#### MA.A: Number Sense, Concepts, and Operations

MA.A.1.2: The student understands the different ways numbers are represented and used in the real world.

MA.A.1.2.1: The student names whole numbers combining three-digit numeration (hundreds, tens, ones) and the use of number periods, such as ones, thousands, and millions and associates verbal names, written word names, and standard numerals with whole numbers, commonly used fractions, decimals, and percents.

MA.A.1.2.1.2: reads, writes, and identifies fractions and mixed numbers with denominators including 2, 3, 4, 5, 6, 8, 10, 12, 20, 25, 100, and 1000.

MA.A.1.2.1.3: reads, writes, and identifies decimals through hundredths.

MA.A.1.2.2: The student understands the relative size of whole numbers, commonly used fractions, decimals, and percents.

MA.A.1.2.2.1: uses language and symbols (> , < , =) to compare numbers in the same form and in two different forms such as _ < 1.

MA.A.1.2.2.2: compares and orders whole numbers through millions or more, using concrete materials, number lines, drawings, and numerals.

MA.A.1.2.2.3: compares and orders commonly used fractions and decimals to hundredths using concrete materials, drawings, and numerals.

MA.A.1.2.2.4: locates whole numbers, fractions, mixed numbers, and decimals on a number line.

MA.A.1.2.4: The student understands that numbers can be represented in a variety of equivalent forms using whole numbers, decimals, fractions, and percents.

MA.A.1.2.4.1: uses concrete materials to model equivalent forms of whole numbers, fractions, and decimals.

MA.A.2.2: The student understands number systems.

MA.A.2.2.1: The student uses place-value concepts of grouping based upon powers of ten (thousandths, hundredths, tenths, ones, tens, hundreds, thousands) within the decimal number system.

MA.A.2.2.1.1: knows the value of a given digit in numbers from hundredths to millions, including writing and interpreting expanded forms of numbers.

MA.A.2.2.2: The student recognizes and compares the decimal number system to the structure of other number systems such as the Roman numeral system or bases other than ten.

MA.A.2.2.2.1: uses concrete materials and symbolic notation to represent numbers in bases other than base ten, such as base five.

MA.A.2.2.2.2: reads, writes, and compares the decimal number system to the Roman numeral system using the Roman numerals I, V, X, L, C, D, and M.

MA.A.3.2: The student understands the effects of operations on numbers and the relationships among these operations, selects appropriate operations, and computes for problem solving.

MA.A.3.2.1: The student understands and explains the effects of addition, subtraction, and multiplication on whole numbers, decimals, and fractions, including mixed numbers, and the effects of division on whole numbers, including the inverse relationship of multiplication and division.

MA.A.3.2.1.1: recalls (from memory) basic multiplication facts and related division facts.

MA.A.3.2.1.2: knows the inverse relationship of multiplication and division and demonstrates that relationship by writing related fact families.

MA.A.3.2.1.4: explains and demonstrates the addition and subtraction of common fractions using concrete materials, drawings, story problems, and algorithms.

MA.A.3.2.1.5: explains and demonstrates the addition and subtraction of decimals (to hundredths) using concrete materials, drawings, story problems, and algorithms.

MA.A.3.2.1.6: knows the properties of numbers including the following:

MA.A.3.2.1.6.b: the zero and identity properties of multiplication

MA.A.3.2.1.6.c: the commutative, associative, and distributive properties of multiplication.

MA.A.3.2.1.7: predicts the relative size of solutions in the following:

MA.A.3.2.1.7.b: addition and subtraction of common fractions

MA.A.3.2.1.7.c: addition and subtraction of decimals to hundredths

MA.A.3.2.2: The student selects the appropriate operation to solve specific problems involving addition, subtraction, and multiplication of whole numbers, decimals, and fractions, and division of whole numbers.

MA.A.3.2.2.1: uses problem-solving strategies to determine the operation(s) needed to solve one-and two- step problems involving addition, subtraction, multiplication, and division of whole numbers, and addition and subtraction of decimals and fractions.

MA.A.3.2.3: The student adds, subtracts, and multiplies whole numbers, decimals, and fractions, including mixed numbers, and divides whole numbers to solve real-world problems, using appropriate methods of computing, such as mental mathematics, paper and pencil, and calculator.

