Grade 7 Advanced MathTeacher: LeAnn Wimmer, Dennis Kucera, Pat Mueller, Sandy Rousslang, Gabby Ross
September 2021
Content Skills Learning Targets(Aligned to StateStandards)
Assessment Resources & Technology
CEQ:● HOW ARE
NUMBER SENSEANDMATHEMATICAL OPERATIONSAPPLIED INPRE-ALGEBRA?
● HOW AREALGEBRAICEQUATIONSSOLVED ANDLINEARRELATIONSHIPS GRAPHED?
● HOW AREFORMULASUSED TOMEASURESURFACE AREAAND VOLUMEOF GEOMETRICFIGURES WITHCUSTOMARY
Chapter 1: Algebraic Expressions
A. Variable andexpressions
A1. Identify and writenumerical and variableexpressions
A2. Evaluate variableexpressions
A3. Solve problems byevaluating expressions
B. Order of operations
B1. Apply the order ofoperations
Chapter 1: AlgebraicExpressions
Learning Target #1:
I can identify, write, andevaluate numerical andvariable expressions.(7.2.3.1)
Learning Target #2:
I can perform the order ofoperations using integers.(7.2.3.3)
Learning Target #3:
I can represent, graph, andorder integers. I candetermine absolute value.(7.1.2.6, 7.1.1.5, 7.1.1.4)
Learning Target #4:
Chapter 1: AlgebraicExpressions
A. Variables andexpressions
B. Order of operations
C. Integers and absolutevalue
CFA: Quiz on A - C
CSA: Chapter 1 TEST onA - E
Chapter 1: AlgebraicExpressions
Prentice Hall Mathematics:Algebra Readiness
Unit Assessments:
S:\Middle School\7thGrade\Math Stuff
Key Vocabulary:
● absolute value● expressions
(numerical andvariable)
● evaluate● integers● inverse operations● order of operations● variable
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AND METRICSYSTEMS?
● HOWARE VARIOUSGRAPHS ANDMEASURES OFCENTRALTENDENCY USED TO MODELDATA?
UEQ: Chapter 1Algebraic Expressions
● How can I usevariables andoperations to writean expression?
● How are integersused to performoperations?
● What is themeaning of absolutevalue and how can Idetermine it'svalue?
C. Integers and absolutevalue
C1. Determine absolutevalue
C2. Represent and orderintegers
D. Operations withintegers
D1. Apply rules and usemodels to add, subtract,multiply, and divideintegers
E. Coordinate plane
E1. Identify coordinatesand quadrants
E2. Graph ordered pairs
I can identify the parts of acoordinate plane and graphordered pairs. (7.1.1.3)
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● How are pointsgraphed in acoordinate plane?
October
Content Skills Learning Targets(Aligned to StateStandards)
Assessment Resources & Technology
UEQ: Chapter 2Solving One-Step Equations andInequalities
Chapter 2: SolvingOne-Step Equationsand Inequalities
Chapter 2: SolvingOne-Step Equationsand Inequalities
Chapter 2: SolvingOne-Step Equationsand Inequalities
Chapter 2: SolvingOne-Step Equationsand Inequalities
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● How are theproperties ofnumbers(identity,inverse,distributive,associative, andcommutative)applied?
● How are equationswritten and solved?
● How areinequalitieswritten, solved, andgraphed?
A. Properties ofNumbers
A1. Identify and useproperties
A2. Apply thedistributive property tonumerical and algebraicexpressions
B. Variables, VariableExpressions, andEquations
B1. Identify parts of andsimplify variableexpressions
B2. Classify types ofequations
B3. Check equationsusing substitution
C. Solving EquationsUsing Operations
C1. Use operations tosolve equations
(7.2.2.4)
Learning Target #1:
I can identify and applythe properties of numbers(commutative,associative, identity, anddistributive) (7.2.3.1)
Learning Target #2:
I can classify and solveone-step equations usinginverse operations.(7.2.4.1)
Learning Target #3:
I can solve and graphone-step inequalitiesusing inverse operations.(7.2.2.4)
A. Properties ofNumbers
B. Variables, VariableExpressions, andEquations
CFA: QUIZ on A - B1
C. Solving EquationsUsing Operations
D. Solving One-StepInequalities UsingOperations
CFA: QUIZ on B2 - D1
CSA: Chapter 2 Test
Prentice HallMathematics: AlgebraReadiness
Unit Tests
S:\Middle School\7thGrade\Math Stuff
Key Vocabulary:
● CommutativeProperty
● AssociativeProperty
● Identity Property● Distributive
Property● Coefficient● Constant● Like Terms● Inverse Operations● Equation● Inequality● Solution
423
D. Solving One-StepInequalities UsingOperations
D1. Graph inequalities
D2. Use operationsto solve inequalities
November
Content Skills Learning Targets(Aligned to StateStandards)
Assessment Resources & Technology
523
UEQ: Chapter 3Decimals and Equations
● How can decimalsbe used to estimateand solveequations?
