Helpful Lessons
Math
MCC4.G.1 Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two‐dimensional figures.
LearnZillionVideo-Identify Lines, points, line segments, rays
LearnZillionVideo-Identify Angles
LearnZillionVideo-Identify Perpendicular, Intersecting, Parallel Lines
LearnZillionVideo-Identify Geometric Figures
LearnZillionVideo-Draw Geometric Figures by its Characteristic
MCC4.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.
LearnZillionVideo-Classify Polygons by Parallel Lines
LearnZillionVideo-Classify Polygons by Perpendicular Lines
LearnZillionVideo-Sort Polygons by Angles
LearnZillionVideo-Classify Triangles by Angles
MCC4.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.
LearnZillionVideo-Classify Line of Symmetry by folding
LearnZillionVideo-Identify Symmetry in Irregular Polygons
LearnZillionVideo-Identify Symmetry in Regular Polygons
LearnZillionVideo-Identify Symmetry in Geometric Figures
MCC4.NF.5 Express a fraction with denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two fractions with respective denominators 10 and 100.For example, express 3/10 as 30/100, and add 3/10 +4/100 = 34/100.
MCC4.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.
MCC4.NF.7 Compare two decimals to hundredths by reasoning about their size. Recognize that comparisons are valid only when the two decimals refer to the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions, e.g., by using a visual model.
LearnZillionVideo Compare Decimals with Models
LearnZillionVideo Compare Decimal Dollar Amounts
LearnZillionVideo Compare Decimals on Numberline
LearnZillionVideo Compare Decimals on Ruler
MCC4.NF.5 Express a fraction with denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two fractions with respective denominators 10 and 100. For example, express 3/10 as 30/100, and add 3/10 +4/100 = 34/100.
MCC4.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.
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Math
MCC4.NF.3 Understand a fraction a/b with a > 1 as a sum of fractions 1/b.
a. Understand addition and subtraction of fractions as joining and separating parts referring to the same whole.
b. 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.
c. Add and subtract mixed numbers with like denominators, e.g., by replacing each mixed number with an equivalent fraction, and/or by using properties of operations and the relationship between addition and subtraction.
d. Solve word problems involving addition and subtraction of fractions referring to the same whole and having like denominators, e.g., by using visual fraction models and equations to represent the problem.
LearnZillionVideo-Decompose a Fraction
LearnZillionVideo-Add Fractions With Like Denominators
LearnZillionVideo-Subtract Fractions With Like Denominators
LearnZillionVideo-Add Mixed Numbers With Models
LearnZillionVideo-Subtract Mixed Numbers With Models
MCC4.NF.1 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.
LearnZillionVideo-Recognize Equivalent Fractions with Area Models
LearnZillionVideo-Equivalent Fractions on a Number Line
LearnZillionVideo-Create Equivalent Fractions on a Number Line
MCC4.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.
LearnZillionVideo-Compare Fractions Using 1/2
LearnZillionVideo-Compare Fractions Using Whole Numbers
LearnZillionVideo-Compare Fractions Using a Number Line
LearnZillion Video-Compare Fractions Using Area Models
LearnZillion Video-Compare Fractions by Creating Common Denominators
MCC4.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.
LearnZillionVideo-Factor Pairs Rainbow
LearnZillionVideo-Factor Pairs T-Chart
LearnZillionVideo-Multiples
LearnZillionVideo-Multiples Number-Line
LearnZillionVideo-Prime/Composite
MCC4.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
LearnZillionVideo-Input/Output
LearnZillionVideo-Missing Number Patterns
LearnZillionVideo-What's the Rule
MCC4.OA.1 Interpret a multiplication equation as a comparison, e.g., interpret 35 = 5 × 7 as a statement that 35 is 5 times as many as 7 and 7 times as many as 5. Represent verbal statements of multiplicative comparisons as multiplication equations.
LearnZillionVideo-Commutative PropertyLearnZillionVideo-Multiplication Comparison
MCC4.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.
LearnZillionVideo-Multiplication/Division
LearnZillionVideo-Word Problems with the Unknown
LearnZillionVideo-Word Problems using Bar Models Multiplication/Division
MCC4.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.
LearnZillionVideo-Place Value Multiplication
LearnZillionVideo-Area Models with Multiplication
MCC4.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.
LearnZillionVideo-Dividing 3 Digit Dividend
LearnZillionVideo-Dividing 4 Digit Dividend
LearnZillionVideo-Model Division/Round Up or Down
MCC4.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.
LearnZillionVideo-Estimation with Reasonable Numbers
LearnZillionVideo-Solving Word Problems with Models
LearnZillionVideo-Solving Word Problems Creating an Equation
MCC4.NBT.4 Fluently add and subtract multi-digit whole numbers using the standard algorithm.
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LearnZillionVideo-Subtraction
MCC4.NBT.3 Use place value understanding to round multi-digit whole numbers to any place.
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MCC4.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.
LearnZillionVideo-Base Ten Numerals/Number Name
LearnZillionVideo-Expanded Form
LearnZillionVideo-Comparing Numerals
MCC4.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.
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Math
MCC4.G.1 Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two‐dimensional figures.
