## Maths 11.5 Linear Inequalities

### PhET Sim: Equality Explorer

Simulation Guide: equality-explorer-html-guide_en_compressed

#### Topics

• Solving Equations
• Inequalities
• Inverse Operations

#### Description

Explore what it means for a mathematical statement to be balanced or unbalanced by interacting with objects on a balance. Discover the rules for keeping it balanced. Collect stars by playing the game!

#### Sample Learning Goals

• Solve and manipulate algebraic equations by applying properties of real numbers (in particular, the inverse properties of addition and multiplication) and properties of equality
• Solve and manipulate algebraic equations by substituting different values for a variable
• Use a balance model to solve an equation for an unknown, and justify your strategies for solving
• Solve an equation using only universal operations

This resource is aligned with Year 11/Form 5 Maths Curriculum:

Unit 5 Linear Inequalities

• Represent inequalities in one variable on a number line
• Solve linear inequalities
• one variable
• multiply and divide an inequality by a negative number
• Convert between verbally and algebraically stated inequalities
• Represent simple linear inequalities on a number plane
• one variable
• two variables
• Represent simultaneous inequalities on a number plane as the intersection of their half planes

All simulations available at http://phet.colorado.edu are open educational resources available under the Creative Commons Attribution license (CC-BY).

Permission is granted to freely use, share, or redistribute PhET sims under the CC-BY license.