This is a list of all Virtual Nerd tutorials in Texas Digits Skills and Standards, organized by topic.

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### Texas Digits Grade 6

#### acquire and demonstrate mathematical understanding

##### apply mathematics to problems arising in everyday life, society, and the workplace

- How Do You Convert Gallons to Pints?
- How Do You Find the Surface Area of a Pyramid Using a Net?
- demo1
- How Do You Find the Surface Area of a Rectangular Prism Using a Net?
- How Do You Use an Equation to Find a Part of a Whole?
- What is a Line Plot?
- What's a Percent?
- How Do You Evaluate an Algebraic Expression with One Variable?
- What Does It Mean to Divide Fractions?
- How Do You Find the Area of a Rectangle?

##### use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution

- How Do You Solve an Equation Using Division?
- What Does It Mean to Divide Fractions?
- How Do You Solve an Equation Using Addition?
- How Do You Multiply Mixed Numbers?
- What is the Associative Property of Addition?
- What is a Solution to an Inequality?
- How Do You Multiply Decimals?
- demo1
- How Do You Use an Equation to Find a Part of a Whole?
- How Do You Divide a Decimal by a Decimal?
- How Do You Multiply A Whole Number By A Fraction?

##### select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems

- How Do You Multiply Decimals?
- How Do You Determine Whether a Triangle Can Be Formed Given Three Side Lengths?
- How Do You Compare Integers Using a Number Line?
- How Do You Represent Real World Situations Using Integers?
- demo1
- How Do You Use an Equation to Find a Part of a Whole?
- How Do You Divide a Decimal by a Decimal?
- How Do You Turn a Fraction Into a Terminating Decimal?
- What is an Equation?
- How Do You Divide Fractions?
- How Do You Multiply A Whole Number By A Fraction?
- How Do You Figure Out the Sign of a Product or Quotient?
- What's the Order of Operations?
- What Does Absolute Value Mean?
- How Do You Solve an Equation Using Division?
- How Do You Find the Area of a Rectangle in the Coordinate Plane?
- How Do You Find the Surface Area of a Pyramid Using a Net?
- What Does It Mean to Divide Fractions?
- How Do You Solve an Equation Using Addition?
- How Do You Find the Range of a Data Set?
- How Do You Put Fractions and Decimals in Order?
- How Do You Add Two Negative Numbers?
- How Do You Multiply Mixed Numbers?
- How Do You Write the Prime Factorization of a Number Using Exponents?
- How Do You Find the Surface Area of a Rectangular Prism Using a Net?
- How Do You Identify Points on a Graph?
- How Do You Find the Mean of a Data Set?
- How Do You Rewrite Subtraction as Addition?
- What is a Solution to an Inequality?
- How Do You Evaluate an Algebraic Expression with One Variable?

##### communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate

- How Do You Find the Range of a Data Set?
- How Do You Put Fractions and Decimals in Order?
- What is the Triangle Sum Theorem?
- What is the Interquartile Range?
- What are the Identity Properties of Addition and Multiplication?
- How Do You Add Two Negative Numbers?
- How Do You Multiply Mixed Numbers?
- How Do You Use Addition to Solve an Inequality Word Problem?
- What is the Commutative Property of Addition?
- How Do You Find the Area of a Rectangle?
- How Do You Write the Prime Factorization of a Number Using Exponents?
- How Do You Find the Surface Area of a Rectangular Prism Using a Net?
- What's an Inequality?
- How Do You Identify Points on a Graph?
- What Are Dependent and Independent Variables?
- How Do You Find the Mean of a Data Set?
- How Do You Rewrite Subtraction as Addition?
- What is a Solution to an Inequality?
- What's a Ratio?
- How Do You Graph a Relationship Between Two Variables?
- How Do You Graph a Rectangle on a Coordinate Plane?
- What is a Stem-And-Leaf Plot?
- What's a Rational Number?
- How Do You Put the Sides of a Triangle in Order According to Size if You Know Two Angles of the Triangle?
- How Do You Determine Whether a Triangle Can Be Formed Given Three Side Lengths?
- How Do You Find Percents Mentally Using Fractions?
- What is a Histogram?
- How Do You Compare Integers Using a Number Line?
- How Do You Represent Real World Situations Using Integers?
- What are Rates and Unit Rates?
- How Do You Find Equivalent Ratios by Making a Table?
- What is the Distributive Property?
- demo1
- How Do You Use an Equation to Find a Part of a Whole?
- How Do You Divide a Decimal by a Decimal?
- How Do You Turn a Fraction Into a Terminating Decimal?
- What is an Equation?
- What is a Box-and-Whisker Plot?
- How Do You Write a Rule for a Table?
- How Do You Divide Fractions?
- How Do You Multiply A Whole Number By A Fraction?
- What is a Line Plot?
- How Do You Figure Out the Sign of a Product or Quotient?
- What is the Associative Property of Addition?
- What's a Percent?
- What's the Order of Operations?
- What is the Mode of a Data Set?
- What Does Absolute Value Mean?
- How Do You Find the Area of a Rectangle in the Coordinate Plane?

