Curriculum Guide
Grade 4 – Math Standard 1.2
Math.1.2 - Different models and representations can be used to compare fractional parts.
Related Colorado Department of Education Sample Units:

Fraction Frenzy (Concepts: Increasing, decreasing, numerators, denominators, fractions, factor, equivalence, comparison, referent unit,
whole, benchmark fractions, estimation, relative size, common denominator/numerator, decompose, sum, addition, subtraction, properties of
operations, relationship, mixed number, equivalent fractions, decimals, word problems, joining, separating, unit fractions, multiple)
Essential Questions - 21st Century Skills and Readiness Competencies (District):
1. How can you use drawings or models to show that two fractions are equivalent?
2. How can you generate equivalent fractions?
3. How can you prove that a fraction is greater than, less than, or equal to another
fraction?
4. How can you build a fraction from a unit fraction?
5. How do you add and subtract fractions?
6. How can you use visual models to show that a fraction is the sum or difference of
two fractions with the same denominator?
7. How do you add and subtract mixed numbers?
8. How can you use your understanding of addition and subtraction of fractions to
help you solve real-world problems?
9. How do you multiply fractions by whole numbers?
10. How can a fraction be expressed as a multiple of a unit fraction?
11. How can you use a visual model to represent multiplication of whole numbers and
fractions?
12. How can you apply your knowledge of multiplying fractions when solving word
problems?
Evidence Outcomes (District):
1. Explain equivalence of fractions using drawings and models.
2. Use the principle of fraction equivalence to recognize and generate equivalent
fractions.
3. Compare two fractions with different numerators and different denominators,and
justify the conclusions.
4. Build fractions from unit fractions by applying understandings of operations on whole
numbers.
5. Apply previous understandings of addition and subtraction to add and subtract
fractions.
6. Compose and decompose fractions as sums and differences of fractions with the
same denominator in more than one way and justify with visual models.
7. Add and subtract mixed numbers with like denominators.
8. Solve word problems involving addition and subtraction of fractions referring to the
same whole and having like denominators.
9. Apply and extend previous understandings of multiplication to multiply a fraction by a
whole number.
10. Express a fraction a/b as a multiple of 1/b.
11. Use a visual fraction model to express a/b as a multiple of 1/b, and apply to
multiplication of whole number by a fraction.
12. Solve word problems involving multiplication of a fraction by a whole number.
Academic Vocabulary (District):
fraction
numerator
denominator
equivalent
compare
< (is less than)
>(is greater than)
=(is equal to)
whole number
mixed number
unit fraction
Assessment (District):
1-2. Use this worksheet to assess finding equivalent fractions.

1-2. Equivalent Fractions Assessment
1-3. Use the rubric included to assess this performance task. Exemplars are included.

1-3. "Picking Fractions" Rubric
4-6. Use the assessment suggestions included in this unit.

4-6. Building Fractions from Unit Fractions
5. Use the assessment included in this lesson.

5. Adding Fractions Assessment
1-5. Use the rubric to assess the "Lots and Lots of Chocolate" Performance Task.

1-5. Rubric for "Lots of Chocolate" Performance Task
7. Use this sheet to assess adding mixed numbers.
visual model
common denominator/like denominator

See: Math Drills.com
o
7. Adding Mixed Numbers Assessment
1-8. Use the assessments and rubrics included in this unit.

Fractions Unit
9-11. Use the last two pages of this unit to assess multiplying fractions by whole
numbers.

9-11. Multiplying Fractions by Whole Numbers Unit
9,12. Use this practice sheet to assess multiplying fractions by whole numbers. Words
problems are included.

9,12. Multiplying Fractions by Whole Numbers Assessment
Suggested Activities/Strategies (District):
1-2a. Using a SmartBoard, display this lesson on finding equivalent fractions.

1-3. Equivalent Fractions Performance Task
1-2b. Play the Matching Game to practice finding equivalent fractions.

1-2b. Matching Game for Equivalent Fractions

1-2a. Explanation of How to Generate Equivalent Fractions
1-3. Complete the "Picking Fractions" Performance Task in which students match
equivalent fractions and justify their answers.
3. Play the fraction game to compare and order fractions with denominators up to 100.

3. Comparing Fractions Game
4-6. Use this comprehensive unit plan to teach how to build fractions from unit
fractions. Ideas for assessment and differentiation are included.

4-6. Unit on Building Fractions from Unit Fractions
5. Follow the lesson plan for Adding Fractions with Denominators of 10 and 100.

5. Adding Fractions Lesson Plan
1-5. Complete "Lots and Lots of Chocolate" Performance Task. Students must apply
their knowledge of comparing fractions, finding equivalent fractions, and adding
fractions.

1-5. "Lots of Chocolate" Performance Task
5-6. Watch the videos explaining adding and subtracting like fractions. Play the Fruit
Shoot Game.

5-6. Explanation/Lesson of How to Teach Adding/Subtracting Fractions

5-6. "Fruit Shoot" Game

5-6. Study Jams Video
5-7. Play the Jeopardy Game to practice adding and subtracting fractions and mixed
numbers.

5-7. Jeopardy Game
7. Use this lesson to teach and model adding and subtracting mixed numbers.

7. Lesson on Adding and Subtracting Mixed Numbers
1-8. Follow this comprehensive unit to teach multiple fraction concepts. Performance
tasks are included.

1-8. Fractions Unit

Check out these units on fractions
9-11a. Use this lesson (displayed on a SmartBoard, if possible) to teach multiplying
fractions by whole numbers.

9-11a. Multiplying Fractions by Whole Numbers Lesson
9-11b. Play the linked game to practice multiplying fractions by whole numbers.

9-11b. Multiplying Fractions by Whole Numbers Game
9-11c. Follow this unit plan to teach multiplying fractions by whole numbers.

9-11c. Unit for Multiplying Fractions by Whole Numbers
Resources/Technology (District):

Fractions Games

Fractions Activities

Games for Building Fractions

Building Fractions Unit

Explanation of Multiplying Fractions by Whole Numbers

Multiplying Fractions Game

Unit for Multiplying Fractions and Whole Numbers

Lesson on Building Fractions from Unit Fractions

Illuminations from NCTM – Great Lessons and Units supporting all grades
levels

Multiple Links to Games/Interactives
9-11d. Watch the video explaining the multiplying of fractions and whole numbers.

9-11d. Multiplying Fractions by Whole Numbers Video
5-12. Use this comprehensive unit to teach adding, subtracting, and multiplying
fractions. Performance tasks are included.

Fractions Unit

Check out these units on fractions