Study Resources for the Praxis® Elementary Education ...



Study Resources for the Praxis? Elementary Education: Mathematics Test (5003)The links below allow you to connect content topics on this Praxis? test directly to free Khan Academy study resources.Praxis Elementary Education: Mathematics (5003) Content TopicsStudy ResourcesI. Numbers and OperationsLessonUnderstands the place value systemWrites numbers using base-10 numerals, number names, and expanded formPraxis Math: Naming and ordering numbersPre-algebra: Arithmetic propertiesComposes and decomposes multi-digit numbersGiven a digit, identifies the place the digit is in and its value in that placeRecognizes that a digit in one place represents ten times what it represents in the place to its right and one-tenth what it represents in the place to its left, and extends this recognition to several places to the right or leftUses whole-number exponents to denote powers of 10Rounds multi-digit numbers to any place valueUnderstands operations and properties of rational numbers HYPERLINK "" Praxis Math: Rational number operations HYPERLINK "" Praxis Math: Naming and ordering numbersArithmeticSolves multistep mathematical and real-world problems using addition, subtraction, multiplication, and division of rational numbersAlgebra basics: FoundationsPre-algebra: FractionsPre-algebra: DecimalsUnderstands various strategies and algorithms used to perform operations on rational numbersPre-algebra: FractionsPre-algebra: DecimalsRecognizes concepts of rational numbers and their operationsPre-algebra: Arithmetic propertiesPre-algebra: FractionsPre-algebra: DecimalsSolves problems using the order of operations, including problems involving whole number exponentsAlgebra basics: Expressions with exponentsIdentifies properties of operations (e.g., commutative, associative, distributive) and uses them to solve problemsPre-algebra: Arithmetic propertiesRepresents rational numbers and their operations in different waysPre-algebra: FractionsPre-algebra: DecimalsCompares, classifies, and orders rational numbersPre-algebra: Arithmetic propertiesPre-algebra: FractionsPre-algebra: DecimalsConverts between fractions, decimals, and percentsPre-algebra: DecimalsPre-algebra: Ratios, rates, proportionsUnderstands proportional relationships and percentsPraxis Math: Ratios and proportionsPraxis Math: PercentagesPraxis Math: RatesApplies the concepts of ratios and unit rates to describe relationships between two quantitiesPre-algebra: Ratios, rates, proportionsUnderstands percent as a rate per 100Pre-algebra: Ratios, rates, proportionsSolves unit-rate problemsPre-algebra: Ratios, rates, proportionsUses proportional relationships to solve ratio and percent problemsPre-algebra: Ratios, rates, proportionsAlgebra basics: Writing & solving proportionsKnows how to use basic concepts of number theoryPraxis Math: Number conceptsIdentifies and uses prime and composite numbersPre-algebra: Factors and multiplesFinds factors and multiples of numbersPre-algebra: Factors and multiplesKnows a variety of strategies to determine the reasonableness of resultsPraxis Math: Pre-algebra word problemsRecognizes the reasonableness of results within the context of a given problemUses mental math, estimation, and rounding strategies to solve problems and determine reasonableness of resultsII. Algebraic ThinkingLessonKnows how to evaluate and manipulate algebraic expressions, equations, and formulasPraxis Math: Algebraic propertiesPraxis Math: Equivalent expressionsPraxis Math: Creating expressions and equationsPraxis Math: Algebraic word problemsPraxis Math: Quadratic equationsDifferentiates between algebraic expressions and equations6th grade: Variables and expressionsPre-algebra: Equations, expressions, and inequalitiesAlgebra basics: Algebraic expressionsAdds and subtracts linear algebraic expressions6th grade: Variables and expressions7th grade: Expressions, equations, & inequalitiesPre-algebra: Equations, expressions, and inequalitiesAlgebra basics: Algebraic expressionsUses the distributive property to generate equivalent linear algebraic expressions6th grade: Variables and expressions7th grade: Expressions, equations, & inequalitiesPre-algebra: Equations, expressions, and inequalitiesAlgebra basics: Algebraic expressionsEvaluates simple algebraic expressions (i.e., one variable, binomial) for given values of variables6th grade: Variables and expressions7th grade: Expressions, equations, & inequalitiesPre-algebra: Equations, expressions, and inequalitiesAlgebra basics: Algebraic expressionsAlgebra basics: Quadratics and polynomialsUses mathematical terms to identify parts of expressions and describe expressions6th grade: Variables and expressionsPre-algebra: Equations, expressions, and inequalitiesTranslates between verbal statements and algebraic expressions or equations (e.g., the phrase “the number of cookies Joe has is equal to twice the number of cookies Sue has” can be represented by the equation )6th grade: Variables and expressions7th grade: Expressions, equations, & inequalitiesPre-algebra: Equations, expressions, and inequalitiesAlgebra basics: Algebraic expressionsUses formulas to determine unknown quantities8th grade: Linear equations and functionsPre-algebra: Equations, expressions, and inequalitiesDifferentiates between dependent and independent variables in formulasPre-algebra: Equations, expressions, and inequalitiesUnderstands the meanings of the solutions to linear equations and inequalitiesPraxis Math: Solution proceduresPraxis Math: Linear equationsPraxis Math: Quadratic equationsSolves multistep one-variable linear equations and inequalities 7th grade: Expressions, equations, & inequalitiesPre-algebra: Equations, expressions, and inequalitiesAlgebra basics: Linear equations and inequalitiesInterprets solutions of multistep one-variable linear equations and inequalities (e.g., graphs the solution on a number line, states constraints on a situation)7th grade: Expressions, equations, & inequalitiesPre-algebra: Equations, expressions, and inequalitiesAlgebra basics: Linear equations and inequalitiesUses linear relationships represented by equations, tables, and graphs to solve problems 7th grade: Expressions, equations, & inequalities8th grade: Linear equations and functionsPre-algebra: Equations, expressions, and inequalitiesAlgebra basics: Graphing lines and slopeC. Knows how to recognize and represent patterns (e.g., number, shape)Algebra I: SequencesIdentifies, extends, describes, or generates number and shape patternsPre-algebra: Number patternsMakes conjectures, predictions, or generalizations based on patternsIdentifies relationships between the corresponding terms of two numerical patterns (e.g., find a rule for a function table)III. Geometry and Measurement, Data, Statistics, and ProbabilityLessonUnderstands how to classify one-, two-, and three-dimensional figuresPraxis Math: Properties of shapesPraxis Math: AnglesPraxis Math: Congruence and similarityPraxis Math: CirclesUses definitions to identify lines, rays, line segments, parallel lines, and perpendicular linesBasic geometry: LinesClassifies angles based on their measureBasic geometry: AnglesBasic geometry: ShapesComposes and decomposes two- and three-dimensional shapesBasic geometry: ShapesUses attributes to classify or draw polygons and solidsBasic geometry: ShapesBasic geometry: Transformations, congruence, and similarityKnows how to solve problems involving perimeter, area, surface area, and volumePraxis Math: Perimeter, area, and volumePre-algebra: MeasurementRepresents three-dimensional figures with netsBasic geometry: Volume and surface areaUses nets that are made of rectangles and triangles to determine the surface area of three-dimensional figuresBasic geometry: Volume and surface areaFinds the area and perimeter of polygons, including those with fractional side lengthsBasic geometry: Area and perimeterFinds the volume and surface area of right rectangular prisms, including those with fractional edge lengthsBasic geometry: Volume and surface areaDetermines how changes to dimensions change area and volumeBasic geometry: Volume and surface areaKnows the components of the coordinate plane and how to graph ordered pairs on the planeIdentifies the x-axis, the y-axis, the origin, and the four quadrants in the coordinate planeBasic geometry: Coordinate plane5th grade: Coordinate planeSolves problems by plotting points and drawing polygons in the coordinate planeBasic geometry: Coordinate plane6th grade: Polygons on the coordinate planeKnows how to solve problems involving measurementPraxis Math: Unit reasoningSolves problems involving elapsed time, money, length, volume, and mass2nd grade: Measurement, data, and geometry3rd grade: Measurement4th grade Units of measurement5th grade: Converting units of measureMeasures and compares lengths of objects using standard tools1st grade: Measurement, data, and geometry2nd grade: Measurement, data, and geometry4th grade Units of measurement5th grade: Converting units of measureKnows relative sizes of United States customary units and metric units3rd grade: Measurement4th grade Units of measurement5th grade: Converting units of measureConverts units within both the United States customary system and the metric system4th grade Units of measurement5th grade: Converting units of measureIs familiar with basic statistical conceptsPraxis Math: Data representationsPraxis Math: Center and spreadPre-algebra: Reading and interpreting dataIdentifies statistical questions6th grade: Data and statisticsStatistics and probability: Study designSolves problems involving measures of center (mean, median, mode) and range6th grade: Data and statisticsRecognizes which measure of center best describes a set of data6th grade: Data and statisticsStatistics and probability: Summarizing quantitative dataDetermines how changes in data affect measures of center or range6th grade: Data and statisticsStatistics and probability: Summarizing quantitative dataDescribes a set of data (e.g., overall patterns, outliers)6th grade: Data and statisticsStatistics and probability: Summarizing quantitative dataKnows how to represent and interpret data presented in various formsPraxis Math: Data representationsPre-algebra: Reading and interpreting dataInterprets various displays of data (e.g., box plots, histograms, scatterplots)6th grade: Data and statisticsStatistics and probability: Analyzing categorical dataIdentifies, constructs, and completes graphs that correctly represent given data (e.g., circle graphs, bar graphs, line graphs, histograms, scatterplots, double bar graphs, double line graphs, box plots, and line plots/dot plots)6th grade: Data and statisticsStatistics and probability: Analyzing categorical dataStatistics and probability: Displaying and comparing quantitative dataChooses appropriate graphs to display data6th grade: Data and statisticsStatistics and probability: Analyzing categorical dataStatistics and probability: Displaying and comparing quantitative dataIs familiar with how to interpret the probability of eventsInterprets probabilities relative to likelihood of occurrence7th grade: Statistics and probabilityStatistics and probability: ProbabilityPraxis Math: Probability ................
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