LearnZillionVideo-Identify Lines, points, line segments, rays
LearnZillionVideo-Identify Angles
LearnZillionVideo-Identify Perpendicular, Intersecting, Parallel Lines
LearnZillionVideo-Identify Geometric Figures
LearnZillionVideo-Draw Geometric Figures by its Characteristic
MCC4.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.
LearnZillionVideo-Classify Polygons by Parallel Lines
LearnZillionVideo-Classify Polygons by Perpendicular Lines
LearnZillionVideo-Sort Polygons by Angles
LearnZillionVideo-Classify Triangles by Angles
MCC4.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.
LearnZillionVideo-Classify Line of Symmetry by folding
LearnZillionVideo-Identify Symmetry in Irregular Polygons
LearnZillionVideo-Identify Symmetry in Regular Polygons
LearnZillionVideo-Identify Symmetry in Geometric Figures
MCC4.NF.5 Express a fraction with denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two fractions with respective denominators 10 and 100.For example, express 3/10 as 30/100, and add 3/10 +4/100 = 34/100.
MCC4.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.
MCC4.NF.7 Compare two decimals to hundredths by reasoning about their size. Recognize that comparisons are valid only when the two decimals refer to the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions, e.g., by using a visual model.
LearnZillionVideo Compare Decimals with Models
LearnZillionVideo Compare Decimal Dollar Amounts
LearnZillionVideo Compare Decimals on Numberline
LearnZillionVideo Compare Decimals on Ruler
MCC4.NF.5 Express a fraction with denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two fractions with respective denominators 10 and 100. For example, express 3/10 as 30/100, and add 3/10 +4/100 = 34/100.
MCC4.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.
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Math
MCC4.NF.3 Understand a fraction a/b with a > 1 as a sum of fractions 1/b.
a. Understand addition and subtraction of fractions as joining and separating parts referring to the same whole.
b. 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.
c. Add and subtract mixed numbers with like denominators, e.g., by replacing each mixed number with an equivalent fraction, and/or by using properties of operations and the relationship between addition and subtraction.
d. Solve word problems involving addition and subtraction of fractions referring to the same whole and having like denominators, e.g., by using visual fraction models and equations to represent the problem.
LearnZillionVideo-Decompose a Fraction
LearnZillionVideo-Add Fractions With Like Denominators
LearnZillionVideo-Subtract Fractions With Like Denominators
LearnZillionVideo-Add Mixed Numbers With Models
LearnZillionVideo-Subtract Mixed Numbers With Models
MCC4.NF.1 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.
LearnZillionVideo-Recognize Equivalent Fractions with Area Models
LearnZillionVideo-Equivalent Fractions on a Number Line
LearnZillionVideo-Create Equivalent Fractions on a Number Line
MCC4.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.
LearnZillionVideo-Compare Fractions Using 1/2
LearnZillionVideo-Compare Fractions Using Whole Numbers
LearnZillionVideo-Compare Fractions Using a Number Line
LearnZillion Video-Compare Fractions Using Area Models
LearnZillion Video-Compare Fractions by Creating Common Denominators
MCC4.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.
LearnZillionVideo-Factor Pairs Rainbow
LearnZillionVideo-Factor Pairs T-Chart
LearnZillionVideo-Multiples
LearnZillionVideo-Multiples Number-Line
LearnZillionVideo-Prime/Composite
MCC4.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
LearnZillionVideo-Input/Output
LearnZillionVideo-Missing Number Patterns
LearnZillionVideo-What's the Rule
MCC4.OA.1 Interpret a multiplication equation as a comparison, e.g., interpret 35 = 5 × 7 as a statement that 35 is 5 times as many as 7 and 7 times as many as 5. Represent verbal statements of multiplicative comparisons as multiplication equations.
LearnZillionVideo-Commutative PropertyLearnZillionVideo-Multiplication Comparison
MCC4.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.
LearnZillionVideo-Multiplication/Division
LearnZillionVideo-Word Problems with the Unknown
LearnZillionVideo-Word Problems using Bar Models Multiplication/Division
MCC4.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.
LearnZillionVideo-Place Value Multiplication
LearnZillionVideo-Area Models with Multiplication
MCC4.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.
LearnZillionVideo-Dividing 3 Digit Dividend
LearnZillionVideo-Dividing 4 Digit Dividend
LearnZillionVideo-Model Division/Round Up or Down
MCC4.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.
LearnZillionVideo-Estimation with Reasonable Numbers
LearnZillionVideo-Solving Word Problems with Models
LearnZillionVideo-Solving Word Problems Creating an Equation
MCC4.NBT.4 Fluently add and subtract multi-digit whole numbers using the standard algorithm.
LearnZillionVideo-Addition
LearnZillionVideo-Subtraction
MCC4.NBT.3 Use place value understanding to round multi-digit whole numbers to any place.
LearnZillionVideo-Rounding
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MCC4.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.
LearnZillionVideo-Base Ten Numerals/Number Name
LearnZillionVideo-Expanded Form
LearnZillionVideo-Comparing Numerals
MCC4.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.
LearnZillionVideo