Standards) CEQ: Chapter 1: Algebraic (Aligned to State ...

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:


A. Variables andexpressions

B. Order of operations

C. Integers and absolutevalue

CFA: Quiz on A - C

CSA: Chapter 1 TEST onA - E


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

123

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)

223

● How are pointsgraphed in acoordinate plane?

October



UEQ: Chapter 2Solving One-Step Equations andInequalities

Chapter 2: SolvingOne-Step Equationsand Inequalities




323

● 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


Key Vocabulary:

● CommutativeProperty

● AssociativeProperty

● Identity Property● Distributive

Property● Coefficient● Constant● Like Terms● Inverse Operations● Equation● Inequality● Solution

423

http://stuff

http://stuff

D. Solving One-StepInequalities UsingOperations

D1. Graph inequalities

D2. Use operationsto solve inequalities

November



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)


A. Rounding andEstimating

B. Solving One-StepEquations InvolvingDecimals

CFA: QUIZ on A-B

CSA: Chapter 3 Test


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

623

http://www.youtube.com/watch?v=V6pZyY6mM3g&feature=related

http://www.youtube.com/watch?v=V6pZyY6mM3g&feature=related

D2. Identify AppropriateMetric Units

December



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)


A. Divisibility andFactorsB. ExponentsC. Prime Factorization andGreatest Common FactorD. Fractions

CFA: QUIZ on A - D

E. Rational NumbersF. Exponents withMultiplication and Division




Key Vocabulary:

● Prime● Composite● Factor

723

http://stuff

http://stuff

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)

823

January



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)


A. Rational NumbersB. Fractions andDecimalsC. Operations withFractionsC1. AddC2. Subtract

E. One-Step EquationsE1. Solve equations byadding or subtractingfractions

CFA: Quiz on A - C2 and




Learning TargetExamples:


923

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

1023

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,


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




Percent of Decrease Biggest Loser You Tube

1123

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:


Key Vocabulary:

● Ratios● Unit Rates● Percent● Proportion● Markup● Discount● Commission● Scale Drawing● Similar Figure

1223

http://www.youtube.com/watch?v=FxFynAO6I6w&feature=related






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

1323

February



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


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)


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




Key Vocabulary:

● Interest● Simple Interest● Compound Interest● Interest Rate● Principal

1423

D. TransformingFormulasD1. Solve formulasD2. Use formulas

E. Simple andCompound InterestE1. Solve simple-interest E2. Solvecompound-interest

1523

March



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


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:


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)




Key Vocabulary:

● Function● Linear Equation● Linear Inequality● Slope● Y-Intercept● Slope - Intercept

Form● Constant of

Variation

1623

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

1723

two lessons)

April



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


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,


D. CongruenceE. CirclesF. TranslationsG. Symmetry andReflectionsH. Rotations

CA= Chapter 9, Lessons5-6, and 8-10 SummativeQUIZ -shortanswer (CSA)




Key Vocabulary:

● Congruence● Circumference● Radius● Diameter● Symmetry● Reflection● Rotation● Translation

1823

ReflectionsH. Rotations H. Rotations

H1. Graph rotationsH2. Recognize rotationalsymmetry

and rotations) on acoordinate plane. (7.3.2.4)

May



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


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:


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 -




Key Vocabulary:

● Area● Lateral Area● Surface Area

1923

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

2023

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)

2123

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)

2223

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)

2323

Standards) CEQ: Chapter 1: Algebraic (Aligned to State ...

Documents

Transcript of Standards) CEQ: Chapter 1: Algebraic (Aligned to State ...