Exploring Number and Operation in Secondary Mathematics

Colorado State University - CLTW Math

Center for Learning and Teaching in the West, June 2006



Dr. Paul Kennedy

Janet Oien

Shelly Ray Parsons

Dora Gonzales

Laurie Hillman

Jerry Overmyer


Useful Materials for Participants

Navigating through Number and Operations in Grades 9–12 Teacher Materials

Navigating through Number and Operations in Grades 9–12 Blackline Masters

Holt Algebra 2 Textbook

Website that factors numbers up to 9-digits






Pre-Algebra - Hattie Foucade, Bill Lester, Randy Weiss, Diana Obstfeld

Ratio and Proportion Lesson Plan

Chocolately Trail Mix Lesson

Gorp Trail Mix Lesson

Adult Smoothie Recipe


Algebra I y- David Crismon, AnneMarie Spero, Kathy Woodyard, Bill Lagergren

Elimination Method Lesson Plan

Elimination Method Activity

TI-Interactive Activity



Algebra I x- Sue Everett, Rod Oosterhouse, John Lawless, Kerrie Melby

Integers Lesson Plan and Activity




Geometry - Greta Lawlor, Jane White, Denis Brown, Brian Wright

Landscape Design Lesson Plan

Landscape Design Project Outline




Algebra II - Anne Larson, Rose Sprenger, Martha Cranor, Eric Thompson

Sequences and Series Lesson Plan

Sequences and Series Activity


Useful Math Education Weblinks

Learner Centered Classrooms

Learning Theory from ERIC Digests

Student Centered Learning

Explorations in Learning and Instruction

Understanding by Design Exchange



Shelly's Calculus Materials

Integration Bingo

Is there a problem?

What do you mean Improper?

Group Worksheet 1

Group Worksheet 2

Group Worksheet 3

Group Worksheet 4

Group Worksheet 5

Final Backwards Design for Integration

Integration Exam

Integration Exam Gradesheet




Backward Design Lesson Planning

Backward Design Lesson Plan Template

The Six Facets of Understanding

WHERETO summarizes key elements to consider when designing a learning plan that is effective and engaging.

One Page Template

Two Page Template

Six Page Template

Sample Backward Design Lesson

Understanding by Design Exchange




June 12, Monday


Morning: 10:00 am 1:00 pm

            Number Line

                        Rational Numbers

                        Irrational Numbers


Afternoon: 2:00 pm 5:00 pm         

            Fractions and Percents

            Form Groups


June 13, Tuesday


Morning: 9:00 am 12:00 pm          


Complex Numbers

Afternoon: 1:00 pm 4:00 pm         



                        Finite Fields


June 14, Wednesday

Morning: 9:00 am 12:00 pm

            Number Theory

Number Sets

Counting Primes

Afternoon: 1:00 pm 4:00 pm

            Presentation Preparation


June 15, Thursday


Morning: 8:00 am 11:00 am


                        Fundamental Counting Principle

                        Permutations and Combinations                    

Afternoon: 12:00 pm 3:00 pm

            Group Presentations

Holt Reception: 4:00-6:00 pm


June 16, Friday


Morning: 8:00 am 11:00 am

            Group Presentations  

Afternoon: 12:00 pm 2:00 pm

            Group Presentations