pacing guide 2010-2011 time for standard...

Algebra 1 Pacing Plan 1st quarter (revised 5/10) page 1

Pacing Guide 2010-2011Subject Algebra 1 (revised 5/10)

Grade Level 8-12Grading Period 1st Quarter

AssessmentApproximate

Time forTeachingStandards

Standard Core InstructionalMaterials

StrategicSupplementary

Materials Mat’ls District

8/5 to 8/27

Weeks 1, 2, 3

2.0* Students understand and usesuch operations as taking the opposite,finding the reciprocal, taking a root,and raising to a power.

1.0 Students identify and use thearithmetic properties of subsets ofintegers and rational, irrational, andreal numbers, including closureproperties for the four basic arithmeticoperations where applicable

1.1 Students use properties ofnumbers to demonstrate whetherassertions are true or false

Holt Algebra 1Chapter 1 1-1 Variables and

Expressions

1-2 Adding andsubtracting real numbers

1-3 Multiplying anddividing real numbers

1-4 Powers andExponents

1-5 Roots and irrationalnumbers

1-6 Properties of Realnumbers

( closure propertyoptional)

1-7 SimplifyingExpressions

Holt Chapter 1 Resource File Practice workbook Review for Mastery

workbook

Algebra tiles; two-colorcounters and othermanipulative materials

AssessmentResourcesChapter 1quizzes andtests

Test andpracticegenerator






Materials Mat’ls District8/30 to 9/17

Weeks 4, 5, 62.0* Students understand and use suchoperations as taking the opposite,finding the reciprocal, taking a root,and raising to a power.

4.0* Students simplify expressions prior to solving linear equations and in one variable, such as3(2x-5) + 4(x-2) = 12

5.0* Students solve multi-stepproblems, including word problems,involving linear equations in onevariable and provide justification foreach step.

Holt Algebra 1Chapter 22-1 Solving 1 step equations

2-2 Solving 2 step equations

2-3 Solving multi-stepequations

2-4 Solving equations withvariables on both sides

2-5 Solving proportions

Using Formulas Worksheet:manipulating andevaluating formulas,such as quadraticformula, slope formula,temperature conversion,d=rt, simple interest; unitconversions, etc.


workbook

Algebra tiles and othermanipulative materials

Pan Balance

Virtual tiles, balances, andother virtual materials online(see nlvm)

Teacher made worksheet

Chapter 2quizzes andtests

Test andpracticegenerator







9/20 to 10/1

Weeks 7, 8

10/4 to 10/7Week 9

4.0* Students simplify expressionsprior to solving linear equations andinequalities in one variable, such as3(2x-5) + 4(x-2) = 12

5.0* Students solve multi-stepproblems, including word problems,involving linear equations and linearinequalities in one variable and providejustification for each step.

Review and Benchmark

Holt Algebra 1Chapter 33-1 Graphing and writing

inequalities

3-2 Solving inequalities byadding or subtracting

3-3 Solving inequalities bymultiplying and dividing

3-4 Solving 2 and multi-step inequalities

3-5 Solving inequalitieswith variables on bothsides

3-6 Solving compoundinequalities

2-7 and 3-7 Moved toQuarter 2


workbook


AssessmentResourcesChapter 3

Test andPracticeGenerator

DistrictBenchmarkTestOct. 4 - 7






Materials Mat’ls DistrictEmbedded inCurriculumWeeks 1-8

24. 1 Students explain the differencebetween inductive and deductivereasoning and identify andprovide examples of each.

24.2 Students identify the hypothesis and conclusion in logical

deduction.

24.1 Students use counterexamples to show that an assertion is false and

recognize that a single counterexample is sufficient to

refute an assertion.

25.1 Students use properties ofnumbers to construct simple,valid arguments (direct andindirect) for, or formulatecounterexamples to, claimedassertions.

25.2 Students judge the validity of an argument according to whether

the properties of the real number system and the order of operations

have been applied correctly at each step25.3

Algebra 1 2nd Quarter Pacing Plan (Revised 5/10) page 1


Grade Level 8-12

Grading Period 2nd Quarter





Materials Mat’ls District10/12 – 10/15

Week 10

10/18 – 10/22

Week 11

3.0 Students solve equations andinequalities involving absolutevalues

16.0 Students understand the concepts of a relation and a function, determinewhether a given relation defines afunction, and give pertinentinformation about given relationsand functions.

17.0 Students determine thedomain or independent variables andthe range of dependent variablesdefined by a graph, a set of ordered pairs, or a symbolic expression.

