SEVENTH GRADE “Pre Algebra” MATHEMATICS Domain/ Common .

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Medford Lakes School DistrictMath Curriculum Guide – Pre Algebra Grade 7Written by: Kathy O’BrienText/Program: “Big Ideas”Chapter Lessons15SEVENTH GRADE “Pre-Algebra” MATHEMATICSChapter Content:Domain/ Common Core StateIntegersStandardsThe Number System/7.NS.1a-d,7.NS.2a-d, 7.NS.3Lessons: Essential Questions1. Integers and Absolute Value: How canyou use integers to represent thevelocity and the speed of an object?2. Adding Integers:Is the sum of two integers positive,negative, or zero? How can you tell?3. Subtracting Integers: How are addingintegers and subtracting integersrelated?4. Multiplying Integers:Is the product of two integerspositive, negative, or zero? How canyou tell?5. Dividing Integers:Is the quotient of two integerspositive, negative, or zero? How canyou tell?Resources, Materials, & GamesResources Big Ideas Student Text Big Ideas Record & Practice Journal Big Ideas Resources by Chapter andPerformance Tasks Online accountSuggested days for topic:155 activities, 5 lessons, ChapterOpener, Quiz, Review, TestAssessmentsSummativeWhat You Learned BeforeChapter TestMaterials & Manipulatives Integer Counters Handkerchief Index Cards Paper Clips Pencils Yarn, String Two 3-inch Strips of Different Colored PaperQuizzesDifferentiation Opportunities Skills Review and Basic Skills Handbook Lesson Tutorials (online) Intensive Intervention Activities (online) Differentiating the Lesson (online) Enrichment and ExtensionDiscovery Activity Observationand “What’s Your Answer?”ResponsesOnline Resources Dynamic Classroom (technology) Game ClosetLesson Summary ResponsesStandards AssessmentFormativeGuided Practice ObservationHomeworkBOE Approved 8/19/15

Medford Lakes School DistrictMath Curriculum Guide – Pre Algebra Grade 7Written by: Kathy O’BrienText/Program: “Big Ideas” Chapter Lessons15Check It Out: Lesson Tutorials atwww.bigideasmath.comSEVENTH GRADE “Pre-Algebra” MATHEMATICSChapter Content:Domain/ Common Core StateIntegersStandardsThe Number System/7.NS.1a-d,7.NS.2a-d, 7.NS.3Lessons: ObjectivesKey VocabularySuggested days for topic:155 activities, 5 lessons, ChapterOpener, Quiz, Review, TestAdditional Online ResourcesBOE Approved 8/19/15

Medford Lakes School DistrictMath Curriculum Guide – Pre Algebra Grade 7Written by: Kathy O’BrienText/Program: “Big Ideas”1. Integers and Absolute Value: Studentswill define the absolute value of anumber. Students will find absolutevalues of numbers.integerabsolute valueoppositesadditive inverse2. Adding Integers: Students will addintegers without the use of a visual orconcrete model. Students will showthat the sum of a number and itsopposite is zero.3. Subtracting Integers: Students willsubtract integers without the use of avisual or concrete model.4. Multiplying Integers: Students willfind products of integers with thesame sign and the products ofintegers with different signs.5. Dividing Integers: Students will findquotients of integers with the samesign and the quotients of integerswith different signs.Chapter Lessons24SEVENTH GRADE “Pre-Algebra” MATHEMATICSChapter Content:Domain/ Common Core StateRational NumbersStandardsThe Giant Cookie Dilemma, TheCost of Being Late and Using anElevator to Evaluate SignedNumber Expressions at:http://illuminations.nctm.org/Cereal essment-tasksOnline math skill practice rade-7A library of interactive, webbased virtual manipulatives ed days for topic:12BOE Approved 8/19/15