● How do you convertmetric units ofmeasure?
Chapter 3: Decimals andEquations
A. Rounding andEstimating
A1. Round Decimals
A2. Estimate sums,differences, products, andquotients
***Review All DecimalOperations
B. Solving One-StepEquations InvolvingDecimals
B1. Use the four operationsto solve equations
C. Formulas
C1. Substitute intoformulas
D. Using Metric System
D1. Convert Metric Units
Chapter 3: Decimals andEquations (7.1.2.1)
Learning Target #1:
I can round and estimatewith decimals. (7.1.2.1)
Learning Target #2:
I can solve one-stepequations that havedecimals in them. (7.2.4.1)
Learning Target #3:
I can substitute into andevaluate formulas. (7.2.3.2)
Learning Target #4:
I can convert metric unitsof measurement. (7.2.2.2)
Chapter 3: Decimals andEquations
A. Rounding andEstimating
B. Solving One-StepEquations InvolvingDecimals
CFA: QUIZ on A-B
CSA: Chapter 3 Test
Chapter 3: Decimals andEquations
Prentice Hall Mathematics:Algebra Readiness
Unit TestsS:\Middle School\7thGrade\Math Stuff
Joe Decimal Movie ClipsS:\Middle School\7thGrade\Math Stuff
You Tube VideoThe Rappin' MathematicianDecimalshttp://www.youtube.com/watch?v...
Key Vocabulary:
● CompatibleNumbers
● Formula
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D2. Identify AppropriateMetric Units
December
Content Skills Learning Targets(Aligned to StateStandards)
Assessment Resources & Technology
UEQ: Chapter 4 Factors, Fractions,and Exponents
● How areexpressionssimplified usingexponents?
● How can fractionsbe simplified?
● How can scientificnotation be writtenand calculated?
● How can problemsbe solved by first
Chapter 4: Factors,Fractions, and Exponents
A. Divisibility andFactorsA1. Use divisibility testsA2. Find factors
B. ExponentsB1. Use exponentsB2. Apply the Order ofOperations withexponents
C. Prime Factorizationand Greatest CommonFactorC1. Find prime
Chapter 4: Factors,Fractions,and Exponents
Learning Target #1:
I can find factors usingdivisibility tests andprime factorization.(7.1.1.5)
Learning Target #2:
I can simplify expressionswith exponents. (7.1.2.1,7.2.3.1)
Chapter 4: Factors,Fractions,and Exponents
A. Divisibility andFactorsB. ExponentsC. Prime Factorization andGreatest Common FactorD. Fractions
CFA: QUIZ on A - D
E. Rational NumbersF. Exponents withMultiplication and Division
Chapter 4: Factors,Fractions,and Exponents
Prentice HallMathematics: AlgebraReadiness
Unit TestsS:\Middle School\7thGrade\Math Stuff
Key Vocabulary:
● Prime● Composite● Factor
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solving a simplerproblem?
factorizationC2. Determine greatestcommon factor
D. FractionsD1. Calculate equivalentfractionsD2. Simplify fractions
E. Rational NumbersE1. Identify rationalnumbersE2. Evaluate fractionscontaining variables
F. Exponents withMultiplication andDivisionF1. Multiply powers withthe same baseF2. Find a power of apowerF3. Divide powers withthe same baseF4. Simplify expressionswith integer exponents
G. Scientific NotationG1. Write, calculate, andevaluate scientificnotation
Learning Target #3:
I can simplify fractionswith numbers andvariables. (7.1.1.5)
Learning Target #4:
I can identify andevaluate expressionsusing rational numbers.(7.2.3.2)
Learning Target #5:
I can write numbers instandard and scientificnotation.
