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Florida Math Standards - 6th Grade
MathScore aligns to the Florida Math Standards for 6th Grade. The standards appear below along with the MathScore topics that match. If you click on a topic name, you will see sample problems at varying degrees of difficulty that MathScore generated. When students use our program, the difficulty of the problems will automatically adapt based on individual performance, resulting in not only true differentiated instruction, but a challenging game-like experience.
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Number Sense, Concepts, and Operations
Benchmark MA.A.1.3.1: The student associates verbal names, written word names, and standard numerals with integers, fractions, decimals; numbers expressed as percents; numbers with exponents; numbers in scientific notation; radicals; absolute value; and ratios.
1. Knows word names and standard numerals for whole numbers, fractions, decimals (through hundred-thousandths), and percents. (Place Value , Decimal Place Value )
2. Reads and writes whole numbers and decimals in expanded form. (Place Value , Decimal Place Value )
Benchmark MA.A.1.3.2: The student understands the relative size of integers, fractions, and decimals; numbers expressed as percents; numbers with exponents; numbers in scientific notation; radicals; absolute value; and ratios.
1. Compares and orders fractions and decimals using graphic models, number lines, and symbols. (Order Decimals , Compare Mixed Values , Fraction Comparison , Compare Decimals )
2. Compares and orders fractions, decimals, and common percents. (Order Decimals , Compare Mixed Values )
Benchmark MA.A.1.3.3: The student understands concrete and symbolic representations of rational numbers and irrational numbers in real-world situations.
1. Knows examples of positive rational numbers in real-world situations.
2. Describes the meanings of positive rational numbers using part/whole relationships and relative size comparisons in real-world situations.
3. Constructs models to represent positive rational numbers.
Benchmark MA.A.1.3.4: The student understands that numbers can be represented in a variety of equivalent forms, including integers, fractions, decimals, percents, scientific notation, exponents, radicals, and absolute value.
1. Knows the relationships among fractions, decimals, and percents.
2. Expresses a given quantity in a variety of ways, such as fractions, decimals, or numbers expressed as percents.
3. Knows whether numbers expressed in different forms are equal. (Compare Mixed Values , Compare Mixed Values 2 , Positive Number Line , Number Line )
4. Converts a number expressed in one form to its equivalent in another form. (Fractions to Decimals , Decimals To Fractions , Percentages )
Benchmark MA.A.2.3.1: The student understands and uses exponential and scientific notation.
1. Knows the meaning and use of exponential notation (for example 23=2X2X2=8). (Exponent Basics )
2. Expresses whole numbers in exponential notation or in factored form. (Prime Factoring 2 , Exponent Basics )
3. Evaluates numerical expressions that contain exponential notation. (Exponent Basics )
Benchmark MA.A.2.3.2: The student understands the structure of number systems other than the decimal number system.
1. Compares the decimal number system to systems that do not use place value (for example, Roman numeral, ancient Egyptian).
Benchmark MA.A.3.3.1: The student understands and explains the effects of addition, subtraction, multiplication, and division on whole numbers, fractions, including mixed numbers, and decimals, including the inverse relationships of positive and negative numbers.
1. Knows the effects of the four basic operations on whole numbers, fractions, mixed numbers, and decimals. (Multiplication By One Digit , Long Multiplication , Long Division By One Digit , Long Division , Division with Remainders , Long Division with Remainders , Small Decimal Division , Fraction Addition , Fraction Subtraction , Fraction Multiplication , Fraction Division , Decimal Addition , Decimal Subtraction , Decimal Multiplication , Decimal Division , Integer Addition , Integer Subtraction , Positive Integer Subtraction , Integer Multiplication , Integer Division )
2. Uses models or pictures to show the effects of addition, subtraction, multiplication, and division, on whole numbers, decimals, fractions, and mixed numbers.
3. Knows and applies the commutative, associative, and distributive properties in the addition and multiplication of rational numbers. (Associative Property 1 , Associative Property 2 , Commutative Property 1 , Commutative Property 2 , Distributive Property , Distributive Property 2 , Basic Distributive Property )
4. Uses concrete models and real-world examples to explore the inverse relationship of positive and negative numbers. (Integer Equivalence )
Benchmark MA.A.3.3.2: The student selects the appropriate operation to solve problems involving addition, subtraction, multiplication, and division of rational numbers, ratios, proportions, and percents, including the appropriate application of the algebraic order of operations.
