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8/8/2019 Alg 1 Skill List
1/12
Skill Example/Levels WA Standard Chapter
1Add/Subtract
Fractions
no calc p 914
2 Multiply Fractions no calc p 915
3 Divide Fractions no calc p 915
4Equivalent
Fractions/decimals
no calc p 912
5 Add/subtract Real #no calc ch 2.1, 2.2, 2.3,
2.4, 2.6
6 Multiply/divide real #no calc ch 2.1, 2.2, 2.3,
2.4, 2.6
7Evaluating
Expressions
L1: no variables
L2: some variables w/known value Ch 01.1 01.2, 01.3
8Translating verbal
Phrases
A1.1.A Select andjustify functions and
equations to model andsolve problems. Ch 01
9Writing Equations
and Inequalities
L1: non-situationalL2: Situational
Ch 01
10 Testing Solutions
L1: equations 1 - 2
stepL2: inequalities 1 - 2
step
Ch 01
11 Functions
L1: Identifying
functions from graphs,mapping diagrams
L2: Identifyingfunctions from tables,
lists of ordered pairs
A1.3.A Determine
whether a relationshipis a function and
identify the domain,range, roots, and
independent anddependent variables.
Ch 01
12 Domain and Range
L1: Given domain,find the range of a
function, OR given ascatter plot
L2: Identify areasonable
domain/range(including
independent/dependentvariable) given a
function or situation
A1.3.A Determinewhether a relationship
is a function andidentify the domain,
range, roots, andindependent and
dependent variables.
Ch 01Ch 04
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13 Distribute
L1: no negativesL2: 1 or more
negatives Ch 02.5
14Simplifying
ExpressionsL1: combine like termsL2: distribute and
combine
A1.2.E Use algebraic
properties to factor andcombine like terms in
polynomials. Ch 2
15Ordering Real
Numbers
Order from least to
greatest w/out thecalculator.
L1: mostly integersand decimals
L2: includes fractions,roots
A1.2.A Know the
relationship betweenreal numbers and the
number line, andcompare and order real
numbers with andwithout the number
line.
Ch 02
16 1 & 2 Step Equations
L1: x + 5 = -2
L2: -3x + 5 = 11
A1.4.A Write and solve
linear equations andinequalities in one
variable.
Ch 03
17 Multistep Equations
L1: 3(m + 2) = -24
L2: include adistribution and CLT
step in the aboveequation
A1.4.A Write and solve
linear equations andinequalities in one
variable.
Ch 03
18 x on both sides
L1: 5x-7=7x-13L2: distribution steps
on both sides,fractions?
A1.4.A Write and solvelinear equations and
inequalities in onevariable.
Ch 03
19 Fraction Busters
Solving for x w/
fraction coefficients(2-step form)
L1: all have commondenom
L2: different denoms
A1.4.A Write and solve
linear equations andinequalities in one
variable.
Ch 03
20 Proportions
L1: nothing grouped
with xL2: x is grouped
Ch 03
21 Percent Ch 03
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22 Graph Lines (table)
L1: all integersL2: fractions/decimals
A1.4.B Write andgraph an equation for a
line given the slope andthe y-intercept, the
slope and a point on the
line, or two points onthe line, and translatebetween forms of linear
equations.
Ch 04
23 Intercepts
L1: Identify intercepts
from a graphL2: solve and interpret
intercepts from aproblem (equation or
story)
A1.4.C Identify and
interpret the slope andintercepts of a linear
function, includingequations for parallel
and perpendicular lines.
Ch 04
24 Slope
L1: given 2 pointsL2: given informationin a word problem
(with interpretation)
A1.4.C Identify andinterpret the slope andintercepts of a linear
function, includingequations for parallel
and perpendicular lines.
Ch 04
25 Slope-Intercept
L1:
L2:
A1.4.B Write and
graph an equation for aline given the slope and
the y-intercept, the
slope and a point on theline, or two points onthe line, and translate
between forms of linearequations.
Ch 04.5
26Linear Graph
Properties
L1: changes toequations/graphs
L2: Changes to wordproblems
A1.4.E Describe howchanges in the
parameters of linearfunctions and functions
containing an absolutevalue of a linear
expression affect theirgraphs and the
relationships theyrepresent.
Ch 04Ch 05
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27 Solve for y
L1: 1-2 stepsL2: 2+ steps
A1.7.D Solve anequation involving
several variables byexpressing one variable
in terms of the others.
Ch 03
28 Direct variation
L1: identifyL2: find equation A1.4.E Describe howchanges in the
parameters of linearfunctions and functions
containing an absolutevalue of a linear
expression affect theirgraphs and the
relationships theyrepresent.
Ch 04Ch 05
29 Function Notation
(A) Evaluate f(x) at x
= a; and (B) solve for xif f(x) = b
A1.3.C Evaluate f(x) at
a (i.e., f(a)) and solvefor x in the equationf(x) = b.
Ch 04.7
30 Arithmetic Sequences
on p 308 in chapter 5 A1.7.C Expressarithmetic and
geometric sequences inboth explicit and
recursive forms,translate between the
two forms, explain howrate of change is
represented in eachform, and use the forms
to find specific terms inthe sequence.
