Lesson objective: Solve more complex word problems that compare decimals and fractions.

This lesson provides an opportunity for students to apply their knowledge and understanding of comparing decimals and 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 decimals 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: **

- decimal
- 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