ALGEBRA, FUNCTIONS, & DATA ANALYSIS COURSE 2 OUTLINE

Framework for the Course: Leading instructors to teach algebra with a focus on conceptual learning.

Embedded though out the course:

a. Student engagement

b. Facilitating Group Work

c. Facilitating student discourse

d. Student reflection and justification of solutions.

NCTM Process Standards:

Connections

Communications

Reasoning and Proof

Representations

Problem Solving

Class activities taken from the following sources:

Enhanced Scope and Sequence (ESS)

Textbook (Text)

NCTM Illuminations (ILL)

NCTM Mathematics Teacher (MT)

Navigating through Data Analysis (NTDA)

Navigating through Probability (NTP)

Texas Instruments Activities Exchange (TI)

Session	Math Content	Big Ideas	Class Activities	Embedded Technology/ Materials	Assignments & Articles
Class 1 1^st Saturday On Site	Probability Basics Lesson Study	Experimental Probability Theoretical Probability Sample space Events Law of Large Numbers Complementary Events	Course Overview “Thinking about probability”—An inventory of probability misconceptions The game of SKUNK (ILL) Pretest Lesson Study Video What is Lesson Study? Section 7.2 Pg 419 “Probability Experiments” (Jigsaw approach Experiment 1-3) Section 7.3 Pg 435 “What Are the Chances”	Dice Paper clips Poker chips (two different colors) Graphing Calculators Projector with internet access	Section 7.3 Pg. 441 Assignment Read Article: “Supporting Reform Through Performance Assessment”
Class 2 1^st Evening Online	Counting Techniques	Fundamental Counting Principle Permutations Combinations Factorials Tree Diagrams	Discuss responses to reading Lesson study discussion Analyzing Games Photographs and Committees (MT) Section 7.9 Pg 467 “Permutations and Combinations”	Digimemo Elluminate Live Graphing Calculator	Section 7.9 Page 452: Assignment Read article: “A, E, I, O, U and Always Y Read NTP Chapter 1
Class 3 2^nd Evening Online	Combined events	Tree diagrams Venn diagrams Mutually exclusive events Complementary events Addition rule Independent and dependent events Multiplication rule Simulations	Discuss responses to reading Independent or dependent? (Text: Section 7.4, Page 444) Name the Event (ESS) Sounding an Alarm (NTP)	Digimemo Elluminate Live Graphing Calculator	Section 7.4 Page 452: Assignment Read one of the following articles: · “Using Bloom’s Taxonomy as a Framework for Classroom Assessment” · “Portfolios and a Backward Approach to Assessment” · “Using Open-Ended Problems for Assessments” · “The Myth of Objectivity in Mathematics Assessment” Read NTP Chapter 2
Class 4 2^nd Saturday On Site	Conditional probability Lesson Study	Conditional probability Independent and dependent events Multiplication rule Venn diagrams	Discuss responses to readings Students with an Earring: Students in Band and Choir (ESS) NCTM Article: Teaching probability through game shows Abby’s Kennels (NTP) Independent or Not Independent (NTP) The Monty Hall Problem Lesson study discussions	Materials for mystery bags (described in NTP activity Abby’s Kennels)	Text P. 506: 1-5, 8 Read the article: “Provoking Intellectual Need” Mini Project: Task Creation Read NTP Chapter 3
Class 5 3^rd Evening Online	Sampling Methods	Sample size Sampling Techniques Simple random samples Stratified sampling Cluster sampling	Task Discussion Sampling Rectangles (NTDA) Sample Size (NTDA) Sampling Methods (NTDA) Sampling (TI)	Digimemo Elluminate Live Graphing Calculator	Read “How do Students think about statistical sampling before instruction” Section 8.13 assignment, 1-7 Read Navigating through Data Analysis (NTDA) introduction
Class 6 4^th Evening Online	Designing Experiments & Surveys	Observational study Experiment Treatment Control Placebo Randomization Blindness	Article Discussion We need to study this (Text Section 8.12, Page 572) Sampling and Bias (Test Section 8.12, Page 577) Experimental Design (Text Section 8.12, Page 577) What does this study do? (NTDA)	Digimemo Elluminate Live Graphing Calculator	Section 8.13 Assignment, #8-11 Examining an article in the news media (NTDA) Read NTDA Chapter 1
Class 7 5^th Evening Online	Interpreting Experiments and Surveys	Data collection Data analysis/reporting Reducing bias	Homework discussion Sampling: Politics and Opinion (ESS) Dietary Change and Cholesterol (NTDA) Designing a Study (NTDA)	Digimemo Elluminate Live Graphing Calculator	Section 8.14, assignment, #1-2 Mini Project: Designing a Study Read NTDA Chapter 4
Class 8 3^rd Saturday On Site	Summarizing data	Mean Median Mode Range Interquartile range Variance Standard Deviation Outliers	Experiment presentations Not-so-small business (Text section 8.1, Page 514) What’s in a Name (Text section 8.2 page 516) Get on the stick (TI) Transforming data and histograms (Text section 8.4 page 529) Yankees vs. Mets (TI) How Close is close? (TI) Not your typical height (Text section 8.7 pg 542)	CBR’s Meter stick Paper plates Graphing calculator Stopwatch	Section 8.4 Assignment Read NTDA chapter 5
Class 9 6^th Evening Online	Normal Distribution	Normal curve Mean Median Standardized scores	z-scores and NFL Quarterback Salaries: Introduction to z-scores (ESS) What’s Normal (Text section 8.8 page 545) What is a Normal Curve (ESS)	Graphing Calculator DigiMemo Elluminate Live	Sec 8.8 Assignment
Class 10 7^th Evening Online	Normal Distribution Lesson Study Submit Presentation Dates	Percentiles Area Under the Standard Normal Curve Empirical rule Area as probability	Area under the curve (Text section 8.9, page 557) Areas in intervals (TI) Probability Density (ESS) Ice cream variance (Text section 8.10 page 568)	Graphing Calculator DigiMemo Elluminate Live	Section 8.9 Assignment Mini Project: Collecting, Summarizing, and Analyzing Data
Class 11 4^th Saturday On Site	Final Assess. Group Projects	Application of Concepts in Groups For Normal Distribution	Lesson study presentations Data Collection presentations Post-test Applying it in the classroom	Graphing Calculator Chart Paper & Markers
Lesson Study Presentations		Dates vary