##### create and use representations to organize, record, and communicate mathematical ideas

- How Do You Find Equivalent Ratios by Making a Table?
- demo1
- How Do You Use an Equation to Find a Part of a Whole?
- How Do You Turn a Fraction Into a Terminating Decimal?
- What is a Box-and-Whisker Plot?
- How Do You Write a Rule for a Table?
- What is a Line Plot?
- What's a Percent?
- What is the Mode of a Data Set?
- How Do You Find Equivalent Ratios?
- How Do You Put Fractions and Decimals in Order?
- What is the Triangle Sum Theorem?
- What are the Identity Properties of Addition and Multiplication?
- How Do You Find the Area of a Rectangle?
- What's a Ratio?
- How Do You Graph a Relationship Between Two Variables?
- What Are Numerical and Algebraic Expressions?
- What is a Stem-And-Leaf Plot?
- How Do You Solve an Equation Using Addition?
- How Do You Find Percents Mentally Using Fractions?
- What is a Histogram?
- What are Equivalent Ratios?

##### analyze mathematical relationships to connect and communicate mathematical ideas

- How Do You Represent Real World Situations Using Integers?
- What are Rates and Unit Rates?
- How Do You Find the Area of a Rectangle?
- How Do You Find the Area of a Triangle?
- What is the Formula for the Area of a Parallelogram?
- What's a Ratio?
- What is the Formula for the Volume of a Prism?
- How Do You Graph a Relationship Between Two Variables?
- How Do You Graph a Rectangle on a Coordinate Plane?
- How Do You Multiply A Whole Number By A Fraction?
- What is a Stem-And-Leaf Plot?
- How Do You Solve an Equation Using Addition?
- What are Equivalent Ratios?
- How Do You Find the Range of a Data Set?
- What is the Interquartile Range?
- demo1
- How Do You Use an Equation to Find a Part of a Whole?
- How Do You Turn a Fraction Into a Terminating Decimal?
- How Do You Find the Surface Area of a Rectangular Prism Using a Net?
- How Do You Write a Rule for a Table?
- What is the Mode of a Data Set?
- What is the Formula for the Area of a Trapezoid?
- How Do You Find Equivalent Ratios?
- What is the Formula for the Area of a Triangle?
- How Do You Find the Area of a Rectangle in the Coordinate Plane?
- How Do You Put Fractions and Decimals in Order?
- What is the Triangle Sum Theorem?
- How Do You Solve an Equation Using Division?
- What are the Identity Properties of Addition and Multiplication?
- How Do You Put the Sides of a Triangle in Order According to Size if You Know Two Angles of the Triangle?
- How Do You Find the Surface Area of a Pyramid Using a Net?

##### display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication.

- How Do You Use an Equation to Find a Part of a Whole?
- How Do You Turn a Fraction Into a Terminating Decimal?
- What is an Equation?
- How Do You Find Equivalent Ratios?
- How Do You Figure Out the Sign of a Product or Quotient?
- What Are Numerical and Algebraic Expressions?
- What is the Associative Property of Addition?
- What's the Order of Operations?
- What is the Triangle Sum Theorem?
- How Do You Put the Sides of a Triangle in Order According to Size if You Know Two Angles of the Triangle?
- How Do You Find the Surface Area of a Pyramid Using a Net?
- What are Rates and Unit Rates?
- How Do You Find the Area of a Rectangle?
- How Do You Find the Area of a Triangle?
- How Do You Multiply Mixed Numbers?
- What is the Commutative Property of Addition?
- How Do You Write the Prime Factorization of a Number Using Exponents?
- What's an Inequality?
- What's a Ratio?
- What is a Box-and-Whisker Plot?
- What is the Formula for the Volume of a Prism?
- What is a Line Plot?
- What's a Percent?
- What is a Stem-And-Leaf Plot?
- What are Equivalent Ratios?
- How Do You Find the Range of a Data Set?
- What is the Interquartile Range?
- demo1
- How Do You Find Equivalent Ratios by Making a Table?

#### represent and use rational numbers in a variety of forms

##### classify whole numbers, integers, and rational numbers using a visual representation such as a Venn diagram to describe relationships between sets of numbers

##### identify a number, its opposite, and its absolute value

##### locate, compare, and order integers and rational numbers using a number line

##### order a set of rational numbers arising from mathematical and realworld contexts

##### extend representations for division to include fraction notation such as a/b represents the same number as a รท b where b does not equal 0

##### multiply and divide positive rational numbers fluently

- How Do You Multiply Mixed Numbers?
- How Do You Divide a Decimal by a Decimal?
- How Do You Divide Fractions?
- How Do You Turn a Fraction Into a Terminating Decimal?
- demo1
- What Does It Mean to Divide Fractions?
- How Do You Multiply A Whole Number By A Fraction?
- How Do You Solve an Equation Using Division?
- How Do You Multiply Decimals?

#### represent addition, subtraction, multiplication, and division while solving problems and justifying solutions

##### recognize that dividing by a rational number and multiplying by its reciprocal result in equivalent values

##### determine, with and without computation, whether a quantity is increased or decreased when multiplied by a fraction, including values greater than or less than one

##### represent integer operations with concrete models and connect the actions with the models to standardized algorithms

##### add, subtract, multiply, and divide integers fluently

- How Do You Write the Prime Factorization of a Number Using Exponents?
- How Do You Figure Out the Sign of a Product or Quotient?
- How Do You Rewrite Subtraction as Addition?
- How Do You Evaluate an Algebraic Expression with One Variable?
- demo1
- What's the Order of Operations?
- How Do You Add Two Negative Numbers?