CFA: QUIZ on E - F
G. Scientific Notation
CSA= Chapter 4 UnitTest
● Divisible● Exponents● Rational Number● Scientific Notation● Prime
Factorization● Greatest Common
Factor (GCF)
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January
Content Skills Learning Targets(Aligned to StateStandards)
Assessment Resources & Technology
UEQ: Chapter 5 Operations withFractions
● How are operationsperformed withfractions?
● How are fractionsused to solveequations?
● How are powers ofproducts andquotients found?
Chapter 5: Operationswith Fractions
A. Rational NumbersA1. Compare and Order
B. Fractions andDecimals B1. Convert fractions todecimalsB2. Convert decimals tofractions
C. Operations withFractionsC1. AddC2. Subtract
Chapter 5: Operationswith Fractions (7.1.2.1)
Learning Target #1:
I can convert, order, andgraph fractions anddecimals. (7.1.1.1, 7.1.1.5,7.1.1.2)
Learning Target #2:
I can add, subtract,multiply, and dividefractions. (7.1.2.1)
Chapter 5: Operationswith Fractions
A. Rational NumbersB. Fractions andDecimalsC. Operations withFractionsC1. AddC2. Subtract
E. One-Step EquationsE1. Solve equations byadding or subtractingfractions
CFA: Quiz on A - C2 and
Chapter 5: Operationswith Fractions
Prentice HallMathematics: AlgebraReadiness
Unit TestsS:\Middle School\7thGrade\Math Stuff
Learning TargetExamples:
S:\Middle School\7thGrade\Math Stuff
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E. One-Step EquationsE1. Solve equations byadding or subtractingfractions
C. Operations withFractionsC3. MultiplyC4. Divide
E. One-Step EquationsE2. Solve equations bymultiplying fractions
D. Customary Units ofMeasureD1. Convert betweencustomary unitsD2. Apply dimensionalanalysis
F. Powers of Productsand QuotientsF1. Find powers ofproductsF2. Find powers ofquotients
Learning Target #3:
I can solve equations byadding, subtracting,multiplying, and dividingfractions. (7.2.4.1)
Learning Target #4:
I can find powers ofproducts and quotients.(7.2.3.2)
E1
C. Operations withFractionsC3. MultiplyC4. Divide
E. One-Step EquationsE2. Solve equations bymultiplying fractions
D. Customary Units ofMeasureD1. Convert betweencustomary unitsD2. Apply dimensionalanalysis
CFA: Quiz on C3 - D andE2
F. Powers of Productsand Quotients
CSA: Test on Chapter 5
Key Vocabulary:
● Multiple● Least Common
Multiple (LCM)● Reciprocal● Repeating Decimal● Terminating
Decimal
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Chapter 6: Ratios,Proportions,and Percents
A. Ratios and Unit RatesA1. Determine ratiosA2. Solve unit rates
B. ProportionsB1. Solve proportionsB2. Apply proportions toproblem solving
C. Similar Figures andScale DrawingsC1. Determine unknownsin similar figures C2. Determineunknowns in scaledrawings
D. Fractions, Decimals,
Chapter 6: Ratios,Proportions,and Percents
A. Ratios and Unit RatesB. ProportionsC. Similar Figures andScale Drawings
CFA: Quiz on A - C
D. Fractions, Decimals,and PercentsE. Percents withProportions andEquationsF. Percent of Change
Chapter 6: Ratios,Proportions,and Percents
Prentice HallMathematics: AlgebraReadiness
Unit TestsS:\Middle School\7thGrade\Math Stuff
Percent of Decrease Biggest Loser You Tube
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UEQ: Chapter 6
Ratios,Proportions, and Percents
How are percentsused and found?
and PercentsD1. Write percents asfractions and decimalsD2. Write decimals asfractions and percentsD3. Order rationalnumbers
E. Percents withProportions andEquationsE1. Find parts, wholes,and percents withproportionsE2. Find parts, wholes,and percents withequations
F. Percent of ChangeF1. Determine percent ofincreaseF2. Determine percent ofdecrease
G. Markup and DiscountG1. Calculate markupG2. Calculate discount
Chapter 6: Ratios,Proportions, and Percents
Learning Target #1:
I can write and simplifyratios and rates. (7.2.2.1)
Learning Target #2:
I can write and solveproportions like these:
(7.1.2.5)
Learning Target #3:
I can find probability andodds. For example, I cansolve problems like these:What is the probability ofrolling a 2 on a numbercube (die)?What are the odds infavor of rolling a numberless than 3 on a numbercube (die)?
