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

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### Texas digits Grade 6

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

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

##### 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.

##### 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

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

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

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

#### use equations and inequalities to solve problems

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

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

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

#### use equations and inequalities to represent situations

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

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

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

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

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

##### 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.

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

##### 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

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

##### 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

#### develop concepts of expressions and equations

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

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

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

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

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

#### use multiple representations to describe algebraic relationships

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

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

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

#### solve problems involving proportional relationships

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

##### 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

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

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

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

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

##### 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

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

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

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

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

##### 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

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

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

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

##### 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

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

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

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

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

##### 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

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

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

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

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

#### acquire and demonstrate mathematical understanding

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

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

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

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

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

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

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

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

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

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

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

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

### Texas digits Grade 7

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

#### 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

#### solve one-variable equations and inequalities

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

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

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

#### 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

#### 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

#### represent linear relationships using multiple representations

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

##### 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

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

##### 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

##### 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

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

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

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

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

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

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

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

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

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

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

#### acquire and demonstrate mathematical understanding

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

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

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

##### 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

- What is the Formula for the Volume of a Prism?
- How Do You Solve a Two-Step Inequality?
- How Do You Solve a One-Step Inequality Using Subtraction?
- 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?

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

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

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

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

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

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

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

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

### Texas digits Grade 8

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

#### 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

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

#### 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 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

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

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

##### 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

##### 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

##### solve problems involving direct variation

##### 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

##### 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

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

##### 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

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

#### 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

#### 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

#### acquire and demonstrate mathematical understanding

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

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

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

##### 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

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

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

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

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

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

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

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

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