Florida State Standards Alignment Grades One through Twelve

Transcription

1 Florida State Standards Alignment Grades One through Twelve Trademark of Renaissance Learning, Inc., and its subsidiaries, registered, common law, or pending registration in the United States and other countries. P.O. Box 8036 Wisconsin Rapids, WI Phone: (800) Fax: (715)

2 Florida State Standards Alignment The Report is a standardsoriented document showing the entire list of standards for the subject and grade on the left side of the report with the aligning product objectives on the right side. This alignment report shows the breadth of standards coverage for the purpose and focus of this product. Note to Educator...iii Grade Grade Grade Grade Grade Grade Grade Grade Algebra...50 Geometry...74 Probability...84 Statistics...86 Precalculus...92 Calculus by Renaissance Learning, Inc. All rights reserved. No portion of this document may be reproduced, by any process or technique, without the express written consent of Renaissance Learning, Inc. ii

3 P.O. Box 8036 Wisconsin Rapids, WI Phone: (800) Fax: (715) Note to Educator: Thank you for your interest in Renaissance Learning technology. The attached document contains the alignment between the software and/or instructional materials and the skills described in the state standards documentation. At Renaissance Learning, we recognize the impact that the standards-based reform movement and high-stakes standardized testing have on schools, and we share the concerns of educators and administrators that students perform well on high-stakes assessments. We hope this report answers your questions regarding the alignment of Renaissance Learning technology and materials to your state standards. If you have any questions about the attached document, please feel free to call us at (800) Sincerely, Renaissance Sales and Funding Staff iii

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5 Accelerated Math Grade 1 Florida, Math, 2007, First Grade, Next Accelerated Math Second Edition Grade 1 FL MA.1.A.1 - Develop understandings of addition and subtraction strategies for basic addition facts and related subtraction facts. FL MA.1.A Model addition and subtraction situations using the concepts of "part-whole," "adding to," "taking away from," "comparing," and "missing addend." FL MA.1.A Identify, describe, and apply addition and subtraction as inverse operations. FL MA.1.A Create and use increasingly sophisticated strategies, and use properties such as Commutative, Associative and Additive Identity, to add whole numbers. FL MA.1.A Use counting strategies, number patterns, and models as a means for solving basic addition and subtraction fact problems. Page 1 of 110 Topic 1 - Numbers and Topic 2 - Algebraic Thinking Topic 1 - Numbers and Topic 1 - Numbers and Obj Complete an addition and subtraction fact family Obj Apply the inverse relationship between addition facts and subtraction facts Obj Determine a missing addend in a basic addition-fact number sentence Obj Determine a missing subtrahend in a basic subtraction-fact number sentence Obj WP: Determine a missing addend or subtrahend in a basic addition- or subtraction-fact number sentence Obj Add zero to any number less than 100 Obj Determine the missing portion in a partially screened (hidden) collection of up to 10 objects Obj Relate a picture model to a basic addition fact Obj Determine the basic addition fact shown by a picture model Obj Relate a number-line model to a basic addition fact Obj Determine the basic addition fact shown by a number-line model Obj Relate a picture model to a basic subtraction fact

6 Accelerated Math Grade 1 Florida, Math, 2007, First Grade, Accelerated Math Second Edition Grade 1 Next FL MA.1.A.2 - Develop an understanding of whole number relationships, including grouping by tens and ones. FL MA.1.A Compare and order whole numbers at least to 100. Topic 1 - Numbers and Obj Determine the basic subtraction fact shown by a picture model Obj Determine the basic subtraction fact shown by a numberline model Obj Relate a number-line model to a basic subtraction fact Obj Apply the relationship between addition and counting on Obj Apply the relationship between subtraction and counting back Obj Compare whole numbers to 100 using words FL MA.1.A Represent two digit numbers in terms of tens and ones. Topic 1 - Numbers and Obj Order whole numbers to 100 in ascending order Obj Order whole numbers to 100 in descending order Obj Count objects grouped in tens and ones Obj Model a number to 100 using tens and ones Obj Recognize a number from a model of tens and ones to 100 FL MA.1.A Order counting numbers, compare their relative magnitudes, and represent numbers on a number line. FL MA.1.G.3 - Compose and decompose two-dimensional and three-dimensional geometric shapes. Topic 1 - Numbers and Obj Represent a 2-digit number as tens and ones Obj Determine the 2-digit number represented as tens and ones Obj Determine the value of a digit in a 2-digit number Obj. 9 - Identify a number to 20 represented by a point on a number line Obj Locate a number to 20 on a number line Page 2 of 110

7 Accelerated Math Grade 1 Florida, Math, 2007, First Grade, Accelerated Math Second Edition Grade 1 Next FL MA.1.G Use appropriate vocabulary to compare shapes according to attributes and properties such as number and lengths of sides, and number of vertices. Topic 3 - Geometry and Measurement Obj Determine the common attributes in a set of geometric shapes FL MA.1.G Compose and decompose plane and solid figures, including making predictions about them, to build an understanding of part-whole relationships and properties of shapes. FL MA.1.A.4 - Algebra FL MA.1.A Extend repeating and growing patterns, fill in missing terms, and justify reasoning. FL MA.1.G.5 - Geometry and Measurement FL MA.1.G Measure by using iterations of a unit and count the unit measures by grouping units. FL MA.1.G Compare and order objects according to descriptors of length, weight and capacity. FL MA.1.A.6 - Number and FL MA.1.A Use mathematical reasoning and beginning understanding of tens and ones, including the use of invented strategies, to solve two-digit addition and subtraction problems. Topic 1 - Numbers and Topic 2 - Algebraic Thinking Topic 3 - Geometry and Measurement Topic 1 - Numbers and Obj Determine the rule used to sort geometric shapes Obj Identify a shape divided into equal parts Obj Extend a repeating picture pattern Obj Extend a pictorial growth pattern Obj Determine a pattern on a 1 to 100 chart Obj Complete a pattern on a 1 to 100 chart Obj Compare objects using the vocabulary of measurement Obj Compare and order objects by attributes of height or length Obj Know basic addition facts to 10 plus 10 Obj Know basic subtraction facts to 20 minus 10 Obj WP: Use basic addition or subtraction facts to solve problems Page 3 of 110

