Student Goal

I can work with fractions and mixed numbers using models and number sense.

Why It Matters

Fractions are a major part of 6th grade math, especially when students compare amounts and solve real-world problems.

Warm-Up

Warm-Up 1

Name an equivalent fraction for 1/2.

Warm-Up 2

Which is greater: 3/4 or 2/4?

Warm-Up 3

Write 7/4 as a mixed number.

Short Lesson

Standard Focus:

NC.6.NS: The Number System

Student-Friendly Standard Goal:

I can use fraction size, equivalent fractions, and mixed numbers to solve problems.

  • Fractions compare a part to a whole. The denominator tells how many equal parts make the whole.
  • Equivalent fractions name the same amount. For example, 1/2 and 2/4 are equal.
  • A mixed number combines a whole number and a fraction, like 1 3/4.

Guided Examples

Guided Example 1

Rewrite an Improper Fraction

Write 11/4 as a mixed number.

Step 1

11 / 4

How many whole groups of 4 fit into 11?

Guided Example 2

Compare Same Denominators

Which is greater: 3/8 or 5/8?

Step 1

3/8 and 5/8

What do you notice about the denominators?

Practice

Problem 1

Which fraction is equivalent to 2/3?

Problem 2

Write 9/2 as a mixed number.

Problem 3

Find 3/7 + 2/7.

Problem 4

True or false: 1/2 and 2/4 are equivalent.

Problem 5

Lena eats 2/6 of a pizza. Sam eats 3/6. How much did they eat together?

Reflection

How are you feeling about today's skill?

Optional reflection: Optional prompt: What fraction skill do you want to practice again?