Subjects
Shows
Write opinion pieces on topics or texts, supporting a point of view with reasons and information.
By the end of year, read and comprehend informational texts, including history/social studies, science, and technical texts, in the grades [...]
Write routinely over extended time frames (time for research, reflection, and revision) and shorter time frames (a single sitting or [...]
Refer to details and examples in a text when explaining what the text says explicitly and when drawing inferences from [...]
By the end of the year, read and comprehend literature, including stories, dramas, and poetry, in the grades 4–5 text [...]
Determine a theme of a story, drama, or poem from details in the text; summarize the text.
Describe in depth a character, setting, or event in a story or drama, drawing on specific details in the text [...]
Determine the meaning of words and phrases as they are used in a text, including those that allude to significant [...]
Explain major differences between poems, drama, and prose, and refer to the structural elements of poems (e.g., verse, rhythm, meter) [...]
Compare and contrast the point of view from which different stories are narrated, including the difference between first- and third-person [...]
Make connections between the text of a story or drama and a visual or oral presentation of the text, identifying [...]
Compare and contrast the treatment of similar themes and topics (e.g., opposition of good and evil) and patterns of events [...]
Refer to details and examples in a text when explaining what the text says explicitly and when drawing inferences from [...]
Understand a multiple of a/b as a multiple of 1/b, and use this understanding to multiply a fraction by a [...]
Solve word problems involving multiplication of a fraction by a whole number, e.g., by using visual fraction models and equations [...]
Express a fraction with denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two [...]
Use decimal notation for fractions with denominators 10 or 100. For example, rewrite 0.62 as 62/100 ; describe a length [...]
Compare two decimals to hundredths by reasoning about their size. Recognize that comparisons comparisons are valid only when two decimals [...]
Decompose a fraction into a sum of fractions with the same denominator in more than one way, recording each decomposition [...]
Add and subtract mixed numbers with like denominators, e.g., by replacing each mixed number with an equivalent fraction, and/or by [...]
Solve word problems involving addition and subtraction of fractions referring to the same whole and having like denominators, e.g., by [...]
Apply and extend previous understandings of multiplication to multiply a fraction by a whole number. (Grade 4 expectations in this [...]
Understand a fraction a/b as a multiple of 1/b. For example, use a visual fraction model to represent 5/4 as [...]
An angle is measured with reference to a circle with its center at the common endpoint of the rays, by [...]
An angle that turns through n one-degree angles is said to have an angle measure of n degrees.
Measure angles in whole-number degrees using a protractor. Sketch angles of specified measure.
Recognize angle measure as additive. When an angle is decomposed into non-overlapping parts, the angle measure of the whole is [...]
Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two-dimensional figures.
Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or the presence or absence of [...]
Recognize a line of symmetry for a two-dimensional figure as a line across the figure such that the figure can [...]
Use place value understanding to round multi-digit whole numbers to any place. (Grade 4 expectations in this domain are limited [...]
Explain why a fraction a/b is equivalent to a fraction (n × a)/(n × b) by using visual fraction models, [...]
Fluently add and subtract multi-digit whole numbers using the standard algorithm. (Grade 4 expectations in this domain are limited to [...]
Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators, or by comparing to [...]
Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using [...]
Understand a fraction a/b with a > 1 as a sum of fractions 1/b. (Grade 4 expectations in this domain [...]
Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value, the [...]
Understand addition and subtraction of fractions as joining and separating parts referring to the same whole.
Know relative sizes of measurement units within one system of units including km, m, cm; kg, g; lb, oz.; l, [...]
Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money, [...]
Apply the area and perimeter formulas for rectangles in real world and mathematical problems. For example, find the width of [...]
Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Solve [...]
Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand concepts of angle [...]
Interpret a multiplication equation as a comparison, e.g., interpret 35 = 5 x 7 as a statement that 35 is [...]
Multiply or divide to solve word problems involving multiplicative comparison, e.g., by using drawings and equations with a symbol for [...]
Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations, including problems in which [...]
Find all factor pairs for a whole number in the range 1-100. Recognize that a whole number is a multiple [...]
Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not [...]
Recognize that in a multi-digit whole number, a digit in one place represents ten times what it represents in the [...]
Read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form. Compare two multi-digit numbers based on [...]
