Transcript Math Acceleration

Math Acceleration
Challenges, priorities and pathways
Meeting Objective
Develop a guidance document and
recommendations for acceleration of students in
mathematics
Purpose of document
• Providing recommendations for acceleration of students
in mathematics
Structure and content of
guidance document
• Rationale: A clearly stated purpose
• Who gets accelerated
• When does acceleration happen
• What is the purpose of acceleration
• Pathways for acceleration
• Identification of topic specific to grade level
• Considerations for each option given
• Other district decisions about acceleration
• Options for HS acceleration
• Others?
Background information
•Factors influencing
acceleration
•Part 100
Factors influencing
• State Education Law
• Part 100.4d
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Parental requests
Course loads for instructors and guidance
District missions
Student background knowledge
College dual credit
Part 100.4d:
• 100.4 Program requirements (d)
• Public school students in grade eight shall have the opportunity to take high
school courses in mathematics and in at least one of the following areas: …
• Credit may be awarded for an accelerated course only when at least one of the
following conditions has been met:
• accelerated students attend classes in a high school with high school students and
pass the course on the same basis as the high school students. Credit is awarded
by the high school; or
• the student passes the … Regents examination
• In cases where no … state exam…
• Such opportunity shall be provided subject to the following conditions:
• The superintendent, or his or her designee, shall determine whether a student has
demonstrated readiness in each subject in which he or she asks to begin high
school courses in the eighth grade leading to a diploma.
• A student shall be awarded high school credit …[if they pass] the [allowed exams].
• Courses taken pursuant to this subdivision may be substituted for the
appropriate requirements set forth in subdivision (b) of this section.
Shall: “has a duty to, or is required to” (U.S. Legal.com)
What is acceleration?
• “…Students in grade eight shall have the opportunity to take high
school courses in mathematics …” (Part 100.4d)
or
• Students have an opportunity to take Calculus or other advanced
courses during high school. (Reference Appendix A)
Question
• Is it appropriate to compress Middle School?
Middle School
• Ratios and
Proportional
Relationships
• Rational Numbers
• Expressions and
Equations
• Percent and
Proportional
Relationships
• Statistics and
Probability
• Geometry
Grade 8
• Ratios and Unit
Rates
• Arithmetic
Operations
Including Dividing
by a Fraction
• Rational Numbers
• Expressions and
Equations
• Area, Surface Area,
and Volume
Problems
• Statistics
Grade 7
Grade 6
Modules
• Integer Exponents
and Scientific
Notation
• The Concept of
Congruence
• Similarity
• Linear Equations
• Examples of
Functions from
Geometry
• Linear Functions
• Introduction to
Irrational Numbers
Using Geometry
Question
• Are 8th Grade and Algebra similar?
8th Grade and Algebra
Comparison
8th Grade
Algebra
•Exponents and Sci Notation
•Congruence
•Similarity
•Linear Equations
•Functions from Geometry
•Linear Functions
•Intro to Irrationals in Geometry
•Graphs and Equations
•Stats
•Linear and Exponent functions
•Polynomial and quadratic
•Modeling equations and functions
Pathways for acceleration in
Middle School
•Discussion on Implication for
MS pathways
• Adoption dilemma during transition
•Identify specific maps
pathways
(modules/standards)
Pathway Creation
• Define the pathway
• Identify modules/topics/standards that will need shifting
• Describe the implications of pathway
Middle School Pathways
At Grade Level
6
7
8
Plan A: Module Shift
6th + 7th (2M)
7th + 8th (3M)
8th + A1
Plan B: 7-8 compression
6
7th+ ½ 8th
½ 8th+ A1
7
A1
Plan C: Lose 8th Grade
6
*Problem: Trig of Right triangle necessary for
Algebra 2 is covered in Module 2(Similarity) of
Geometry Course. Law of Sines & Law of Cosines
Are (+) topics.
Accelerated Math MS: Plan A
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6
th
7
th
8
th
9
All 6th
Remaining 7th
Remaining 8th
Geometry
or
Two-7th Grade
Modules
Three- 8th Grade
Modules
Algebra
Algebra 2
Accelerated Math MS: Plan B
th
7
8th
7th
8thb
9th
Geometry
8tha
Algebra
Accelerated Math MS: Drop 8th
Not Recommended!! Grade
th
7
8th
9th
7th
Algebra
Geometry
MS and HS Pathways
Key
A1
Algebra 1
G
Geometry
A2
Algebra 2
PC
Pre Calculus
AP
AP Course
A1E
Algebra 1 Enhanced
Other district decisions about
acceleration
•Pathways for acceleration in
High School
•Discussion on Implication for
HS pathways
HS Pathways
9
10
11
12
A1
G
A2
PC
GE (+)
A2E (+)
AP
G and/or A2
Pre-Calculus
AP
At Grade Level
Enhanced Acceleration: High Achiever
A1E
Acceleration: Concurrently
A1 and/or G
Who should be accelerated?
•Criteria
•Acceleration Decision Point
•Grade level options
•Pathway flexibility (onramps/off-ramps)
Who should be accelerated?
• Criteria to consider
• Common district/regional assessments
• Observational data/ teacher recommendation
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• Consistent academic engagement and curiosity
• Demonstrates many of the math practices
• Good work ethic
• Students who love math
Student asks to be accelerated
Prior course performance
Consider multiple consistent measures (rubric/checklist)
Ranking/weighting
Committee with all stakeholders (parents included) create criteria
Acceleration Decision Points
Considerations
• On-going process for up to and including H.S.
• Multiple on-off ramps
• Allows for individualized acceleration
• H.S. pathways allow non-accelerated M.S. students to take AP
Calculus
• Transition year plans
• Ensure the student has a strong background in common core
mathematics standards
• Consider enrichment at earlier grades rather than early
acceleration
• The current common core standards are accelerated/enriched
in comparison to the previous standards
Rationale for acceleration
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Increased Rigor of Curriculum
Current Acceleration plans rely on Middle School compression
To preserve AP and College Credit opportunities
To provide more flexibility for college and career readiness
Thanks
Jack McLoughlin [email protected]
Anne Marie Voutsinas [email protected]