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About Math4Texas
Navigating the Grade Levels
About ESC Region 11
For Parents
Getting Started
Kindergarten
Data Analysis & Graphing
Collecting Sorting & Organizing Data
Using Data to Create Graphs
Drawing Conclusions from Graphs
Geometry
Two-dimensional Shapes
Three-dimensional Solids
Two-dimensional Components of Three-dimensional Objects
Attributes of Two-dimensional Shapes
Regular & Irregular Figures
Creating Two-dimensional Shapes
Measurement
Measurable Attributes
Comparing Measureable Attributes
Number Operations
Modeling Addition & Subtraction
Solving Problems
Strategies to Solve Problems
Number Relationships
Counting to 20
Whole Numbers to 20
Counting Sets of Objects to 20
Instant Recognition of Numbers
More Than Less Than & Equal to 20
One More Than & One Less Than
Comparing Sets of Objects
Comparing Numbers
Composing & Decomposing to 20
Reciting Numbers to 100
Personal Financial Literacy
Identifying Coins
Ways to Earn Income
Differences in Income & Gifts
Skills Required for Jobs
Differences in Wants & Needs
First Grade
Data Analysis & Graphing
Collecting Sorting Organizing Data with Tally Marks & T-Chart
Picture & Bar-Type Graphs
Conclusions & Questions from Picture & Bar-type Graphs
Fractions
Fair Sharing or Equal Parts
Halves & Fourths
Geometry
Two-dimensional Shapes
Two-dimensional & Three-dimensional Attributes
Creating Two-dimensional Figures
Identifying Two-dimensional Shapes
Identifying Three-dimensional Solids
Composing Two-dimensional Shapes
Measurement
Using Measuring Tools
Measuring Length
Measuring with Different Units
Describing Length
Telling Time
Number Operations
Using Pictorial Models with Sums
Objects & Pictorial Models to Solve Word Problems
Composing 10
Basic Addition & Subtraction Fact Strategies
Addition & Subtraction Strategies
Generating & Solving Word Problems
Reciting Numbers to 120
Representing Word Problems with Models & Number Sentences
Understanding the Equal Sign
Determining the Unknown in a Number Sentence
Adding Two or Three Numbers
Number Relationships
Subitizing Instant Recognition of Numbers
Composing & Decomposing Numbers
Expanded & Standard Forms
Generating Numbers Greater Than & Less Than
Comparing Numbers Using Language
Ordering Numbers Based on Place Value
Comparing Numbers Using Symbols
Skip Counting by Twos Fives & Tens
10 More & 10 Less
Personal Financial Literacy & Money
Identifying Coins
Writing the Cent Symbol
Using Skip Counting with Coins
Earning Income
Identifying Income as Goods & Services
Spending & Saving
Charitable Giving
Second Grade
Big Ideas & Topics
Data Analysis & Graphing
Explaining Bar Length & Number of Pictures Represent Data Points
Organizing Data Using Pictographs & Bar Graphs
Writing & Solving One-Step Problems from Pictographs & Bar Graphs
Drawing Conclusions & Making Predictions from Graphs
Geometry
Creating Two-Dimensional Shapes
Classifying & Sorting Three-Dimensional Solids
Classifying & Sorting Polygons
Composing Two-Dimensional Shapes & Three-Dimensional Solids Based on Attributes or Properties
Decomposing Two-Dimensional Shapes
Measurement
Finding the Length Using Standard Units of Length
Describing the Inverse Relationship Between the Size and Numbers of Units
Representing Whole Numbers as Distances on a Number Line
Determining the Length Using Measuring Tools
Determining & Estimating Lengths in a Problem
Finding the Area of a Rectangle Using Models
Reading & Writing Time to the Nearest Minute
Number Operations
Basic Addition & Subtraction Facts
Adding Four Two-Digit Numbers & Subtracting Two-Digit Numbers
Solving Problems Involving Addition & Subtraction with 1 000
Generating & Solving Problems when Given a Number Sentence
Modeling Creating & Describing Contextual Multiplication Situations
Modeling Creating & Describing Contextual Division Situations
Determining Odd & Even Using Objects
10 More or Less Than a Given Number up to 1 200
Representing & Solving Addition & Subtraction Problems with Unknown Terms
Number Relationships
Concrete & Pictorial Models to Compose & Decompose Numbers to 1 200
Standard Word & Expanded Forms to 1 200
Generating a Number Greater or Less Than a Given Number
Comparing & Ordering Numbers to 1 200
Locating a Given Point on a Number Line
Naming a Whole Number on a Number Line
Partitioning Objects into Equal Parts
Explaining the Number of Fractional Parts Used Determines the Size of Fractional Parts
Using Models to Count Fractional Parts Beyond One Whole
Identifying Examples and Non-Examples of Halves Fourths & Eighths
Personal Financial Literacy
Determining the Value of a Collection of Coins
Using the Cent Symbol Dollar Sign & Decimal Point
Calculating Money Saved Over Time
Savings vs Spending
Differences in a Deposit & a Withdrawal
