Chapter 2 - Fractions

Chapter Two - Fractions

6.NS.A.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.

6.NS.B.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).

6.NS.C.6 - Understand a rational number as point on the number line. Extend number line diagrams and coordinate axes familiar from previous grades to represent points on the line and in the plane with negative number coordinates.

6.NS.C.6a - Recognize opposite signs of numbers as indicating locations on opposite sides of 0 on the number line; recognize that the opposite of the opposite of a number is the number itself, e.g., -(-3) = 3, and that 0 is its own opposite.

6.NS.C.7 - Understand ordering and absolute value of rational numbers.

6.NS.C.7a - Interpret statements of inequality as statements about the relative position of two numbers on a number line diagram. For example, interpret -3 > -7 as a statement that -3 is located to the right of -7 on a number line oriented from left to right.

Vocabulary

    1. common denominator
    2. compatible numbers
    3. equivalent fractions
    4. fraction
    5. mixed number
    6. multiplicative inverse
    7. reciprocal
    8. simplest form

Lesson 2.1 - Fractions and Decimals

  • Students will be able to convert between fractions and decimals. (6.NS.C.6c)

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Study Jams - Decimals and Fraction Equivalents

IXL Practice

  • I.9 - Convert between decimals and fractions or mixed numbers

Lesson 2.2 - Compare and Order Fractions and Decimals

  • Students will be able to compare and order fractions and decimals. (6.NS.C.7a)

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Study Jams - Ordering Fractions and Decimals

IXL Practice

  • I.6 - Compare fractions with like and unlike denominators
  • 1.10 - Put a mix decimals, fractions, and mixed numbers in order

Lesson 2.3 - Multiply Fractions

  • Students will be able to multiply fractions. (6.NS.B.4)

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Khan Academy - Multiplying fractions

IXL Practice

  • K.1 - Fractions of whole numbers I
  • K.2 - Fractions of whole numbers II
  • K.6 - Multiply two fractions
  • K.10 - Multiply mixed numbers and whole numbers
  • K.11 - Multiply mixed numbers

Lesson 2.4 - Simplify Fractions

  • Students will be able to simplify fractional factors by using the greatest common factor. (6.NS.B.4)

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Study Jams - Simplest Form

Lesson 2.5 - Model Fraction Division

  • Students will be able to use a model to show division of fractions. (6.NS.A.1)

IXL Practice

  • L.1 - Divide whole numbers by unit fractions using models

Lesson 2.6 - Estimate Quotients

  • Students will be able to use compatible numbers to estimate quotients of fractions and mixed numbers. (6.NS.A.1)

Lesson 2.7 - Divide Fractions

  • Students will be able to divide fractions. (6.NS.A.1)

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Khan Academy - Dividing Fractions Ex. 1

Khan Academy - Dividing Fractions Ex. 2

IXL Practice

  • L.3 - Divide whole numbers and unit fractions
  • L.5 - Divide fractions


Lesson 2.8 - Model Mixed Number Division

  • Students will be able to use a model to show division of mixed numbers.

Lesson 2.9 - Divide Mixed Numbers

  • Students will be able to divide mixed numbers.

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Khan Academy -- Dividing Mixed Numbers

IXL Practice

L.7 - Divide fractions and mixed numbers

L.8 - Divide fractions and mixed numbers

Lesson 2.10 - Problem Solving: Fraction Operations

  • Students will be able to solve problems with fractions and mixed numbers by applying the strategy: use a model.