# Common Core State Standards

• Math
• Content
• Kindergarten
• Operations And Algebraic Thinking
• Represent And Solve Problems Involving Addition And Subtraction.
• 1.OA.1
Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem.2
228
Examples
• 1.OA.2
Solve word problems that call for addition of three whole numbers whose sum is less than or equal to 20, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem.
11
Examples
• Understand And Apply Properties Of Operations And The Relationship Between Addition And Subtraction.
• 1.OA.3
Apply properties of operations as strategies to add and subtract.3 Examples: If 8 + 3 = 11 is known, then 3 + 8 = 11 is also known. (Commutative property of addition.) To add 2 + 6 + 4, the second two numbers can be added to make a ten, so 2 + 6 + 4 = 2 + 10 = 12. (Associative property of addition.)
7
Examples
• Add And Subtract Within 20.
• 1.OA.5
Relate counting to addition and subtraction (e.g., by counting on 2 to add 2).
33
Examples
• 1.OA.6
Add and subtract within 20, demonstrating fluency for addition and subtraction within 10. Use strategies such as counting on; making ten (e.g., 8 + 6 = 8 + 2 + 4 = 10 + 4 = 14); decomposing a number leading to a ten (e.g., 13 - 4 = 13 - 3 - 1 = 10 - 1 = 9); using the relationship between addition and subtraction (e.g., knowing that 8 + 4 = 12, one knows 12 - 8 = 4); and creating equivalent but easier or known sums (e.g., adding 6 + 7 by creating the known equivalent 6 + 6 + 1 = 12 + 1 = 13).
87
Examples
• Work With Addition And Subtraction Equations.
• 1.OA.7
Understand the meaning of the equal sign, and determine if equations involving addition and subtraction are true or false. For example, which of the following equations are true and which are false? 6 = 6, 7 = 8 - 1, 5 + 2 = 2 + 5, 4 + 1 = 5 + 2.
69
Examples
• 1.OA.8
Determine the unknown whole number in an addition or subtraction equation relating three whole numbers. For example, determine the unknown number that makes the equation true in each of the equations 8 + ? = 11, 5 = _ - 3, 6 + 6 = _.
35
Examples
• Number And Operations In Base Ten
• Extend The Counting Sequence.
• 1.NBT.1
Count to 120, starting at any number less than 120. In this range, read and write numerals and represent a number of objects with a written numeral.
71
Examples
• Understand Place Value.
• 1.NBT.2
Understand that the two digits of a two-digit number represent amounts of tens and ones. Understand the following as special cases:
39
Examples
• 1.NBT.2.b
The numbers from 11 to 19 are composed of a ten and one, two, three, four, five, six, seven, eight, or nine ones.
18
Examples
• 1.NBT.3
Compare two two-digit numbers based on meanings of the tens and ones digits, recording the results of comparisons with the symbols >, =, and <.
9
Examples
• Use Place Value Understanding And Properties Of Operations To Add And Subtract.
• 1.NBT.4
Add within 100, including adding a two-digit number and a one-digit number, and adding a two-digit number and a multiple of 10, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. Understand that in adding two-digit numbers, one adds tens and tens, ones and ones; and sometimes it is necessary to compose a ten.
60
Examples
• 1.NBT.5
Given a two-digit number, mentally find 10 more or 10 less than the number, without having to count; explain the reasoning used.
19
Examples
• 1.NBT.6
Subtract multiples of 10 in the range 10-90 from multiples of 10 in the range 10-90 (positive or zero differences), using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used.
9
Examples
• Measurement And Data
• Measure Lengths Indirectly And By Iterating Length Units.
• 1.MD.1
Order three objects by length; compare the lengths of two objects indirectly by using a third object.
12
Examples
• 1.MD.2
Express the length of an object as a whole number of length units, by laying multiple copies of a shorter object (the length unit) end to end; understand that the length measurement of an object is the number of same-size length units that span it with no gaps or overlaps. Limit to contexts where the object being measured is spanned by a whole number of length units with no gaps or overlaps.
1
Examples
• Tell And Write Time.
• 1.MD.3
Tell and write time in hours and half-hours using analog and digital clocks.
10
Examples
• Represent And Interpret Data.
• 1.MD.4
Organize, represent, and interpret data with up to three categories; ask and answer questions about the total number of data points, how many in each category, and how many more or less are in one category than in another.
72
Examples
• Geometry
• Reason With Shapes And Their Attributes.
• 1.G.1
Distinguish between defining attributes (e.g., triangles are closed and three-sided) versus non-defining attributes (e.g., color, orientation, overall size); build and draw shapes to possess defining attributes.
31
Examples
• 1.G.2
Compose two-dimensional shapes (rectangles, squares, trapezoids, triangles, half-circles, and quarter-circles) or three-dimensional shapes (cubes, right rectangular prisms, right circular cones, and right circular cylinders) to create a composite shape, and compose new shapes from the composite shape.4
3
Examples
• 1.G.3
Partition circles and rectangles into two and four equal shares, describe the shares using the words halves, fourths, and quarters, and use the phrases half of, fourth of, and quarter of. Describe the whole as two of, or four of the shares. Understand for these examples that decomposing into more equal shares creates smaller shares.