Ch 05
31 Point-Slope
L1: all integers, nonegatives
L2: some non-integersand negatives
A1.4.B Write andgraph an equation for a
line given the slope andthe y-intercept, the
slope and a point on theline, or two points on
the line, and translate
between forms of linearequations.
Ch 05.1
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32 Point-Point
L1: all integers, nonegatives
L2: some non-integersand negatives
A1.4.B Write andgraph an equation for a
line given the slope andthe y-intercept, the
slope and a point on the
line, or two points onthe line, and translatebetween forms of linear
equations.
Ch 05.1
33 Graph point-slope
A1.4.B Write and
graph an equation for aline given the slope and
the y-intercept, theslope and a point on the
line, or two points onthe line, and translate
between forms of linearequations.
Write in Standard
Form
translate from point-slope or slope-
intercept into standardform
L1: from slope-intform
L2: from point-slopeform
A1.4.B Write andgraph an equation for a
line given the slope andthe y-intercept, the
slope and a point on theline, or two points on
the line, and translatebetween forms of linear
equations.
Ch 05
34 Perpendicular Lines
L1: Identify a lineperpendicular to a
given slope through agiven point
L2: Identify a lineperpendicular to a
given line through agiven point
A1.4.C Identify andinterpret the slope and
intercepts of a linearfunction, including
equations for paralleland perpendicular lines.
Ch 05
35 Parallel Lines
L1: Identify a lineparellel to a given
slope through a given
pointL2: Identify a lineparallel to a given line
through a given point
A1.4.C Identify andinterpret the slope and
intercepts of a linear
function, includingequations for paralleland perpendicular lines.
Ch 05
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36 Data Correlation
L1: just positive vsnegative
L2: include strong vsweak
A1.6.E Describe thecorrelation of data in
scatterplots in terms ofstrong or weak and
positive or negative.
Ch 05
37 Line of Best Fit
L1: find equation
L2: find equation andinterpret slope &
intercept
A1.6.D Find the
equation of a linearfunction that best fits
bivariate data that arelinearly related,
interpret the slope andy-intercept of the line,
and use the equation tomake predictions.
Ch 05
38 Data Prediction
L1: using graph OK
L2: using equation
A1.6.D Find the
equation of a linearfunction that best fitsbivariate data that are
linearly related,interpret the slope and
y-intercept of the line,and use the equation to
make predictions.
Ch 05
39Solve Systems of
Equations--graphing
L1: all ints, sameformat
L2: not all ints and/or
different format
A1.4.D Write and solvesystems of two linear
equations and
inequalities in twovariables.
Ch 07
ENDOF
SEMESTER 1
40
Solve Systems of
Equations--
substitution
L1: all ints, same
formatL2: not all ints and/or
different format
A1.4.D Write and solve
systems of two linearequations and
inequalities in twovariables.
Ch 07
41
Solve Systems of
Equations--
elimination
L1: all ints, sameformat
L2: not all ints and/ordifferent format
A1.4.D Write and solvesystems of two linear
equations andinequalities in two
variables.
Ch 07
42Write a Systems of
Equations
A1.4.D Write and solve
systems of two linearequations and
inequalities in two
Ch 07
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variables.
43 Write Inequalities
A1.4.A Write and solvelinear equations and
inequalities in onevariable.
Ch 06
44 Graph Inequalities
A1.4.A Write and solvelinear equations and
inequalities in onevariable.
Ch 06
45 Solve Inequalities
L1: no sign flip, 1 or 2
stepL2: involves sign flip,
multistep
A1.4.A Write and solve
linear equations andinequalities in one
variable.
Ch 06
46Solve Compound
Inequalities
L1: no sign flip, 1 or 2step
L2: involves sign flip,multistep
A1.4.A Write and solvelinear equations and
inequalities in onevariable.
Ch 06
47Write Absolute Value
Equations
L1: equationsL2: Inequalities
A1.4.A Write and solvelinear equations and
inequalities in onevariable.
Ch 06
48 Solve Absolute ValueEquations
L1: equations A1.4.A Write and solve
linear equations andinequalities in onevariable.
Ch 06
49Absolute Value
Graph Properties
L1: changes in 'b'L2: Changes in 'm'
A1.4.E Describe howchanges in the
parameters of linearfunctions and functions
containing an absolutevalue of a linear
expression affect theirgraphs and the
relationships theyrepresent.
Ch 06pg 396
50Graph linear
Inequalities
A1.4.D Write and solvesystems of two linear
equations andinequalities in two
variables.
Ch 06Prep for 07
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51Graph a system of
Inequalities
L1: all ints, sameformat
L2: not all ints and/ordifferent format
A1.4.D Write and solvesystems of two linear
equations andinequalities in two
variables.
Ch 07
probablity single event Ch 13compound Probablity and/or Ch 13
52 Identify Bias
identify/correct bias:
sampling methods andquestions
A1.6.B Make valid
inferences and drawconclusions based on
data.
