Topic: Fractions, Decimals,Percents, and Ratios
Subject(s): Math
Days: 60
Grade(s): 5th
Know: Understand: Do:
Fractions relationship to division symbols number lines/fraction bars estimation of fractions GCF - LCM Mixed numbers and improper fractions Equivalent Fractions Real World Problems Place value of decimals Compare decimals
Parts of a whole can be represented with different mathematical forms in everyday life.
Read, write order and compare
Estimate using a reasonable benchmark
Determine and Apply
Solve Problems
Use Manipulatives to model
Add and subtract fractions with like and unlike denominator
Topic: Fractions, Decimals,Percents, and Ratios
Subject(s): Math
Days: 60
Grade(s): 5th
Common Assessments on what students should know and do in this unit:
Topic: Fractions, Decimals,Percents, and Ratios
Subject(s): Math
Days: 60
Grade(s): 5th
Key Learning: Parts of a whole can be represented with different mathematical forms in everyday life.
Unit Essential Question(s):
Why do I need to study fractions, decimals, percents, and ratios?
Concept: Concept: Concept:
Meanings of Fractions
M.O.5.1.1
Equivalent Fractions
M.O.5.1.5, M.O.5.1.1
Simplest Form
M.O.5.1.5, M.O.5.1.1
Lesson Essential Question(s): Lesson Essential Question(s): Lesson Essential Question(s):
How can you divide objects among a group into equal parts? (A)
What is a mixed number? (A)
How do you locate fractions and mixed numbers on a number line? (ET)
How do you find equivalent fractions? (A)
What would be the equivalent fraction if the the denominator is known? (ET)
How can you find the greatest common factor?(GCF) (A)
How can you write a fraction in simplest form? (A)
Vocabulary: Vocabulary: Vocabulary:
fraction numerator denominator mixed number improper fraction
equivalent fractions Greatest Common Factor(GCF) simplest form
Topic: Fractions, Decimals,Percents, and Ratios
Subject(s): Math
Days: 60
Grade(s): 5th
Concept: Concept: Concept:
Comparing and Ordering
Fractions and Mixed Numbers
M.O.5.1.1
Fractions and Decimals
M.O.5.1.1
Solve real world problems using multiple strategies and justify reasonableness by estimation.
M.O.5.1.11
Lesson Essential Question(s): Lesson Essential Question(s): Lesson Essential Question(s):
How can you compare and order fractions? (A)
How can you compare and order mixed numbers? (A)
What can we learn from reading, writing, ordering and comparing decimals? (A)
How can you write a fraction as a decimal? (A)
How can you use division to change a fraction to a decimal? (A)
How can you locate fractions and decimals on the same number line? (A)
How do you solve real world problems using fractions and decimals? (A)
How can you justify the reasonableness of an answer to a problem? (A)
Vocabulary: Vocabulary: Vocabulary:
decimals convert percent tenth hundredths thousandths
write to explain
Topic: Fractions, Decimals,Percents, and Ratios
Subject(s): Math
Days: 60
Grade(s): 5th
Concept: Concept: Concept:
Fraction Operations
M.O.5.1.3, M.O.5.1.5
Percents
M.O.5.1.3
Ratios
M.O.5.1.3
Lesson Essential Question(s): Lesson Essential Question(s): Lesson Essential Question(s):
How can you find the least common denominator of two fractions? (A)
How do you use the LCD to add and subtract fractions with unlike denominators? (A)
How do you add and subtract fractions with like denominators? (A)
How do you add and subtract mixed numbers? (A)
How do you multiply and divide fractions using pencil and paper? (A)
What does percent mean? (A)
How can you find a percent of a number mentally? (A)
How can you label sections of a circle by using percents? (A)
How can you estimate the percent of a number? (A)
How can you use math to compare quantities? (A)
What are equal ratios? (A)
How do you graph equal ratios? (A)
What is a unit rate and how is it used? (A) How do you make and use a table to solve
a problem? (A)
How can you make a scale drawing? (A)
Vocabulary: Vocabulary: Vocabulary:
common denominator multiples least common multiple(LCM) least common denominator mixed number,
percent ratio equal ratios proportion rate unit rate scale scale drawing
Concept:
Lesson Essential Question(s):
(A)
Vocabulary:
Additional Information:
Attached Document(s):
Vocab Report for Topic: Fractions, Decimals,Percents, and Ratios
Subject(s): Math
Days: 60
Grade(s): 5th
Concept: Fractions and Decimals
decimals convert percent tenth hundredths thousandths -
Concept:
Solve real world problems using multiple strategies and justify reasonableness by estimation.