Learning Target #4:
I can convert betweenand order fractions,
CFA: Quiz on D - F
G. Markup and Discount
CSA: Chapter 6 Test
cliphttp://www.youtube.com/watch?v=FxFynAO6I6w&feature=related
http://www.youtube.com/watch?v=LdyK9121NQo&feature=related
Learning TargetExamples:
S:\Middle School\7thGrade\Math Stuff
Key Vocabulary:
● Ratios● Unit Rates● Percent● Proportion● Markup● Discount● Commission● Scale Drawing● Similar Figure
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decimals, and percents.(7.2.2.4)
Learning Target #4:
I can solve equationsrepresenting proportionalrelationships. (7.2.4.2)
Learning Target #5:
I can solve percentproblems in variouscontexts (7.2.2.2)
Learning Target #6:
I can use properties ofsimilar figures to findside lengths of similarfigures. (7.3.2.1, 7.2.2.3,7.3.2.2)
● Percent of Change
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February
Content Skills Learning Targets(Aligned to StateStandards)
Assessment Resources & Technology
UEQ: Chapter 7 Solving Equationsand Inequalities
● How are multi-stepequations writtenand solved?
How are two-stepinequalities written andsolved?
How are simple andcompound interestcalculated?
Chapter 7: SolvingEquationsand Inequalities
A. Multi-Step EquationsA1. Use properties tosolve multi-step equationsA2. Combine like termsA3. Apply thedistributive propertyA4. Solve multi-stepequations with fractionsand decimalsA5. Apply the writingequations problemsolving strategy
B. Equations withVariables on Both SidesB1. Solve equationsB2. Use equations
C. Two-Step InequalitiesC1. Solve inequalities C2. Use inequalities
Chapter 7: SolvingEquationsand Inequalities
Learning Target #1:
I can write and solvemulti-step equations likethese:4(m–7) + 5m = 6m + 2(7.2.4.1) Learning Target #2:
I can write and solvetwo-step inequalities likethese:6a + 3 > 27 (7.2.2.4)Learning Target #3:
I can calculate simple andcompound interest.(7.1.2.3, .7.1.2.4)
Chapter 7: SolvingEquationsand Inequalities
A. Multi-Step Equations
CFA: Quiz on A
B. Equations withVariables on Both SidesC. Two-Step InequalitiesD. TransformingFormulas
CFA: Quiz on B - D
E. Simple andCompound Interest
CSA: Chapter 7 Test
Chapter 7: SolvingEquationsand Inequalities
Prentice HallMathematics: AlgebraReadiness
Unit TestsS:\Middle School\7thGrade\Math Stuff
Key Vocabulary:
● Interest● Simple Interest● Compound Interest● Interest Rate● Principal
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D. TransformingFormulasD1. Solve formulasD2. Use formulas
E. Simple andCompound InterestE1. Solve simple-interest E2. Solvecompound-interest
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March
Content Skills Learning Targets(Aligned to StateStandards)
Assessment Resources & Technology
UEQ: Chapter 8 Linear Functions and Graphing
● When is a relationa function?
● How are linearequations andinequalities solved?
● How are systems oflinear equationsand inequalitiessolved?
● How is a problemsolved bygraphing?
A. Relations andFunctionsB. Equations with TwoVariablesC. Slope and Y-InterceptD. Rules for LinearFunctionsE. Scatter Plots
Chapter 8 LinearFunctions and Graphing
Skip Lesson 8-1(Incorporate the VerticalLine Test from this lessonin Lessons 2 and 3)
B. Equations with TwoVariablesB1. Solve two-variableequationsB2. Graph two-variableequations
C. Slope and Y-InterceptC1. Determine slope andy-interceptC2. Use slope andy-intercept to graphlinear equations
D. Rules for LinearFunctions(SKIP Example 1 from
Chapter 8 LinearFunctions and Graphing
Learning Target #1:
I can write, graph, andidentify the parts of linearequations like these:
y = 2x – 3 or y = –2x+ 7 (7.2.2.1)
Learning Target #2:
I can use theslope-intercept form oflinearequations/graphs/tables.
