# 4th Grade Math Curriculum Map

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1 Standards Quarter 1 Key Vocabulary Pre/Post Test Dates Taught (For Teacher Use) Number and Operations in Base Ten 4.NBT.1 Recognize that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right. 4.NBT.2 Read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form. Compare two multi-digit numbers based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons. 4.NBT.1 whole number base-ten place value multi-digit ones tens hundreds thousands ten thousands hundred thousands millions 4.NBT.2 standard form expanded form word/written form compare greater than less than order equal/equivalent Place Value - 4.NBT.1, 4.NBT.2, 4.NBT.3, 4.NBT.4 Test ID: MYNIXA3 # of Questions: 20 4.NBT.3 Use place value understanding to round multi-digit whole numbers to 4.NBT.3 round

2 any place. estimate nearest reasonableness 4.NBT.4 Fluently add and subtract multi-digit whole numbers using the standard algorithm. 4.NBT.4 add addend sum subtract difference equation reasonableness 4.NBT.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. 4.NBT.5 multiply factors product arrays area model repeated addition reasonableness Multiplication - 4.NBT.5 and 4.OA.3 Test ID: QEHUBU7 # of Questions: 15

3 Operations and Algebraic Thinking 4.OA.3 Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations, including problems in which remainders must be interpreted. Represent these problems using equations with a letter standing for unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding. 4.OA.3 multistep sum difference quotient product reasonableness estimation rounding 4.OA.4 Find all factor pairs for a whole number in the range Recognize that a whole number is a multiple of each of its factors. Determine whether a given whole number in the range is a multiple of a given one-digit number. Determine whether a given whole number in the range is prime or composite. 4.OA.4 factors factor pairs multiples prime composite Prime/Composite/Fact ors - 4.OA.4 Test ID: ZUBYJQY4 # of Questions: 15 Number and Operations - Fractions Measurement and Data Geometry

4 I Can Statements of the Standards - Quarter 1 Dates Taught (For Teacher Use) Number and Operations in Base Ten 4.NBT.1: I can identify the location of and determine the value of a digit in a number. I can represent a number in multiple ways. I can recognize that in a multi-digit whole number, a digit in the ones place is ten times the place to its right. 4.NBT.2: I can read and write multi-digit whole numbers in standard, expanded, and word/written form. I can compare and order multi-digit whole numbers. 4.NBT.3: I can round numbers to a specific place value. 4.NBT.4: I can add and subtract multi-digit whole numbers. 4.NBT.5: I can multiply single and multi-digit whole numbers. Operations and Algebraic Thinking 4.OA.4: I can identify all factor pairs for a whole number. I can recognize that a whole number is a multiple of each of its factors. I can determine whether a number is prime or composite. Number and Operations - Fractions Measurement and Data Geometry

5 Standards Quarter 2 Operations and Algebraic Thinking Standards to Spiral 4.OA.4 Vocabulary Pre/Post Test Dates Taught/ Spiraled (For Teacher Use) Number and Operations in Base Ten 4.NBT.6 Find whole-number quotients and remainders with up to four-digit dividends and one-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. 4.NBT.1 4.NBT.2 4.NBT.3 4.NBT.4 4.NBT.5 4.NBT.6 divisor dividend quotient remainder Division - 4.NBT.6 and 4.OA.3 Test ID: TAHYRUB7 # of Questions: 15 Number and Operations - Fractions 4.NF.1 Explain why a fraction a/b is equivalent to a fraction (n a)/(n b) by 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. 4.NF.1 equivalent parts of a whole parts of a set improper fraction mixed number simplify/reduce numerator denominator Fractions - 4.NF.1 and 4.NF.2 Test ID: ZYFOGIG4 # of Questions: 10

6 4.NF.2 Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols >, =, or <, and justify the conclusions. 4.NF.2 comparing ordering Measurement and Data Geometry

7 I Can Statements of the Standards - Quarter 2 Dates Taught (For Teacher Use) Operations and Algebraic Thinking Number and Operations in Base Ten 4.NBT.6 I can divide multi-digit whole numbers. Number and Operations - Fractions 4.NF.1 I can represent fractions with models. I can recognize and create equivalent fractions. I can simplify fractions. I can change improper fractions to mixed numbers and mixed numbers to improper fractions. 4.NF.2 I can compare and order fractions. Measurement and Data Geometry