write to explain -
Concept: Ratios
ratio equal ratios proportion rate unit rate scale scale drawing -
Concept: Percents
percent -
Concept: Meanings of Fractions
fraction numerator denominator mixed number improper fraction -
Concept: Equivalent Fractions
equivalent fractions -
Concept: Simplest Form
Greatest Common Factor(GCF) simplest form -
Concept: Fraction Operations
common denominator multiples least common multiple(LCM) least common denominator mixed number -
-
Topic: Fractions, Decimals,Percents, and Ratios
Subject(s): Math
Concept: Meanings of Fractions
5. Acquisition Lesson
Days: 60
Grade(s): 5th
Plan for the Concept, Topic, or Skill -- Not for the Day
Lesson Essential Question:
How can you divide objects among a group into equal parts?
What do students need to learn to be able to answer the Essential Question?
Activating Strategy:
Word Splash
Partners discuss and record connections with the vocabulary. Example: all of a set is the denominator
Next, have partners to took at models or sets and write the fraction names for the shaded part.(workbook p.
85)
Key vocabulary to preview:
fraction numerator denominator shaded area proper fraction area
fractional part
Teaching Strategies:
Graphic Organizer:
Picture It
Instruction:
Use the organizer for students to draw the following word problem.
Anna, Tim, Mark, and Deb are sharing 3 quesadillas. What fractional amount does each one get? Students divide each quesadilla into equal parts. Each person get 1 piece from each quesadilla. So, each person get 3 pieces as 3/4 of one quesadilla. They write 3--4 =3/4
Talk About the Lesson
Explain why one piece from each quesadilla si the same as 3/4 of one quesadilla.(All pieces are the same size and each person gets 3 pieces)
How is division used in fractions? (Division can be used to divide the objects into equal parts where the parts
Topic: Fractions, Decimals,Percents, and Ratios
Subject(s): Math
Concept: Meanings of Fractions
5. Acquisition Lesson
Days: 60
Grade(s): 5th
are fractions of a whole)
Complete assignments using partners or independently.
Assignment and/or Assessment:
Assignments: workbook p. 399
Enrichment worksheet p. 86
Problem solving p. 86
Assessment: Test taking Practice 7-2 (Teachers Edition p. 399)
Summarizing Strategy:
Create a Learning Bookletave
Have students to describe how to divide 6 pizzas eqully among 5 friends. They should include diagrams in their descriptions
Differentiation:
Pull students into small groups that need to be scaffolded for more instruction.
Time (in days):
0
Topic: Fractions, Decimals,Percents, and Ratios
Subject(s): Math
Concept: Meanings of Fractions
5. Acquisition Lesson
Days: 60
Grade(s): 5th
Plan for the Concept, Topic, or Skill -- Not for the Day
Lesson Essential Question:
What is a mixed number?
What do students need to learn to be able to answer the Essential Question?
Assessment Prompt 1: Why do I multiple the denominator to the whole number when changeing a mixed number to an improper fraction?
Activating Strategy:
Partners discuss the following: I know that 3 3/7 means..... what? Partners should break the fraction apart into wholes and parts. Then count all the parts to find the mixed number.
Key vocabulary to preview:
improper fraction mixed number
Teaching Strategies:
Graphic Organizer:
Frayer Model
Instruction:
In whole group, introduce the vocabulary by creating models and a definition. Discuss examples (text p. 400) Students should connect that division was used to create a mixed number. On the frayer, model examples on how to change an improper fraction into a mixed number. Also, model how to change mixed number into an improper fractionl. Have partners to practice (p,401). Students model examples with the whole class in discussionl. Independent practice complete text p. 401 or workbook p. 87.
Topic: Fractions, Decimals,Percents, and Ratios
Subject(s): Math
Concept: Meanings of Fractions
5. Acquisition Lesson
Days: 60
Grade(s): 5th
Assignment and/or Assessment:
Textbook p. 400-401 and 404-405
Workbook p. 86,87,88,89
Extending Thinking Activity:
Deductive Reasoning
Complete activity: Fraction Lineup (TEp. 404B). Follow the directions in the manuel. Continue with other fractions. (Students draw a numberline and place points then order fraction from least to greatest).
