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Acronym or Term
Meaning Definition/ Meaning in terms of Common Core Info. Source or For More Info:
Common Core Terms -‐ General ALD Achievement Level
Descriptors These articulate the knowledge, skills, & processes expected of students at different levels of performance on the Smarter Balanced assessments.
http://www.smarterbalanced.org/achievement-‐levels/
APLU The Association of Public & Land Grant Universities
A research, policy, & advocacy organization representing 239 public research universities, land-‐grant institutions, state university systems, & affiliated organizations.
http://www.aplu.org/page.aspx?pid=203
CBMS Conference Board of the Mathematical Sciences
An umbrella organization consisting of 17 professional societies all of which have as one of their primary objectives the increase or diffusion of knowledge in one or more of the mathematical sciences. Its purpose is to promote understanding & cooperation among these national organizations so that they work together & support each other in their efforts to promote research, improve education, & expand the uses of mathematics.
http://www.cbmsweb.org/
CGI Cognitively Guided Instruction
A professional development program based on an integrated program of research on (a) the development of students' mathematical thinking; (b) instruction that influences that development; (c) teachers' knowledge & beliefs that influence their instructional practice; & (d) the way that teachers' knowledge, beliefs, & practices are influenced by their understanding of students' mathematical thinking.
http://en.wikipedia.org/wiki/Cognitively_Guided_Instruction
CCR College & Career Readiness
The content knowledge, skills, & habits that students must possess to be successful in postsecondary education or training that leads to a sustaining career.
https://www.epiconline.org/Issues/college-‐career-‐readiness/definition.dot
CCR Anchor
College & Career Readiness Anchor
Define the literacy expectations for students entering college & careers & provide the foundation for the K-‐12
http://www.cde.ca.gov/ci/cr/cf/documents/appendixesandreferences.pdf
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Acronym or Term
Meaning Definition/ Meaning in terms of Common Core Info. Source or For More Info:
Standards Standards English language arts standards. They are essential to un-‐derstanding the structure & cohesive nature of the CCSS.
CCSS Common Core State Standards
A set of high quality academic expectations in English-‐language arts (ELA) & mathematics that define the knowledge & skills all students should master by the end of each grade level in order to be on track for success in college & career.
http://www.ccsso.org/Resources/Programs/The_Common_Core_State_Standards.html
CCSSO Council of Chief State School Officers
A non-‐partisan non-‐profit organization of public officials who head departments of elementary & secondary education in the U.S. states, the District of Columbia, the Department of Defense Education Activity & five U.S. territories.
http://en.wikipedia.org/wiki/Council_of_Chief_State_School_Officers
Cluster Groups of related standards inside domains CA CCSSM DOK
Depth of Knowledge A reference to the complexity of mental processing that must occur to answer a question, perform a task, or generate a product. There are four levels as developed by Webb: 1. Recall and Reproduction 2. Skills and Concepts 3. Strategic Thinking, Reasoning 4. Extended Thinking
http://www.google.com/search?q=Smarter+Balanced+Assessments&ie=utf-‐8&oe=utf8&aq=t&rls=org.mozilla: en-‐US:official&client=firefox-‐a&channel=fflb&gws_rd=ssl#safe=active&rls=org.mozilla:en-‐US:official&channel=fflb&sout=1&q=depth+of+knowledge+definition
Domain Clusters of standards that address “big ideas” & support connections of topics across the grades
CA CCSSM
NAEP National Assessment of Educational Progress
The largest continuing & nationally representative assessment of what American students know & can do in core subjects.
http://en.wikipedia.org/wiki/National_Assessment_of_Educational_Progress
PARCC Partnership for the Assessment of Readiness
A Consortium of states working together to develop assessments for CCSS
http://www.parcconline.org/
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Acronym or Term
Meaning Definition/ Meaning in terms of Common Core Info. Source or For More Info:
for College & Career SBAC Smarter Balanced
Assessment Consortium A consortium of states working together to develop a common set of K -‐ 12 assessments for CCSS (California belongs to this consortium)
http://www.smarterbalanced.org/smarter-‐balanced-‐assessments/
SBAC Terms Claims http://www.smarterbalanced.org/wordpress/wp-‐
content/uploads/2012/09/Smarter-‐Balanced-‐Mathematics-‐Claims.pdf Overall Claims
Grades 3-‐8 Students can demonstrate progress toward college and career readiness in mathematics
Grades 9 -‐12 Students can demonstrate college and career readiness in mathematics
Claim 1 Concepts and Procedures: Students can explain and apply mathematical concepts and carry out mathematical procedures with precision and fluency.
Claim 2 Problem Solving: Students can solve a range of well-‐posed problems in pure and applied mathematics, making productive use of knowledge and problem-‐solving strategies.
Claim 3 Communicating Reasoning: Students clearly and precisely construct viable arguments to support their own reasoning and to critique the reasoning of others.
Claim 4 Modeling and Data Analysis: Students can analyze complex, real-‐world scenarios and can construct and use mathematical models to interpret and solve problems.
CR Constructed Response Item
Prompt students to produce a text or numerical response in order to collect evidence about their knowledge or understanding of a given assessment target.
http://www.smarterbalanced.org/sample-‐items-‐and-‐performance-‐tasks/
ER Extended Response Item Also referred to as an essay question. An extended http://teaching.about.com/od/A-‐
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Acronym or Term
Meaning Definition/ Meaning in terms of Common Core Info. Source or For More Info:
response item is an open-‐ended question that begins with some type of prompt. These questions allow students to write a creative response that arrives at a conclusion based on their knowledge of the topic. An extended re-‐sponse item takes considerable time & thought. It re-‐quires students to not only give an answer, but to explain the answer with as much in-‐depth detail as possible..
ITeachingGlossary/g/Extended-‐Response-‐Item.htm
PT Performance Task Item Measure a student’s ability to integrate knowledge & skills across multiple standards—a key component of college & career readiness. Performance tasks will be used to better measure capacities such as depth of understanding, research skills, & complex analysis, which cannot be adequately assessed with selected-‐ or constructed-‐response items.
http://www.smarterbalanced.org/sample-‐items-‐and-‐performance-‐tasks/
SR Selected Response Item Prompt students to select one or more responses for a set of options.
http://www.smarterbalanced.org/sample-‐items-‐and-‐performance-‐tasks/
TE Technology Enhanced Item
Take advantage of computer-‐based administration to assess a deeper understanding of content & skills than would otherwise be possible with traditional item types. Technology-‐enhanced items capitalize on technology to collect evidence through a non-‐traditional response type, such as editing text or drawing an object.
http://www.smarterbalanced.org/sample-‐items-‐and-‐performance-‐tasks/
CC Literacy across Disciplines RST Reading Science &
Technical Subjects Just as students must learn to read, write, speak, listen, & use language effectively in a variety of content areas, so too must the Standards specify the literacy skills & understandings required for college & career readiness in multiple disciplines. Literacy standards for grade 6 &
http://www.cde.ca.gov/be/st/ss/documents/finalelaccssstandards.pdf page 2
WHST Writing History, Science & Technical Subjects
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Acronym or Term
Meaning Definition/ Meaning in terms of Common Core Info. Source or For More Info:
above are based on the expectation that teachers of ELA, history/social studies, science, & technical subjects use their expertise to help students meet the particular challenges of reading, writing, speaking, listening, & language in those content areas. It is important to note that the grades 6–12 literacy standards in history/social studies, science, & technical subjects are not meant to replace content standards in those areas but rather to supplement them. States may incorporate these standards into their standards for those subjects or adopt them as literacy standards in content areas.
Common Core Mathematics K-‐8 Acronyms Domains & Clusters K-‐8: Info from Progressions Documents: http://ime.math.arizona.edu/progressions/ CC Counting & Cardinality Counting & Cardinality underlies Operations & Algebraic
Thinking as well as Number & Operations in Base Ten. It begins with early counting & telling how many in one group of objects. Addition, subtraction, multiplication, & division grow from these early roots. This Progression involves important ideas that are neither trivial nor obvious; these ideas need to be taught, in ways that are interesting & engaging to young students.
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OA Operations & Algebraic Thinking
The Progression in Operations & Algebraic Thinking deals with the basic operations—the kinds of quantitative relationships they model & consequently the kinds of problems they can be used to solve as well as their mathematical properties & relationships. Although most of the standards organized under the OA heading involve whole numbers, the importance of the
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Acronym or Term
Meaning Definition/ Meaning in terms of Common Core Info. Source or For More Info:
Progression is much more general because it describes concepts, properties, & representations that extend to other number systems, to measures, & to algebra.
NBT Numbers & Operation in Base Ten
Students’ work in the base-‐ten system is intertwined with their work on counting & cardinality, & with the meanings & properties of addition, subtraction, multiplication, & division. Work in the base-‐ten system relies on these meanings & properties, but also contributes to deepening students’ understanding of them.
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NF Numbers & Operations Fractions
The meaning of fractions In Grades 1 & 2, students use fraction language to describe partitions of shapes into equal shares.2.G.3 In Grade 3 they start to develop the idea of a fraction more formally, building on the idea of partitioning a whole into equal parts. The whole can be a shape such as a circle or rectangle, a line segment, or any one finite entity susceptible to subdivision & measure-‐ment. In Grade 4, this is extended to include wholes that are collections of objects.
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MD Measurement & Data Measurement: Geometric measurement connects the two most critical domains of early mathematics, geometry & number, with each providing conceptual support to the other. Measurement is central to mathematics, to other areas of mathematics (e.g., laying a sensory & conceptual foundation for arithmetic with fractions), to other subject matter domains, especially science, & to activities in everyday life. For these reasons, measurement is a core component of the mathematics curriculum.
http://commoncoretools.files.wordpress.com/2012/07/ccss_progression_gm_k5_2012_07_21.pdf page 2
Data: As students work with data in Grades K–5, they build http://commoncoretools.files.wordp
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Acronym or Term
Meaning Definition/ Meaning in terms of Common Core Info. Source or For More Info:
foundations for their study of statistics & probability in Grades 6 & beyond, & they strengthen & apply what they are learning in arithmetic. Kindergarten work with data uses counting & order relations. First-‐ & second-‐graders solve addition & subtraction problems in a data context. In Grades 3–5, work with data is closely related to the number line, fraction concepts, fraction arithmetic, & solving problems that involve the four operations.
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G Geometry Geometric & spatial thinking are important in & of themselves, because they connect mathematics with the physical world, & play an important role in modeling phenomena whose origins are not necessarily physical, e.g., as networks or graphs. They are also important because they support the development of number & arithmetic concepts & skills. Thus, geometry is essential for all grade levels for many reasons: its mathematical content, its roles in physical sciences, engineering, & many other subjects, & its strong aesthetic connections. This progression discusses the most important goals for elementary geometry according to three categories. � Geometric shapes, their components (e.g., sides,
angles, faces), their properties, & their categorization based on those properties.
� Composing & decomposing geometric shapes. � Spatial relations & spatial structuring.
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RP Ratio & Proportional Relations
The study of ratios & proportional relationships extends students’ work in measurement & in multiplication & division in the elementary grades. Ratios & proportional
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Acronym or Term
Meaning Definition/ Meaning in terms of Common Core Info. Source or For More Info:
relationships are foundational for further study in mathematics & science & useful in everyday life. Students use ratios in geometry & in algebra when they study similar figures & slopes of lines, & later when they study sine, cosine, tangent, & other trigonometric ratios in high school. Students use ratios when they work with situations involving constant rates of change, & later in calculus when they work with average & instantaneous rates of change of functions. An understanding of ratio is essential in the sciences to make sense of quantities that involve derived attributes such as speed, acceleration, density, surface tension, electric or magnetic field strength, & to understand percentages & ratios used in describing chemical solutions. Ratios & percentages are also useful in many situations in daily life, such as in cooking & in calculating tips, miles per gallon, taxes, & discounts. They also are also involved in a variety of descriptive statistics, including demographic, economic, medical, meteorological, & agricultural statistics (e.g., birth rate, per capita income, body mass index, rain fall, & crop yield) & underlie a variety of measures, e.g., in finance (exchange rate), medicine (dose for a given body weight), & technology (kilobits per second).
