I GEOMETRY ALGEBRA-II (page 22) HS Blueprints for Mathematics **MATH** I **MATH** II **MATH** III (page 22) TODAY’S PLAN: Understand the overall / 3.NBT.2 Multiply/divide within 100 (know single-digit **products** from memory) Add/subtract within 1000 4 4.NBT.4/**in** h.s. http://accuplacer.collegeboard.org/students 136 **What** **does** it mean to be CCR? (Level-4) “Students who earn a PARCC College- and Career-Ready Determination by performing at Level 4 **in** mathematics and enroll **in** College Algebra, Introductory College **Statistics**/

9: Technical Memo and School Board Memo Slide 2 Work **Products** (Part I of II): Technical Memo: Have one section /(with a nice fix for heteroscedasticity) If our population **does** not meet the homoscedasticity assumption, then we can use this/**Math** Slide 62 Unit 1: Intuitive Representations of the F **statistic**: Technical But Still Verbal Representations of the F **statistic**: Formal Representation of the F **statistic**: **What** is a “Mean Square”? For Post Hole 3, we calculate a mean square, and we call it “variance.” **In**/

the **production** process. The variability across lots is the key notion **in** search for Pareto glitches. 1.10 Basic **Statistical** Procedures **in** **Statistical** / 2 C 98 2 A 82 ; PROC ANOVA DATA=**MATH**; CLASS PROF; MODEL GRADE=PROF; MEANS PROF/SCHEFFE;/GLM , but PROC GLM is safer **in** the hands of beginners. **What** If the F-Test Is Significant? If/ produce coefficients ( and 1, 2, …, k-1) that have different interpretations. It **does** not matter which coding method is used, since both produce the same ANOVA table. Also, the/

by the Federal Government. Disclaimer: **What** **does** it take to obtain good /**in** “**What** Kind of **Math** Matters” Education Week, June 12 2007 2.Carnevale & Desrochers cited **in** “**What** Kind of **Math** Matters” Education Week, June 12 2007 College for all? (1)Current Population Survey (2000) (2)Bureau of Labor **Statistics** (2002) The Fallacy of Composition: **What**/**Production** Process Development: Quality Assurance Manufacturing Planning, managing, and performing the processing of materials into the intermediate or final **products**/

those students wishing to study further **in** areas of engineering, **product** design, **product** manufacture, project management, teaching, /**in** the top bar. The content of GCSE (9 - 1) **in** Mathematics (1MA1) Specifications: Number, Algebra, Ratio and Proportion, Geometry, Measures, Probability and **Statistics** . Don’t worry if you don’t know **what**/**does** not indicate causation; draw estimated lines of best fit; make predictions; interpolate and extrapolate apparent trends while knowing the dangers of so doing Back to **Maths**/

**Product** CTE Automotive Tech Measurement Criteria Check continuity and measure resistance **in** electrical/electronic circuits and components using an ohmmeter; determine necessary action. **Math** -- Strand 2: Data Analysis, Probability, and Discrete Mathematics, Concept 1: Data Analysis (**Statistics**/The Exception Results Can Be Seen At AZ **DOE** Website http://www.ade.state.az.us/cte//Regional Accrediting Agencies Require Teachers To Be Certified **In** Areas Of Instruction So, **What** Is To Be Done? Two Major Roadblocks /

those students wishing to study further **in** areas of engineering, **product** design, **product** manufacture, project management, teaching, /**in** the top bar. The content of GCSE (9 - 1) **in** Mathematics (1MA1) Specifications: Number, Algebra, Ratio and Proportion, Geometry, Measures, Probability and **Statistics** . Don’t worry if you don’t know **what**/**does** not indicate causation; draw estimated lines of best fit; make predictions; interpolate and extrapolate apparent trends while knowing the dangers of so doing Back to **Maths**/

**What** percentage of the defects were color? **Does** there appear to be any credence tot he claim that the majority of the defects occur on the third shift? 7 Doing **Statistics** for Business Figure 5.1 Two bar charts representing a contingency table 8 Doing **Statistics** for Business **In**/the least-squares line are useful? Why or why not? Is **what** you just did interpolation or extrapolation? 35 Doing **Statistics** for Business TRY IT NOW! Starting Salaries and **Math** Courses Finding the Least-Squares Line (con’t) Now use the /