#### develop an understanding of proportional relationships in problem situations

##### compare two rules verbally, numerically, graphically, and symbolically in the form of y = ax or y = x + a in order to differentiate between additive and multiplicative relationships

##### apply qualitative and quantitative reasoning to solve prediction and comparison of real-world problems involving ratios and rates

##### give examples of ratios as multiplicative comparisons of two quantities describing the same attribute

##### give examples of rates as the comparison by division of two quantities having different attributes, including rates as quotients

##### represent ratios and percents with concrete models, fractions, and decimals

##### represent benchmark fractions and percents such as 1%, 10%, 25%, 33 1/3%, and multiples of these values using 10 by 10 grids, strip diagrams, number lines, and numbers

##### generate equivalent forms of fractions, decimals, and percents using real-world problems, including problems that involve money

##### convert units within a measurement system, including the use of proportions and unit rates.

#### solve problems involving proportional relationships

##### represent mathematical and real-world problems involving ratios and rates using scale factors, tables, graphs, and proportions

##### solve real-world problems to find the whole given a part and the percent, to find the part given the whole and the percent, and to find the percent given the part and the whole, including the use of concrete and pictorial models

##### use equivalent fractions, decimals, and percents to show equal parts of the same whole.

#### use multiple representations to describe algebraic relationships

##### identify independent and dependent quantities from tables and graphs

##### write an equation that represents the relationship between independent and dependent quantities from a table

##### represent a given situation using verbal descriptions, tables, graphs, and equations in the form y = kx or y = x + b.

- What Are Dependent and Independent Variables?
- How Do You Translate a Phrase with One Variable and Number Into a Mathematical Expression?
- What are the Identity Properties of Addition and Multiplication?
- demo1
- How Do You Graph a Relationship Between Two Variables?
- What Are Numerical and Algebraic Expressions?
- How Do You Write a Rule for a Table?

#### develop concepts of expressions and equations

##### generate equivalent numerical expressions using order of operations, including whole number exponents and prime factorization

##### distinguish between expressions and equations verbally, numerically, and algebraically

##### determine if two expressions are equivalent using concrete models, pictorial models, and algebraic representations

##### generate equivalent expressions using the properties of operations: inverse, identity, commutative, associative, and distributive properties.

- What is the Distributive Property?
- What is the Associative Property of Addition?
- demo1
- How Do You Add Two Negative Numbers?
- What is an Equation?
- What are the Identity Properties of Addition and Multiplication?
- How Do You Turn a Fraction Into a Terminating Decimal?
- What Does It Mean to Divide Fractions?
- What is the Commutative Property of Addition?
- How Do You Represent Real World Situations Using Integers?

#### use geometry to represent relationships and solve problems

##### extend previous knowledge of triangles and their properties to include the sum of angles of a triangle, the relationship between the lengths of sides and measures of angles in a triangle, and determining when three lengths form a triangle

##### model area formulas for parallelograms, trapezoids, and triangles by decomposing and rearranging parts of these shapes

##### write equations that represent problems related to the area of rectangles, parallelograms, trapezoids, and triangles and volume of right rectangular prisms where dimensions are positive rational numbers

##### determine solutions for problems involving the area of rectangles, parallelograms, trapezoids, and triangles and volume of right rectangular prisms where dimensions are positive rational numbers.

- demo1
- What is the Formula for the Area of a Parallelogram?
- What Does It Mean to Divide Fractions?
- How Do You Find the Area of a Rectangle?
- What is the Formula for the Area of a Triangle?
- How Do You Multiply Decimals?
- What is the Formula for the Volume of a Prism?
- How Do You Multiply A Whole Number By A Fraction?
- What is the Formula for the Area of a Trapezoid?
- How Do You Find the Area of a Triangle?
- How Do You Multiply Mixed Numbers?

#### use equations and inequalities to represent situations

##### write one-variable, one-step equations and inequalities to represent constraints or conditions within problems

- What's an Inequality?
- How Do You Translate a Phrase with One Variable and Number Into a Mathematical Expression?
- What is the Triangle Sum Theorem?
- demo1
- How Do You Use Addition to Solve an Inequality Word Problem?
- How Do You Find the Area of a Rectangle?
- How Do You Determine Whether a Triangle Can Be Formed Given Three Side Lengths?

##### represent solutions for one-variable, one-step equations and inequalities on number lines

##### write corresponding real-world problems given one-variable, onestep equations or inequalities.

#### use equations and inequalities to solve problems

##### model and solve one-variable, one-step equations and inequalities that represent problems, including geometric concepts

- What is a Solution to an Inequality?
- How Do You Find the Area of a Rectangle?
- How Do You Solve an Equation Using Addition?
- How Do You Solve an Equation Using Division?
- How Do You Use Addition to Solve an Inequality Word Problem?
- What is the Triangle Sum Theorem?
- How Do You Determine Whether a Triangle Can Be Formed Given Three Side Lengths?
- demo1

##### determine if the given value(s) make(s) one-variable, one-step equations or inequalities true.

#### use coordinate geometry to identify locations on a plane

#### use numerical or graphical representations to analyze problems

##### represent numeric data graphically, including dot plots, stem-andleaf plots, histograms, and box plots

##### use the graphical representation of numeric data to describe the center, spread, and shape of the data distribution

##### summarize numeric data with numerical summaries, including the mean and median (measures of center) and the range and interquartile range (IQR) (measures of spread), and use these summaries to describe the center, spread, and shape of the data distribution

##### summarize categorical data with numerical and graphical summaries, including the mode, the percent of values in each category (relative frequency table), and the percent bar graph, and use these summaries to describe the data distribution.

