MA.A: Number Sense, Concepts, and Operations

MA.A.1.3: The student understands the different ways numbers are represented and used in the real world.

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.

MA.A.1.3.1.2: reads and writes whole numbers and decimals in expanded form, including exponential notation.

Exponents and Power Rules

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.

MA.A.1.3.2.1: compares and orders integers, fractions, decimals, numbers with exponents, and numbers expressed as percents or in scientific notation, including ordering on a number line.

Comparing and Ordering Decimals
Comparing and Ordering Fractions
Comparing and Ordering Integers
Comparing and Ordering Rational Numbers
Fraction Garden (Comparing Fractions)
Ordering Percents, Fractions and Decimals
Ordering Percents, Fractions and Decimals Greater Than 1
Real Number Line - Activity A

MA.A.1.3.3: The student understands concrete and symbolic representations of rational numbers and irrational numbers in real-world situations.

MA.A.1.3.3.1: knows examples of rational and irrational numbers in real-world situations, including the irrational numbers pi and square root of 2.

Square Roots

MA.A.1.3.3.3: constructs models to represent rational numbers.

Comparing and Ordering Decimals
Comparing and Ordering Fractions
Comparing and Ordering Rational Numbers
Improper Fractions and Mixed Numbers

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.

MA.A.1.3.4.1: knows the relationships among fractions, decimals, and percents.

Percents, Fractions and Decimals

MA.A.1.3.4.2: 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).

Ordering Percents, Fractions and Decimals
Polling: Neighborhood

MA.A.1.3.4.3: knows whether numbers expressed in different forms are equal.

Ordering Percents, Fractions and Decimals
Ordering Percents, Fractions and Decimals Greater Than 1
Percents, Fractions and Decimals

MA.A.1.3.4.4: converts a number expressed in one form to its equivalent in another form.

Improper Fractions and Mixed Numbers
Percents, Fractions and Decimals

MA.A.2.3: The student understands number systems.

MA.A.2.3.1: The student understands and uses exponential and scientific notation.

MA.A.2.3.1.1: expresses whole numbers in exponential notation (for example, 36 = 6_).

Exponents and Power Rules

MA.A.2.3.2: The student understands the structure of number systems other than the decimal number system.

MA.A.2.3.2.1: applies knowledge of the decimal number system and of non-place-value systems.

Number Systems

MA.A.3.3: 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.3.3.1: 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.

MA.A.3.3.1.1: knows the effects of the four basic operations on whole numbers, fractions, mixed numbers, and decimals.

Dividing Fractions
Dividing Mixed Numbers
Fractions Greater than One (Fraction Tiles)
Fractions with Unlike Denominators
Multiplying Fractions
Multiplying Mixed Numbers
Multiplying with Decimals
Sums and Differences with Decimals

MA.A.3.3.1.2: uses models or pictures to show the effects of addition, subtraction, multiplication, and division on whole numbers, decimals, fractions, mixed numbers, and integers.

Adding Fractions (Fraction Tiles)
Adding Real Numbers
Adding and Subtracting Integers
Adding and Subtracting Integers with Chips
Dividing Fractions
Dividing Mixed Numbers
Fractions Greater than One (Fraction Tiles)
Fractions with Unlike Denominators
Multiplying Fractions
Multiplying Mixed Numbers
Sums and Differences with Decimals

MA.A.3.3.1.3: applies the properties of rational numbers to solve problems (commutative, associative, distributive, identity, equality, inverse).

Chocomatic (Multiplication, Arrays, and Area)
Modeling One-Step Equations - Activity A

MA.A.3.3.1.4: knows the inverse relationship of positive and negative numbers.

Function Machines 3 (Functions and Problem Solving)
Real Number Line - Activity A

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.

MA.A.3.3.2.2: solves real-world problems involving decimals and fractions using two-or three-step problems.

Dividing Fractions
Dividing Mixed Numbers
Fractions with Unlike Denominators
Multiplying Fractions
Multiplying Mixed Numbers
Multiplying with Decimals
Sums and Differences with Decimals

MA.A.3.3.2.3: solves real-world problems involving percents (for example, discounts, simple interest, taxes, tips).

Percent of Change
Percents and Proportions
Simple and Compound Interest

MA.A.3.3.2.4: applies order of operations to solve problems (parentheses, exponents, multiplication, division, addition, and subtraction).

Order of Operations

MA.A.3.3.2.5: knows proportional relationships and uses tables, graphs, or constant ratio relationships to solve and explain problems.

Polling: Neighborhood

MA.A.4.3: The student uses estimation in problem solving and computation.

MA.A.4.3.1: The student uses estimation strategies to predict results and to check the reasonableness of results.