6
Examples
• Operations And Algebraic Thinking
• Represent And Solve Problems Involving Addition And Subtraction.
• 2.OA.1
Use addition and subtraction within 100 to solve one- and two-step word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem.1
170
Examples
• Add And Subtract Within 20.
• 2.OA.2
Fluently add and subtract within 20 using mental strategies.2 By end of Grade 2, know from memory all sums of two one-digit numbers.
85
Examples
• Work With Equal Groups Of Objects To Gain Foundations For Multiplication.
• 2.OA.3
Determine whether a group of objects (up to 20) has an odd or even number of members, e.g., by pairing objects or counting them by 2s; write an equation to express an even number as a sum of two equal addends.
28
Examples
• 2.OA.4
Use addition to find the total number of objects arranged in rectangular arrays with up to 5 rows and up to 5 columns; write an equation to express the total as a sum of equal addends.
16
Examples
• Number And Operations In Base Ten
• Understand Place Value.
• 2.NBT.1
Understand that the three digits of a three-digit number represent amounts of hundreds, tens, and ones; e.g., 706 equals 7 hundreds, 0 tens, and 6 ones. Understand the following as special cases:
13
Examples
• 2.NBT.2
Count within 1000; skip-count by 5s, 10s, and 100s.
86
Examples
• 2.NBT.3
Read and write numbers to 1000 using base-ten numerals, number names, and expanded form.
102
Examples
• 2.NBT.4
Compare two three-digit numbers based on meanings of the hundreds, tens, and ones digits, using >, =, and < symbols to record the results of comparisons.
19
Examples
• Use Place Value Understanding And Properties Of Operations To Add And Subtract.
• 2.NBT.5
Fluently add and subtract within 100 using strategies based on place value, properties of operations, and/or the relationship between addition and subtraction.
82
Examples
• 2.NBT.7
Add and subtract within 1000, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method. Understand that in adding or subtracting three- digit numbers, one adds or subtracts hundreds and hundreds, tens and tens, ones and ones; and sometimes it is necessary to compose or decompose tens or hundreds.
52
Examples
• 2.NBT.8
Mentally add 10 or 100 to a given number 100-900, and mentally subtract 10 or 100 from a given number 100-900.
18
Examples
• Measurement And Data
• Measure And Estimate Lengths In Standard Units.
• 2.MD.1
Measure the length of an object by selecting and using appropriate tools such as rulers, yardsticks, meter sticks, and measuring tapes.
8
Examples
• 2.MD.3
Estimate lengths using units of inches, feet, centimeters, and meters.
8
Examples
• 2.MD.4
Measure to determine how much longer one object is than another, expressing the length difference in terms of a standard length unit.
3
Examples
• Relate Addition And Subtraction To Length.
• 2.MD.5
Use addition and subtraction within 100 to solve word problems involving lengths that are given in the same units, e.g., by using drawings (such as drawings of rulers) and equations with a symbol for the unknown number to represent the problem.
10
Examples
• 2.MD.6
Represent whole numbers as lengths from 0 on a number line diagram with equally spaced points corresponding to the numbers 0, 1, 2, ..., and represent whole-number sums and differences within 100 on a number line diagram.
44
Examples
• Work With Time And Money.
• 2.MD.7
Tell and write time from analog and digital clocks to the nearest five minutes, using a.m. and p.m.
11
Examples
• 2.MD.8
Solve word problems involving dollar bills, quarters, dimes, nickels, and pennies, using \$ and c symbols appropriately. Example: If you have 2 dimes and 3 pennies, how many cents do you have?
49
Examples
• Represent And Interpret Data.
• 2.MD.10
Draw a picture graph and a bar graph (with single-unit scale) to represent a data set with up to four categories. Solve simple put- together, take-apart, and compare problems4 using information presented in a bar graph.
24
Examples
• Geometry
• Reason With Shapes And Their Attributes.
• 2.G.1
Recognize and draw shapes having specified attributes, such as a given number of angles or a given number of equal faces.5 Identify triangles, quadrilaterals, pentagons, hexagons, and cubes.
43
Examples
• 2.G.2
Partition a rectangle into rows and columns of same-size squares and count to find the total number of them.
3
Examples
• 2.G.3
Partition circles and rectangles into two, three, or four equal shares, describe the shares using the words halves, thirds, half of, a third of, etc., and describe the whole as two halves, three thirds, four fourths. Recognize that equal shares of identical wholes need not have the same shape.
6
Examples
• Operations And Algebraic Thinking
• Represent And Solve Problems Involving Multiplication And Division.
• 3.OA.1
Interpret products of whole numbers, e.g., interpret 5 x 7 as the total number of objects in 5 groups of 7 objects each. For example, describe a context in which a total number of objects can be expressed as 5 x 7.
5
Examples
• 3.OA.3
Use multiplication and division within 100 to solve word problems in situations involving equal groups, arrays, and measurement quantities, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem.1
127
Examples
• 3.OA.4
Determine the unknown whole number in a multiplication or division equation relating three whole numbers. For example, determine the unknown number that makes the equation true in each of the equations 8 x ? = 48, 5 = _ / 3, 6 x 6 = ?.
33
Examples
• Understand Properties Of Multiplication And The Relationship Between Multiplication And Division.