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NS The Number System In Grades 6–8, students build on two important concept-‐tions which have developed throughout K–5, in order to understand the rational numbers as a number system. The first is the representation of whole numbers & fractions as points on the number line, & the second is a firm
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Acronym or Term
Meaning Definition/ Meaning in terms of Common Core Info. Source or For More Info:
understanding of the properties of operations on whole numbers & fractions.
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EE Expressions & Equations Mathematical expressions express calculations with numbers. Some of the numbers might be given explicitly, like 2 or 3/4 . Other numbers in the expression might be represented by letters, such as x, y, P, or n. The calculation an expression represents might use only a single opera-‐tion, as in 4 + 3 or 3x, or it might use a series of nested or parallel operations, as in 3(a + 9)q -‐ 9/b. An expression can consist of just a single number, even 0.
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SP Statistics & Probability In Grade 6, students build on the knowledge & experi-‐ences in data analysis developed in earlier grades. They develop a deeper understanding of variability & more precise descriptions of data distributions, using numerical measures of center & spread, & terms such as cluster, peak, gap, symmetry, skew, & outlier. They begin to use histograms & box plots to represent & analyze data distributions. As in earlier grades, students view statistical reasoning as a four-‐step investigative process: � Formulate questions that can be answered with data � Design & use a plan to collect relevant data � Analyze the data with appropriate methods � Interpret results & draw valid conclusions from the data
that relate to the questions posed. In Grade 7, students move from concentrating on analysis of data to production of data, understanding that good answers to statistical questions depend upon a good plan for collecting data relevant to the questions of interest.
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Acronym or Term
Meaning Definition/ Meaning in terms of Common Core Info. Source or For More Info:
Because statistically sound data production is based on random sampling, a probabilistic concept, students must develop some knowledge of probability before launching into sampling. Their introduction to probability is based on seeing probabilities of chance events as long-‐run relative frequencies of their occurrence, & many opportunities to develop the connection between theoretical probability models & empirical probability approximations. This connection forms the basis of statistical inference. Eighth graders apply their experience with the coordinate plane & linear functions in the study of association between two variables related to a question of interest. As in the univariate case, analysis of bivariate measurement data graphed on a scatterplot proceeds by describing shape, center, & spread. But now “shape” refers to a cloud of points on a plane, “center” refers to a line drawn through the cloud that captures the essence of its shape, & “spread” refers to how far the data points stray from this central line. Students extend their understanding of “cluster” & “outlier” from univariate data to bivariate data. They summarize bivariate categorical data using two-‐way tables of counts and/or proportions, & examine these for patterns of association.
F Functions Functions describe situations in which one quantity is determined by another. The area of a circle, e.g., is a function of its radius. When describing relationships between quantities, the defining characteristic of a function is that the input value determines the output
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Acronym or Term
Meaning Definition/ Meaning in terms of Common Core Info. Source or For More Info:
value or, equivalently, that the output value depends upon the input value. Since the elementary grades, students have been describing patterns & expressing relationships between quantities. These ideas become semi-‐formal in Grade 8 with the introduction of the concept of function: a rule that assigns to each input exactly one output.8.F.1 Building on their earlier experiences with graphs & tables in Grades 6 & 7, students a routine of exploring functional relationships algebraically, graphically, numerically in tables, & through verbal descriptions.8.F.2
Domains & Clusters 9-‐12: Info from Progressions Documents: http://ime.math.arizona.edu/progressions/ Number & Quantity N-‐RN The Real Number System In Grades 6–8 students began to widen the possible types
of number they can conceptualize on the number line. In Grade 8 they glimpse the existence of irrational numbers such as √2. In high school, they start a systematic study of functions that can take on irrational values, such as f(x) = x2 exponential, logarithmic, & power functions.
