4th Grade

Choose a Domain and Select a Standard:

GGeometry Standards
GGeometry Standards
Geometry Logo. Includes four pictures of solids on an orange background.
Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two-dimensional figures.
G.1.1
Geometry Logo. Includes four pictures of solids on an orange background.
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.
G.1.2
Geometry Logo. Includes four pictures of solids on an orange background.
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.
G.1.3
MDMeasurement and Data Standards
MDMeasurement and Data Standards
Measurement and Data Logo. Includes a measuring tape symbol on a green background.
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 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), ...
MD.1.1
Measurement and Data Logo. Includes a measuring tape symbol on a green background.
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. For example, from a line plot find and interpret the difference in length between the longest and shortest specimens in an insect collection.
MD.2.4
Measurement and Data Logo. Includes a measuring tape symbol on a green background.
Measure angles in whole-number degrees using a protractor. Sketch angles of specified measure.
MD.3.6
Measurement and Data Logo. Includes a measuring tape symbol on a green background.
Use the four operations to solve word problems involving distances, intervals of time, and money, including problems involving simple fractions or decimals. Represent fractional quantities of distance and intervals of time using linear models. (Note: Computational fluency with fractions and decimals is not the goal for students at this grade level.)
MD.1.2
Measurement and Data Logo. Includes a measuring tape symbol on a green background.
Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand concepts of angle measurement: a. 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 angles.
MD.3.5.a
Measurement and Data Logo. Includes a measuring tape symbol on a green background.
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 angles on a diagram in real world and mathematical problems, e.g., by using an equation with a symbol for the unknown angle measure.
MD.3.7
Measurement and Data Logo. Includes a measuring tape symbol on a green background.
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.
MD.1.3
Measurement and Data Logo. Includes a measuring tape symbol on a green background.
Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand concepts of angle measurement: b. An angle that turns through n one-degree angles is said to have an angle measure of n degrees.
MD.3.5.b
NBTNumbers and Operations in Base Ten Standards
NBTNumbers and Operations in Base Ten Standards
Numbers and Base Ten Logo
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.
NBT.1.1
Numbers and Base Ten Logo
Fluently add and subtract multi-digit whole numbers using the standard algorithm.
NBT.2.4
Numbers and Base Ten Logo
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 greater than, equal to, and less than symbols to record the results of comparisons.
NBT.1.2
Numbers and Base Ten Logo
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.
NBT.2.5
Numbers and Base Ten Logo
Use place value understanding to round multi-digit whole numbers to any place.
NBT.1.3
Numbers and Base Ten Logo
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.
NBT.2.6
NFNumbers and Operations - Fraction Standards
NFNumbers and Operations - Fraction Standards
Fractions Logo. Includes a pie chart on a pink background.
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.
NF.1.1
Fractions Logo. Includes a pie chart on a pink background.
Understand a fraction a/b with a being greater than 1 as a sum of fractions 1/b. 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, e.g., by using a visual fraction model. Examples: 3/8 = 1/8 + 1/8 + 1/8 ; 3/8 = 1/8 + 2/8 ; 2 1/8 = 1 + 1 + 1/8 = 8/8 + 8/8 + 1/8.
NF.2.3.b
Fractions Logo. Includes a pie chart on a pink background.
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 × (1/4), recording the conclusion by the equation 5/4 = 5 × (1/4).
NF.2.4.a
Fractions Logo. Includes a pie chart on a pink background.
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.
NF.3.5
Fractions Logo. Includes a pie chart on a pink background.
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 greater than, equal to, or less than symbols, and justify the conclusions, e.g., by using a visual fraction model.
NF.1.2
Fractions Logo. Includes a pie chart on a pink background.
Understand a fraction a/b with a being greater than 1 as a sum of fractions 1/b. c. Add and subtract mixed numbers with like denominators, e.g., by replacing each mixed number with an equivalent fraction, and/or by using properties of operations and the relationship between addition and subtraction.