1. Knows the appropriate operations to solve real-world problems involving whole numbers, decimals, and fractions. (Arithmetic Word Problems , Making Change , Unit Cost , Fraction Word Problems , Fraction Word Problems 2 )
2. Solves real-world problems involving whole numbers, fractions, decimals, and common percents using one or two-step problems. (Arithmetic Word Problems , Making Change , Unit Cost , Fraction Word Problems , Fraction Word Problems 2 , Percentage Change , Percent of Quantity )
3. Applies order of operations when solving problems (parentheses, multiplication, division, addition, and subtraction). (Using Parentheses , Order Of Operations )
4. Knows proportional relationships and describes such relationships in words, tables, or graphs.
Benchmark MA.A.3.3.3: The student adds, subtracts, multiplies, and divides whole numbers, decimals, and fractions, including mixed numbers, to solve real-world problems, using appropriate methods of computing, such as mental mathematics, paper and pencil, and calculator.
1. Solves one- or two-step real-world problems involving whole numbers and decimals using appropriate methods of computation (for example, mental computation, paper and pencil, and calculator). (Arithmetic Word Problems , Basic Word Problems 2 , Making Change , Making Change 2 , Unit Cost )
2. Justifies the choice of method for calculations, such as mental computation, concrete materials, algorithms, or calculators.
Benchmark MA.A.4.3.1: The student uses estimation strategies to predict results and to check the reasonableness of results.
1. Knows an appropriate estimation technique for a given situation using whole numbers (for example, clustering, compatible number, front-end). (Rounding Large Numbers , Decimal Rounding to .01 , Decimal Rounding )
2. Estimates to predict results and to check reasonableness of results. (Estimated Addition , Estimated Subtraction , Estimated Multiplication , Estimated Division , Estimated Multiply Divide Word Problems )
3. Determines whether an exact answer is needed or an estimate would be sufficient. (Estimated Multiply Divide Word Problems )
Benchmark MA.A.5.3.1: The student uses concepts about numbers, including primes, factors, and multiples, to build number sequences.
1. Knows if numbers (less than or equal to 100) are prime or composite. (Prime Numbers )
2. Finds the greatest common factor and least common multiple of two or more numbers. (Greatest Common Factor , Least Common Multiple )
3. Determines the prime factorization of a number less than or equal to 100. (Prime Factoring )
4. Uses divisibility rules. (Divisibility Rules )
Measurement
Benchmark MA.B.1.3.1: The student uses concrete and graphic models to derive formulas for finding perimeter, area, surface area, circumference, and volume of two- and three-dimensional shapes, including rectangular solids and cylinders.
1. Uses concrete and graphic models to create formulas for finding the perimeter and area of plane figures and the volume of rectangular solids.
2. Uses concrete and graphic models to discover an approximation for π and creates a formula for finding circumference.
Benchmark MA.B.1.3.2: The student uses concrete and graphic models to derive formulas for finding rates, distance, time, and angle measures.
1. Identifies a protractor as a tool for measuring angles and measures angles using a protractor.
2. Identifies and names angles according to their measure (including acute, right, obtuse, straight).
3. Classifies triangles according to the measurement of their angles and according to the length of their sides. (Triangle Types )
4. Determines the measure of a missing angle using angle relationships. (Angle Measurements )
Benchmark MA.B.1.3.3: The student understands and describes how the change of a figure in such dimensions as length, width, height, or radius affects its other measurements such as perimeter, area, surface area, and volume.
1. Given a two-dimensional figure, creates a new figure by increasing or decreasing the original dimensions.
2. Knows the relationship between the area or perimeter of an original figure and that of a newly created figure. (Area And Volume Proportions )
3. Solves real-world or mathematical problems involving perimeter or area and how these are affected by changes in the dimensions of the figure. (Compare Rectangle Area and Perimeter , Area And Volume Proportions )
Benchmark MA.B.1.3.4: The student constructs, interprets, and uses scale drawings such as those based on number lines and maps to solve real-world problems.
1. Knows proportional relationships in scale drawings. (Proportions 2 )
2. Uses scale drawings to solve real-world problems including distance (as in map reading).
Benchmark MA.B.2.3.1: The student uses direct (measured) and indirect (not measured) measures to compare a given characteristic in either metric or customary units.
1. Compares objects according to their length, weight or mass, and capacity using customary or metric units.
2. Measures length, weight or mass, and capacity using appropriate measuring instruments. (Requires outside materials )
Benchmark MA.B.2.3.2: The student solves problems involving units of measure and converts answers to a larger or smaller unit within either the metric or customary system.