Proficiency Standards onto NAEP Scales, IES August 2011 **Math** Risk CA Mapping State Proficiency Standards onto NAEP Scales/ Claim (3-8 or 9-12) Measurement and Data Geometry How **does** this help me map? Operations and Algebraic Thinking Target A (m/Processing Research questions Comprehension questions Simulated Internet search etc. **Product**/Performance Essay, report, story, script Speech with/without/evidence from **what** you have read and viewed. (short story) (article 1) (video) (research **statistics**) **In** still other/

**Statistics** Education) Visiting Fellow, UK CETL **in** university-wide **maths** & stats support Queensland University of Technology 2 Juggling hats? Assessment also requires balancing “Students learn only for assessment!” Naturally Students think **what** is assessed must be **what**/ comp **maths** Balancing components, workload, objectives Comments throughout on: alignment with objectives, balance, integrated assessment & learning packages, group work, collaborative work, plagiarism Like mathematical proofs, end **product** doesn/

Significantly below OECD Average PISA 2009 Overall **Math** Scale Significantly Above OECD Average Not /Career Readiness Writing Standards **Production** and Distribution of Writing 4.Produce clear and coherent writing **in** which the development, / is a connected subject. Standards define **what** students should be able to understand and/ gave 4 to John. How many rocks **does** Sally have left? Sally had 10 rocks./ surface area, and volume. Grade 7 Overview **Statistics** and Probability Use random sampling to draw inferences about/

**math** skills **does** not mean that the individual has zero **math** skills Ratio scale: physical measures (height) and counting; has absolute zero. Groups **What** are descriptive **statistics**? Purpose and examples? Answer the following questions **What** are descriptive **statistics**? Purpose and examples? Why do we look at both – the mean and SD? **What** is a correlation? **In** Selection, **what** do we correlate? **What** **does**/respond negatively to aversive work events Decreased **productivity** Health concerns Integrity and Drug Tests Purpose/

**statistics**. –**What** a linear approximation looks like. –**What** a quadratic approximation looks like. (Including interactions.) –**What** a partial derivative is. The program had to be organized as two distinct, stand-alone courses: one **in** calculus and one **in** **statistics**. –Some programs require a calculus course, and many students and parents expect a calculus course, so one of the courses would be calculus. This **does**/ An “Integrated Courses” model –Separate **Math**/Biology courses Better for transcript Allows familiar/

NEW **in** 2011-12 Algebra 1 - An Open Course Developmental **Math** – An Open Program Arithmetic Beginning Algebra Intermediate Algebra Geometry and **Statistics** Topics /institutions are satisfied with existing methods or digital options Existing digital **products**: too expensive inflexible curricula proprietary management system /(statewide ) Idaho Digital Learning Academy IDEAL-New Mexico Illinois Virtual School (**DOE**) Iowa Community College Online Consortium Iowa AEA Consortium Jacksonville State College (AL/

**MATH** I **MATH** II **MATH** III/**in** Support of Rich Instruction and Expectations of Fluency and Conceptual Understanding K–2 Add/subtract within 5/ 10/ 20 (K.OA.5, 1.OA.6, 2.OA.2) Add/subtract within 100 (2.NBT.5) Know single-digit sums within 20 (2.OA.2) 3 Multiply/divide within 100 (know single-digit **products**/**What** **does** it mean to be CCR? (Level-4) “Students who earn a PARCC College- and Career-Ready Determination by performing at Level 4 **in** mathematics and enroll **in** College Algebra, Introductory College **Statistics**/

a table of “x” and “y” values that have a constant **product**. Definition: The **product** of the value of the independent variable and the value of the dependent/Vertical Shrink Translations - Vertical Shrink Back to Success ModelBack to **Math** Topics **Math** Strategies Table of Contents Lesson 5 Data Analysis, **Statistics**, and Probability Strategies Average (Arithmetic Mean) Average (Arithmetic/ **math** operations. **What** **does** x@ mean? How do I determine a value? 4@ = (4+1)(4+2) 4@ = (5)(6) 4@ = 30 Apply the definition **in**/

students as a result. (eg. Social modeling on the gifted **does** not work.) **What** Are Research-based Differentiated Materials for the gifted that aid **in** teaching to the common core? Mathematics – Mentoring Mathematical Minds (M3) – Techniques of Problem-solving (TOPS) – Connected **Math** Language Arts – W&M Language Arts Units – Junior Great Books – Jacobs Ladder **Math** Resources Units of study that stress problem-solving, spatial reasoning/

**Math**ématiques de Toulouse (Toulouse Mathematical Institute) http://www.irit.fr/ http://www.univ-tlse2.fr/grimm/algo 20 Number Theory and Cryptography **in** India: Indian **Statistical**/**does** not preserve the order). Encryption using alphabetical transpositions and substitutions Julius Caesar: replaces each letter by another one **in**/integer ≥ 2 is either a prime or a **product** of primes. For instance 12=2 2 /complete solution to Pythagoreas Diophantine equation. Question: **what** happens if we replace the circle (conic)/

**Math** Association Problem 2 Find the **product** of the digits of 7 3. Copyright © 2012 by the Washington Student **Math**/**in** the jar to begin with? Copyright © 2012 by the Washington Student **Math** Association Problem 3 **What**/**statistics**. 72 are taking both calculus and physics, 10 are taking calculus and **statistics**, 20 are taking physics and **statistics**, and 3 are taking all three. If a senior from Lambda High is selected at random, **what**/the Washington Student **Math** Association Problem 5 How much money **does** Alissa spend at/

**statistical** software) Clear Pathways (DRAFT) Grade 9 Academic Grade 10 Academic Grade 11E Work and Everyday Life Grade 10 Applied Grade 9 Applied Grade 11 M Function Applications Grade 11 C Foundations for College **Math** Grade 12 C Foundations for College **Math**/ **What** **does** an appropriate balance mean to you and how **does** this impact on your students’ long term success **in** senior mathematics? Key Message: Teaching The revised curriculum supports effective mathematics teaching that requires understanding **what** /

**productive** worker, and discerning consumer. (Bernie Madison) (Bernie Madison) the ability to identify, understand and use quantitative arguments **in** everyday contexts. Quantitative literacy describes a habit of mind rather than a set of topics of a list of skills. (Deborah Hughes Hallett) How **does** “QR” differ from “**Math**”? (Bernie Madison’s “two mathematics”) **Math** **Math**/, samples, surveys, and **statistical** evidence (to develop an /**What** percentage of the apartments sublet for more than $1,200 per month? 2. **What**/

closely modeled by a parabola Creativity **in** **Math** Winning project #2: –Relationship between annual beer **production**, consumption per capita and percent of population males 20 -24 Conclusion: there is a correlation between average beer consumption and percentage of males age 20-24 –Correlation did not hold true with % of males **in** other age cohorts Creativity **in** **Math** Winning project #3: –Hockey **statistics** were used to examine performance/

**what** is the present value of a dollar to be received by a producer two years from now? A. $0.826 B. $0.900 C. $1.100 D. $1.210 E. None of the above A. 2009-2013 State Non-**Math** Test Bank 25. When an increase **in** **production** of one enterprise causes a reduction **in** the **production**/ State Non-**Math** Test Bank 24. Which USDA agency’s primary activity is conducting surveys to determine farm **production**, prices, income, and expenses? A. Agricultural Research Service (ARS) B. National Agricultural **Statistics** Service (NASS/

to School & Ready Set Science) **What** **does** it mean when learners: – Understand scientific explanations? – Generate scientific evidence, models, explanations? – Understand the nature of science and science as a way of knowing? – Participate **productively** **in** the norms and discourses of science? New science practices are grounded **in** this. How students learn mathematics 1.Adherence to mathematically **productive** classroom norms and relationships. 2.**Math** discourse that focuses on students/

536... Calculated Calc the OverAll Odds as the **PRODUCT** of each of the Individual OutComes This is Technically a COMBINATION BMayer@ChabotCollege.edu ENGR-25_Lec-19_Statistics-1.ppt 22 Bruce Mayer, PE Engineering/**Math**/Physics 25: Computational Methods 175 711 536... is a DEAL! The ORDER **in** Which the Ping-Pong Balls are Drawn **Does** NOT affect the Winning Odds If we Had to/

**Math** achievement and **math** attitudes Teacher effectiveness and teacher efficacy Copyright © Allyn & Bacon 2008 Correlational Designs Simple correlation designs – Cautions **in** interpreting correlations A relationship between two variables (e.g., achievement and attitude) **does**/ – Practical significance should not be confused with **statistical** significance Copyright © Allyn & Bacon 2008 Correlational/variables **in** situations where it is impossible or unethical to manipulate the independent variable Example - **what** is/

**Math** (STEM) 01 Agriculture, Agriculture Operations, and Related Sciences 03 Natural Resources and Conservation 04 Architecture and Related Services 11 Computer and Information Sciences and Support Services 14 Engineering 15 Engineering Technologies and Engineering-Related Fields 26 Biological and Biomedical Sciences 27 Mathematics and **Statistics**/**in** Connecticut per 100,000 workers **in** Connecticut **What** **does** this mean? College and university faculty and businesses members who are engaging **in** research and **product**/

EdStats.Org Unit 8: Technical Memo and School Board Memo Work **Products** (Part I of II): I.Technical Memo: Have one /**what** **does** a p-value of 0.049 mean? How about a p-value of 0.00001? Or, a p-value of 0.89? Or, a p-value of 0.051? Question 2: The relationship **in** the sample is one thing, and the relationship **in** the population is another thing (due to sampling error). If you say a relationship is **statistically**/ are uncorrelated. Unit 8/Slide 42 Unit 8 **Math** Appendix: Two-Sample T-Tests http://onlinestatbook.com/

**Statistics**: Looking at the Big Picture L12.2 Looking Back: Review 4 Stages of **Statistics** Data **Production** (discussed **in** /**Statistics**: Looking at the Big Picture L12.19 Example: Considering Residuals Background: Car-buyer regressed price on age for 14 used Grand Ams [(4, 13,000), (8, 4,000), etc.]. Question: **What** **does**/**Statistics**: Looking at the Big Picture L12.25 Example: Residuals and their Typical Size s Background: For a sample of schools, regressed average **Math** SAT on average Verbal SAT average **Math**/

school.” Truth Value GHSGT **Math** Review Logic Statements Which of these true statements also has a true inverse? A.If the **product** of integers a and /**in** a bag. All the cards are the same size and shape. He randomly selects a card. It is yellow. He **does** not replace it. Seth will randomly select a second card from the bag. **What**/A than B. D) The interquartile range is greater for Restaurant B than A. **Statistics** GHSGT **Math** Review **What** is the Mean Absolute Deviation of the following data set? {12, 10, 14, 4,/

to create **products** and systems that improve the world **WHAT** IS ENGINEERING **What** is Engineering? **What** is Engineering? IS ENGINEERING RIGHT FOR ME? Demonstrate Strength **in** **Math** Science English /**math** and science combined with use of materials and natural forces. TYPES OF ENGINEERS Manufacturing Electrical Bio Engineering Chemical Computer Green Engineering Aerospace Civil Mechanical TYPES OF KNOWLEDGE Mathematical- **Statistics** Graphs Charts Data tables Algebra Calculus Scientific Knowledge: **Statistics**/

**in** discussion of Big Data Many undergrads are drawn to **statistics** because of the sexy nature of Big Data Undergraduate programs should be producing people who can work effectively on Big Data problems To think about… **What** **does** **statistics** have to offer? **What** **does** **statistics** lack? How can we differentiating computational issues and **statistical** thinking issues? Panelists Bonnie Ray, Director, Optimization Research, Business Analytics and **Math**/ – improved **productivity** Centralized control and real-time /

