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Number Sense, Concepts, and Operations Examples of Number Sense, Concepts, and Operations

Florida's Sunshine State Standards (Math 9-12) encountered on ALLSTAR Level-2 Principles

EXPLANATION: The objective or standard listed below is linked to the section of ALLSTAR that pertains to that particular Sunshine State Standard. The standards or sub-standards that do not apply were marked with "N/A" or left out intentionally, yet the original numbering schema for standards and sub-components were maintained. For example, to find the Florida Sunshine Standards that apply to Math for grades 4-8, look at the teacher resource page. There will be a link to navigate to the page on Objectives Covered in Math 4-8.

Standard 1: The student understands the different ways numbers are represented and used in the real world.

1.associates verbal names, written word names, and standard numerals with integers, rational numbers, irrational numbers, real numbers, and complex numbers.

2. n/a

3.understands concrete and symbolic representations of real and complex numbers in real-world situations.

4.understands that numbers can be represented in a variety of equivalent forms, including integers, fractions, decimals, percents, scientific notation, exponents, radicals, absolute value, and logarithms.

Standard 3: The student understands the effects of operations on numbers and the relationships among these operations, selects appropriate operations, and computes for problem solving.

1.understands and explains the effects of addition, subtraction, multiplication, and division on real numbers, including square roots, exponents, and appropriate inverse relationships.

2. n/a

3.adds, subtracts, multiplies, and divides real numbers, including square roots and exponents, using appropriate methods of computing, such as mental mathematics, paper and pencil, and calculator.

Standard 4: The student uses estimation in problem solving and computation.

1.uses estimation strategies in complex situations to predict results and to check the reasonableness of results.

Standard 5: The student understands and applies theories related to numbers

1.applies special number relationships such as sequences and series to real-world problems.

 

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Measurement Examples of Measurement

Florida's Sunshine State Standards (Math 9-12) encountered on ALLSTAR Level-2 Principles

EXPLANATION: The objective or standard listed below is linked to the section of ALLSTAR that pertains to that particular Sunshine State Standard. The standards or sub-standards that do not apply were marked with "N/A" or left out intentionally, yet the original numbering schema for standards and sub-components were maintained. For example, to find the Florida Sunshine Standards that apply to Math for grades 4-8, look at the teacher resource page. There will be a link to navigate to the page on Objectives Covered in Math 4-8.

Standard 1: The student measures quantities in the real world and uses the measures to solve problems.

1. n/a

2.uses concrete and graphic models to derive formulas for finding rate, distance, time, angle measures, and arc lengths. 3.relates the concepts of measurement to similarity and proportionality in real-world situations.

Standard 2: The student compares, contrasts, and converts within systems of measurement (both standard/nonstandard and metric/customary).

1. n/a

2.solves real-world problems involving rated measures (miles per hour, feet per second).

Standard 3: The student estimates measurements in real-world problem situations.

1.solves real-world and mathematical problems involving estimates of measurements, including length, time, weight/mass, temperature, money, perimeter, area, and volume, and estimates the effects of measurement errors on calculations.

Standard 4: The student selects and uses appropriate units and instruments for measurement to achieve the degree of precision and accuracy required in real-world situations.

Example 1

1.determines the level of accuracy and precision, including absolute and relative errors or tolerance, required in real-world measurement situations.

2.selects and uses appropriate instruments, technology, and techniques to measure quantities in order to achieve specified degrees of accuracy in a problem situation.

 

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Geometry and Spatial Sense Example of Geometry and Spatial sense

Florida's Sunshine State Standards (Math 9-12) encountered on ALLSTAR Level-2 Principles

EXPLANATION: The objective or standard listed below is linked to the section of ALLSTAR that pertains to that particular Sunshine State Standard. The standards or sub-standards that do not apply were marked with "N/A" or left out intentionally, yet the original numbering schema for standards and sub-components were maintained. For example, to find the Florida Sunshine Standards that apply to Math for grades 4-8, look at the teacher resource page. There will be a link to navigate to the page on Objectives Covered in Math 4-8.

Standard 1: The student describes, draws, identifies, and analyzes two- and three-dimensional shapes.

1. uses properties and relationships of geometric shapes to construct formal and informal proofs.

Standard 2: The student visualizes and illustrates ways in which shapes can be combined, subdivided, and changed.

1. understands geometric concepts such as perpendicularity, parallelism, tangency, congruency, similarity, reflections, symmetry, and transformations including flips, slides, turns, enlargements, rotations, and fractals.