8 Accelerated Math Grade 1 Florida, Math, 2007, First Grade, Accelerated Math Second Edition Grade 1 Next Obj Add multiples of 10, sums to 90 Obj Subtract multiples of 10 up to 90 Obj Subtract zero from any number less than 100 Obj Add a 2-digit and a 1-digit number without regrouping Obj Add two 2-digit numbers without regrouping Obj Subtract a 1-digit number from a 2-digit number without regrouping Obj Subtract a 2-digit number from a 2-digit number without FL MA.1.A Solve routine and Topic 1 - Numbers and non-routine problems by acting them out, using manipulatives, and drawing diagrams. regrouping Obj WP: Add or subtract a 1- and 2-digit number without regrouping Obj WP: Add or subtract two 2- digit numbers without regrouping Page 4 of 110

9 Accelerated Math Grade 2 Florida, Math, 2007, Second Grade, Next FL MA.2.A.1 - Develop an understanding of base-ten numerations system and place-value concepts. FL MA.2.A Identify relationships between the digits and their place values through the thousands, including counting by tens and hundreds. FL MA.2.A Identify and name numbers through thousands in terms of place value and apply this knowledge to expanded notation. Accelerated Math Second Edition Grade 2 Topic 1 - Number Sense and Topic 1 - Number Sense and Obj. 9 - Determine the value of a digit in a 3-digit number Obj Determine which digit is in a specified place in a 3-digit whole number Obj. 1 - Read a whole number to 1,000 Obj. 2 - Determine the word form of a whole number to 1,000 Obj Model a number using hundreds, tens, and ones to 1,000 Obj Recognize a number from a model of hundreds, tens, and ones to 1,000 Obj Represent a 3-digit number as hundreds, tens, and ones FL MA.2.A Compare and order multi-digit numbers through the thousands. FL MA.2.A.2 - Develop quick recall of addition facts and related subtraction facts and fluency with multi-digit addition and subtraction. FL MA.2.A Recall basic addition and related subtraction facts. Topic 1 - Number Sense and Obj Determine the 3-digit number represented as hundreds, tens, and ones Obj Compare whole numbers to 1,000 using words Obj Compare whole numbers to 1,000 using the symbols <, >, and = Obj Order whole numbers to 1,000 in ascending order Obj Order whole numbers to 1,000 in descending order Page 5 of 110

10 Accelerated Math Grade 2 Florida, Math, 2007, Second Grade, Accelerated Math Second Edition Grade 2 Next FL MA.2.A Add and subtract Topic 1 - Number Sense and multi-digit whole numbers through three digits with fluency by using a variety of strategies, including invented and standard algorithms and explanations of those procedures. Obj Determine a number pair that totals 100 Obj Determine a number pair that totals 1,000 Obj Add two 3-digit numbers without regrouping Obj Add two 2-digit numbers with regrouping, given a model Obj Add money values using cents or dollars with regrouping Obj Add a 2-digit number to a 1- digit number with regrouping Obj Add two 2-digit numbers with regrouping Obj Add three 2-digit numbers with one regrouping, sum less than 100 Obj Add 2- and 3-digit numbers with no more than one regrouping Obj Add two 3-digit numbers with one regrouping Obj Subtract a 3-digit number from a 3-digit number without regrouping Obj Subtract money values using cents or dollars with one regrouping Obj Subtract a 1- or 2-digit number from a 2-digit number with one regrouping Obj Subtract a 1- or 2-digit number from a 3-digit number with one regrouping Obj Subtract a 3-digit number from a 3-digit number with one regrouping Obj WP: Add or subtract numbers without regrouping Obj WP: Add or subtract up to 2- digit numbers with one regrouping FL MA.2.A Estimate solutions to multi-digit addition and subtraction problems, through three digits. Page 6 of 110 Topic 1 - Number Sense and Obj Estimate the sum of two 2- digit numbers

11 Accelerated Math Grade 2 Florida, Math, 2007, Second Grade, Accelerated Math Second Edition Grade 2 Next FL MA.2.A Solve addition and subtraction problems that involve measurement and geometry. FL MA.2.G.3 - Develop an understanding of linear measurement and facility in measuring lengths. Obj Estimate the difference of two 2-digit numbers FL MA.2.G Estimate and use standard units, including inches and centimeters, to partition and measure lengths of objects. Topic 3 - Geometry and Measurement FL MA.2.G Describe the inverse relationship between the size of a unit and number of units needed to measure a given object. FL MA.2.G Apply the Transitive Property when comparing lengths of objects. FL MA.2.G Estimate, select an Topic 3 - Geometry and appropriate tool, measure, and/or Measurement compute lengths to solve problems. FL MA.2.A.4 - Algebra FL MA.2.A Extend number patterns to build a foundation for understanding multiples and factors - for example, skip counting by 2's, 5's, 10's. Topic 1 - Number Sense and Obj Measure length in inches Obj Measure length in centimeters Obj Measure length in inches Obj Measure length in centimeters Obj. 3 - Complete a skip pattern starting from a multiple of 2, 5, or 10 Obj. 4 - Complete a skip pattern of 2, 5, or 10 starting from any number FL MA.2.A Classify numbers as odd or even and explain why. FL MA.2.A Generalize numeric and non-numeric patterns using words and tables. Page 7 of 110 Topic 2 - Algebraic Thinking Topic 2 - Algebraic Thinking Obj Extend a number pattern involving addition Obj Extend a number pattern involving subtraction Obj Extend a pattern given a table of related number pairs Obj Determine an addition or subtraction number pattern given a rule Obj Determine the rule for an addition or subtraction number pattern

