Standards
Data & Probability
Generate resourceGeometry & Measurement
Generate resourceAlgebraic Reasoning & Algebra
Generate resourceNumbers & Operations
Generate resourceDescribe, create, and analyze multiple representations of patterns to solve real-world and mathematical problems.
Generate resourceCreate an input/output chart or table to represent or extend a numerical pattern.
Generate resourceDescribe the single operation rule for a pattern from an input/output table or function machine involving any operation of a whole number.
Generate resourceConstruct models to show growth patterns involving geometric shapes and define the single operation rule of the pattern.
Generate resourceUse multiplication and division with variables to create number sentences representing a given mathematical situation.
Generate resourceUse the relationships between multiplication and division with the properties of multiplication to solve problems and find values for variables that make number sentences true.
Generate resourceSolve for a variable in an equation involving addition, subtraction, multiplication, or division with whole numbers. Analyze models to represent number sentences and vice versa.
Generate resourceDetermine the unknown addend or factor in equivalent and non-equivalent expressions (e.g., 5 + 6 = 4 + __, 3 ∙ 8 < 3 ∙ __).
Generate resourceCreate and organize data on a frequency table or line plot marked with whole numbers and fractions using appropriate titles, labels, and units.
Generate resourceOrganize data sets to create tables, bar graphs, timelines, and Venn diagrams. The data may include benchmark fractions or decimals (¼, 1/3, ½, 2/3, ¾, 0.25, 0.50, 0.75).
Generate resourceSolve one- and two-step problems by analyzing data in whole number, decimal, or fraction form in a frequency table and line plot.
Generate resourceName, describe, classify, and construct polygons and three-dimensional figures based on their attributes; recognize polygons and three-dimensional figures in real-life and mathematical situations.
Generate resourceIdentify points, lines, line segments, rays, angles, endpoints, and parallel and perpendicular lines in various models.
Generate resourceDescribe, classify, and construct quadrilaterals, including squares, rectangles, trapezoids, rhombuses, parallelograms, and kites. Recognize quadrilaterals in various models.
Generate resourceGiven two three-dimensional shapes, identify each shape. Compare and contrast their similarities and differences based on their attributes.
Generate resourceRecognize and measure attributes in real-world and mathematical situations using various tools.
Generate resourceMeasure angles in geometric figures and real-world objects with a protractor or angle ruler.
Generate resourceFind the area of polygons by determining if they can be decomposed into rectangles.
Generate resourceDevelop the concept that the volume of rectangular prisms with whole-number edge lengths can be found by counting the total number of same-sized unit cubes that fill a shape without gaps or overlaps. Use a variety of tools and create models to determine the volume using appropriate measurements (e.g., cm³).
Generate resourceChoose an appropriate instrument to measure the length of an object to the nearest whole centimeter or quarter inch.
Generate resourceRecognize and use the relationship between inches, feet, and yards to measure and compare objects.
Generate resourceRecognize and use the relationship between millimeters, centimeters, and meters to measure and compare objects.
Generate resourceDetermine and justify the best use of customary and metric measurements in a variety of situations (liquid volumes, mass vs. weight, temperatures above 0 (zero) degrees, and length).
Generate resourceConvert one measure of time to another including seconds to minutes, minutes to hours, hours to days, and vice versa, using various models.
Generate resourceCompare and represent whole numbers up to 1,000,000 with an emphasis on place value and equality.
Generate resourceRead, write, discuss, and represent whole numbers up to 1,000,000. Representations may include numerals, words, pictures, number lines, and manipulatives.
Generate resourceUse place value to describe whole numbers between 1,000 and 1,000,000 in terms of millions, hundred thousands, ten thousands, thousands, hundreds, tens, and ones with written, standard, and expanded forms.
Generate resourceApplying knowledge of place value, use mental strategies (no written computations) to multiply or divide a number by 10, 100 and 1,000.
Generate resourceUse place value to compare and order whole numbers up to 1,000,000, using comparative language, numbers, and symbols.
Generate resourceDemonstrate fluency with multiplication and division facts with factors up to 12.
Generate resourceMultiply 3-digit by 1-digit and 2-digit by 2-digit whole numbers, using various strategies, including but not limited to standard algorithms.
Generate resourceEstimate products of 3-digit by 1-digit and 2-digit by 2-digit whole number factors using a variety of strategies (e.g., rounding, front end estimation, adjusting, compatible numbers) to assess the reasonableness of results. Explore larger numbers using technology to investigate patterns.
Generate resourceApply and analyze models to solve multi-step problems requiring the use of addition, subtraction, and multiplication of multi- digit whole numbers. Use various strategies, including the relationship between operations, the use of appropriate technology, and the context of the problem to assess the reasonableness of results.
Generate resourceUse strategies and algorithms (e.g., mental strategies, standard algorithms, partial quotients, repeated subtraction, the commutative, associative, and distributive properties) based on knowledge of place value, equality, and properties of operations to divide a 3-digit dividend by a 1-digit whole number divisor, with and without remainders.
Generate resourceRepresent and compare fractions and decimals in real-world and mathematical situations; use place value to understand decimal quantities.
Generate resourceRepresent and rename equivalent fractions using fraction models (e.g., parts of a set, area models, fraction strips, number lines).
Generate resourceUse benchmark fractions (0, ¼. 1/3, ½, 2/3, ¾, 1) to locate additional fractions with denominators up to twelfths on a number line.
Generate resourceUse models to order and compare whole numbers and fractions less than and greater than one, using comparative language and symbols.
Generate resourceDecompose a fraction into a sum of fractions with the same denominator in more than one way, using concrete and pictorial models and recording results with numerical representations (e.g., ¾ = ¼ + ¼ + ¼ and ¾ = 2/4 + ¼).
Generate resourceRepresent tenths and hundredths with concrete and pictorial models, making connections between fractions and decimals.
Generate resourceRead and write decimals in standard, word, and expanded form up to at least the hundredths place in a variety of contexts, including money.
Generate resourceCompare and order decimals and whole numbers using place value and various models including but not limited to grids, number lines, and base 10 blocks.
Generate resourceCompare and order benchmark fractions (0, ¼, 1/3, ½, 2/3, ¾, 1) and decimals (0, 0.25, 0.50, 0.75, 1.00) in a variety of representations.
Generate resourceDetermine the value of bills and coins in order to solve monetary transactions.
Generate resourceSelect the fewest number of coins for a given amount of money up to one dollar.
Generate resourceGiven a total cost (dollars and coins up to twenty dollars) and amount paid (dollars and coins up to twenty dollars), find the change required in a variety of ways.
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