Selected InterMath Investigations
Algebra

Graph Transformations:

• Coefficients that Affect the Graph (R – Functions & Equations)
• Moving Parabolas (R - Functions & Equations)
• Properties of Parabolas (R - Graphing)
• X-Intercept Transformation (R - Graphing)
• Varied Slopes & Intercepts (A - Functions & Equations)
• Sliding Graph (A - Functions & Equations)
• Shifting Parabolas (A - Functions & Equations)
• Absolute Value Functions & Transformations (A - Functions & Equations)
• Changing Intercepts (A - Functions & Equations)
• Dilating Coordinates (A – Graphing)

Linear Functions:

• Modifying the Slope and Y-Intercept (R - Functions & Equations)
• Supper with Skiing (R - Functions & Equations)
• Comparing Lines (R - Graphing)
• Burglar Alarm (A - Functions & Equations)
• Composite Functions (A - Functions & Equations)
• Input Equals Output (A - Functions & Equations)
• Zero Coefficients (A - Functions & Equations)
• Triangle from a Line (A - Functions & Equations)
• Does 0 = 0? (A - Functions & Equations)
• Composite Functions (A - Functions & Equations)

Quadratic Functions and Parabolas:

• Equation of a Tangent (R - Functions & Equations)
• Moving Parabolas (R - Functions & Equations)
• Intersecting Functions (R - Functions & Equations)
• Properties of Parabolas (R - Graphing)
• Maximums of Functions (R - Graphing)
• Finding the Maximum (A - Functions & Equations)
• Discriminant (A - Functions & Equations)
• Crossing Curves (A - Functions & Equations)
• Using Roots to Generate an Equation (A - Functions & Equations)

Slope:

• Modifying the Slope and Y-Intercept (R - Functions & Equations)
• Slopes and Angles of Elevation (R - Graphing)
• The Slope of a Curve (R - Graphing)
• Varied Slopes & Intercepts (A - Functions & Equations)
• Late to School (A – Graphing)
• Specific Slopes (A – Graphing)

Maximum and Minimum Problems:

• Moving Parabolas (R – Functions & Equations)
• Efficient Fencing (R – Functions & Equations)
• Finding the Maximum (A - Functions & Equations)

Geometry Relations and Connections:

• Medians of a Triangle (R – Graphing)
• Distance to a Point in a Rectangle (A – Functions & Equations)
• Intersecting Chords (A – Functions & Equations)
• Edge, Face, and Vertex (A – Functions & Equations)
• Area of a Kite (A – Functions & Equations)
• Segments on a Secant (A – Functions & Equations)
• Twice Reflected over Intersecting Lines (A – Functions & Equations)
• Twice Reflected over Parallel Lines (A – Functions & Equations)
• Heron’s Area (A – Functions & Equations)
• Mean Vertex (A – Graphing)
• Splitting Areas (A – Graphing)
• Approximate with Technology:  Trisecting Angle (A – Graphing)
• Almost a Square (R – Patterns)

Generate a Function:

• Piano Frequency (A – Functions & Equations)
• Comparing Temperatures (A – Functions & Equations)
• Pricing Pizzas (A – Functions & Equations)
• Population Changes (A – Functions & Equations)
• Units of Speed (A – Functions & Equations)
• Price of a Car (A – Graphing)
• Temperature Comparisons (A – Graphing)
• Consecutive Odds & Evens (R – Patterns)
• Arranging Toothpicks (R – Patterns)
• Almost a Square (R – Patterns)

Sequences and Series:

• Going Fishing (R – Patterns)
• Infinite Series (R – Patterns)
• Half-Sums (R – Patterns)

Special Patterns:

• Multiplying Rabbits (R – Patterns)
• Fibonacci Extended (R – Patterns)
• Pascal’s Patterns (R – Patterns)

Patterns:

• Patterns in a Table (R – Patterns)
• Choose an Elevator (R – Patterns)
• Raised to the 100th (R – Patterns)
• Summing Multiples (R – Patterns)