12 Accelerated Math Grade 2 Florida, Math, 2007, Second Grade, Accelerated Math Second Edition Grade 2 Next FL MA.2.A Describe and apply equality to solve problems, such as in balancing situations. FL MA.2.A Recognize and state rules for functions that use addition and subtraction. FL MA.2.G.5 - Geometry and Measurement FL MA.2.G Use geometric models to demonstrate the relationships between wholes and their parts as a foundation to fractions. FL MA.2.G Identify time to the nearest hour and half hour. FL MA.2.G Identify, combine, and compare values of money in cents up to $1 and in dollars up to $100, working with a single unit of currency. FL MA.2.G Measure weight/mass and capacity/volume of objects. Include the use of the appropriate unit of measure and their abbreviations including cups, pints, quarts, gallons, ounces (oz), pounds (lbs), grams (g), kilograms (kg), milliliters (ml) and liters (L). FL MA.2.A.6 - Number and FL MA.2.A Solve problems that involve repeated addition. Topic 1 - Number Sense and Topic 1 - Number Sense and Topic 1 - Number Sense and Obj Identify a unit fraction as part of a whole Obj Identify a fraction as part of a whole Obj Relate a fraction equal to a whole to a pictorial model Obj Determine the value of a collection of bills and coins Obj Convert money amounts in words to amounts in symbols Obj Determine cent amounts that total a dollar Obj Determine the sum of equal groups using pictures Obj Use a repeated addition sentence to represent the sum of equal groups Page 8 of 110

13 Accelerated Math Grade 3 Florida, Math, 2007, Third Grade, Accelerated Math Second Edition Grade 3 Next FL MA.3.A.1 - Develop understandings of multiplication and division and strategies for basic multiplication facts and related division facts. FL MA.3.A Model multiplication and division including problems presented in context: repeated addition, multiplicative comparison, array, how many combinations, measurement, and partitioning. Topic 1 - Number Sense and Topic 1 - Number Sense and Obj Know basic multiplication facts to 10 x 10 Obj Know basic multiplication facts for 11 and 12 Obj Know basic division facts to Obj Know basic division facts for 11 and 12 Obj WP: Multiply using basic facts to 10 x 10 Obj WP: Divide using basic facts to Obj Use a multiplication sentence to represent an area or an array model FL MA.3.A Solve multiplication and division fact problems by using strategies that result from applying number properties. FL MA.3.A Identify, describe, and apply division and multiplication as inverse operations. Topic 1 - Number Sense and Obj Use a division sentence to represent objects divided into equal groups Obj Complete a multiplication and division fact family FL MA.3.A.2 - Develop an understanding of fractions and fraction equivalence. FL MA.3.A Represent fractions, including fractions greater than one, using area, set and linear models. Topic 2 - Algebraic Thinking Topic 1 - Number Sense and Obj Determine the missing multiplicand in a number sentence involving basic facts Obj Determine the missing dividend or divisor in a number sentence involving basic facts Obj Determine a pictorial model of a fraction of a whole Obj Determine a pictorial model of a fraction of a set of objects Page 9 of 110

14 Accelerated Math Grade 3 Florida, Math, 2007, Third Grade, Accelerated Math Second Edition Grade 3 Next FL MA.3.A Describe how the size of the fractional part is related to the number of equal sized pieces in the whole. FL MA.3.A Compare and order fractions, including fractions greater than one, using models and strategies. FL MA.3.A Use models to represent equivalent fractions, including fractions greater than 1, and identify representations of equivalence. FL MA.3.G.3 - Describe and analyze properties of two-dimensional shapes. FL MA.3.G Describe, analyze, compare and classify twodimensional shapes using sides and angles - including acute, obtuse, and right angles - and connect these ideas to the definition of shapes. FL MA.3.G Compose, decompose, and transform polygons to make other polygons, including concave and convex polygons with three, four, five, six, eight, or ten sides. Topic 1 - Number Sense and Topic 1 - Number Sense and Topic 3 - Geometry and Measurement Obj Identify a fraction represented by a point on a number line Obj Locate a fraction on a number line Obj Estimate fractions of a whole Obj Compare fractions using models Obj Order fractions using models Obj Compare fractions with like denominators Obj Compare fractions with like numerators Obj WP: Compare equal unit fractions of different-sized wholes Obj Identify equivalent fractions using models Obj Classify an angle as equal to 90, less than 90, or greater than 90 Obj Classify an angle in a shape as equal to 90, less than 90, or greater than 90 Obj Relate a model of a triangle or a quadrilateral to a list of attributes Page 10 of 110

15 Accelerated Math Grade 3 Florida, Math, 2007, Third Grade, Accelerated Math Second Edition Grade 3 Next FL MA.3.G Build, draw and analyze two-dimensional shapes from several orientations in order to examine and apply congruence and symmetry. FL MA.3.A.4 - Algebra FL MA.3.A Create, analyze, and represent patterns and relationships using words, variables, tables and graphs. FL MA.3.G.5 - Geometry and Measurement FL MA.3.G Select appropriate units, strategies and tools to solve problems involving perimeter. Topic 3 - Geometry and Measurement Topic 2 - Algebraic Thinking Topic 3 - Geometry and Measurement Obj Identify congruent shapes Obj Determine a rule for a table of related number pairs Obj WP: Find the missing number in a table of paired values Obj Determine a method for finding the perimeter of a shape given the side lengths FL MA.3.G Measure objects using fractional parts of linear units such as 1/2, 1/4 and 1/10. FL MA.3.G Tell time to the nearest minute and to the nearest quarter hour, and determine the amount of time elapsed. Topic 3 - Geometry and Measurement Topic 3 - Geometry and Measurement Obj WP: Determine the perimeter of a rectangular shape given a grid with a reference unit Obj WP: Determine the perimeter of a shape given a model showing all side lengths Obj Measure length to the nearest half inch or quarter inch Obj Tell time to the minute Obj Calculate elapsed time within an hour, given two clocks, without regrouping Obj Calculate elapsed time within an hour, given two clocks, with regrouping Obj WP: Calculate elapsed time within an hour given two clocks Obj WP: Calculate elapsed time within an hour Obj WP: Determine the end time given the start time and the elapsed time within an hour Obj WP: Determine the start time given the end time on a clock and the elapsed time within an hour Page 11 of 110

16 Accelerated Math Grade 3 Florida, Math, 2007, Third Grade, Accelerated Math Second Edition Grade 3 Next FL MA.3.A.6 - Number and FL MA.3.A Represent, compute, Topic 1 - Number Sense and estimate and solve problems using numbers through hundred thousands. Obj WP: Determine the start time given the end time and the elapsed time within an hour Obj. 1 - Read a 4- or 5-digit whole number Obj. 2 - Determine the word form of a 4- or 5-digit whole number Obj. 5 - Represent a 4-digit whole number as thousands, hundreds, tens, and ones Obj. 6 - Determine the 4-digit whole number represented in thousands, hundreds, tens, and ones Obj. 7 - Represent a 4- or 5-digit whole number in expanded form Obj. 8 - Determine the 4- or 5-digit whole number represented in expanded form Obj Add 3- and 4-digit whole numbers with regrouping Obj Add three 2- to 3-digit whole numbers Obj Subtract 3- and 4-digit whole numbers with regrouping Obj WP: Add or subtract 3- and 4-digit whole numbers with regrouping Obj Estimate a sum or difference of whole numbers to 10,000 by rounding Obj Estimate a sum or difference of two 3- or 4-digit whole numbers using front-end estimation Obj Estimate a sum or difference of 2- to 4-digit whole numbers using any method Obj Estimate a sum of three 2- to 4-digit numbers using any method FL MA.3.A Solve non-routine problems by making a table, chart, or list and searching for patterns. FL MA.3.S.7 - Data Analysis Page 12 of 110 Obj WP: Estimate a sum or difference of two 3- or 4-digit whole numbers using any method

17 Accelerated Math Grade 3 Florida, Math, 2007, Third Grade, Accelerated Math Second Edition Grade 3 Next FL MA.3.S Construct and analyze frequency tables, bar graphs, pictographs, and line plots from data, including data collected through observations, surveys, and experiments. Topic 4 - Data Analysis, Statistics, and Probability Obj Use a bar graph with a scale interval of 5 or 10 to represent data Obj Answer a question using information from a bar graph with a scale interval of 5 or 10 Obj Read a line plot Obj Use a line plot to represent data Obj Answer a question using information from a line plot Obj Use a frequency table to represent data Obj Answer a question using information from a frequency table Page 13 of 110

18 Accelerated Math Grade 4 Florida, Math, 2007, Fourth Grade, Next Accelerated Math Second Edition Grade 4 FL MA.4.A.1 - Develop quick recall of multiplication facts and related division facts and fluency with whole number multiplication. FL MA.4.A Use and describe various models for multiplication in problem-solving situations, and demonstrate recall of basic multiplication and related division facts with ease. FL MA.4.A Multiply multi-digit Topic 1 - Number Sense and whole numbers through four digits fluently, demonstrating understanding of the standard algorithm, and checking for reasonableness of results, including solving real-world problems. Obj Multiply a 1- or 2-digit whole number by a multiple of 10, 100, or 1,000 Obj Multiply a 3- or 4-digit whole number by a 1-digit whole number Obj Multiply a 2-digit whole number by a 2-digit whole number Obj Multiply a 3-digit whole number by a 2-digit whole number Obj Multiply three 1- and 2-digit whole numbers Obj WP: Multiply a multi-digit whole number by a 1-digit whole number Obj WP: Multiply a 2-digit whole number by a 2-digit whole number Obj WP: Multiply a 3-digit whole number by a 2-digit whole number FL MA.4.A.2 - Develop an understanding of decimals, including the connection between fractions and decimals. FL MA.4.A Use decimals through the thousandths place to name numbers between whole numbers. FL MA.4.A Describe decimals as an extension of the base-ten number system. Page 14 of 110 Topic 1 - Number Sense and Obj Read a decimal number through the hundredths place Obj Determine the word form of a decimal number through the hundredths place

19 Accelerated Math Grade 4 Florida, Math, 2007, Fourth Grade, Accelerated Math Second Edition Grade 4 Next FL MA.4.A Relate equivalent fractions and decimals with and without models, including locations on a number line. FL MA.4.A Compare and order decimals, and estimate fraction and decimal amounts in real-world problems. Topic 1 - Number Sense and Topic 1 - Number Sense and Obj Identify a mixed number represented by a model Obj Identify a mixed number represented by a point on a number line Obj Locate a mixed number on a number line Obj Identify an improper fraction represented by a model of a mixed number Obj Identify an improper fraction represented by a point on a number line Obj Locate an improper fraction on a number line Obj Determine the decimal number from a pictorial model of tenths or hundredths Obj Identify a pictorial model of tenths or hundredths of a decimal number Obj Identify a decimal number to tenths represented by a point on a number line Obj Locate a decimal number to tenths on a number line Obj Determine the decimal number equivalent to a fraction with a denominator of 10 or 100 Obj Determine a fraction equivalent to a decimal, using a denominator of 10 or 100 Obj Determine the decimal number equivalent to a fraction model Obj Determine the fraction equivalent to a decimal number model Obj Compare fractions on a number line Obj Order fractions on a number line Obj Compare decimal numbers through the hundredths place Page 15 of 110 Obj Order decimal numbers through the hundredths place

