Lesson objective: Apply understanding of rational numbers as distances to solve a problem.

This lesson provides an opportunity for students to apply their knowledge and understanding of converting and adding rational numbers to a real-life situation. Students are asked to draw a map for a grasshopper obstacle course from given directions.

Key Concept students will use:

- Rational numbers have a decimal expansion that repeats either with 0s or a set of repeating digits. The decimal form of rational numbers has the same value and names the same point on the number line as the fraction form of the number.

Skills students will use:

- convert fractions into repeating and finite decimals
- estimate the sum of rational numbers
- estimate the location of rational numbers and sums of rational numbers on a number line

Students engage in Mathematical Practice 1 (make sense of problems and persevere in solving them)** **as they reason about how to add distances with repeating and finite decimals on a number line.

**Key vocabulary: **

- finite decimal
- rational number
- repeating decimal