38 F3 (from home: ) Limits Symbolic and numerical (partial) Derivatives, Integrals Sums, **Products**, Max/Min Arc Length, Tangent lines Taylor Polynomials Calculus 39 Questions: 1)Find the /bulk of time is spent **in** entering the data. Computations are very fast. 6 2nd 5 (**MATH** menu) (**Statistics** submenu) Note: from the home screen, **Statistics** 80 Example: Input is/15971 (note: this is dollars per quarter) 107 1)Calculate and. **What** **does** this say about ? (Note: The exact value is unknown) Final Problem Set Instructions/

of materials and theory work that will include:- **Product** design and manufacture; Graphical media and drawing techniques;/ new light on problems that have puzzled people **in** the past? **Does** it Back to History Home PageNext page /**in** Mathematics (1MA1) Specifications: Number, Algebra, Ratio and Proportion, Geometry, Measures, Probability and **Statistics**. Don’t worry if you don’t know **what**/limits of accuracy, including upper and lower bounds Back to **Maths** Home Page Previous Page Previous Page The Timeline The/

of materials and theory work that will include:- **Product** design and manufacture; Graphical media and drawing techniques;/ new light on problems that have puzzled people **in** the past? **Does** it Back to History Home PageNext page /**in** Mathematics (1MA1) Specifications: Number, Algebra, Ratio and Proportion, Geometry, Measures, Probability and **Statistics**. Don’t worry if you don’t know **what**/limits of accuracy, including upper and lower bounds Back to **Maths** Home Page Previous Page Previous Page The Timeline The/

higher-level approach right now, even on todays machines, we will see immediate benefits **in** our **productivity**." W. H. Press and S. A. Teukolsky, 1997 Numerical Recipes: **Does** This Paradigm Have a future? Motivations, concerns **In** developing large applications, three significant issues must be addressed: **In** developing large applications, three significant issues must be addressed: **Productivity** **Productivity** Time to the first solution (prototype) and time to solution/

of 7.9 significant? No, so do we accept or reject the null hypothesis? Accept H0 – **what** **does** that mean? Testing Hypotheses with Samples **Statistic** vs. Parameter – 1 Sample t-test The One-Sample t Test A professor wants to know if her introductory **statistics** class has a good grasp of basic **math** Six students are chosen at random from the class and given a/

Property taxes **Production** taxes People taxes/ Data mining analyst **Statistics** and mining Data /**What** is the status of your institution? 4.**What** type of programmes **does** your institution currently offers? C.Number of graduates and new student intake 5.Please select Professional Certification programmes **in**/**in** **math** and science. Intel provides training to more than 100,000 **math** and science teacher for the first three years. The involved teachers will undergo an intensive 80-hour professional development **math**/

**statistic** is The variable X is The data are Example 1.4 Determine **what** the key terms refer to **in**/On your calculator, press **Math** and arrow over to PRB/**Does** aspirin reduce the risk of heart attacks? Is one brand of fertilizer more effective at growing roses than another? Is fatigue as dangerous to a driver as the influence of alcohol? Questions like these are answered using randomized experiments. **In** this module, you will learn important aspects of experimental design. Proper study design ensures the **production**/

Sigma is now the way we work – **in** everything we do and **in** every **product** we design” 1 1 Jack Welch - General Electric website at ge.com **What** are **Statistically** Designed Experiments? Purposeful, systematic changes **in** the inputs **in** order to observe corresponding changes **in** the outputs Results **in** a mathematical model that predicts system responses for specified factor settings JS Why **DOE**? Scientific Answers to Four Fundamental Test Challenges/

individual sizes and amounts **in** familiar **products** used on an everyday basis. Students will learn how to quickly determine through **math** operations **what** is the most economical/35 yards Based on the example above, answer the following question: How many yards **does** the football travel if you pass it from the Colts’ 12-yard line to/ 13 arrows Average Student Height **Statistical** Analysis Activity Objectives: The main objective is to engage students **in** the major components of **statistical** analysis: mean, median, mode/

Involving Exponents BrainGenie - Simplifying Expressions Using Multiple Exponent Properties Involving **Products** http://braingenie.ck12.org/skills/105553 Solve at least 5 problems /**in** years, so note **what** she **does** with t around minute 3. “If you already have a bank account or if you plan to have one **in**/**statistical** data according to exponential growth models. Applications of Exponential Functions Exponentials Applications of Exponential Functions SAS Curriculum Pathways - Human Population Growth http://www.**math**/

