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 proper fractions with denominators including 2, 3, 4, 5, 6, 8, 10, and 100.

Fraction Artist 1 (Area Models of Fractions)
Fraction Artist 2 (Area Models of Fractions)

MA.A.1.2.1.3: reads, writes, and identifies decimal notation in the context of money.

Fraction, Decimal, Percent (Area and Grid Models)
Treasure Hunter (Decimals on the Number Line)

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 the relative size of numbers in the same form.

Fraction, Decimal, Percent (Area and Grid Models)

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

Cannonball Clowns (Number Line Estimation)

MA.A.1.2.2.3: compares and orders commonly used fractions, including halves, thirds, fourths, fifths, sixths and eighths, using concrete materials.

Fraction Artist 1 (Area Models of Fractions)
Fraction Artist 2 (Area Models of Fractions)
Fraction Garden (Comparing Fractions)
Modeling Fractions (Area Models)

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 and models using whole numbers, fractions, and decimal notation in the context of money.

Equivalent Fractions (Fraction Tiles)
Fraction Artist 1 (Area Models of Fractions)
Fraction Artist 2 (Area Models of Fractions)
Fraction Garden (Comparing Fractions)
Fraction, Decimal, Percent (Area and Grid Models)
Modeling Fractions (Area Models)
Toy Factory (Set Models of Fractions)

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 and common fractions.

Adding Fractions (Fraction Tiles)
Equivalent Fractions (Fraction Tiles)
Fraction Artist 1 (Area Models of Fractions)
Fraction Artist 2 (Area Models of Fractions)
Fraction Garden (Comparing Fractions)
Fractions Greater than One (Fraction Tiles)
Modeling Fractions (Area Models)
Toy Factory (Set Models of Fractions)

MA.A.1.2.4.3: knows that two numbers in different forms are equivalent or non-equivalent, using whole numbers, fractions, and decimals in the context of money.

Equivalent Fractions (Fraction Tiles)
Fraction Garden (Comparing Fractions)

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 whole numbers to hundred thousands, including writing and interpreting expanded forms of numbers.

Cannonball Clowns (Number Line Estimation)

MA.A.2.2.1.2: knows that the value of each place is 10 times that of the place to its right (for example, 1,000 = 10 x 100).

Cannonball Clowns (Number Line Estimation)
Modeling Decimals (Base-10 Blocks)

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: compares the decimal (base 10) number system to the Roman numeral system using the Roman numerals I, V, X, L, and C.

Cannonball Clowns (Number Line Estimation)
Modeling Decimals (Base-10 Blocks)

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: explains and demonstrates the addition and subtraction of whole numbers (up to three digits or more) using concrete materials, drawings, symbols, and algorithms.

Cargo Captain (Multi-digit Subtraction)
Number Line Frog Hop (Addition and Subtraction)

MA.A.3.2.1.2: explains the inverse relationship of addition and subtraction and demonstrates that relationship by writing related fact families.

Function Machines 3 (Functions and Problem Solving)

MA.A.3.2.1.3: explains and demonstrates the meaning of multiplication (for the repeated addition, array, and area models) using manipulatives, drawings, number sentences, and story problems.

Chocomatic (Multiplication, Arrays, and Area)
Critter Count (Modeling Multiplication)

MA.A.3.2.1.4: explains and demonstrates the meaning of division and of remainders (for the repeated subtraction and partitive models) using manipulatives, drawings, number sentences, and story problems.

No Alien Left Behind (Division with Remainders)

MA.A.3.2.1.5: solves multiplication basic facts using various strategies including the following:

MA.A.3.2.1.5.b: skip counting, for example, to find 4 x 5, count 5, 10, 15, 20

Factor Trees (Factoring Numbers)

MA.A.3.2.1.5.c: using doubles and near doubles, such as 3 x 8 = (2 x 8) + 8

Factor Trees (Factoring Numbers)

MA.A.3.2.1.5.d: applying the commutative property of multiplication, such as 7 x 3 = 3 x 7

Critter Count (Modeling Multiplication)

MA.A.3.2.1.5.e: applying the distributive property of multiplication, such as 8 x 7 = (8 x 5) + (8 x 2)

Chocomatic (Multiplication, Arrays, and Area)

MA.A.3.2.1.5.f: noting and applying patterns in the facts tables, such as the regularity in the nines

Factor Trees (Factoring Numbers)

MA.A.3.2.1.5.g: using the zero and identity properties of multiplication

Chocomatic (Multiplication, Arrays, and Area)
Critter Count (Modeling Multiplication)

MA.A.3.2.1.6: explains the inverse relationship of multiplication and division and writes related fact families.

Function Machines 3 (Functions and Problem Solving)

MA.A.3.2.1.7: predicts the relative size of solutions in addition, subtraction, multiplication, and division of whole numbers (for example, dividing a whole number by a smaller whole number results in another number that is smaller than the original number).

Cargo Captain (Multi-digit Subtraction)
Number Line Frog Hop (Addition and Subtraction)

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: writes number sentences for given situations involving the addition, subtraction, multiplication, and division of whole numbers.

Cargo Captain (Multi-digit Subtraction)
Number Line Frog Hop (Addition and Subtraction)

MA.A.3.2.2.2: uses problem-solving strategies to determine the operation needed to solve one-step problems involving addition, subtraction, multiplication, and division of whole numbers.

Cargo Captain (Multi-digit Subtraction)
Number Line Frog Hop (Addition and Subtraction)

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 using an appropriate method (for example, mental math, paper and pencil, concrete materials, calculator).

Cargo Captain (Multi-digit Subtraction)

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: uses estimation strategies to determine a reasonable estimate of a quantity.

Measuring Motion

MA.A.4.2.1.3: chooses estimation strategies (for example, front-end, rounding) in real-world problem situations and explains the choice.

Target Sum Card Game (Multi-digit Addition)

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.5.2.1.2: uses a model to determine factors of whole numbers through 100 (for example, array).

Factor Trees (Factoring Numbers)

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 concrete objects to investigate measurement of length, weight, capacity, area, perimeter, and volume (for example, cubes, grid paper, string, squares).

Fido's Flower Bed (Perimeter and Area)

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 using concrete and pictorial models for the following:

MA.B.1.2.2.1.a: length (for example, half-inch, centimeter)

Measuring Trees

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

Fido's Flower Bed (Perimeter and Area)

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.

Measuring Motion

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 inch, centimeter

Measuring Trees

MA.B.3.2.1.3: knows how to estimate the area and perimeter of square and rectangular shapes using graph paper, geoboard or other manipulatives.

Fido's Flower Bed (Perimeter and Area)

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

Balancing Blocks (Volume)
Measuring Motion

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 concrete materials (for example, pattern blocks, geoboards, mirrors).

Quilting Bee (Symmetry)
Rock Art (Transformations)

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: explores flips, slides, and 180 degree turns (either clockwise or counterclockwise) using concrete and graphic materials (for example, pattern blocks, geoboards, dot paper).

Quilting Bee (Symmetry)
Rock Art (Transformations)

MA.C.2.2.2.2: knows the effect of a flip, slide, and 180 degree turn on a geometric figure.

Quilting Bee (Symmetry)
Rock Art (Transformations)

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 through the use of concrete and graphic materials (for example, geoboards, color tiles, grid paper).

Fido's Flower Bed (Perimeter and Area)

MA.C.3.2.1.2: applies the concepts of area and perimeter of rectangles to solve real-world and mathematical problems through the use of concrete materials (for example, framing a photograph).

Fido's Flower Bed (Perimeter and Area)

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.

City Tour (Coordinates)

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: identifies missing parts in patterns.

Pattern Flip (Patterns)

MA.D.1.2.1.2: describes, extends, and creates numerical and geometric patterns through models (for example, concrete objects, drawings, simple number sequences).

Pattern Flip (Patterns)

MA.D.1.2.1.3: poses and solves problems by identifying a predictable visual or numerical pattern (for example: Continue this pattern: + , -, = , + , + , -, -, _ _ _ , _ _ _ ,).

Pattern Flip (Patterns)

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 number is two more than the first).

Pattern Flip (Patterns)

MA.D.1.2.2.2: analyzes number patterns and states the rule for relationships (for example, 2, 4, 6, 8, ...; the rule: + 2).

Pattern Flip (Patterns)

MA.D.1.2.2.3: discusses and explains the choice of the rule that applies to the pattern.

Pattern Flip (Patterns)

MA.D.1.2.2.4: identifies and extends a pattern according to the given rule.

Pattern Flip (Patterns)

MA.D.1.2.2.5: applies and explains the appropriate rule to complete a table or chart.

Pattern Flip (Patterns)
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)

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

MA.D.2.2.1: The student represents a given simple problem situation using diagrams, models, and symbolic expressions translated from verbal phrases, or verbal phrases translated from symbolic expressions, etc.

MA.D.2.2.1.2: creates a simple word problem for a given number sentence, diagram, or model.

No Alien Left Behind (Division with Remainders)

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.2.2.2.1: uses physical models and graphs (for example, cubes, number lines) to solve real-world equations and inequalities.

Road Trip (Problem Solving)

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.1.2.1.2: interprets and compares information from picto-and bar graphs including graphs from content-area materials and periodicals.

Graphing Skills
Mascot Election (Pictographs and Bar Graphs)
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)

MA.E.1.2.1.3: generates questions, collects responses, and displays data in a table, pictograph or bar graph.

Graphing Skills
Mascot Election (Pictographs and Bar Graphs)
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)

MA.E.1.2.1.4: interprets and explains orally and in writing displays of data.

Reaction Time 2 (Graphs and Statistics)

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

MA.E.1.2.2.1: uses concrete materials to determine the mean in a set.

Movie Reviewer (Mean and Median)
Reaction Time 2 (Graphs and Statistics)

MA.E.1.2.2.2: identifies the median and mode from a set of numerical data.

Movie Reviewer (Mean and Median)
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)

MA.E.1.2.2.3: identifies the range in a set of numerical data.

Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)

MA.E.1.2.2.4: uses concrete materials, pictures, or graphs to display data and identify range, median, and mode.

Movie Reviewer (Mean and Median)
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)

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.1.2.3.2: in class projects, constructs and discusses patterns in computer-generated graphs using real- world problems (for example, identify most popular pizza topping).

Pattern Flip (Patterns)

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

Spin the Big Wheel! (Probability)

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

MA.E.2.2.2.2: determines which outcomes are most likely to occur in certain situations (for example, spinning red is most likely to occur when a spinner is divided equally among red, blue, green, and red).

Spin the Big Wheel! (Probability)

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 appropriate questions for a survey.

Mascot Election (Pictographs and Bar Graphs)

MA.E.3.2.1.2: creates a pictograph or bar graph to present data from a given survey.

Graphing Skills
Mascot Election (Pictographs and Bar Graphs)
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)

MA.E.3.2.1.3: explains the results from the data of a given survey.

Mascot Election (Pictographs and Bar Graphs)
Movie Reviewer (Mean and Median)
Reaction Time 2 (Graphs and Statistics)

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.