Prepared for the Professional Learning Network of the F REEDOM H IGH S CHOOL by Dan Mulligan, Ed. D., flexiblecreativity.com April 2015 This is you This is the person next to you “It's often the people that no one imagines anything of, that do the things no one can imagine.” — The Imitation Game (2014)

Resources to Share: flexiblecreativity.com

Premise of the Workshop As the United States continues to compete in a global economy that demands innovation, the U.S. education system must equip students with the four Cs: 1. 1.critical thinking and problem solving, 2. 2.communication, 3. 3.collaboration, and 4. 4.creativity and innovation.

Essential Vocabulary Essential Knowledge/Skills

a. The number of cavities the sixth graders have? b. The number of people in the sixth graders’ families? c. The ages of the sixth graders’ mothers? d. The heights of the sixth graders in inches?

It’s All About: T HE S ECOND Q UESTION page 29

Premise of the Workshop As the United States continues to compete in a global economy that demands innovation, the U.S. education system must equip students with the four Cs: 1. 1.critical thinking and problem solving, 2. 2.communication, 3. 3.collaboration, and 4. 4.creativity and innovation.

Think Pad is a resource designed to: provide evidence of understanding and participation during student-to student dialogue facilitate student reflection on their thinking page 27

The HOW will I ENGAGE you!

Try to seek a partner from a different course. Find 2 comfortable seats and relax. *Please bring your handout and a pen(cil)! Try to seek a partner from a different course. Find 2 comfortable seats and relax. *Please bring your handout and a pen(cil)!

1. Create an Environment for Learning – –Helping students know what is expected of them, providing students with opportunities for regular feedback on progress, assuring students they are capable of learning content and skills 2. Helping Students Develop Understanding – –Integrating prior knowledge with new knowledge – –Procedural knowledge: constructing a model of the steps required of the process and practicing its variations; using the process or skill fluently or without any conscious thought 3. Helping Students Extend and Apply Knowledge – –Moving beyond ‘right answer’ learning to an expanded understanding and use of concepts and skills in real-world contexts. McREL, 2012 Framework for Instructional Planning McREL, 2012

Work collaboratively (e.g., construct viable arguments, critique, agree) to identify key words that capture the essential elements of strategies to assist all students understand math with fidelity. Enjoy working with your new best friend. math learning strategies

P RE - ASSESSMENT T OOLS pages

The WHAT

VA Math Geometry Strand EKS: Determine and explain why plane figures are congruent or noncongruent, using tracing procedures Determine the congruence of segments, angles, and polygons given their attributes Subdivide a figure into triangles, rectangles, squares, trapezoids and semicircles. Estimate the area of subdivisions and combine to determine the area of the composite figure Describe the characteristics of triangles, squares, and rectangles, including number of sides and number of angles Compare, contrast, and analyze data, including data from real-world situations displayed in box-and-whisker plots Compare the slopes to determine whether two lines are parallel, perpendicular, or neither Identify the domain, range, zeros, and intercepts of a function presented algebraically or graphically K.11 AI.10 G.3 AII.7 Grades K through Alg2 Edition K, 3, 6, 8, Alg.I, Geom., Alg.II

Three types of curricula exist in any classroom: The Intended Curriculum: content/skill specified by the state, division, or school at a particular grade level. The Implemented Curriculum: content/skill actually delivered by the teacher. The Attained Curriculum: content/skill actually learned by the students. Intended Curriculum Implemented Curriculum Attained Curriculum Effective Instruction: focus Effective Instruction: focus on essential knowledge, skills, processes, & vocabulary

Essential Vocabulary Essential Skills Essential Knowledge LEARNING TARGET

Essential Vocabulary/Driving Question Essential Knowledge/Skills

Resource to Clarify the Target ( teacher version) pages 4 – 7

Advanced Organizers Use Visuals Advanced organizers help students organize the information and retain 5 times more of the information.

VENN DIAGRAMS red thick small

VENN DIAGRAMS Linear Functions Quadratic Functions

Tools to Facilitate Deeper Thinking Slope of line is zero The line is__________ causeeffect a. b. Place the numbers in the Venn Diagram:

pages 11 – 19

Touring DC

High-Yield Instructional Strategies

28 Identifying Similarities and Differences

What processes can students engage in to identify similarities and differences? Comparing The process of identifying and articulating similarities and differences among items. Classifying The process of grouping things into definable categories on the basis of their attributes. Creating Metaphors The process of identifying and articulating the underlying theme or general pattern in information. Creating Analogies The process of identifying relationships between pairs of concepts (e.g., relationships between relationships).

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WHY ACADEMIC VOCABULARY? Briefly share what you know about photosynthesis. Tell a chain story about the process of photosynthesis… …without using words that begin with: P, L, T

Research on Imagery as Elaboration 6 37 percentile pts. higher than… …students who kept repeating definitions percentile pts. higher than… …students who were using the terms in a sentence. Students who used imagery to learn vocabulary, on average, performed # of studies

50 POINTS50 POINTS50 POINTS 100 POINTS 200 POINTS Principal Organizing Theme: Things someone would say… Student TeacherSuperintendent Parent Cafeteria Worker EDUCATIONAL STAKEHOLDER EDITION EDUCATIONAL STAKEHOLDER EDITION

50 POINTS50 POINTS50 POINTS 100 POINTS 200 POINTS Geometry PLANE FIGURE VOLUME VERTEX CONGRUENTCYLINDER TRAPEZOID

Kinds of Evidence – Continuum of Evidence Informal Check for Understanding

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Thank you for your commitment to children! "It's your attitude, not just your aptitude that determines your ultimate altitude." -- Zig Ziglar Dan