3y ago

33 Views

2 Downloads

892.61 KB

13 Pages

Transcription

Middle School Course 1Khan Academy Video CorrelationsBy SpringBoard ActivitySB ActivityKhan Academy Video(s)Unit 1: Number ConceptsActivity 1Whole Numbers and Decimals1-21-31-41-51-1 Learning Targets: Locate whole numbers and decimals on anumber line. Interpret statements of inequality ofwhole numbers and positive decimals. Order a set of positive whole numbersand decimals.Learning Targets: Add and subtract multidigit decimals. Solve real-world problems by adding andsubtracting decimals.Learning Targets: Multiply multidigit decimals. Estimate products of decimals. Solve real-world problems by multiplyingdecimal numbers.Learning Targets: Divide whole numbers by wholenumbers. Estimate quotients of whole numbers. Solve real-world problems by dividingwhole numbers.Learning Targets: Divide decimals by whole numbers. Divide whole numbers and decimals bydecimals. Estimate quotients. Solve real-world problems by dividingdecimals.Comparing and Ordering Whole Numbers and DecimalsDecimals: Comparing place valuesComparing decimals: place value differenceComparing decimals: difference in largest place valueComparing decimals: ordering from least to greatestComparing decimals: ordering from smallest to biggestAdding and Subtracting DecimalsAdding decimals: example 1Adding decimals: example 2Adding decimals: example 3Adding decimals word problemSubtracting decimals example 1Subtracting decimals example 2Adding and subtracting decimals word problemMultiplying DecimalsMultiplying decimals exampleMultiplying challenging decimalsMultiplying decimals word problemDividing Whole NumbersDividing by two digits example 2Dividing completely to get decimal answerDividing DecimalsDividing by a multi-digit decimalDividing decimals with hundredthsDividing decimals with hundredths example 3Activity 2Prime Factorization and Exponents2-1 Learning Targets: Determine whether a given wholenumber is a prime number or acomposite number.Prime FactorizationPrime factorizationPrime factorization exerciseRecognizing prime and composite numbersPrime numbers

Express a composite number as a productof prime numbers.2-2 Learning Targets: Evaluate a whole number or decimalraised to a whole number exponent. Express prime factorization usingexponents when a prime factor occursmore than once.Activity 3Greatest Common Factor and Least CommonMultiple3-1 Learning Targets: Find all the factors of a whole number. Find the greatest common factor of twowhole numbers.3-2 Learning Targets Find multiples of a whole number. Find the least common multiple of twoor more whole numbers.ExponentsIntroduction to exponentsGreatest Common FactorGreatest common factor explainedGreatest common factor exerciseLCM and GCF word problemsLeast Common MultipleLeast common multiple exerciseLeast common multiple exercise 2Least common multiple exercise: 3 numbersLCM and GCF word problemsActivity 4Fractions and Mixed NumbersMeaning of FractionsFractions in lowest terms4-1 Learning Targets: Given a proper fraction, find equivalentfractions. Expression proper fractions in simplest form. Locate proper fractions on a number line.4-2 Learning Targets: Interpret statements of inequality of properfractions in terms of a number line and interms of real-world contexts. Compare proper fractions. Order a set of proper fractions.4-3 Learning Targets: Locate mixed numbers on a number line. Convert an improper fraction to a wholenumber or mixed number. Converting a whole number or mixed numberto an improper fraction.4-4 Learning Targets: Interpret statements of inequality of mixednumbers in terms of a number line and interms of real-world contexts. Compare mixed numbers. Order a set of mixed numbers or fractions.Visualizing equivalent fractionsEquivalent fraction word problem exampleEquivalent fraction word problem example 2Equivalent fraction word problem example 3Plotting basic fractions on the number lineComparing and Ordering FractionsComparing fractionsComparing and ordering fractionsComparing fractions with greater than and less thansymbolsComparing fractions with like numerators anddenominatorsComparing fractions with different denominatorsMixed NumbersMixed numbers and improper fractionsProper and improper fractionsConverting mixed numbers to improper fractionsMixed numbers: changing to improper fractions