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N-‐Q Quantities There is no progression document on this topic
N-‐CN The Complex Number System
That complex numbers have a practical application is surprising to many. But it turns out that many phenomena involving real numbers become simpler when the real numbers are viewed as a subsytem of the complex numbers. E.g., complex solutions of differential equations can give a unified picture of the behavior of real solutions. Students get a glimpse of this when they study complex
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solutions of quadratic equations. When complex numbers are brought into the picture, every quadratic polynomial can be expressed as a product of linear factors.
N-‐VM Vector & Matrix Quantities
There is no progression document on this topic
Algebra OA-‐SSE Seeing Structure in
Equations Students have been seeing expressions since Kindergar-‐ten, starting with arithmetic expressions in Grades K–5 & moving on to algebraic expressions in Grades 6–8. The middle grades standards in Expression & Equations build a ramp from arithmetic expressions in elementary school to more sophisticated work with algebraic expressions in high school. As the complexity of expressions increases, students continue to see them as being built out of basic operations: they see expressions as sums of terms & products of factors.A-‐SSE.1a
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A-‐APR Arithmetic with Polynomials & Rational Expressions
Students learn to use the properties of operations to write expressions in different but equivalent forms. At some point they see equivalent expressions, particularly poly-‐nomial & rational expressions, as naming some underlying thing.A-‐APR.1 There are at least two ways this can go. If the function concept is developed before or con-‐currently with the study of polynomials, then a polynomial can be identified with the function it defines. Another approach is to think of polynomials as elements of a formal number system, in which you introduce the “number” x & see what numbers you can write down with it. Each approach has its advantages & disadvantages; the former approach
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is more common. Whichever are chosen & whether or not the choice is explicitly stated, a curricular implementation should nonetheless be constructed to be consistent with the choice that has been made. Either way, polynomials & rational expressions come to form a system in which they can be added, subtracted, multiplied anddivided.A-‐APR.7 Polynomials are analogous to the integers; rational expressions are analogous to the rational numbers
A-‐CED Creating Equations Students have been seeing & writing equations since elementary grades, with mostly linear equations in middle grades. At first glance it might seem that the progression from middle grades to high school is fairly straightforward: the repertoire of functions that is acquired during high school allows students to create more complex equations, including equations arising from linear & quadratic ex-‐pressions, & simple rational & exponential expressions;A-‐CED.1 students are no longer limited largely to linear equations in modeling relationships between quantities with equations in two variables;A-‐CED.2 & students start to work with inequalities & systems of equations. A-‐CED.3 Two developments in high school complicate this picture. First, students in high school start using parameters in their equations, to represent whole classes of equations F-‐LE.5 or to represent situations where the equation is to be adjusted to fit data. Second, modeling becomes a major objective in high school. Two of the standards just cited refer to “solving problems” & “interpreting solutions in a modeling context.” & all the standards in the Creating
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Equations group carry a modeling star, denoting their connection with the Modeling category in high school. This connotes not only an increase in the complexity of the equations studied, but an upgrade of the student’s ability in every part of the modeling cycle.
A-‐REI Reasoning with Equations & Inequalities
A written sequence of steps to solve an equation is code for a narrative line of reasoning using words like “if,” “then,” “for all,” & “there exists.” In the process of learning to solve equations, students learn certain stan-‐dard “if–then” moves, e.g., “if x = y then x + 2 = y + 2. The danger in learning algebra is that students emerge with nothing but the moves, which may make it difficult to detect incorrect or made-‐up moves later on. Thus the first requirement in the standards in this domain is that students understand that solving equations is a process of reasoning.A-‐REI.1 This does not necessarily mean that they always write out the full text; part of the advantage of algebraic notation is its compactness. Once students know what the code stands for, they can start writing in code. Thus, eventually students might go from without intermediate steps.