Medford Lakes School DistrictMath Curriculum Guide – Pre Algebra Grade 7Written by: Kathy O’BrienText/Program: “Big Ideas”Number System7.NS.1a-d, 7.NS.2a-d, 7.NS.3Lessons: Essential Questions1. Rational Numbers:How can you use a number line toorder rational numbers?2. Adding Rational Numbers:How can you use what you knowabout adding integers to add rationalnumbers?3. Subtracting Rational Numbers:How can you use what you knowabout subtracting integers tosubtract rational numbers?4. Multiplying and Dividing RationalNumbers:Why is the product of two negativerational numbers positive?4 activities, 4 lessons, ChapterOpener, Quiz, Review, TestResources, Materials, & GamesResources Big Ideas Student Text Big Ideas Record & Practice Journal Big Ideas Resources by Chapter andPerformance Tasks Online AccountMaterials & Manipulatives Index Cards Markers Masking Tape Pieces of Paper Glass Bowl Questions from Chapter Toy BoatDifferentiation Opportunities Skills Review and Basic Skills Handbook Lesson Tutorials (online) Intensive Intervention Activities (online) Differentiating the Lesson (online) Enrichment and ExtensionOnline Resources Dynamic Classroom (technology) Game Closet Check It Out: Lesson Tutorials atwww.bigideasmath.comAssessmentsSummativeWhat You Learned BeforeChapter TestQuizzesStandards AssessmentFormativeDiscovery Activity Observationand “What’s Your Answer?”ResponsesGuided Practice ObservationLesson Summary ResponsesHomeworkBOE Approved 8/19/15

Medford Lakes School DistrictMath Curriculum Guide – Pre Algebra Grade 7Written by: Kathy O’BrienText/Program: “Big Ideas”Chapter Lessons24SEVENTH GRADE “Pre-Algebra” MATHEMATICSChapter Content:Domain/ Common Core StateRational NumbersStandardsNumber System7.NS.1a-d, 7.NS.2a-d, 7.NS.3Lessons: Objectives1. Rational Numbers: Students willunderstand that a rational number isan integer divided by an integer.Students will convert rationalnumbers to decimals, write decimalsas fractions and order rationalnumbers.2. Adding Rational Numbers:Students will add rational numbers.3. Subtracting Rational Numbers:Students will subtract rationalnumbers.4. Multiplying and Dividing RationalNumbers: Students will multiply anddivide rational numbers.Key Vocabularyrational numberterminating decimalrepeating decimalSuggested days for topic:124 activities, 4 lessons, ChapterOpener, Quiz, Review, TestAdditional Online ResourcesThe Giant Cookie Dilemma, TheCost of Being Late and Using anElevator to Evaluate SignedNumber Expressions at:http://illuminations.nctm.org/Cereal essment-tasksOnline math skill practice rade-7A library of interactive, webbased virtual manipulatives at:http://nlvm.usu.edu/en/nav/vlibrary.htmlBOE Approved 8/19/15

Medford Lakes School DistrictMath Curriculum Guide – Pre Algebra Grade 7Written by: Kathy O’BrienText/Program: “Big Ideas”Chapter Lessons35SEVENTH GRADE “Pre-Algebra” MATHEMATICSChapter Content:Domain/ Common Core StateExpressions and EquationsStandardsExpressions and Equations/7.EE.1,7.EE.2, 7.EE.4aLessons: Essential QuestionsResources, Materials, & GamesSuggested days for topic:155 activities, 5 lessons, 1extension activity, ChapterOpener, Quiz, Review, TestAssessmentsBOE Approved 8/19/15

Medford Lakes School DistrictMath Curriculum Guide – Pre Algebra Grade 7Written by: Kathy O’BrienText/Program: “Big Ideas”1. Algebraic Expressions: How can yousimplify an algebraic expression?2. Adding and Subtracting LinearExpressions:How can you use algebra tiles to addor subtract algebraic expressions?Extension: Factoring ExpressionsResources Big Ideas Student Text Big Ideas Record & Practice Journal Big Ideas Resources by Chapter and PerformanceTasks Online AccountSummativeMaterials & Manipulatives Algebra Tiles Envelope Index Cards Pencils (2) Color-coded Spinner with Operations SymbolsQuizzes3. Solving Equations Using Addition orSubtraction: How can you use algebraDifferentiation Opportunitiestiles to solve addition or subtraction Skills Review and Basic Skills Handbookequations?4. Solving Equations UsingMultiplication or Division:How can you use multiplication ordivision to solve equations?5. Solving Two-Step Equations:How can you use algebra tiles tosolve a two-step equation? Lesson Tutorials (online)Intensive Intervention Activities (online)Differentiating the Lesson (online)Enrichment and ExtensionOnline Resources Dynamic Classroom (technology) Game Closet Check It Out: Lesson Tutorials atwww.bigideasmath.comWhat You Learned BeforeChapter TestStandards AssessmentFormativeDiscovery ActivityObservation and “What’sYour Answer?” ResponsesGuided Practice ObservationLesson Summary ResponsesHomeworkBOE Approved 8/19/15