Mixed numbers: changing from an improper fractionComparing and Ordering Mixed NumbersComparing improper fractions and mixed numbersMixed number or improper fraction on a number lineActivity 5Multiplying Fractions and Mixed NumbersMultiplying FractionsMultiplying fractions and whole numbers5-1 Learning Targets: Multiply a whole number by a fraction lessthan 1. Multiply two fractions less than 1. Estimate the product of a fraction and awhole number.5-2 Learning Targets: Multiply mixed numbers by fractions, wholenumbers, and other mixed numbers. Estimate products involving mixed numbers.Multiplying two fractions: an explanationMultiplying two fractions: exampleMultiplying mixed numbersMultiplying Fractions: Word ProblemsMultiplying fractions word problem: movie marathonMultiplying fractions word problem: milk loveMultiplying fractions word problem: pigging out onpumpkin pieMultiplying fractions word problem: banana oat muffinrecipeMultiplying fractions word problem: laundry emergencyMultiplying fractions word problem: bike to a friendActivity 6Dividing Fractions and Mixed NumbersDividing FractionsDividing whole numbers and fractions: potpourri6-1 Learning Targets: Divide a whole number by a fraction less than1. Divide a fraction by a whole number orfraction. Solve real-world problems by dividing suchnumbers.6-2 Learning Targets: Divide a mixed number, whole number, orfraction by a mixed number. Estimate such quotients. Solve real-world problems by dividing suchnumbers.Dividing whole numbers and fractions: studyingDividing whole numbers and fractions: t-shirtsUnderstanding division of fractionsDividing fractions exampleDividing fractions example 2Reciprocal of a mixed numberUnit 2: IntegersActivity 7Introduction to Integers7-1 Learning Targets: Use integers to represent quantities in realworld contexts. Position and identify integers on a numberNegative NumbersNegative numbers introductionNegative numbers and number line examplesOpposite of a numberNegative symbol as opposite

line. Find the opposite of an integer. Find the absolute value of an integer. Classify whole numbers, integers, and positiverational numbers.7-2 Learning Targets: Compare and order integers. Interpret statements of inequality of integersin terms of a number line and of real-worldcontexts. Distinguish comparisons of absolute valuefrom statements about the order of integers.Number opposites practiceActivity 8Adding and Subtracting IntegersAdding and Subtracting IntegersLearn how to add and subtract negative numbers8-1 Learning Targets: Using models, create several representationsof a given integer. Using models, add any two integrated withabsolute value less than 10.8-2 Learning Targets: Add two or more integers. Solve real-world problems by adding integers.8-3 Learning Targets: Use models to subtract one integer withabsolute value less than 10 from another. Subtract integers. Solve real-world problems by subtractingintegers.Adding/subtracting negative numbersActivity 9The Coordinate PlaneIntegers in The Coordinate PlaneThe coordinate plane9-1 Learning Targets: Graph and identify ordered pairs of rationalnumbers. Understand and use terms such as origin,quadrant, x-axis, first coordinate, and secondcoordinate associated with graphing on thecoordinate plane.9-2 Learning Targets: Find the distance between points in thecoordinate plane with the same firstcoordinate or the same second coordinate. Solve real-world and mathematical problemsby graphing points in the coordinate planeand finding the distances between them. Find the reflection of a point over one or bothaxes.Coordinate plane: plot ordered pairsActivity 10Multiplying and Dividing IntegersOrdering negative numbersAbsolute ValueAbsolute value of integersComparing absolute valuesAdding negative numbersAdding numbers with different signsSubtracting a negative adding a positiveNegative number word problemCoordinate plane: have all the points been graphed?Coordinate plane: quadrantsCoordinate plane: graphing points and namingquadrantsCoordinate plane: word problem exerciseReflecting Points on the Coordinate PlaneCoordinate plane: reflecting pointsUnderstanding Multiplication of Negative NumbersWhy a negative times a negative is a positive

10-1 Learning Targets: Multiply integers. Solve real-world problems by multiplyingintegers.10-2 Learning Targets: Divide integers. Solve real-world problems by dividingintegers.Why a negative times a negative makes intuitive senseMultiplying IntegersMultiplying positive and negative numbersDividing positive and negative numbersMultiplying numbers with different signsUnit 3: Expressions and EquationsActivity 11ExpressionsOrder of OperationsIntroduction to order of operations11-1 Learning Targets: Use the order of operations to simplifyexpressions involving addition, subtraction,multiplication, and division. Use the order of operations to simplifyexpressions involving whole numberexponents and parentheses.11-2 Learning Targets: Use variables to represent numbers and writeexpressions to solve problems. Evaluate expressions containing variables.11-3 Learning Targets: Use variables to represent quantities. Write expressions to represent quantities.11-4 Learning Targets: Apply the properties of operations togenerate equivalent expressions. Identify when two expressions are equivalent.Order of operations exampleOrder of operations example: putting it all togetherOrder of operations: PEMDASEvaluating Algebraic ExpressionsWhat is a variable?Expression terms, factors and coefficientsEvaluating an expression exampleEvaluating an expression using substitutionEvaluating an expression with exponentsWriting ExpressionsWriting simple algebraic expressionsWriting algebraic expressionsWriting algebraic expressions example 2Properties of OperationsCommutative property for additionCommutative law of additionCommutative law of multiplicationAssociative law of additionAssociative law of multiplicationProperties of numbers 1Number properties terminology 1Identity property of 1Identity property of 1 (second example)Identity property of 0Inverse property of additionInverse property of multiplication

