MathScore EduFighter is one of the best math games on the Internet today. You can start playing for free!
Florida Math Standards - 7th Grade
MathScore aligns to the Florida Math Standards for 7th 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.
Want unlimited math worksheets? Learn more about our online math practice software.
View the Florida Math Standards at other levels.
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 integers, fractions, decimals, ratios, numbers expressed as percents, numbers with exponents, numbers expressed in scientific notation, and numbers expressed using the square root radical. (Decimal Place Value )
2. Reads and writes whole numbers and decimals in expanded form, including exponential notation. (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 integers, fractions, decimals, numbers with exponents, and numbers expressed as percents or in scientific notation, including ordering on a number line. (Order Decimals , Compare Mixed Values , Compare Mixed Values 2 , Compare Integers )
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 rational and irrational numbers in real-world situations, including the irrational numbers π and √2.
2. Describes the meanings of rational and irrational numbers using physical or graphical displays.
3. Constructs models to represent 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. (Percentages )
2. Expresses a given quantity in a variety of ways (for example, integers, fractions, decimals, numbers expressed as a percent, numbers expressed in scientific notation, ratios). (Ratios )
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 , Scientific Notation )
Benchmark MA.A.2.3.1: The student understands and uses exponential and scientific notation.
1. Expresses whole numbers in exponential notation (for example, 36 = 62). (Prime Factoring 2 , Exponent Basics )
2. Evaluates numerical expressions that contain exponential notation. (Scientific Notation 2 , Exponent Basics )
3. Expresses numbers greater than one in scientific notation. (Scientific Notation )
4. Expresses numbers in scientific notation as numbers in standard form. (Scientific Notation )
Benchmark MA.A.2.3.2: The student understands the structure of number systems other than the decimal number system.
1. Applies knowledge of the decimal number system and of non-place-value systems.
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. (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, mixed numbers, and integers.
3. Applies the properties of rational numbers to solve problems (commutative, associative, distributive, identity, equality, inverse). (Associative Property 1 , Associative Property 2 , Commutative Property 1 , Commutative Property 2 , Distributive Property , Distributive Property 2 )
4. Knows 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 operation to solve real-world problems involving fractions, decimals, and integers. (Making Change , Unit Cost , Fraction Word Problems , Fraction Word Problems 2 , Integers In Word Problems )
2. Solves real-world problems involving decimals and fractions using two- or three-step problems.
3. Solves real-world problems involving percents (for example, discounts, simple interest, taxes, tips). (Percentage Change , Purchases At Stores , Restaurant Bills , Commissions , Percent of Quantity , Simple Interest )
4. Applies order of operations to solve problems (parentheses, exponents, multiplication, division, addition, and subtraction). (Using Parentheses , Order Of Operations )
5. Knows proportional relationships and uses tables, graphs, or "constant ratio" relationships to solve and explain problems. (Proportions 1 )
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 multi-step real-world problems involving whole numbers, fractions or decimals using appropriate methods of computation, such as mental computation, paper and pencil, and calculator. (Arithmetic Word Problems , Fraction Word Problems , Fraction Word Problems 2 )
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, fractions and decimals. (Rounding Large Numbers , Decimal Rounding to .01 , Decimal Rounding )
2. Estimates to predict results and 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 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 composite number. (Prime Factoring )
4. Applies number theory concepts to determine the terms in a sequence.
5. Applies number theory concepts, including divisibility rules, to solve real-world or mathematical problems. (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 or graphic models to create formulas for finding volumes of solids (prisms and cylinders).
2. Uses concrete or graphic models to create formulas for finding surface area of prisms and cylinders.
3. Solves and explains problems involving perimeter, area, and circumference. (Triangle Area , Triangle Area 2 , Parallelogram Area , Perimeter , Circle Area , Circle Circumference , Trapezoids )
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. Finds the measure of an angle by measuring with a protractor or applying angle relationships (for example, corresponding, complementary, supplementary, interior, exterior). (Identifying Angles , Polygon Angles )
2. Develops and uses the distance formula in solving real-world problems (d = rt). (Distance, Rate, and Time )
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- or three-dimensional figure, creates a new figure by increasing or decreasing the original dimensions.
2. Knows the relationships between the perimeters, areas, surface areas, or volumes of the original figure and those of the newly created figure. (Area And Volume Proportions )
3. Solves real world or mathematical problems involving perimeter, area, circumference, surface area and volume and how these are affected by changes in the dimensions of the figures. (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 an appropriate scale needed to produce a proportional drawing or model.
2. Knows proportional relationships used in scale drawings. (Proportions 2 )
3. Produces a scale drawing.
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. Measures length, weight or mass, and capacity or volume using customary or metric units.
2. Knows relationships between metric units of mass and capacity (for example, one cubic centimeter of water weighs one gram).
3. Finds measures of length, weight or mass, and capacity or volume using proportional relationships and properties of similar geometric figures (for example, using shadow measurement and properties of similar triangles to find the height of a flag pole). (Proportions 2 )
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. Compares units of measurement within a system (metric or customary).
2. Performs operations on measurements within either the metric or customary system (for example, finds three times 27 inches and expresses the answer in yards).
3. Selects the appropriate unit of measurement when solving real-world problems (for example linear, square, and cubic units). (Perimeter and Area Word Problems )
4. Solves problems using the metric or customary system involving conversions within the same system. (Distance Conversion , Time Conversion , Volume Conversion , Weight Conversion , Area and Volume Conversions )
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. Knows whether an exact answer is needed or if an estimate is sufficient. (Estimated Multiply Divide Word Problems )
2. 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 and metric units.