8 Standards Quarter 3 Operations and Algebraic Thinking Standards to Spiral 4.OA.3 4.OA.4 Vocabulary Pre/Post Test Dates Taught/ Spiraled (For Teacher Use) Number and Operations in Base Ten 4.NBT.1 4.NBT.2 4.NBT.3 4.NBT.4 4.NBT.5 4.NBT.6 Number and Operations Fractions 4.NF.3 Understand a fraction a/b with a>1 as a sum of fractions 1/b. a) Understand addition and subtraction of fractions as joining and separating parts referring to the same whole. b) Decompose a fraction into a sum of fractions with the same denominator in more than one way, recording each decomposition by an equation. Justify decompositions. c) Add and subtract mixed numbers with like denominators. d) Solve word problems involving addition and subtraction of fractions 4.NF.1 4.NF.2 4.NF.3 add subtract decompose mixed number improper fraction equivalent sum difference Fractions 4.NF.3 and 4.NF.4 Test ID: VUTADYL5 # of Questions: 10

9 referring to the same whole and having like denominators. 4.NF.4 Apply and extend previous understandings of multiplication to multiply a fraction by a whole number. a) Understand a fraction a/b as a multiple of 1/6. b) Understand a multiple of a/b as a multiple of 1/b and use this understanding to multiply a fraction by a whole number. c) Solve word problems involving multiplication of a fraction by a whole number. 4.NF.5 Express a fraction with a denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two fractions with respective denominators 10 and NF.4 multiply repeated addition whole number sum product 4.NF.5 equivalent denominator numerator convert Decimals - 4.NF.5, 4.NF.6, and 4.NF.7 Test ID: LAGAFACY2 # of Questions: 15 4.NF.6 Use decimal notation for fractions with denominators 10 or NF.6 tenths hundredths whole number decimal decimal notation

10 4.NF.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. Measurement and Data 4.MD.4 Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Solve problems involving addition and subtraction of fractions by using information presented in line plots. 4.MD.5 Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint. 4.MD.6 Measure angles in wholenumber degrees using a protractor. Sketch angles of specified measure. 4.NF.7 tenths hundredths whole number decimal decimal notation 4.MD.4 line plot data sum difference 4.MD.5 angle ray endpoint acute obtuse right straight 4.MD.6 right acute obtuse straight protractor degrees measure Fractional Line Plots - 4.MD.4 Test ID: MOSEBYS6 # of Questions: 10 Angles - 4.MD.5, 4.MD.6, and 4.MD.7 Test ID: PKTUPECU5 # of Questions: 10

11 4.MD.7 Recognize 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. Solve addition and subtraction problems to find unknown Geometry 4.G.1 Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in twodimensional figures. 4.MD.7 right acute obtuse straight supplementary complementary unknown overlapping 4.G.1 point line line segment ray angle right angle obtuse angle acute angle straight angle perpendicular lines intersecting lines parallel lines two-dimensional Geometry - 4.G.1, 4.G.2, and 4.G.3 Test ID: JOMIC6 # of Questions: 15

12 4.G.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. 4.G.3 Recognize 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. 4.G.2 square rhombus quadrilateral triangle right triangle obtuse triangle acute triangle equilateral triangle scalene triangle isosceles triangle pentagon hexagon octagon decagon parallel perpendicular right obtuse acute 4.G.3 symmetry

13 I Can Statements of the Standards - Quarter 3 Dates Taught (For Teacher Use) Operations and Algebraic Thinking Number and Operations in Base Ten Number and Operations Fractions 4.NF.3 I can understand addition and subtraction of fractions. I can add and subtract mixed numbers with like denominators. I can solve word problems involving addition and subtraction of fractions. 4.NF.4 I can multiply fractions by a whole number. I can solve word problems involving multiplication of a fraction by a whole number. 4.NF.5 I can express a fraction with a denominator of 10 as an equivalent fraction with a denominator of NF.6 I can use decimal notation for fractions with denominators of 10 or NF.7 I can compare two decimals to the hundredths place.