Responsible & Irresponsible Borrowing
Lending & Decisions to Lend to Others
Differences in Producers & Consumers
Third Grade
Big Ideas & Topics
Data Analysis
Summarizing a Data Set with Multiple Categories
Solving One- & Two-Step Problems from a Frequency Table Dot Plot Pictograph or Bar Graph
Geometry
Classifying & Sorting Two- & Three-Dimensional Figures
Using Attributes to Recognize Rhombuses Parallelograms Trapezoids Rectangles & Squares
Determining the Area of Rectangles Using Multiplication
Decomposing Composite Figures Formed by Rectangles
Decomposing Two Congruent Two-Dimensional Figures into Parts with Equal Areas
Measurement
Determining the Perimeter of a Polygon
Adding & Subtracting Intervals of Time in Minutes
Using Measurements of Liquid Volume or Weight
Determining Liquid Volume or Weight Using Appropriate Units & Tools
Number Operations
Solving One- & Two-Step Addition & Subtraction Problems within 1 000
Rounding to the Nearest 10 or 100 Using Compatible Numbers
Determining Objects in Equally Sized Groups in Arrays up to 10 by 10
Multiplication Facts using a Variety of Strategies
Recalling Multiplication & Division Facts up to 10 by 10
Multiplying a Two-Digit Number by a One-Digit Number Using Strategies & Algorithms
Partitioning into Equal Shares & Sharing Equally
Determining the Quotient
Solving One- & Two-Step Multiplication & Division Problems within 100
Representing One- & Two-Step Addition & Subtraction Problems within 1 000
Representing & Solving One- & Two-Step Multiplication & Division Problems within 100
Describing a Multiplication Expression as a Comparison
Determining an Unknown in a Multiplication or Division Equation
Representing Real-World Relationships Using Number Pairs in a Table
Number Relationships
Composing & Decomposing Numbers up to 100 000 including Expanded Notation
Describing Base 10 Relationships through the 100 000 Place
Representing a Number on a Number Line with Two Consecutive Multiples
Comparing & Ordering Numbers to 100 000 using Comparison Symbols
Representing Fractions Greater Than Zero
Determining the Corresponding Fractions Using a Number Line
Explaining a Unit Fraction
Composing & Decomposing a Fraction
Partitioning an Object or Set of Objects Using Pictorial Representations
Representing Equivalent Fractions with Denominators of 2 3 4 6 and 8
Explaining Two Fractions are Equivalent Using a Number Line or an Area Model
Comparing Two Fractions Having the Same Numerator or Denominator
Determining If a Number is Odd or Even
Representing Fractions of Halves Fourths & Eighths on a Number Line
Personal Financial Literacy
Determining the Value of a Collection of Coins and Bills
Human Capital & Income
Describing Availability & Scarcity of Resources
Planned & Unplanned Spending
Using of Credit
Savings & Benefits to Saving
Identifying Income Spending Saving & Charitable Giving
Fourth Grade
Big Ideas & Topics
Data Analysis & Graphing
Representing Data
Solving Problems Using Data
Geometry
Identifying Points Lines Line Segments Rays & Angles
Lines of Symmetry
Acute Right & Obtuse Triangles
Classifying Two-dimensional Figures Based on Lines & Angles
Angle Measures of Circles
Measure Angles of Circles Using Degrees
Using a Protractor to Determine Measures of Angles
Drawing an Angle with a Given Measure
Determining the Measures of Unknown Angles
Measurement
Models for Formulas of Perimeter & Area of Rectangles
Solving Problems Related to Perimeter & Area
Relative Sizes of Units in Customary & Metric Systems
Converting Measurements within the Same Measurement System
Solving Problems Related to Time Length Liquid Volume Mass & Money
Number Operations
Representing & Solving Adding & Subtracting Fractions
Reasonable Sums & Differences Using Benchmark Fractions
Adding & Subtracting Whole Numbers & Decimals
Multiplying by 10 or 100
Multiplying a Two-digit Number by a Two-digit Number
Multiplying a Four-Digit Number by a One-digit Number & 2 Two-Digit Numbers
Dividing a Four-digit Number by a One-digit Number
Using Strategies & Algorithms to Divide up to a Four-digit Dividend by a One-digit Divisor
Rounding & Using Compatible Numbers
Multiplication & Division One- & Two-Step Problems
Representing Multi-Step Problems with Unknowns
Representing Problems Using Input-Output Tables & Numerical Expressions
Number Relationships
Value of Place-value Positions
Value of the Digit in Whole Numbers & Decimals
Comparing & Ordering Whole Numbers Using Symbols
Rounding Whole Numbers to the Hundred Thousands Place
Representing Decimals to the Hundredths Place
Comparing & Ordering Decimals to the Hundredths
Relating Decimals to Fractions
Determining Decimals Using a Number Line
Representing Fractions as a Sum of Fractions
Decomposing Fractions with the Same Denominator