• 3.OA.5
Apply properties of operations as strategies to multiply and divide.2 Examples: If 6 x 4 = 24 is known, then 4 x 6 = 24 is also known. (Commutative property of multiplication.) 3 x 5 x 2 can be found by 3 x 5 = 15, then 15 x 2 = 30, or by 5 x 2 = 10, then 3 x 10 = 30. (Associative property of multiplication.) Knowing that 8 x 5 = 40 and 8 x 2 = 16, one can find 8 x 7 as 8 x (5 + 2) = (8 x 5) + (8 x 2) = 40 + 16 = 56. (Distributive property.)
10
Examples
• Multiply And Divide Within 100.
• 3.OA.7
Fluently multiply and divide within 100, using strategies such as the relationship between multiplication and division (e.g., knowing that 8 x 5 = 40, one knows 40 / 5 = 8) or properties of operations. By the end of Grade 3, know from memory all products of two one-digit numbers.
37
Examples
• Solve Problems Involving The Four Operations, And Identify And Explain Patterns In Arithmetic.
• 3.OA.8
Solve two-step word problems using the four operations. 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.3
130
Examples
• 3.OA.9
Identify arithmetic patterns (including patterns in the addition table or multiplication table), and explain them using properties of operations. For example, observe that 4 times a number is always even, and explain why 4 times a number can be decomposed into two equal addends.
42
Examples
• Number And Operations In Base Ten
• Number And Operations-Fractions5
• Measurement And Data
• Geometry
• Reason With Shapes And Their Attributes.
• 3.G.1
Understand that shapes in different categories (e.g., rhombuses, rectangles, and others) may share attributes (e.g., having four sides), and that the shared attributes can define a larger category (e.g., quadrilaterals). Recognize rhombuses, rectangles, and squares as examples of quadrilaterals, and draw examples of quadrilaterals that do not belong to any of these subcategories.
10
Examples
• 3.G.2
Partition shapes into parts with equal areas. Express the area of each part as a unit fraction of the whole. For example, partition a shape into 4 parts with equal area, and describe the area of each part as 1/4 of the area of the shape.
21
Examples
• Operations And Algebraic Thinking
• Use The Four Operations With Whole Numbers To Solve Problems.
• 4.OA.2
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.1
64
Examples
• 4.OA.3
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.
213
Examples
• Gain Familiarity With Factors And Multiples.
• 4.OA.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.
102
Examples
• Generate And Analyze Patterns.
• 4.OA.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.
132
Examples
• Number And Operations In Base Ten2
• Generalize Place Value Understanding For Multi-Digit Whole Numbers.
• 4.NBT.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.
73
Examples
• 4.NBT.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.
188
Examples
• 4.NBT.3
Use place value understanding to round multi-digit whole numbers to any place.
73
Examples
• Use Place Value Understanding And Properties Of Operations To Perform Multi-Digit Arithmetic.
• 4.NBT.4
Fluently add and subtract multi-digit whole numbers using the standard algorithm.
516
Examples
• 4.NBT.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.
83
Examples
• 4.NBT.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.
26
Examples
• Number And Operations-Fractions3
• Measurement And Data
• Solve Problems Involving Measurement And Conversion Of Measurements From A Larger Unit To A Smaller Unit.
• 4.MD.1
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), ...
55
Examples
• 4.MD.2
Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money, including problems involving simple fractions or decimals, and problems that require expressing measurements given in a larger unit in terms of a smaller unit. Represent measurement quantities using diagrams such as number line diagrams that feature a measurement scale.
202
Examples
• 4.MD.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.
25
Examples
• Represent And Interpret Data.
• 4.MD.4
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.
14
Examples
• Geometric Measurement: Understand Concepts Of Angle And Measure Angles.
• 4.MD.5
Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand concepts of angle measurement:
13
Examples
• 4.MD.5.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.
3
Examples
• Geometry
• Draw And Identify Lines And Angles, And Classify Shapes By Properties Of Their Lines And Angles.
• 4.G.1
Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two-dimensional figures.
26
Examples
• 4.G.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.
17
Examples
• 4.G.3
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.
49
Examples
• Operations And Algebraic Thinking
• Write And Interpret Numerical Expressions.
• 5.OA.1
Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.
10
Examples
• 5.OA.2
Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation 'add 8 and 7, then multiply by 2' as 2 x (8 + 7). Recognize that 3 x (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product.
17
Examples
• Analyze Patterns And Relationships.
• 5.OA.3
Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. For example, given the rule 'Add 3' and the starting number 0, and given the rule 'Add 6' and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so.
53
Examples
• Number And Operations In Base Ten
• Understand The Place Value System.
• 5.NBT.1
Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left.
50
Examples
• 5.NBT.3
Read, write, and compare decimals to thousandths.
83
Examples
• 5.NBT.3.a
Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 x 100 + 4 x 10 + 7 x 1 + 3 x (1/10) + 9 x (1/100) + 2 x (1/1000).
25
Examples
• 5.NBT.4
Use place value understanding to round decimals to any place.
80
Examples
• Perform Operations With Multi-Digit Whole Numbers And With Decimals To Hundredths.
• 5.NBT.5
Fluently multiply multi-digit whole numbers using the standard algorithm.
45
Examples
• 5.NBT.6
Find whole-number quotients of whole numbers with up to four-digit dividends and two-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.
