Portales High School – Algebra I
Common Core State Standards for Mathematics
1ST NINE WEEKS
ESSENTIAL QUESTIONS FOR 1ST NINE WEEKS:
1. How can you represent quantities, patterns, and relationships
2. How are properties related to algebra?
3. Can equations/inequalities that appear to be different be equivalent?
4. How can you solve equations and inequalities?
5. What kinds of relationships can proportions represent?
6. How do you represent relationships between quantities that are not equal?
CCSS
Number and Quantity: N.RN
3. Explain why sums and
products of 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.
CONTENT KNOWLEDGE/SKILLS
-Classify, graph and compare real
numbers (1.3)
-Find and estimate square roots (1.3)
-Identify and use properties of real
numbers (1.4)
-Find sum and differences of real
numbers (1.5)
-Find products and quotients of real
numbers (1.6)
Number and Quantity: N.Q
1. Use units as a way to
-Rewrite and use literal equations
and formulas (2.5)
REVISED:
VOCABULARY
Square root,
radicand, radical,
perfect square, set,
element of a set,
subset, rational
numbers, natural
numbers, whole
numbers, integers,
irrational numbers,
real numbers,
inequality,
equivalent
expressions,
deductive
reasoning,
counterexample,
absolute value,
opposites, additive
inverse,
multiplicative
inverse, reciprocal
Literal equation,
formula, ratio, rate,
MATH PRACTICES/ASSESSMENT/RESOURCES
Pearson Online Teacher Resource Center: Game 1-4 “You’ve
Got My Property”
Pearson Online Teacher Resource Center: Activity 2-5
“Advertising Formulas”
1
Portales High School – Algebra I
understand problems and to
guide the solution of multistep problems, choose and
interpret units consistently in
formulas; choose and
interpret the scale and the
origin in graphs and data
displays
Number and Quantity: N.Q
2. Define appropriate
quantities for the purpose of
descriptive modeling.
Number and Quantity: N.Q
3. Choose a level of
accuracy appropriate to
limitations on measurement
when reporting quantities.
Algebra: A.SSE
1.a Interpret expressions
that represent a quantity in
terms of its context.
Algebra: A.SSE
1.b Interpret complicated
expressions by viewing one
or more of their parts as a
REVISED:
Common Core State Standards for Mathematics
-Find ratios and rates (2.6)
-Convert units and rates (2.6)
-Solve and apply proportions (2.7)
unit rate, conversion
factor, unit analysis,
proportion, cross
products, cross
products property
-Find ratios and rates (2.6)
-Convert units and rates (2.6)
-Use multiplication or division to
solve inequalities (3.3)
- To solve percent problems using
proportions (2.9)
-To solve percent problems using the
percent equation (2.9)
-Find percent change (2.10)
-Find the relative error in linear and
nonlinear measurements (2.10)
-Write algebraic expressions (1.1)
-Simplify expressions involving
exponents (1.2)
-Use the order of operations to
evaluate expressions (1.2)
-Use the Distributive Property to
simplify expressions (1.7)
Ratio, rate, unit rate,
conversion factor,
unit analysis
Pearson Online Teacher Resource Center: Activity 2-6
“Everyday Ratios and Rates”
proportion, percent
equation, percent
change, percent
increase, percent
decrease, relative
error, percent error
Pearson All-in-one resources/online: Enrichment 2-10
“Change Expressed as a Percent”
Quantity, variable,
algebraic
expression,
numerical
expression, power,
exponent, base,
simplify, evaluate,
Distributive
Property, term,
constant, coefficient,
like terms
Absolute value
1-2 Think about a Plan “Order of Operations and Evaluating
Expressions”
-Solve equations and inequalities
involving absolute value (3.7)
Pearson All-In-One Resources/Online: Enrichment 3-7
“Absolute Value Equations and Inequalities”
2
Portales High School – Algebra I
Common Core State Standards for Mathematics
single entity
Algebra: A.CED
1. Create equations and
inequalities in one variable
and use them to solve
problems.
REVISED:
-Solve equations using tables and
mental math (1.8)
-Solve one-step equations in one
variable (2.1)
-Solve two-step equations in one
variable (2.2)
-Solve multi-step equations in one
variable (2.3)
-Solve equation with variables on
both sides (2.4)
-Identify equations that are identities
or have no solution (2.4)
-Rewrite and use literal equations
and formulas (2.5)
-Solve and apply proportions (2.7)
-Find missing lengths in similar
figures (2.8)
-Use similar figures when measuring
indirectly (2.8)
-Use additions or subtraction to solve
inequalities (3.2)
-Use multiplication or division to
solve inequalities (3.3)
-Solve multi-step inequalities (3.4)
-Solve and graph inequalities
containing the word and (3.6)
-Solve and graph inequalities
containing the work or (3.6)
-Solve equations and inequalities
involving absolute value (3.7)
-Find the unions and intersections of
sets
Equation, open
sentence, solution
of an equation,
equivalent
equations, Addition
Property of Equality,
Subtraction Property
of Equality, isolate,
inverse operations,
Multiplication
Property of Equality,
Division Property of
Equality, identity,
literal equation,
formula, proportion,
cross products,
Cross Products
Property, similar
figures, scale
drawing, scale,
scale model,
equivalent
inequalities,
compound
inequality, interval
notation, union,
intersection, disjoint
sets
Pearson Online Teacher Resource Center: Puzzle 2-4
“Breaking the Code”
3
Portales High School – Algebra I
Common Core State Standards for Mathematics
Algebra: A.CED
2. Create equations in two or
more variables to represent
relationships between
quantities; graph equations
on coordinate axes with
labels and scales.