Determining Equivalent Fractions
Comparing Fractions with Different Numerators & Denominators
Representing Decimals & Fractions on a Number Line
Personal Financial Literacy
Fixed & Variable Expenses
Calculating Profit
Comparing Various Savings Options
Allocating Weekly Allowance
Purposes of Financial Institutions
Fifth Grade
Big Ideas & Topics
Data Analysis & Graphing
Representing Categorical & Numerical Data
Representing Data on a Scatterplot
Solving One- & Two-Step Problems using Data from Graphs & Plots
Geometry & Measurement
Volume of Rectangular Prisms & Cubes
Representing & Solving Problems Involving Area Perimeter & Volume
Classifying Two-Dimensional Figures Based on Attributes & Properties
Recognizing a Unit Cube Related to Volume
Determining Volume of a Rectangular Prism
Conversions within Customary & Metric Systems
Describing Attributes of a Coordinate Plane
Graphing Ordered Pairs on a Coordinate Plane
Graphing in the First Quadrant using Ordered Pairs of Numbers
Number Operations
Estimating Solutions Involving the Four Operations
Multiplying a Three-Digit Number by a Two-Digit Number
Quotients up to a Four-Digit Dividend by a Two-Digit Divisor
Multiplying Decimals to the Hundredths
Products of Decimals to the Hundredths Including Money
Quotients of Decimals Involving Four-Digit Dividends and Two-Digit Divisors
Solving Quotients of Decimals Involving Four-Digit Dividends and Two-Digit Divisors Using Algorithm
Adding & Subtracting Fractions with Unlike Denominators
Multiplying a Whole Number by a Fraction
Dividing Unit Fractions using Pictorial Models
Adding & Subtracting Positive Rational Numbers
Dividing Whole Numbers & Unit Fractions
Solving Multi-Step Problems Involving the Four Operations
Generating a Numerical Pattern When Given a Rule
Differences in Additive & Multiplicative Patterns in Tables & Graphs
Number Relationships
Representing Decimal Values to the Thousandths
Comparing & Ordering Decimals to the Thousandths
Rounding Decimals
Identifying Prime & Composite Numbers
Parentheses & Brackets in an Numeric Expression
Simplifying Numerical Expressions without Exponents
Personal Financial Literacy
Defining Income Payroll Sales & Property Taxes
Differences Between Gross & Net Incomes
Advantages & Disadvantages of Different Payment Methods
System for Keeping Financial Records
Actions to Take When Expenses Exceed Income
Balancing a Simple Budget
Sixth Grade
Big Ideas & Topics
Data Analysis & Graphing
Representing Numeric Data
Center Spread & Shape of Data Distribution
Mean Median Range & Interquartile Range
Mode Relative Frequency Table & Percent Bar Graph
Summarized Data in Dot Plots Stem-and-leaf Plots Histograms & Box Plots
Data With and Without Variability
Geometry & Measurement
Converting Units Within a Measurement System
Sums of Angles of a Triangle including Length of Sides & Measures of Angles
Area Formulas for Parallelograms Trapezoids & Triangles
Area Equations of Rectangles Parallelograms Trapezoids & Triangles & Volume of Rectangular Prisms
Solutions for Area of Rectangles Parallelograms Trapezoids & Triangles
Graphing Using Ordered Pairs
Number Operations
6 3A
6 3B
Integer Operations with Models & Algorithms
Adding Subtracting Multiplying & Dividing Integers
Multiplying & Dividing Positive Rational Numbers
Comparing Additive & Multiplicative Relationships
Predicting & Comparing Ratios & Rates
Rates & Ratios with Scale Factors Tables Graphs & Proportions
Finding the Part the Whole & the Percent
Independent & Dependent Quantities from Tables & Graphs
Relationship Between Independent and Dependent Quantities
y kx or y x b using Verbal Descriptions Tables Graphs & Equations
One-Variable One-Step Equations & Inequalities
Number Lines with One-Variable One-Step Equations & Inequalities
Writing Problems with One-Variable One-Step Equations or Inequalities
Geometric Concepts with One-Variable One-Step Equations or Inequalities
Determine if Values Make One-Variable One-Step Equations or Inequalities True
Number Relationships
Classifying Whole Numbers Integers & Rational Numbers
Identifying Absolute Value
Comparing & Ordering Integers and Rational Numbers
Ordering a Set of Rational Numbers
Representations of Division including Fraction Notation
Ratios as Multiplicative Comparisons
Rates as Quotients
Representing Ratios & Percents
Representing Benchmark Fractions using a Variety of Representations
Generating Equivalent Forms of Fractions Decimals & Percents
Using Equivalent Fractions Decimals & Percents to Show Parts of a Whole
Generating Numerical Expressions Using the Order of Operations
Distinguishing Between Expressions & Equations
Equivalent Expressions using a Variety of Representations
Equivalent Expressions using Properties of Operations
Personal Financial Literacy
