Grade 4 Math

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Place Value (Thousands/Millions)

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Multiply By 1 or 2 Digits

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Divide By One Digit

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Multiples

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Factors

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Proper Fractions

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Equivalent Fractions

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Improper/Mixed Fractions

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Place Value (Tenths/Hundredths)

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Angles

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Shapes

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Time

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Measurement

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Data

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Common Core Standards

OA — Operations & Algebraic Thinking

Use the four operations with whole numbers to solve problems.
  • 4.OA.1Interpret a multiplication equation as a comparison, e.g., interpret 35 = 5 × 7 as a statement that 35 is 5 times as many as 7 and 7 times as many as 5.
  • 4.OA.2Multiply or divide to solve word problems involving multiplicative comparison, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem, distinguishing multiplicative comparison from additive comparison.
  • 4.OA.3Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations, including problems in which remainders must be interpreted.
Gain familiarity with factors and multiples.
  • 4.OA.4Find all factor pairs for a whole number in the range 1–100. Recognize that a whole number is a multiple of each of its factors. Determine whether a given whole number in the range 1–100 is a multiple of a given one-digit number. Determine whether a given whole number in the range 1–100 is prime or composite.
Generate and analyze patterns.
  • 4.OA.5Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself.

NBT — Number & Operations in Base Ten

Generalize place value understanding for multi-digit whole numbers.
  • 4.NBT.1Recognize 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.2Read 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.
  • 4.NBT.3Use place value understanding to round multi-digit whole numbers to any place.
Use place value understanding and properties of operations to perform multi-digit arithmetic.
  • 4.NBT.4Fluently add and subtract multi-digit whole numbers using the standard algorithm.
  • 4.NBT.5Multiply 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.
  • 4.NBT.6Find 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.

NF — Number & Operations—Fractions

Extend understanding of fraction equivalence and ordering.
  • 4.NF.1Explain 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.
  • 4.NF.2Compare 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.
Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.
  • 4.NF.3Understand a fraction a/b with a > 1 as a sum of fractions 1/b.
  • 4.NF.4Apply and extend previous understandings of multiplication to multiply a fraction by a whole number.
Understand decimal notation for fractions, and compare decimal fractions.
  • 4.NF.5Express 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.
  • 4.NF.6Use decimal notation for fractions with denominators 10 or 100.
  • 4.NF.7Compare two decimals to hundredths by reasoning about their size. Recognize that comparisons are valid only when the two decimals refer to the same whole.

MD — Measurement & Data

Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit.
  • 4.MD.1Know 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 of a smaller unit.
  • 4.MD.2Use 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.
  • 4.MD.3Apply the area and perimeter formulas for rectangles in real world and mathematical problems.
Represent and interpret data.
  • 4.MD.4Make 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.
Geometric measurement: understand concepts of angle and measure angles.
  • 4.MD.5Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand concepts of angle measurement.
  • 4.MD.6Measure angles in whole-number degrees using a protractor. Sketch angles of specified measure.
  • 4.MD.7Recognize 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.

G — Geometry

Draw and identify lines and angles, and classify shapes by properties of their lines and angles.
  • 4.G.1Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two-dimensional figures.
  • 4.G.2Classify 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.
  • 4.G.3Recognize 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.