Summarizing Strategy:
Reflection Questions
How do change a mixed number into an improper fraction?
How do you change an improper fraction into a mixed number?
Differentiation:
Use smaller numbers in fractions and allow students to use a multiplication chart.
Time (in days):
5
Topic: Fractions, Decimals,Percents, and Ratios
Subject(s): Math
Concept: Equivalent Fractions
5. Acquisition Lesson
Days: 60
Grade(s): 5th
Plan for the Concept, Topic, or Skill -- Not for the Day
Lesson Essential Question:
How do you find equivalent fractions?
What do students need to learn to be able to answer the Essential Question?
Activating Strategy:
Prediction Guide
Look at the shaded part of a set. Can you name it 3 different ways.
Key vocabulary to preview:
equivalent fraction(s)
Teaching Strategies:
Graphic Organizer:
Fraction Strips
Instruction:
Using examples from the text p. 410, have students to discuss how you can name a part in more than one way. Fractions strips should be used to model each set/shaded part. Continue with models models on p. 411 as whole group. Partners work in workbook p. 91. Discuss workbook orally. Have students display their work for the whole class discussion.
Next, model for the class how to find equivalent fractions using the multipying and dividing method. Discuss each model. Give partners examples to complete and discuss each orally.
Assignment and/or Assessment:
Textbook p. 410 - 413 Use a models and oral instruction. Assessment: Test taking practice 7-8
Summarizing Strategy:
Topic: Fractions, Decimals,Percents, and Ratios
Subject(s): Math
Concept: Equivalent Fractions
5. Acquisition Lesson
Days: 60
Grade(s): 5th
Study Cards
Have students to create study cards for an absent student to use for the test. Students should model using multiying and dividing and us explanations on their cards.
Differentiation:
Below Level us Exercise 11-20, 22-28
Early Finishers: Have students name another fraction in Exercises 11-15.
Resources and Materials:
Textbook p. 410-413
Workbook p. 91-92
Time (in days):
5
Topic: Fractions, Decimals,Percents, and Ratios
Subject(s): Math
Concept: Simplest Form
5. Acquisition Lesson
Days: 60
Grade(s): 5th
Plan for the Concept, Topic, or Skill -- Not for the Day
Lesson Essential Question:
How can you find the greatest common factor?(GCF)
What do students need to learn to be able to answer the Essential Question?
Teaching Strategies:
Time (in days):
0
Topic: Fractions, Decimals,Percents, and Ratios
Subject(s): Math
Concept: Simplest Form
5. Acquisition Lesson
Days: 60
Grade(s): 5th
Plan for the Concept, Topic, or Skill -- Not for the Day
Lesson Essential Question:
How can you write a fraction in simplest form?
What do students need to learn to be able to answer the Essential Question?
Teaching Strategies:
Time (in days):
0
Topic: Fractions, Decimals,Percents, and Ratios
Subject(s): Math
Concept: Comparing and Ordering Fractions and Mixed Numbers
5. Acquisition Lesson
Days: 60
Grade(s): 5th
Plan for the Concept, Topic, or Skill -- Not for the Day
Lesson Essential Question:
How can you compare and order fractions?
What do students need to learn to be able to answer the Essential Question?
Teaching Strategies:
Time (in days):
0
Topic: Fractions, Decimals,Percents, and Ratios
Subject(s): Math
Concept: Comparing and Ordering Fractions and Mixed Numbers
5. Acquisition Lesson
Days: 60
Grade(s): 5th
Plan for the Concept, Topic, or Skill -- Not for the Day
Lesson Essential Question:
How can you compare and order mixed numbers?
What do students need to learn to be able to answer the Essential Question?
Teaching Strategies:
Time (in days):
0
Topic: Fractions, Decimals,Percents, and Ratios
Subject(s): Math
Concept: Fractions and Decimals
5. Acquisition Lesson
Days: 60
Grade(s): 5th
Plan for the Concept, Topic, or Skill -- Not for the Day
Lesson Essential Question:
What can we learn from reading, writing, ordering and comparing decimals?
What do students need to learn to be able to answer the Essential Question?
Teaching Strategies:
Time (in days):
0
Topic: Fractions, Decimals,Percents, and Ratios
Subject(s): Math
Concept: Fractions and Decimals
5. Acquisition Lesson
Days: 60
Grade(s): 5th
Plan for the Concept, Topic, or Skill -- Not for the Day
Lesson Essential Question:
How can you write a fraction as a decimal?