Features & Costs of Checking Account & Debit Card
Differences Between Debit Cards & Credit Cards
6 14C
Establishing a Positive Credit History
Information on a Credit Report
Value of a Credit Report
Various Methods to Pay for College
Annual Salaries of Several Occupations
Seventh Grade
Big Ideas & Topics
Data Analysis & Graphing
Solving Problems with Bar Graphs Dot Plots & Circle Graphs
Comparing Data with Dot Plots & Box Plots
Inferences Based on Data from Random Samples
Comparing Populations Based on Random Samples
Geometry & Measurement
Converting Between Measurement Systems
Attributes of Similar Shapes
Describing Pi
Similar Shape and Scale Drawings
Relationship Between Volume of a Rectangular Prism & Rectangular Pyramid
Relationships in Volume Between Triangular Prisms and Pyramids
Approximate Formulas for Circumference & Area of a Circle
Volume of Rectangular Prisms Triangular Prisms Rectangular Pyramids & Triangular Pyramids
Circumference & Area of Circles
Area of Composite Figures
Lateral & Total Surface Area Using Nets
Writing & Solving Equations Using Geometry Concepts
Number Operations
Adding Subtracting Multiplying & Dividing Rational Numbers
Solving Problems Involving Rational Numbers
Constant Rates of Change
Calculating Unit Rates
Constant of Proportionality
Rates Ratios & Percents
Representing Linear Relationships
One-Variable Two-Step Equations & Inequalities
Using Number Lines with One-Variable Two-Step Equations & Inequalities
Corresponding Real-world Problems to One-Variable Two-Step Equations & Inequalities
Modeling & Solving One-Variable Two-Step Equations & Inequalities
Given Values in One-Variable Two-Step Equations & Inequalities
Personal Financial Literacy
Calculating Sales & Income Taxes
Identifying Components of a Personal Budget
Creating & Organizing Financial Assets & Liabilities Records
Using a Family Budget Estimator
Calculating & Comparing Simple & Compound Interest Earnings
Analyzing & Comparing Monetary Incentives
Probability Number Relationships
Relationships Between Sets of Rational Numbers
Simple & Compound Events Using Lists & Tree Diagrams
Using Simulations to Represent Simple & Compound Events
Predictions & Solutions Using Experimental Data
Predictions & Solutions Involving Theoretical Probability
Probabilities of Simple Events
Inferences Using Random Population Samplings
Using Qualitative & Quantitative Predictions & Comparisons to Solve Problems
Experimental & Theoretical Probabilities Using Data & Sample Spaces
Eighth Grade
Data Analysis & Graphing
Bivariate Sets of Data
Using Trend Lines with Bivariate Sets of Data
Scatterplots with Linear Non-linear & No Associations
Determining the Mean Absolute Deviation
Generating Random Samples of Populations
Geometry & Measurement
Ratios of Corresponding Sides
Attributes of Shapes & Dilations on a Coordinate Plane
Effect of Positive Rational Scale Factor
Describing the Volume Formula of a Cylinder
Relationship Between the Volume of a Cylinder & a Cone
Using Models & Diagrams to Explain the Pythagorean Theorem
Volume of Cylinders Cones & Spheres
Lateral & Total Surface Area Involving Rectangular Prisms Triangular Prisms & Cylinders
Using the Pythagorean Theorem
Determining Distance using the Pythagorean Theorem
Angle Sum & Exterior Angles of Triangles
Properties of Orientation & Congruence on a Coordinate Plane
Differentiate between Transformations
Effects of Translations Reflections & Rotations on a Coordinate Plane
Modeling Linear & Area Measurements
Number Computations
Using Right Triangles to Develop Understanding of Slope
Graphing Proportional Relationships
Using Data to Determine the Slope & y-Intercept
Representing Linear Proportional Situations
Representing Linear Non-Proportional Situations
Solving Problems Involving Direct Variation
Distinguishing Between Proportional & Non-Proportional Situations
Identifying Functions
Identifying Examples of Proportional & Non-Proportional Functions
Using y mx b to Model Linear Relationships
Writing One-Variable Equations & Inequalities
Writing Real-World Problems Given an Equation or Inequality
Modeling & Solving One-Variable Equations
Identifying & Verifying the Values of x & y
Number Relationships
Relationships Between Sets of Numbers
Approximating the Value of Irrational Numbers
Standard Decimal Notation & Scientific Notation
Ordering a Set of Real Numbers
Personal Financial Literacy
Comparing Interest Rates & Loan Length
Calculating the Cost of Repaying a Loan
Investing Regularly
Calculate & Compare Simple & Compound Interest Earnings
Advantages & Disadvantages of Various Payment Methods
Analyzing Financial Responsible Decisions
Estimating Costs of a College Education
Video Library
Media Material
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Getting Started
