Standards: Math
CCSS.MATH.CONTENT.4.MD.4
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Education Level: 4
Represent and interpret data.
Description:
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.
CCSS.MATH.CONTENT.4.MD.5
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Education Level: 4
Geometric measurement: understand concepts of angle and measure angles.
Description:
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.
-- b. An angle that turns through n one-degree angles is said to have an angle measure of n degrees.
CCSS.MATH.CONTENT.4.MD.6
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Education Level: 4
Geometric measurement: understand concepts of angle and measure angles.
Description:
Measure angles in whole-number degrees using a protractor. Sketch angles of specified measure.
CCSS.MATH.CONTENT.4.MD.7
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Education Level: 4
Geometric measurement: understand concepts of angle and measure angles.
Description:
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.
CCSS.MATH.CONTENT.4.NBT.1
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Education Level: 4
Generalize place value understanding for multi-digit whole numbers.
Description:
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. (Grade 4 expectations in this domain are limited to whole numbers less than or equal to 1,000,000.)
CCSS.MATH.CONTENT.4.NBT.2
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Education Level: 4
Generalize place value understanding for multi-digit whole numbers.
Description:
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. (Grade 4 expectations in this domain are limited to whole numbers less than or equal to 1,000,000.)
CCSS.MATH.CONTENT.4.NBT.3
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Education Level: 4
Generalize place value understanding for multi-digit whole numbers.
Description:
Use place value understanding to round multi-digit whole numbers to any place. (Grade 4 expectations in this domain are limited to whole numbers less than or equal to 1,000,000.)
CCSS.MATH.CONTENT.4.NBT.4
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Education Level: 4
Use place value understanding and properties of operations to perform multi-digit arithmetic.
Description:
Fluently add and subtract multi-digit whole numbers using the standard algorithm. (Grade 4 expectations in this domain are limited to whole numbers less than or equal to 1,000,000. A range of algorithms may be used.)
CCSS.MATH.CONTENT.4.NBT.5
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Education Level: 4
Use place value understanding and properties of operations to perform multi-digit arithmetic.
Description:
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. (Grade 4 expectations in this domain are limited to whole numbers less than or equal to 1,000,000. A range of algorithms may be used.)
CCSS.MATH.CONTENT.4.NBT.6
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Education Level: 4
Use place value understanding and properties of operations to perform multi-digit arithmetic.
Description:
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. (Grade 4 expectations in this domain are limited to whole numbers less than or equal to 1,000,000. A range of algorithms may be used.)
CCSS.MATH.CONTENT.4.NF.1
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Education Level: 4
Extend understanding of fraction equivalence and ordering.
Description:
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. (Grade 4 expectations in this domain are limited to fractions with denominators 2, 3, 4, 5, 6, 8, 10, 12, and 100.)
CCSS.MATH.CONTENT.4.NF.2
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Education Level: 4
Extend understanding of fraction equivalence and ordering.
Description:
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, e.g., by using a visual fraction model. (Grade 4 expectations in this domain are limited to fractions with denominators 2, 3, 4, 5, 6, 8, 10, 12, and 100.)
CCSS.MATH.CONTENT.4.NF.3
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Education Level: 4
Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.
Description:
Understand a fraction a/b with a > 1 as a sum of fractions 1/b. (Grade 4 expectations in this domain are limited to fractions with denominators 2, 3, 4, 5, 6, 8, 10, 12, and 100.)
CCSS.MATH.CONTENT.4.NF.3a
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Education Level: 4
Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.
Description:
Understand addition and subtraction of fractions as joining and
CCSS.MATH.CONTENT.4.NF.3b
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Education Level: 4
Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.
Description:
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.