44
Examples
• 5.NBT.7
Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used.
232
Examples
• Number And Operations-Fractions
• Use Equivalent Fractions As A Strategy To Add And Subtract Fractions.
• 5.NF.2
Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions
9
Examples
• Apply And Extend Previous Understandings Of Multiplication And Division To Multiply And Divide Fractions.
• 5.NF.3
Interpret a fraction as division of the numerator by the denominator (a/b = a / b). Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers, e.g., by using visual fraction models or equations to represent the problem. For example, interpret 3/4 as the result of dividing 3 by 4, noting that 3/4 multiplied by 4 equals 3, and that when 3 wholes are shared equally among 4 people each person has a share of size 3/4. If 9 people want to share a 50-pound sack of rice equally by weight, how many pounds of rice should each person get? Between what two whole numbers does your answer lie?
67
Examples
• 5.NF.4
Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction.
21
Examples
• 5.NF.7
Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions.1
24
Examples
• Measurement And Data
• Geometry
• Graph Points On The Coordinate Plane To Solve Real-World And Mathematical Problems.
• 5.G.1
Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate).
48
Examples
• 5.G.2
Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation.
7
Examples
• Classify Two-Dimensional Figures Into Categories Based On Their Properties.
• 5.G.3
Understand that attributes belonging to a category of two- dimensional figures also belong to all subcategories of that category. For example, all rectangles have four right angles and squares are rectangles, so all squares have four right angles.
11
Examples
• Ratios And Proportional Relationships
• Understand Ratio Concepts And Use Ratio Reasoning To Solve Problems.
• 6.RP.1
Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities. For example, 'The ratio of wings to beaks in the bird house at the zoo was 2:1, because for every 2 wings there was 1 beak.' 'For every vote candidate A received, candidate C received nearly three votes.'
20
Examples
• 6.RP.3
Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations.
158
Examples
• 6.RP.3.c
Find a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity); solve problems involving finding the whole, given a part and the percent.
21
Examples
• The Number System
• Apply And Extend Previous Understandings Of Multiplication And Division To Divide Fractions By Fractions.
• 6.NS.1
Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, e.g., by using visual fraction models and equations to represent the problem. For example, create a story context for (2/3) / (3/4) and use a visual fraction model to show the quotient; use the relationship between multiplication and division to explain that (2/3) / (3/4) = 8/9 because 3/4 of 8/9 is 2/3. (In general, (a/b) / (c/d) = ad/bc.) How much chocolate will each person get if 3 people share 1/2 lb of chocolate equally? How many 3/4-cup servings are in 2/3 of a cup of yogurt? How wide is a rectangular strip of land with length 3/4 mi and area 1/2 square mi?
20
Examples
• Compute Fluently With Multi-Digit Numbers And Find Common Factors And Multiples.
• 6.NS.2
Fluently divide multi-digit numbers using the standard algorithm.
46
Examples
• 6.NS.3
Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation.
202
Examples
• 6.NS.4
Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12. Use the distributive property to express a sum of two whole numbers 1-100 with a common factor as a multiple of a sum of two whole numbers with no common factor. For example, express 36 + 8 as 4 (9 + 2).
38
Examples
• Apply And Extend Previous Understandings Of Numbers To The System Of Rational Numbers.
• 6.NS.6.c
Find and position integers and other rational numbers on a horizontal or vertical number line diagram; find and position pairs of integers and other rational numbers on a coordinate plane.
43
Examples
• 6.NS.7
Understand ordering and absolute value of rational numbers.
13
Examples
• 6.NS.8
Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane. Include use of coordinates and absolute value to find distances between points with the same first coordinate or the same second coordinate.
7
Examples
• Expressions And Equations
• Apply And Extend Previous Understandings Of Arithmetic To Algebraic Expressions.
• 6.EE.1
Write and evaluate numerical expressions involving whole-number exponents.
6
Examples
• 6.EE.2
Write, read, and evaluate expressions in which letters stand for numbers.
15
Examples
• 6.EE.2.a
Write expressions that record operations with numbers and with letters standing for numbers. For example, express the calculation 'Subtract y from 5' as 5 - y.
4
Examples
• 6.EE.3
Apply the properties of operations to generate equivalent expressions.
53
Examples
• Reason About And Solve One-Variable Equations And Inequalities.
• 6.EE.6
Use variables to represent numbers and write expressions when solving a real-world or mathematical problem; understand that a variable can represent an unknown number, or, depending on the purpose at hand, any number in a specified set.
7
Examples
• 6.EE.7
Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all nonnegative rational numbers.
4
Examples
• Geometry
• Solve Real-World And Mathematical Problems Involving Area, Surface Area, And Volume.
• 6.G.1
Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems.
11
Examples
• 6.G.3
Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate. Apply these techniques in the context of solving real-world and mathematical problems.
12
Examples
• 6.G.4
Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures. Apply these techniques in the context of solving real-world and mathematical problems.
20
Examples
• Statistics And Probability
• Develop Understanding Of Statistical Variability.
• 6.SP.2
Understand that a set of data collected to answer a statistical question has a distribution which can be described by its center, spread, and overall shape.
3
Examples
• Summarize And Describe Distributions.
