Common Core: High School - Algebra

This subject covers the foundational concepts and skills of algebra as outlined in the Common Core standards for high school students.

Expressions and OperationsLinear Equations and InequalitiesFunctions and Their Representations
Systems of EquationsQuadratic Equations and ParabolasExponents and Polynomials
Budgeting and Financial PlanningSports Statistics and PerformanceBuilding and Design
Check Your Work and EstimateBreak Down Problems into Smaller Steps
Expressions and Oper...Linear Equations and...Functions and Their ...Systems of EquationsQuadratic Equations ...Exponents and Polyno...Budgeting and Financ...Sports Statistics an...Building and DesignCheck Your Work and ...Break Down Problems ...
Practical Applications

Building and Design

Construction and Creativity with Algebra

Architects and builders use algebra to plan and create amazing structures. Whether calculating the amount of paint needed or designing a ramp, algebraic equations help ensure everything fits and works perfectly.

  • Measurements: Use variables to stand for unknown lengths or areas.
  • Cost estimation: Predict how much materials will cost using equations.

Why Is This Cool?

Algebra turns creative ideas into real things by helping you measure, plan, and check your designs.

Real-World Examples

  • Calculating how much carpet is needed for a room using area formulas.
  • Designing a skateboard ramp with the right angle using equations.

Examples

  • If a rectangle is twice as long as it is wide and the width is \( x \), then the length is \( 2x \) and the area is \( x \times 2x = 2x^2 \).

  • If you have $50 to buy wood at $4 per plank, \( 4x \leq 50 \) tells you how many planks you can buy.

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Check Your Work and Estimate