#### use numerical or graphical representations to solve problems

### Texas Digits Grade 7

#### acquire and demonstrate mathematical understanding

##### apply mathematics to problems arising in everyday life, society, and the workplace

- How Do You Find the Mean of a Data Set?
- What's the Direct Variation or Direct Proportionality Formula?
- How Do You Figure Out How Much Something is Marked Down?
- What is an Unbiased Sample?
- What is a Scale Drawing?
- How Do You Figure Out Sales Tax?
- What is the Formula for Simple Interest?
- What is the Distributive Property?
- How Do You Find the Area of a Composite Figure?
- What are Similar Figures?
- What's the Formula Connecting Distance, Speed, and Time?
- What are Like Terms?
- What is the Formula for Compound Interest?
- How Do You Convert a Temperature from Fahrenheit to Celsius?
- How Do You Solve a Two-Step Equation by Distributing a Fraction First?
- demo1
- How Do You Use a Sample to Make Predictions About a Population?
- How Do You Figure Out a Price Markup?
- What is a Net?
- How Do You Write an Equation From a Word Problem?
- What's a Percent of Change?

##### use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution

- How Do You Find the Surface Area of a Rectangular Prism Using a Net?
- What's the Formula Connecting Distance, Speed, and Time?
- How Do You Convert Yards to Meters?
- demo1
- How Do You Solve a Two-Step Inequality?
- How Do You Solve a One-Step Inequality Using Subtraction?
- What is the Formula for the Volume of a Prism?

##### select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems

- What are Supplementary Angles?
- What is Circumference?
- How Do You Solve a Two-Step Equation?
- What is a Simulation?
- How Do You Solve an Equation Using Addition?
- How Do You Convert a Temperature from Fahrenheit to Celsius?
- What is a Circle?
- What are Rates and Unit Rates?
- How Do You Solve a One-Step Inequality Using Subtraction?
- What is the Formula for the Volume of a Pyramid?
- How Do You Find the Probability of a Simple Event?
- How Do You Use a Sample to Make Predictions About a Population?
- What's a Percent of Change?
- What is the Formula for the Volume of a Prism?
- How Do You Find the Surface Area of a Rectangular Prism Using a Net?
- What is the Formula for the Area of a Circle?
- What's the Formula Connecting Distance, Speed, and Time?
- How Do You Figure Out the Sign of a Product or Quotient?
- What are Equivalent Ratios?
- How Do You Rewrite Subtraction as Addition?
- What is an Unbiased Sample?
- How Do You Convert Yards to Meters?
- What's a Rational Number?
- demo1
- How Do You Solve a Two-Step Inequality?
- How Do You Add Two Negative Numbers?
- What are Acute, Obtuse, Right, and Straight Angles?
- How Do You Find the Surface Area of a Pyramid Using a Net?
- How Do You Use a Simulation to Solve a Problem?
- What is Experimental Probability?
- What is the Distributive Property?
- How Do You Find the Area of a Composite Figure?

##### communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate

- What's the Formula Connecting Distance, Speed, and Time?
- How Do You Figure Out the Sign of a Product or Quotient?
- What are Similar Figures?
- What are Equivalent Ratios?
- How Do You Rewrite Subtraction as Addition?
- What is an Unbiased Sample?
- What's a Rational Number?
- What are Vertical Angles?
- What's the Constant of Variation?
- What are Like Terms?
- What is the Formula for Compound Interest?
- demo1
- How Do You Solve a Two-Step Inequality?
- How Do You Solve a Two-Step Equation by Distributing a Fraction First?
- How Do You Add Two Negative Numbers?
- What is Experimental Probability?
- What is the Distributive Property?
- How Do You Find the Area of a Composite Figure?
- How Do You Find the Rate of Change Between Two Points on a Graph?
- What is Probability?
- What is a Net?
- How Do You Find a Missing Angle in a Right Triangle?
- How Do You Write an Equation From a Word Problem?
- How Do You Solve and Graph a Two-Step Inequality?
- What is the Percent Equation?
- What is a Sample Space?
- What is Circumference?
- What's the Y-Intercept?
- What's the Direct Variation or Direct Proportionality Formula?
- What are Rates and Unit Rates?
- What are Compound Events?
- What is a Scale Drawing?
- How Do You Solve a One-Step Inequality Using Subtraction?
- How Do You Find the Probability of a Simple Event?
- What are Complementary Angles?
- How Do You Use a Sample to Make Predictions About a Population?
- What is a Circle Graph?
- How Do You Graph a Linear Equation by Making a Table?
- How Do You Determine Which Operations to Use in a Word Problem?
- What's a Percent of Change?
- What is the Formula for Simple Interest?
- What is the Formula for the Area of a Circle?

##### create and use representations to organize, record, and communicate mathematical ideas

- What's the Direct Variation or Direct Proportionality Formula?
- What are Acute, Obtuse, Right, and Straight Angles?
- What are Complementary Angles?
- How Do You Graph a Linear Equation by Making a Table?
- What is the Fundamental Counting Principle?
- What are Adjacent Angles?
- How Do You Compare Two Data Sets Using Box-and-Whisker Plots?
- How Do You Use a Tree Diagram to Count the Number of Outcomes in a Sample Space?
- What are Supplementary Angles?
- How Do You Find the Probability of Independent Events?
- How Do You Figure Out the Sign of a Product or Quotient?
- What is an Unbiased Sample?
- What are Vertical Angles?
- What is a Simulation?
- What's the Constant of Variation?
- What is the Formula for Compound Interest?
- demo1
- What is a Circle?
- What is a Net?
- How Do You Find a Missing Angle in a Right Triangle?
- What is the Distributive Property?
- How Do You Find the Surface Area of a Rectangular Prism Using a Net?
- How Do You Solve a Two-Step Equation by Distributing a Fraction First?

##### analyze mathematical relationships to connect and communicate mathematical ideas

- demo1
- What are Compound Events?
- How Do You Find the Probability of a Simple Event?
- How Do You Use a Sample to Make Predictions About a Population?
- What is a Circle Graph?
- How Do You Use a Simulation to Solve a Problem?
- How Do You Determine Which Operations to Use in a Word Problem?
- How Do You Find a Missing Angle in a Right Triangle?
- What is the Distributive Property?
- What is the Formula for Simple Interest?
- What is the Formula for the Area of a Circle?
- What is a Simulation?
- What are Similar Figures?
- How Do You Convert a Temperature from Fahrenheit to Celsius?
- How Do You Graph a Linear Equation by Making a Table?
- What is the Fundamental Counting Principle?
- What is the Formula for the Volume of a Pyramid?
- How Do You Compare Two Data Sets Using Box-and-Whisker Plots?
- What is Experimental Probability?
- How Do You Use a Tree Diagram to Count the Number of Outcomes in a Sample Space?
- How Do You Find the Area of a Composite Figure?
- How Do You Find the Rate of Change Between Two Points on a Graph?
- What is Probability?
- What is the Formula for the Volume of a Prism?
- What is the Percent Equation?
- How Do You Find the Probability of Independent Events?
- What is a Sample Space?
- What is Circumference?
- What is an Unbiased Sample?
- What's the Y-Intercept?

##### display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication

- What are Vertical Angles?
- What's the Constant of Variation?
- What is the Formula for Compound Interest?
- What are Rates and Unit Rates?
- What is a Scale Drawing?
- How Do You Compare Two Data Sets Using Box-and-Whisker Plots?
- What is Experimental Probability?
- How Do You Use a Tree Diagram to Count the Number of Outcomes in a Sample Space?
- How Do You Find the Area of a Composite Figure?
- How Do You Solve and Graph a Two-Step Inequality?
- What's a Percent of Change?
- What is the Percent Equation?
- What is a Sample Space?
- What is an Unbiased Sample?
- How Do You Figure Out a Price Markup?
- What's the Direct Variation or Direct Proportionality Formula?
- How Do You Rewrite Subtraction as Addition?
- demo1
- What's a Rational Number?
- How Do You Solve a Two-Step Equation?
- How Do You Find the Mean of a Data Set?
- How Do You Add Two Negative Numbers?
- What are Acute, Obtuse, Right, and Straight Angles?
- How Do You Find the Probability of a Simple Event?
- What are Complementary Angles?
- How Do You Use a Sample to Make Predictions About a Population?
- How Do You Find the Surface Area of a Pyramid Using a Net?
- What is a Circle Graph?
- How Do You Determine Which Operations to Use in a Word Problem?
- How Do You Find a Missing Angle in a Right Triangle?
- What is the Formula for Simple Interest?
- What are Like Terms?
- How Do You Figure Out Sales Tax?
- What are Supplementary Angles?
- What are Similar Figures?

#### represent and use rational numbers in a variety of forms

#### add, subtract, multiply, and divide while solving problems and justifying solutions

##### add, subtract, multiply, and divide rational numbers fluently

- How Do You Convert a Temperature from Fahrenheit to Celsius?
- How Do You Add Two Negative Numbers?
- How Do You Figure Out Sales Tax?
- demo1
- What's a Rational Number?
- What's the Formula Connecting Distance, Speed, and Time?
- What is a Scale Drawing?
- What is the Percent Equation?
- What's the Direct Variation or Direct Proportionality Formula?
- How Do You Figure Out the Sign of a Product or Quotient?
- How Do You Rewrite Subtraction as Addition?

##### apply and extend previous understandings of operations to solve problems using addition, subtraction, multiplication, and division of rational numbers

- What is a Scale Drawing?
- How Do You Find the Surface Area of a Pyramid Using a Net?
- What is the Percent Equation?
- What is the Formula for the Volume of a Prism?
- What's the Direct Variation or Direct Proportionality Formula?
- How Do You Figure Out the Sign of a Product or Quotient?
- What is Circumference?
- How Do You Find the Surface Area of a Rectangular Prism Using a Net?
- How Do You Rewrite Subtraction as Addition?
- How Do You Solve an Equation Using Addition?
- How Do You Convert a Temperature from Fahrenheit to Celsius?
- How Do You Figure Out Sales Tax?
- How Do You Add Two Negative Numbers?
- demo1
- How Do You Figure Out a Price Markup?
- What is the Formula for the Area of a Circle?
- What's the Formula Connecting Distance, Speed, and Time?

#### represent and solve problems involving proportional relationships

##### represent constant rates of change in mathematical and real-world problems given pictorial, tabular, verbal, numeric, graphical, and algebraic representations, including d = rt

- What is the Formula for Simple Interest?
- demo1
- How Do You Find the Rate of Change Between Two Points on a Graph?
- What's the Formula Connecting Distance, Speed, and Time?
- What's the Y-Intercept?
- What's the Constant of Variation?
- What is the Formula for Compound Interest?
- What's the Direct Variation or Direct Proportionality Formula?

##### calculate unit rates from rates in mathematical and real-world problems

##### determine the constant of proportionality (k = y/x) within mathematical and real-world problems

##### solve problems involving ratios, rates, and percents, including multistep problems involving percent increase and percent decrease, and financial literacy problems

- What's a Percent of Change?
- How Do You Figure Out Sales Tax?
- What's the Constant of Variation?
- How Do You Figure Out a Price Markup?
- What is the Formula for the Area of a Circle?
- What is the Percent Equation?
- What is a Scale Drawing?
- demo1
- What are Equivalent Ratios?
- How Do You Figure Out How Much Something is Marked Down?
- What's the Formula Connecting Distance, Speed, and Time?
- What is the Formula for Simple Interest?
- What's the Direct Variation or Direct Proportionality Formula?
- What are Rates and Unit Rates?
- What is the Formula for Compound Interest?