20 Accelerated Math Grade 4 Florida, Math, 2007, Fourth Grade, Accelerated Math Second Edition Grade 4 Next Obj Round a decimal number to a specified place through hundredths FL MA.4.G.3 - Develop an understanding of area and determine the area of two-dimensional shapes. FL MA.4.G Describe and determine area as the number of same-sized units that cover a region in the plane, recognizing that a unit square is the standard unit for measuring area. FL MA.4.G Justify the formula for the area of the rectangle "area = base x height." Topic 3 - Geometry and Measurement Topic 3 - Geometry and Measurement Obj Determine the area of a polygon on a grid Obj Determine the area of a rectangle given a picture showing the length and width Obj Determine the area of a rectangle given the length and width FL MA.4.G Select and use appropriate units, both customary and metric, strategies, and measuring tools to estimate and solve real-world area problems. FL MA.4.A.4 - Algebra FL MA.4.A Generate algebraic rules and use all four operations to describe patterns, including nonnumeric growing or repeating patterns. FL MA.4.A Describe mathematics relationships using expressions, equations, and visual representations. FL MA.4.A Recognize and write algebraic expressions for functions with two operations. FL MA.4.G.5 - Geometry and Measurement FL MA.4.G Classify angles of two-dimensional shapes using benchmark angles (45, 90, 180, and 360 ). Topic 3 - Geometry and Measurement Topic 2 - Algebra Topic 3 - Geometry and Measurement Obj WP: Determine the area of a rectangle Obj WP: Determine the area of a rectangle Obj Estimate the area of an irregular polygon on a grid Obj Determine a rule that relates two variables Obj Classify an angle given a picture Obj Classify an angle given its measure Page 16 of 110

21 Accelerated Math Grade 4 Florida, Math, 2007, Fourth Grade, Accelerated Math Second Edition Grade 4 Next FL MA.4.G Identify and describe the results of translations, reflections, and rotations of 45, 90, 180, 270, and 360 degrees, including figures with line and rotational symmetry. Topic 3 - Geometry and Measurement Obj Associate degrees with a turn on a circle FL MA.4.G Identify and build a three-dimensional object from a twodimensional representation of that object and vice versa. FL MA.4.A.6 - Number and FL MA.4.A Use and represent numbers through millions in various contexts, including estimation of relative sizes of amounts or distances. FL MA.4.A Use models to represent division as: FL MA.4.A.6.2.a - Use models to represent division as: the inverse of multiplication FL MA.4.A.6.2.b - Use models to represent division as: as partitioning Topic 1 - Number Sense and Obj Determine lines of symmetry Obj Determine the result of a flip, a turn, or a slide Obj. 1 - Read a 6-digit whole number Obj. 2 - Determine the word form of a 6-digit whole number Obj. 5 - Determine the whole number represented in expanded form written in powers of ten Obj. 6 - Represent a 6-digit whole number in expanded form using powers of ten Obj Round a 4- to 6-digit whole number to a specified place FL MA.4.A.6.2.c - Use models to represent division as: as successive subtraction FL MA.4.A Generate equivalent fractions and simplify fractions. FL MA.4.A Determine factors and multiples for specified whole numbers. Topic 1 - Number Sense and Obj Simplify a fraction Obj Determine a set of equivalent fractions Page 17 of 110

22 Accelerated Math Grade 4 Florida, Math, 2007, Fourth Grade, Accelerated Math Second Edition Grade 4 Next FL MA.4.A Relate halves, fourths, tenths, and hundredths to decimals and percents. FL MA.4.A Estimate and describe reasonableness of estimates; determine the appropriateness of an estimate versus an exact answer. Topic 1 - Number Sense and Obj Estimate a product of whole numbers by rounding Obj Estimate a product of whole numbers using any method Obj WP: Estimate a product of two whole numbers using any method Page 18 of 110

23 Accelerated Math Grade 5 Florida, Math, 2007, Fifth Grade, Next Accelerated Math Second Edition Grade 5 FL MA.5.A.1 - Develop an understanding of and fluency with division of whole numbers. FL MA.5.A Describe the process of finding quotients involving multi-digit dividends using models, place value, properties and the relationship of division to multiplication. FL MA.5.A Estimate quotients Topic 1 - Number Sense and or calculate them mentally depending on the context and numbers involved. Obj Estimate a quotient using compatible numbers FL MA.5.A Interpret solutions to division situations including those with remainders depending on the context of the problem. FL MA.5.A Divide multi-digit whole numbers fluently, including solving real-world problems, demonstrating understanding of the standard algorithm and checking the reasonableness of results. Page 19 of 110 Topic 1 - Number Sense and Topic 1 - Number Sense and Obj Estimate a quotient using any method Obj WP: Estimate a quotient using any method Obj WP: Divide a whole number and interpret the remainder Obj Divide a multi-digit whole number by multiples of 100 or 1,000 Obj Divide a multi-digit whole number by a 1-digit number, with no remainder and at least one zero in the quotient Obj Divide a multi-digit whole number by a 1-digit number, with a remainder and at least one zero in the quotient Obj Divide a multi-digit whole number by a 1-digit number and express the quotient as a mixed number Obj Divide a multi-digit whole number by a 1-digit number and express the quotient as a decimal Obj Divide a multi-digit whole number by a 2-digit whole number, with no remainder and no zeros in the quotient Obj Divide a multi-digit whole number by a 2-digit whole number, with a remainder and no zeros in the quotient

24 Accelerated Math Grade 5 Florida, Math, 2007, Fifth Grade, Accelerated Math Second Edition Grade 5 Next FL MA.5.A.2 - Develop an understanding of and fluency with addition and subtraction of fractions and decimals. FL MA.5.A Represent addition and subtraction of decimals and fractions with like and unlike denominators using models, place value or properties. FL MA.5.A Add and subtract fractions and decimals fluently and verify the reasonableness of results, including in problem situations. Topic 1 - Number Sense and Obj Divide a multi-digit whole number by a 2-digit whole number, with no remainder and at least one zero in the quotient Obj Divide a multi-digit whole number by a 2-digit whole number, with a remainder and at least one zero in the quotient Obj Divide a multi-digit whole number by a 2-digit whole number and express the quotient as a mixed number Obj WP: Divide a whole number, with no remainder Obj WP: Divide a whole number and interpret the remainder Obj Add fractions with like denominators greater than 10 and simplify the sum Page 20 of 110 Obj Add fractions with unlike denominators using a model and do not simplify the sum Obj Add fractions with unlike denominators and do not simplify the sum Obj Add fractions with unlike denominators that have factors in common and simplify the sum Obj Add fractions with unlike denominators that have no factors in common Obj Subtract fractions with like denominators greater than 10 and simplify the difference Obj Subtract fractions with unlike denominators using a model and do not simplify the difference Obj Subtract fractions with unlike denominators and do not simplify the difference

25 Accelerated Math Grade 5 Florida, Math, 2007, Fifth Grade, Accelerated Math Second Edition Grade 5 Next Obj Subtract fractions with unlike denominators that have factors in common and simplify the difference Obj Subtract fractions with unlike denominators that have no factors in common Obj WP: Add or subtract fractions with like denominators and simplify the sum or difference Obj WP: Add or subtract fractions with unlike denominators that have no factors in common Obj Add mixed numbers with like denominators and simplify the sum Obj Add mixed numbers with unlike denominators and simplify the sum Obj Subtract mixed numbers with like denominators and simplify the difference Obj Subtract mixed numbers with unlike denominators and simplify the difference Obj WP: Add or subtract mixed numbers with like denominators and simplify the sum or difference Obj WP: Add or subtract mixed numbers with unlike denominators that have no factors in common Obj Add two decimal numbers of differing places to thousandths Obj Add three or more decimal numbers Obj Add decimal numbers and whole numbers Obj Subtract two decimal numbers of differing places to thousandths Obj Subtract a decimal number from a whole number or a whole number from a decimal number Obj WP: Add or subtract decimal numbers through thousandths Page 21 of 110

26 Accelerated Math Grade 5 Florida, Math, 2007, Fifth Grade, Accelerated Math Second Edition Grade 5 Next Obj WP: Add or subtract a decimal number through thousandths FL MA.5.A Make reasonable estimates of fraction and decimal sums and differences, and use techniques for rounding. FL MA.5.A Determine the prime factorization of numbers. FL MA.5.G.3 - Describe threedimensional shapes and analyze their properties, including volume and surface area. FL MA.5.G Analyze and compare the properties of twodimensional figures and threedimensional solids (polyhedra), including the number of edges, faces, vertices, and types of faces. FL MA.5.G Describe, define and determine surface area and volume of prisms by using appropriate units and selecting strategies and tools. Topic 1 - Number Sense and Topic 1 - Number Sense and Topic 3 - Geometry and Measurement Topic 3 - Geometry and Measurement and a whole number Obj Round a fraction to a benchmark number of 0, 1/2, or 1 Obj Estimate a fraction sum using benchmark numbers 0, 1/2, and 1 Obj Estimate a fraction difference using benchmark numbers 0, 1/2, and 1 Obj WP: Estimate a fraction sum or difference using benchmark numbers 0, 1/2, and 1 Obj Round a decimal number to a specified decimal place to thousandths Obj Estimate the sum of two decimal numbers through thousandths and less than 1 by rounding to a specified place Obj Estimate the difference of two decimal numbers through thousandths and less than 1 by rounding to a specified place Obj WP: Estimate the sum or difference of two decimal numbers through thousandths using any method Obj. 4 - Determine the prime factorization of a number to 50 Obj Determine the number of faces, edges, and vertices in a 3- dimensional shape Obj Determine the volume of a rectangular prism given a diagram Page 22 of 110 Obj WP: Determine the volume of a rectangular prism given a diagram

27 Accelerated Math Grade 5 Florida, Math, 2007, Fifth Grade, Accelerated Math Second Edition Grade 5 Next FL MA.5.A.4 - Algebra FL MA.5.A Use the properties of equality to solve numerical and real world situations. FL MA.5.A Construct and describe a graph showing continuous data, such as a graph of a quantity that changes over time. Obj Determine the volume of a rectangular prism Obj WP: Determine the volume of a rectangular prism Obj Determine the volume of an object composed of rectangular prisms by counting units Obj Determine the surface area of a cube or a rectangular prism given a net Obj Determine the surface area of a rectangular prism Obj WP: Find the surface area of a rectangular prism FL MA.5.G.5 - Geometry and Measurement FL MA.5.G Identify and plot ordered pairs on the first quadrant of the coordinate plane. Topic 2 - Algebra Topic 3 - Geometry and Measurement Obj Use a first quadrant graph to represent the values from a table generated in context Obj Determine the location of an ordered pair in the first quadrant FL MA.5.G Compare, contrast, Topic 3 - Geometry and and convert units of measure within Measurement the same dimension (length, mass, or time) to solve problems. Obj Determine the ordered pair of a point in the first quadrant Obj Convert between customary units of length using fractional amounts Obj Convert between customary units of weight using fractional amounts Obj Convert between metric units of mass using decimal amounts Obj Convert between millimeters or centimeters and meters, or meters and kilometers using decimal amounts Page 23 of 110

28 Accelerated Math Grade 5 Florida, Math, 2007, Fifth Grade, Accelerated Math Second Edition Grade 5 Next Obj WP: Compare customary units of length, weight, or capacity using fractional amounts FL MA.5.G Solve problems requiring attention to approximation, selection of appropriate measuring tools, and precision of measurement. FL MA.5.G Derive and apply formulas for areas of parallelograms, triangles, and trapezoids from the area of a rectangle. Topic 3 - Geometry and Measurement Topic 3 - Geometry and Measurement Obj WP: Compare metric units of length, mass, or capacity using decimal amounts Obj Measure an angle to the nearest 5 degrees Obj Use a formula to determine the area of a triangle Obj Determine the area of a complex figure divided into basic shapes Obj Use a formula to determine the area of a parallelogram FL MA.5.A.6 - Number and FL MA.5.A Identify and relate prime and composite numbers, factors and multiples within the context of fractions. FL MA.5.A Use the order of operations to simplify expressions which include exponents and parentheses. FL MA.5.A Describe real-world situations using positive and negative numbers. Page 24 of 110 Topic 1 - Number Sense and Topic 1 - Number Sense and Obj WP: Determine the area of a triangle Obj WP: Determine the area of a square or rectangle Obj. 1 - Determine if a number to 50 is prime or composite Obj. 2 - Determine a complete list of whole number factor pairs for a number to 50 Obj. 3 - Determine all the factors of a whole number to 50 Obj. 7 - Determine the multiple(s) of a number Obj Evaluate a numerical expression involving three operations, with no parentheses, using order of operations Obj Evaluate a numerical expression involving three operations, with parentheses, using order of operations

29 Accelerated Math Grade 5 Florida, Math, 2007, Fifth Grade, Accelerated Math Second Edition Grade 5 Next FL MA.5.A Compare, order, and graph integers, including integers shown on a number line. FL MA.5.A Solve non-routine problems using various strategies including "solving a simpler problem" and "guess, check, and revise." FL MA.5.S.7 - Data Analysis FL MA.5.S Construct and analyze line graphs and double bar graphs. FL MA.5.S Differentiate between continuous and discrete data and determine ways to represent those using graphs and diagrams. Topic 4 - Data Analysis, Statistics, and Probability Obj Answer a question using information from a line graph that does not start at zero or has a broken vertical scale Obj WP: Extend a line graph to solve a problem Obj Read a double- or stackedbar graph Obj Use a double- or stackedbar graph to represent data Obj Answer a question using information from a double- or stackedbar graph Page 25 of 110

30 Accelerated Math Grade 6 Florida, Math, 2007, Sixth Grade, Next Accelerated Math Basic Math FL MA.6.A.1 - Develop an understanding of and fluency with multiplication and division of fractions and decimals. FL MA.6.A Explain and justify procedures for multiplying and dividing fractions and decimals. FL MA.6.A Multiply and divide fractions and decimals efficiently. Topic 6 - Decimals: Multiply and Divide Topic 9 - Fractions: Multiply and Divide Obj Multiply decimals Obj Multiply money expressions by whole #s Obj WP: Multiply decimals Obj Divide decimals Obj Divide whole #s by decimals Obj Multiply & divide decimals by a power of 10 Obj Divide money expressions by whole #s Obj WP: Divide decimals Obj Multiply fractions Obj Multiply mixed #s by fractions Obj Multiply mixed #s Obj Multiply fractions by whole #s Obj Multiply three fractions Obj WP: Multiply fractions & mixed #s Obj Divide fractions Obj Divide mixed #s by fractions Obj Divide mixed #s Obj Divide whole #s & fractions FL MA.6.A Solve real-world problems involving multiplication and division of fractions and decimals. Topic 6 - Decimals: Multiply and Divide Obj WP: Divide fractions & mixed #s Obj Multiply decimals Obj Multiply money expressions by whole #s Obj WP: Multiply decimals Obj Divide decimals Obj Divide whole #s by decimals Page 26 of 110

31 Accelerated Math Grade 6 Florida, Math, 2007, Sixth Grade, Accelerated Math Basic Math Next Obj Multiply & divide decimals by a power of 10 Obj Divide money expressions by whole #s Topic 9 - Fractions: Multiply and Divide Obj WP: Divide decimals Obj Multiply fractions Obj Multiply mixed #s by fractions Obj Multiply mixed #s Obj Multiply fractions by whole #s Obj Multiply three fractions Obj WP: Multiply fractions & mixed #s Obj Divide fractions Obj Divide mixed #s by fractions Obj Divide mixed #s Obj Divide whole #s & fractions FL MA.6.A.2 - Connect ratio and rates to multiplication and division. FL MA.6.A Use reasoning about Topic 12 - Percents, Ratios, and multiplication and division to solve Proportions ratio and rate problems. FL MA.6.A Interpret and compare ratios and rates. FL MA.6.G.3 - Write, interpret, and use mathematical expressions and equations. FL MA.6.A Write and evaluate mathematical expressions that correspond to given situations. FL MA.6.A Write, solve, and graph one- and two- step linear equations and inequalities. FL MA.6.A Works backward with two-step function rules to undo expressions. FL MA.6.A Solve problems given a formula. Obj WP: Divide fractions & mixed #s Obj Ratios as fractions, lowest terms Obj Ratios as rates, lowest terms Obj Equivalent ratios Obj Unit rates Page 27 of 110

