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Unit Title: Decimals, Algebra, Statistics Month(s): August/SeptemberContent Standards:7.A.1.1 Students are able to write and evaluate algebraic expressions using the set of whole numbers7.A.1.2 Students are able to identify associative, commutative, distributive, and identity properties involving algebraic expressions.7.A.2.1 Students are able to write and solve one-step 1st degree equations, with one variable, using the set of integers and inequalities, with one variable, using the se of whole numbers.7.A.3.1 Students are able to identify and graph ordered pairs on a coordinate plane and inequalities on a number line.7.A.4.1 Students are able to write algebraic statements to represent patterns observed in real life situations using tables, graphs, and models.7.M.1.1 Students are able to select, use and convert appropriate units of measurement for a situation including capacity and angle measurement.7.S.1.1 Students are able to find the mean, median, mode, and range of a set of data.7.S.1.2 Students are able to display data, using frequency tables, line plots, stem-and-leaf plots, and make predictions from data displayed in a graph.Essential Questions: When should scientific notation be used? Which measure of central tendency is most representative of a specific set of data? What types of data are most appropriate to be displayed in a histogram? How do measures of central tendency change as data values are added to a setSkillsStudents Will Be Able To…Essential VocabularyAssessmentHow will you know if students have learned?Problem solve-using story problems to demonstrate problem solving strategiesUse powers and exponents to simplify expressionsEvaluate expressions using the order of operationsSubstitute and evaluate whole numbers for variablesRecognize associative, commutative, distributive and identity properties when evaluating expressionsRecognize and extend patterns of sequencesSelect, use and convert appropriate units of measurementExponentOrder of OperationsBaseOperationsVariableCoefficientExpressionConstantTermEquationNumber LineAlgebra propertiesIdentityScientific NotationAssociativeDistributive CommutativeArithmetic SequencesGeometric SequencesMetric SystemConvertMeterGramKilogramLiterMass CapacityChapter review worksheetsPre and Post testsFrayer Model (organizer)Metric system conversion sheetFoldable for propertiesStar Math test – program on computerNWEA TestingCalculate mean, median, mode and range for data Stem-and-leaf plot Create, display, and analyze Box-and-whisker plots, bar graphs, and histogramsMake predictions from data displayed in a graphIntegers and Absolute value- Identify and evaluate positive and negative numbersComparing and ordering integers – compare and order whole numbersCoordinate plane – demonstrate use of knowledge of the coordinate planeAdd, Subtract, Multiply, Divide IntegersStatisticsData frequency tableScale IntervalLine graphBar graph Histogram Scatter plotLine plot OutlierClustersGaps Stem-and-Leaf plots Box-and-Whisker PlotLower quartile(LQ) Upper Quartile (UQ) Lower Extreme (LE) Upper Extreme (UE) Interquartile rangeModeMeasures of central tendencyRange MeanMedian Chapter WorksheetsPre and Post TestingWriting to Win PromptsObservationsOral Responses7.NS.1.aUnit Title: Integers and AlgebraMonth(s): October/NovemberContent Standards:7.A.1.1 Students are able to write and evaluate algebraic expressions using the set of whole numbers7.A.1.2 Students are able to identify associative, commutative, distributive, and identity properties involving algebraic expressions.7.A.2.1 Students are able to write and solve one-step 1st degree equations, with one variable, using the set of integers and inequalities, with one variable, using the se of whole numbers.7.A.3.1 Students are able to identify and graph ordered pairs on a coordinate plane and inequalities on a number line.7.N.2.1. Students are able to add, subtract, multiply, and divide integers and positive fractions.7.N.3.1. Students are able to use various strategies to solve one- and two-step problems involving positive fractions and integers.7.A.4.1 Students are able to write algebraic statements to represent patterns observed in real life situations using tables, graphs, and models.7.S.1.2 Students are able to display data, using frequency tables, line plots, stem-and-leaf plots, and make predictions from data displayed in a graph.7.N.1.1. Students are able to represent numbers in a variety of forms by describing, ordering, and comparing integers, decimals, percents, and fractions.Essential Questions:Why is the absolute value of a number positive?How can sums, differences, products, and quotients of integers be demonstrated to be positive, zero, or negative? Why is it important to apply properties when simplifying expressions? When are variable expressions used?How can algebraic expressions and equations be written? When solving an equation, why is it important to perform identical operations on each side of equal sign?How is a solution to an inequality different than that