Properties of numbers 2Activity 12Equations12-1 Learning Targets: Write one-variable, one-step equations torepresent situations. Distinguish between expressions andequations.12-2 Learning Targets: Understand what it means to solve anequation. Use substitution to determine which valuesfrom a specified set make an equation true.Activity 13Solving Addition and Subtraction Equations13-1 Learning Targets: Write a one-step addition equation to modela situation. Solve an addition equation of the form x a b, where a, b, and x are all nonnegativeintegers.13-2 Learning Targets: Write addition equations to representsituations. Solve one-step addition equations of the formx a b, where a, b, and x are all nonnegativerational numbers. Given an equation of the form x a b,where a, b, and x are all nonnegative rationalnumbers, write a corresponding real-worldproblem.13-3 Learning Targets: Write a subtraction equation to represent asituation. Solve a subtraction equation of the form x –a b, where a, b, and x are all nonnegativerational numbers.13-4 Learning Targets: Write subtraction equations to representsituations. Solve subtraction equations by adding thesame number to both sides of the equation. Given an equation of the form x – a b,where a, b, and x are all nonnegative rationalnumbers, write a corresponding real-worldproblem.Activity 14Equation BasicsVariables, expressions, and equationsRepresenting a relationship with a simple equationTesting solutions to equationSolving Equations with Addition and SubtractionSimple equations of the form x a bAdding and subtracting from both sides of an equationSolving Equations with Multiplication and Division

Solving Multiplication and Division EquationsSimple equations of the form ax b14-1 Learning Targets: Write a one-step multiplication equation tomodel a situation. Solve a multiplication equation of the formax b, where a, b, and x are all positiveintegers.14-2 Learning Targets: Write multiplication equations to representsituations. Solve a multiplication equation of the formax b, where a, b, and x are all positiverational numbers. Given an equation of the form ax b, where a,b, and x are all positive rational numbers,write a corresponding real-world problem.14-3 Learning Targets: Write a division equation to represent asituation. Solve a division equation by multiplying bothsides of the equation by the same number.Simple equations of the form x/a bActivity 15Expressions and EquationsRepresenting Situations with InequalitiesInequalities: plotting on a number line15-1 Learning Targets: Write inequalities to represent constraints orconditions within problems. Use substitution to determine whether agiven number makes an inequality true. Graph solution sets of inequalities. Given an inequality, write a correspondingreal-world problem.15-2 Learning Targets: Write one-step inequalities to representconstraints or conditions within problems. Use substitution to determine whether agiven number makes an inequality true. Solve one-step inequalities. Graph the solution sets of one-stepinequalities.A simple inequality: plotting on a number lineActivity 16Expressions and Equations16-1 Learning Targets: Create a table representing a relationshipgiven a verbal description. Write an equation to represent a relationshipgiven a verbal description or table. Investigate rate of change. Graph equations of the form y ax.Dividing from both sides of an equationTesting solutions to inequalitiesInequality word problemsInequality word problem: one variableConstructing and solving a one-step inequalitySolving One-Step InequalitiesOne-step inequality involving additionInequalities using addition and subtractionMultiplying and dividing with inequalitiesMultiplying and dividing with inequalities exampleTables of Values and GraphingDependent and independent variables exercise: thebasicsDependent and independent variables exercise:graphing the equationDependent and independent variables exercise: expressthe graph as an equation

