell.org/materials/downloa
d.php?fileid=778
2. 3-Act Lesson http://www.101qs.com/2327woodys-raise
3. Interactive
http://www.classzone.com/cz/books/algebr
a_1_2011_na/get_chapter_group.htm?cin=
6&rg=animated_math&at=animations&npo
s=2&spos=6&var=animations
Questioning
Updated: 2/8/2016
LEONA QSI Curriculum Map
Algebra 1A 2014-2015
Teacher:
Course Group: Algebra 1 A,B,C
Pre-Requisites: None
Course: Algebra 1A
Department: Math
Grade(s): 9-12
Solve Absolute
Value
Inequalities**
viable options in a modeling context. For examples,
represent inequalities describing nutritional and cost
constraints on combinations of different foods.
A-REI.3
Solve linear equations and
inequalities in one variable, including equations with
coefficients represented by letters
Mathematical Practices
MP.1-8
** Not tested –
Advanced Concept
.
Summarize processes for solving
inequalities.
Combine like terms to
simplify expressions.
Completion of
Project/Activity/
Apply 2-Column style proof to
justify the process of solving
inequalities using properties of
real numbers.
Apply the distributive
property to expressions
with integers and
fractions.
Assignment
Compare and evaluate various
strategies for solving multistep
inequalities.
Draw a number line by
appropriately placing
positives, negatives,
and zero
Translate meaning of
inequalities graphed on a
number line.
Graph inequalities on a
number line.
4. Sample Task Items:
http://www.illustrativemathematics.org/stan
dards/hs
Summarizatio
n of Learning
Daily Exit Slip
Express constraints symbolically
based on the given context and
related to the solution and
inequality.
Evaluate and critique the
reasonableness of solutions.
Solve and critique methods for
solving inequalities that include
absolute value.**
Updated: 2/8/2016