-Use tables, equations, and graphs
to describe relationships (1.9)
Solutions of an
equation, inductive
reasoning
Pearson All-In-One Resources/Online: Enrichment 1-9
“Patterns, Equations, and Graphs”
Algebra: A.CED
4. Rearrange formulas to
highlight a quantity of
interest, using the same
reasoning as in solving
equations
Algebra: 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.
Algebra: A.REI
3. Solve linear equations
and inequalities in one
variable, including equations
with coefficients represented
by letters
REVISED:
--Rewrite and use literal equations
and formulas (2.5)
Literal equation,
formula
Pearson Online Teacher Resource Center: Activity 2-5
“Advertising Formulas”
-Solve two-step equations in one
variable (2.2)
-Solve multi-step equations in one
variable (2.3)
-Solve equations with variable on
both sides (2.4)
-Identify equations that are identities
or have no solution (2.4)
-Rewrite and use literal equations
and formulas (2.5)
Solving two-step
equations, identity,
literal equation,
formula
Pearson Online Teacher Resource Center: Activity 2-3
“Actors and Equations”
-Solve one-step equations in one
variable (2.1)
-Solve two-step equations in one
variable (2.2)
-Solve multi-step equations in one
variable (2.3)
equivalent
equations, Addition
Property of Equality,
Subtraction Property
of Equality, isolate,
inverse operations,
Pearson Online Teacher Resource Center: Game 2-1
“Algebra 1- Step”
2-3 Think About a Plan: “Solving Multi-step Equations”
Pearson Online Teacher Resource Center: Activity 3-3 “A
Real Find”
4
Portales High School – Algebra I
Algebra: A.REI
10, Understand that the
graph of an equation in two
variables is the set of all its
solutions plotted in the
coordinate plane, often
forming a curve (which could
be a straight line.
REVISED:
Common Core State Standards for Mathematics
-Solve equation with variables on
both sides (2.4)
-Identify equations that are identities
or have no solution (2.4)
-Rewrite and use literal equations
and formulas (2.5)
-Solve and apply proportions (2.7)
-Find missing lengths in similar
figures (2.8)
-Use similar figures when measuring
indirectly (2.8)
-Write, graph, identify solutions of
inequalities
-Use additions or subtraction to solve
inequalities (3.2)
-Use multiplication or division to
solve inequalities (3.3)
-Solve multi-step inequalities (3.4)
-Write sets and identify subsets (3.5)
-Find the complement of a set (3.5)
-Solve and graph inequalities
containing the word and (3.6)
-Solve and graph inequalities
containing the work or (3.6)
Multiplication
Property of Equality,
Division Property of
Equality, identity,
literal equation,
formula, proportion,
cross products,
Cross Products
Property, similar
figures, scale
drawing, scale,
scale model,
equivalent
inequalities,
compound
inequality, solutions
of an inequality
roster form, setbuilder notation,
empty set, universal
set, complement of
a set
-Use tables, equations, and graphs
to describe relationships (1.9)
Solution of an
equation, inductive
reasoning
PowerAlgebra.com Guided Instruction
Enrichment 1-9: “Patterns, Equations, and Graphs”
5
Portales High School – Algebra I
REVISED:
Common Core State Standards for Mathematics
6
Portales High School – Algebra I
Common Core State Standards for Mathematics
2ND NINE WEEKS
ESSENTIAL QUESTIONS FOR 2ND NINE WEEKS:
CCSS
REVISED:
CONTENT KNOWLEDGE/SKILLS
VOCABULARY
MATH PRACTICES/ASSESSMENT/RESOURCES
7
Portales High School – Algebra I
Common Core State Standards for Mathematics
3RD NINE WEEKS
ESSENTIAL QUESTIONS FOR 3RD NINE WEEKS:
CCSS
REVISED:
CONTENT KNOWLEDGE/SKILLS
VOCABULARY
MATH PRACTICES/ASSESSMENT/RESOURCES
8
Portales High School – Algebra I
Common Core State Standards for Mathematics
4TH NINE WEEKS
ESSENTIAL QUESTIONS FOR 4TH NINE WEEKS:
CCSS
REVISED:
CONTENT KNOWLEDGE/SKILLS
VOCABULARY
MATH PRACTICES/ASSESSMENT/RESOURCES
9
James Elementary School – 2nd Grade
Common Core State Standards for Mathematics
1ST NINE WEEKS
ESSENTIAL QUESTIONS FOR 1ST NINE WEEKS:
CCSS
REVISED:
CONTENT KNOWLEDGE/SKILLS
VOCABULARY
MATH PRACTICES/ASSESSMENT/RESOURCES
10
James Elementary School – 2nd Grade
Common Core State Standards for Mathematics
2ND NINE WEEKS
ESSENTIAL QUESTIONS FOR 2ND NINE WEEKS:
CCSS
REVISED:
CONTENT KNOWLEDGE/SKILLS
VOCABULARY
MATH PRACTICES/ASSESSMENT/RESOURCES
11
James Elementary School – 2nd Grade
Common Core State Standards for Mathematics
3RD NINE WEEKS
ESSENTIAL QUESTIONS FOR 3RD NINE WEEKS:
CCSS
REVISED:
CONTENT KNOWLEDGE/SKILLS
VOCABULARY
MATH PRACTICES/ASSESSMENT/RESOURCES
12
James Elementary School – 2nd Grade
Common Core State Standards for Mathematics
4TH NINE WEEKS
ESSENTIAL QUESTIONS FOR 4TH NINE WEEKS:
CCSS
REVISED:
CONTENT KNOWLEDGE/SKILLS
VOCABULARY
MATH PRACTICES/ASSESSMENT/RESOURCES
13