MA.A.3.2.3.5: solves real-world problems involving the addition or subtraction of decimals (to hundredths) or common fractions with like or unlike denominators.

MA.A.4.2: The student uses estimation in problem solving and computation.

MA.A.4.2.1: The student uses and justifies different estimation strategies in a real-world problem situation and determines the reasonableness of results of calculations in a given problem situation.

MA.A.4.2.1.1: chooses, describes and explains estimation strategies used to determine the reasonableness of solutions to real-world problems.

MA.A.5.2: The student understands and applies theories related to numbers.

MA.A.5.2.1: The student understands and applies basic number theory concepts, including primes, composites, factors, and multiples.

MA.A.5.2.1.1: knows factors and multiples of numbers to 100.

MA.A.5.2.1.2: multiplies by 10, 100, and 1,000 recognizing and demonstrating patterns.

#### MA.B: Measurement

MA.B.1.2: The student measures quantities in the real world and uses the measures to solve problems.

MA.B.1.2.1: The student uses concrete and graphic models to develop procedures for solving problems related to measurement including length, weight, time, temperature, perimeter, area, volume, and angle.

MA.B.1.2.1.2: uses a wide variety of models (for example, manipulatives, diagrams) and applies counting procedures to investigate measurements of length, area, volume, and perimeter.

MA.B.1.2.2: The student solves real-world problems involving length, weight, perimeter, area, capacity, volume, time, temperature, and angles.

MA.B.1.2.2.2: solves real-world problems involving perimeter, area, and volume using concrete, graphic, or pictorial models.

MA.B.3.2: The student estimates measurements in real-world problem situations.

MA.B.3.2.1: The student solves real-world problems involving estimates of measurements, including length, time, weight, temperature, money, perimeter, area, and volume.

MA.B.3.2.1.1: knows how to determine whether an accurate or estimated measurement is needed for a solution.

MA.B.3.2.1.2: using real-world settings, objects, graph paper, or charts, solves problems involving estimated measurements, including the following:

MA.B.3.2.1.2.a: length to nearest half-inch, centimeter

MA.B.3.2.1.3: knows how to estimate the area and perimeter of regular and irregular polygons using graph paper, geoboard, or other objects.

MA.B.3.2.1.4: knows how to estimate the volume of a rectangular prism using manipulatives or graphic representation.

#### MA.C: Geometry and Spatial Sense

MA.C.2.2: The student visualizes and illustrates ways in which shapes can be combined, subdivided, and changed.

MA.C.2.2.1: The student understands the concepts of spatial relationships, symmetry, reflections, congruency, and similarity

MA.C.2.2.1.2: knows symmetry, congruency, and reflections in geometric figures using drawings and concrete materials (for example, pattern blocks, mirrors).

MA.C.2.2.2: The student predicts, illustrates, and verifies which figures could result from a flip, slide, or turn of a given figure.

MA.C.2.2.2.1: identifies and performs flips, slides, and turns given angle (90 degrees, 180 degrees) and direction (clockwise or counterclockwise) of turn, using concrete and graphic materials (for example, pattern blocks, geoboards, grid paper).

MA.C.2.2.2.2: knows the effect of a flip, slide, or turn (90 degrees, 180 degrees) on a geometric figure.

MA.C.3.2: The student uses coordinate geometry to locate objects in both two and three dimensions and to describe objects algebraically.

MA.C.3.2.1: The student represents and applies a variety of strategies and geometric properties and formulas for two- and three-dimensional shapes to solve real-world and mathematical problems.

MA.C.3.2.1.1: compares the concepts of area and perimeter using concrete materials (for example, color tiles, grid paper) and real-world situations (for example, carpeting a floor, fencing a yard).

MA.C.3.2.1.2: applies the concepts of area and perimeter to solve real-world and mathematical problems.

MA.C.3.2.1.3: knows how area and perimeter are affected when geometric figures are combined.

MA.C.3.2.2: The student identifies and plots positive ordered pairs (whole numbers) in a rectangular coordinate system (graph).

MA.C.3.2.2.1: knows how to identify, locate, and plot ordered pairs of whole numbers on a graph or on the first quadrant of a coordinate system.

