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.1.3.1.1: knows word names and standard numerals for integers, fractions, decimals, numbers expressed as percents, numbers with exponents, numbers expressed in scientific notation, absolute value, radicals, and ratios.

Real Number Line - Activity A

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 fractions, decimals, integers, and radicals using graphic models, number lines, and symbols.

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

MA.A.1.3.2.2: compares and orders numbers expressed in absolute value, scientific notation, integers, percents, numbers with exponents, fractions, decimals, radicals, and ratios.

Comparing and Ordering Decimals
Comparing and Ordering Fractions
Comparing and Ordering Integers
Comparing and Ordering Rational Numbers
Ordering Percents, Fractions and Decimals
Ordering Percents, Fractions and Decimals Greater Than 1
Polling: Neighborhood
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.1.3.3.3: constructs models to represent rational and irrational 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 given a real-world context.

Percents, Fractions and Decimals

MA.A.1.3.4.2: simplifies expressions using integers, exponents, and radicals.

Dividing Exponential Expressions
Simplifying Radicals - Activity A

MA.A.1.3.4.4: identifies and explains the absolute value of a number.

Comparing and Ordering Integers
Real Number Line - Activity A

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 rational numbers in exponential notation including negative exponents (for example, 2 to the -3 power = ___ = 1/ 8).

Dividing Exponential Expressions
Exponents and Power Rules

MA.A.2.3.1.3: evaluates numerical or algebraic expressions that contain exponential notation.

Dividing Exponential Expressions
Exponents and Power Rules
Multiplying Exponential Expressions

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: expresses base ten numbers as equivalent numbers in different bases, such as base two, base five, and base eight.

Number Systems

MA.A.2.3.2.2: discusses the application of the binary (base two) number system in computer technology.

Number Systems

MA.A.2.3.2.3: expresses non-base ten numbers as equivalent numbers in base ten.

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, decimals, and integers.

Adding and Subtracting Integers
Adding and Subtracting Integers with Chips
Dividing Fractions
Dividing Mixed Numbers
Fractions with Unlike Denominators
Multiplying Fractions
Multiplying Mixed Numbers
Multiplying with Decimals
Sums and Differences with Decimals

MA.A.3.3.1.2: knows the inverse relationship of positive and negative numbers.

Real Number Line - Activity A

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

Chocomatic (Multiplication, Arrays, and Area)
Modeling One-Step Equations - Activity A
Modeling and Solving Two-Step Equations
Solving Formulas for any Variable
Solving Two-Step Equations

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.3.3.2.1: knows the appropriate operations to solve real-world problems involving integers, ratios, rates, proportions, numbers expressed as percents, decimals, and fractions.

Beam to Moon (Ratios and Proportions)
Estimating Population Size
Polling: Neighborhood
Simple and Compound Interest

MA.A.3.3.2.2: solves real-world problems involving integers, ratios, proportions, numbers expressed as percents, decimals, and fractions in two-or three-step problems.

Beam to Moon (Ratios and Proportions)
Dividing Fractions
Dividing Mixed Numbers
Estimating Population Size
Fractions with Unlike Denominators
Multiplying Fractions
Multiplying Mixed Numbers
Multiplying with Decimals
Polling: Neighborhood
Simple and Compound Interest
Sums and Differences with Decimals

MA.A.3.3.2.3: solves real-world problems involving percents including percents greater than 100% (for example percent of change, commission).

Percent of Change
Simple and Compound Interest

MA.A.3.3.2.4: writes and simplifies expressions from real-world situations using the order of operations.

Order of Operations

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 appropriate estimation techniques for a given situation using real numbers.

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.5.3.1.2: applies number theory concepts to determine the terms in a real number 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 and graphic models to explore and derive formulas for surface area and volume of three-dimensional regular shapes, including pyramids, prisms, and cones.

Prisms and Cylinders - Activity A
Pyramids and Cones - Activity A

MA.B.1.3.1.2: solves and explains real-world problems involving surface area and volume of three- dimensional shapes.

Prisms and Cylinders - Activity A

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: applies formulas for finding rates, distance, time and angle measures.

Modeling Linear Systems - Activity A

MA.B.1.3.2.2: describes and uses rates of change (for example, temperature as it changes throughout the day, or speed as the rate of change in distance over time) and other derived measures.

Distance-Time Graphs
Distance-Time and Velocity-Time Graphs

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: knows how a change in a figure's dimensions affects its perimeter, area, circumference, surface area, or volume.