MA.A.4.3.1.1: knows an appropriate estimation technique for a given situation using whole numbers, fractions and decimals.

Estimating Sums and Differences

MA.A.5.3: The student understands and applies theories related to numbers.

MA.A.5.3.1: The student uses concepts about numbers, including primes, factors, and multiples, to build number sequences.

MA.A.5.3.1.1: knows if numbers are prime or composite.

Finding Factors with Area Models

MA.A.5.3.1.3: determines the prime factorization of a composite number.

Finding Factors with Area Models

MA.A.5.3.1.4: applies number theory concepts to determine the terms in a sequence.

Arithmetic and Geometric Sequences

MA.B: Measurement

MA.B.1.3: The student measures quantities in the real world and uses the measures to solve problems.

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.

MA.B.1.3.1.1: uses concrete or graphic models to create formulas for finding volumes of solids (prisms and cylinders).

Prisms and Cylinders - Activity A

MA.B.1.3.1.2: uses concrete or graphic models to create formulas for finding surface area of prisms and cylinders.

Prisms and Cylinders - Activity A
Surface and Lateral Area of Prisms and Cylinders

MA.B.1.3.1.3: solves and explains problems involving perimeter, area, and circumference.

Circle: Circumference and Area
Fido's Flower Bed (Perimeter and Area)
Minimize Perimeter
Perimeter, Circumference, and Area - Activity B
Rectangle: Perimeter and Area

MA.B.1.3.2: The student uses concrete and graphic models to derive formulas for finding rates, distance, time, and angle measures.

MA.B.1.3.2.1: finds the measure of an angle by measuring with a protractor or applying angle relationships (for example, corresponding, complementary, supplementary, interior, exterior).

Investigating Angle Theorems - Activity A

MA.B.1.3.2.2: develops and uses the distance formula in solving real-world problems (d = rt).

Distance-Time Graphs
Distance-Time and Velocity-Time Graphs
Modeling Linear Systems - Activity A

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.

MA.B.1.3.3.1: given a two-or three-dimensional figure, creates a new figure by increasing or decreasing the original dimensions.

Dilations

MA.B.1.3.3.2: knows the relationships between the perimeters, areas, surface areas, or volumes of the original figure and those of the newly created figure.

Area of Parallelograms - Activity A
Circle: Circumference and Area
Fido's Flower Bed (Perimeter and Area)
Minimize Perimeter
Perimeter, Circumference, and Area - Activity B
Prisms and Cylinders - Activity A
Rectangle: Perimeter and Area

MA.B.1.3.3.3: 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 of Parallelograms - Activity A
Circle: Circumference and Area
Fido's Flower Bed (Perimeter and Area)
Minimize Perimeter
Perimeter, Circumference, and Area - Activity B
Prisms and Cylinders - Activity A
Rectangle: Perimeter and Area
Surface and Lateral Area of Prisms and Cylinders
Surface and Lateral Area of Pyramids and Cones

MA.B.2.3: The student compares, contrasts, and converts within systems of measurement (both standard/nonstandard and metric/customary).

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.

MA.B.2.3.1.3: 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).

Estimating Population Size
Proportions and Common Multipliers
Similar Figures - Activity A

MA.B.4.3: The student selects and uses appropriate units and instruments for measurement to achieve the degree of precision and accuracy required in real-world situations.

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.)

MA.B.4.3.1.3: knows the precision of different measuring instruments.

Triple Beam Balance

MA.B.4.3.1.4: determines the appropriate precision unit for a given situation.

Triple Beam Balance

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.

MA.B.4.3.2.1: selects a measurement tool (for example, scales, rulers, thermometers, measuring cups, protractors, gauges) appropriate to a given situation.

Triple Beam Balance

MA.B.4.3.2.2: 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.

Triple Beam Balance

MA.C: Geometry and Spatial Sense

MA.C.1.3: The student describes, draws, identifies, and analyzes two- and three-dimensional shapes.

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.

MA.C.1.3.1.1: identifies, draws, and uses symbolic notation to denote the basic properties of geometric terms including lines (intersecting, skew, parallel, perpendicular) and congruent figures.

Investigating Parallel Lines and Planes

MA.C.1.3.1.2: determines the measure of various types of angles using a protractor or angle relationships (including complementary, supplementary, and vertical angles).

Investigating Angle Theorems - Activity A

MA.C.1.3.1.3: compares and describes the attributes of regular and irregular polygons (for example, parallelogram, trapezoid, pentagon, hexagon).

Special Quadrilaterals

MA.C.1.3.1.4: identifies and classifies triangles and quadrilaterals.

Classifying Quadrilaterals - Activity A
Classifying Triangles

MA.C.1.3.1.5: knows the attributes of and draws three-dimensional figures (pyramid, cone, sphere, hemisphere).