Medford Lakes School DistrictMath Curriculum Guide – Pre Algebra Grade 7Written by: Kathy O’BrienText/Program: “Big Ideas”Chapter Lessons35SEVENTH GRADE “Pre-Algebra” MATHEMATICSChapter Content:Domain/ Common Core StateExpressions and EquationsStandardsExpressions and Equations/7.EE.1,7.EE.2, 7.EE.4aLessons: Objectives1. Algebraic Expressions: Students willsimplify algebraic expressions bycombining like terms.2. Adding and Subtracting LinearExpressions: Students will use ahorizontal or vertical format to add andsubtract linear expressions. Studentswill factor linear expressions.Key Vocabularylike termssimplest formlinear expressionfactoring an expressionequivalent equationsSuggested days for topic:155 activities, 5 lessons, 1extension activity, ChapterOpener, Quiz, Review, TestAdditional OnlineResourcesOne Grain of Rice at:http://illuminations.nctm.org/Toy Train essment-tasks3. Solving Equations Using Addition orSubtraction: Students will writeequations and use the addition andsubtraction properties of equality tosolve equations.Online math skill practice rade74. Solving Equations Using Multiplication orDivision: Students will write equationsand use the multiplication and divisionproperties of equality to solve equations.A library of interactive, webbased virtual y.htmlBOE Approved 8/19/15

Medford Lakes School DistrictMath Curriculum Guide – Pre Algebra Grade 7Written by: Kathy O’BrienText/Program: “Big Ideas”5. Solving Two-Step Equations: Studentswill solve two-step equations by undoingoperations in reverse order.Chapter Lessons44SEVENTH GRADE “Pre-Algebra” MATHEMATICSChapter Content:Domain/ Common Core StateInequalitiesStandardsExpressions and Equations 7.EE.4bSuggested days for topic:124 activities, 4 lessons,Chapter Opener, Quiz,Review, TestBOE Approved 8/19/15

Medford Lakes School DistrictMath Curriculum Guide – Pre Algebra Grade 7Written by: Kathy O’BrienText/Program: “Big Ideas”Lessons: Essential Questions1. Writing and Graphing Inequalities:How can you use a number line torepresent solutions of an inequality?2. Solving Inequalities Using Addition orSubtraction: How can you useaddition or subtraction to solve aninequality?3. Solving Inequalities UsingMultiplication or Division: How canyou use multiplication or division tosolve an inequality?4. Solving Two-Step Equations: How canyou use addition, subtraction,multiplication and division to solvetwo step inequalities?Resources, Materials, & GamesResources Big Ideas Student Text Big Ideas Record & Practice Journal Big Ideas Resources by Chapter andPerformance Tasks Online AccountMaterials & Manipulatives Pre-made Number Lines Per Pair of Students(10) Index Cards Tangram PiecesDifferentiation Opportunities Skills Review and Basic Skills Handbook Lesson Tutorials (online) Intensive Intervention Activities (online) Differentiating the Lesson (online) Enrichment and ExtensionOnline Resources Dynamic Classroom (technology) Game Closet Check It Out: Lesson Tutorials atwww.bigideasmath.comAssessmentsSummativeWhat You Learned BeforeChapter TestQuizzesStandards AssessmentFormativeDiscovery ActivityObservation and “What’sYour Answer?” ResponsesGuided Practice ObservationLesson Summary ResponsesHomeworkSEVENTH GRADE “Pre-Algebra” MATHEMATICSBOE Approved 8/19/15

