Subjects
Shows
Write opinion pieces on topics or texts, supporting a point of view with reasons and information.
Write routinely over extended time frames (time for research, reflection, and revision) and shorter time frames (a single sitting or [...]
Introduce a topic or text clearly, state an opinion, and create an organizational structure in which related ideas are grouped [...]
Link opinion and reasons using words and phrases (e.g., for instance, in order to, in addition).
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 [...]
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 [...]
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 [...]
Use place value understanding to round multi-digit whole numbers to any place. (Grade 4 expectations in this domain are limited [...]
Fluently add and subtract multi-digit whole numbers using the standard algorithm. (Grade 4 expectations in this domain are limited to [...]
Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using [...]
Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value, the [...]
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 [...]
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 [...]
Explain why a fraction a/b is equivalent to a fraction (n × a)/(n × b) by using visual fraction models, [...]
Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators, or by comparing to [...]
Understand a fraction a/b with a > 1 as a sum of fractions 1/b. (Grade 4 expectations in this domain [...]
Understand addition and subtraction of fractions as joining and separating parts referring to the same whole.
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 [...]
Subjects
Shows
Write opinion pieces on topics or texts, supporting a point of view with reasons and information.
Write routinely over extended time frames (time for research, reflection, and revision) and shorter time frames (a single sitting or [...]
Introduce a topic or text clearly, state an opinion, and create an organizational structure in which related ideas are grouped [...]
Link opinion and reasons using words and phrases (e.g., for instance, in order to, in addition).
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 [...]
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 [...]
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 [...]
Use place value understanding to round multi-digit whole numbers to any place. (Grade 4 expectations in this domain are limited [...]
Fluently add and subtract multi-digit whole numbers using the standard algorithm. (Grade 4 expectations in this domain are limited to [...]
Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using [...]
Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value, the [...]
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 [...]
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 [...]
Explain why a fraction a/b is equivalent to a fraction (n × a)/(n × b) by using visual fraction models, [...]
Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators, or by comparing to [...]
Understand a fraction a/b with a > 1 as a sum of fractions 1/b. (Grade 4 expectations in this domain [...]
Understand addition and subtraction of fractions as joining and separating parts referring to the same whole.
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 [...]
