Teaching through problems and integrated mathematics curriculum in Secondary I






Monday, 6/20:


Teacher Circle
Monday_6_20.pdf
Proposed Course Outlines


Cami, Usha, Teri, Amy: Common Core Secondary I Outline.docx

Lyn, Emma, Lauren, Jim: Proposed Sequence for Secondary One.docx

Jet, Jan, Michael, Eric:trying to put it in order.docx CCSS1 A plan in the working.doc

Donna, Shane, Todd, Michele: scope & seq.key.pdf Course 1 Sequence.pdf
Homework
  • Check out this place
  • Read everyone's course outline and think about how to adopt a common one
  • Read Designing Mathematics Courses handout attached with Monday's agenda
  • Bring your textbooks if you have them available

Tuesday, 6/21:



Teacher Circle
Tuesday_6_21.pdf
The first common Course Outline
CCSS_S1outline.docx
Beginning unit plans


Usha, Amy, Todd, Jet, Leonard - Unit 1: Unit Plan - Discrete Functions with Number Sense Included.docx

Emma, Lauren, Jim, Mick - Unit 4: Unit Goal.docx

Michele, Shane, Teri, Eric - Unit 5: Coordinate geo unit outline.ppt

Donna, Cami, Jan, Lyn - Unit 2: Unit 2 One Variable Stats.docx
Today's Problem Results
Tuesday, July 21.docx
Geogebra file with midline (not correct solution) MikeCampRiverWithMidline.ggb
Geogebra file for thirsty problem MikeCampRiver.ggb
Homework
  • Task Analysis Guide
  • Factors associated with cognitive demands
  • Using Pattern Tasks to Develop Mathematical Understandings and Set Classroom Norms
  • Depict Mike and his fast slow trip

Wednesday, 6/22:


Teacher Circle
Wednesday_6_22.pdf
Today's Problem Results

Lessons:
Thinking Through a Lesson Protocol Template.docx
Unit 1
missing document
Unit 2
Unit 2 One Variable Stats.docx
Unit 4
Lesson 1.docx
6-7 Scatter Plots and lines of fit[1].ppt
Scatter plots assignment Page 2.pdf
Scatter Plot Assignment.pdf
newtons revenge (Scatter Plot Activity).xps
Unit 5
Coordinate geo unit outline+.ppt
Homework
If you haven't before, watch this TED movie


Thursday, 6/23:


Teacher Circle
Thursday_6_23.pdf
Today's Problem Results

Lessons:

Unit 1
Unit Plan with Tasks Included.docx
Unit 2
Unit 2 One Variable Stats.docx
Objective 4 SID.1.docx
Objective 7 Mean and Standard Deviation.docx
Objective 5 or 8 Calculate Mean.docx
Objective_1_graph_matching.JPG
Obj. 1 Random Rectangles worksheet.pdf
Obj. 1 Random Rectangles worksheet directions.pdf
Obj. 10 Chocolate chip sample worksheet.pdf
Unit 4
tasks for 2variable stats.docx
Unit 5
Discovering formula for area of a Δ.docx
Slope Lesson Ideas.doc
Using distance formula.doc
Homework


Friday, 6/24:


Teacher Circle
Friday_6_24.pdf
Several of your tasks
have been modified
Modified_tasks.pdf
Homework
I'll let you think about the treasure some more :)


Common Core Secondary I Outline


Unit 1 – One Variable Statistics

acres error.ppt

Plot and Interpret data with dot plots, histograms and box plots
Compare mean, median and mode
Interpret the spread of the data

Unit 2 - Discrete Functions

Arithmetic and Geometric Sequences (laws of exponents) geometry party growth.ppt
Introductions to functions; domain and range, function notation and recursive functions
Graphing (discrete)
Other famous sequences (Fibonacci etc.) Fibonacci pics.ppt

Unit 3 – Continuous Functions

Linear and exponential functions considered as continuous extensions of arithmetic and geometric sequences.
Linear functions: find and interpret slope Fermi probs.ppt gatorade to buy.ppt and intercepts in context of problems.
Graph Linear functions
Exponential functions: graph, determine domain and range, solve equations using laws of exponents.
Compare and contrast; What type of function better models a given situation? build a warp function.ppt temp distribution.ppt

Unit 4 – Two variable statistics

Plot and analyze data with scatter plots fruit variables correlated.ppt
Fit linear models to data and make predictions
Slope between two given points
Fit an exponential function given two points,
Consider the effect of outliers on regression lines
Compute and interpret correlation coefficient and discuss correlation vs. causation causation.ppt

