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Unpacking the SNA Teaching, Learning & Technology
Framework: MathematicsAugust 2016
Nick Fortune
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Session Objectives
• Develop understanding of the purpose
and functions of curriculum maps
• Become familiar with the structure of
SNA’s Teaching, Learning and
Technology Framework
• Identify curricular connections in support
of horizontal, vertical, and interdisciplinary
alignment within and across instruction
and learning at SNA
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Guiding Question 1:
How are curriculum maps organized for
your content area?
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Friday Institute Team Curriculum Frameworks• Algebra/Geometry• Precalculus• Statistics (semester)
Recommendations for Mathematics Course Offerings
AP Course Options• AP Calculus AB• AP Calculus BC• AP Statistics
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• Modules
• Overview/Description
• Essential Questions
• Standards
• Learning Objectives
• Terminology
• Texts & Resources
• Sample Activities & Assessments
• Sample Lesson Plan
SNA Teaching, Learning & Technology Framework:Mathematics Curriculum Map Structures
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RecommendedMathematics Course Sequences
SEQUENCES GRADE 10 GRADE 11 GRADE 12
1. Algebra/ Geometry
Precalculus AP Calculus AB
2. Algebra/Geometry
Precalculus AP CalculusBC
3. Precalculus AP Calculus AB
AP Statistics
4. Precalculus AP Calculus BC
AP Statistics
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Additional Mathematics Course Sequences(for strong students)
SEQUENCES GRADE 10 GRADE 11 GRADE 12
1. Algebra/ Geometry
and Statistics (1 semester)
Precalculus AP Calculus AB
2. Algebra/Geometry
Precalculus and Statistics (1 semester)
AP Calculus BC
3. Precalculusand Statistics (1 semester)
AP Calculus AB AP Statistics
4. Precalculus and Statistics (1 semester)
AP Calculus BC AP Statistics
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Guiding Question 1:
How are curriculum maps organized for
your content area?
Do you have any questions about the
structure of your content area’s curriculum
maps?
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Guiding Question 2:
How do the curriculum maps inform
instruction?
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Curriculum Maps Instruction
Module
Unit 1
Lesson A
Unit 2
Lesson CLesson B Lesson D Lesson E Lesson F
Standards-based Instruction
Standards-based Assessments
Standards-based
Assessments
Standards-based Assessments
Standards-based Assessments
Standards-based Assessments
Standards-based Assessments
Standards-based Instruction
Standards-based Instruction
Standards-based Assessments
Standards-based Assessments
Standards-based Assessments
Standards-based Instruction
Standards-based Instruction
Standards-based Instruction
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Guiding Question 2:
How do the curriculum maps inform
instruction?
Do you have any questions about how to
use the curriculum maps when writing
your instructional plans?
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Guiding Question 3:
How do the curriculum maps support
vertical coherence?
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Vertical Coherence In Curriculum Maps
Algebra/Geometry Curriculum MapModule A: Functions, Equations, and Systems
Precalculus Curriculum MapModule E: Polynomial and Power Functions
Mathematics courses tend to be easier to consider vertical coherence, many mathematical topics need previous knowledge.
Horizontal may be more difficult!...
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Guiding Question 4:
How do the curriculum maps support
horizontal coherence?
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Horizontal Coherence In Curriculum Maps
Curriculum maps provide the foundation for…• Co-creating Pacing Guides• Co-planning Instruction• Common Assessments• Collaboratively Analyzing Student Data
Where are these things carried out?In your Professional Learning Teams (PLTs)!
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Guiding Question 5:
How do the curriculum maps support
interdisciplinary coherence?
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Interdisciplinary Coherence In Curriculum Maps
Mathematics and Sciences courses oftentimes have the ability to have overlapping objectives. Even though not common, adding writing into a mathematics classroom, aligned with ELA standards is possible and a great thing for your students to experience!
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Guiding Questions 3, 4, & 5:
How do the curriculum maps support
vertical, horizontal, and interdisciplinary
coherence?
Do you have any questions on vertical,
horizontal, and interdisciplinary
alignment within and across curriculum
maps?
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Digital Resources for Mathematics:
GeoGebra and GeoGebra Tube
From: http://www.geogebra.org
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Digital Resources for Mathematics:
Geometer’s SketchPad (GSP)
From: http://www.dynamicgeometry.com/
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Digital Resources for Mathematics:
TinkerPlots
From: https://www.srri.umass.edu/tinkerplots
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Digital Resources for Mathematics:
TinkerPlots
From: https://www.srri.umass.edu/tinkerplots
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Digital Resources for Mathematics:
Illustrative Mathematics
From: https://www.illustrativemathematics.org/
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Digital Resources for Mathematics:
Desmos
From: https://www.desmos.com/
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Digital Resources for Mathematics:
Wolfram Alpha
From: http://www.wolframalpha.com/
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Curriculum Frameworks and
Lesson Planning
• Curriculum framework lesson plans
as examples
• For consistency, consider using
common lesson plan template
• Work in content area PLCs and/or
interdisciplinary groups to co-develop
lessons, instructional activities,
projects, and assessments
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+/∆+ Share one thing that you
enjoyed about this workshop
∆ Share one thing that could
have been better about this
workshop