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6th grade math has 172 lessons
  • Fractions, Mixed Numbers, And Decimals
    29 lessons
      Fractional parts of a number
      Find the fractional part of the number. Write your answer as a decimal.

      4
      5
      of 2 =

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      Equivalent Fractions

      What fraction is equal to
      9
      6
      ?

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      Simplest form

      What fraction is equal to
      24
      28
      ?

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      Comparing Fractions
      Choose the answer that correctly fills in the blank.

      4
      6
      4
      4

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      Mixed Numbers

      What fraction does 5
      6
      7
      equal?

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      Add and Subtract Fractions

      3
      6
      +
      7
      6
      =

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      Fractions and decimals
      Write the fraction or mixed number as a decimal

      1
      10
      =

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      Mixed Numbers and Decimals
      Write the fraction or mixed number as a decimal

      1
      6
      10
      =

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      Compare Decimals
      Choose the answer that correctly fills in the blank.

      8.58 2.6

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      Compare Decimals to Fractions
      Choose the answer that correctly fills in the blank.

      38
      10
      4

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      Round decimals
      Round to the underlined digit

      4.4109 =

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      Add and Subtract Decimals
      Fill in the blank.

      1.5 + 0.63 =

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      Mixed Numbers and Improper Fractions

      Is
      7
      6
      a proper fraction, an improper fraction, or a mixed number?

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      Equivalent Fractions

      What fraction is equal to
      9
      6
      ?

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      Simplest Form

      What fraction is equal to
      24
      28
      ?

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      Comparing Fractions
      Choose the answer that correctly fills in the blank.

      4
      6
      4
      4

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      Equivalent Fractions and Decimals

      Write the fraction
      34
      100
      as a decimal.

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      Comparing Decimals, Fractions, and Mixed Numbers
      Fill in the blank with < or > or =

      0.71
      1
      5

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      Equivalent Fractions

      Which of the following is equivalent to
      3
      7
      ?

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      Ordering Fractions
      Rewrite the fractions using the lowest common denominator. Then, fill in the comparison using >, < or =.

      3
      5
      =

      2
      3
      =

      3
      5
      2
      3

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      Ordering Mixed Numbers
      Fill in the blank with < or >.

      4
      5
      10
      37
      10

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      Equivalent Fractions and Decimals

      0.62 =

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      Adding and Subtracting Fractions Review

      3
      6
      +
      7
      6
      =

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      Adding Mixed Numbers Review
      Fill in the blank. Your answer should be a mixed number in simplest form.

      6
      7
      20
      +
      6
      20
      =

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      Subtracting Mixed Numbers Review
      Solve the equation. Give your answer as a mixed number in simplest form.

      9
      5
      7
      - 8
      4
      7
      =

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      Multiplying Fractions and Mixed Numbers Review
      Solve the equation. Give your answer as a fraction in simplest form.

      1 ×
      4
      6
      =

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      Dividing Fractions and Mixed Numbers Review
      Solve the equation. Give your answer in simplest form.

      2 ÷
      1
      5
      =

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      Adding and Subtracting Decimals Review
      Fill in the blank.

      1.5 + 0.63 =

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      Multipling and Dividing Decimals Review
      Multiply

      0.4 × 0.3 =

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  • Algebra
    22 lessons
      Expressions using parentheses
      Evaluate the expression

      (735 + 688) + 240

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      Adding equals to both sides of an equation

      (936 + 426) + 255 = 936 +

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      Evaluating expressions with all four operations
      Evaluate the expression.

      6 + 5 + (9 - 8) × 8

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      Using variables and evaluating expressions using variables
      Evaluate the expression

      a - 1 = , where a=3

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      Order of Operations

      12 + 3 × 5 =

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      Expressions in Word Problems
      Write an algebraic expression that describes the following word phrase, using the letter `a` for the unknown number.

      nine times a number minus two = a -

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      Equations with variables
      Solve the equation.

      x + 14 = 14, x =

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      Distributive Property
      Use the distributive property to fill in the blank.

      2 × 26 = (2 × 18) + (2 × )

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      Commutative Properties of Addition and Multiplication
      Fill in the blank.

      54 × 73 = 73 ×

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      Associative Properties of Addition and Multiplication
      Fill in the blank.

      48 + (2 + 50) = (48 + 2) +

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      Identity Properties and Multiplication by Zero
      Fill in the blank.

      3,894 + 0 =

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      Rounding Decimals
      Round to the underlined digit

      4.4109 =

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      Estimating decimal addition and subtraction
      Estimate the sum by rounding each number to the nearest whole. Give your answer as a whole number.