#### MA.D: Algebraic Thinking

MA.D.1.2: The student describes, analyzes, and generalizes a wide variety of patterns, relations, and functions.

MA.D.1.2.1: The student describes a wide variety of patterns and relationships through models, such as manipulatives, tables, graphs, rules using algebraic symbols.

MA.D.1.2.1.1: describes, extends, and creates numerical and geometric patterns using a variety of models (for example, lists, tables, charts).

MA.D.1.2.1.2: poses, solves, and explains problems by identifying a predictable visual or numerical pattern.

MA.D.1.2.2: The student generalizes a pattern, relation, or function to explain how a change in one quantity results in a change in another.

MA.D.1.2.2.1: knows mathematical relationships in patterns (for example, the second shape is the first shape turned 90 degrees).

MA.D.1.2.2.2: analyzes number patterns and states rules for relationships (for example, 2, 4, 7, 9, 12, ; the rule is: + 2, + 3, + 2, + 3,).

MA.D.1.2.2.3: discusses, explains, and analyzes the rule that applies to the pattern.

MA.D.1.2.2.4: applies the appropriate rule to complete a table or a chart.

MA.D.2.2: The student uses expressions, equations, inequalities, graphs, and formulas to represent and interpret situations.

MA.D.2.2.2: The student uses informal methods, such as physical models and graphs, to solve real-world problems involving equations and inequalities.

MA.D.2.2.2.2: uses information from physical models, graphs, or tables to solve problems.

#### MA.E: Data Analysis and Probability

MA.E.1.2: The student understands and uses the tools of data analysis for managing information.

MA.E.1.2.1: The student solves problems by generating, collecting, organizing, displaying, and analyzing data using histograms, bar graphs, circle graphs, line graphs, pictographs, and charts.

MA.E.1.2.1.3: interprets and compares information from different types of graphs including graphs from content-area materials and periodicals.

MA.E.1.2.1.4: generates questions, collects responses, and displays data on a pictograph, circle graph, bar, double bar, or line graph.

MA.E.1.2.1.5: interprets and completes circle graphs using common fractions.

MA.E.1.2.1.6: analyzes and explains orally or in writing the implications of data displays.

MA.E.1.2.2: The student determines range, mean, median, and mode from sets of data.

MA.E.1.2.2.1: identifies the mean, median and mode from a set of data.

MA.E.1.2.2.2: identifies the range on a line graph.

MA.E.1.2.3: The student analyzes real-world data to recognize patterns and relationships of the measures of central tendency using tables, charts, histograms, bar graphs, line graphs, pictographs, and circle graphs generated by appropriate technology, including calculators and computers.

MA.E.1.2.3.1: uses a calculator to determine the range and mean of a set of data.

MA.E.1.2.3.2: uses computer applications to examine and evaluate data.

MA.E.2.2: The student identifies patterns and makes predictions from an orderly display of data using concepts of probability and statistics.

MA.E.2.2.1: The student uses models, such as tree diagrams, to display possible outcomes and to predict events.

MA.E.2.2.1.2: represents all possible outcomes for a simple probability situation or event using models such as organized lists, charts, or tree diagrams.

MA.E.2.2.1.3: calculates the probability of a particular event occurring from a set of all possible outcomes.

MA.E.2.2.2: The student predicts the likelihood of simple events occurring.

MA.E.2.2.2.2: determines and predicts which outcomes are likely to occur and expresses those expected outcomes as fractions.

MA.E.2.2.2.3: conducts experiments to test predictions.

MA.E.3.2: The student uses statistical methods to make inferences and valid arguments about real-world situations.

MA.E.3.2.1: The student designs experiments to answer class or personal questions, collects information, and interprets the results using statistics (range, mean, median, and mode) and pictographs, charts, bar graphs, circle graphs, and line graphs.

MA.E.3.2.1.1: designs a class survey to collect data.

MA.E.3.2.1.2: creates an appropriate graph to display data (for example, pictographs, bar graphs, line graphs, circle graphs).

MA.E.3.2.1.3: determines appropriate statistical measures for data (range, mean, median, mode).

MA.E.3.2.1.4: explains the results using statistics (range and measures of central tendency).

Correlation last revised: 6/20/2014

This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below for more information.