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First Grade
Second Grade
Third Grade
Fourth Grade
Fifth Grade
Sixth Grade
Seventh Grade
Eighth Grade
Video Library
In This Section
Getting Started
Kindergarten
Data Analysis & Graphing
Collecting Sorting & Organizing Data
Using Data to Create Graphs
Drawing Conclusions from Graphs
Geometry
Two-dimensional Shapes
Three-dimensional Solids
Two-dimensional Components of Three-dimensional Objects
Attributes of Two-dimensional Shapes
Regular & Irregular Figures
Creating Two-dimensional Shapes
Measurement
Measurable Attributes
Comparing Measureable Attributes
Number Operations
Modeling Addition & Subtraction
Solving Problems
Strategies to Solve Problems
Number Relationships
Counting to 20
Whole Numbers to 20
Counting Sets of Objects to 20
Instant Recognition of Numbers
More Than Less Than & Equal to 20
One More Than & One Less Than
Comparing Sets of Objects
Comparing Numbers
Composing & Decomposing to 20
Reciting Numbers to 100
Personal Financial Literacy
Identifying Coins
Ways to Earn Income
Differences in Income & Gifts
Skills Required for Jobs
Differences in Wants & Needs
First Grade
Data Analysis & Graphing
Collecting Sorting Organizing Data with Tally Marks & T-Chart
Picture & Bar-Type Graphs
Conclusions & Questions from Picture & Bar-type Graphs
Fractions
Fair Sharing or Equal Parts
Halves & Fourths
Geometry
Two-dimensional Shapes
Two-dimensional & Three-dimensional Attributes
Creating Two-dimensional Figures
Identifying Two-dimensional Shapes
Identifying Three-dimensional Solids
Composing Two-dimensional Shapes
Measurement
Using Measuring Tools
Measuring Length
Measuring with Different Units
Describing Length
Telling Time
Number Operations
Using Pictorial Models with Sums
Objects & Pictorial Models to Solve Word Problems
Composing 10
Basic Addition & Subtraction Fact Strategies
Addition & Subtraction Strategies
Generating & Solving Word Problems
Reciting Numbers to 120
Representing Word Problems with Models & Number Sentences
Understanding the Equal Sign
Determining the Unknown in a Number Sentence
Adding Two or Three Numbers
Number Relationships
Subitizing Instant Recognition of Numbers
Composing & Decomposing Numbers
Expanded & Standard Forms
Generating Numbers Greater Than & Less Than
Comparing Numbers Using Language
Ordering Numbers Based on Place Value
Comparing Numbers Using Symbols
Skip Counting by Twos Fives & Tens
10 More & 10 Less
Personal Financial Literacy & Money
Identifying Coins
Writing the Cent Symbol
Using Skip Counting with Coins
Earning Income
Identifying Income as Goods & Services
Spending & Saving
Charitable Giving
Second Grade
Big Ideas & Topics
Data Analysis & Graphing
Explaining Bar Length & Number of Pictures Represent Data Points
Organizing Data Using Pictographs & Bar Graphs
Writing & Solving One-Step Problems from Pictographs & Bar Graphs
Drawing Conclusions & Making Predictions from Graphs
Geometry
Creating Two-Dimensional Shapes
Classifying & Sorting Three-Dimensional Solids
Classifying & Sorting Polygons
Composing Two-Dimensional Shapes & Three-Dimensional Solids Based on Attributes or Properties
Decomposing Two-Dimensional Shapes
Measurement
Finding the Length Using Standard Units of Length
Describing the Inverse Relationship Between the Size and Numbers of Units
Representing Whole Numbers as Distances on a Number Line
Determining the Length Using Measuring Tools
Determining & Estimating Lengths in a Problem
Finding the Area of a Rectangle Using Models
Reading & Writing Time to the Nearest Minute
Number Operations
Basic Addition & Subtraction Facts
Adding Four Two-Digit Numbers & Subtracting Two-Digit Numbers
Solving Problems Involving Addition & Subtraction with 1 000
Generating & Solving Problems when Given a Number Sentence
Modeling Creating & Describing Contextual Multiplication Situations
Modeling Creating & Describing Contextual Division Situations
Determining Odd & Even Using Objects
10 More or Less Than a Given Number up to 1 200
Representing & Solving Addition & Subtraction Problems with Unknown Terms
Number Relationships
Concrete & Pictorial Models to Compose & Decompose Numbers to 1 200
Standard Word & Expanded Forms to 1 200
Generating a Number Greater or Less Than a Given Number
Comparing & Ordering Numbers to 1 200
Locating a Given Point on a Number Line
Naming a Whole Number on a Number Line
Partitioning Objects into Equal Parts
Explaining the Number of Fractional Parts Used Determines the Size of Fractional Parts
Using Models to Count Fractional Parts Beyond One Whole
Identifying Examples and Non-Examples of Halves Fourths & Eighths
Personal Financial Literacy
Determining the Value of a Collection of Coins
Using the Cent Symbol Dollar Sign & Decimal Point
Calculating Money Saved Over Time