Medford Lakes School DistrictMath Curriculum Guide – Pre Algebra Grade 7Written by: Kathy O’BrienText/Program: “Big Ideas”Chapter Lessons44Chapter Content:InequalitiesLessons: Objectives1. Writing and Graphing Inequalities:Students will write and graphinequalities. Students will determinewhether a value is a solution of aninequality.2. Solving Inequalities Using Addition orSubtraction: Students will use theaddition and subtraction propertiesof inequality to solve inequalities.3. Solving Inequalities UsingMultiplication or Division: Studentswill use the multiplication anddivision properties of inequality tosolve inequalities.Domain/ Common Core StateStandardsExpressions and Equations 7.EE.4bKey Vocabularyinequalitysolution of an inequalitysolution setgraph of an inequalitySuggested days for topic:124 activities, 4 lessons,Chapter Opener, Quiz,Review, TestAdditional OnlineResourcesOnline math skill practice rade7A library of interactive, webbased virtual y.html4. Solving Two-Step Equations: Studentswill solve and graph two-stepinequalities.BOE Approved 8/19/15

Medford Lakes School DistrictMath Curriculum Guide – Pre Algebra Grade 7Written by: Kathy O’BrienText/Program: “Big Ideas”Chapter Lessons56SEVENTH GRADE “Pre-Algebra” MATHEMATICSChapter Content:Domain/ Common Core StateRatios and ProportionsStandardsRatios and Proportional Relationships7.RP.1, 7.RP.2a-d, 7.RP.3Lessons: Essential QuestionsResources, Materials, & GamesSuggested days for topic:176 activities, 6 lessons, 1extension activity, ChapterOpener, Quiz, Review, TestAssessmentsBOE Approved 8/19/15

Medford Lakes School DistrictMath Curriculum Guide – Pre Algebra Grade 7Written by: Kathy O’BrienText/Program: “Big Ideas”1. Ratios and Rates: How do rates help youdescribe real-life problems?2. Proportions:How can proportions help you decidewhen things are “fair”?Extension: Graphing ProportionalRelationships3. Writing Proportions:How can you write a proportion thatsolves a problem in real life?4. Solving Proportions:How can you use ratio tables and crossproducts to solve proportions?5. Slope:How can you compare two ratesgraphically?6. Direct Variation: How can you use agraph to show the relationship betweentwo quantities that vary directly? Howcan you use an equation?Resources Big Ideas Student Text Big Ideas Record & Practice Journal Big Ideas Resources by Chapter and PerformanceTasks Online AccountSummativeMaterials & Manipulatives Index Cards, Baseball bat Calculators Containers Filled with Water (2) Decks of Cards, Food Coloring Grid Paper, Measuring Tape Square Tiles, Stopwatch String, Wind-up ToyQuizzesDifferentiation Opportunities Skills Review and Basic Skills Handbook Lesson Tutorials (online) Intensive Intervention Activities (online) Differentiating the Lesson (online) Enrichment and ExtensionDiscovery ActivityObservation and “What’sYour Answer?” ResponsesOnline Resources Dynamic Classroom (technology) Game Closet Check It Out: Lesson Tutorials atwww.bigideasmath.comLesson Summary ResponsesWhat You Learned BeforeChapter TestStandards AssessmentFormativeGuided Practice ObservationHomeworkSEVENTH GRADE “Pre-Algebra” MATHEMATICSBOE Approved 8/19/15

Medford Lakes School DistrictMath Curriculum Guide – Pre Algebra Grade 7Written by: Kathy O’BrienText/Program: “Big Ideas”Chapter Lessons56Chapter Content:Ratios and ProportionsLessons: Objectives1.2.Ratios and Rates: Students will find ratios,rates and unit rates from words, tables andgraphs.Proportions: Students will use equivalentratios and the Cross Products property todetermine whether two ratios form aproportion. Students will graph andinterpret graphs of proportionalrelationships.3.Writing Proportions: Students will write anduse mental math to solve proportions.4.Solving Proportions: Students will solveproportions using the Cross Productsproperty. Students will use a point on agraph to write and solve proportions.5.Slope: Students will determine the slope aline from a graph. Students will interpret theslopes of lines as rates.6. Direct Variation: Students will identify directvariation from graphs or equations.Students will use direct variation models tosolve problems.Domain/ Common Core StateStandardsRatios and Proportional Relationships7.RP.1, 7.RP.2a-d, 7.RP.3Key Vocabularyratiorateunit ratecomplex fractionproportionproportionalcross productsslopedirect variationconstant of proportionalitySuggested days for topic:176 activities, 6 lessons, 1extension activity, ChapterOpener, Quiz, Review, TestAdditional OnlineResourcesSpace Shuttle, How Much is aMillion, Now and Then andThe Cost of Being Late at:http://illuminations.nctm.org/Cereal and Cat Food essment-tasksOnline math skill practice rade7A library of interactive, webbased virtual y.htmlBOE Approved 8/19/15