Subjects
Shows
Write opinion pieces on topics or texts, supporting a point of view with reasons and information.
By the end of year, read and comprehend informational texts, including history/social studies, science, and technical texts, in the grades [...]
Write routinely over extended time frames (time for research, reflection, and revision) and shorter time frames (a single sitting or [...]
Refer to details and examples in a text when explaining what the text says explicitly and when drawing inferences from [...]
By the end of the year, read and comprehend literature, including stories, dramas, and poetry, in the grades 4–5 text [...]
Determine a theme of a story, drama, or poem from details in the text; summarize the text.
Describe in depth a character, setting, or event in a story or drama, drawing on specific details in the text [...]
Determine the meaning of words and phrases as they are used in a text, including those that allude to significant [...]
Explain major differences between poems, drama, and prose, and refer to the structural elements of poems (e.g., verse, rhythm, meter) [...]
Compare and contrast the point of view from which different stories are narrated, including the difference between first- and third-person [...]
Make connections between the text of a story or drama and a visual or oral presentation of the text, identifying [...]
Compare and contrast the treatment of similar themes and topics (e.g., opposition of good and evil) and patterns of events [...]
Refer to details and examples in a text when explaining what the text says explicitly and when drawing inferences from [...]
Understand a multiple of a/b as a multiple of 1/b, and use this understanding to multiply a fraction by a [...]
Solve word problems involving multiplication of a fraction by a whole number, e.g., by using visual fraction models and equations [...]
Express a fraction with denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two [...]
Use decimal notation for fractions with denominators 10 or 100. For example, rewrite 0.62 as 62/100 ; describe a length [...]
Compare two decimals to hundredths by reasoning about their size. Recognize that comparisons comparisons are valid only when two decimals [...]
Decompose a fraction into a sum of fractions with the same denominator in more than one way, recording each decomposition [...]
Add and subtract mixed numbers with like denominators, e.g., by replacing each mixed number with an equivalent fraction, and/or by [...]
Solve word problems involving addition and subtraction of fractions referring to the same whole and having like denominators, e.g., by [...]
Apply and extend previous understandings of multiplication to multiply a fraction by a whole number. (Grade 4 expectations in this [...]
Understand a fraction a/b as a multiple of 1/b. For example, use a visual fraction model to represent 5/4 as [...]
An angle is measured with reference to a circle with its center at the common endpoint of the rays, by [...]
An angle that turns through n one-degree angles is said to have an angle measure of n degrees.
Measure angles in whole-number degrees using a protractor. Sketch angles of specified measure.
Recognize angle measure as additive. When an angle is decomposed into non-overlapping parts, the angle measure of the whole is [...]
Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two-dimensional figures.
Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or the presence or absence of [...]
Recognize a line of symmetry for a two-dimensional figure as a line across the figure such that the figure can [...]
Use place value understanding to round multi-digit whole numbers to any place. (Grade 4 expectations in this domain are limited [...]
Explain why a fraction a/b is equivalent to a fraction (n × a)/(n × b) by using visual fraction models, [...]
Fluently add and subtract multi-digit whole numbers using the standard algorithm. (Grade 4 expectations in this domain are limited to [...]
Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators, or by comparing to [...]
Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using [...]
Understand a fraction a/b with a > 1 as a sum of fractions 1/b. (Grade 4 expectations in this domain [...]
Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value, the [...]
Understand addition and subtraction of fractions as joining and separating parts referring to the same whole.
Know relative sizes of measurement units within one system of units including km, m, cm; kg, g; lb, oz.; l, [...]
Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money, [...]
Apply the area and perimeter formulas for rectangles in real world and mathematical problems. For example, find the width of [...]
Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Solve [...]
Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand concepts of angle [...]
Interpret a multiplication equation as a comparison, e.g., interpret 35 = 5 x 7 as a statement that 35 is [...]
Multiply or divide to solve word problems involving multiplicative comparison, e.g., by using drawings and equations with a symbol for [...]
Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations, including problems in which [...]
Find all factor pairs for a whole number in the range 1-100. Recognize that a whole number is a multiple [...]
Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not [...]
Recognize that in a multi-digit whole number, a digit in one place represents ten times what it represents in the [...]
Read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form. Compare two multi-digit numbers based on [...]