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.pptgatorade 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.ppttemp 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

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

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.

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

## Teaching through problems and integrated mathematics curriculum in Secondary I

## Monday, 6/20:

## Tuesday, 6/21:

Unit 1:Unit Plan - Discrete Functions with Number Sense Included.docxUnit 4:Unit Goal.docxUnit 5:Coordinate geo unit outline.pptUnit 2: Unit 2 One Variable Stats.docxGeogebra file with midline (not correct solution) MikeCampRiverWithMidline.ggb

Geogebra file for thirsty problem MikeCampRiver.ggb

## Wednesday, 6/22:

Unit 1Unit 2Unit 46-7 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## Thursday, 6/23:

Unit 1Unit 2Objective 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 4Unit 5Slope Lesson Ideas.doc

Using distance formula.doc

## Friday, 6/24:

have been modified

## Common Core Secondary I Outline

Unit 1 – One Variable Statistics

Plot and Interpret data with dot plots, histograms and box plotsacres error.pptCompare mean, median and mode

Interpret the spread of the data

Arithmetic and Geometric Sequences (laws of exponents) geometry party growth.pptUnit 2 - Discrete FunctionsIntroductions to functions; domain and range, function notation and recursive functions

Graphing (discrete)

Other famous sequences (Fibonacci etc.) Fibonacci pics.ppt

Linear and exponential functions considered as continuous extensions of arithmetic and geometric sequences.Unit 3 – Continuous FunctionsLinear 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

Plot and analyze data with scatter plots fruit variables correlated.pptUnit 4 – Two variable statisticsFit 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

Slopes of parallel and perpendicular linesUnit 5 – Coordinate GeometryMidpoints

Distance Formula

Pythagorean Theorem

Areas of rectangles and triangles

Properties of quadrilaterals

Transformations of plane figures *operations with matricesUnit 6 – TransformationsEffect of varying parameters on the graph

Basic composition of functions

Transformations of functions with implications on domain and range

Solving Inequalities algebraically and graphically *solving systems using matricesUnit 7 – Systems of Equations and Inequalitiessolving formulas.pptSolving systems of equations and systems of inequalities algebraically and graphically

Applications bicylce safety.ppt fish safety.ppt

Unit 8 – SyntheticGeometryConstructions (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, 2011Department 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

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.Common Core Secondary I Outline

Unit 1 – One Variable Statistics1. 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 Functions1. 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 Functions1. 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 statistics1. 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 Geometry1. 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 – Transformations1. 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