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Mixed Up? Fix It!

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Lesson Plan

Mixed Up? Fix It! Lesson Plan

Students will be able to convert mixed numbers into fractions greater than 1 with 80% accuracy.

Understanding how to convert mixed numbers to fractions greater than 1 is a fundamental skill that underpins all future operations with fractions, such as multiplication and division. Mastering this concept ensures students have a strong foundation for more complex math.

Audience

5th Grade Small Group

Time

30 minutes

Approach

Direct instruction, guided practice, and independent application.

Materials

Prep

Teacher Preparation

10 minutes

Step 1

Warm-Up: What's a Mixed Number?

5 minutes

  • Display the first slide of the Mixed Up? Fix It! Slide Deck to introduce mixed numbers.
  • Ask students to share what they already know about mixed numbers and fractions.
  • Briefly review the definition of a mixed number and its components (whole number and fraction).

Step 2

Unlocking the Code: Converting Mixed Numbers

10 minutes

  • Transition to the next slides of the Mixed Up? Fix It! Slide Deck that explain the steps for converting a mixed number to a fraction greater than 1.
  • Guide students through the process: multiply the whole number by the denominator, add the numerator, and keep the same denominator.
  • Work through 2-3 examples together on the board or using whiteboards, encouraging students to explain their thinking.

Step 3

Practice Makes Perfect: Guided & Independent Practice

10 minutes

  • Distribute the Conversion Practice Worksheet.
  • Complete the first 1-2 problems together as a group, providing support and clarifying any misconceptions.
  • Allow students to work independently on the remaining problems. Circulate to offer individualized help and assess understanding.

Step 4

Share and Show: Review and Wrap-Up

5 minutes

  • Bring the group back together.
  • Review answers to 2-3 problems from the Conversion Practice Worksheet using the Conversion Practice Answer Key.
  • Ask students to explain their strategies for converting.
  • Address any lingering questions and summarize the key steps for converting mixed numbers to fractions greater than 1.
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Slide Deck

Mixed Up? Fix It!

Converting Mixed Numbers to Fractions Greater Than 1!

Welcome students and introduce the topic. Ask them to think about what a mixed number is.

What are Mixed Numbers?

  • A mixed number combines a whole number and a fraction.
  • Examples: 1 1/2, 2 3/4, 3 1/3
  • They represent values greater than one whole.

Ask students to share their understanding of mixed numbers. Emphasize the whole and fractional parts.

Why Do We Convert?

  • Makes it easier to multiply and divide fractions.
  • Helps us understand the true value of a mixed number.
  • It's a foundational skill for more advanced math!

Explain why this skill is important for future fraction work.

The Big Idea: Conversion Steps

To convert a mixed number to a fraction greater than 1, follow these steps:

  1. Multiply the whole number by the denominator.
  2. Add the numerator to your product.
  3. Keep the original denominator.

Introduce the main steps for conversion.

Step 1: Multiply!

Example: Convert 2 1/3

  • Multiply the whole number (2) by the denominator (3).
  • 2 x 3 = 6

Think: How many thirds are in two whole units?

Walk through Step 1 with an example.

Step 2: Add!

Example: Convert 2 1/3

  • We had 6 from the whole number (2 x 3).
  • Now, add the numerator (1) to that product.
  • 6 + 1 = 7

Think: Add the extra thirds you already have!

Explain Step 2 with the same example.

Step 3: Keep it the Same!

Example: Convert 2 1/3

  • The new numerator is 7.
  • Keep the original denominator (3).
  • So, 2 1/3 = 7/3

This means 7 one-third pieces are the same as 2 whole and 1 one-third piece!

Complete the final step.

Let's Try One Together!

Convert 3 2/5

  1. Multiply: 3 x 5 = ?
  2. Add: ? + 2 = ?
  3. Keep the denominator: ?/5

What do you get?

Work through a new example as a group.

Your Turn! Practice Time!

  • You've got this!
  • Work on your Conversion Practice Worksheet.
  • Remember the steps: Multiply, Add, Keep!
  • I'll be around to help if you have questions.

Introduce the worksheet and explain independent practice.

You Did It!

  • Today, we learned to convert mixed numbers to fractions greater than 1.
  • This skill is super useful for our future fraction adventures!
  • Keep practicing, and you'll be a conversion pro!

Summarize the lesson and reiterate the importance of the skill.

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Worksheet

Conversion Practice: Mixed Up? Fix It!

Name: _____________________________

Directions: Convert each mixed number into a fraction greater than 1. Show your work!

  1. $1\frac{1}{2}$






  2. $2\frac{3}{4}$






  3. $3\frac{1}{3}$






  4. $1\frac{5}{6}$






  5. $4\frac{2}{3}$






  6. $2\frac{1}{5}$






  7. $3\frac{3}{8}$






  8. $5\frac{1}{4}$






  9. $1\frac{7}{10}$






  10. $2\frac{5}{7}$






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Answer Key

Conversion Practice Answer Key

Directions: Convert each mixed number into a fraction greater than 1. Show your work!

  1. $1\frac{1}{2}$

    • Multiply the whole number by the denominator: $1 \times 2 = 2$
    • Add the numerator: $2 + 1 = 3$
    • Keep the denominator: $\frac{3}{2}$



  2. $2\frac{3}{4}$

    • Multiply: $2 \times 4 = 8$
    • Add: $8 + 3 = 11$
    • Keep: $\frac{11}{4}$



  3. $3\frac{1}{3}$

    • Multiply: $3 \times 3 = 9$
    • Add: $9 + 1 = 10$
    • Keep: $\frac{10}{3}$



  4. $1\frac{5}{6}$

    • Multiply: $1 \times 6 = 6$
    • Add: $6 + 5 = 11$
    • Keep: $\frac{11}{6}$



  5. $4\frac{2}{3}$

    • Multiply: $4 \times 3 = 12$
    • Add: $12 + 2 = 14$
    • Keep: $\frac{14}{3}$



  6. $2\frac{1}{5}$

    • Multiply: $2 \times 5 = 10$
    • Add: $10 + 1 = 11$
    • Keep: $\frac{11}{5}$



  7. $3\frac{3}{8}$

    • Multiply: $3 \times 8 = 24$
    • Add: $24 + 3 = 27$
    • Keep: $\frac{27}{8}$



  8. $5\frac{1}{4}$

    • Multiply: $5 \times 4 = 20$
    • Add: $20 + 1 = 21$
    • Keep: $\frac{21}{4}$



  9. $1\frac{7}{10}$

    • Multiply: $1 \times 10 = 10$
    • Add: $10 + 7 = 17$
    • Keep: $\frac{17}{10}$



  10. $2\frac{5}{7}$

    • Multiply: $2 \times 7 = 14$
    • Add: $14 + 5 = 19$
    • Keep: $\frac{19}{7}$



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