2. analyzes and applies geometric relationships involving planar cross-sections (the intersection of a plane and a three-dimensional figure). Example 1

Standard 3: The student uses coordinate geometry to locate objects in both two and three dimensions and to describe objects algebraically.

1.represents and applies geometric properties and relationships to solve real-world and mathematical problems including ratio, proportion, and properties of right triangle trigonometry.

2.using a rectangular coordinate system (graph), applies and algebraically verifies properties of two- and three-dimensional figures, including distance, midpoint, slope, parallelism, and perpendicularity.

 

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Algebraic Thinking Example of Algebraic Thinking

Florida's Sunshine State Standards (Math 9-12) encountered on ALLSTAR Level-2 Principles

EXPLANATION: The objective or standard listed below is linked to the section of ALLSTAR that pertains to that particular Sunshine State Standard. The standards or sub-standards that do not apply were marked with "N/A" or left out intentionally, yet the original numbering schema for standards and sub-components were maintained. For example, to find the Florida Sunshine Standards that apply to Math for grades 4-8, look at the teacher resource page. There will be a link to navigate to the page on Objectives Covered in Math 4-8.

Standard 1: The student describes, analyzes, and generalizes a wide variety of patterns, relations, and functions.

1.describes, analyzes, and generalizes relationships, patterns, and functions using words, symbols, variables, tables, and graphs.

2.determines the impact when changing parameters of given functions.

Standard 2: The student uses expressions, equations, inequalities, graphs, and formulas to represent and interpret situations.

1.represents real-world problem situations using finite graphs, matrices, sequences, series, and recursive relations.

2.uses systems of equations and inequalities to solve real-world problems graphically, algebraically, and with matrices.

 

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Data Analysis and Probability Example of Data Analysis and Probability

Florida's Sunshine State Standards (Math 9-12) encountered on ALLSTAR Level-2 Principles

EXPLANATION: The objective or standard listed below is linked to the section of ALLSTAR that pertains to that particular Sunshine State Standard. The standards or sub-standards that do not apply were marked with "N/A" or left out intentionally, yet the original numbering schema for standards and sub-components were maintained. For example, to find the Florida Sunshine Standards that apply to Math for grades 4-8, look at the teacher resource page. There will be a link to navigate to the page on Objectives Covered in Math 4-8.

Standard 1: The student understands and uses the tools of data analysis for managing information.

1.interprets data that has been collected, organized, and displayed in charts, tables, and plots.

2.calculates measures of central tendency (mean, median, and mode) and dispersion (range, standard deviation, and variance) for complex sets of data and determines the most meaningful measure to describe the data.

3. n/a

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The Nature of Matter Example of The Nature of Matter

Florida's Sunshine State Standards (Science 9-12) encountered on ALLSTAR Level-2 Principles

EXPLANATION: The objective or standard listed below is linked to the section of ALLSTAR that pertains to that particular Sunshine State Standard. The standards or sub-standards that do not apply were marked with "N/A" or left out intentionally, yet the original numbering schema for standards and sub-components were maintained. For example, to find the Florida Sunshine Standards that apply to Science for grades 4-8, look at the teacher resource page. There will be a link to navigate to the page on Objectives Covered in Science 4-8.

Standard 1: The student understands that all matter has observable, measurable properties.

1. n/a

2. n/a

3. knows that a change from one phase of matter to another involves a gain or loss of energy.

4.experiments and determines that the rates of reaction among atoms and molecules depend on the concentration, pressure, and temperature of the reactants and the presence or absence of catalysts.

5. n/a

Standard 2: The student understands the basic principles of atomic theory.

1 n/a

2. n/a

3 n/a

4. n/a

5. n/a

6. understands that matter may act as a wave, a particle, or something else entirely different with its own characteristic behavior.

 

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Energy Example of Energy

Florida's Sunshine State Standards (Science 9-12) encountered on ALLSTAR Level-2 Principles

EXPLANATION: The objective or standard listed below is linked to the section of ALLSTAR that pertains to that particular Sunshine State Standard. The standards or sub-standards that do not apply were marked with "N/A" or left out intentionally, yet the original numbering schema for standards and sub-components were maintained. For example, to find the Florida Sunshine Standards that apply to Science for grades 4-8, look at the teacher resource page. There will be a link to navigate to the page on Objectives Covered in Science 4-8.

Standard 1: The student recognizes that energy may be changed in form with varying efficiency.

1.understands how knowledge of energy is fundamental to all the scientific disciplines (e.g., the energy required for biological processes in living organisms and the energy required for the building, erosion, and rebuilding of the Earth).

