Fourth Grade Math Standards Flashcards

1
Q

4.OA.1

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Fourth Grade Operations and Algebraic Thinking #1 Interpret a multiplication equation as a comparison (for example, interpret 35 = 5 x 7 as a statement that 35 is 5 times as many as 7 and 7 times as many as 5). Represent verbal statements of multiplicative comparisons as multiplication equations.

EX. Threatened and Endangered

https://tasks.illustrativemathematics.org/content-standards/4/OA/A/1/tasks/1809

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2
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4.OA.2

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Fourth Grade Operations and Algebraic Thinking #2 Multiply or divide to solve word problems involving multiplicative comparison, for example, by using drawings and equations with a symbol for the unknown number to represent the problem, distinguishing multiplicative comparison from additive comparison.

EX. Comparing Money Raised

https://tasks.illustrativemathematics.org/content-standards/4/OA/A/2/tasks/263

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3
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4.OA.3

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Fourth Grade Operations and Algebraic Thinking #3 Solve multi-step word problems posed with whole numbers and having whole-number answers using the four operations, including problems in which remainders must be interpreted. a. Represent these problems using equations with a letter standing for the unknown quantity. b. Assess the reasonableness of answers using mental computation and estimation strategies, including rounding.

EX. Carnival Tickets

https://tasks.illustrativemathematics.org/content-standards/4/OA/A/3/tasks/1289

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4
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4.OA.4

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Fourth Grade Operations and Algebraic Thinking #4 Find 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.

EX. Identifying Multiples

https://tasks.illustrativemathematics.org/content-standards/4/OA/B/tasks/959

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5
Q

4.OA.5

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Fourth Grade Operations and Algebraic Thinking #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.

EX. Doubles Plus One

https://tasks.illustrativemathematics.org/content-standards/4/OA/C/5/tasks/487

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6
Q

4.NBT.1

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Fourth Grade Number and Operations in Base Ten #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. For example, recognize that 700 ÷ 70 = 10 by applying concepts of place value and division.

EX. Threatened and Endangered

https://tasks.illustrativemathematics.org/content-standards/4/OA/A/1/tasks/1809

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7
Q

4.NBT.2

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Fourth Grade Number and Operations in Base Ten #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.

EX. Ordering four digit numbers

https://tasks.illustrativemathematics.org/content-standards/4/NBT/A/2/tasks/459

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8
Q

4.NBT.3

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Fourth Grade Number and Operations in Base Ten #3 Use place value understanding to round multi-digit whole numbers to any place.

EX. rounding to the nearest 100 or 1000

https://tasks.illustrativemathematics.org/content-standards/3/NBT/A/1/tasks/1806

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9
Q

4.NBT.4

A

Fourth Grade Number and Operations in Base Ten #4 Fluently add and subtract multi-digit whole numbers using the standard algorithm.

EX. To Regroup or not to Regroup

https://tasks.illustrativemathematics.org/content-standards/4/NBT/B/tasks/1189

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10
Q

4.NBT.5

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Fourth Grade Number and Operations in Base Ten #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.

EX. Thousands and Millions of Fourth Graders

https://tasks.illustrativemathematics.org/content-standards/4/OA/A/1/tasks/1808

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11
Q

4.NBT.6

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Fourth Grade Number and Operations in Base Ten #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.

EX. Spy Game

http://www.shodor.org/interactivate/lessons/SpyGame/

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12
Q

4.NF.1

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Fourth Grade Number and Operations - Fractions #1 Explain why a fraction a/b is equivalent to a fraction (n x a)/(n x 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.

EX. Comparing Fractions with Lines

http://www.shodor.org/interactivate/lessons/ComparingFractions/

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13
Q

4.NF.2

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Fourth Grade Number and Operations - Fractions #2 Compare two fractions with different numerators and different denominators, for example, 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

EX. Doubling Numerators and denominators

https://tasks.illustrativemathematics.org/content-standards/4/NF/A/2/tasks/183

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14
Q

4.NF.3

A

Fourth Grade Number and Operations - Fractions #3 Understand a fraction a/b with a >1 as a sum of fractions 1/b. In other words, any fraction is a sum of unit fractions. 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, for example, by using a visual fraction model. For example, 3/8 = 1/8 + 1/8 + 1/8; 3/8 = 1/8 + 2/8; 2 1/8 = 1 + 1 + 1/8; 2 1/8 = 8/8 + 8/8 + 1/8. c. Add and subtract mixed numbers with like denominators, for example, by replacing each mixed number with an equivalent fraction, and/or by using properties of operations and the relationship between addition and subtraction. For example, 3 1/4 + 2 1/4 = 13/4 + 9/4 = 22/4; 3 1/4 + 2 1/4 = (3+ 2) + (1/4 + 1/4) = 5 + 2/4 = 5 2/4, which is equivalent to 22/4. d. Solve word problems involving addition and subtraction of fractions referring to the same whole and having like denominators, for example, by using visual fraction models and equations to represent the problem.