Surface and Lateral Area of Pyramids and Cones

MA.C.1.3.1.6: knows the properties of two-and three-dimensional figures.

Classifying Quadrilaterals - Activity A
Classifying Triangles
Special Quadrilaterals

MA.C.2.3: The student visualizes and illustrates ways in which shapes can be combined, subdivided, and changed.

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.

MA.C.2.3.1.1: uses manipulatives and drawings to solve problems requiring spatial visualization.

3D and Orthographic Views - Activity A

MA.C.2.3.1.2: describes and applies the properties of parallelism, perpendicularity and symmetry in real- world contexts.

Holiday Snowflake Designer
Quilting Bee (Symmetry)

MA.C.2.3.1.3: recognizes, draws, and describes congruent and similar figures.

Similar Figures - Activity A

MA.C.2.3.1.4: creates and describes the attributes of a figure either congruent or similar to a given figure.

Similar Figures - Activity A

MA.C.2.3.1.5: identifies and performs the various transformations (reflection, translation, rotation) of a given figure on a coordinate plane.

Dilations
Quilting Bee (Symmetry)
Reflections
Rock Art (Transformations)
Rotations, Reflections and Translations

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).

MA.C.2.3.2.2: given a simple tessellated pattern, determines the shape(s) and transformation(s).

Quilting Bee (Symmetry)
Rock Art (Transformations)

MA.C.2.3.2.3: tessellates using reflection, translation, or rotation and any desired combinations.

Reflections
Rock Art (Transformations)
Rotations, Reflections and Translations

MA.C.3.3: The student uses coordinate geometry to locate objects in both two and three dimensions and to describe objects algebraically.

MA.C.3.3.1: The student represents and applies geometric properties and relationships to solve real-world and mathematical problems.

MA.C.3.3.1.1: observes, explains, and makes conjectures regarding geometric properties and relationships (among angles, lines, regular and irregular polygons).

Classifying Triangles
Special Quadrilaterals

MA.C.3.3.1.3: demonstrates the Pythagorean relationship in right triangles using models or diagrams (for example, manipulatives, dot, graph, or isometric paper).

Distance Formula - Activity A
Geoboard: The Pythagorean Theorem
Pythagorean Theorem - Activity A
Pythagorean Theorem - Activity B

MA.C.3.3.1.4: given two sides of a right triangle, uses the Pythagorean Theorem to find the length of the third side.

Distance Formula - Activity A
Geoboard: The Pythagorean Theorem
Pythagorean Theorem - Activity A
Pythagorean Theorem - Activity B

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.

MA.C.3.3.2.1: identifies each quadrant and the characteristics of points in each quadrant (positive and negative).

City Tour (Coordinates)
Points in the Coordinate Plane - Activity A

MA.C.3.3.2.2: identifies and plots ordered pairs in all four quadrants of the coordinate system.

City Tour (Coordinates)
Points in the Coordinate Plane - Activity A

MA.D: Algebraic Thinking

MA.D.1.3: The student describes, analyzes, and generalizes a wide variety of patterns, relations, and functions.

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.

MA.D.1.3.1.1: uses manipulatives and graphic materials to generate tables and charts (for example, input, output) to develop algebraic expressions, equations, or formulas.

Function Machines 2 (Functions, Tables, and Graphs)
Linear Functions
Using Tables, Rules and Graphs

MA.D.1.3.1.3: given an algebraic expression of a relationship or pattern, supplies specific instances of the relationship or pattern.

Arithmetic and Geometric Sequences

MA.D.1.3.1.4: predicts outcomes based on a generalization of a pattern or relationship.

Arithmetic and Geometric Sequences

MA.D.1.3.2: The student creates and interprets tables, graphs, equations, and verbal descriptions to explain cause-and-effect relationships.

MA.D.1.3.2.1: interprets and creates tables, function tables, and graphs (all four quadrants).

Function Machines 1 (Functions and Tables)
Function Machines 2 (Functions, Tables, and Graphs)
Function Machines 3 (Functions and Problem Solving)
Introduction to Functions
Linear Functions
Slope-Intercept Form of a Line - Activity A
Using Tables, Rules and Graphs

MA.D.1.3.2.3: graphs equations to explain cause-and-effect relationships.

Defining a Line with Two Points
Slope-Intercept Form of a Line - Activity A
Standard Form of a Line

MA.D.2.3: The student uses expressions, equations, inequalities, graphs, and formulas to represent and interpret situations.

MA.D.2.3.1: The student represents and solves real-world problems graphically, with algebraic expressions, equations, and inequalities.

MA.D.2.3.1.1: translates verbal expressions and sentences into algebraic expressions and equations.