Ch 13
53Use and Evaluate
summary stats
stem and leaf,
histogram, centraltendancy, dispersion
A1.6.A Use and
evaluate the accuracyof summary statistics to
describe and compare
data sets.
54Box-and-Whisker
Plot
A1.6.A Use andevaluate the accuracy
of summary statistics todescribe and compare
data sets.
Ch 13
Center and Spread
A1.6.C Describe howlinear transformations
affect the center andspread of univariate
data.
Ch 13
Data transformations
A1.6.C Describe howlinear transformationsaffect the center and
spread of univariatedata.
Ch 13
55Exponent Rules
(product)
product, power,distribution rules
A1.2.B Recognize themultiple uses of
variables, determine allpossible values of
variables that satisfyprescribed conditions,
and evaluate algebraicexpressions that
involve variables.
Ch 08
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56Exponent Rules
(quotient)
quotient, power,distribution rules
A1.2.B Recognize themultiple uses of
variables, determine allpossible values of
variables that satisfy
prescribed conditions,and evaluate algebraicexpressions that
involve variables.
Ch 08
57Exponent Rules (neg,
zero)
negative, zero powers A1.2.B Recognize the
multiple uses ofvariables, determine all
possible values ofvariables that satisfy
prescribed conditions,and evaluate algebraic
expressions thatinvolve variables.
Ch 08
58 Scientific Notation
a) list in order;(translate to/from)
b) operations
A1.2.A Know therelationship between
real numbers and thenumber line, and
compare and order realnumbers with and
without the numberline.
Ch 08
59 Geometric Sequences
on p 539 in chapter 8 A1.7.C Express
arithmetic andgeometric sequences in
both explicit andrecursive forms,
translate between thetwo forms, explain how
rate of change isrepresented in each
form, and use the formsto find specific terms in
the sequence.
Ch 08
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60Graph Exponential
Functions
A1.7.A Sketch thegraph for an
exponential function ofthe form y = ab^n
where n is an integer,
describe the effects thatchanges in theparameters a and b
have on the graph, andanswer questions that
arise in situationsmodeled by
exponential functions.
Ch 08
61Model Exponental
Growth & Decay
A1.7.A Sketch thegraph for an
exponential function of
the form y = ab^nwhere n is an integer,describe the effects that
changes in theparameters a and b
have on the graph, andanswer questions that
arise in situationsmodeled by
exponential functions.A1.7.B Find and
approximate solutionsto exponential
equations
Ch 08
62Exponential Graph
Properties
A1.7.A Sketch the
graph for anexponential function of
the form y = ab^nwhere n is an integer,
describe the effects thatchanges in the
parameters a and b
have on the graph, andanswer questions thatarise in situations
modeled byexponential functions.
Ch 08
63 Polynomial Add/Sub
A1.2.F Add, subtract,multiply, and divide
polynomials.
Ch 09.1
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64Polynomial
Multiplications
L1: binomialsL2: special prods.,
trinomial
A1.2.F Add, subtract,multiply, and divide
polynomials.
Ch 09.2
65 Zero ProductPrinciple
L1: a=1
L2: a1
A1.5.C Solve quadratic
equations that can be
factored as (ax + b)(cx+ d) where a, b, c, andd are integers.
ch 09.4
66factor a common
monomial
L1: factoring outconstants
L2: factoring outmonomials
A1.2.E Use algebraicproperties to factor and
combine like terms inpolynomials.
Ch 09.4
67 Factoring Quadraticsa=1
L1: a = 1 A1.5.C Solve quadratic
equations that can be
factored as (ax + b)(cx+ d) where a, b, c, andd are integers.
Ch 09.5
68Factoring Quadratics
a1
L2 a is not 1A1.5.C Solve quadraticequations that can be
factored as (ax + b)(cx+ d) where a, b, c, and
d are integers.
Ch 09.6
69 Factoring SpecialProducts
A1.5.C Solve quadratic
equations that can be
factored as (ax + b)(cx+ d) where a, b, c, andd are integers.
Ch 09.7
70 Quadratic Formula
A1.5.D Solve quadraticequations that have real
roots by completing thesquare and by using the
quadratic formula.
Ch 10
Polynomial Division
A1.2.F Add, subtract,
multiply, and dividepolynomials.
Ch 12.3
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71Quadratic Graph
Properties
ex: how changes to theequation affect scale,
vertex position
A1.5.B Sketch thegraph of a quadratic
function, describe theeffects that changes in
the parameters have on
the graph, and interpretthe x-intercepts assolutions to a quadratic
equation.
Ch 10
72 Graph Quadratics
A1.5.B Sketch the
graph of a quadraticfunction, describe the
effects that changes inthe parameters have on
the graph, and interpretthe x-intercepts as
solutions to a quadraticequation.
Ch 10
73Solving Quadratics
by Factoring
given in f(x)= or y=form
L1: a=1L2: a1
A1.5.C Solve quadraticequations that can be
factored as (ax + b)(cx+ d) where a, b, c, and
d are integers.
Ch 09.5 & 09.6
74
Solving Quadratics
by Completing the
Square
A1.5.D Solve quadraticequations that have real
roots by completing the
square and by using thequadratic formula.
Ch 10
Recommended