      5.474 + 3.957 ≈

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      Order of Operations Review

      12 + 3 × 5 =

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      Properties Review
      Use the distributive property to fill in the blank.

      2 × 26 = (2 × 18) + (2 × )

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      Algebraic Expressions

      Evaluate the expression -3x - 14 when x = 11.

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      Simplifying Algebraic Expressions

      In the expression -21x + 37, what is the coefficient of x?
      What is the constant term?

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      Algebraic Formulas

      Use the formula P = 2l + 2w to find the perimeter of a rectangle with the following dimensions: Length 9, Width 17 =

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      Solving Addition and Subtraction Equations
      Solve the equation.

      x + 12 = 15, x =

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      Solving Multiplication and Division Equations
      Solve the equation.

      7y = 7 × -1, y =

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      Ratios

      How would you write the ratio of 32 to 73 in ratio form? Do not simplify the ratio.

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      Cross Products
      Solve for x.

      x
      30
      =
      19
      15
      , x =

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  • Factoring And Multiples
    14 lessons
      Factoring

      1 × 56 =
      2 × 28 =
      4 × 14 = 56
      7 × 8 = 56
      8 × 7 = 56
      14 × 4 = 56
      28 × 2 = 56
      56 × 1 = 56
      The factors of 56, from least to greatest, are 1, 2, , 7, , 14, 28, 56

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      Multiples

      List the next three multiples of the number 9.
      9, 18, , ,

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      Factoring review

      1 × 56 =
      2 × 28 =
      4 × 14 = 56
      7 × 8 = 56
      8 × 7 = 56
      14 × 4 = 56
      28 × 2 = 56
      56 × 1 = 56
      The factors of 56, from least to greatest, are 1, 2, , 7, , 14, 28, 56

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      Factors vs. Multiples
      Fill in the blank with the correct word.

      6 is a of 18

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      Basic Exponents

      What is the value of 15?

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      Prime Factorization and Exponents

      What is the prime factorization of 67 ordered from least to greatest? ,

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      Prime and composite numbers

      If you know 79 is prime, what are the factors for 79 ordered from least to greatest? ,

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      Greatest Common Factors

      What is the greatest common factor of 64 and 24?

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      Prime and Composite Numbers Review

      If you know 79 is prime, what are the factors for 79 ordered from least to greatest? ,

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      Prime Factorization and Exponents Review

      What is the value of 15?

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      Greatest Common Factors Review

      What is the greatest common factor of 64 and 24?

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      Greatest Common Factors of Three Numbers

      What is the greatest common factor of 16, 24 and 24?

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      Least Common Multiples

      What is the least common multiple of 5 and 50?

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      Least Common Multilpes of Three Numbers

      Find the least common multiple of 2, 5, and 25.

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  • Integers
    6 lessons
      Comparing Rational Numbers
      Fill in the blank with < or >.

      -19
      9
      13
      4

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      Integers

      What is the opposite of the integer -4?

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      Absolute Value and Adding Integers

      What is the absolute value of the integer 17?

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      Subtracting Integers
      Find the difference.

      -4 - 9 =

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      Multipling Integers
      Find the product.

      -4 × -2 =

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      Dividing Integers

      What is the value of 0 ÷ -12?

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  • Geometry
    36 lessons
      Identify Solid Figures

      Identify the shape of the figure:

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      Identify Shapes

      What is the name of the figure?



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      Counting Sides and Vertices of Plane Shapes

      How many sides in the figure?



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      Counting Vertices, Edges, Faces

      How many vertices in the figure?



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      Comparing Vertices, Edges, Faces

      Which figure has more vertices?

      Figure 1Figure 2

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      Plane Shapes and Solid Figures

      What shape can you trace from this solid figure?

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      Polygons

      Classify the polygon.

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      Perimeter of Squares

      Find the perimeter of the shaded figure.



      units

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      Perimeter of Shapes

      Find the perimeter of the figure.


      cm

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      Area of Squares

      Find the area of the shaded figure.



      square units

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      Area of Shapes

      What is the area of a rectangle with length 4yd and width 5yd? yd2.

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      Triangles

      Identify the type of triangle.


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      Quadrilaterals

      Identify the type of quadrilateral.

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      Solid Figures

      Identify the solid figure.

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      Faces, Edges, Vertices

      For the given figure, find the number of faces, edges, and vertices:

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      Identify Solid Figures

      Identify the figure:

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      Polygon Review

      Classify the polygon.

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      Lines, Line Segments, Rays

      Is this figure a line, line segment or ray?

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      Parallel, Perpendicular, Intersecting Lines

      Which answer most accurately describes the figure shown?