Savings vs Spending
Differences in a Deposit & a Withdrawal
Responsible & Irresponsible Borrowing
Lending & Decisions to Lend to Others
Differences in Producers & Consumers
Third Grade
Big Ideas & Topics
Data Analysis
Summarizing a Data Set with Multiple Categories
Solving One- & Two-Step Problems from a Frequency Table Dot Plot Pictograph or Bar Graph
Geometry
Classifying & Sorting Two- & Three-Dimensional Figures
Using Attributes to Recognize Rhombuses Parallelograms Trapezoids Rectangles & Squares
Determining the Area of Rectangles Using Multiplication
Decomposing Composite Figures Formed by Rectangles
Decomposing Two Congruent Two-Dimensional Figures into Parts with Equal Areas
Measurement
Determining the Perimeter of a Polygon
Adding & Subtracting Intervals of Time in Minutes
Using Measurements of Liquid Volume or Weight
Determining Liquid Volume or Weight Using Appropriate Units & Tools
Number Operations
Solving One- & Two-Step Addition & Subtraction Problems within 1 000
Rounding to the Nearest 10 or 100 Using Compatible Numbers
Determining Objects in Equally Sized Groups in Arrays up to 10 by 10
Multiplication Facts using a Variety of Strategies
Recalling Multiplication & Division Facts up to 10 by 10
Multiplying a Two-Digit Number by a One-Digit Number Using Strategies & Algorithms
Partitioning into Equal Shares & Sharing Equally
Determining the Quotient
Solving One- & Two-Step Multiplication & Division Problems within 100
Representing One- & Two-Step Addition & Subtraction Problems within 1 000
Representing & Solving One- & Two-Step Multiplication & Division Problems within 100
Describing a Multiplication Expression as a Comparison
Determining an Unknown in a Multiplication or Division Equation
Representing Real-World Relationships Using Number Pairs in a Table
Number Relationships
Composing & Decomposing Numbers up to 100 000 including Expanded Notation
Describing Base 10 Relationships through the 100 000 Place
Representing a Number on a Number Line with Two Consecutive Multiples
Comparing & Ordering Numbers to 100 000 using Comparison Symbols
Representing Fractions Greater Than Zero
Determining the Corresponding Fractions Using a Number Line
Explaining a Unit Fraction
Composing & Decomposing a Fraction
Partitioning an Object or Set of Objects Using Pictorial Representations
Representing Equivalent Fractions with Denominators of 2 3 4 6 and 8
Explaining Two Fractions are Equivalent Using a Number Line or an Area Model
Comparing Two Fractions Having the Same Numerator or Denominator
Determining If a Number is Odd or Even
Representing Fractions of Halves Fourths & Eighths on a Number Line
Personal Financial Literacy
Determining the Value of a Collection of Coins and Bills
Human Capital & Income
Describing Availability & Scarcity of Resources
Planned & Unplanned Spending
Using of Credit
Savings & Benefits to Saving
Identifying Income Spending Saving & Charitable Giving
Fourth Grade
Big Ideas & Topics
Data Analysis & Graphing
Representing Data
Solving Problems Using Data
Geometry
Identifying Points Lines Line Segments Rays & Angles
Lines of Symmetry
Acute Right & Obtuse Triangles
Classifying Two-dimensional Figures Based on Lines & Angles
Angle Measures of Circles
Measure Angles of Circles Using Degrees
Using a Protractor to Determine Measures of Angles
Drawing an Angle with a Given Measure
Determining the Measures of Unknown Angles
Measurement
Models for Formulas of Perimeter & Area of Rectangles
Solving Problems Related to Perimeter & Area
Relative Sizes of Units in Customary & Metric Systems
Converting Measurements within the Same Measurement System
Solving Problems Related to Time Length Liquid Volume Mass & Money
Number Operations
Representing & Solving Adding & Subtracting Fractions
Reasonable Sums & Differences Using Benchmark Fractions
Adding & Subtracting Whole Numbers & Decimals
Multiplying by 10 or 100
Multiplying a Two-digit Number by a Two-digit Number
Multiplying a Four-Digit Number by a One-digit Number & 2 Two-Digit Numbers
Dividing a Four-digit Number by a One-digit Number
Using Strategies & Algorithms to Divide up to a Four-digit Dividend by a One-digit Divisor
Rounding & Using Compatible Numbers
Multiplication & Division One- & Two-Step Problems
Representing Multi-Step Problems with Unknowns
Representing Problems Using Input-Output Tables & Numerical Expressions
Number Relationships
Value of Place-value Positions
Value of the Digit in Whole Numbers & Decimals
Comparing & Ordering Whole Numbers Using Symbols
Rounding Whole Numbers to the Hundred Thousands Place
Representing Decimals to the Hundredths Place
Comparing & Ordering Decimals to the Hundredths
Relating Decimals to Fractions
Determining Decimals Using a Number Line
Representing Fractions as a Sum of Fractions
