Transcript CalculusCrosswalk

Pathways to Calculus
2000 Mathematics Curriculum
Frameworks
2011 Mathematics Curriculum
Frameworks
Overview
The development of the frameworks was led by a 7person team from the Department of Elementary
and Secondary Education (DESE) with contributions
from several advisory groups as well as grade-span
teacher groups, professional educational
associations and organizations, individual teachers,
administrators, mathematicians, mathematics
education faculty, and parents.
Overview
The 2011 frameworks merged the Common Core
State Standards with additional Massachusetts
standards. Fifty-nine individuals representing pre-K12 teaching and learning, business, educational
associations and university faculty contributed to
their development. In addition 22 DESE and DEEC
staff members with expertise in early childhood, test
development, mathematics, assessment and other
content areas, contributed to the development of the
frameworks.
The learning standards are organized by two-year
grade spans or for single-year courses. The grade
spans are PreK–K, 1–2, 3–4, 5–6, 7–8, 9–10, and
11–12. Revised standards for grades 3, 5 and 7
were added in 2004.
The Frameworks include grade level standards for
pre-kindergarten to grade 8. Each grade identifies a
small number of critical mathematical areas and
provides a coherent grade-to-grade progression.
Grade 8 standards are more rigorous and include
some standards covered in the 2000 Algebra I
course.
High School standards include:
High School standards include a traditional and
an integrated pathway:
Traditional
Integrated
Algebra I
Model Algebra 1
Model Mathematics I
Geometry
Model Geometry
Model Mathematics II
Algebra II
Model Algebra II
Model Mathematics III
“Plus” (+) standards indicate additional mathematics
that students should learn in order to take advanced
courses such as calculus, advanced statistics or
discrete mathematics. Crosswalks documents show
where the 2011 standards go beyond the scope of
the 2000 frameworks.
http://www.doe.mass.edu/candi/commoncore/
Advanced Course
Advanced Courses
Precalculus
Model Precalculus (Standards are more detailed
than 2000 standards.)
Model Advanced Quantitative Reasoning
Pathways to Calculus
2000 Mathematics Curriculum
Frameworks
2011 Mathematics Curriculum
Frameworks
Pathways to take Calculus in high school
DESE provided the following guidance: “if students
are to be able to take a calculus course in grade 12,
they must usually take Algebra I in grade 8” (page 2
of 2000 Frameworks).
Sample sequence:
Grade
6
Grade
7
Algebra I
Geometry
Algebra II
Precalc
Calculus
Detailed pathways to calculus documents are
provided on the DESE website and include 3
options:
1. Compacting in Middle School–Students
complete standards for grades 6,7,8 and
Algebra I by the end of grade 8.
2. Doubling Up in High School–Students take 2
math courses in grade 9 or 10.
3. Enhanced Pathway in High School–Students
accelerate in grade 9 and take Enhanced
Algebra I, Enhanced Geometry, Enhanced
Algebra II.*
*Individual districts have also created enhanced pathways using
the integrated course sequence.