Lesson objective: Solve more complex word problems that compare fractions with denominators of 10 and 100.

This lesson provides an opportunity for students to apply their knowledge and understanding of comparing fractions to a real situation. Students are asked to compare routes from a starting point in town and students have to choose the route that is the shortest.

Key Concept students will use:

- We can use place value understanding to compare fractions that refer to the same whole.

Skills students will use:

- Understanding equivalent fractions (Grade 3, Unit 10)
- Comparing Fractions (Grade 3, Unit 11)
- Understanding fraction equivalence and comparison (Grade 4, Unit 5)

Students engage in Mathematical Practice 7 (Look for and make use of structure) as they use organizers to work through a task. They then use that organization to answer questions as they look to find patterns and repeated reasoning that can help them solve more complex problems .

**Key vocabulary: **

- denominator
- equivalent
- flat
- greater than
- less than
- model
- number line
- numerator
- representation
- rod
- unit
- tenths
- hundredths

**Special materials needed:**

- base 10 manipulative
- paper copies of flats
- paper copies of rods
- tiles