16-2 Learning Targets: Graph equations of the form y kx or y x b. Create a table and graph a relationship givena verbal description. Explain how one variable depends on anothervariable. Describe a relationship given a graph.Unit 4: RatiosActivity 17Understanding RatiosUnderstanding RatioIntroduction to ratios17-1 Learning Targets: Understand the concept of a ratio and useratio language. Represent ratios with concrete models,fractions, and decimals. Give examples of ratios as multiplicativecomparisons of two quantities describing thesame attribute.17-2 Learning Targets: Make tables of equivalent ratios relatingquantities. Use tables to compare ratios. Plot the pairs of values on the coordinateplane and describe the relationship.Ratios as fractionsActivity 18Reasoning with RatiosUnit ConversionsConverting pounds to ounces18-1 Learning Targets: Use ratio and rate reasoning to solveproblems. Use ratio reasoning to convert measurementunits. Apply quantitative reasoning, includingpredicting and comparing to solve real-worldproblems involving ratios and rates.18-2 Learning Targets: Use ratio and rate reasoning to solveproblems by reasoning about double numberline diagrams and equations. Use ratio reasoning to convert measurementunits. Represent mathematical and real-worldproblems involving ratios and rates usingscale factors and proportions.Converting yards to inchesActivity 19Rates and Unit RatesUnit RatesSolving unit rates problem19-1 Learning Targets:𝑎 Understand the concept of a unit rate𝑏associated with the ratio a: b with b 0.Solving unit price problemRatios in Proportional Relationships \: Solving RatioProblemsRatio word problem: boys to girlsRatio word problem: centimeters to kilometersSolving ratio problems with tables example 1Solving ratio problems with tables example 2Solving ratio problems with graphUnit Conversions: Real-World ExamplesUnit conversion word problem: roadtripUnit conversion word problem: drug dosageUnit conversion word problem: yards to inches

Use rate language in the context of a ratiorelationship. Give examples of rates at the comparison bydivision of two quantities having differentattributes.19-2 Learning Targets: Solve unit rate problems. Convert units within a measurement system,including the use of proportions and unitrates.19-3 Learning Targets: Use ratio and rate reasoning to solveproblems. Represent mathematical and real-worldproblems involving ratios and rates usingscale factors and proportions.Activity 20Using Models to Understand Percents20-1 Learning Targets: Find a percent of a quantity as a rate per100. Represent ratios and percents withconcrete models and decimals. Represent benchmark fractions andpercents. Generate equivalent forms of decimalsand percents.20-2 Learning Targets: Represent ratios and percents withfractions and decimals. Represent benchmark percents such as11%, 10%, 25%, 33 3%, and multiples ofthese values using number lines andnumbers. Use percents, fractions, and decimals toshow parts of the same whole.20-3 Learning Targets: Find a percent of a quantity as a rate per100. Generate equivalent forms of fractions,decimals, and percents using real-worldproblems. Represent percents with concretemodels, fractions, and decimals.Activity 21Applying Percents21-1 Learning Targets:Understanding PercentThe meaning of percentThe meaning of percent over 100Percentage of a whole numberPercent, Fractions, and DecimalsConverting percent to decimal and fractionConverting decimals to percentsConverting decimals to percents example 2Converting percents to decimalsConverting percents to decimals example 2Finding PercentsFinding a percentagePercents: Real-World ProblemsPercent word problem example 1

Percent word problem example 2Solve real-world problems to find thepercent, given the part and the whole.Percent word problem example 3 Use ratio and rate reasoning to solve realPercent word problem example 4world and mathematical problems .Percent word problem example 521-2 Learning Targets: Solve real-world problems to find thepart, given the whole and the percent. Use ratio and rate reasoning to solve realworld and mathematical problems.21-3 Learning Targets: Solve problems to find the whole given apart and the percent. Represent ratios and percents withfractions and decimals. Represent benchmark percents such as11%, 10%, 25%, and 33 %, and multiples of3these values using number lines andnumbers. Use equivalent percents, fractions, anddecimals to show parts of the samewhole.Unit 5: Geometric ConceptsProperties of Triangles and Side LengthActivity 22Triangles:categorization by angle or equal sides.Angles and Triangles22-1 Learning Targets: Determine when three side lengths formProperties of Triangles and Angle Measurea triangle.Triangles:using angles to categorize Use the Triangle Inequality Property. Classify triangles by side length.22-2 Learning Targets Classify angles by their measures.Triangle Inequality Theorem Classify triangles by their angles.Triangleinequalitytheorem Recognize the relationship between thelengths of sides and measures of angles ina triangle. Recognize the sum of angles in a triangle.R QuadrilateralsActivity 23QuadrilateraloverviewArea and Perimeter of Polygons23-1 Learning Targets:Quadrilateral properties Define and classify quadrilaterals basedQuadrilaterals: find the type ex

whole numbers and positive decimals. Order a set of positive whole numbers and decimals. 1-2 Learning Targets: Add and subtract multidigit decimals. Solve real-world problems by adding and subtracting decimals. 1-3 Learning Targets: Multiply multidigit decimals. Sub

Related Documents: