The Arbor Algebra Series
- a student-centered, inquiry-based learning model
- lessons designed for students from 5th through 9th grades
- integrated writing exercises and reflection questions
- problems are embedded in a narrative context
- review problems and reasoning puzzles
- both independent and collaborative student work
- examples of real students' creative problem-solving
“The Arbor Algebra Series was written by teachers in collaboration with their students, with the goal that students of differing mathematical aptitudes might master rigorous content while taking joy in the process. This practice exemplifies the pedagogy of Arbor School.”
- Katherine A. Hawkins, Founder, Arbor School
Jousting Armadillos
An Introduction to Algebra
Jousting Armadillos introduces students to basic algebraic concepts, notation, and operations. Students learn to:
- engage in various forms of inductive and deductive reasoning
- reflect on the nature of variables
- speak the language of algebra
- perform the basic operations with negative numbers
- manipulate algebraic fractions
- solve single-variable problems and resolve inequalities
Crocodiles & Coconuts
Equations in Two Variables
Crocodiles & Coconuts guides students through graphing, equations, and linear and non-linear functions. Students learn to:
- graph lines, ellipses, circles, parabolas, and hyperbolas in the Cartesian coordinate plane
- manipulate functions, formulas, and equations
- understand that mathematical functions, formulas, and equations are the expression of real-world relationships
- solve simultaneous equations and graph simultaneous inequalities
Chuckles the Rocket Dog
A Companionable Guide to Polynomials & Quadratics
Chuckles the Rocket Dog helps students begin to master advanced topics in algebra. Students learn to:
- investigate advanced exponents, scientific notation, and exponential functions
- manipulate polynomials using the four basic operations
- factor polynomials
- solve quadratic equations
- derive the quadratic formula!