14 Measurement and Data 4.MD.4 I can read and plot data sets of measurement in fractions of a unit on a line plot. 4.MD.5 I can recognize angles as right, acute, or obtuse, and recognize angles are formed from two rays meeting at a common endpoint. I can recognize angles as parts of a circle. 4.MD.6 I can measure an angle and draw an angle of a certain degree using a protractor. 4.MD.7 I can show how angles can be broken down into smaller angels, how smaller angles can be put together to form one large and I can solve addition and subtraction problems to find unknown angles. Geometry 4.G.1 I can draw and identify points, lines, line segments, rays, angles (right, acute, obtuse), perpendicular and parallel lines and two-dimensional figures. 4.G.2 I can classify two dimensional shapes based on their line segments and angles. 4.G.3 I can recognize lines of symmetry in 2 dimensional figures.

15 Standards Quarter 4 Standards to Spiral Key Vocabulary Pre/Post Test Dates Taught/ Spiraled (For Teacher Use) Operations and Algebraic Thinking 4.OA.1 Interpret a multiplication equation as a comparison. Represent verbal statements of multiplicative comparisons as multiplication equations. 4.OA.3 4.OA.4 4.OA.1 equation equal variable balance unknown Algebra - 4.OA.1, 4.OA.2, 4.OA.5 Test ID: JEBIQUH7 # of Questions: 15 4.OA.2 Multiply or divide to solve word problems involving multiplicative comparison. 4.OA.2 quotient product equation expression unknown 4.OA.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 4.OA.5 patterns rules formulas equations compatible numbers reasonableness mental computation estimation

16 even numbers. Explain informally why the numbers will continue to alternate this way. Number and Operations in Base Ten 4.NBT.1 4.NBT.2 4.NBT.3 4.NBT.4 4.NBT.5 4.NBT.6 Number and Operations - Fractions 4.NF.1 4.NF.2 4.NF.3 4.NF.4 4.NF.5 4.NF.6 4.NF.7 Measurement and Data 4.MD.1 Know relative sizes of measurement units within one system of units including km, m, cm; kg, g; lb, oz.; l, ml; hr, min, sec. Within a single system of measurement, express measurements in a larger unit in terms 4.MD.4 4.MD.5 4.MD.6 4.MD.7 4.MD.1 kilometer (km) meter (m) centimeter (cm) kilogram (kg) gram (g) pound (lb) ounces (oz) Measurement - 4.MD.1 and 4.MD.2 Test ID: LYFOBIHA8 # of Questions: 10

17 of a smaller unit. Record measurement equivalents in a two-column table. For example, know that 1 ft is 12 times as long as 1 in. Express the length of a 4 ft snake as 48 in. Generate a conversion table for feet and inches listing the number pairs (1, 12), (2, 24), (3, 36). 4.MD.2 Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money, including problems involving simple fractions or decimals, and problems that require expressing measurements given in a larger unit in terms of a smaller unit. Represent measurement quantities using diagrams such as number line diagrams that feature a measurement scale. 4.MD.3 Apply the area and perimeter formulas for rectangles in real world and mathematical problems. For example, find the width of liter (l) milliliter (ml) hour (hr) minute (min) second (sec) 4.MD.2 volume mass unit distance time money 4.MD.3 area perimeter formula rectangles Perimeter and Area - 4.MD.3 Test ID: NURIZOS6

18 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. # of Questions: 10 Geometry 4.G.1 4.G.2 4.G.3

19 I Can Statements of the Standards - Quarter 4 Dates Taught (For Teacher Use) Operations and Algebraic Thinking 4.OA.5 I can create shape patterns and number patterns and identify the rule. Number and Operations in Base Ten Number and Operations - Fractions Measurement and Data 4.MD.1 I can identify units of measurement, convert larger units of measurement into smaller units of measurement and create a conversion table showing equivalent units of measurement. 4.MD.2 I can determine which operation to use when solving word problems involving measurement. 4.MD.3 I can use the formulas for area and perimeter to solve problems.

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