Find a rectangle’s largest modelled area
Connect a quadratic expression with a table and a constrained maximum.
Open lesson 1Build and Use a Quadratic Area Model
Create a constrained area rule, inspect its changes, find a maximum, and solve a target-area equation.
Before you begin
- Expand and factor simple expressions.
- Solve linear equations, evaluate squares, and use rectangle perimeter and area.
Choose by skill rather than age alone. Read with an adult when useful, revisit a lesson, or explore another grade.
Follow the lesson sequence
Write an Area Model from a Perimeter
Translate a fixed perimeter into a quadratic rule and domain.
Open lesson 2Inspect Changing Area Increments
Distinguish nonconstant first differences from a linear rule.
Open lesson 3Find Widths for a Target Area
Solve a quadratic area equation and retain both valid widths.
Open lesson 4Review and transfer
After the lessons, try 4 new review cases and a practical task. Each answer has an explanation and a link back to the related lesson.
Open the unit reviewGuest answers are temporary. Keep your own paper or document; this unit does not certify completion or record a school grade.