a story of functions

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NYS COMMON CORE MATHE MATICS CURRI CULUM A Story of Functions

A Story of FunctionsA Close Look at Grade 9 Module 5


N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Functions

Session Objectives

• Understand the mathematical concepts developed within Grade 9 Module 5.

• Practice collecting evidence of effective instruction using transcripts of classroom instruction.

• Discuss feedback strategies for supporting scaffolding and accommodation techniques for special populations



What’s In a Module?Teacher Materials• Module Overview• Topic Overviews• Daily Lessons• AssessmentsStudent Materials• Daily Lessons with Problem SetsCopy Ready Materials• Exit Tickets • Fluency Worksheets / Sprints• Assessments



Types of Lessons1. Problem Set

Students and teachers work through examples and complete exercises to develop or reinforce a concept.

2. SocraticTeacher leads students in a conversation to develop a specific concept or proof.

3. ExplorationIndependent or small group work on a challenging problem followed by debrief to clarify, expand or develop math knowledge.

4. ModelingStudents practice all or part of the modeling cycle with real-world or mathematical problems that are ill-defined.



What’s In a Lesson?Teacher Materials Lessons• Student Outcomes and Lesson Notes (in select lessons)• Classwork

• General directions and guidance, including timing guidance• Bulleted discussion points with expected student responses• Student classwork with solutions (boxed)

• Exit Ticket with Solutions• Problem Set with SolutionsStudent Materials• Classwork• Problem Set



What are students coming in with?

• G9-M1 Relationships Between Quantities and Reasoning with Equations and Their Graphs

• G9-M2 Descriptive Statistics• G9-M3 Linear and Exponential Functions• G9-M4 Polynomial and Quadratic Expressions,

Equations and Functions



• What difficulties would you anticipate with student understanding of the mathematics in this section?

• What scaffolds would be effective for addressing those difficulties?

Turn and Talk



LESSON TRANSCRIPT ACTIVITY



Round Robin Activity

• In your table groups, share the observations you made using the CCSS Instructional

Practice Guide.

• Each group member shares one observation and the supporting evidence. Then the

group member to his/her right shares.

• Continue this process until all

observations have been shared.



Turn and Talk

• What difficulties would you anticipate with

student understanding of the mathematics in

this section?

• What scaffolds would be effective for

addressing those difficulties?



Key Points – Module 5 Lessons• Reinforce the notion that we are modeling with

functions – • Push students to recognize when they are or are not given

enough information to be sure that the function will be an accurate representation of the data or information described.• Use precision when speaking and encourage students to do the

same by questioning them for accuracy and precision.• Remain aware of the discrete vs. continuous domain in the

context of the situation.• Approach Lesson Summaries as opportunities for

students to consolidate their knowledge – ask & scaffold, don’t tell.



End-of-Module Assessment

Work with a partner to determine the types of accommodations and/or scaffolding that the assessment items may require.



Scoring the Assessment



Key Points – End-of-Module Assessment• Shorter modules, like G9-M5 do not have Mid-Module

Assessments, only an End-of-Module Assessment designed to assess all standards of the module.

• Recall, as much as possible, assessment items are designed to asses the standards while emulating PARCC Type 2 and Type 3 tasks.

• Recall, rubrics are designed to inform each district / school / teacher as they make decisions about the use of assessments in the assignment of grades.



Biggest Takeaway

What are your biggest takeaways from the study of Module 5?

How can you support successful implementation of these materials at your schools given your role as a teacher, trainer, school or district leader, administrator or other representative?

a story of functions

Documents

minutes materials

module focus sessionwhats

midmodule assessment

network team institutegrade

mathematical concepts

classroom exercises

package of daily lessons

accommodation techniques