District 11 Educational Support Services
Mathematics

Welcome


"Welcome to the Mathematics Department; the voice of mathematics education, providing vision, leadership, and professional development to support teachers in ensuring mathematics learning of the highest quality for all students in District 11." (adapted from
http://www.nctm.org)
~ Dora Gonzales,
K-12 Mathematics Coordinator gonzat@d11.org


"Natural numbers are better for your health."
"Decimals have a point."
"Calculus has its limits."
"Geometry is just plane fun."
 


"All the effects of nature are only
 mathematical results of a small
number of immutable laws."
~ La Place



"The mathematical rules of the universe
are visible to men in the
form of beauty."
~ John Michel

"In the past, simply advancing in computation was good enough. In the world today, colleges and employers are looking for thinking, reasoning and problem solving skills, not just arithmetic skills. Assessing students throughout the year using a variety of methods and adjusting instruction accordingly can help each student reach his or her potential in mathematics."
~ Carol Ann Tomlinson & Susan Demirsky Allan
Leadership for Differentiating Schools and Classrooms

"Number is a rich, many-sided domain whose simplest forms are comprehended by very young children and whose far reaches are still being explored by mathematicians. Proficiency with numbers and numerical operations is an important foundation for further education in mathematics and in fields that use mathematics."
~ National Research Council, 2001

 




"Music is the pleasure the human mind experiences from counting without being aware that it is counting."
~ Leibniz
 

"Mathematics is a
more powerful instrument
of knowledge than any other
that has been bequeathed to us
by human agency."
~ Descartes





Higher Order Mathematics Demands
"In the United States, it is widely accepted that elementary mathematics is ‘basic,’ superficial, and commonly understood…Elementary mathematics is not superficial at all, and anyone who teaches it has to study it hard in order to understand it in a comprehensive way."
~ Dr. Liping Ma,
Renowned math scholar and researcher, University of California, Berkeley, 1999

 

News

District 11 Math & Science Partnership With Intel Receives National Recognition
Irving Middle School and Mitchell High School's Gateway to Technology and Project Lead the Way received recognition as models for other states and districts in the nation. The programs focus on recruiting students into math, science and technology careers. With financial and mentoring support from Intel, students in the program build and race CO2 powered cars, fly bottle rockets, operate robotic arms and use Auto Desk Inventor, a Computer Assisted Design program. As part of the program, the Society of Manufacturing Engineers Foundation will offer college scholarships for students in the program. Read more...

What We Believe

Vision & Mission: The mission of the Colorado Springs District 11 mathematics community is to ensure all students have the opportunity and the support necessary to learn meaningful mathematics with depth and understanding using methods of mathematical inquiry and applying concepts and skills in a variety of contexts where mathematics is a tool used to understand and interpret our world for the global economy of the twenty-first century. We support the shared vision and mission of Colorado Springs School District 11 by:

  • collaborating with members of professional learning communities to develop, implement, and evaluate standards-based coherent aligned mathematics curriculum to increase student achievement;
  • using research-based and evidence-based best practices in the teaching of mathematics, K-12.
About Mathematics in District 11: Mathematics educators teach students the content knowledge, problem-solving skills, communication skills, and technology skills necessary to understand and interpret our world in the twenty-first century. The need to understand and be able to use mathematics in everyday life and in the workplace has never been greater and will continue to increase in these times of extraordinary and accelerating change. At all levels, mathematics courses are focused on core indicators of learning based on the Colorado Model Content Standards and articulated in the curriculum alignment guides.

The Elementary Curriculum, grades K – 2 focus on building number sense skills developing the understanding of ten. Grades 3 – 5 continue developing number sense through 1,000,000 and computation skills focusing on computational fluency. Students focus not only on computation and number sense, but also, algebraic concepts of patterns, probability/statistics, geometry and measurement.

Middle School Curriculum, grades 6 – 8 prepares students for the high school mathematics courses by addressing all six state standards. High school students focus on developing algebraic understanding which is the prerequisite for higher level thinking and understanding of mathematics. High school courses include Advanced Placement courses of Calculus and Statistics.

Mathematics educators are dedicated to the improvement of classroom instruction in mathematics at all levels. They also realize new knowledge, tools, and ways of doing and communicating mathematics continue to emerge and evolve. They are also aware that in this changing world, those who understand and can do mathematics will have significantly enhanced opportunities and options for shaping their futures.

  • Algebraic Thinking was piloted for 6th and 7th grades during the 2007-2008 school year at Mann, Russell, and Irving Middle Schools. This innovative, research-based program has proven results in other districts, and includes use of technology to help students conceptualize algebraic formulas. See the Algebraic Thinking Parents Page for more information.