1. Changes one customary or metric unit of measurement to another within the same system. (Distance Conversion , Time Conversion , Volume Conversion , Weight Conversion )
2. Uses concrete manipulatives or constructs models of square units (such as square inch and square meter) for measuring area and cubic units (such as cubic centimeter or cubic yard) for measuring volume.
Benchmark MA.B.3.3.1: The student solves real-world and mathematical problems involving estimates of measurements including length, time, weight/mass, temperature, money, perimeter, area, and volume, in either customary or metric units.
1. Estimates the measure (length, weight or mass, and capacity) of an object or figure and then compares the estimate with the actual measurement of the object or figure.
2. Knows whether an exact answer is needed or an estimate is sufficient. (Estimated Multiply Divide Word Problems )
3. Estimates solutions to real-world problems by estimating the length, volume or capacity, weight or mass, perimeter, or area of objects or shapes in either customary or metric units.
4. Estimates solutions to real-world problems involving measurement, including estimates of time, temperature and money.
Benchmark MA.B.4.3.1: The student selects appropriate units of measurement and determines and applies significant digits in a real-world context. (Significant digits should relate to both instrument precision and to the least precise unit of measurement).
1. Selects the appropriate unit of measure for a given real-world situation. (Perimeter and Area Word Problems )
2. Knows the approximate nature of measurement and measures to the specified degree of accuracy (for example, nearest centimeter or sixteenth of an inch).
Benchmark MA.B.4.3.2: The student selects and uses appropriate instruments, technology, and techniques to measure quantities in order to achieve specified degrees of accuracy in a problem situation.
1. Selects an appropriate measurement tool (for example, scales, rulers, thermometers, measuring cups, protractors, gauges).
2. Determines the interval of a scale and reads the scales on a variety of measuring instruments.
3. Measures accurately with the measurement tools.
Geometry and Spatial Sense
Benchmark MA.C.1.3.1: The student understands the basic properties of, and relationships pertaining to, regular and irregular geometric shapes in two- and three-dimensions.
1. Identifies, draws, and uses symbolic notation to denote the attributes of two-dimensional geometric figures (including points, parallel and perpendicular lines, planes, rays, and parts of a circle).
2. Knows and draws angles (including acute, obtuse, right, and straight).
3. Analyzes relationships among two-dimensional geometric figures (for example, the diagonal of a rectangle divides the rectangle into two congruent triangles each having one half the area of the rectangle).
4. Uses appropriate measuring devices (including ruler and protractor) as needed in analysis of figures.
5. Knows the attributes of and draws three-dimensional figures (including rectangular solids and cylinders).
6. Knows the properties of two- and three-dimensional figures. (Triangle Angles , Quadrilateral Angles )
Benchmark MA.C.2.3.1: The student understands the geometric concepts of symmetry, reflections, congruency, similarity, perpendicularity, parallelism, and transformations, including flips, slides, turns, and enlargements.
1. Uses manipulatives and drawings to solve problems requiring spatial visualization.
2. Describes and applies the property of symmetry in figures.
3. Recognizes and draws congruent and similar figures. (Congruent And Similar Triangles )
4. Identifies and performs the various transformations (reflection, translation, rotation) of a given figure on a coordinate plane.
Benchmark MA.C.2.3.2: The student predicts and verifies patterns involving tessellations (a covering of a plane with congruent copies of the same pattern with no holes and no overlaps, like floor tiles).
1. Constructs tiling patterns to cover a plane.
2. Identifies a tessellation.
3. Identifies geometric shapes that can be tessellated.
4. Tessellates using translation and other desired transformations.
Benchmark MA.C.3.3.1: The student represents and applies geometric properties and relationships to solve real-world and mathematical problems.
1. Observes, explains, and makes conjectures regarding geometric properties and relationships (among angles, triangles, squares, rectangles, parallelograms).
2. Applies known geometric properties (for example, symmetry, congruence) to solve real-world and mathematical problems. (Congruent And Similar Triangles )
Benchmark MA.C.3.3.2: The student identifies and plots ordered pairs in all four quadrants of a rectangular coordinate system (graph) and applies simple properties of lines.
1. Identifies the x and y axes in a coordinate plane and identifies the coordinates of a given point in the first quadrant.
2. Plots specific points in the first quadrant of the Cartesian coordinate system.
Algebraic Thinking
Benchmark MA.D.1.3.1: The student describes a wide variety of patterns, relationships, and functions through models, such as manipulatives, tables, graphs, expressions, equations, and inequalities.