18.0 Students determine whether arelation defined by a graph, a set ofordered pairs, or a symbolic expressionis a function and justify the conclusion

Holt Algebra 1 Chapter 2and 32-7 Solving absolute value

equations

3-7 Solving absolute valueinequalities

Holt Algebra 1Chapter 4

4-1 Graphing relationships

4-2 Relations and functions

4-3 Writing functions –focus on evaluatingfunctions and functionalnotation

4-4 Scatter plots and trendlines – activity based; realworld focus

{Skip4-5 Arithmeticsequences}

Holt Chapter 2 and 3 Resource

File Practice workbook Review for Mastery

workbook

Graphing CalculatorsAlgebra tiles and othermanipulative materials

Holt lab resouces

HoltAssessmentResourcesChapter 2and 3quizzes andtests








10/25 – 11/ 19

Weeks 12, 13, 14, 15

6.0 Students graph a linear equationand compute the x- and y- intercepts( e.g., graph 2x + 6y = 4) They arealso able to sketch the region definedby linear inequality ( e.g. they sketchthe region defined by 2x + 6y < 4)

7.0* Students verify that a point lieson a line, given an equation of the line.Students are able to derive linearequations using the point - slopeformula.

8.0 Students understand the conceptsof parallel lines and perpendicularlines and how those slopes are related.Students are able to find the equationof a line perpendicular to a given linethat passes through a given point


5-1 Linear equations andfunctions

5-2 Using intercepts

5-3 Slope

{Skip5-4 Direct variation}

5-5 Slope intercept form

(Optional:5-6 point slopeform)

5-7 Slopes of parallel andperpendicular lines

Holt Chapter 5 Resource File Practice workbook

Review for Masteryworkbook


Graphing Calculators andCalculator BasedLaboratories (CBL’s)


Quizzes andtests






Materials Mat’ls District11/ 22 – 12/ 10

Weeks 16 , 17, 18

__________________December 13 - 17

6.0 Students graph a linear equationand compute the x- and y- intercepts( e.g., graph 2x = 6y = 4) They arealso able to sketch the region definedby linear inequality ( e.g. they sketchthe region defined by 2x + 6y < 4)

8.0 Students understand the conceptsof parallel lines and perpendicular lines and how those slopes are related. Students are able to find the equation of a line perpendicular to a given line that passes through a given point

9.0 Students solve a system of linearequations in two variablesalgebraically and are able to interpretthe answer graphically. Students areable to solve a system of two linearinequalities in two variables and tosketch the solution sets.

15. Students apply algebraictechniques to solve rate problems,work problems , and percentmixture problem

Review standards from first half ofyear


6-1 Solving systems bygraphing

6-2 Solving systems bysubstitution

6-3 Solving systems byelimination

6-4 Solving specialsystems

6-5 Applying systems

6-6 Solving linearinequalities

6-7 Solving systems oflinear inequalities


workbook


Graphing calculators andCBL’s


__________Finals andMid-yearExams

________DistrictBenchmarkTest?






Materials Mat’ls DistrictWeek 19

Embedded inCurriculumWeeks 9- 18

24.1 Students explain the differencebetween inductive and deductivereasoning and identify andprovide examples of each.

24.2 Students identify the hypothesis and conclusion in logical deduction.

24.2 Students use counterexamples to show that an assertion is false and recognize that a single counterexample is sufficient to refute an assertion.

25.1 Students use properties ofnumbers to construct simple,valid arguments (direct andindirect) for, or formulatecounterexamples to, claimedassertions.

25.2 Students judge the validity of an argument according to whether the properties of the real number system and the order of operations have been applied correctly at each step

Algebra 1 3rd Quarter (revised 05 / 10) page 1


Grade Level 8-12

Grading Period 3rd Quarter






1/ 6 – 1/25

Weeks 20, 21

2.0 Students understand and use suchoperations as taking the oppsite,finding the reciprocal, taking a root,and raising to a fractional power. Theyunderstand and use the rules ofexponents.

10. Studentss add, subtract, multiply ,and divide monomials andpolynomials. Students solvemultistep problems, includingword problems, by using thesetechniques.

Holt Algebra 1Chapter 77-1 Integer Exponents

(Optional 7-2 powers of 10and scientific notation)

7-3 Multiplication propertiesof exponents

7-4 Division properties ofExponents

1 day mixed review ofmultiplication and divisionproperties

{Skip 7-5 fractionalexponents}

{ Skip 7-6 Polynomials, butuse vocabulary in latersections}

7-7 Adding and subtractingpolynomials


workbook









1/ 26 – 2/11

Weeks 21, 22, 23

11. 0 Students apply basic factoringtechniques to second and simple thirddegree polynomials. These techniquesinclude finding a common factor for allterms in a polynomial, recognizing thedifference of two squares, andrecognizing perfect squares ofbinomials.

7-8 Multiplying polynomials

7-9 special products ofbinomials

Holt Algebra 1Chapter 8{Skip 8-1 Factors and

greatest commonfactors}

8-2 Factoring by GCF {skipfactoring by grouping}

8-3 Factoring x2+bx+c

8-4 Factoring ax2+bx+c

8-5 Factoring specialproducts

8-6 Choosing a factoringmethod

Note: Optional: Chapter 10after 8 and before 9 whilefactoring is fresh

Algebra tile lab – identifyinglike terms


workbook


Teacher made worksheet








2/14 – 3/ 7

Weeks 26-27- 28

2.0 Students understand and use suchoperations as taking the oppsite, finding therecirocal, taking a root, and raising to afractional power. They understand and usethe rules of exponents.

