Standards
Build an understanding of operations with multi-digit numbers including decimals.
Generate resourceUnderstand place value for multi-digit numbers.
Generate resourceNumber Sense and Operations
Generate resourceSolve problems involving time and money.
Generate resourceMeasure the length of objects and solve problems involving measurement.
Generate resourceMeasurement
Generate resourceSolve problems involving the perimeter and area of rectangles.
Generate resourceDraw, classify and measure angles.
Generate resourceGeometric Reasoning
Generate resourceBuild a foundation of addition, subtraction and multiplication operations with fractions.
Generate resourceDevelop an understanding of the relationship between different fractions and the relationship between fractions and decimals.
Generate resourceFractions
Generate resourceCollect, represent and interpret data and find the mode, median and range of a data set.
Generate resourceData Analysis and Probability
Generate resourceRecognize numerical patterns, including patterns that follow a given rule.
Generate resourceDemonstrate an understanding of equality and operations with whole numbers.
Generate resourceRepresent and solve problems involving the four operations with whole numbers and fractions.
Generate resourceAlgebraic Reasoning
Generate resourceSolve one-step real-world problems involving multiplication and division of whole numbers. Multiplication may not exceed two-digit by one-digit and division must be related to one-digit by one-digit multiplication facts.
Generate resourceSolve one-step real-world problems involving addition and subtraction of fractions less than one with like denominators. Denominators limited to 2, 3, 4, 6, 8 or 10.
Generate resourceSolve one-step real-world problems involving multiplication of a unit fraction by a whole number (e.g., 3 × 1/4, 2 × 1/6, 5 × 1/2). Denominators limited to 2, 3, 4, 6, 8 or 10.
Generate resourceDetermine whether an equation (with no more than three terms) involving any of the four operations with whole numbers is true or false. Sums may not exceed 100 and their related subtraction facts. Multiplication may not exceed two-digit by one-digit and division must be related to one-digit by one-digit multiplication facts.
Generate resourceGiven a real-world context, identify or generate an equation involving multiplication or division to determine the unknown product or quotient. Multiplication may not exceed two-digit by one-digit and division must be related to one-digit by one-digit multiplication facts.
Generate resourceExplore factor pairs for a whole number. Factors may not exceed single-digit whole numbers.
Generate resourceGenerate a numerical pattern when given a starting term and a one-step addition rule (e.g., starting at the number 5 use the rule add 5 and generate the pattern).
Generate resourceSort and represent numerical data, including fractional values using tables or line plots (when given a scaled number line). Data set to include only whole numbers and halves.
Generate resourceDetermine the mode or range to interpret numerical data including fractional values, represented with tables or line plots. Data set to include only whole numbers and halves. Limit the greatest and least number in a data set to a whole number.
Generate resourceSolve one-step real-world problems involving numerical data represented with tables or line plots. Data set to include only whole numbers and halves. Required operations to involve only the whole number data points in the data set.
Generate resourceUsing a visual model, recognize fractions less than one, with the denominator 10 as an equivalent fraction with the denominator 100 (e.g., 2/10 is equivalent to 20/100).
Generate resourceUse decimal notation to represent fractions less than one with denominators of 10 or 100 and use fractional notation with denominators of 10 or 100 to represent decimals less than one.
Generate resourceUsing a visual model, generate fractions less than a whole that are equivalent to fractions with denominators 2, 3, 4, 6, 8 or 10. Explore how the numerator and denominator are affected when the equivalent fraction is created.
Generate resourceUsing visual models, compare fractions less than one with different numerators and different denominators. Denominators limited to 2, 3, 4, 6, 8 or 10.
Generate resourceDecompose a fraction less than one into a sum of unit fractions with the same denominator (e.g., 3/4 = 1/4 + 1/4 + 1/4). Denominators limited to 2, 3, 4, 6, 8 or 10. Demonstrate each decomposition with objects, drawings or equations.
Generate resourceExplore adding and subtracting fractions less than one with like denominators. Denominators limited to 2, 3, 4, 6, 8 or 10.
Generate resourceExplore the addition of a fraction with denominator of 10 to a fraction with denominator of 100 using visual models to find equivalent fractions.