  • The Use of Calculators in Elementary Math - describes how often and for what purpose calculators are used at the elementary level.

  • Facts Behind the Video - provides relevant information about a web-based video criticizing instructional approaches used in Everyday Math. Learn the true facts behind the misrepresentation.

Standards-Based Instruction

The Colorado Model Content Standards for Mathematics were developed by Colorado math teachers and adopted by the Colorado State Board of Education on June 8, 1995. Three questions guided the development of these standards:

  • What is mathematics?
  • What does it mean to know, use, and do mathematics?
  • What mathematics should every Colorado student learn?
The Colorado Model Content Standards for Mathematics were reviewed by the Colorado Department of Education during the 2004-2005 school year concluding with the report titled The State’s Prime Numbers. No changes to the Colorado Model Content Standards for Mathematics were recommended. For additional information visit the Colorado Department of Education Math Standards and Assessment website

The Colorado Model Content Standards were based on the National Council of Teachers of Mathematics (NCTM) Principles and Standards. For additional information visit:
http://www.nctm.org/

 

Curriculum

An overview of the suggested curriculum for each quarter within each grade level is listed below.

Yearly Overviews Curriculum Standards, Resources, and Instructional Supports
Grade K Quarter 1 Quarter 2 Quarter 3 Quarter 4
Grade 1 Quarter 1 Quarter 2 Quarter 3 Quarter 4
Grade 2 Quarter 1 Quarter 2 Quarter 3 Quarter 4
Grade 3 Quarter 1 Quarter 2 Quarter 3 Quarter 4
Grade 4 Quarter 1 Quarter 2 Quarter 3 Quarter 4
Grade 5 Quarter 1 Quarter 2 Quarter 3 Quarter 4

Middle School Courses - Highlighted courses include online curriculum. For more information on course requirements and Frequently Asked Questions, visit the Middle School Math Virtual Counselor.

Grade 6 Grade 7 Grade 8
Math 6 Math 7 Math 8
Pre AP Math 6 Pre AP Math 7 Pre AP Algebra 8
Math 6 SAIL
Irving & West Middle School
Math 7 Sail
Irving & West Middle School
Math 8 SAIL
Irving & West Middle School
IBMYP Math 6
North Middle School
IBMYP Math 7
North Middle School
IBMYP Math 8
North Middle School
Math 6 Accelerated Math 7 Accelerated Math 8 Accelerated Algebra 1/2
  Math 7 Double Accelerated Algebra 1/2 Math 8 Double Accelerated
Geometry 1 Honors
  Pre AP Algebra 7
 
Pre AP Geometry 1
Pre AP Trans Algebra/Geometry 1

High School Courses - For more information on course requirements and Frequently Asked Questions, visit the High School Math Virtual Counselor.

 

Consumer Math 1  2 Math Tutorial 1  2  3  4
(Interventions)
Math Essentials 1  2
Mastery Math 1  2 (Interventions)
Foundations in
Algebra 1  2 (Interventions)
Integrated Algebra
& Geometry 1
  2 
3  4  5  6
Integrated Algebra
& Geometry 3H 
4 H 
Algebra
Investigations 1   2
Algebra 1  2  3  4
Algebra Honors 1 
2  3  4
IBMYP Algebra 1 H
2 H  3 H  4 H  4 H
Geometry Investigations 1  2 Geometry Honors 1  2 IBMYP Geometry 1 H
2 H
  3 H
Mathematical
Problem Solving
IB Math Methods
5 SL  6 SL  7 SL  8 SL 
IB Math 7 HL  8 HL
Statistics 1 AP  2 AP Math Analysis/Trig1  2
Functions/Trig 1
 2
Calculus AB 1 AP   2 AP 
Pre Calculus 1 H  2H

Assessment

D11 Quarterly Assessments - also called benchmark tests, these district-created assessments measure student achievement against a norm. The assessments are designed to have a high correlation with the State CSAP and are used to measure student preparedness for CSAP in quarterly stages.

Short-Cycle Assessments - These tests are created at the school or district level and are designed to give quick feedback on students' mastery of skills over a one to two week period.

CSAP - The Colorado Student Assessment Program (CSAP) is a standards-based assessment designed to provide a picture of student performance on state academic content standards and to provide a context for improving public education. Every student in grades 3-10 will be evaluated in reading and writing. Additional testing will be given in math for grades 5-10 and in science for the 8th grade.

End of Course Exams - High school subjects not tested by the CSAP are tested via end of course exams.

Parent Resources

Elementary Math Resources

High School Math Resources

Teacher Resources

Password Protected FOR TEACHER pages - type cssd11\ before your computer login.  The password is your computer password.


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