Unit 5 – Coordinate Geometry

Slopes of parallel and perpendicular lines
Midpoints
Distance Formula
Pythagorean Theorem
Areas of rectangles and triangles
Properties of quadrilaterals

Unit 6 – Transformations

Transformations of plane figures *operations with matrices
Effect of varying parameters on the graph
Basic composition of functions
Transformations of functions with implications on domain and range

Unit 7 – Systems of Equations and Inequalities solving formulas.ppt

Solving Inequalities algebraically and graphically *solving systems using matrices
Solving systems of equations and systems of inequalities algebraically and graphically
Applications bicylce safety.ppt fish safety.ppt

Unit 8 – SyntheticGeometry


Constructions (straight edge and compass, paper folding, computer geometry software)
General congruence (reflections, rotations and translations)
Triangle congruence
Symmetries by reflection and rotation


June 20 - June 24, 2011
Department of Mathematics, University of Utah


The move towards the Common Core State Standards is on the minds of the mathematics teachers community in Utah. Districts are working on implementation schedules, and other resources to guide teachers in the transition from the Utah Core to CCSS. Teachers are concerned about the lack of developed curricula and resources that will support this transition. Teachers frequenting our professional development have expressed interest in a working meeting during which they will collaborate and work on materials that will reflect both the content and the spirit of CCSS. This year workshop will therefore be organizes with this goal in mind.

Mornings will be once again devoted to mathematics. The problems for the morning session will be chosen so that the work involved reflects the nature of integrated curriculum as well as the teaching through problems approach. The afternoons will be devoted to the collaboration on developing materials that will support
  • the integrated nature of Secondary 1,
  • teaching through problems,
  • classroom discourse in which all students are challenged and contributing to the development of ideas.

In order to successfully engage in the work that we are planning for you it is necessary that you come to the workshop with a working knowledge of CCSS. Knowing how the students are expected to develop their understandings is very important. We will expect that you will have studied the core for grades 6, 7, 8, as well as the high school strands. In particular, you should be very familiar with the Secondary 1 core. Those participating will be asked to fill out a survey which should help us understand everyone's familiarity with the CCSS, as well as their preferences of the working topic. Each participant will be asked to bring resources they are currently using or that they developed in previous years that are relevant for the work during workshop.

We will follow up the workshop with a day long event in August. Participants will receive university credit for this workshop.

To apply, fill out the application form.

Applications will be reviewed starting May 25th until all the openings are filled. All the applicants will be notified by June 5th of their acceptance.

In the event that you are accepted, please mail a $50 check to CSME, Math Department: 155 S 1400 E Room 233, Salt Lake City, UT 84112-0090. The check should be written out to the CSME. This check will be returned to you upon completion of the workshop. In the event that you choose not to attend, it will cover the necessary fees.

This program is supported by a grant from the Center for Science and Mathematics Education, Park City Mathematics Institute (PCMI), and the Department of Mathematics at the University of Utah.



  1. poster_tmcsummer.pdf

Common Core Secondary I Outline

Unit 1 – One Variable Statistics
1. Plot and Interpret data with dot plots, histograms and box plots
2. Compare mean, median and mode
3. Interpret the spread of the data

Unit 2 - Discrete Functions
1. Arithmetic and Geometric Sequences (laws of exponents)
2. Introductions to functions; domain and range, function notation and recursive functions
3. Graphing (discrete)
4. Other famous sequences (Fibonacci etc.)
Unit 3 – Continuous Functions
1. Linear and exponential functions considered as continuous extensions of arithmetic and geometric sequences.
2. Linear functions: find and interpret slope and intercepts in context of problems.
3. Graph Linear functions
4. Exponential functions: graph, determine domain and range, solve equations using laws of exponents.
5. Compare and contrast; What type of function better models a given situation?
Unit 4 – Two variable statistics
1. Plot and analyze data with scatter plots
2. Fit linear models to data and make predictions
3. Slope between two given points
4. Fit an exponential function given two points,
5. Consider the effect of outliers on regression lines
6. Compute and interpret correlation coefficient and discuss correlation vs. causation
Unit 5 – Coordinate Geometry
1. Slopes of parallel and perpendicular lines
2. Midpoints
3. Distance Formula
4. Pythagorean Theorem
5. Areas of rectangles and triangles
6. Properties of quadrilaterals

Unit 6 – Transformations
1. Transformations of plane figures *operations with matrices
2. Effect of varying parameters on the graph
3. Basic composition of functions
4. Transformations of functions with implications on domain and range