Area of Parallelograms - Activity A
Circle: Circumference 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.1.3.3.2: knows how changes in the volume, surface area, area, or perimeter of a figure affect the dimensions of the figure.

Area of Parallelograms - Activity A
Circle: Circumference 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 the effects of changes either to the dimensions of a figure or to the volume, surface area, area, perimeter, or circumference of figures.

Area of Parallelograms - Activity A
Circle: Circumference 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

MA.B.1.3.4: The student constructs, interprets, and uses scale drawings such as those based on number lines and maps to solve real-world problems.

MA.B.1.3.4.1: interprets and applies various scales including those based on number lines, graphs, models, and maps. (Scale may include rational numbers.)

Similar Polygons

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.2.3.1.1: finds measures of length, weight or mass, and capacity or volume using proportional relationships and properties of similar geometric figures.

Estimating Population Size
Perimeters and Areas of Similar Figures
Proportions and Common Multipliers
Similar Figures - Activity A
Similar Polygons

MA.B.2.3.2: The student solves problems involving units of measure and converts answers to a larger or smaller unit within either the metric or customary system.

MA.B.2.3.2.1: solves problems using mixed units within each system, such as feet and inches, hours and minutes.

Elapsed Time

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.4.3.1.2: knows the precision of different measuring instruments.

Triple Beam Balance

MA.B.4.3.1.3: determines the appropriate precision unit for a given situation.

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: determines and justifies the measures of various types of angles based upon geometric relationships in two-and three-dimensional shapes.

Investigating Angle Theorems - Activity A
Isosceles and Equilateral Triangles
Triangle Angle Sum - Activity A

MA.C.1.3.1.2: compares regular and irregular polygons and two-and three-dimensional shapes.

Classifying Triangles
Congruence in Right Triangles
Parallelogram Conditions
Prisms and Cylinders - Activity A
Special Quadrilaterals

MA.C.1.3.1.3: draws and builds three-dimensional figures from various perspectives (for example, flat patterns, isometric drawings, nets).

3D and Orthographic Views - Activity A
Surface and Lateral Area of Prisms and Cylinders
Surface and Lateral Area of Pyramids and Cones

MA.C.1.3.1.4: knows the properties of two-and three-dimensional figures.

Classifying Quadrilaterals - Activity A
Classifying Triangles
Parallelogram Conditions
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: use the properties of parallelism, perpendicularity, and symmetry in solving real-world problems.

Holiday Snowflake Designer
Quilting Bee (Symmetry)

MA.C.2.3.1.2: identifies congruent and similar figures in real-world situations and justifies the identification.

Congruence in Right Triangles
Perimeters and Areas of Similar Figures
Similar Figures - Activity A
Similar Polygons

MA.C.2.3.1.3: identifies and performs the various transformations (reflection, translation, rotation, dilation) of a given figure on a coordinate plane.

Dilations
Quilting Bee (Symmetry)
Reflections
Rock Art (Transformations)
Rotations, Reflections and Translations
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.2.3.2.1: continues a tessellation pattern using the needed transformations.

Rock Art (Transformations)

MA.C.2.3.2.2: creates an original tessellating tile and tessellation pattern using a combination of transformations.

Rock Art (Transformations)

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, makes and tests conjectures regarding geometric properties and relationships (among regular and irregular shapes of two and three dimensions).

Classifying Quadrilaterals - Activity A
Classifying Triangles
Parallelogram Conditions
Special Quadrilaterals

MA.C.3.3.1.2: applies the Pythagorean Theorem in real-world problems (for example, finds the relationship among sides in 45 degrees 45 degrees and 30 degrees 60 degrees right triangles).

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: given an equation or its graph, finds ordered-pair solutions (for example, y = 2 x).

Modeling and Solving Two-Step Equations
Solving Equations By Graphing Each Side
Solving Two-Step Equations

MA.C.3.3.2.2: given the graph of a line, identifies the slope of the line (including the slope of vertical and horizontal lines).

Distance-Time Graphs
Point-Slope Form of a Line - Activity A
Slope - Activity B

MA.C.3.3.2.3: given the graph of a linear relationship, applies and explains the simple properties of lines on a graph, including parallelism, perpendicularity, and identifying the x and y intercepts, the midpoint of a horizontal or vertical line segment, and the intersection point of two lines.

Defining a Line with Two Points
Function Machines 2 (Functions, Tables, and Graphs)
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

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: reads, analyzes, and describes graphs of linear relationships.