3. 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 appropriate units of measurement in a real-world context. (Perimeter and Area Word Problems )
2. Knows that measurements are always approximate and that the degree of accuracy of a measurement depends upon the precision of the instrument.
3. Knows the precision of different measuring instruments.
4. Determines the appropriate precision unit for a given situation.
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 a measurement tool (for example, scales, rulers, thermometers, measuring cups, protractors, gauges) appropriate to a given situation.
2. Measures accurately with the measurement tools to the specified degree of accuracy for the task and in keeping with the precision of the measurement tool.
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 basic properties of geometric terms including lines (intersecting, skew, parallel, perpendicular) and congruent figures.
2. Determines the measure of various types of angles using a protractor or angle relationships (including complementary, supplementary, and vertical angles). (Angle Measurements )
3. Compares and describes the attributes of regular and irregular polygons (for example, parallelogram, trapezoid, pentagon, hexagon).
4. Identifies and classifies triangles and quadrilaterals. (Triangle Types , Quadrilateral Types )
5. Knows the attributes of and draws three-dimensional figures (pyramid, cone, sphere, hemisphere).
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 properties of parallelism, perpendicularity and symmetry in real- world contexts.
3. Recognizes, draws, and describes congruent and similar figures. (Congruent And Similar Triangles )
4. Creates and describes the attributes of a figure either congruent or similar to a given figure.
5. 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. Predicts and verifies whether a given shape or shapes will tessellate.
2. Given a simple tessellated pattern, determines the shape(s) and transformation(s).
3. Tessellates using reflection, translation, or rotation and any desired combinations.
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, lines, regular and irregular polygons).
2. Creates and solves angle measurement problems for triangles. (Triangle Angles , Triangle Angles 2 , Solving For Angles )
3. Demonstrates the Pythagorean relationship in right triangles using models or diagrams (for example, manipulatives, dot, graph, or isometric paper).
4. Given two sides of a right triangle, uses the Pythagorean Theorem to find the length of the third side. (Pythagorean Theorem )
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 each quadrant and the characteristics of points in each quadrant (positive and negative).
2. Identifies and plots ordered pairs in all four quadrants of the coordinate system. (Ordered Pairs )
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. Uses manipulatives and graphic materials to generate tables and charts (for example, input, output) to develop algebraic expressions, equations, or formulas.
2. Given instances of a pattern, expresses a generalization of the pattern using algebraic expressions. (Function Tables , Function Tables 2 )
3. Given an algebraic expression of a relationship or pattern, supplies specific instances of the relationship or pattern.
4. Predicts outcomes based on a generalization of a pattern or relationship.
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 tables, function tables, and graphs (all four quadrants).
2. Writes expressions and equations to describe relationships. (Graphs to Linear Equations , Graphs to Linear Equations 2 , Graphs to Linear Inequalities )
3. Graphs equations 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. Translates verbal expressions and sentences into algebraic expressions and equations. (Phrases to Algebraic Expressions , Algebraic Sentences 2 , Algebraic Sentences )
2. Translates algebraic expressions, equations, or formulas representing real-world relationships into verbal expressions or sentences.
3. Given an algebraic equation or expression of a real-world application, substitutes integral values for variables and simplifies the results. (Simple Interest , Compound Interest , Distance, Rate, and Time )
4. Uses pictures, models, manipulatives or other strategies to solve one-step and simple multi- step linear equations. (Single Variable Equations , Single Variable Equations 2 )
5. Graphs solutions to equations and inequalities on a number line. (Number Line Inequalities )
6. Graphs linear equations on the coordinate plane from a table of values.
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 linear equations and inequalities representing real-world situations, using pictures, models, manipulatives (such as algebra tiles), or other strategies. (Single Variable Inequalities )
2. Simplifies algebraic expressions with one variable. (Simplifying Algebraic Expressions )
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. Generates and collects data for analysis.
2. Interprets and analyzes data presented in a variety of forms, including box-and-whisker graphs and scatter plots.
3. Constructs, interprets, and explains displays of data, such as tables and graphs (circle graphs, single- and multiple- bar graphs, and single and multiple-line graphs) and explains how different displays of data lead to different interpretations. (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. Finds the range, mean, median, and mode of data from a table, chart, or graph. (Mean, Median, Mode )
2. Draws conclusions from an analysis of range and central tendency of a set of real-world data.
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. Applies and analyzes appropriate measures of central tendency (mode, mean, median, range) for a set of data.
2. Uses technology, such as graphing calculators and computer spreadsheets, to analyze data and create graphs.
Benchmark MA.E.2.3.1: The student compares experimental results with mathematical expectations of probabilities.
1. Obtains experimental results using manipulatives.
2. Explains observed difference between mathematical and experimental results.
3. Calculates simple mathematical probabilities for independent and dependent events. (Probability , Probability 2 , Object Picking Probability )
Benchmark MA.E.2.3.2: The student determines odds for and odds against a given situation.
1. Computes the mathematical odds for and against a specified outcome in given real-world experiments. (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. Formulates a hypothesis and designs an experiment.
2. Performs the experiment and collects, organizes, and displays the data.
3. Evaluates the hypothesis by making inferences and drawing conclusions based on statistical results.
Benchmark MA.E.3.3.2: The student identifies the common uses and misuses of probability or statistical analysis in the everyday world.
1. Knows appropriate uses of statistics and probability in real-world situations. (Batting Averages )
2. Knows when statistics and probability are used in misleading ways.
Learn more about our online math practice software.
|
"MathScore works."
- John Cradler, Educational Technology Expert |