Generate resourceExplore the multiplication of a unit fraction by a whole number (e.g., 3 × 1/4, 2 × 1/6, 5 × 1/2). Denominators limited to 2, 3, 4, 6, 8 or 10.
Generate resourceInformally explore angles as an attribute of two-dimensional figures. Limit angles to acute, obtuse and right.
Generate resourceRecognize that angle measure is additive by exploring when an angle is decomposed into two non-overlapping parts the angle measure of the whole is the sum of the angle measures of the parts.
Generate resourceSolve perimeter and area mathematical and real-world problems for rectangles with given whole-number side lengths.
Generate resourceExplore the relationship between perimeter and area using rectangles with the same perimeter and different areas or with the same area and different perimeters.
Generate resourceSelect and use appropriate tools to measure length (i.e., inches, feet, yards), liquid volume (i.e., gallons, quarts, pints, cups) and temperature (i.e., degrees Fahrenheit).
Generate resourceExplore selecting and using appropriate tools to measure weight (i.e., ounces, pounds).
Generate resource1c. Explore relative sizes of measurement units within one system of units including yards, feet, inches; pounds, ounces; gallons, quarts, pints, cups; and hours, minutes.
Generate resource1d. Using a conversion sheet, convert from a larger to a smaller unit within a single system of measurement using the units: yards, feet, inches; pounds, ounces; gallons, quarts, pints, cups; and hours, minutes. Only whole number measurements may be used.
Generate resourceSolve one- and two-step real-world problems involving distances (i.e., inches, feet, yards, miles) in whole numbers using any combination of the four operations.
Generate resourceSolve one-step real-world problems involving intervals of time in whole numbers using any of the four operations.
Generate resourceSolve one- and two-step addition and subtraction real-world problems involving money using decimal notation. Sums not to exceed $0.99 and their related subtraction facts.
Generate resourceExplore how the value of a digit in a multi-digit whole number changes if the digit moves one place to the left.
Generate resourceRead and generate numbers from 0 to 10,000 using standard form and expanded form.
Generate resourceRound whole numbers from 100 to 10,000 to the nearest 1,000 with visual support.
Generate resourceUsing visual models, compare decimals less than one up to the hundredths.
Generate resourceRecall multiplication facts of one-digit whole numbers multiplied by 1, 2, 5 and 10.
Generate resourceExplore multiplication of two whole numbers, up to two digits by one digit.
Generate resourceApply a strategy to multiply two whole numbers up to two digits by one digit.
Generate resourceExplore division of two whole numbers up to two digits by one digit with and without remainders. Represent remainders as whole numbers.
Generate resourceExplore the estimation of products and quotients of two whole numbers up to two digits by one digit.
Generate resourceIdentify the number that is one-tenth more and one-tenth less than a given number (i.e., 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9).
Generate resourceExplore the addition and subtraction of decimals less than one to the tenths (e.g., 0.3 + 0.5) and hundredths (e.g., 0.25 − 0.12).
Generate resourceUsing a tool with a square angle, identify angles as acute, right or obtuse and construct angles that are acute, right or obtuse.
Generate resourceCollect, represent and interpret data and find the mode, median and range of a data set.
Generate resourceData Analysis and Probability
Generate resourceSolve problems involving the perimeter and area of rectangles.
Generate resourceDraw, classify and measure angles.
Generate resourceGeometric Reasoning
Generate resourceBuild a foundation of addition, subtraction and multiplication operations with fractions.
Generate resourceDevelop an understanding of the relationship between different fractions and the relationship between fractions and decimals.
Generate resourceFractions
Generate resourceSolve problems involving time and money.
Generate resourceMeasure the length of objects and solve problems involving measurement.
Generate resourceMeasurement
Generate resourceRecognize numerical patterns, including patterns that follow a given rule.
Generate resourceDemonstrate an understanding of equality and operations with whole numbers.
Generate resourceRepresent and solve problems involving the four operations with whole numbers and fractions.
Generate resourceAlgebraic Reasoning
Generate resourceBuild an understanding of operations with multi-digit numbers including decimals.
Generate resourceUnderstand place value for multi-digit numbers.
Generate resourceNumber Sense and Operations
Generate resourceSolve real-world problems involving multiplication and division of whole numbers including problems in which remainders must be interpreted within the context.
