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.

Fractions Greater than One (Fraction Tiles)

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

Fraction, Decimal, Percent (Area and Grid Models)
Modeling Decimals (Base-10 Blocks)
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 numbers in the same form and in two different forms such as _ < 1.

Fraction, Decimal, Percent (Area and Grid Models)

MA.A.1.2.2.2: compares and orders whole numbers through millions 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 and decimals to hundredths using concrete materials, drawings, and numerals.

Fraction Garden (Comparing Fractions)
Fraction, Decimal, Percent (Area and Grid Models)
Modeling Decimals (Area and Grid Models)
Modeling Decimals (Base-10 Blocks)
Modeling Fractions (Area Models)
Treasure Hunter (Decimals on the Number Line)

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

Fraction Garden (Comparing Fractions)
Modeling Decimals (Area and Grid Models)
Modeling Fractions (Area Models)
Number Line Frog Hop (Addition and Subtraction)
Treasure Hunter (Decimals on the 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.

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.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.

Cannonball Clowns (Number Line Estimation)

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.

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

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.

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

Factor Trees (Factoring Numbers)

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

Function Machines 3 (Functions and Problem Solving)

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

Adding Fractions (Fraction Tiles)

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.

Adding Decimals (Base-10 Blocks)
Subtracting Decimals (Base-10 Blocks)

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

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

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

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

Adding Fractions (Fraction Tiles)

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

Adding Decimals (Base-10 Blocks)
Subtracting Decimals (Base-10 Blocks)

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.

Adding Decimals (Base-10 Blocks)
Adding Fractions (Fraction Tiles)
Subtracting Decimals (Base-10 Blocks)

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.

Adding Decimals (Base-10 Blocks)
Adding Fractions (Fraction Tiles)
Subtracting Decimals (Base-10 Blocks)

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.

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

Factor Trees (Factoring Numbers)

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

Pattern Flip (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.

Balancing Blocks (Volume)
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.1.2.2.2: solves real-world problems involving perimeter, area, and volume using concrete, graphic, or pictorial 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 half-inch, centimeter

Measuring Trees

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.

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 or graphic representation.

Balancing Blocks (Volume)

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).

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: 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).

Quilting Bee (Symmetry)
Rock Art (Transformations)

MA.C.2.2.2.2: knows the effect of a flip, slide, or turn (90 degrees, 180 degrees) 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 using concrete materials (for example, color tiles, grid paper) and real-world situations (for example, carpeting a floor, fencing a yard).

Fido's Flower Bed (Perimeter and Area)

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

Fido's Flower Bed (Perimeter and Area)

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

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 or on the first quadrant of a coordinate system.

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

Pattern Flip (Patterns)

MA.D.1.2.1.2: poses, solves, and explains problems by identifying a predictable visual or numerical 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 shape is the first shape turned 90 degrees).

Pattern Flip (Patterns)

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,).

Pattern Flip (Patterns)

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

Pattern Flip (Patterns)

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

Function Machines 2 (Functions, Tables, and Graphs)
Pattern Flip (Patterns)

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.

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

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.

Reaction Time 2 (Graphs and Statistics)

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

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

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

Equivalent Fractions (Fraction Tiles)
Fraction Artist 1 (Area Models of Fractions)
Fraction Artist 2 (Area Models of Fractions)
Graphing Skills
Mascot Election (Pictographs and Bar Graphs)
Reaction Time 2 (Graphs and Statistics)

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

Movie Reviewer (Mean and Median)
Reaction Time 1 (Graphs and Statistics)
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: identifies the mean, median and mode from a set of data.

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

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

Elevator Operator (Line Graphs)
Graphing Skills
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.1.2.3.1: uses a calculator to determine the range and mean of a set of data.

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

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

Reaction Time 2 (Graphs and Statistics)

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.

Spin the Big Wheel! (Probability)

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 and predicts which outcomes are likely to occur and expresses those expected outcomes as fractions.

Spin the Big Wheel! (Probability)

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

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 a class survey to collect data.

Mascot Election (Pictographs and Bar Graphs)

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

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

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

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

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