Decomposing Fractions with the Same Denominator
Determining Equivalent Fractions
Comparing Fractions with Different Numerators & Denominators
Representing Decimals & Fractions on a Number Line
Personal Financial Literacy
Fixed & Variable Expenses
Calculating Profit
Comparing Various Savings Options
Allocating Weekly Allowance
Purposes of Financial Institutions
Fifth Grade
Big Ideas & Topics
Data Analysis & Graphing
Representing Categorical & Numerical Data
Representing Data on a Scatterplot
Solving One- & Two-Step Problems using Data from Graphs & Plots
Geometry & Measurement
Volume of Rectangular Prisms & Cubes
Representing & Solving Problems Involving Area Perimeter & Volume
Classifying Two-Dimensional Figures Based on Attributes & Properties
Recognizing a Unit Cube Related to Volume
Determining Volume of a Rectangular Prism
Conversions within Customary & Metric Systems
Describing Attributes of a Coordinate Plane
Graphing Ordered Pairs on a Coordinate Plane
Graphing in the First Quadrant using Ordered Pairs of Numbers
Number Operations
Estimating Solutions Involving the Four Operations
Multiplying a Three-Digit Number by a Two-Digit Number
Quotients up to a Four-Digit Dividend by a Two-Digit Divisor
Multiplying Decimals to the Hundredths
Products of Decimals to the Hundredths Including Money
Quotients of Decimals Involving Four-Digit Dividends and Two-Digit Divisors
Solving Quotients of Decimals Involving Four-Digit Dividends and Two-Digit Divisors Using Algorithm
Adding & Subtracting Fractions with Unlike Denominators
Multiplying a Whole Number by a Fraction
Dividing Unit Fractions using Pictorial Models
Adding & Subtracting Positive Rational Numbers
Dividing Whole Numbers & Unit Fractions
Solving Multi-Step Problems Involving the Four Operations
Generating a Numerical Pattern When Given a Rule
Differences in Additive & Multiplicative Patterns in Tables & Graphs
Number Relationships
Representing Decimal Values to the Thousandths
Comparing & Ordering Decimals to the Thousandths
Rounding Decimals
Identifying Prime & Composite Numbers
Parentheses & Brackets in an Numeric Expression
Simplifying Numerical Expressions without Exponents
Personal Financial Literacy
Defining Income Payroll Sales & Property Taxes
Differences Between Gross & Net Incomes
Advantages & Disadvantages of Different Payment Methods
System for Keeping Financial Records
Actions to Take When Expenses Exceed Income
Balancing a Simple Budget
Sixth Grade
Big Ideas & Topics
Data Analysis & Graphing
Representing Numeric Data
Center Spread & Shape of Data Distribution
Mean Median Range & Interquartile Range
Mode Relative Frequency Table & Percent Bar Graph
Summarized Data in Dot Plots Stem-and-leaf Plots Histograms & Box Plots
Data With and Without Variability
Geometry & Measurement
Converting Units Within a Measurement System
Sums of Angles of a Triangle including Length of Sides & Measures of Angles
Area Formulas for Parallelograms Trapezoids & Triangles
Area Equations of Rectangles Parallelograms Trapezoids & Triangles & Volume of Rectangular Prisms
Solutions for Area of Rectangles Parallelograms Trapezoids & Triangles
Graphing Using Ordered Pairs
Number Operations
6 3A
6 3B
Integer Operations with Models & Algorithms
Adding Subtracting Multiplying & Dividing Integers
Multiplying & Dividing Positive Rational Numbers
Comparing Additive & Multiplicative Relationships
Predicting & Comparing Ratios & Rates
Rates & Ratios with Scale Factors Tables Graphs & Proportions
Finding the Part the Whole & the Percent
Independent & Dependent Quantities from Tables & Graphs
Relationship Between Independent and Dependent Quantities
y kx or y x b using Verbal Descriptions Tables Graphs & Equations
One-Variable One-Step Equations & Inequalities
Number Lines with One-Variable One-Step Equations & Inequalities
Writing Problems with One-Variable One-Step Equations or Inequalities
Geometric Concepts with One-Variable One-Step Equations or Inequalities
Determine if Values Make One-Variable One-Step Equations or Inequalities True
Number Relationships
Classifying Whole Numbers Integers & Rational Numbers
Identifying Absolute Value
Comparing & Ordering Integers and Rational Numbers
Ordering a Set of Rational Numbers
Representations of Division including Fraction Notation
Ratios as Multiplicative Comparisons
Rates as Quotients
Representing Ratios & Percents
Representing Benchmark Fractions using a Variety of Representations
Generating Equivalent Forms of Fractions Decimals & Percents
Using Equivalent Fractions Decimals & Percents to Show Parts of a Whole
Generating Numerical Expressions Using the Order of Operations
Distinguishing Between Expressions & Equations
Equivalent Expressions using a Variety of Representations
Equivalent Expressions using Properties of Operations