##### convert between measurement systems, including the use of proportions and the use of unit rates

#### use geometry to describe or solve problems involving proportional relationships

#### use probability and statistics to describe or solve problems involving proportional relationships

##### represent sample spaces for simple and compound events using lists and tree diagrams

##### select and use different simulations to represent simple and compound events with and without technology

##### make predictions and determine solutions using experimental data for simple and compound events

##### make predictions and determine solutions using theoretical probability for simple and compound events

##### find the probabilities of a simple event and its complement and describe the relationship between the two

##### use data from a random sample to make inferences about a population

##### solve problems using data represented in bar graphs, dot plots, and circle graphs, including part-to-whole and part-to-part comparisons and equivalents

##### solve problems using qualitative and quantitative predictions and comparisons from simple experiments

##### determine experimental and theoretical probabilities related to simple and compound events using data and sample spaces

#### represent linear relationships using multiple representations

#### develop geometric relationships with volume

##### model the relationship between the volume of a rectangular prism and a rectangular pyramid having both congruent bases and heights and connect that relationship to the formulas

##### explain verbally and symbolically the relationship between the volume of a triangular prism and a triangular pyramid having both congruent bases and heights and connect that relationship to the formulas

##### use models to determine the approximate formulas for the circumference and area of a circle and connect the models to the actual formulas

#### solve geometric problems

##### solve problems involving the volume of rectangular prisms, triangular prisms, rectangular pyramids, and triangular pyramids

##### determine the circumference and area of circles

##### determine the area of composite figures containing combinations of rectangles, squares, parallelograms, trapezoids, triangles, semicircles, and quarter circles

##### solve problems involving the lateral and total surface area of a rectangular prism, rectangular pyramid, triangular prism, and triangular pyramid by determining the area of the shapes net

#### use one-variable equations and inequalities to represent situations

#### solve one-variable equations and inequalities

##### model and solve one-variable, two-step equations and inequalities

- How Do You Solve a One-Step Inequality Using Subtraction?
- What are Acute, Obtuse, Right, and Straight Angles?
- How Do You Find a Missing Angle in a Right Triangle?
- How Do You Solve an Equation Using Addition?
- How Do You Solve a Two-Step Inequality?
- demo1
- How Do You Write an Equation From a Word Problem?
- How Do You Solve a Two-Step Equation?
- What is a Circle?

##### determine if the given value(s) make(s) one-variable, two-step equations and inequalities true

##### write and solve equations using geometry concepts, including the sum of the angles in a triangle, and angle relationships

#### use statistical representations to analyze data

##### compare two groups of numeric data using comparative dot plots or box plots by comparing their shapes, centers, and spreads

##### use data from a random sample to make inferences about a population

##### compare two populations based on data in random samples from these populations, including informal comparative inferences about differences between the two populations

#### develop an economic way of thinking and problem solving useful in ones life as a knowledgeable consumer and investor

##### calculate the sales tax for a given purchase and calculate income tax for earned wages

##### identify the components of a personal budget, including income; planned savings for college, retirement, and emergencies; taxes; and fixed and variable expenses, and calculate what percentage each category comprises of the total budget

##### create and organize a financial assets and liabilities record and construct a net worth statement

##### use a family budget estimator to determine the minimum household budget and average hourly wage needed for a family to meet its basic needs in the students city or another large city nearby

##### calculate and compare simple interest and compound interest earnings

##### analyze and compare monetary incentives, including sales, rebates, and coupons

### Texas Digits Grade 8

#### acquire and demonstrate mathematical understanding

##### apply mathematics to problems arising in everyday life, society, and the workplace

- How Do You Solve a System of Equations Using the Elimination by Addition Method?
- How Do You Use the Formula for Simple Interest?
- What is the Mean of a Data Set?
- What is the Formula for the Surface Area of a Prism?
- How Do You Solve a System of Equations by Graphing?
- How Do You Put Real Numbers in Order?
- How Do You Solve a System of Equations Using the Elimination by Subtraction Method?
- How Do You Multiply Two Numbers Using Scientific Notation?
- What is an Unbiased Sample?
- What Does Direct Variation Look Like on a Graph?
- How Do You Solve a Two-Step Equation?
- How Do You Convert From Decimal Notation to Scientific Notation?
- demo1

##### use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution

##### select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems

- What's Scientific Notation?
- How Do You Find the Length of a Leg of a Right Triangle?
- How Do You Put Real Numbers in Order?
- What Is the Distance Formula?
- How Do You Solve a System of Equations Using the Elimination by Subtraction Method?
- What's the Quotient of Powers Rule?
- What's Positive Correlation?
- What is the Triangle Sum Theorem?
- What is the Converse of the Pythagorean Theorem?
- How Do You Multiply Two Numbers Using Scientific Notation?
- What is an Unbiased Sample?
- What's an Irrational Number?
- How Do You Make a Scatter Plot?
- What's the Product of Powers Rule?
- What is the Angle-Angle Postulate for Triangle Similarity?
- How Do You Solve an Equation with Variables on Both Sides?
- How Can You Tell if a Relation is Not a Function?
- How Do You Use a Scatter Plot to Find a Line of Fit?
- How Do You Convert From Decimal Notation to Scientific Notation?
- How Do You Write and Use a Prediction Equation?
- What is a Transversal?
- What is the Formula for the Surface Area of a Cylinder?
- How Do You Solve a System of Equations Using the Elimination by Addition Method?
- How Do You Solve a Two-Step Equation?
- What is the Pythagorean Theorem?
- What is a Reflection?
- What is the Mean of a Data Set?
- How Do You Find a Value for x that Makes Two Lines Parallel?
- What is a Translation?
- What is the Distributive Property?
- What is the Formula for the Volume of a Cone?
- What Does the Slope of a Line Mean?
- What's a Scatter Plot?
- What is a Rotation?
- What is the Formula for the Volume of a Cylinder?
- How Do You Estimate the Square Root of a Non-Perfect Square?
- What is the Formula for the Volume of a Sphere?

##### communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate

- How Do You Solve a Two-Step Equation?
- What is a Reflection?
- What is the Mean of a Data Set?
- What Does Direct Variation Look Like on a Graph?
- What's a Function?
- What is a Translation?
- What is the Distributive Property?
- What is the Formula for the Volume of a Cone?
- What Does the Slope of a Line Mean?
- What's a Scatter Plot?
- What is a Rotation?
- What are Similar Figures?
- What's the Y-Intercept?
- What is the Formula for the Volume of a Cylinder?
- How Do You Estimate the Square Root of a Non-Perfect Square?
- How Do You Solve an Inequality With Variables on Both Sides?
- What's Scientific Notation?
- What Is the Distance Formula?
- How Do You Solve a System of Equations Using the Elimination by Subtraction Method?
- What's the Quotient of Powers Rule?
- What's Positive Correlation?
- What is an Identity Equation?
- What's Slope-Intercept Form of a Linear Equation?
- How Can You Tell When a System of Equations Has Infinitely Many Solutions?
- How Do You Multiply Two Numbers Using Scientific Notation?
- How Do You Find the Rate of Change Between Two Points on a Graph?
- How Do You Solve a Word Problem Using the Direct Variation Formula?
- What is an Unbiased Sample?
- What's an Irrational Number?
- How Do You Make a Scatter Plot?
- How Do You Evaluate an Algebraic Expression by Plugging In Values?
- How Do You Use the Formula for Simple Interest?
- What's the Product of Powers Rule?
- How Do You Solve an Equation with Variables on Both Sides?
- How Can You Tell if a Relation is Not a Function?
- What is a Dilation?
- How Do You Use a Scatter Plot to Find a Line of Fit?
- What is the Formula for the Surface Area of a Prism?
- How Do You Convert From Decimal Notation to Scientific Notation?
- What is a Linear Function?
- What Does Congruent Mean?
- How Do You Write and Use a Prediction Equation?
- What is the Formula for the Surface Area of a Cylinder?
- How Do You Solve a System of Equations by Graphing?
- How Do You Solve a System of Equations Using the Elimination by Addition Method?
- What's a System of Linear Equations?

##### create and use representations to organize, record, and communicate mathematical ideas

- How Do You Find the Rate of Change Between Two Points on a Graph?
- How Do You Solve a Word Problem Using the Direct Variation Formula?
- What is an Unbiased Sample?
- How Do You Make a Scatter Plot?
- How Can You Tell if a Relation is Not a Function?
- What is the Formula for the Surface Area of a Prism?
- What is a Linear Function?
- How Do You Solve a System of Equations by Graphing?
- What's a System of Linear Equations?
- How Can You Tell if a Function is Linear or Nonlinear From a Graph?
- What's a Function?
- What is the Distributive Property?
- What Does the Slope of a Line Mean?
- What's the Y-Intercept?
- What is a Transversal?
- How Do You Solve an Inequality With Variables on Both Sides?
- What is an Identity Equation?
- What Is the Distance Formula?
- How Do You Solve a System of Equations Using the Elimination by Subtraction Method?
- What's Positive Correlation?
- What's Slope-Intercept Form of a Linear Equation?

##### analyze mathematical relationships to connect and communicate mathematical ideas

- How Do You Multiply Two Numbers Using Scientific Notation?
- What's a Function?
- What is the Pythagorean Theorem?
- What is the Distributive Property?
- What's the Product of Powers Rule?
- How Do You Find a Value for x that Makes Two Lines Parallel?
- How Do You Solve a System of Equations Using the Elimination by Subtraction Method?
- What Does Congruent Mean?
- How Do You Write and Use a Prediction Equation?
- What is a Transversal?
- How Do You Solve an Inequality With Variables on Both Sides?
- What is the Formula for the Surface Area of a Cylinder?
- How Do You Solve a System of Equations Using the Elimination by Addition Method?
- What's Slope-Intercept Form of a Linear Equation?
- What is an Unbiased Sample?
- How Do You Find the Length of a Leg of a Right Triangle?
- What is the Mean of a Data Set?
- What is the Triangle Sum Theorem?
- What is the Formula for the Surface Area of a Prism?
- What is the Formula for the Volume of a Cone?
- What is the Angle-Angle Postulate for Triangle Similarity?
- What is a Rotation?
- What are Similar Figures?
- What are Interior and Exterior Angles of a Polygon?
- What is the Formula for the Volume of a Cylinder?
- How Do You Solve a System of Equations by Graphing?
- How Do You Solve a System of Equations Using the Substitution Method?