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      Angles

      Classify this angle as right, acute or obtuse:

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      Triangles Review

      Identify the type of triangle.


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      Quadrilaterals Review

      Identify the type of quadrilateral.

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      Circle Parts

      Identify the part of the circle.

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      Congruence

      Are these shapes congruent?

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      Angles Review

      Classify this angle as right, acute or obtuse:

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      Estimating Angles

      Estimate the measure of the angle:

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      Parallel, Perpendicular, Intersecting Lines

      If angle X = 132, then angle Y =

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      Triangles Review

      Identify the type of triangle.


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      Triangle Angles

      Find the value of x.


      degrees

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      Quadrilateral Angles

      Find the value of x.


      degrees

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      Area of Triangles

      What is the area of this triangle?


      cm2

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      Area of Parallelograms and Trapezoids

      What is the area of this trapezoid if the height is 8 ft?


      ft2

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      Volume of Cubes and Rectangular Prisms

      What is the volume of this cube with width = 6m?



      m3

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      Surface area of Cubes and Rectangular Prisms

      What is the surface area of this cube with width = 4yd?



      yd2

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      Circumference of a Circle

      What is the circumference of a circle with diameter = 12m, using 3.14 for ?



      m

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      Area of a Circle

      What is the area of a circle with radius = 7m, using 3.14 for ?



      m2

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  • Percents
    3 lessons
      Percents

      Write 3% as a fraction without simplifying =

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      Percents and Decimals

      Write 85.89% as a decimal.

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      Percents and Word Problems

      If the sales tax is 8%, how much do you pay in tax when you buy something listed at $100? $ How much do you pay in total? $

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  • Units
    3 lessons
      Unit Conversion With Metric Units

      22.93 kilometers is equal to how many meters? meters
      How many centimeters? centimeters
      Hint: 1 km = 1,000 m, and 1 m = 100 cm

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      Unit Conversion With English Units
      Fill in the blank. Round to the nearest tenth.

      69 in = ft

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      Unit Conversion Between Metric and English
      Fill in the blank. Round to the nearest whole number.

      30 mi = km. Hint: 1 mi ≈ 1.609 km

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  • Probability
    2 lessons
      Mean, Median and Mode Reviews

      What is the mean of the set { 11, 10, 7, 9, 13 }?

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      Probability

      What is the probability of rolling 2 when you roll one die?

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  • Adding And Subtracting Fractions And Mixed Numbers
    8 lessons
      Adding and Subtracting Fractions with like Denominators

      3
      6
      +
      7
      6
      =

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      Adding and Subtracting Fractions with unlike Denominators

      When adding the fractions
      6
      9
      and
      1
      8
      , what denominator will your answer have in simplest form?

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      Adding Fractions with Sums Greater Than One
      Fill in the blank. Your answer should be a mixed number in simplest form.

      4
      7
      +
      1
      2
      =

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      Adding Fractions and Mixed Numbers
      Fill in the blank. Your answer should be a mixed number in simplest form.

      6
      7
      20
      +
      6
      20
      =

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      Adding two mixed numbers
      Fill in the blank. Your answer should be a mixed number in simplest form.

      4
      4
      9
      + 2
      1
      2
      =

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      Subtracting Mixed Numbers from Integers
      Solve the equation. Give your answer as a mixed number in simplest form.

      9 - 7
      2
      3
      =

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      Subtracting mixed numbers with like denominators
      Solve the equation. Give your answer as a mixed number in simplest form.

      9
      5
      7
      - 8
      4
      7
      =

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      Subtracing Mixed Numbers with Unlike Denominators
      Solve the equation. Give your answer as a mixed number in simplest form.

      9
      1
      2
      - 1
      2
      9
      =

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  • Multiplying And Dividing Fractions And Mixed Numbers
    7 lessons
      Multiplying Fractions
      Solve the equation. Give your answer as a fraction in simplest form.

      1 ×
      4
      6
      =

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      Multiplying With Mixed Numbers
      Solve the equation. Give your answer as a fraction in simplest form.

      3
      2
      4
      ×
      1
      5
      =

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      Multiplying Two Mixed Numbers
      Solve the equation. Give your answer as a mixed number in simplest form.

      1
      2
      4
      × 2
      4
      5
      =

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      Dividing Integers By Fractions
      Solve the equation. Give your answer in simplest form.

      2 ÷
      1
      5
      =

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      Dividing fractions by integers
      Solve the equation. Give your answer as a fraction in simplest form.

      8
      9
      ÷ 10 =

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      Dividing fractions by fractions
      Solve the equation. Give your answer as a fraction in simplest form.