EX. comparing sums of unit fractions

https://tasks.illustrativemathematics.org/content-standards/4/NF/B/3/tasks/831

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15
Q

4.NF.4

A

Fourth Grade Number and Operations - Fractions #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/b. For example, use a visual fraction model to represent 5/4 as the product 5 x (1/4), recording the conclusion by the equation 5/4 = 5 x (1/4). 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. For example, use a visual fraction model to express 3 x (2/5) as 6 x (1/5), recognizing this product as 6/5. (In general, n x (a/b) = (n x a)/b). c. Solve word problems involving multiplication of a fraction by a whole number (for example, by using visual fraction models and equations to represent the problem). For example, if each person at a party will eat 3/8 of a pound of roast beef, and there will be five people at the party, how many pounds of roast beef will be needed? Between what two whole numbers does your answer lie?

EX. Comparing Two Different Pizzas

https://tasks.illustrativemathematics.org/content-standards/4/NF/B/tasks/819

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16
Q

4.NF.5

A

Fourth Grade Number and Operations - Fractions #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 3/10 as 30/100, and add 3/10 + 4/100 = 34/100.

EX. Fraction Equivalence

https://tasks.illustrativemathematics.org/content-standards/4/NF/C/5/tasks/154

17
Q

4.NF.6

A

Fourth Grade Number and Operations - Fractions #6 Use decimal notation for fractions with denominators 10 or 100. For example, rewrite 0.62 as 62/100, describe a length as 0.62 meters; locate 0.62 on a number line diagram.

EX. Dimes and Pennies

https://tasks.illustrativemathematics.org/content-standards/4/NF/C/5/tasks/152

18
Q

4.NF.7

A

Fourth Grade Number and Operations - Fractions #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. Record the results of comparisons with the symbols >, =, or

EX. expanded fractions and decimals

19
Q

4.MD.1

A

Fourth Grade Measurement and Data #1 Know relative sizes of measurement units within each system of units (standard and metric), including kilometers, meters, and centimeters; liters and milliliters; kilograms and grams; pounds and ounces; hours, minutes, and seconds. Within a single system of measurement, express measurements in a larger unit in terms of a smaller unit. Record measurement equivalents in a two-column table. For example, know that one foot is 12 times as long as one inch. Express the length of a four-foot snake as 48 inches. Know that one meter is 100 times as long as one centimeter. Generate a conversion table for feet and inches listing the number pairs (1, 12), (2, 24), (3, 36)…

EX. Who is the tallest?

https://tasks.illustrativemathematics.org/content-standards/4/MD/A/1/tasks/1508

20
Q

4.MD.2

A

Fourth Grade Measurement and Data #2 Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money. a. Include problems involving simple fractions or decimals, and problems that require expressing measurements given in a larger unit in terms of a smaller unit. b. Represent measurement quantities using diagrams such as number line diagrams that feature a measurement scale.

EX. Maggie Buys Apples

https://tasks.illustrativemathematics.org/content-standards/4/MD/A/2/tasks/873

21
Q

4.MD.3

A

Fourth Grade Measurement and Data #3 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.

EX. Karl’s garden

https://tasks.illustrativemathematics.org/content-standards/4/OA/A/3/tasks/876

22
Q

4.MD.4

A

Fourth Grade Measurement and Data #4 Make a line plot to display a data set of measurements in fractions of a unit (halves, quarters, and eighths). Solve problems involving addition and subtraction with like denominators of fractions by using information presented in line plots. For example, use a line plot to find and interpret the difference in length between the longest and shortest pencils in a classroom.

EX. Button Diameters

https://tasks.illustrativemathematics.org/content-standards/4/MD/B/4/tasks/1039

23
Q

4.MD.5

A

Fourth Grade Measurement and Data #5 Recognize angles as geometric figures that are formed wherever two rays share a common endpoint, and understand concepts of angle measurement. 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. An angle that turns through 1/360 of a circle is called a “one-degree angle,” and can be used to measure other angles. b. Understand that an angle that turns through n one-degree angles is said to have an angle measure of n degrees.

EX. Findind an Unknown Angle

https://tasks.illustrativemathematics.org/content-standards/4/MD/C/7/tasks/1168

24
Q

4.MD.6

A

Fourth Grade Measurement and Data #6 Measure angles in whole-number degrees using a protractor. Sketch angles of specified measure.

EX. measuring angles

https://tasks.illustrativemathematics.org/content-standards/4/MD/C/6/tasks/909

25
Q

4.MD.7

A

Fourth Grade Measurement and Data #7 Recognize angle measure as additive. a. Understand that 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. b. Solve addition and subtraction problems to find unknown angles on a diagram in real-world and mathematical problems, for example by using an equation with a symbol for the unknown angle measure.

EX. Finding and Unkown Angle

https://tasks.illustrativemathematics.org/content-standards/4/MD/C/7/tasks/1168

26
Q

4.G.1

A

Fourth Grade Geometry #1 Draw points, lines, line segments, rays, angles (right, acute, and obtuse), and perpendicular and parallel lines. Identify these in two-dimensional figures.

EX. Geometry of Letters

https://tasks.illustrativemathematics.org/content-standards/4/G/A/1/tasks/1263

27
Q

4.G.2

A

Fourth Grade Geometry #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.

EX. Are These Right?:

https://tasks.illustrativemathematics.org/content-standards/4/G/A/2/tasks/1273

28
Q

4.G.3

A

Fourth Grade Geometry #3 Recognize a line of symmetry for a two dimensional figure as a line accross the figure such that the figure can be folded along the line into matching parts. Identify line symmetric figures and draw lines of symmetry.

EX. Finding Lines of Symmetry

https://tasks.illustrativemathematics.org/content-standards/4/G/A/3/tasks/676