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Functions F-‐IF Interpreting Functions Building on semi-‐formal notions of functions from Grade
8, students in high school begin to use formal notation & language for functions. Now the input/output relationship is a correspondence between two sets: the domain & the range.F-‐IF.1 The domain is the set of input values, & the range is the set of output values. A key advantage of
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function notation is that the correspondence is built into the notation.
F-‐BF Building Functions The Building Functions group focuses on building functions to model relationships, & building new functions from existing functions This cluster of standards is very closely related to the algebra standard on writing equations in two variables. A-‐CED.2 Indeed, that algebra standard might well be met by a curriculum in the same unit as this cluster. Although students will eventually study various families of functions, it is useful for them to have experiences of building functions from scratch, without the aid of a host of special recipes, by grappling with a concrete context for clues.F-‐BF.1a
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F-‐LE Linear, Quadratic & Exponential Models
Construct & compare linear & exponential models & solve problems involves distinguishing between situations that can be modeled with linear functions & with exponential functions F-‐LE.1a & turns on understanding their rates of growth & looking for indications of these types of growth rates (MP.7). One indicator of these growth rates is differences over equal intervals, given, e.g., in a table of values drawn from the situation—with the understanding that such a table may only approximate the situation (MP.4).
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F-‐TF Trigonometric Functions Students begin their study of trigonometry with right triangles. G-‐SRT.6 Right triangle trigonometry is concerned with ratios of sides of right triangles, allowing functions of angle measures to be defined in terms of these ratios. This limits the angles considered to those between 0° & 90° In this progression the following ideas are added to the
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notion of trigonometry: � Extend the domain of trigonometric functions using the
unit circle � Model periodic phenomena with trigonometric
functions � Prove & apply trigonometric identities
Geometry There is no progression document on this topic
G-‐CO Congruence G-‐SRT Similarity, Right
Triangles, & Trigonometry
G-‐C Circles G-‐ GPE Expressing Geometric
Properties with Equations
G-‐GMD Geometric Measurement & Dimension
G-‐MG Modeling with Geometry Statistics & Probability S-‐ID Interpreting
Categorical & Quantitative Data
Students build on the understanding of key ideas for describing distributions—shape, center, & spread—de-‐scribed in the Grades 6-‐8 Statistics & Probability Progression. This enhanced understanding allows them to give more precise answers to deeper questions, often involving comparisons of data sets. Students use shape & the question(s) to be answered to decide on the median or mean as the more appropriate measure of center & to
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justify their choice through statistical reasoning. They also add a key measure of variation to their toolkits
S-‐IC Making Inferences & Justifying Conclusions
Students move beyond analyzing data to making sound statistical decisions based on probability models. The reasoning process is as follows: develop a statistical question in the form of a hypothesis (supposition) about a population parameter; choose a probability model for collecting data relevant to that parameter; collect data; compare the results seen in the data with what is expected under the hypothesis. If the observed results are far away from what is expected & have a low probability of occurring under the hypothesis, then that hypothesis is called into question. In other words, the evidence against the hypothesis is weighed by probability. S-‐IC.1
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S-‐CP Conditional Probability & Rules of Probability
In high school, the relative frequency approach to probability is extended to conditional probability & independence, rules of probability & their use in finding probabilities of compound events, & the use of probability distributions to solve problems involving expected value. As seen in the making inferences section above, there is a strong connection between statistics & probability. This will be seen again in this section with the use of data in selecting values for probability models.
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S-‐MD Using Probability to Make Decisions
As students gain experience with probability problems that deal with listing & counting outcomes, they will come to realize that, most often, applied problems concern some numerical quantity of interest rather than a description of the outcomes themselves. Students should
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understand that probabilities & expected values must be thought of as long-‐term relative frequencies & means, & consider the implications of that view in decision making.
