Alg 1 Skill List

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


2/12

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



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



variable.

Ch 03

20 Proportions

L1: nothing grouped

with xL2: x is grouped

Ch 03

21 Percent Ch 03


3/12

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


4/12

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





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



slope and a point on theline, or two points on

the line, and translate


Ch 05.1


5/12

32 Point-Point

L1: all integers, nonegatives

L2: some non-integersand negatives



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


Write in Standard

Form

translate from point-slope or slope-

intercept into standardform

L1: from slope-intform

L2: from point-slopeform



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


6/12

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


L2: not all ints and/ordifferent format


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


7/12

variables.

43 Write Inequalities



Ch 06

44 Graph Inequalities



Ch 06

45 Solve Inequalities

L1: no sign flip, 1 or 2

stepL2: involves sign flip,

multistep



variable.

Ch 06

46Solve Compound

Inequalities

L1: no sign flip, 1 or 2step

L2: involves sign flip,multistep



Ch 06

47Write Absolute Value

Equations

L1: equationsL2: Inequalities



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





Ch 06pg 396

50Graph linear

Inequalities



variables.

Ch 06Prep for 07


8/12

51Graph a system of

Inequalities


L2: not all ints and/ordifferent format



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


9/12

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


10/12

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


11/12

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



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



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


12/12

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

Alg 1 Skill List

Documents

Transcript of Alg 1 Skill List