14.0 Students solve a quadratic equationby factoring or completing the square.17.0 Students determine the domain inindependent variables and the range ofdependent varialbels defined by a graph , aset of ordered pairs , or a symbolicexpression.19.0 Students know the quadritic formulaand are familiar with its proof bycompleting the square.20.0 Students use the quaratic formula tofind the roots of a second-degreepolynomial and to solve quadraticequations.21.0Students graph quadratic functions andknow that their roots are x-intercepts.22.0 Students use the quadratic firmula orfactoring techniques or both to determinewhether the graph if a quadratic functionwill intersect the x-axis in zero, one, or twopoints .23.0 Students apply quadratic equations tophysical problems, such as the motion of anobject under the force of gravity .


9-1 Quadratic equations andfunctions

9-2 Characteristics ofquadratic functions (skipaxis of symmetry)

9-3 graphing quadraticfunctions

(Note: focus on 9-2 in firstthree sections andemphasize relationshipbetween zeros and x-intercepts on graphs.

Also, emphasizeupward/downwardfacing, intercepts,whether it will be“skinny” or “fat”,domain and range, and a“T”-table for graphing)

{Skip 9-4 Solving quadraticequations by graphing}

9-5 Solving quadraticequations by factoring

9-6 Solving quadratic


workbook


Graphing calculators and/orGraphing software

Matching equations ofquadratics with graphsworksheet (called GraphingQuadratic Equations)








3/8 – 3/11week 29

Embedded inCurriculumWeeks 19- 28

Review all standards

24.1 Students explain the differencebetween inductive and deductivereasoning and identify and provideexamples of each

24.2Students identify the hypothesisand conclusion in logical deduction.

24.3 Students use counterexamples toshow that an assertion is false andrecognize that a single counterexampleis sufficient to refute an assertion.

25.1Students use properties of numbersto construct simple, valid arguments(direct and indirect) for, or formulatecounterexamples to, claimed

equations by usingsquare roots

9-7 Completing the square

9-8 The quadratic formula

9-9 The discriminant

Algebra tiles

DistrictBenchmarkMarch 7-11?






Materials Mat’ls Districtassertions.25.2 Students judge the validity ofan argument according to whether theproperties of the real number systemand the order of operations have beenapplied correctly at each step.

25.3 Given a specific algebraicstatement involving linear,quadratic, or absolute valueexpressions or equations orinequalities, students determinewhether the statement is truesometimes, always, or never.

Algebra 1, 4th Quarter revised 6/09 page 1


Grade Level 8-12

Grading Period 4th Quarter





Materials Mat’ls District3/21- 4/4

Weeks 29-30

12.0 Students simplify fractions withpolynomials in the numerator anddenomenator by factoring both andreducing them to the lwest terms .

13.0 Students add, subtract , multiply,and divide rational expressiosns andfunctions. Students solve bothcomputationally and conceptuallychallenging problems by using thesetechniques.

15.0 Students apply algebraictechniques to solve rate , workproblems, and and percent mixtureproblems

17.0 Students determine the domain inindependent variables and the range ofdependent varialbels defined by agraph , a set of ordered pairs , or asymbolic expression.

10.0 Students add, subtract, multiply ,and divide monomials andpolynomials. Students solve multistepproblems, including word problems, byusing these technique


{Skip 10-1 Inverse variation}

{Skip 10-2 Rational functions}

10-3 Simplifying rationalexpressions

10-4 Multiplying and dividingrational expressions {skipprobability}

10-5 Adding and subtractingrational expressions

{Skip 10-6 Dividingpolynomials}

10-7 Solving rational equations(examples 1 and 2 only inHolt)

10 – 8 Applying rationalequations (focus on workproblems)

Holt Chapter 10Resource File Practice workbook Review for Mastery

workbook







Materials Mat’ls District4/6 to ?

___________________

?

Review of all Algebra 1 standards .

State testing ?

2.0 Students understand and use suchoperations as taking the oppsite,finding the recirocal, taking a root, andraising to a fractional power. Theyunderstand and use the rules ofexponent

7.0 Students verify that a point lies ona lone, given an equation of the line.Students are able to derive linearequations by using the point-slopeformula

Holt Algebra 1Chapters 1 - 10

Holt Algebra 1Chapter 11 (Optional)11-1 Square root functions

11-2 Radical expressions

11-3 Adding andsubtracting radicalexpressions

11-4 Multiplying anddividing radical expressions

11-5 Solving radicalEquations

11-6 Geometric sequences

11-7 Exponential functions

11-8 Exponential Growth anddecay

11-9 Linear, quadratic andexponential models

Holt resource booksFocus on California

Standards-Benchmark Test

-Intervention-Review for Mastery


workbook


__________


May 24-26?High schoolfinals

________


Note: Teachers may choose to substitute a cumulative project instead of chapter 11 as long as it is at an appropriate level.

pacing guide 2010-2011 time for standard...

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