of a linear equation? SkillsStudents Will Be Able To…Essential VocabularyAssessmentHow will you know if students have learned?Write algebraic equations.Solve addition, subtraction, and multiplication of equations.Write integers and determine absolute value of an integer.Solve two-step equations using order of operations to evaluate equationsTranslate and solve inequalities using whole numbersExpression Inverse operationsInequalities Additive propertySubtraction propertyIntegerGraphPositive integerNegative integerCoordinate planeCoordinate gridY-axisX-axisInverseOriginOrdered pairY-coordinateX-coordinateQuadrantAbsolute valueChapter review worksheets and testsFrayer Model (organizer)NWEA Test7.NS.1a; 7.NS.1b; 7.NS.1c; 7.NS.1d; 7.NS.2a, 7.NS.2bWrite expressions and equations using variables.Solve equations using the properties of Equalities.Solve equalities.Represent functions using words, equations, and graphs.Calculate the slope of a line using ordered pairs or the slope formula.ExpressionInverse operationsSolveSubtraction property of equalityAddition property of equalityCoefficientInequality Two step equationInputOutputFunction taleDomain RangeLinear equationSlopeDivision property of equality7.EE.1; 7.EE.2; 7.NS.1c; 7.NS.1d; 7.NS.2aUnit Title: Fractions Month(s): November/DecemberContent Standards:7.N.2.1. Students are able to add, subtract, multiply, and divide integers and positive fractions.7.N.3.1. Students are able to use various strategies to solve one- and two-step problems involving positive fractions and integers.7.N.1.1. Students are able to represent numbers in a variety of forms by describing, ordering, and comparing integers, decimals, percents, and fractions.7.A.2.1 Students are able to write and solve one-step 1st degree equations, with one variable, using the set of integers and inequalities, with one variable, using the se of whole numbers.7.G.1.2 Students are able to identify, describe elements of geometric figures?altitudes, midpoints, bisectors, radii, diameters, and chords.7.G.2.1 Students are able to demonstrate ways that shapes can be transformed(flips/reflections, slides/translations, and turns/rotations).7.M.1.2. Students, when given the formulas, are able to find circumference, perimeter, and area of circles, parallelograms, triangles, and trapezoids (whole number measurements).7.N.1.2. Students are able to find and use common multiples and factors of whole numbers.7.M1.1.Students are able to select, use, and convert appropriate units of measurement for a situation including capacity and angle measurement.Essential Questions:How are fractions, decimals, and percents related? SkillsStudents Will Be Able To…Essential VocabularyAssessmentHow will you know if students have learned?Find prime factorization, including variablesFind greatest common factor, including variables Simplifying fractionsfind and use multiples and factors of whole numbersConvert and use fractions and decimalsConvert and use fractions and percentsConvert and use percents and decimalsFind Least common multiples, including variablesCompare and order rational numbersManipulate fractions, percents, and decimalsPrime factorization Factor treePrime number Composite numberGCF Simplest formRepeating decimalsEquivalent Fractions Bar notation Ratio Percent MultipleLCM LCDRational numbersTerminating Decimals Factors Chapter review worksheets and testsFoldable on fractions Star math test – no calculatorsEstimating with fractions.Add and subtract fractions and mixed numbers.Multiply fractions and mixed numbers.Solve equations with fractions,Divide fractions and mixed numbers.Change customary units of measurement. Find perimeter and area using fractions.Find circumference of a circle using patible numbers LCDGCF ReciprocalMultiplicative inverse PoundOunce TonCup PintEstimateUnlike fractionsQuart GallonPerimeter AreaCircumference RadiusDiameter CenterCircle Like fractionsMixed numberImproper fractionsChapter Review WorksheetsPre and Post Testing Fraction Foldable Note takingSTAR Math Test Unit Title: Proportional Reasoning Month(s): January/FebruaryContent Standards:7.N.1.1. Students are able to represent numbers in a variety of forms by describing, ordering, and comparing integers, decimals, percents, and fractions.7.S.2.1 Students are able to calculate probability, given a sample space, with a known number of outcomes.7.A.3.2. Students are able to model and solve multi-step problems involving rates.Essential Questions:What makes quantities proportional?What is the difference between theoretical and experimental probabilities of an event?What is the fundamental counting principle and its role in determining the probability of compound events? How can proportion help solve distance problems?How can a scale factor be used in solving problems? SkillsStudents Will Be Able To…Essential VocabularyAssessmentHow will you know if students have learned?Write, identify and use ratios in simplest pare, identify and use rates in simplest form.Set up and solve proportionsConvert within fractions, decimals and percentsFind and use percents greater