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

MA.D.1.3.1.3: uses the information provided in a table, graph, or rule to determine if a function is linear and justifies reasoning.

Function Machines 2 (Functions, Tables, and Graphs)
Linear Functions
Point-Slope Form of a Line - Activity A
Slope-Intercept Form of a Line - Activity A
Using Tables, Rules and Graphs

MA.D.1.3.1.4: finds a function rule to describe tables of related input-output variables.

Function Machines 1 (Functions and Tables)
Function Machines 2 (Functions, Tables, and Graphs)
Function Machines 3 (Functions and Problem Solving)
Linear Functions
Using Tables, Rules and Graphs

MA.D.1.3.1.5: predicts outcomes based upon function rules.

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
Using Tables, Rules and Graphs

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 and graphs (function tables).

Exponential Functions - Activity A
Fourth-Degree Polynomials - Activity A
Function Machines 2 (Functions, Tables, and Graphs)
Introduction to Functions
Linear Functions
Quadratic and Absolute Value Functions
Quadratics in Factored Form
Quadratics in Polynomial Form - Activity A
Rational Functions
Slope-Intercept Form of a Line - Activity A
Using Tables, Rules and Graphs

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

Defining a Line with Two Points
Inequalities Involving Absolute Values
Linear Inequalities in Two Variables - Activity A
Slope-Intercept Form of a Line - Activity A
Standard Form of a Line
Systems of Linear Inequalities (Slope-intercept form) - Activity A

MA.D.1.3.2.4: interprets the meaning of the slope of a line from a graph depicting a real-world situation.

Slope - Activity B

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, equations, and inequalities.

Using Algebraic Equations
Using Algebraic Expressions

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

Using Algebraic Equations
Using Algebraic Expressions

MA.D.2.3.1.3: solves single-and multiple-step linear equations and inequalities in concrete or abstract form.

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.D.2.3.1.4: graphs linear equations on the coordinate plane using tables of values.

Defining a Line with Two Points
Linear Functions
Slope-Intercept Form of a Line - Activity A
Standard Form of a Line
Using Tables, Rules and Graphs

MA.D.2.3.1.5: graphically displays real-world situations represented by algebraic equations or inequalities.

Inequalities Involving Absolute Values
Linear Inequalities in Two Variables - Activity A
Slope-Intercept Form of a Line - Activity A
Systems of Linear Inequalities (Slope-intercept form) - Activity A

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: simplifies algebraic expressions with a maximum of two variables.

Dividing Exponential Expressions

MA.D.2.3.2.2: solves single-and multi-step linear equations and inequalities that represent real-world situations.

Modeling One-Step Equations - Activity A
Modeling and Solving Two-Step Equations
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.1.3.1.1: reads and interprets data displayed in a variety of forms including histograms.

Histograms

MA.E.1.3.1.2: constructs and interprets displays of data, (including circle, line, bar, and box-and-whisker graphs) and explains how different displays of data can lead to different interpretations.

Box-and-Whisker Plots
Describing Data Using Statistics
Graphing Skills
Line Plots
Reaction Time 1 (Graphs and Statistics)
Scatter Plots - Activity A

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 mean, median, and mode of a set of data using raw data, tables, charts, or graphs.

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

MA.E.1.3.2.2: interprets measures of dispersion (range) and of central tendency.

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)

MA.E.1.3.2.3: determines appropriate measures of central tendency for a given situation or set of data.

Describing Data Using Statistics
Line Plots
Mean, Median and Mode
Movie Reviewer (Mean and Median)
Reaction Time 1 (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: determines the mean, median, mode, and range of a set of real-world data using appropriate technology.

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)

MA.E.1.3.3.2: organizes, graphs and analyzes a set of real-world data using appropriate technology.

Box-and-Whisker Plots
Histograms
Line Plots
Movie Reviewer (Mean and Median)
Reaction Time 1 (Graphs and Statistics)
Scatter Plots - Activity A
Stem-and-Leaf Plots

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: compares and explains the results of an experiment with the mathematically expected outcomes.

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

MA.E.2.3.1.2: calculates simple mathematical probabilities for independent and dependent events.

Compound Independent Events
Compound Independent and Dependent Events

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
Describing Data Using Statistics
Histograms
Line Plots
Movie Reviewer (Mean and Median)
Reaction Time 1 (Graphs and Statistics)
Scatter Plots - Activity A
Stem-and-Leaf Plots

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)

MA.E.3.3.2.3: identifies and uses different types of sampling techniques (for example, random, systematic, stratified).

Polling: Neighborhood

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.