Using Algebraic Equations
Using Algebraic Expressions

MA.D.2.3.1.2: translates algebraic expressions, equations, or formulas representing real-world relationships into verbal expressions or sentences.

Using Algebraic Equations
Using Algebraic Expressions

MA.D.2.3.1.4: uses pictures, models, manipulatives or other strategies to solve one-step and simple multi- step linear equations.

Modeling One-Step Equations - Activity A
Modeling and Solving Two-Step Equations
Solving Two-Step Equations

MA.D.2.3.1.5: graphs solutions to equations and inequalities on a number line.

Compound Inequalities
Solving Linear Inequalities using Addition and Subtraction
Solving Linear Inequalities using Multiplication and Division

MA.D.2.3.1.6: graphs linear equations on the coordinate plane from a table of values.

Defining a Line with Two Points
Point-Slope Form of a Line - Activity A
Slope-Intercept Form of a Line - Activity A
Solving Equations By Graphing Each Side
Standard Form of a Line
Using Tables, Rules and Graphs

MA.D.2.3.2: The student uses algebraic problem-solving strategies to solve real-world problems involving linear equations and inequalities.

MA.D.2.3.2.1: knows how to solve linear equations and inequalities representing real-world situations, using pictures, models, manipulatives (such as algebra tiles) , or other strategies.

Modeling and Solving Two-Step Equations
Solving Equations By Graphing Each Side
Solving Linear Inequalities using Addition and Subtraction
Solving Linear Inequalities using Multiplication and Division
Solving Two-Step Equations

MA.E: Data Analysis and Probability

MA.E.1.3: The student understands and uses the tools of data analysis for managing information.

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.

MA.E.1.3.1.2: interprets and analyzes data presented in a variety of forms, including box-and-whisker graphs and scatter plots.

Box-and-Whisker Plots
Correlation
Reaction Time 2 (Graphs and Statistics)
Scatter Plots - Activity A
Solving Using Trend Lines

MA.E.1.3.1.3: 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.

Box-and-Whisker Plots
Describing Data Using Statistics
Elevator Operator (Line Graphs)
Graphing Skills
Histograms
Line Plots
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)
Scatter Plots - Activity A
Stem-and-Leaf Plots

MA.E.1.3.2: The student understands and applies the concepts of range and central tendency (mean, median, and mode).

MA.E.1.3.2.1: finds the range, mean, median, and mode of data from a table, chart, or graph.

Box-and-Whisker Plots
Describing Data Using Statistics
Graphing Skills
Line Plots
Mean, Median and Mode
Movie Reviewer (Mean and Median)
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)

MA.E.1.3.2.2: draws conclusions from an analysis of range and central tendency of a set of real-world data.

Box-and-Whisker Plots
Describing Data Using Statistics
Line Plots
Mean, Median and Mode
Movie Reviewer (Mean and Median)
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)

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.

MA.E.1.3.3.1: applies and analyzes appropriate measures of central tendency (mode, mean, median, range) for a set of data.

Describing Data Using Statistics
Line Plots
Mean, Median and Mode
Movie Reviewer (Mean and Median)
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)

MA.E.1.3.3.2: uses technology, such as graphing calculators and computer spreadsheets, to analyze data and create graphs.

Graphing Skills
Reaction Time 2 (Graphs and Statistics)

MA.E.2.3: The student identifies patterns and makes predictions from an orderly display of data using concepts of probability and statistics.

MA.E.2.3.1: The student compares experimental results with mathematical expectations of probabilities.

MA.E.2.3.1.1: obtains experimental results using manipulatives.

Geometric Probability - Activity A
Probability Simulations
Spin the Big Wheel! (Probability)

MA.E.2.3.1.2: explains observed difference between mathematical and experimental results.

Probability Simulations
Spin the Big Wheel! (Probability)
Theoretical and Experimental Probability

MA.E.2.3.1.3: calculates simple mathematical probabilities for independent and dependent events.

Compound Independent Events
Compound Independent and Dependent Events
Spin the Big Wheel! (Probability)

MA.E.3.3: The student uses statistical methods to make inferences and valid arguments about real-world situations.

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.

MA.E.3.3.1.2: performs the experiment and collects, organizes, and displays the data.

Box-and-Whisker Plots
Movie Reviewer (Mean and Median)
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)

MA.E.3.3.1.3: evaluates the hypothesis by making inferences and drawing conclusions based on statistical results.

Reaction Time 2 (Graphs and Statistics)

MA.E.3.3.2: The student identifies the common uses and misuses of probability and statistical analysis in the everyday world.

MA.E.3.3.2.1: knows appropriate uses of statistics and probability in real-world situations.

Spin the Big Wheel! (Probability)

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.