Medford Lakes School DistrictMath Curriculum Guide – Pre Algebra Grade 7Written by: Kathy O’BrienText/Program: “Big Ideas”Chapter Lessons67SEVENTH GRADE “Pre-Algebra” MATHEMATICSChapter Content:Domain/ Common Core StatePercentsStandardsRatios and ProportionalRelationships/7.RP.3Expressions and Equations/7.EE.3Lessons: Essential QuestionsResources, Materials, & GamesSuggested days for topic:187 activities, 7 lessons,Chapter Opener, Quiz,Review, TestAssessmentsBOE Approved 8/19/15

Medford Lakes School DistrictMath Curriculum Guide – Pre Algebra Grade 7Written by: Kathy O’BrienText/Program: “Big Ideas”1.2.Percents and Decimals: How does the decimalpoint move when you rewrite a percent as adecimal and when you rewrite a decimal as apercent?Comparing and Ordering Fractions, Decimals, andPercents:How can you order numbers that are written asfractions, decimals, and percents?3.The Percent Proportion: How can you use modelsto estimate percent questions?4.The Percent Equation:How can you use an equivalent form of thepercent proportion to solve a percent problem?5.Percents of Increase and Decrease:What is a percent of decrease? What is a percentof increase?6.Discounts and Markups:How can you find discounts and selling prices?7.Simple Interest:How can you find the amount of simple interestearned on a savings account? How can you findthe amount of interest owed on a loan?Chapter Lessons67Resources Big Ideas Student Text Big Ideas Record & Practice Journal Big Ideas Resources by Chapter and PerformanceTasks Online AccountSummativeMaterials & Manipulatives Index Cards, Calculator Deck of Cards Egg Carton Newspaper WhiteboardQuizzesDifferentiation Opportunities Skills Review and Basic Skills Handbook Lesson Tutorials (online) Intensive Intervention Activities (online) Differentiating the Lesson (online) Enrichment and ExtensionOnline Resources Dynamic Classroom (technology) Game Closet Check It Out: Lesson Tutorials atwww.bigideasmath.comSEVENTH GRADE “Pre-Algebra” MATHEMATICSChapter Content:Domain/ Common Core StatePercentsStandardsRatios and ProportionalRelationships/7.RP.3Expressions and Equations/7.EE.3What You Learned BeforeChapter TestStandards AssessmentFormativeDiscovery ActivityObservation and “What’sYour Answer?” ResponsesGuided Practice ObservationLesson Summary ResponsesHomeworkSuggested days for topic:187 activities, 7 lessons,Chapter Opener, Quiz,Review, TestBOE Approved 8/19/15

Medford Lakes School DistrictMath Curriculum Guide – Pre Algebra Grade 7Written by: Kathy O’BrienText/Program: “Big Ideas”Lessons: Objectives1.2.3.Key VocabularyPercents and Decimals: Students will convertdecimals to percents and percents todecimals.Comparing and Ordering Fractions, Decimals,and Percents: Students will compare andorder percents, decimals and fractions.The Percent Proportion: Students will usethe percent proportion to solve three typesof percent problems.4.The Percent Equation: Students will use thepercent equation to solve three types ofpercent problems.5.Percents of Increase and Decrease:Students will use the percent of changeformula to find percents of i

1. Rational Numbers: Students will understand that a rational number is an integer divided by an integer. Students will convert rational numbers to decimals, write decimals as fractions and order rational numbers. 2. Adding Rational Numbers: Students will add rational numbers. 3. Subtracting Rational Numbers: Students will subtract rational .

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