• 6.SP.4
Display numerical data in plots on a number line, including dot plots, histograms, and box plots.
4
Examples
• 6.SP.5
Summarize numerical data sets in relation to their context, such as by:
24
Examples
• 6.SP.5.a
Reporting the number of observations.
5
Examples
• 6.SP.5.c
Giving quantitative measures of center (median and/or mean) and variability (interquartile range and/or mean absolute deviation), as well as describing any overall pattern and any striking deviations from the overall pattern with reference to the context in which the data were gathered.
26
Examples
• Ratios And Proportional Relationships
• Analyze Proportional Relationships And Use Them To Solve Real-World And Mathematical Problems.
• 7.RP.1
Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. For example, if a person walks 1/2 mile in each 1/4 hour, compute the unit rate as the complex fraction 1/2/1/4 miles per hour, equivalently 2 miles per hour.
28
Examples
• 7.RP.2
Recognize and represent proportional relationships between quantities.
194
Examples
• 7.RP.2.a
Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin.
14
Examples
• 7.RP.2.b
Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.
76
Examples
• 7.RP.2.c
Represent proportional relationships by equations. For example, if total cost t is proportional to the number n of items purchased at a constant price p, the relationship between the total cost and the number of items can be expressed as t = pn.
36
Examples
• 7.RP.2.d
Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate.
6
Examples
• 7.RP.3
Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error.
192
Examples
• The Number System
• Apply And Extend Previous Understandings Of Operations With Fractions To Add, Subtract, Multiply, And Divide Rational Numbers.
• 7.NS.1
Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram.
423
Examples
• 7.NS.1.d
Apply properties of operations as strategies to add and subtract rational numbers.
186
Examples
• 7.NS.2
Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.
198
Examples
• 7.NS.2.a
Understand that multiplication is extended from fractions to rational numbers by requiring that operations continue to satisfy the properties of operations, particularly the distributive property, leading to products such as (-1)(-1) = 1 and the rules for multiplying signed numbers. Interpret products of rational numbers by describing real-world contexts.
12
Examples
• 7.NS.2.b
Understand that integers can be divided, provided that the divisor is not zero, and every quotient of integers (with non-zero divisor) is a rational number. If p and q are integers, then -(p/q) = (-p)/q = p/(-q). Interpret quotients of rational numbers by describing real- world contexts.
9
Examples
• 7.NS.2.c
Apply properties of operations as strategies to multiply and divide rational numbers.
162
Examples
• 7.NS.2.d
Convert a rational number to a decimal using long division; know that the decimal form of a rational number terminates in 0s or eventually repeats.
21
Examples
• 7.NS.3
Solve real-world and mathematical problems involving the four operations with rational numbers.
174
Examples
• Expressions And Equations
• Use Properties Of Operations To Generate Equivalent Expressions.
• 7.EE.1
Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.
37
Examples
• 7.EE.2
Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related. For example, a + 0.05a = 1.05a means that 'increase by 5%' is the same as 'multiply by 1.05.'
10
Examples
• Solve Real-Life And Mathematical Problems Using Numerical And Algebraic Expressions And Equations.
• 7.EE.3
Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies. For example: If a woman making \$25 an hour gets a 10% raise, she will make an additional 1/10 of her salary an hour, or \$2.50, for a new salary of \$27.50. If you want to place a towel bar 9 3/4 inches long in the center of a door that is 27 1/2 inches wide, you will need to place the bar about 9 inches from each edge; this estimate can be used as a check on the exact computation.
204
Examples
• 7.EE.4
Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.
9
Examples
• 7.EE.4.a
Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach. For example, the perimeter of a rectangle is 54 cm. Its length is 6 cm. What is its width?
3
Examples
• Geometry
• Statistics And Probability
• Use Random Sampling To Draw Inferences About A Population.
• 7.SP.2
Use data from a random sample to draw inferences about a population with an unknown characteristic of interest. Generate multiple samples (or simulated samples) of the same size to gauge the variation in estimates or predictions. For example, estimate the mean word length in a book by randomly sampling words from the book; predict the winner of a school election based on randomly sampled survey data. Gauge how far off the estimate or prediction might be.
2
Examples
• Draw Informal Comparative Inferences About Two Populations.
• 7.SP.3
Informally assess the degree of visual overlap of two numerical data distributions with similar variabilities, measuring the difference between the centers by expressing it as a multiple of a measure of variability. For example, the mean height of players on the basketball team is 10 cm greater than the mean height of players on the soccer team, about twice the variability (mean absolute deviation) on either team; on a dot plot, the separation between the two distributions of heights is noticeable.
9
Examples
• Investigate Chance Processes And Develop, Use, And Evaluate Probability Models.
• 7.SP.6
Approximate the probability of a chance event by collecting data on the chance process that produces it and observing its long-run relative frequency, and predict the approximate relative frequency given the probability. For example, when rolling a number cube 600 times, predict that a 3 or 6 would be rolled roughly 200 times, but probably not exactly 200 times.
7
Examples
• 7.SP.7
Develop a probability model and use it to find probabilities of events. Compare probabilities from a model to observed frequencies; if the agreement is not good, explain possible sources of the discrepancy.
