# Mathematics Learning

### Gate Crasher Challenge

Students must program their robot to pass through a gate that opens briefly on a specified schedule. Success requires programming a robot to travel at the correct speed, which must be calculated based on the distance to be traveled in the designated amount of time.

Related Mathematics

• Understanding rate
• Interpreting graphical representations
• Understanding linear equations
• Using proportions to solve problems

Common Core State Standards

7th Grade: Ratios and Proportional Relationships

Algebra 1: Interpret functions that arise in applications in terms of the context.

### XBOT Challenge

Students are instructed to program their robot to travel a specified path composed of straightaways and turns. Distance and turn calculations are programmed using robot-wheel rotations as the base unit of measure.

Related Mathematics

• Using proportions to solve problems
• Converting one unit of measurement to another
• Problem solving and calculations involving decimals and fractions
• Understanding place value

Common Core State Standards

4th Grade: Number and Operations – Fractions

Measurement and Data – Conversions

5th Grade: Number and Operations – Fractions

6th Grade: Ratios and Proportional Relationships

### SUMO Challenge

Students design, build and program their LEGO robot to push the opponent off a circular fighting ring. An effective robot must have fast reflexes, brute strength, and the ability to seek out its opponent.

Related Mathematics

• Angle measure, circumference, radius and diameter
• Spatial reasoning
• Symmetry concepts that establish the foundation for success in 2D and 3D geometry

Common Core Standards

4th Grade: Geometry – Recognize a line of symmetry for a two-dimensional figure…

Measurement and Data – Understand concepts of angle and measure angles.