y = mx + b (7.2.2.1)
Learning Target #3:
Chapter 8 LinearFunctions and Graphing
A. Vertical Line TestB. Equations with TwoVariablesC. Slope and Y-InterceptD. Rules for LinearFunctions
A-D. Summative Quiz #1- short answer (CSA)
F. Systems of LinearEquations
G. Systems of LinearInequalities
F - G. Summative Quiz #2- short answer (CSA)
Chapter 8 LinearFunctions and Graphing
Prentice HallMathematics: AlgebraReadiness
Unit TestsS:\Middle School\7thGrade\Math Stuff
Key Vocabulary:
● Function● Linear Equation● Linear Inequality● Slope● Y-Intercept● Slope - Intercept
Form● Constant of
Variation
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F. Systems ofLinear EquationsG. Systems of LinearInequalities
Lesson 8-4 for RegularClasses)D2. Write rules fromtables and graphs
F. Systems of LinearEquationsF1. Graph systems oflinear equationsF2. Use systems of linearequations
G. Systems of LinearInequalitiesG1. Graph linearinequalitiesG2. Graph systems oflinear inequalities
***After Chapter 8: TeachLesson 12-1 onHistograms and Completethe Stem and Leaf PlotActivity Lab from page646 before moving on toChapter 9
(Only formativeassessments used for these
I can solve and graphsystems of linear equationslike these:
y = x + 5; y= –2x + 8
(7.2.2.1)
Learning Target #4:
I can solve and graphsystems of linearinequalities like these:
y < –x + 1; y > 2x – 5
Learning Target #5:
I can identify if a linearrelationship is proportionalin a graph/table/equation.
(7.2.1.1, .7.2.1.2)
● Direct Variation
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two lessons)
April
Content Skills Learning Targets(Aligned to StateStandards)
Assessment Resources & Technology
UEQ: Chapter 9: Spatial Thinking
● How are propertiesof figures used tosolve problems?
● How are geometricfigures classified?
● How can drawing adiagram help tosolve a problem?
A. Points, Lines, andPlanesB. Angles and ParallelLinesC. PolygonsD. CongruenceE. CirclesF. TranslationsG. Symmetry and
Chapter 9: SpatialThinking
D. CongruenceD1. Identify correspondingpartsD2. Identify congruenttriangles
E. Circles E1. Find circumferenceE2. Construct circlegraphs
F. TranslationsF1. Graph translationsF2. Describe translations
G. Symmetry andReflectionsG1. Identify lines ofsymmetryG2. Graph reflections
Chapter 9: SpatialThinking
Learning Target #1:
I can identify the congruentparts of triangles. (7.3.2.1)
Learning Target #2:
I can find thecircumference of a circle.(7.3.1.1)
I can make a circle graphusing central angles.(7.4.2.1)
Learning Target #3:
I can graph transformations(translations, reflections,
Chapter 9: SpatialThinking
D. CongruenceE. CirclesF. TranslationsG. Symmetry andReflectionsH. Rotations
CA= Chapter 9, Lessons5-6, and 8-10 SummativeQUIZ -shortanswer (CSA)
Chapter 9: SpatialThinking
Prentice HallMathematics: AlgebraReadiness
Unit TestsS:\Middle School\7thGrade\Math Stuff
Key Vocabulary:
● Congruence● Circumference● Radius● Diameter● Symmetry● Reflection● Rotation● Translation
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ReflectionsH. Rotations H. Rotations
H1. Graph rotationsH2. Recognize rotationalsymmetry
and rotations) on acoordinate plane. (7.3.2.4)
May
Content Skills Learning Targets(Aligned to StateStandards)
Assessment Resources & Technology
UEQ: Chapter 10 Area and Volume
● How is the volumeof 3-D figurescalculated?