NF.2.3.c
Fractions Logo. Includes a pie chart on a pink background.
Apply and extend previous understandings of multiplication to multiply a fraction by a whole number. 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 × (2/5) as 6 × (1/5), recognizing this product as 6/5. (In general, n × (a/b) = (n × a)/b.)
NF.2.4.b
Fractions Logo. Includes a pie chart on a pink background.
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.
NF.3.6
Fractions Logo. Includes a pie chart on a pink background.
Understand a fraction a/b with a being greater than 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.
NF.2.3.a
Fractions Logo. Includes a pie chart on a pink background.
Understand a fraction a/b with a being greater than 1 as a sum of fractions 1/b. d. Solve word problems involving addition and subtraction of fractions referring to the same whole and having like denominators, e.g., by using visual fraction models and equations to represent the problem.
NF.2.3.d
Fractions Logo. Includes a pie chart on a pink background.
Apply and extend previous understandings of multiplication to multiply a fraction by a whole number. c. Solve word problems involving multiplication of a fraction by a whole number, e.g., 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 5 people at the party, how many pounds of roast beef will be needed? Between what two whole numbers does your answer lie?
NF.2.4.c
Fractions Logo. Includes a pie chart on a pink background.
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 greater than, equal to, or less than symbols, and justify the conclusions, e.g., by using a visual model.
NF.3.7
OA Operations and Algebraic Thinking Standards
OA Operations and Algebraic Thinking Standards
Operations and Algebraic Thinking Logo. Includes symbols for add, subtract, multiply, divide on a blue background.
Interpret 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. Represent verbal statements of multiplicative comparisons as multiplication equations.
OA.1.1
Operations and Algebraic Thinking Logo. Includes symbols for add, subtract, multiply, divide on a blue background.
Determine whether an equation is true or false by using comparative relational thinking. For example, without adding 60 and 24, determine whether the equation 60 + 24 = 57 + 27 is true or false.
OA.1.a
Operations and Algebraic Thinking Logo. Includes symbols for add, subtract, multiply, divide on a blue background.
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.
OA.3.5
Operations and Algebraic Thinking Logo. Includes symbols for add, subtract, multiply, divide on a blue background.
Multiply 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.
OA.1.2
Operations and Algebraic Thinking Logo. Includes symbols for add, subtract, multiply, divide on a blue background.
Determine the unknown whole number in an equation relating four whole numbers using comparative relational thinking. For example, solve 76 + 9 = n + 5 for n by arguing that nine is four more than five, so the unknown number must be four greater than 76.
OA.1.b
Operations and Algebraic Thinking Logo. Includes symbols for add, subtract, multiply, divide on a blue background.
Investigate factors and multiples. b. 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.
OA.2.4.b
Operations and Algebraic Thinking Logo. Includes symbols for add, subtract, multiply, divide on a blue background.
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 the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding.
OA.1.3
Operations and Algebraic Thinking Logo. Includes symbols for add, subtract, multiply, divide on a blue background.
Investigate factors and multiples. a. Find all factor pairs for a whole number in the range 1–100.
OA.2.4.a
Operations and Algebraic Thinking Logo. Includes symbols for add, subtract, multiply, divide on a blue background.
Investigate factors and multiples. c. Determine whether a given whole number in the range 1–100 is prime or composite.
OA.2.4.c
Additional Course Resources
Additional Course Resources
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FAIM Assessment Form 1A
FAIM Form 1A
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FAIM Assessment Form 2B
FAIM Form 2B
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FAIM Answer Key Form 2A
FAIM Answer Key 2A
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FAIM Assessment Form 1B
FAIM Form 1B
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FAIM Answer Key Form 1A
FAIM Answer Key 1A
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FAIM Answer Key Form 2B
FAIM Answer Key 2B
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FAIM Assessment Form 2A
FAIM Form 2A
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FAIM Answer Key Form 1B
FAIM Answer Key 1B
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Click to access several fraction videos to help with fraction instruction.
Fraction Video Resources