      2
      4
      ÷
      7
      9
      =

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      Dividing fractions and mixed numbers
      Rewrite the expression to use multiplication, using improper fractions if necessary.

      3
      4
      8
      ÷ 2
      6
      7
      =
      8
      ×
      7

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  • Decimal Operations
    8 lessons
      Adding and Subtracting Decimals
      Fill in the blank.

      1.5 + 0.63 =

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      Multiplying Decimals By Integers
      Multiply

      1 × 0.4 =

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      Multiplying Decimals By Decimals
      Multiply

      0.4 × 0.3 =

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      Whole Numbers Dividing Into Decimals
      Divide. Do not round your answer.

      11 ÷ 8 =

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      Dividing Decimals by Whole Numbers
      Find the solution.

      0.35 ÷ 7 =

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      Dividing Whole Numbers By Decimals
      Find the solution.

      15 ÷ 0.6 =

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      Dividing Decimals By Decimals
      Solve.

      1.5 ÷ 0.3 =

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      Dividing With Powers Of Ten

      4 ÷ 2 =

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  • Number Sense
    28 lessons
      Basic Comparison
      Choose the best answer.

      10 is 7

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      Tens and Ones Places
      Fill in the blanks.

      The number 17 has ten and ones.

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      Greater Than & Less Than
      What words should fill in the blank?

      84 81

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      Ordering Numbers
      Put these numbers in order from lowest to greatest.

      72, 70, 83

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      Comparison and Ordering, to Two Hundred
      What words should fill in the blank?

      66 59

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      Rounding to the Nearest Ten
      Round to the nearest ten.

      95 rounds to .

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      Even and Odd Numbers

      Is 98 an even number or an odd number?

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      Place Value Through Hundreds

      What number has 9 hundreds, 8 tens, and 0 ones?

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      Comparing Numbers up to One Thousand
      Fill in the blank with <, >, or =.

      699 630.

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      Counting By Twos, Fives and Tens
      What comes next? Count two at a time.

      85, 87, 89, , ,

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      Patterns and Counting By Twos, Fives and Tens
      Fill in the blanks to complete the pattern.

      60, 59, , 57, ,

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      Review Place Value Below One Thousand

      What number has 9 hundreds, 8 tens, and 0 ones?

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      Place Value Below Ten Thousand

      What number has 8 thousands, 1 hundreds, 2 tens, and 8 ones?

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      Comparing Numbers Below Ten Thousand
      Fill in the blank

      1,612 9,270

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      Rounding

      Round 8,360 to the nearest ten.

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      Rounding and Estimation
      Estimate the sum by rounding each number to the nearest ten.

      13 + 59 =

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      Place value through hundred thousands
      Arrange the following numbers from greatest to least.

      5,970; 3,504; 2,858; 7,212; 8,114
      , , , ,

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      Place value through hundred millions
      Complete the patterns by filling in the blanks.

      112,022,496; 112,023,496; ; 112,025,496;

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      Comparing whole numbers
      Choose the answer that correctly fills in the blank.

      436,583,279 422,403,705

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      Rounding whole numbers
      Fill in the blank.

      98 is when rounded to the nearest ten

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      Addition using commutative, associative, and zero properties
      Evaluate the expression

      984 - 317 - 0

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      Estimation for addition
      Round off each number to the hundreds. Then perform the math function to estimate the result

      998 - 923 =

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      Estimation for subtraction
      Estimate the difference of the equation below by rounding each number to the hundreds place.

      5,653 - 4,517 =

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      Comparing Negative Numbers
      Choose the answer that correctly fills in the blank.

      -1 -6

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      Probability

      If there are 2 squares, 8 triangles, and 4 circles in a box, what is the probability of choosing a square? Do not simplify.

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      Place Value Through Billions
      Choose the answer that correctly fills in the blank.

      436,583,279 422,403,705

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      Place Value Through Thousandths

      In the number 702.470, which digit is in the tenths place?

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      Rounding Whole Numbers
      Fill in the blank.

      98 is when rounded to the nearest ten

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  • Other
    6 lessons
      Squares

      7 × 7 = 7 with the exponent of

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      Powers of Ten

      3 × 5 =
      3 × 50 =
      3 × 500 =
      3 × 5,000 =

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      Unit Conversion

      How many minutes are there in 7 hours? minutes

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      Metric Unit Conversion

      How many grams are there in 9 kilograms?
      grams

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      Two Digit Divisors

      39)273 =

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      Mean, Median and Mode

      What is the mean of the set { 11, 10, 7, 9, 13 }?

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