What do students need to learn to be able to answer the Essential Question?
Teaching Strategies:
Time (in days):
0
Topic: Fractions, Decimals,Percents, and Ratios
Subject(s): Math
Concept: Fractions and Decimals
5. Acquisition Lesson
Days: 60
Grade(s): 5th
Plan for the Concept, Topic, or Skill -- Not for the Day
Lesson Essential Question:
How can you use division to change a fraction to a decimal?
What do students need to learn to be able to answer the Essential Question?
Teaching Strategies:
Time (in days):
0
Topic: Fractions, Decimals,Percents, and Ratios
Subject(s): Math
Concept: Fractions and Decimals
5. Acquisition Lesson
Days: 60
Grade(s): 5th
Plan for the Concept, Topic, or Skill -- Not for the Day
Lesson Essential Question:
How can you locate fractions and decimals on the same number line?
What do students need to learn to be able to answer the Essential Question?
Teaching Strategies:
Time (in days):
1
Topic: Fractions, Decimals,Percents, and Ratios
Subject(s): Math
Concept: Solve real world problems using multiple strategies and justify reasonableness by estimation.
5. Acquisition Lesson
Days: 60
Grade(s): 5th
Plan for the Concept, Topic, or Skill -- Not for the Day
Lesson Essential Question:
How do you solve real world problems using fractions and decimals?
What do students need to learn to be able to answer the Essential Question?
Teaching Strategies:
Time (in days):
0
Topic: Fractions, Decimals,Percents, and Ratios
Subject(s): Math
Concept: Solve real world problems using multiple strategies and justify reasonableness by estimation.
5. Acquisition Lesson
Days: 60
Grade(s): 5th
Plan for the Concept, Topic, or Skill -- Not for the Day
Lesson Essential Question:
How can you justify the reasonableness of an answer to a problem?
What do students need to learn to be able to answer the Essential Question?
Teaching Strategies:
Time (in days):
1
Topic: Fractions, Decimals,Percents, and Ratios
Subject(s): Math
Concept: Fraction Operations
5. Acquisition Lesson
Days: 60
Grade(s): 5th
Plan for the Concept, Topic, or Skill -- Not for the Day
Lesson Essential Question:
How can you find the least common denominator of two fractions?
What do students need to learn to be able to answer the Essential Question?
Teaching Strategies:
Time (in days):
0
Topic: Fractions, Decimals,Percents, and Ratios
Subject(s): Math
Concept: Fraction Operations
5. Acquisition Lesson
Days: 60
Grade(s): 5th
Plan for the Concept, Topic, or Skill -- Not for the Day
Lesson Essential Question:
How do you use the LCD to add and subtract fractions with unlike denominators?
What do students need to learn to be able to answer the Essential Question?
Teaching Strategies:
Time (in days):
0
Topic: Fractions, Decimals,Percents, and Ratios
Subject(s): Math
Concept: Fraction Operations
5. Acquisition Lesson
Days: 60
Grade(s): 5th
Plan for the Concept, Topic, or Skill -- Not for the Day
Lesson Essential Question:
How do you add and subtract fractions with like denominators?
What do students need to learn to be able to answer the Essential Question?
Teaching Strategies:
Time (in days):
0
Topic: Fractions, Decimals,Percents, and Ratios
Subject(s): Math
Concept: Fraction Operations
5. Acquisition Lesson
Days: 60
Grade(s): 5th
Plan for the Concept, Topic, or Skill -- Not for the Day
Lesson Essential Question:
How do you add and subtract mixed numbers?
What do students need to learn to be able to answer the Essential Question?
Teaching Strategies:
Time (in days):
0
Topic: Fractions, Decimals,Percents, and Ratios
Subject(s): Math
Concept: Fraction Operations
5. Acquisition Lesson
Days: 60
Grade(s): 5th
Plan for the Concept, Topic, or Skill -- Not for the Day
Lesson Essential Question:
How do you multiply and divide fractions using pencil and paper?
What do students need to learn to be able to answer the Essential Question?
Teaching Strategies:
Time (in days):
0
Topic: Fractions, Decimals,Percents, and Ratios
Subject(s): Math
Concept: Percents
5. Acquisition Lesson
Days: 60
Grade(s): 5th
Plan for the Concept, Topic, or Skill -- Not for the Day
Lesson Essential Question:
What does percent mean?
What do students need to learn to be able to answer the Essential Question?
Teaching Strategies: