Grade 4

Outcomes

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
    
    Play Activities 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.
    
    Play Activities 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.
    
    Play Activities 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.
    
    Play Activities 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.
    
    Play Activities 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.
    
    Play Activities 188
    
    Examples
  - 4.NBT.3
    Use place value understanding to round multi-digit whole numbers to any place.
    
    Play Activities 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.
    
    Play Activities 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.
    
    Play Activities 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.
    
    Play Activities 26
    
    Examples
Number And Operations-Fractions3
- Extend Understanding Of Fraction Equivalence And Ordering.
  - 4.NF.1
    Explain why a fraction a/b is equivalent to a fraction (n x a)/(n x 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.
    
    Play Activities 12
    
    Examples
  - 4.NF.2
    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.
    
    Play Activities 11
    
    Examples
- Build Fractions From Unit Fractions By Applying And Extending Previous Understandings Of Operations On Whole Numbers.
  - 4.NF.4
    Apply and extend previous understandings of multiplication to multiply a fraction by a whole number.
    
    Play Activities 65
    
    Examples
- Understand Decimal Notation For Fractions, And Compare Decimal Fractions.
  - 4.NF.6
    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.
    
    Play Activities 12
    
    Examples
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), ...
    
    Play Activities 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.
    
    Play Activities 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.
    
    Play Activities 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.
    
    Play Activities 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:
    
    Play Activities 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.
    
    Play Activities 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.
    
    Play Activities 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.
    
    Play Activities 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.
    
    Play Activities 49
    
    Examples