# Activities

• • ##### Subject Area

• Standard: National Curriculum 7-10: Number and Algebra: Linear and non-Linear Relationships
• Standard: National Curriculum 7-10: Number and Algebra: Patterns and algebra
• Standard: VCE: Mathematical Methods: Mathematical Methods

• ##### Author Middle
Aust Senior

50 Minutes

• ##### Device
• TI-Nspire™ CX
• TI-Nspire™ CX CAS
• TI-Nspire™ Apps for iPad®
• ##### Software

TI-Nspire™
TI-Nspire™ CAS

3.9

Leap Frog

#### Activity Overview

This classic puzzle requires all the frogs on the left side of the pond to reach the right side and vice versa. How many moves does it take to solve the puzzle? What if there were more frogs? Click on the frogs in this TI-Nspire document to make them move, the moves are counted automatically. Set the number of frogs on each side and start solving!

#### Objectives

ACMNA296 – Graph simple non-linear relations with and without the use of digital technologies and solve simple related equations.

#### Vocabulary

• Quadratic
• Linear
• Dependent Variable
• Independent Variable
• Pattern

#### About the Lesson

Students solve the original problem with 3 frogs on each side of the pond and record the number of moves. The number of frogs on each side of the pond is then changed and systematically explored to determine a relationship between the number of frogs on each side of the pond and the number of moves required to solve the problem. As an extension the number of frogs on each side of the pond is no longer equal. Students are posed a series of guiding questions to help them understand the algebra.