Modeling Modeling in High School In high school, modeling involves a way of thought differ-‐rent from what students are taught when they learn much of the core K–8 mathematics. It provides experience in approaching problems that are not precisely formulated & for which there is not necessarily a single “correct" an-‐swer. Deciding what is left out of a model can be as impor-‐tant as deciding what is put in. Judgment, approximation, & critical thinking enter into the process. Modeling can have differing goals depending on the situation—some-‐times the aim is quantitative prediction, e.g., in weather modeling, & sometimes the aim is to create a simple model that captures some qualitative aspect of the system with a goal of better understanding the system, e.g. modeling the cyclic nature of predator-‐prey populations
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Illustrative Mathematics Project A community of educators dedicated to the coherent learning of mathematics. They share carefully vetted resources for teachers & teacher leaders to give our children an understanding of mathematics & skill in using it. They provide expert guidance to states & districts working to improve mathematics education.
http://illustrativemathematics.org/
Inside Mathematics Provides a resource for educators around the world who struggle to provide the best mathematics instruction they can for their students. Too often, teachers who excel at reaching students have few ways of sharing these strong practices with others – & teachers who struggle, struggle
www.insidemathematics.org/.
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alone. Our classroom doors have remained closed too often & for too long.
MARS Tasks
Mathematics Assessment Resource Service Tasks
The Mathematics Assessment Resource Service (MARS), a project of UC Berkeley, Michigan State, & the Shell Centre in Nottingham England designed these formative performance assessment tasks.
https://www.scoe.org/pub/htdocs/ccss-‐mathematics.html http://mathshell.org/ba_mars.htm
MTEP Mathematics Teacher Education Preparation
This partnership provides a coordinated research, development, & implementation effort for secondary mathematics teacher preparation programs in order to meet the challenges of the Common Core State Standards for Mathematics & to embody research & best practices in the field.
http://www.aplu.org/mtep
NCSM Great Tasks This project is a collection of tasks to support implementation of the CCSS.
http://www.mathedleadership.org/ccss/greattasks.html
Progressions Funded by the Brookhill Foundation, This project is organizing the writing of final versions of the progressions documents for the K–12 Mathematics Common Core State Standards.
http://ime.math.arizona.edu/progressions/
SMP SMP – Standards for Mathematical Practice
Describe varieties of expertise that mathematics educators at all levels should seek to develop in their students.
http://www.corestandards.org/Math/Practice/
Organizations that support Mathematics Education
AMTE Association of Mathematics Teacher Educators
Organization dedicated to the improvement of mathematics teacher education.
http://www.camte.org/
CAMTE California Association of Mathematics Teacher
Organization dedicated to serving those who provide professional development and or preservice education to
http://www.camte.org/
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Acronym or Term
Meaning Definition/ Meaning in terms of Common Core Info. Source or For More Info:
Educators K-‐12 mathematics teachers in California. NCTM National Council of
Teachers of Mathematics The public voice of mathematics education, supporting teachers to ensure equitable mathematics learning of the highest quality for all students through vision, leadership, professional development, and research
http://www.nctm.org/
NCSM National Council of Supervisors of Mathematics
Mathematics leadership organization for educational leaders providing professional learning opportunities necessary to support and sustain improved student achievement.
http://www.mathedleadership.org/
TODOS TODOS: Mathematics for All
A Mathematics education association that advocates for equity and high quality mathematics education for all students— in particular, Latina/o students.
http://www.todos-‐math.org/
CMC3 California Math Council-‐Community Colleges
Organization that serves the needs of California Community College math educators in Northern and Central California.
http://www.cmc3.org/
CMC3-‐S California Math Council-‐Community Colleges-‐South
Organization that serves the needs of California Community College math educators in Southern California.
CMC California Mathematics Council
Organization committed to improving mathematics learning in the private and public classrooms throughout California.
http://cmc-‐math.org/
CMC-‐S California Mathematics Council-‐South
So Cal's organization for pre-‐K to grade 16 Mathematics Educators, the California Mathematics Council -‐ South. A non-‐profit, all volunteer organization that serves to improve mathematics teaching and learning in public, charter and private school settings across eight counties (Santa Barbara, Ventura, Los Angeles, Orange, Riverside, San Bernardino, Imperial, and San Diego).
