John Muir Middle School


 

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Barrera, Kimberly
Math and Science Teacher
Black, Felix
Math Teacher
Fitz Williams, Karen
Math Teacher
Gonzalez, Cecilia
Math and Science Teacher
Hill, Andrea
RSP
Lancaster, Raymond
Math Teacher
Martinez, Manuela
RSP
Nettles, Tammy
LTEL Teacher
Rodriguez, Ms.
Math Teacher
Varela, Elizabeth
Autism Teacher
Wolfgang, Mr.
Math Teacher

Mathematics

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Instructions on accessing the CPM Online Classes, eTeacher's Guides, eTextbooks, and Resources

 

These additional resources are available to support students, parents, and teachers. These resources include eTools and videos, progress monitoring assessments, homework help, resource pages with a toolkit, and a parent guide with extra practice. Most of these resources are also available in Spanish in addition to English.

 

A Cpm Progress Monitoring Assessment generator is available at https://assessment.cpm.org/

2018-2019 Mathematics Instructional Units

Instructional Units

Establishing

Discussion

Techniques/

Protocols

Fall

Unit 1

Fall

Unit 2

Spring

Unit 3

Spring

Unit 4

Suggested Instructional Time

1-2 weeks

8-10 weeks

8-10 weeks

8-10 weeks

8-10 weeks

6th Grade

CPM Ch. 1

IAB Pre Test:  Ratios and Proportional Relationships  

 

Understand the Concept of Ratio and Reason with Ratio

 

IAB Post Test:  Ratios and Proportional Relationships

 

IAB Pre Test:  The Number System

 

The Number System

 

IAB Post Test:  The Number System

IAB Pre Test:  Expressions and Equations

 

Understanding Expressions and Equations

 

IAB Post Test:  Expressions and Equations and Performance Task

IAB Pre Test:  Statistics and Probability

 

Geometry and Statistics and Probability

 

IAB Post Test:  Statistics and Probability

7th Grade

CPM Ch. 1

IAB Pre Test:  Ratios and Proportional Relationships  

 

Developing Understanding and Application of Proportional Relationships

 

IAB Post Test:  Ratios and Proportional Relationships

IAB Pre Test:  The Number System

 

The Number System: Operations to Add, Subtract, Multiply and Divide Rational Numbers

 

IAB Post Test:  The Number System

IAB Pre Test:  Expressions and Equations  

 

Understand Expressions and Equations

 

IAB Post Test:  Expressions and Equations and Performance Task

IAB Pre Test:  Statistics and Probability

 

Developing Understanding of Geometry, Statistics and Probability

 

IAB Post Test:  Statistics and Probability

8th Grade

CPM Ch. 1

IAB Pre Test:  Expressions & Equations I

 

Using Rational Numbers in Finding the Distance between Two Points and Properties of Integer Exponents and Square Root to Represent Solution to Equations

 

IAB Post Test:  Expressions & Equations I

IAB Pre Test:  Expressions & Equations II

 

Understanding of the connections between Proportional Relationships and Linear Equations Involving Bivariate Data and Solution of Simultaneous Equations

 

IAB Post Test:  Expressions & Equations II

IAB Pre Test:  Functions

 

Function to Model Relationships between Quantities

 

IAB Post Test:  Functions and Performance Task

IAB Pre Test:  Geometry

 

Pythagorean Theorem and its Converse, Congruence and Similarity and Problem Solving Involving Volume of Cylinders, Cones and Spheres

 

IAB Post Test:  Geometry

CPM Study Team Roles and Team Support

Resource Manager:

 

• Gets necessary materials and supplies for the team and makes sure that the team cleans up at the end of the period.

• Manages non-material resources for the team, seeking input from each member.

• Calls the teacher over when the whole team has a question.

Facilitator:

 

• Helps their team get started by having someone read the task aloud.

• Makes sure each person understands the task and knows how to get started.

• Makes sure everyone can explain the team’s answer.

Recorder/Reporter:

 

• Shares team’s results with the class.

• Serves as a liaison with the teacher during a ‘Huddle.’

• Makes sure each team member records the work.

• Organizes the team presentation and assigns the parts for the presentation.

Task Manager:

 

• Keeps the team focused and on task discussing math.

• Intervenes if anyone is off task.

• Articulates the reasons behind the math statements that the team makes by repeating what the team is saying.

 

username: studyteams     password:  studyteams

Team Support Study Teams Using Study Teams for Effective Learning
  Team Work Teaching students how to work in teams.
  Student Roles A description of four specific team roles and the student responsibilities for each.
  Norms Norms for student interaction in study teams.
  CPM Text Using the CPM text and resource materials with study teams.
  Teacher Interaction Teacher interaction and intervention with study teams.
  Team Logistics Organizing the classroom for study team interactions.
  Strategies

A list and description a many study team and teaching strategies.

 

Mathematics Intervention Strategies

Summary of Intervention Strategies to Support Students Struggling with Math:

  1. Use of structured peer-assisted learning activities involving heterogeneous ability groupings.
  2. Use systematic and explicit instruction using visual and graphic representations.
  3. Modify instruction based on data from formative assessments of students (such as classroom discussions or quizzes).
  4. Provide opportunities for students to think aloud while they work.
  5. Share and discuss formative assessment data results with students.
  6. Instruction during the intervention should be explicit and systematic.
  7. Interventions should include instruction on solving word problems that are based on common underlying structures.  This includes instruction on how to reading math problems.
  8. Be intentional regarding teaching students the eight Standards of Mathematical Practices.
  9. Increase opportunities for productive student discourse.
  10. Provide explicit instruction on writing in mathematics. For example, explaining answers and the processes taken to answer mathematical problems in writing.

 

In addition to the CPM resources below, we also offer the Math Tutorial Lab courses to support students with their middle school math courses. For information on the tutorial labs and to view the curriculum maps, please visit the middle school tutorial lab page.

 

Grade Level

Program/Resource

Description

Supports Provided

6-8

 
College Preparatory Mathematics (CPM) Three years ago, John Muir MS adopted CPM as the Mathematics core curriculum. The program comes with ancillary intervention resource.

Additional resources are available to support both students, parents and teachers. These resources include eTools and videos, homework help, resource pages with a toolkit, and a parent guide with extra practice. Most of these resources are also available in Spanish in addition to English.

Sample CPM Lesson Plans

Assessments

Assessment Guidebook Philosophy and guide for formative and summative assessment.
  Individual Tests Recommendations for Individual tests.
  Grading/Scoring A variety of ideas for approaching grading and scoring.
  Team Tests Reasons for providing team test opportunities and how to develop team tests.
  Participation Quizzes A description of participation quizzes and how to implement them.
  Student Presentations Ideas for student presentations.
  Classroom Observations Formative assessment through classroom observations
  Portfolios/Homework Discussion of the use of portfolios/homework for student learning.

Grade 6

CPM Grade 7

CPM Grade 8

Standards for Mathematical Pracitce