##### display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication.

- How Can You Tell if a Function is Linear or Nonlinear From a Graph?
- How Do You Evaluate an Algebraic Expression by Plugging In Values?
- How Do You Use the Formula for Simple Interest?
- What's the Product of Powers Rule?
- What is the Angle-Angle Postulate for Triangle Similarity?
- What Does the Slope of a Line Mean?
- What are Similar Figures?
- What is a Dilation?
- How Do You Use a Scatter Plot to Find a Line of Fit?
- What are Interior and Exterior Angles of a Polygon?
- What's the Y-Intercept?
- What is the Formula for the Volume of a Cylinder?
- How Do You Convert From Decimal Notation to Scientific Notation?
- How Do You Solve a System of Equations Using the Substitution Method?
- What is the Distributive Property?
- What Is the Distance Formula?
- What is the Formula for the Volume of a Sphere?
- How Do You Find the Rate of Change Between Two Points on a Graph?
- How Do You Put Real Numbers in Order?
- How Can You Tell if a Relation is Not a Function?
- What is the Converse of the Pythagorean Theorem?
- How Do You Multiply Two Numbers Using Scientific Notation?
- What is a Linear Function?
- What Does Congruent Mean?
- What is a Transversal?
- How Do You Estimate the Square Root of a Non-Perfect Square?
- What's a System of Linear Equations?
- What is an Unbiased Sample?
- How Do You Find the Length of a Leg of a Right Triangle?
- What's the Quotient of Powers Rule?
- What is the Triangle Sum Theorem?

#### represent and use real numbers in a variety of forms

##### extend previous knowledge of sets and subsets using a visual representation to describe relationships between sets of real numbers

##### approximate the value of an irrational number, including pi and square roots of numbers less than 225, and locate that rational number approximation on a number line

##### convert between standard decimal notation and scientific notation

##### order a set of real numbers arising from mathematical and real-world contexts

#### use proportional relationships to describe dilations

##### generalize that the ratio of corresponding sides of similar shapes are proportional, including a shape and its dilation

##### compare and contrast the attributes of a shape and its dilation(s) on a coordinate plane

##### use an algebraic representation to explain the effect of a given positive rational scale factor applied to two-dimensional figures on a coordinate plane with the origin as the center of dilation

#### explain proportional and non-proportional relationships involving slope

##### use similar right triangles to develop an understanding that slope, m, given as the rate comparing the change in y-values to the change in x-values, (y2 - y1)/ (x2 - x1), is the same for any two points (x1, y1) and (x2, y2) on the same line

##### graph proportional relationships, interpreting the unit rate as the slope of the line that models the relationship

##### use data from a table or graph to determine the rate of change or slope and y-intercept in mathematical and real-world problems

- What Does Direct Variation Look Like on a Graph?
- What is a Linear Function?
- What Does the Slope of a Line Mean?
- How Do You Find the Rate of Change Between Two Points on a Graph?
- How Do You Solve a Word Problem Using the Direct Variation Formula?
- What's the Y-Intercept?
- demo1
- How Do You Write and Use a Prediction Equation?
- What's Slope-Intercept Form of a Linear Equation?

#### use proportional and relationships to develop foundational concepts of functions

##### represent linear proportional situations with tables, graphs, and equations in the form of y = kx

##### represent linear non-proportional situations with tables, graphs, and equations in the form of y = mx + b, where b does not equal 0

##### contrast bivariate sets of data that suggest a linear relationship with bivariate sets of data that do not suggest a linear relationship from a graphical representation

##### use a trend line that approximates the linear relationship between bivariate sets of data to make predictions

##### solve problems involving direct variation

##### distinguish between proportional and non-proportional situations using tables, graphs, and equations in the form y = kx or y = mx + b, where b does not equal 0

##### identify functions using sets of ordered pairs, tables, mappings, and graphs

##### identify examples of proportional and non-proportional functions that arise from mathematical and real-world problems

##### write an equation in the form y = mx + b to model a linear relationship between two quantities using verbal, numerical, tabular, and graphical representations

#### develop mathematical relationships and make connections to geometric formulas

#### use geometry to solve problems

##### solve problems involving the volume of cylinders, cones, and spheres

##### use previous knowledge of surface area to make connections to the formulas for lateral and total surface area and determine solutions for problems involving rectangular prisms, triangular prisms, and cylinders

##### use the Pythagorean Theorem and its converse to solve problems

##### determine the distance between two points on a coordinate plane using the Pythagorean Theorem

##### write one-variable equations or inequalities with variables on both sides that represent problems using rational number coefficients and constants

#### use one-variable equations or inequalities in problem situations

##### write a corresponding real-world problem when given a onevariable equation or inequality with variables on both sides of the equal sign using rational number coefficients and constants

##### model and solve one-variable equations with variables on both sides of the equal sign that represent mathematical and real-world problems using rational number coefficients and constants

##### use informal arguments to establish facts about the angle sum and exterior angle of triangles, the angles created when parallel lines are cut by a transversal, and the angle- angle criterion for similarity of triangles

#### use multiple representations to develop foundational concepts of simultaneous linear equations

#### develop transformational geometry concepts

##### generalize the properties of orientation and congruence of rotations, reflections, translations, and dilations of two-dimensional shapes on a coordinate plane

##### differentiate between transformations that preserve congruence and those that do not

##### explain the effect of translations, reflections over the x- or y-axis, and rotations limited to 90, 180, 270, and 360 dgrees as applied to two-dimensional shapes on a coordinate plane using an algebraic representation

##### model the effect on linear and area measurements of dilated two-dimensional shapes

#### use statistical procedures to describe data

##### construct a scatterplot and describe the observed data to address questions of association such as linear, non-linear, and no association between bivariate data

##### determine the mean absolute deviation and use this quantity as a measure of the average distance data are from the mean using a data set of no more than 10 data points

##### simulate generating random samples of the same size from a population with known characteristics to develop the notion of a random sample being representative of the population from which it was selected

#### develop an economic way of thinking and problem solving useful in ones life as a knowledgeable consumer and investor