62
Examples
• 7.SP.7.a
Develop a uniform probability model by assigning equal probability to all outcomes, and use the model to determine probabilities of events. For example, if a student is selected at random from a class, find the probability that Jane will be selected and the probability that a girl will be selected.
6
Examples
• 7.SP.8
Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation.
15
Examples
• 7.SP.8.a
Understand that, just as with simple events, the probability of a compound event is the fraction of outcomes in the sample space for which the compound event occurs.
22
Examples
• The Number System
• Expressions And Equations
• Work With Radicals And Integer Exponents.
• 8.EE.1
Know and apply the properties of integer exponents to generate equivalent numerical expressions. For example, 32 x 3-5 = 3-3 = 1/33 = 1/27.
4
Examples
• 8.EE.2
Use square root and cube root symbols to represent solutions to equations of the form x2 = p and x3 = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that _2 is irrational.
47
Examples
• 8.EE.3
Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities, and to express how many times as much one is than the other. For example, estimate the population of the United States as 3 x 108 and the population of the world as 7 x 109, and determine that the world population is more than 20 times larger.
48
Examples
• Understand The Connections Between Proportional Relationships, Lines, And Linear Equations.
• 8.EE.5
Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways. For example, compare a distance-time graph to a distance-time equation to determine which of two moving objects has greater speed.
2
Examples
• Analyze And Solve Linear Equations And Pairs Of Simultaneous Linear Equations.
• 8.EE.7
Solve linear equations in one variable.
13
Examples
• 8.EE.7.b
Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms.
9
Examples
• 8.EE.8
Analyze and solve pairs of simultaneous linear equations.
6
Examples
• 8.EE.8.a
Understand that solutions to a system of two linear equations in two variables correspond to points of intersection of their graphs, because points of intersection satisfy both equations simultaneously.
6
Examples
• Functions
• Define, Evaluate, And Compare Functions.
• 8.F.1
Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.1
32
Examples
• 8.F.2
Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). For example, given a linear function represented by a table of values and a linear function represented by an algebraic expression, determine which function has the greater rate of change.
2
Examples
• 8.F.3
Interpret the equation y = mx + b as defining a linear function, whose graph is a straight line; give examples of functions that are not linear. For example, the function A = s2 giving the area of a square as a function of its side length is not linear because its graph contains the points (1,1), (2,4) and (3,9), which are not on a straight line.
2
Examples
• Use Functions To Model Relationships Between Quantities.
• 8.F.4
Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values.
2
Examples
• Geometry
• Statistics And Probability
• Investigate Patterns Of Association In Bivariate Data.
• 8.SP.4
Understand that patterns of association can also be seen in bivariate categorical data by displaying frequencies and relative frequencies in a two-way table. Construct and interpret a two-way table summarizing data on two categorical variables collected from the same subjects. Use relative frequencies calculated for rows or columns to describe possible association between the two variables. For example, collect data from students in your class on whether or not they have a curfew on school nights and whether or not they have assigned chores at home. Is there evidence that those who have a curfew also tend to have chores?
5
Examples
• High School
• ELA/Literacy
• Kindergarten
• Print Concepts
• K.RF.1
Demonstrate understanding of the organization and basic features of print.
21
Examples
• K.RF.1.a
Follow words from left to right, top to bottom, and page by page.
11
Examples
• K.RF.1.d
Recognize and name all upper- and lowercase letters of the alphabet.
49
Examples
• Phonological awareness
• K.RF.2
Demonstrate understanding of spoken words, syllables, and sounds (phonemes).
87
Examples
• K.RF.2.a
Recognize and produce rhyming words.
2
Examples
• K.RF.2.c
Blend and segment onsets and rimes of single-syllable spoken words.
78
Examples
• K.RF.2.d
Isolate and pronounce the initial, medial vowel, and final sounds (phonemes) in three-phoneme (consonent-vowel-consonent, or CVC) words.* (This does not include CVCs ending with /l/, /r/, or /x/.)
28
Examples
• K.RF.2.e
Add or substitute individual sounds (phonemes) in simple, one-syllable words to make new words.
18
Examples
• Phonics and Word recognition
• K.RF.3
Know and apply grade-level phonics and word analysis skills in decoding words.
54
Examples
• K.RF.3.c
Read common high-frequency words by sight (e.g., the, of, to, you, she, my, is, are, do, does).
41
Examples
• K.RF.3.d
Distinguish between similarly spelled words by identifying the sounds of the letters that differ.
128
Examples
• Language
• Conventions of Standard English
• K.L.1
Demonstrate command of the conventions of standard English grammar and usage when writing or speaking.
45
Examples
• K.L.1.e
Use the most frequently occurring prepositions (e.g., to, from, in, out, on, off, for, of, by, with).
9
Examples
• K.L.2
Demonstrate command of the conventions of standard English capitalization, punctuation, and spelling when writing.
2
Examples
• K.L.2.c
Write a letter or letters for most consonant and short-vowel sounds (phonemes).
30
Examples
• K.L.2.d
Spell simple words phonetically, drawing on knowledge of sound-letter relationships.
28
Examples
• Vocabulary Acquisition and Use
• K.L.5.a
Sort common objects into categories (e.g., shapes, foods) to gain a sense of the concepts the categories represent.
24
Examples
• Print Concepts
• 1.RF.1
Demonstrate understanding of the organization and basic features of print.