32 Accelerated Math Grade 6 Florida, Math, 2007, Sixth Grade, Accelerated Math Basic Math Next FL MA.6.A Apply the Commutative, Associative, and Distributive Properties to show that two expressions are equivalent. FL MA.6.A Construct and analyze tables, graphs and equations to describe linear functions and other simple relations using both common language and algebraic notation. FL MA.6.G.4 - Geometry and Measurement FL MA.6.G Understand the concept of Pi, know common estimates of Pi (3.14; 22/7) and use these values to estimate and calculate the circumference and the area of circles. FL MA.6.G Find the perimeters and areas of composite twodimensional figures, including nonrectangular figures (such as semicircles) using various strategies. Topic 14 - Measurement: Length and Area FL MA.6.G Determine a missing Topic 14 - Measurement: Length dimension of a plane figure or prism, and Area given its area or volume and some of the dimensions, or determine the area or volume given the dimensions. Obj Circumference of circles Obj Area of circles Obj Area of rectangles FL MA.6.A.5 - Number and FL MA.6.A Use equivalent forms of fractions, decimals, and percents to solve problems. Page 28 of 110 Topic 15 - Volume, Capacity, and Temperature Topic 7 - Rename and Simplify Fractions Topic 10 - Decimals and Fractions Obj WP: Perimeter & area of rectangles Obj Area of parallelograms Obj Area of triangles Obj Area of trapezoids Obj Volume of rectangular solids Obj Equivalent fractions, given denominator Obj Equivalent fractions Obj Mixed #s to improper fractions Obj Improper fractions to mixed #s Obj Decimals to fractions Obj Decimals to mixed #s

33 Accelerated Math Grade 6 Florida, Math, 2007, Sixth Grade, Accelerated Math Basic Math Next Obj Fractions to decimals Obj Mixed #s to decimals Obj WP: Decimal & fractional FL MA.6.A Compare and order fractions, decimals, and percents, including finding their approximate location on a number line. Topic 11 - Fractions, Percents, and Decimals Topic 4 - Introduction to Decimals equivalents Obj Decimal to percents Obj Percents to decimals Obj Mixed # percents to decimals Obj WP: Decimal & percent equivalents Obj Percents to fractions Obj Fractions to percents Obj WP: Fractional & percent equivalents Obj Compare decimals FL MA.6.A Estimate the results of computations with fractions, decimals, and percents and judge the reasonableness of the results. Topic 7 - Rename and Simplify Fractions Obj Graph fractions on number lines Obj Order fractions FL MA.6.S.6 - Data Analysis FL MA.6.S Determine the measures of central tendency (mean, median, and mode) and variability (range) for a given set of data. Topic 13 - Statistics, Graphs, and Probability Obj Averages (means) of data sets FL MA.6.S Select and analyze the measures of central tendency or variability to represent, describe, analyze and/or summarize a data set for the purposes of answering questions appropriately. Obj Medians of data sets Obj Modes of data sets Obj Ranges of data sets Page 29 of 110

34 Accelerated Math Grade 6 Florida, Math, 2007, Sixth Grade, Next FL MA.6.A.1 - Develop an understanding of and fluency with multiplication and division of fractions and decimals. FL MA.6.A Explain and justify procedures for multiplying and dividing fractions and decimals. FL MA.6.A Multiply and divide fractions and decimals efficiently. Accelerated Math Second Edition Grade 6 Topic 1 - Number Sense and Topic 1 - Number Sense and Obj Relate division by a decimal fraction power of ten to multiplication by the related whole number power of ten Obj Multiply a fraction by a fraction Obj Multiply a mixed number by a whole number Obj Multiply a mixed number by a fraction Obj Multiply a mixed number by a mixed number Obj Divide a fraction by a whole number resulting in a fractional quotient Obj Divide a fraction by a fraction Obj Divide a whole number by a fraction resulting in a fractional quotient Obj Divide a mixed number by a fraction Obj Divide a mixed number by a mixed number Obj WP: Multiply or divide a fraction by a fraction Obj WP: Multiply or divide two mixed numbers or a mixed number and a fraction Obj Multiply a decimal number through thousandths by a whole number Obj WP: Multiply a decimal number through thousandths by a whole number Obj WP: Multiply a money expression by a decimal number Obj Multiply a decimal number greater than one, in tenths, by a decimal number in tenths Obj Multiply decimal numbers to thousandths using basic facts Page 30 of 110 Obj Multiply decimal numbers less than one in hundredths or thousandths

35 Accelerated Math Grade 6 Florida, Math, 2007, Sixth Grade, Accelerated Math Second Edition Grade 6 Next Obj Multiply a decimal number greater than one by a decimal number to thousandths that has only 1 nonzero digit Obj Multiply decimal numbers greater than one where the product has 2 or 3 decimal places Obj WP: Multiply two decimal numbers to thousandths Obj Divide a decimal number by 10, 100, or 1,000 Obj Divide a decimal number through thousandths by a 1- or 2-digit whole number where the quotient has 2-5 decimal places Obj WP: Divide a decimal number through thousandths by a 1- or 2-digit whole number Obj Divide a whole number or a decimal number by 0.1, 0.01, or Obj Locate the decimal point in the quotient of a whole number, or a decimal number, divided by a decimal number Obj Divide a 1- to 3-digit whole number by a decimal number to tenths where the quotient is a whole number Obj Divide a 1- to 3-digit whole number by a decimal number to tenths where the quotient is a decimal number to thousandths Obj Divide a 2- or 3-digit whole number by a decimal number to hundredths or thousandths, rounded quotient if needed Obj Divide a decimal number by a decimal number through thousandths, rounded quotient if needed Obj WP: Divide a whole number by a decimal number through thousandths, rounded quotient if needed Page 31 of 110