Personal Financial Literacy
Features & Costs of Checking Account & Debit Card
Differences Between Debit Cards & Credit Cards
6 14C
Establishing a Positive Credit History
Information on a Credit Report
Value of a Credit Report
Various Methods to Pay for College
Annual Salaries of Several Occupations
Seventh Grade
Big Ideas & Topics
Data Analysis & Graphing
Solving Problems with Bar Graphs Dot Plots & Circle Graphs
Comparing Data with Dot Plots & Box Plots
Inferences Based on Data from Random Samples
Comparing Populations Based on Random Samples
Geometry & Measurement
Converting Between Measurement Systems
Attributes of Similar Shapes
Describing Pi
Similar Shape and Scale Drawings
Relationship Between Volume of a Rectangular Prism & Rectangular Pyramid
Relationships in Volume Between Triangular Prisms and Pyramids
Approximate Formulas for Circumference & Area of a Circle
Volume of Rectangular Prisms Triangular Prisms Rectangular Pyramids & Triangular Pyramids
Circumference & Area of Circles
Area of Composite Figures
Lateral & Total Surface Area Using Nets
Writing & Solving Equations Using Geometry Concepts
Number Operations
Adding Subtracting Multiplying & Dividing Rational Numbers
Solving Problems Involving Rational Numbers
Constant Rates of Change
Calculating Unit Rates
Constant of Proportionality
Rates Ratios & Percents
Representing Linear Relationships
One-Variable Two-Step Equations & Inequalities
Using Number Lines with One-Variable Two-Step Equations & Inequalities
Corresponding Real-world Problems to One-Variable Two-Step Equations & Inequalities
Modeling & Solving One-Variable Two-Step Equations & Inequalities
Given Values in One-Variable Two-Step Equations & Inequalities
Personal Financial Literacy
Calculating Sales & Income Taxes
Identifying Components of a Personal Budget
Creating & Organizing Financial Assets & Liabilities Records
Using a Family Budget Estimator
Calculating & Comparing Simple & Compound Interest Earnings
Analyzing & Comparing Monetary Incentives
Probability Number Relationships
Relationships Between Sets of Rational Numbers
Simple & Compound Events Using Lists & Tree Diagrams
Using Simulations to Represent Simple & Compound Events
Predictions & Solutions Using Experimental Data
Predictions & Solutions Involving Theoretical Probability
Probabilities of Simple Events
Inferences Using Random Population Samplings
Using Qualitative & Quantitative Predictions & Comparisons to Solve Problems
Experimental & Theoretical Probabilities Using Data & Sample Spaces
Eighth Grade
Data Analysis & Graphing
Bivariate Sets of Data
Using Trend Lines with Bivariate Sets of Data
Scatterplots with Linear Non-linear & No Associations
Determining the Mean Absolute Deviation
Generating Random Samples of Populations
Geometry & Measurement
Ratios of Corresponding Sides
Attributes of Shapes & Dilations on a Coordinate Plane
Effect of Positive Rational Scale Factor
Describing the Volume Formula of a Cylinder
Relationship Between the Volume of a Cylinder & a Cone
Using Models & Diagrams to Explain the Pythagorean Theorem
Volume of Cylinders Cones & Spheres
Lateral & Total Surface Area Involving Rectangular Prisms Triangular Prisms & Cylinders
Using the Pythagorean Theorem
Determining Distance using the Pythagorean Theorem
Angle Sum & Exterior Angles of Triangles
Properties of Orientation & Congruence on a Coordinate Plane
Differentiate between Transformations
Effects of Translations Reflections & Rotations on a Coordinate Plane
Modeling Linear & Area Measurements
Number Computations
Using Right Triangles to Develop Understanding of Slope
Graphing Proportional Relationships
Using Data to Determine the Slope & y-Intercept
Representing Linear Proportional Situations
Representing Linear Non-Proportional Situations
Solving Problems Involving Direct Variation
Distinguishing Between Proportional & Non-Proportional Situations
Identifying Functions
Identifying Examples of Proportional & Non-Proportional Functions
Using y mx b to Model Linear Relationships
Writing One-Variable Equations & Inequalities
Writing Real-World Problems Given an Equation or Inequality
Modeling & Solving One-Variable Equations
Identifying & Verifying the Values of x & y
Number Relationships
Relationships Between Sets of Numbers
Approximating the Value of Irrational Numbers
Standard Decimal Notation & Scientific Notation
Ordering a Set of Real Numbers
Personal Financial Literacy
Comparing Interest Rates & Loan Length
Calculating the Cost of Repaying a Loan
Investing Regularly
Calculate & Compare Simple & Compound Interest Earnings
Advantages & Disadvantages of Various Payment Methods
Analyzing Financial Responsible Decisions
Estimating Costs of a College Education
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