pacing guide 2010-2011 time for standard...
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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
Algebra 1 Pacing Plan 1st quarter (revised 5/10) page 2
AssessmentApproximate
Time forTeachingStandards
Standard Core InstructionalMaterials
StrategicSupplementary
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.
Holt Chapter 2 Resource File Practice workbook Review for Mastery
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
Algebra 1 Pacing Plan 1st quarter (revised 5/10) page 3
AssessmentApproximate
Time forTeachingStandards
Standard Core InstructionalMaterials
StrategicSupplementary
Materials Mat’ls District
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
Holt Chapter 3 Resource File Practice workbook Review for Mastery
workbook
Algebra tiles and othermanipulative materials
AssessmentResourcesChapter 3
Test andPracticeGenerator
DistrictBenchmarkTestOct. 4 - 7
Algebra 1 Pacing Plan 1st quarter (revised 5/10) page 4
AssessmentApproximate
Time forTeachingStandards
Standard Core InstructionalMaterials
StrategicSupplementary
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
Pacing Guide 2010-2011Subject Algebra 1 (revised 5/10)
Grade Level 8-12
Grading Period 2nd Quarter
AssessmentApproximate
Time forTeachingStandards
Standard Core InstructionalMaterials
StrategicSupplementary
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
AssessmentResourcesChapter 4quizzes andtests
Algebra 1 2nd Quarter Pacing Plan (Revised 5/10) page 2
AssessmentApproximate
Time forTeachingStandards
Standard Core InstructionalMaterials
StrategicSupplementary
Materials Mat’ls District
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
Holt Algebra 1Chapter 5
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
Algebra tiles and othermanipulative materials
Graphing Calculators andCalculator BasedLaboratories (CBL’s)
AssessmentResourcesChapter 5
Quizzes andtests
Algebra 1 2nd Quarter Pacing Plan (Revised 5/10) page 3
AssessmentApproximate
Time forTeachingStandards
Standard Core InstructionalMaterials
StrategicSupplementary
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
Holt Algebra 1Chapter 6
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
Holt Chapter 6 Resource File Practice workbook Review for Mastery
workbook
Algebra tiles and othermanipulative materials
Graphing calculators andCBL’s
AssessmentResourcesChapter 6
__________Finals andMid-yearExams
________DistrictBenchmarkTest?
Algebra 1 2nd Quarter Pacing Plan (Revised 5/10) page 4
AssessmentApproximate
Time forTeachingStandards
Standard Core InstructionalMaterials
StrategicSupplementary
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
Pacing Guide 2010-11Subject Algebra 1 (revised 6/09)
Grade Level 8-12
Grading Period 3rd Quarter
AssessmentApproximate
Time forTeachingStandards
Standard Core InstructionalMaterials
StrategicSupplementary
Materials Mat’ls District
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
Holt Chapter 7 Resource File Practice workbook Review for Mastery
workbook
Algebra tiles and othermanipulative materials
AssessmentResourcesChapter 7quizzes andtests
Algebra 1 3rd Quarter (revised 05 / 10) page 2
AssessmentApproximate
Time forTeachingStandards
Standard Core InstructionalMaterials
StrategicSupplementary
Materials Mat’ls District
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
Holt Chapter 8 Resource File Practice workbook Review for Mastery
workbook
Algebra tiles and othermanipulative materials
Teacher made worksheet
AssessmentResourcesChapter 8quizzes andtests
Algebra 1 3rd Quarter (revised 05 / 10) page 3
AssessmentApproximate
Time forTeachingStandards
Standard Core InstructionalMaterials
StrategicSupplementary
Materials Mat’ls District
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 .
Holt Algebra 1Chapter 9
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
Holt Chapter 9 Resource File Practice workbook Review for Mastery
workbook
Algebra tiles and othermanipulative materials
Graphing calculators and/orGraphing software
Matching equations ofquadratics with graphsworksheet (called GraphingQuadratic Equations)
AssessmentResourcesChapter 9
Algebra 1 3rd Quarter (revised 05 / 10) page 4
AssessmentApproximate
Time forTeachingStandards
Standard Core InstructionalMaterials
StrategicSupplementary
Materials Mat’ls District
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?
Algebra 1 3rd Quarter (revised 05 / 10) page 5
AssessmentApproximate
Time forTeachingStandards
Standard Core InstructionalMaterials
StrategicSupplementary
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
Pacing Guide 2009-2010Subject Algebra 1 (revised 6/09)
Grade Level 8-12
Grading Period 4th Quarter
AssessmentApproximate
Time forTeachingStandards
Standard Core InstructionalMaterials
StrategicSupplementary
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
Holt Algebra 1Chapter 10
{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
AssessmentResourcesChapter 10quizzes andtests
Algebra 1, 4th Quarter revised 6/09 page 2
AssessmentApproximate
Time forTeachingStandards
Standard Core InstructionalMaterials
StrategicSupplementary
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
Holt Chapter 11 Resource File Practice workbook Review for Mastery
workbook
Algebra tiles and othermanipulative materials
__________
AssessmentResourcesChapter 11quizzes andtests
May 24-26?High schoolfinals
________