26
Examples
• 1.RF.1.a
Recognize the distinguishing features of a sentence (e.g., first word, capitalization, ending punctuation).
6
Examples
• Phonological awareness
• 1.RF.2
Demonstrate understanding of spoken words, syllables, and sounds (phonemes).
1
Examples
• 1.RF.2.d
Segment spoken single-syllable words into their complete sequence of individual sounds (phonemes).
21
Examples
• Phonics and Word recognition
• 1.RF.3
Know and apply grade-level phonics and word analysis skills in decoding words.
283
Examples
• 1.RF.3.a
Know the spelling-sound correspondences for common consonant digraphs.
44
Examples
• 1.RF.3.b
Decode regularly spelled one-syllable words.
172
Examples
• 1.RF.3.g
1
Examples
• Fluency
• 1.RF.4.c
Use context to confirm or self-correct word recognition and understanding, rereading as necessary.
92
Examples
• Language
• Conventions of Standard English
• 1.L.1
Demonstrate command of the conventions of standard English grammar and usage when writing or speaking.
6
Examples
• 1.L.1.b
Use common, proper, and possessive nouns.
1
Examples
• 1.L.1.e
Use verbs to convey a sense of past, present, and future (e.g., Yesterday I walked home; Today I walk home; Tomorrow I will walk home).
2
Examples
• 1.L.1.f
9
Examples
• 1.L.1.i
Use frequently occurring prepositions (e.g., during, beyond, toward).
2
Examples
• 1.L.2
Demonstrate command of the conventions of standard English capitalization, punctuation, and spelling when writing.
22
Examples
• 1.L.2.a
Capitalize dates and names of people.
5
Examples
• 1.L.2.e
Spell untaught words phonetically, drawing on phonemic awareness and spelling conventions.
4
Examples
• Vocabulary Acquisition and Use
• 1.L.5.a
Sort words into categories (e.g., colors, clothing) to gain a sense of the concepts the categories represent.
2
Examples
• Craft and Structure
• 2.RL.5
Describe the overall structure of a story, including describing how the beginning introduces the story and the ending concludes the action.
24
Examples
• Integration of Knowledge and Ideas
• 2.RL.7
Use information gained from the illustrations and words in a print or digital text to demonstrate understanding of its characters, setting, or plot.
49
Examples
• Key Ideas and Details
• 2.RI.1
Ask and answer such questions as who, what, where, when, why, and how to demonstrate understanding of key details in a text.
18
Examples
• Phonics and Word recognition
• 2.RF.3
Know and apply grade-level phonics and word analysis skills in decoding words.
276
Examples
• 2.RF.3.a
Distinguish long and short vowels when reading regularly spelled one-syllable words.
16
Examples
• 2.RF.3.b
Know spelling-sound correspondences for additional common vowel teams.
78
Examples
• 2.RF.3.c
Decode regularly spelled two-syllable words with long vowels.
33
Examples
• 2.RF.3.e
Identify words with inconsistent but common spelling-sound correspondences.
10
Examples
• 2.RF.3.f
43
Examples
• Fluency
• 2.RF.4.c
Use context to confirm or self-correct word recognition and understanding, rereading as necessary.
22
Examples
• Language
• Conventions of Standard English
• 2.L.1
Demonstrate command of the conventions of standard English grammar and usage when writing or speaking.
36
Examples
• 2.L.1.d
Form and use the past tense of frequently occurring irregular verbs (e.g., sat, hid, told).
1
Examples
• 2.L.1.e
Use adjectives and adverbs, and choose between them depending on what is to be modified.
6
Examples
• 2.L.2
Demonstrate command of the conventions of standard English capitalization, punctuation, and spelling when writing.
47
Examples
• Knowledge of Language
• 2.L.3
Use knowledge of language and its conventions when writing, speaking, reading, or listening.
1
Examples
• Vocabulary Acquisition and Use
• 2.L.4.a
Use sentence-level context as a clue to the meaning of a word or phrase.
14
Examples
• 2.L.4.c
Use a known root word as a clue to the meaning of an unknown word with the same root (e.g., addition, additional).
9
Examples
• 2.L.4.d
Use knowledge of the meaning of individual words to predict the meaning of compound words (e.g., birdhouse, lighthouse, housefly; bookshelf, notebook, bookmark).
6
Examples
• 2.L.5
Demonstrate understanding of figurative language, word relationships and nuances in word meanings.
4
Examples
• Key Ideas and Details
• 3.RL.1
Ask and answer questions to demonstrate understanding of a text, referring explicitly to the text as the basis for the answers.
41
Examples
• Key Ideas and Details
• 3.RI.1
Ask and answer questions to demonstrate understanding of a text, referring explicitly to the text as the basis for the answers.
43
Examples
• Integration of Knowledge and Ideas
• 3.RI.7
Use information gained from illustrations (e.g., maps, photographs) and the words in a text to demonstrate understanding of the text (e.g., where, when, why, and how key events occur).
40
Examples
• 3.RI.8
Describe the logical connection between particular sentences and paragraphs in a text (e.g., comparison, cause/effect, first/second/third in a sequence).
7
Examples
• Phonics and Word recognition
• 3.RF.3
Know and apply grade-level phonics and word analysis skills in decoding words.
