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- Growth: Algebra 1 International (2017)

# Growth: Algebra 1 International (2017)

### 1: Number Sense, Properties, and Number Theory

1.1: Number Sense: Real Numbers

1.1.1: Exponents

1.1.1.2: [RIT 221 - 233] Represents a whole number as a power of a whole number

Finding Factors with Area Models

Find factors of a number using an area model. Reshape the area rectangle to see different factorizations of the number. Find the prime factorization using a factor tree. 5 Minute Preview

1.1.2: Absolute Value: Concepts/Properties

1.1.2.1: [RIT 227 - 228] Evaluates the absolute value of a number

Integers, Opposites, and Absolute Values

Compare and order integers using draggable points on a number line. Also explore opposites and absolute values on the number line. 5 Minute Preview

Rational Numbers, Opposites, and Absolute Values

Use a number line to compare rational numbers. Change values by dragging points on the number line. Compare the opposites and absolute values of the numbers. 5 Minute Preview

1.1.3: Properties and Relationships of Operations

1.1.3.1: [RIT 209 - 217] Understands that a number and its opposite are the same distance from 0 on a number line

Integers, Opposites, and Absolute Values

Compare and order integers using draggable points on a number line. Also explore opposites and absolute values on the number line. 5 Minute Preview

1.1.4: Real/Complex Numbers: Concepts/Properties

1.1.4.3: [RIT 231 - 261] Compares and orders real numbers

Integers, Opposites, and Absolute Values

Compare and order integers using draggable points on a number line. Also explore opposites and absolute values on the number line. 5 Minute Preview

Rational Numbers, Opposites, and Absolute Values

Use a number line to compare rational numbers. Change values by dragging points on the number line. Compare the opposites and absolute values of the numbers. 5 Minute Preview

1.1.5: Rational Numbers: Equivalence

1.1.5.1: [RIT 209 - 232] Converts between decimals and fractions with denominators of 10 or 100

Fraction, Decimal, Percent (Area and Grid Models)

Model and compare fractions, decimals, and percents using area models. Each area model can have 10 or 100 sections and can be set to display a fraction, decimal, or percent. Click inside the area models to shade them. Compare the numbers visually or on a number line. 5 Minute Preview

Percents, Fractions, and Decimals

Compare a quantity represented by an area with its percent, fraction, and decimal forms. 5 Minute Preview

1.1.5.2: [RIT 211 - 237] Converts between decimals and fractions with denominators of 2, 4, or 5

Fraction, Decimal, Percent (Area and Grid Models)

Model and compare fractions, decimals, and percents using area models. Each area model can have 10 or 100 sections and can be set to display a fraction, decimal, or percent. Click inside the area models to shade them. Compare the numbers visually or on a number line. 5 Minute Preview

Percents, Fractions, and Decimals

Compare a quantity represented by an area with its percent, fraction, and decimal forms. 5 Minute Preview

1.1.5.5: [RIT 227 - 233] Converts between decimals and fractions with a denominator of 3

Fraction, Decimal, Percent (Area and Grid Models)

Model and compare fractions, decimals, and percents using area models. Each area model can have 10 or 100 sections and can be set to display a fraction, decimal, or percent. Click inside the area models to shade them. Compare the numbers visually or on a number line. 5 Minute Preview

1.1.6: Rational Numbers: Compare/Order

1.1.6.3: [RIT 211 - 211] Compares integers

Integers, Opposites, and Absolute Values

1.1.6.4: [RIT 218 - 255] Orders positive and negative rational numbers

Rational Numbers, Opposites, and Absolute Values

Use a number line to compare rational numbers. Change values by dragging points on the number line. Compare the opposites and absolute values of the numbers. 5 Minute Preview

1.1.6.5: [RIT 224 - 230] Compares positive rational numbers represented in multiple forms

Ordering Percents, Fractions, and Decimals Greater Than 1

Compare and order numbers greater than 1 using area grids and a number line. Examine the numbers represented as percents, improper fractions, and decimals. 5 Minute Preview

1.1.7: Rational Numbers: Represent/Model

1.1.7.1: [RIT 191 - 219] Understands positive and negative numbers in terms of real-world situations