A. Area: ParallelogramsB. Area: Triangles andTrapezoidsC. Area: Circles
D. Surface Area: Prismsand CylindersE. Volume: Prisms andCylinders
Chapter 10: Area andVolume
A. Area: ParallelogramsA1. Calculate area ofrectanglesA2. Calculate area ofparallelograms
B. Area: Triangles andTrapezoidsB1. Determine area oftrianglesB2. Determine area oftrapezoids
C. Area: CirclesC1. Find area of circles
Chapter 10: Area andVolume
Learning Target #1:
I can find the area ofparallelograms, triangles,trapezoids and circles.(7.3.2.2)
Learning Target #2:
I can find the surface areaof prisms and cylinders.(7.3.1.2)
Learning Target #3:
Chapter 10: Area andVolume
A. Area: ParallelogramsB. Area: Triangles andTrapezoidsC. Area: Circles
A-C. Summative Quiz #1 -short answer (CSA)
D. Surface Area: Prismsand Cylinders
E. Volume: Prisms andCylinders
D-E. Summative Quiz #2 -
Chapter 10: Area andVolume
Prentice HallMathematics: AlgebraReadiness
Unit TestsS:\Middle School\7thGrade\Math Stuff
Key Vocabulary:
● Area● Lateral Area● Surface Area
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C2. Find area of irregularfigures
D. Surface Area: Prismsand Cylinders D1. Calculate surface areaof prismsD2. Calculate surface areaof cylinders
E. Volume: Prisms andCylindersE1. Find volume of prismsE2. Find volume ofcylinders
A. Square Roots andIrrational Numbers
I can find the volume ofprisms and cylinders.(7.3.1.2)
Learning Target #4:
I can find the area ofcircles and sectors.(7.3.1.1)
Learning Target #1:
short answer (CSA)
A. Square Roots andIrrational Numbers
● Volume● Cylinder● Prism
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UEQ: Chapter 11 Right Triangles inAlgebra
How is the square root ofnumbers determined?How are the missingmeasures of righttriangles calculated?How are the distance andmidpoint formulasapplied?
A. Square Roots andIrrational NumbersB. Pythagorean TheoremC. Distance andMidpoint FormulasD. Special RightTrianglesE. Sine, Cosine, andTangent RatiosF. Angles of Elevationand Depression
A1. Find square rootsA2. Classify realnumbers
B. Pythagorean TheoremB1. Apply thePythagorean TheoremB2. Identify righttriangles
C. Distance andMidpoint FormulasC1. Find distanceC2. Find midpoint
D. Special RightTriangles D1. Use 45-45-90trianglesD2. Use 30-60-90triangles
E. Sine, Cosine, andTangent RatiosE1. Find ratios in righttrianglesE2. Apply rations tosolve problems
I can find square roots(7.1.1.1)
Learning Target #2: I candetermine the distancebetween rational andirrational numbers.(7.1.1.1)
B. Pythagorean Theorem C. Distance and MidpointFormulasA-C. Checkpoint Quiz #1- short answer (CFA)
D. Special RightTrianglesE. Sine, Cosine, andTangent RatiosD-E. Checkpoint Quiz #2- short answer (CFA)
F. Angles of Elevationand Depression
CA= Chapter 11 Unit Test- short answer (CSA)
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UEQ: Selected Lessonsfrom Chapter 12
F. Angles of Elevationand DepressionF1. Use sine, cosine, andtangent to determineangle of elevationF2. Use sine, cosine, andtangent to determineangle of depression
A. Frequency Tables,Line Plots, andHistogramsA1. Use frequency tablesand line plotsA2. Display data usinghistograms
B. Counting Outcomesand TheoreticalProbabilityB1. Count possible
Learning Target #1: I candisplay data in frequencytables, line plots,histograms, stem-and-leafplots. (7.4.1.1)
Learning Target #2:
I can calculateprobability. (7.4.1.1)
A. Frequency Tables,Line Plots, andHistogramsB. Counting Outcomesand TheoreticalProbabilityC. ExperimentalProbabilityA-C. Quiz , 10 questionsshort answer (CFA)
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Data Analysis and Probability
How are graphs used torepresent data?How are theoretical andexperimental probabilitydetermined?
A. Frequency Tables,Line Plots, andHistogramsB. Counting Outcomesand TheoreticalProbabilityC. ExperimentalProbability
choicesB2. Determineprobability by countingoutcomes
C. ExperimentalProbabilityC1. Calculateexperimental probabilityC2. Simulate an event
Learning Target #3:
I can calculate mean,median, mode, range, andoutlier. (7.4.1.2)
CA=Chapter 12 Unit Test,25 questions shortanswer (CSA)
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