Generate resourceSolve real-world problems involving addition and subtraction of fractions with like denominators, including mixed numbers and fractions greater than one.
Generate resourceSolve real-world problems involving multiplication of a fraction by a whole number or a whole number by a fraction.
Generate resourceDetermine and explain whether an equation involving any of the four operations with whole numbers is true or false.
Generate resourceGiven a mathematical or real-world context, write an equation involving multiplication or division to determine the unknown whole number with the unknown in any position.
Generate resourceDetermine factor pairs for a whole number from 0 to 144. Determine whether a whole number from 0 to 144 is prime, composite or neither.
Generate resourceGenerate, describe and extend a numerical pattern that follows a given rule.
Generate resourceCollect and represent numerical data, including fractional values, using tables, stem-and-leaf plots or line plots.
Generate resourceDetermine the mode, median or range to interpret numerical data including fractional values, represented with tables, stem-and-leaf plots or line plots.
Generate resourceModel and express a fraction, including mixed numbers and fractions greater than one, with the denominator 10 as an equivalent fraction with the denominator 100.
Generate resourceUse decimal notation to represent fractions with denominators of 10 or 100, including mixed numbers and fractions greater than 1, and use fractional notation with denominators of 10 or 100 to represent decimals.
Generate resourceIdentify and generate equivalent fractions, including fractions greater than one. Describe how the numerator and denominator are affected when the equivalent fraction is created.
Generate resourcePlot, order and compare fractions, including mixed numbers and fractions greater than one, with different numerators and different denominators.
Generate resourceDecompose a fraction, including mixed numbers and fractions greater than one, into a sum of fractions with the same denominator in multiple ways. Demonstrate each decomposition with objects, drawings and equations.
Generate resourceAdd and subtract fractions with like denominators, including mixed numbers and fractions greater than one, with procedural reliability.
Generate resourceExplore the addition of a fraction with denominator of 10 to a fraction with denominator of 100 using equivalent fractions.
Generate resourceExtend previous understanding of multiplication to explore the multiplication of a fraction by a whole number or a whole number by a fraction.
Generate resourceInformally explore angles as an attribute of two-dimensional figures. Identify and classify angles as acute, right, obtuse, straight or reflex.
Generate resourceEstimate angle measures. Using a protractor, measure angles in whole-number degrees and draw angles of specified measure in whole-number degrees. Demonstrate that angle measure is additive.
Generate resourceSolve real-world and mathematical problems involving unknown whole-number angle measures. Write an equation to represent the unknown.
Generate resourceSolve perimeter and area mathematical and real-world problems, including problems with unknown sides, for rectangles with whole-number side lengths.
Generate resourceSolve problems involving rectangles with the same perimeter and different areas or with the same area and different perimeters.
Generate resourceConvert within a single system of measurement using the units: yards, feet, inches; kilometers, meters, centimeters, millimeters; pounds, ounces; kilograms, grams; gallons, quarts, pints, cups; liter, milliliter; and hours, minutes, seconds.
Generate resourceSolve two-step real-world problems involving distances and intervals of time using any combination of the four operations.
Generate resourceSolve one- and two-step addition and subtraction real-world problems involving money using decimal notation.
Generate resourceExpress how the value of a digit in a multi-digit whole number changes if the digit moves one place to the left or right.
Generate resourceRead and write multi-digit whole numbers from 0 to 1,000,000 using standard form, expanded form and word form.
Generate resourceRecall multiplication facts with factors up to 12 and related division facts with automaticity.
Generate resourceMultiply two whole numbers, up to three digits by up to two digits, with procedural reliability.
Generate resourceMultiply two whole numbers, each up to two digits, including using a standard algorithm with procedural fluency.
Generate resourceDivide a whole number up to four digits by a one-digit whole number with procedural reliability. Represent remainders as fractional parts of the divisor.
Generate resourceExplore the multiplication and division of multi-digit whole numbers using estimation, rounding and place value.
Generate resourceIdentify the number that is one-tenth more, one-tenth less, one-hundredth more and one-hundredth less than a given number.
Generate resourceExplore the addition and subtraction of multi-digit numbers with decimals to the hundredths.
Generate resource