Lesson 3 Results
Additive Inverse
Multiplicative Inverse
- Disruptive behavior results in 8 minutes remaining for the poster activity.
- However, student performance still improved among the focus group (Math Minutes & Review Peer Work.
Every student except for Chelsea scored 100% on solving for y given a fractional slope.
- Chelsea set up the fractions correctly, but reduced them incorrectly.
- Poor instructions and modeling results in unfocused work and more behavior issues.
- No useful student data is collected: no time remains at the end of class for an exit slip.
Moving Forward...
- Have students put up more work - engagement, accountability, check for understanding
- Improve questioning - flexibility in line of questioning
- Transitions - provide simple instructions and model when appropriate
- Recapturing student attention for an end of class summary
Spring Defense of Learning
The Inquiry Cycle
June 12th, 2012
Resident: Jonathan Rothman
Mentor: Corey Fink
High School of Telecommunication, Arts, & Technology
Principal: Phil Weinberg
Assistant Principal: Najem Rami
Site Coordinator: Georganne Karvunis
Identify Learning Goals
&
Focus Students
Baseline Assessments
Skills chosen after the baseline:
- Solving two variable, linear equations
- Identifying slope and the y-intercept
Why I choose them:
Regents Scores
1. Class performance on Regents and baseline assessment
2. Commonly tested skill on the Integrated Algebra Regents.
3. A requisite skill for success in other areas.
4. Alignment with state and Common Core Curriculum standards.
Initial Baseline Assessment
Skills assessed:
- Operations with negative numbers and fractions
- Percents
- Simplifying radicals
- Solving 1 & 2 variable equations
- Graphing linear equations
Results
Formative Assessments
Exit Slips
Summative Assessment
Second Baseline
- Issued April 26 - two days before the Linear Equations unit.
- Focused entirely on linear equations and graphing a line.
- Allowed me to assess whether previous instruction had strengthened skills related to solving for y.
Focus Student Results
- Only Deysi, Kenyon, and Chelsea took the second baseline.
- Deysi scored a 38% overall. Kenyon and Chelsea both scored 33%.
Posters
Evaluation of Teaching Strategies
What Worked:
- Modeling - worked for focus group to an extent, but not as effective as other strategies.
- Scaffolded questioning
- Review & correct peer work
- Personalized feedback -
- Math Minutes - focused practice
What Might Have Worked:
- Games: Tic Tac Toe
- Poster Activity
Identify Specific Skills
Teaching Goals
- Create structures that promote productive student participation within a challenging classroom
Monitor & Revise Instruction
8 + 9y = 3x
- Applying the additive inverse
- Negative & positive
- Applying the multiplicative inverse
- Negative & positive
- When the slope is a fraction.
-2x - y = 3
1. Solving for y
2. Identifying slope and the y-intercept.
My Students & Class
- Given a linear equation (in slope-intercept and not in slope-intercept form)
- Given a graphed line
y = 2x +4
5x-3y=-10
- 10th Grade Integrated Algebra Review
- Class Terminates in a Regents Exam
- 26 Students Total
- 7 Students with IEPs
Chronically Absent (2+days/week): 8 Students
Develop & Implement Instructional Plans
Collect & Analyze Student Work
Lesson 8: Identifying a Linear Equation by its Graph
Lessons 1 & 2: Additive and Multiplicative Inverse
Additive Inverse
Lesson 2
Lesson 3
(+) Coefficient
(-) Coefficient
Strategies:
- Math Minutes (Identify Slope and Y-intercept given a line in y=mx+b form
- Comparing two graphs
Teaching Strategies
- Modeling/Scaffolded Questioning
- Math Minutes (ie. Intensive practice)
- Speed Math
Multiplicative Inverse
Lesson 3
Lesson 2
Divide by (+)
Divide by (-)
Lesson 1 & 2 Results
Additive Inverse
Lesson 5: Fractional Slope
Strategy Modifications for Lesson 5
- Across focus group: 2 out of 3 (66%)correct - up from 1 out of 4 (25%)
- Notable finding:
- Focus group scored 90% with a (+) coefficient.
- Average dropped to a 60% for a (-) coefficient.
Results
Anthony not present
- Rest of group scored 100% on identifying slope and y-intercept (Math Minutes)
- Deysi and Frank identified the graph given the linear equation; Kenyon and Chelsea did not.
- Behavior continues to be an issue.
- Continue to use Math Minutes (State what you would do to solve) & Review peer work (modified).
- Poster Activity: "Check it!"
Multiplicative Inverse
Results for Lesson 5
- Across focus group: 80% correct (up from 20% on second baseline)
- Notable finding:
- Students had difficultly recognizing that the (-) stayed with y after moving the term next to it to the other side of the equals sign.
Specialized Instruction:
Anthony & Chelsea
Strategy Modifications for Lesson 6
Strategy Modifications for Lesson 3
- Behavior continues to be an issue.
- Continue to use Math Minutes (State what you would do to solve) & Review peer work.
- New strategy: Games (Tic Tac Toe)
- Math Minutes: focused on working with negatives (additive and multiplicative inverse)
Results