Unpacking the SNA Teaching, Learning & Technology

Framework: MathematicsAugust 2016

Nick Fortune

ncfortun@ncsu.edu

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

Guiding Question 1:

How are curriculum maps organized for

your content area?

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

• 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

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

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

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?

Guiding Question 2:

How do the curriculum maps inform

instruction?

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

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?

Guiding Question 3:

How do the curriculum maps support

vertical coherence?

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!...

Guiding Question 4:

How do the curriculum maps support

horizontal coherence?

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)!

Guiding Question 5:

How do the curriculum maps support

interdisciplinary coherence?

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!

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?

Digital Resources for Mathematics:

GeoGebra and GeoGebra Tube

From: http://www.geogebra.org

Digital Resources for Mathematics:

Geometer’s SketchPad (GSP)

From: http://www.dynamicgeometry.com/

Digital Resources for Mathematics:

TinkerPlots

From: https://www.srri.umass.edu/tinkerplots

Digital Resources for Mathematics:

TinkerPlots

From: https://www.srri.umass.edu/tinkerplots

Digital Resources for Mathematics:

Illustrative Mathematics

From: https://www.illustrativemathematics.org/

Digital Resources for Mathematics:

Desmos

From: https://www.desmos.com/

Digital Resources for Mathematics:

Wolfram Alpha

From: http://www.wolframalpha.com/

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

+/∆+ Share one thing that you

enjoyed about this workshop

∆ Share one thing that could

have been better about this

workshop