Level 3 Sunshine State Math Objectives

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.

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.

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.

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

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

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

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).

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.

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.

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.

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.

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.

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.


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