than 100% and less than 1%Identify percent of a numberSet up and manipulate the percent proportionEquivalent ratios RatioRateUnit rateProportionScale factorScale model Cross productPercent Percent proportionPart BaseScaleScale drawingChapter review worksheets and testsEstimate percent by using fractions and decimalsSolve problems using percent equationPredict actions of a larger group by using a sampleFind percent of increase or decreaseSolve problems involving sales tax and discountSolve problems involving simple interest ratePercent equationPercent of changePercent of increase/decrease SurveySales taxDiscountSimple interestPrincipalRandom samplepopulationIdentify simple eventsConstruct and use Tree diagramsUnderstand and use the Fundamental counting principleComprehend and use PermutationsComprehend and use CombinationsIdentify and use theoretical and experimental probabilityFind probability of independent and dependent eventsOutcome Simple eventProbability RandomComplementary event Tree diagram Sample space Permutation FactorialCombinationExperimental probabilityTheoretical probabilityFundamental counting principle Chapter review worksheets and testsNWEA TestUnit Title: Geometry & MeasurementMonth(s): March/AprilContent Standards:7.G.1.2 Students are able to identify, describe elements of geometric figures?altitudes, midpoints, bisectors, radii, diameters, and chords.7.G.2.1 Students are able to demonstrate ways that shapes can be transformed(flips/reflections, slides/translations, and turns/rotations).7.M.1.2. Students, when given the formulas, are able to find circumference, perimeter, and area of circles, parallelograms, triangles, and trapezoids (whole number measurements).7.G.1.1 Students will be able to identify, describe, and classify polygons up to ten sides. Identifying relationships among triangle, quadrilaterals, and sketching two-dimensional figures.Essential Questions:How do polygons that are similar compare to polygons that are congruent?Why can some quadrilaterals be classified in more than one category?How does a transformation of a figure affect size, shape, and position of a figure?How are volume and surface area related?How does the column of a rectangular prism change when one of the attributes is increased? SkillsStudents Will Be Able To…Essential VocabularyAssessmentHow will you know if students have learned?Classify and illustrate anglesConstruct and interpret circle graphsIdentify the classification to which a quadrilateral belongs, using deductive reasoning and inferenceIdentify and classify triangles and quadrilateralsSimilar figuresIdentify and sketch Polygons and tessellationsDemonstrate ways that shapes can be transformed – translations, reflectionsAngles DegreesVertex Acute anglesRight angles Obtuse anglesStraight angles Vertical anglesCongruent angles Supplementary angleComplementary angle Triangle Acute triangle Obtuse triangle Right triangle Congruent triangleScale IsoscelesEquilateral QuadrilateralParallelogram RectangleSquare RhombusTrapezoid Similar figuresIndirect measurement Polygons Pentagon Hexagon Heptagon Octagon Nonagon DecagonRegular polygon TransformationTessellation Reflection TranslationsLine of symmetry Chapter review worksheets and testsDakota Step Test??STAR MathFind squares of numbers and square roots of perfect squaresEstimate square rootsFind length using Pythagorean theoremCalculate areas of parallelograms, triangles, circles, and trapezoidsFind areas of complex figuresFind probability using area modelsSquarePerfect squaresSquare rootRadical signIrrational numberLegComplex figureProbabilityHypotenusePythagorean theoremBaseHeightTrapezoidPiUnit Title: Geometry & Measurement/Pre-AlgebraMonth(s): MayContent Standards:7.G.1.2 Students are able to identify, describe elements of geometric figures?altitudes, midpoints, bisectors, radii, diameters, and chords.7.G.2.1 Students are able to demonstrate ways that shapes can be transformed(flips/reflections, slides/translations, and turns/rotations).7.M.1.2. Students, when given the formulas, are able to find circumference, perimeter, and area of circles, parallelograms, triangles, and trapezoids (whole number measurements).7.G.1.1 Students will be able to identify, describe, and classify polygons up to ten sides. Identifying relationships among triangle, quadrilaterals, and sketching two-dimensional figures.Essential Questions:How are volume and surface area related?How does the column of a rectangular prism change when one of the attributes is increased? SkillsStudents Will Be Able To…Essential VocabularyAssessmentHow will you know if students have learned?Draw a 3-D figure given top, side, front viewsFind the volumes of rectangular prisms and cylindersFind the surface area of rectangular prismsFind surface area of cylindersDetermine and apply significant digits in a real-life context. SolidVolumeCylinderSurface areaCircumferencePrecisionPrecision unitsSignificant digitsChapter review worksheets and testsStar math test – no calculatorsNWEA Test ................
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