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Lexington City School District
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4th Grade Math Eureka
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2021-2022 Pacing Guide
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StandardsFS
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14.NBT.A.1- Recognize that in a multi-digit whole number (less than or equal to 1,000,000), a digit in one place represents10 timesas much as it represents in the place to its right.For example, recognize that 7 in 700 is10 timesbigger than the 7 in 70 because700 ÷ 70 = 10 and 70 × 10 = 700.Place Value in Whole Numbers*1st Nine Weeks
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24.NBT.A.2- Read and write multi-digit whole numbers (less than or equal to 1,000,000) using standard form, word form, and expanded form (e.g. the expanded form of 4256 is written as4 × 1000 + 2 × 100 + 5 × 10 + 6 × 1).Compare two multi-digit numbers based on meanings of the digits in each place and use thesymbols >, =, and <to show the relationship.Compare Whole Numbers
Read and Write Whole Numbers		*
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34.NBT.A.3- Round multi-digit whole numbers to any place (up to and including thehundred-thousandplace) using understanding of place value.Round Whole Numbers*
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44.NBT.B.4- Fluently add and subtract within 1,000,000 using appropriate strategies and algorithms.Addition and Subtraction*
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54.OA.A.1- Interpret a multiplication equation as a comparison(e.g., interpret 35 = 5 × 7as a statement that 35 is5 timesas many as 7 and7 timesas many as5).Represent verbal statements of multiplicative comparisons as multiplication equations.Multiplicative Comparisons*
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64.OA.A.2- Multiply or divide to solve contextual problems involving multiplicative comparison, and distinguish multiplicative comparison from additive comparison.For example,school Ahas300 studentsandschool Bhas600 students:to say thatschool Bhas two times as many students is an example of multiplicative comparison; to say thatschool Bhas 300 more students is an example of additive comparison.Real World - Multiplicative Comparison*
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74.OA.B.4- Find all factor pairs for a whole number in the range1–100.Recognize that a whole number is a multiple of each of its factors. Determine whether a given whole number in the range1–100is a multiple of a given one-digit number. Determine whether a given whole number in the range 1–100 is prime or compositeFactors and Multiples
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84.NBT.B.5- Multiply a whole number of up to four digits by a one-digit whole number and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.Multiplication*
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94.NBT.B.6- Find whole-number quotients and remainders with up to four-digit dividends andone-digit divisors,using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.Division*2nd Nine Weeks
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104.MD.A.3- Know and apply the area and perimeter formulas for rectangles in real-world and mathematical problems.For example, find the width of a rectangular room given the area of the flooring and the length, by viewing the area formula as a multiplication equation with an unknown factor.Area and Perimeter*
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114.OA.A.3- Solve multi-step contextual problems posed with whole numbers and havingwhole-number answersusing the four operations, including problems in which remainders must be interpreted. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding.Real World - Multistep Problems*
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124.NF.A.1- Explain why a fractionis equivalent to a fractionorby using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions.For example,.Equivalent Fractions*
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134.NF.A.2- Compare two fractions with different numerators and different denominators by creating common denominators or common numerators or by comparing to a benchmark fraction such as.Recognize that comparisons are valid only when the two fractions refer to the same whole. Use the symbols>, =, or <to show the relationship and justify the conclusions.Compare Fractions*
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144.NF.B.3.a- Understand addition and subtraction of fractions as joining and separating parts referring to the same whole.Add and Subtract Fractions3rd Nine Weeks
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154.NF.B.3.b- Decompose a fraction into a sum of fractions with the same denominator in more than one way(e.g.,),recording each decomposition by an equation. Justify decompositions by using a visual fraction model.Decompose Fractions*
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164.NF.B.3.c- Add and subtract mixed numbers with like denominators by replacing each mixed number with an equivalent fraction and/or by using properties of operations and the relationship between addition and subtraction.Add and Subtract Mixed Numbers*
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174.NF.B.3.d- Solve contextual problems involving addition and subtraction of fractions referring to the same whole and having like denominatorsReal World - Add and Subtract Fractions
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184.NF.B.4.a- Understand a fractionas a multiple of.For example, use a visual fraction model to representas the product,recording the conclusion by the equation.Multiply Fraction by Whole Number*
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194.NF.B.4.b- Understand a multiple ofas a multiple ofand use this understanding to multiply a whole number by a fraction.For example, use a visual fraction model toexpressas,recognizing this product as.(In general,.)Multiply Fraction by Whole Number*
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204.NF.B.4.c- Solve contextual problems involving multiplication of a whole number by a fraction (e.g., by using visual fraction models and equations to represent the problem).For example, if each person at a party will eatof a pound of roast beef, and there will be4 peopleat the party, how many pounds of roast beef will be needed? Between what two whole numbers does your answer lie?Multiply Fraction by Whole Number
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214.MD.B.4- Make a line plot to display a data set of measurements in fractions of a unit(1/2, 1/4, 1/8).Use operations on fractions for this grade to solve problems involving information presented in line plots.For example, from a line plot find and interpret the difference in length between the longest and shortest specimens in an insect collection.Line Plots
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224.NF.C.5- Express 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.For example, express,asandadd.Fractions - Denominators of 10 or 100
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234.NF.C.6- Read and write decimal notation for fractions with denominators 10 or 100. Locate these decimals on a number line.Decimal Fractions*
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244.NF.C.7- Compare two decimals to hundredths by reasoning about their size. Recognize that comparisons are valid only when the two decimals refer to the same whole. Use the symbols>, =, or <to show the relationship and justify the conclusions.Compare Decimals*
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254.MD.C.5.a- Understand that an 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.Angle Measurement
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264.MD.C.5.b- Understand that an angle that turns through1/360 of a circleis called a"one-degree angle,"and can be used to measure angles. An angle that turns throughnone-degree anglesis said to have an angle measure ofndegreesand represents a fractional portion of the circle.Angle Measurement
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274.MD.C.6- Measure angles in whole-number degrees using a protractor. Sketch angles of specified measure.Angle Measurement
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284.MD.C.7- Recognize angle measure as additive. When an angle is decomposed intonon-overlapping parts,the angle measure of the whole is the sum of the angle measures of the parts. Solve addition and subtraction problems to find unknown angles on a diagram in real-world and mathematical problems(e.g., by using an equation with a symbol for the unknown angle measure).Additive Angle Measures
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294.G.A.1- Draw points, lines, line segments, rays, angles (right, acute, obtuse, straight, reflex), and perpendicular and parallel lines. Identify these in two-dimensional figures.Angles
Points, Lines, Line Segments, and Rays
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304.G.A.2- Classify 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.Classify Two-Dimensional Figures
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314.G.A.3- Recognize and draw lines of symmetry for two-dimensional figures.Symmetry*4th Nine Weeks
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324.OA.C.5- Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself.For example, given the rule "Add 3" and the starting number 1, generate terms in the resulting sequence and observe that the terms appear to alternate between odd and even numbers. Explain informally why the numbers will continue to alternate in this way.Patterns
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334.MD.A.1- Measure and estimate to determine relative sizes of measurement units within a single system of measurement involving length, liquid volume, and mass/weight of objects using customary and metric units.Measurement Problems
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344.MD.A.2- Solve one- or two-step real-world problems involving whole number measurements with all four operations within a single system of measurement including problems involving simple fractions.Measurement Problems
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