It is worth learning if you can see **what** you know afterwards. Condition for getting to/**product**-domination mistakes as reason for constructive correction Nowadays aspects of the left side have much more importance **in**/and alternative solutions. Using new technology **does** not just give the solution of /Modeling of pertinent problems Interpretation of **statistic** data and statements Intelligent usage of/students have to attend compulsory basic courses (Grundkurse) **in** **math**. They also can select mathematics as a special/

.org/sites/parcc/files/HSAlg1Math2MiniGolfPrices.pdf COURSE ? DIFFICULTY? POINTS ? ALGEBRA-I/**Math**-II Points: 6 Standards: FBF-I STANDARDS? a Type-III PARCC Task //divide within 100 (know single-digit **products** from memory) Add/subtract within 1000/**in** h.s. http://accuplacer.collegeboard.org/students 158 **What** **does** it mean to be CCR? (Level-4) “Students who earn a PARCC College- and Career-Ready Determination by performing at Level 4 **in** mathematics and enroll **in** College Algebra, Introductory College **Statistics**/

of passing the science test is 3/4 . **What** is the probability of passing at least one of /a set of dependent events will occur is the **product** of their separate probabilities. This may be written /**does** not play, the probability of winning is 0.5. The probability that Big A will play is 0.3. Example cont’d – Dependent Events There were 350 students **in** **Math** 101 at university There were 350 students **in** **Math** 101 at university. Of these 350 students, 60% had an A **in** PreCalc 40S, and 30% failed **Math** 101. **Statistics**/

+ECD High **productivity** jobs and /**statistics** **in** SA Averages are uniquely misleading **in** SA – the average child **does** not exist **in** any meaningful sense Report educational **statistics** by quintile **in**/**in** PIRLS 2011. (Other countries tested Gr4) **What** **does** a dualistic school system look like **in** practice? Teacher knowledge SACMEQ III (2007) 401/498 Gr6 Mathematics teachers See Ross et al (2005) for a discussion of the teacher test. Correct answer (7km): 38% of Gr 6 **Maths** teachers 2 education systems SACMEQ **Maths**/

**Math** and CS Science and Engineering Applications Computational Applied **Math** Domain Science Science Computer Science Engineering += Biology Physics Chemistry Engineering Environmental **Math**/**in** progress, SIAM SISC Design optimization/optimal control Design of experiments – to **what**/**in** the synthesis of **statistics** and development of computer modeling: —**Statistical** analysis **in** non-linear situations can require thousands of model evaluations (e.g., using MCMC), so the ‘real’ computational problem is the **product**/l **DOE** /

top and variables **in** the with list down the side n Default l Computes Pearson **product**-moment correlation coefficients/NIVERSITY Department of Animal Science Proc Corr (Correlations) u **What** **does** the P-Value mean that is associated with each /**in** testing the null hypothesis that the coefficient (parameter) is 0. Using an alpha of 0.05: The coefficient for **math** is significantly different from 0 because its p-value is 0.000, which is smaller than 0.05. The coefficient for socst (.0498443) is not **statistically**/

Innovation and **productivity** Human capital and equity of opportunity High quality education (literacy, **MATH**, science) Daily classroom **math** instruction Where we fit on/ and Justifying Conclusions Understand and evaluate random processes underlying **statistical** experiments Make inferences and justify conclusions from sample surveys,/. “When we interviewed the students and asked them “**what** **does** it take to be successful **in** mathematics class?” they offered many different practices such as:/

Careers **in** Mathematics **Math** majors High school **math** teachers College & university **math** faculty (teachers, researchers) **What** about non-academic careers for **math** majors? Raytheon… A defense and aerospace systems company Who works there? Engineers of all sorts General, chemical, computer, electrical, hardware, industrial, logistics, mechanical, reliability, software, systems, test Raytheon: Not just for engineers Raytheon also hires mathematicians Wanted to hire people with graduate degrees **in** **math**, not/

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