Integers, Opposites, and Absolute Values

1.1.7.2: [RIT 200 - 218] Locates integers on a number line

Integers, Opposites, and Absolute Values

1.1.7.3: [RIT 204 - 204] Locates positive and negative rational numbers on a number line

Rational Numbers, Opposites, and Absolute Values

1.1.7.4: [RIT 214 - 232] Locates negative rational numbers on a number line

Rational Numbers, Opposites, and Absolute Values

1.1.8: Scientific Notation

1.1.8.1: [RIT 224 - 230] Converts a number from scientific notation to standard form

Unit Conversions 2 - Scientific Notation and Significant Digits

Use the Unit Conversions Gizmo to explore the concepts of scientific notation and significant digits. Convert numbers to and from scientific notation. Determine the number of significant digits in a measured value and in a calculation. 5 Minute Preview

1.1.8.2: [RIT 229 - 250] Converts a number from standard form to scientific notation

Number Systems

Explore number systems and convert numbers from one base to another using counter beads in place-value columns. 5 Minute Preview

Unit Conversions 2 - Scientific Notation and Significant Digits

Use the Unit Conversions Gizmo to explore the concepts of scientific notation and significant digits. Convert numbers to and from scientific notation. Determine the number of significant digits in a measured value and in a calculation. 5 Minute Preview

1.2: Properties of Real Numbers

1.2.1: Properties and Relationships of Operations

1.2.1.1: [RIT 184 - 214] Identifies the missing value in an equation to show that a number and its opposite have a sum of 0

Solving Algebraic Equations II

Is solving equations tricky? If you know how to isolate a variable, you're halfway there. The other half? Don't do anything to upset the balance of an equation. Join our plucky variable friend as he encounters algebraic equations and a (sometimes grumpy) equal sign. With a little practice, you'll find that solving equations isn't tricky at all. 5 Minute Preview

1.2.1.3: [RIT 222 - 231] Locates the additive inverse of a number on a number line

Integers, Opposites, and Absolute Values

1.2.1.4: [RIT 228 - 242] Understands the additive inverse property

Integers, Opposites, and Absolute Values

Solving Algebraic Equations I

Are there times when you wish you could escape from everyone and just be alone? Meet our variable friend, a real loner who doesn't like coefficients and neighboring terms. Learn how to use inverses to isolate a variable â€“ a foundational skill for solving algebraic equations. 5 Minute Preview

Solving Algebraic Equations II

Is solving equations tricky? If you know how to isolate a variable, you're halfway there. The other half? Don't do anything to upset the balance of an equation. Join our plucky variable friend as he encounters algebraic equations and a (sometimes grumpy) equal sign. With a little practice, you'll find that solving equations isn't tricky at all. 5 Minute Preview

1.2.1.5: [RIT 231 - 231] Names the property of operation shown by a given statement

Solving Algebraic Equations I

Are there times when you wish you could escape from everyone and just be alone? Meet our variable friend, a real loner who doesn't like coefficients and neighboring terms. Learn how to use inverses to isolate a variable â€“ a foundational skill for solving algebraic equations. 5 Minute Preview

1.2.1.6: [RIT 243 - 243] Understands the multiplicative inverse property

Solving Algebraic Equations I

Are there times when you wish you could escape from everyone and just be alone? Meet our variable friend, a real loner who doesn't like coefficients and neighboring terms. Learn how to use inverses to isolate a variable â€“ a foundational skill for solving algebraic equations. 5 Minute Preview

Solving Algebraic Equations II

Is solving equations tricky? If you know how to isolate a variable, you're halfway there. The other half? Don't do anything to upset the balance of an equation. Join our plucky variable friend as he encounters algebraic equations and a (sometimes grumpy) equal sign. With a little practice, you'll find that solving equations isn't tricky at all. 5 Minute Preview

1.2.1.7: [RIT 243 - 243] Understands a negative number is less than its opposite

Integers, Opposites, and Absolute Values

1.2.1.8: [RIT 245 - 245] Understands the multiplicative identity property

Solving Algebraic Equations I

1.2.1.9: [RIT 245 - 245] Understands that the product of two negative numbers is positive

Adding and Subtracting Integers

Add and subtract integers on a number line using dynamic arrows. 5 Minute Preview

1.2.1.10: [RIT 262 - 262] Defines properties of equality

Solving Algebraic Equations II

1.3: Number Theory

1.3.1: Whole Numbers: Concepts/Properties

1.3.1.1: [RIT 200 - 225] Identifies factors of numbers less than 100

Factor Trees (Factoring Numbers)

