#### 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.1.2.1.1: reads, writes, and identifies whole numbers, fractions, and mixed numbers.

MA.A.1.2.1.2: reads, writes, and identifies decimals through thousandths.

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 symbols (> , < , =) to compare numbers in the same and different forms such as 0.5 < 3/ 4.

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

MA.A.1.2.2.3: compares and orders commonly used fractions, percents, and decimals to thousandths using concrete materials, number lines, drawings, and numerals.

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

MA.A.1.2.3: The student understands concrete and symbolic representations of whole numbers, fractions, decimals, and percents in real-world situations.

MA.A.1.2.3.1: translates problem situations into diagrams, models, and numerals using whole numbers, fractions, mixed numbers, decimals, and percents.

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 that place value relates to powers of 10.

MA.A.2.2.1.2: expresses numbers to millions or more in expanded form using powers of ten, with or without exponential notation.

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: explains the similarities and differences between the decimal (base 10) number system and other number systems that do or do not use place value.

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.3.2.1.2: explains and demonstrates the multiplication of decimals to hundredths using concrete materials, drawings, story problems, symbols, and algorithms.

MA.A.3.2.1.3: predicts the relative size of solutions in the following:

MA.A.3.2.1.3.a: addition, subtraction, multiplication, and division of whole numbers

MA.A.3.2.1.3.b: addition, subtraction, and multiplication of fractions, decimals, and mixed numbers, with particular attention given to fraction and decimal multiplication (for example, when two numbers less than one are multiplied, the result is a number less than either factor)

MA.A.3.2.1.4: explains and demonstrates the inverse nature of multiplication and division, with particular attention to multiplication by a fraction (for example, multiplying by _ yields the same result as dividing by 4).

MA.A.3.2.1.5: explains and demonstrates the commutative, associative, and distributive properties of multiplication.

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, subtraction, and multiplication 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.3.2.3.1: solves real-world problems involving addition, subtraction, multiplication, and division of whole numbers, and addition, subtraction, and multiplication of decimals, fractions, and mixed numbers using an appropriate method (for example, mental math, pencil and paper, calculator).

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.4.2.1.2: estimates quantities of objects to 1000 or more and justifies and explains the reasoning for the estimate (for example, using benchmark numbers, unitizing).

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: finds factors of numbers to 100 to determine if they are prime or composite.

MA.A.5.2.1.2: expresses a whole number as a product of its prime factors.

#### 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: extends conceptual experiences into patterns to develop formulas for determining perimeter, area, and volume.

MA.B.1.2.1.5: investigates measures of circumference using concrete materials (for example, uses string or measuring tape to measure the circumference of cans or bottles).

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

MA.B.1.2.2.1: solves real-world problems involving measurement of the following:

MA.B.1.2.2.1.a: length (for example, eighth-inch, kilometer, mile)

MA.B.1.2.2.2: solves real-world problems involving perimeter, area, capacity, 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: solves real-world problems involving estimated measurements, including the following:

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

MA.B.3.2.1.2.c: time to nearest one-minute interval

MA.B.3.2.1.2.d: temperature to nearest five-degree interval

MA.B.3.2.1.2.e: money to nearest \$1.00

MA.B.3.2.1.3: knows how to estimate the area and perimeter of regular and irregular polygons.

MA.B.3.2.1.4: knows how to estimate the volume of a rectangular prism.

#### 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.

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, 270 degrees) and direction (clockwise or counterclockwise) of turn.

MA.C.2.2.2.2: knows the effect of a flip, slide or turn (90 degrees, 180 degrees, 270 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, perimeter, and volume using concrete materials (for example, geoboards, grid paper) and real-world situations (for example, tiling a floor, bordering a room, packing a box).

MA.C.3.2.1.2: applies the concepts of area, perimeter, and volume to solve real-world and mathematical problems using student-developed formulas.

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, creates, predicts, and generalizes numerical and geometric patterns using a variety of models (for example, lists, tables, graphs, charts, diagrams, calendar math).

MA.D.1.2.1.2: poses and solves problems by identifying a predictable visual or numerical pattern such as: Day: 1 2 3 4 ... n Number of Calls 4 7 10 ? ?

MA.D.1.2.1.3: explains and expresses numerical relationships and pattern generalizations, using algebraic symbols (for example, in the problem above, the number of calls on the n th day can be expressed as 3 n + 1).

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, Fibonacci numbers: 1, 1, 2, 3, 5, 8,).

MA.D.1.2.2.2: analyzes and generalizes number patterns and states the rule for relationships (for example, 1, 4, 9, 16, ; the rule: + 3, + 5, + 7, ; or squares of the whole numbers).

MA.D.1.2.2.3: 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 concrete or pictorial models or graphs 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.1.2.1.1: knows which types of graphs are appropriate for different kinds of data (for example, bar graphs, line, or circle graphs).

MA.E.1.2.1.2: interprets and compares information from different types of graphs including graphs from content-area materials and periodicals.

MA.E.1.2.1.3: chooses reasonable titles, labels, scales and intervals for organizing data on graphs.

MA.E.1.2.1.4: generates questions, collects responses, and displays data on a graph.

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

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

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

MA.E.1.2.2.1: uses a stem-and-leaf plot from a set of data to identify the range, median, mean, and mode.

MA.E.1.2.2.2: uses range and measures of central tendency in real-world situations.

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.1.2.3.4: uses computer-generated spreadsheets to record and display real-world 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: explains and predicts which outcomes are most likely to occur and expresses the probabilities 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 survey to collect data.

MA.E.3.2.1.4: interprets 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.