http://www.cmc-‐south.org/
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Acronym or Term
Meaning Definition/ Meaning in terms of Common Core Info. Source or For More Info:
CMC-‐S Affiliates AVMC Antelope Valley Math
Council Organization serving mathematics educators in the Antelope Valley.
https://www.facebook.com/pages/Antelope-‐Valley-‐Mathematics-‐Council/168634636493172
GSDMC Greater San Diego Math Council,
Organization serving mathematics educators in San Diego County.
http://www.gsdmc.org/
GLAMC Greater Los Angeles Mathematics Council
Organization serving mathematics educators San in the Greater Los Angeles area.
http://glamc.org/
ICMC Imperial County Math Council
Organization serving mathematics educators in the Imperial County area.
http://imperialcmc.weebly.com/index.html
OCMC Orange County Math Council
Organization serving mathematics educators in the Orange County area.
http://www.ocmathcouncil.com/
RSBMTA Riverside San Bernardino Math Teachers Association
Organization serving mathematics educators in both the Riverside and San Bernardino County areas.
http://cmc-‐math.org/organization/affiliates/RSBCMTA/default.html
SGVMC San Gabriel Valley Math Council
Organization serving mathematics educators in the San Gabriel Valley area.
http://mysgvmc.weebly.com/
VCMC Ventura County Math Council
Organization serving mathematics educators in the Ventura County area.
http://www.vcmc.org/
CMC-‐C and Affiliates CMC-‐C California Mathematics
Council Central The Central Section serves educators from Paso Robles through the Central Valley of California to the Nevada border and south to Santa Barbara.
http://cmc-‐math.org/cmc-‐organization/cmc-‐central/cmc-‐central-‐home/
Bakersfield Math Council Organization serving mathematics educators in the Kern County area.
P-‐16 Math Council, San Luis Obispo
Organization serving mathematics educators in the San Luis Obispo County area.
SMC SStanislaus Math Council Organization serving mathematics educators in the http://www.stanislausmathcouncil.o
22
Acronym or Term
Meaning Definition/ Meaning in terms of Common Core Info. Source or For More Info:
Calaveras, Mariposa, Merced, San Joaquin, Stanislaus and Tuolumne counties.
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CMC-‐N and Affiliates CMC-‐N California Mathematics
Council -‐ North The northern section serves educators from the northern California border with Oregon, south to Monterey.
AC3ME Alameda Contra Costa County Math Educators
Organization serving mathematics educators in the Alameda and Contra Costa Counties, and throughout the greater Bay area.
http://cmc-‐math.org/AC3ME/
C3ASME Contra Costa County Association of Science and Math Educators
Organization serving mathematics educators in Contra Costa County.
CMSESMC Council of Math and Science Educators of San Mateo County
Organization serving mathematics and science educators in San Mateo County.
http://www.cmsesmc.org/
MESC Math Educators of Solano County
Organization serving mathematics educators in Solano & Yolo Counties
MLMC Mt Lassen Math Council Organization serving mathematics educators in the Mount Lassen area
https://www.facebook.com/MLMC.MtLassenMathCouncil
MDMC Monterey Bay Counties Math Educators
Organization serving mathematics educators in the Monterey Bay area
MC-‐N California Mathematics Council – Far North
Organization serving mathematics educators in the Humboldt, Del Norte and neighboring counties.
http://www.cmcfn.com/
NNMC Northern Nevada Math Council
Organization serving mathematics educators in the Washoe County and Reno, Nevada area.
https://sites.google.com/site/nnevadamathcouncil/
SAME Sacramento Area Math Educators
Organization serving mathematics educators in the Sacramento area.
http://edweb.csus.edu/projects/same/
SFMTA San Francisco Math Teachers Association,
Organization serving mathematics educators in the San Francisco area.
23
Acronym or Term
Meaning Definition/ Meaning in terms of Common Core Info. Source or For More Info:
SFMTA SCVMA Santa Clara Valley Math
Association Organization serving mathematics educators in the Santa Clara area.
http://www.scvmath.org/
WCMC Wine Country Math Council
Organization serving mathematics educators in the Sonoma, Lake, and Mendocino County areas