Standards
Geometry
Generate resourceMeasurement and Data
Generate resourceNumber and Operations – Fractions
Generate resourceNumber and Operations in Base Ten
Generate resourceOperations and Algebraic Thinking
Generate resourceStandards for Mathematical Practice
Generate resourceDraw and identify lines and angles, and classify shapes by properties of their lines and angles.
Generate resourceDraw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two-dimensional figures.
Generate resourceClassify two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or the presence or absence of angles of a specified size. Recognize right triangles as a category, and identify right triangles.
Generate resourceRecognize a line of symmetry for a two-dimensional figure as a line across the figure such that the figure can be folded along the line into matching parts. Identify line-symmetric figures and draw lines of symmetry.
Generate resourceSolve problems involving measurement and conversion of measurements from a larger unit to a smaller unit.
Generate resourceWithin a single system of measurement, express measurements in a larger unit in terms of a smaller unit.
Generate resourceInclude problems that require expressing measurements given in a larger unit in terms of a smaller unit.
Generate resourceRepresent measurement quantities using diagrams such as number line diagrams that feature a measurement scale.
Generate resourceApply the area and perimeter formulas for rectangles in real-world and mathematical problems.
Generate resourceMake a line plot (dot plot) to show a set of measurements in fractions of a unit ½, ¼, 1/8. Solve problems involving addition and subtraction of fractions by using information presented in line plots (dot plots).
Generate resourceRecognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand concepts of angle measurement.
Generate resourceAn angle is measured with reference to a circle with its center at the common endpoint of the rays, by considering the fraction of the circular arc between the points where the two rays intersect the circle.
Generate resourceAn angle that turns through n one-degree angles is said to have an angle measure of n degrees.
Generate resourceMeasure angles in whole-number degrees using a protractor. Sketch angles of specified measure.
Generate resourceSolve addition and subtraction problems to find unknown angles on a diagram in real-world and mathematical problems.
Generate resourceRecognize angle measure as additive. When an angle is decomposed into non-overlapping parts, the angle measure of the whole is the sum of the angle measures of the parts.
Generate resourceGeneralize place value understanding for multi-digit whole numbers, less than or equal to 1,000,000.
Generate resourceRecognize that in a multi-digit whole number, a digit in any place represents ten times as much as it represents in the place to its right.
Generate resourceRead and write multi-digit whole numbers using standard form, expanded form, and word form. Compare two multi-digit numbers based on meanings of the digits and each place, recording the results of comparisons with the symbols >, =, and <.
Generate resourceUse place value understanding or visual representation to round multi-digit whole numbers to any place.
Generate resourceUse place value understanding and properties of operations to perform multi-digit arithmetic on whole numbers less than or equal to 1,000,000.
Generate resourceFluently use the standard algorithm for multi-digit whole-number addition and subtraction.
Generate resourceMultiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers.
Generate resourceIllustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
Generate resourceFind whole-number quotients and remainders with up to four-digit dividends and one-digit divisors.
Generate resourceUse strategies based on place value, the properties of operations, and/or the relationship between multiplication and division.
Generate resourceIllustrate and explain the calculation by using rectangular arrays, area models, and/or equations.
Generate resourceExplain why a fraction a/b is equivalent to a fraction n × a/n × b by using visual fraction models, with attention to how the numbers and sizes of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions, including fractions greater than 1.
Generate resourceCompare two fractions with different numerators and different denominators, by creating common denominators or numerators, or by comparing to a benchmark fraction such as ½.
Generate resourceRecognize that comparisons are valid only when the two fractions refer to the same whole.
Generate resourceRecord the results of comparisons with symbols >, =, or <, and justify the conclusions, by using a visual fraction model and/or verbal reasoning.
Generate resourceBuild fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.
Generate resourceUnderstand addition and subtraction of fractions as joining and separating parts referring to the same whole.
Generate resourceDecompose a fraction into a sum of fractions with the same denominator in more than one way, recording each decomposition by an equation. Justify the conclusions by using a visual fraction model and/or verbal reasoning.
Generate resourceAdd and subtract mixed numbers with like denominators by replacing the mixed number with an equivalent fraction and/or by using properties of operations and the relationship between addition and subtraction.
Generate resourceSolve word problems involving addition and subtraction of fractions, including mixed numbers, with the same denominator. Justify the conclusions using a visual fraction model and/or verbal reasoning.
Generate resourceApply and extend previous understandings of multiplication to multiply a fraction by a whole number.
Generate resourceUnderstand a multiple of a/b as a multiple of 1/b, and use this understanding to multiply a fraction by a whole number.
Generate resourceSolve word problems involving multiplication of a fraction by a whole number e.g., by using visual fraction models and/or equations to represent the problem.
Generate resourceExpress a fraction with denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two fractions with respective denominators 10 and 100.
Generate resourceRecognize that comparisons are valid only when the two decimals refer to the same whole.
Generate resourceRecord the results of the comparisons with the symbols >, =, and <, and justify the conclusions using visual representations and/or verbal reasoning.
Generate resourceInterpret a multiplication equation as a comparison, e.g., 35 = 5 × 7, as 35 is 5 times as many as 7. Represent verbal multiplicative comparisons as equations.
Generate resourceMultiply or divide to solve word problems involving multiplicative comparison.
Generate resourceSolve multi-step whole-number word problems using the four operations, including problems in which remainders must be interpreted.
Generate resourceRepresent these problems using equations with a letter standing for the unknown quantity.
Generate resourceAssess the reasonableness of answers using mental computation and estimation strategies, including rounding.
Generate resourceDetermine whether a given whole number in the range 1–100 is a multiple of a given one-digit number.
Generate resourceDetermine whether a given whole number in the range 1–100 is prime or composite.
Generate resourceGenerate a number or shape pattern that follows a given rule. Identify and explain features of the pattern that were not explicit in the rule itself.
Generate resource