3. Student Learning Map

  • Topic:Fractions, Percents, and Related Concepts
  • Subject(s):Math
  • Days:30
  • Grade(s):5
Key Learning:

Parts of a whole can be represented with different mathematical forms such as fractions, decimals, and percents.
Unit Essential Question(s):
 
 

How can numbers be represented in different mathematical forms?
   
Concept:

Understanding Fractions
Concept:

Operations with Fractions
Concept:

Percents
Lesson Essential Question(s):

How do I represent the same fraction in more than one way?*

 (A)

How do I write a fraction in simplest form?

 (A)

How can I compare and order fractions?*

 (A)

What is the relationship between improper fractions and mixed numbers that have the same value?*

 (A)
Lesson Essential Question(s):

How do I add and subtract proper and improper fractions with like denominators?

 (A)

How do I use the least common denominator to add or subtract proper and improper fractions with unlike denominators?

 (A)

How do I add and subtract mixed numbers?

 (A)
Lesson Essential Question(s):

What does percent mean?*

 (A)

How can I write a number as a percent?*

 (A)

How can the same value be written as a fraction or percent?

 (A)
Vocabulary:

simplest form, improper fraction, greatest common factor (GCF), proper fraction, mixed numbers, least common denominator, equivalent fraction

Vocabulary:

least common multiple (LCM), common denominator

Vocabulary:

percent

Concept:

Relationships between Fractions, Decimals, and Percents
Concept:

Ratios
Concept:
Lesson Essential Question(s):

How do I locate fractions, mixed numbers, and decimals on the same number line?*

 (A)

What strategies can I use to compare and order fractions, decimals, and/or percents?*

 (A)

How can the same value be written as a fraction, decimal, and percent?*

 (A)
Lesson Essential Question(s):

How can I find ratios?*

 (A)

What are equal ratios?*

 (A)

How do I use ratios in scale drawings?*

 (A)

What are some instances where ratios are used?

 (ET)
Lesson Essential Question(s):
Vocabulary:

Vocabulary:

ratio, equal ratio, proportion, lowest terms

Vocabulary:

Additional Information:

*Indicates former standard assessed through 2010.

S.F. 7, 11; What's MyPlace? What's My Value?; Calendar Math; Money Bait; Visual Math; Base Ten Model; Beginning Decimals, Fractions & Percent; Modeling Fractions; Number Literacy; Pattern Blocks; Lyrical Lessons; Kathy Robinson Fractions & Decimal Center

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Acquisition Lesson:

Extending Thinking Lesson:

Vocabulary Report

  • ratio -

    A pair of numbers that shows a comparison of two quantities and can be written as 9:4, 9/4, or 9 to 4.

  • percent -

    A ratio in which the first term is compared to 100; number out of 100.

  • least common multiple (LCM) -

    The smallest number that is a multiple of two or more numbers.

  • equal ratio -

    Ratios that show the same comparison.

  • proportion -

    A statement that two ratios are equal.

  • common denominator -

    A number that is the denominator of two or more fractions.

  • lowest terms -

    For ratios, the left side and right side can be divided by the same divisor. This gives equivalent ratios. Example: The ratio 15:45=3:9...divide both 15 and 45 by 5= 1:3...divide both 3 and 9 by 3.

  • simplest form -

    A fraction in which the numerator and denominator have no common factors other than one.

  • improper fraction -

    A fraction in which the numerator is greater than or equal to the denominator.

  • greatest common factor (GCF) -

    The highest number that divides exactly into two or more numbers.

  • proper fraction -

    A fraction smaller than one whole; the denominator is larger than the numerator.

  • mixed numbers -

    A number written as a whole number with a fraction.

  • least common denominator -

    The least common multiple of the denominators of two fractions.

  • equivalent fraction -

    Fractions that name the same part of a whole region, length, or set ( 1/3=2/6)