229
Examples
• 3.RF.3.a
Identify and know the meaning of the most common prefixes and derivational suffixes.
16
Examples
• 3.RF.3.c
Decode multisyllable words.
58
Examples
• 3.RF.3.d
72
Examples
• Fluency
• 3.RF.4
Read with sufficient accuracy and fluency to support comprehension.
3
Examples
• 3.RF.4.c
Use context to confirm or self-correct word recognition and understanding, rereading as necessary.
4
Examples
• Language
• Conventions of Standard English
• 3.L.1
Demonstrate command of the conventions of standard English grammar and usage when writing or speaking.
16
Examples
• 3.L.1.a
Explain the function of nouns, pronouns, verbs, adjectives, and adverbs in general and their functions in particular sentences.
21
Examples
• 3.L.1.g
Form and use comparative and superlative adjectives and adverbs, and choose between them depending on what is to be modified.
5
Examples
• 3.L.2
Demonstrate command of the conventions of standard English capitalization, punctuation, and spelling when writing.
38
Examples
• 3.L.2.f
Use spelling patterns and generalizations (e.g., word families, position-based spellings, syllable patterns, ending rules, meaningful word parts) in writing words.
6
Examples
• Vocabulary Acquisition and Use
• 3.L.4.a
Use sentence-level context as a clue to the meaning of a word or phrase.
2
Examples
• 3.L.4.b
Determine the meaning of the new word formed when a known affix is added to a known word (e.g., agreeable/disagreeable, comfortable/uncomfortable, care/careless, heat/preheat).
6
Examples
• 3.L.5.b
Identify real-life connections between words and their use (e.g., describe people who are friendly or helpful).
2
Examples
• Key Ideas and Details
• 4.RL.1
Refer to details and examples in a text when explaining what the text says explicitly and when drawing inferences from the text.
59
Examples
• 4.RL.2
Determine a theme of a story, drama, or poem from details in the text; summarize the text.
1
Examples
• Craft and Structure
• 4.RL.4
Determine the meaning of words and phrases as they are used in a text, including those that allude to significant characters found in mythology (e.g., Herculean).
4
Examples
• Range of Reading and Complexity of Text
• 4.RL.10
By the end of the year, read and comprehend literature, including stories, dramas, and poetry, in the grades 4-5 text complexity band proficiently, with scaffolding as needed at the high end of the range.
28
Examples
• Key Ideas and Details
• 4.RI.1
Refer to details and examples in a text when explaining what the text says explicitly and when drawing inferences from the text.
24
Examples
• Craft and Structure
• 4.RI.5
Describe the overall structure (e.g., chronology, comparison, cause/effect, problem/solution) of events, ideas, concepts, or information in a text or part of a text.
5
Examples
• Integration of Knowledge and Ideas
• 4.RI.7
Interpret information presented visually, orally, or quantitatively (e.g., in charts, graphs, diagrams, time lines, animations, or interactive elements on Web pages) and explain how the information contributes to an understanding of the text in which it appears.
43
Examples
• Phonics and Word recognition
• 4.RF.3
Know and apply grade-level phonics and word analysis skills in decoding words.
60
Examples
• 4.RF.3.a
Use combined knowledge of all letter-sound correspondences, syllabication patterns, and morphology (e.g., roots and affixes) to read accurately unfamiliar multisyllabic words in context and out of context.
3
Examples
• Fluency
• 4.RF.4
Read with sufficient accuracy and fluency to support comprehension.
3
Examples
• 4.RF.4.a
Read on-level text with purpose and understanding.
32
Examples
• 4.RF.4.c
Use context to confirm or self-correct word recognition and understanding, rereading as necessary.
3
Examples
• Writing
• Text Types and Purposes
• 4.W.3
Write narratives to develop real or imagined experiences or events using effective technique, descriptive details, and clear event sequences.
1
Examples
• Language
• Conventions of Standard English
• 4.L.1
Demonstrate command of the conventions of standard English grammar and usage when writing or speaking.
16
Examples
• 4.L.1.a
Use relative pronouns (who, whose, whom, which, that) and relative adverbs (where, when, why).
5
Examples
• 4.L.1.b
Form and use the progressive (e.g., I was walking; I am walking; I will be walking) verb tenses.
10
Examples
• 4.L.1.g
Correctly use frequently confused words (e.g., to, too, two; there, their).*
9
Examples
• 4.L.2
Demonstrate command of the conventions of standard English capitalization, punctuation, and spelling when writing.
40
Examples
• 4.L.2.d
Spell grade-appropriate words correctly, consulting references as needed.
18
Examples
• Knowledge of Language
• 4.L.3
Use knowledge of language and its conventions when writing, speaking, reading, or listening.
1
Examples
• 4.L.3.a
Choose words and phrases to convey ideas precisely.*
23
Examples
• Vocabulary Acquisition and Use
• 4.L.4.a
Use context (e.g., definitions, examples, or restatements in text) as a clue to the meaning of a word or phrase.
12
Examples
• 4.L.5
Demonstrate understanding of figurative language, word relationships, and nuances in word meanings.
5
Examples
• 4.L.5.c
Demonstrate understanding of words by relating them to their opposites (antonyms) and to words with similar but not identical meanings (synonyms).
30
Examples