The Simplifying Rational Expressions Problem gives students an opportunity to find the reduced form of a rational expression. Students can use problem solving techniques to find the solutions to the accompanying questions. The problem includes a rubric and answer key. The matching activity that asks students to find the factors and simplified form of the expressions. The problem can be used as a formative assessment, activity, or homework. It can be completed cooperatively or independently. The
The Algebra through Geometry Problems ask students to investigate two challenging geometric pattern problems by building quadratic and cubic equations. Students will derive the equations after going through a few guided steps. The rubrics and answer keys can be used by the students and/or teacher. There are three supporting activities that compliment the challenge problems. Topics covered in the problems and activities: Analyze patternsMake charts and tablesFind quadratic equationsUse the cubic
The Orchard Problem offers a comprehensive review of linear and quadratic methods. It can be assigned in part or in its entirety as a review of problem solving procedures. Students are asked to choose their preferred strategies in all sections of the problem except C, D, or E. Topics covered in problem: Square numbersx and y-interceptsSquare rootsPatterns and functionsFinite DifferencesPoint-slope formSlope-intercept formGraphingSystems of equationsQuadratic formulaCompleting the squareFunction
I have taught and consulted in public, private, and parochial schools since 1978. As a math consultant, I have worked with grades Pre-K through 12.
Teaching style
Hands-on, problem solving
Awards & shining teacher moments
Vermont American Star of Teaching - U.S. Department of Education,
UVM/GIV Engineering Institute Teacher Recognition - VT (2 awards),
Vermont Outstanding Teacher,
Laudus Veram Magistram award - St.Johnsbury Academy, VT
My own education history
I have multiple Mathematics Education degrees and additional course work that focused on Pre-K through 12 mathematics.
Additional biographical information
I have taught college classes that offered my students dual enrollment.
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