2.understands that there is conservation of mass and energy when matter is transformed.

3.knows that temperature is a measure of the average translational kinetic energy of motion of the molecules in an object.

4. n/a

5.knows that each source of energy presents advantages and disadvantages to its use in society (e.g., political and economic implications may determine a society's selection of renewable or nonrenewable energy sources).

6.knows that the first law of thermodynamics relates the transfer of energy to the work done and the heat transferred.

7.knows that the total amount of usable energy always decreases, even though the total amount of energy is conserved in any transfer.

Standard 2: The student understands the interaction of matter and energy.

1.knows that the structure of the universe is the result of interactions involving fundamental particles (matter) and basic forces (energy) and that evidence suggests that the universe contains all of the matter and energy that ever existed.

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Force and Motion Example of Force and Motion

Florida's Sunshine State Standards (Science 9-12) encountered on ALLSTAR Level-2 Principles

EXPLANATION: The objective or standard listed below is linked to the section of ALLSTAR that pertains to that particular Sunshine State Standard. The standards or sub-standards that do not apply were marked with "N/A" or left out intentionally, yet the original numbering schema for standards and sub-components were maintained. For example, to find the Florida Sunshine Standards that apply to Science for grades 4-8, look at the teacher resource page. There will be a link to navigate to the page on Objectives Covered in Science 4-8.

Standard 1: The student understands that types of motion may be described, measured, and predicted.

1.knows that all motion is relative to whatever frame of reference is chosen and that there is no absolute frame of reference from which to observe all motion.

2.knows that any change in velocity is an acceleration.

Standard 2: The student understands that the types of force that act on an object and the effect of that force can be described, measured, and predicted.

1.knows that acceleration due to gravitational force is proportional to mass and inversely proportional to the square of the distance between the objects.

2. n/a

3. n/a

4 .knows that the forces that hold the nucleus of an atom together are much stronger than electromagnetic force and that this is the reason for the great amount of energy released from the nuclear reactions in the sun and other stars.

5.knows that most observable forces can be traced to electric forces acting between atoms or molecules.

6.explains that all forces come in pairs commonly called action and reaction.

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Processes that Shape the Earth Example of Processes that Shape the Earth

Florida's Sunshine State Standards (Science 9-12) encountered on ALLSTAR Level-2 Principles

EXPLANATION: The objective or standard listed below is linked to the section of ALLSTAR that pertains to that particular Sunshine State Standard. The standards or sub-standards that do not apply were marked with "N/A" or left out intentionally, yet the original numbering schema for standards and sub-components were maintained. For example, to find the Florida Sunshine Standards that apply to Science for grades 4-8, look at the teacher resource page. There will be a link to navigate to the page on Objectives Covered in Science 4-8.

Standard 1: The student recognizes that processes in the lithosphere, atmosphere, hydrosphere, and biosphere interact to shape the Earth.

1.knows how climatic patterns on Earth result from an interplay of many factors (Earth's topography, its rotation on its axis, solar radiation, the transfer of heat energy where the atmosphere interfaces with lands and oceans, and wind and ocean currents).

2. n/a

3. n/a

4. n/a

 

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The Nature of Science Example of  The Nature of Science

Florida's Sunshine State Standards (Science 9-12) encountered on ALLSTAR Level-2 Principles

EXPLANATION: The objective or standard listed below is linked to the section of ALLSTAR that pertains to that particular Sunshine State Standard. The standards or sub-standards that do not apply were marked with "N/A" or left out intentionally, yet the original numbering schema for standards and sub-components were maintained. For example, to find the Florida Sunshine Standards that apply to Science for grades 4-8, look at the teacher resource page. There will be a link to navigate to the page on Objectives Covered in Science 4-8.

Standard 3: The student understands that science, technology, and society are interwoven and interdependent.

1.knows that performance testing is often conducted using small-scale models, computer simulations, or analogous systems to reduce the chance of system failure.

2.knows that technological problems often create a demand for new scientific knowledge and that new technologies make it possible for scientists to extend their research in a way that advances science.

3.knows that scientists can bring information, insights, and analytical skills to matters of public concern and help people understand the possible causes and effects of events.

4.knows that funds for science research come from federal government agencies, industry, and private foundations and that this funding often influences the areas of discovery.

5.knows that the value of a technology may differ for different people and at different times.

6.knows that scientific knowledge is used by those who engage in design and technology to solve practical problems, taking human values and limitations into account.

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Updated: March 12, 2004