1. Describes, predicts, and creates numerical and geometric patterns through models (for example, manipulatives, tables, graphs). (Function Tables , Function Tables 2 )
2. States in words a rule for a pattern.
3. Predicts outcomes based on patterns.
4. Finds patterns in real-world situations.
5. Describes relationships and patterns using words, tables, symbols, variables, expressions, or equations. (Function Tables , Function Tables 2 )
6. Given initial terms in a pattern, supplies a specific missing term in the pattern (for example, given first four terms, supplies sixth term). (Patterns: Numbers , Patterns: Shapes )
Benchmark MA.D.1.3.2: The student creates and interprets tables, graphs, equations, and verbal descriptions to explain cause-and-effect relationships.
1. Interprets and creates function tables and graphs (first quadrant).
2. Substitutes values for variables in expressions and describes the results or patterns observed. (Linear Equations )
3. Graphs (first quadrant) functions from function tables to explain cause-and-effect relationships.
Benchmark MA.D.2.3.1: The student represents and solves real-world problems graphically, with algebraic expressions, equations, and inequalities.
1. Uses variables to represent numbers and relationships. (Algebraic Word Problems )
2. Translates verbal expressions into algebraic expressions. (Phrases to Algebraic Expressions , Algebraic Sentences )
3. Translates simple algebraic expressions, equations or formulas representing real-world relationships into verbal expressions or sentences.
4. Uses pictures, models, manipulatives or other strategies to solve simple one-step linear equations with rational solutions. (Single Variable Equations )
Benchmark MA.D.2.3.2: The student uses algebraic problem-solving strategies to solve real- world problems involving linear equations and inequalities.
1. Knows how to solve simple equations representing real-world situations, using pictures, models, manipulatives (such as algebra tiles), or other strategies.
2. Uses concrete materials to solve equations and inequalities and explains reasoning orally or in writing. (Requires outside materials )
Data Analysis and Probability
Benchmark MA.E.1.3.1: The student collects, organizes, and displays data in a variety of forms, including tables, line graphs, charts, bar graphs, to determine how different ways of presenting data can lead to different interpretations.
1. Reads and analyzes data displayed in a variety of forms (charts, pictographs, stem-and-leaf plots). (Stem And Leaf Plots , Tally and Pictographs , Bar Graphs , Line Graphs )
2. Generates and collects data for analysis.
3. Chooses appropriate titles, scales, labels, keys, and intervals for displaying data in graphs.
4. Constructs, interprets, and explains displays of data, such as tables and graphs (single- and multiple-bar graphs and single- and multiple- line graphs). (Bar Graphs , Line Graphs )
Benchmark MA.E.1.3.2: The student understands and applies the concepts of range and central tendency (mean, median, and mode).
1. Organizes items in a set of data.
2. Finds the range, mean, median, and mode of a set of data. (Mean, Median, Mode )
3. Describes real-world data by applying and explaining appropriate procedures for finding measures of central tendency.
Benchmark MA.E.1.3.3: The student analyzes real-world data by applying appropriate formulas for measures of central tendency and organizing data in a quality display, using appropriate technology, including calculators and computers.
1. Describes a set of data by using the measures of central tendency.
2. Uses technology, such as graphing calculators and computer spreadsheets, to create graphs.
Benchmark MA.E.2.3.1: The student compares experimental results with mathematical expectations of probabilities.
1. Determines all possible outcomes of an event using a tree diagram or organized list.
2. Calculates simple mathematical probabilities. (Probability )
3. Uses manipulatives to obtain experimental results, compares results to mathematical expectations, and discusses the validity of the experiment.
Benchmark MA.E.2.3.2: The student determines odds for and odds against a given situation.
1. Examines and describes situations that include finding the odds for and against a specified outcome. (Probability , Probability 2 )
Benchmark MA.E.3.3.1: The student formulates hypotheses, designs experiments, collects and interprets data, and evaluates hypotheses by making inferences and drawing conclusions based on statistics (range, mean, median, and mode) and tables, graphs, and charts.
1. With classmates, formulates hypotheses based on research and prior data, designs an appropriate experiment, collects and analyses data using appropriate statistics, and displays and interprets results in appropriate tables or graphs.
Benchmark MA.E.3.3.2: The student identifies the common uses and misuses of probability or statistical analysis in the everyday world.
1. Explores uses and misuses of statistics in real-world situations such as advertisements and polls.
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