The Factor Trees Gizmo has two modes. In Factor mode, you can create factor trees to factor composite numbers into primes. In Build mode, you can build numbers by multiplying primes together. Can you build all composite numbers up to 50? Any whole composite number up to 999 can be factored or built with the Gizmo. 5 Minute Preview

Finding Factors with Area Models

Find factors of a number using an area model. Reshape the area rectangle to see different factorizations of the number. Find the prime factorization using a factor tree. 5 Minute Preview

1.3.1.2: [RIT 201 - 201] Determines prime factorization of a number using a factor tree

Factor Trees (Factoring Numbers)

The Factor Trees Gizmo has two modes. In Factor mode, you can create factor trees to factor composite numbers into primes. In Build mode, you can build numbers by multiplying primes together. Can you build all composite numbers up to 50? Any whole composite number up to 999 can be factored or built with the Gizmo. 5 Minute Preview

Finding Factors with Area Models

Find factors of a number using an area model. Reshape the area rectangle to see different factorizations of the number. Find the prime factorization using a factor tree. 5 Minute Preview

1.3.1.3: [RIT 208 - 242] Determines common multiples

Pattern Flip (Patterns)

In the Pattern Flip carnival game, you are shown a pattern of cards. The first cards are face-up so you can see the pattern, and the rest are face-down. Can you guess which animals are on the face-down cards? Use one of the preset patterns, or make your own custom pattern. Good luck! 5 Minute Preview

1.3.1.4: [RIT 210 - 220] Determines greatest common factors

Factor Trees (Factoring Numbers)

The Factor Trees Gizmo has two modes. In Factor mode, you can create factor trees to factor composite numbers into primes. In Build mode, you can build numbers by multiplying primes together. Can you build all composite numbers up to 50? Any whole composite number up to 999 can be factored or built with the Gizmo. 5 Minute Preview

1.3.1.5: [RIT 211 - 253] Solves real-world problems involving the least common multiple

Pattern Flip (Patterns)

In the Pattern Flip carnival game, you are shown a pattern of cards. The first cards are face-up so you can see the pattern, and the rest are face-down. Can you guess which animals are on the face-down cards? Use one of the preset patterns, or make your own custom pattern. Good luck! 5 Minute Preview

1.3.1.6: [RIT 213 - 256] Determines least common multiples

Pattern Flip (Patterns)

In the Pattern Flip carnival game, you are shown a pattern of cards. The first cards are face-up so you can see the pattern, and the rest are face-down. Can you guess which animals are on the face-down cards? Use one of the preset patterns, or make your own custom pattern. Good luck! 5 Minute Preview

1.3.1.7: [RIT 214 - 214] Solves problems involving factors and multiples

Factor Trees (Factoring Numbers)

Finding Factors with Area Models

Pattern Flip (Patterns)

1.3.1.8: [RIT 218 - 243] Determines the prime factorization of a number

Factor Trees (Factoring Numbers)

Finding Factors with Area Models

1.3.1.10: [RIT 219 - 245] Determines common factors

Pattern Flip (Patterns)

1.3.1.11: [RIT 219 - 219] Identifies multiples of two-digit numbers

Factor Trees (Factoring Numbers)

Finding Factors with Area Models

1.3.1.12: [RIT 222 - 223] Identifies prime and composite numbers

Factor Trees (Factoring Numbers)

Finding Factors with Area Models

1.3.1.13: [RIT 235 - 240] Identifies true statements about number-theory concepts, including prime, composite, multiples, factors, least common multiples, and greatest common factors

Factor Trees (Factoring Numbers)

Finding Factors with Area Models

Pattern Flip (Patterns)

1.3.1.14: [RIT 237 - 237] Identifies factors of numbers greater than 100

Finding Factors with Area Models

1.3.1.16: [RIT 259 - 259] Solves problems by applying multiple number-theory concepts, including prime numbers, multiples, factors, least common multiples, and greatest common factors

Factor Trees (Factoring Numbers)

Finding Factors with Area Models

Pattern Flip (Patterns)

### 2: Computation and Estimation with Real Numbers

2.1: Computation with Real Numbers

2.1.1: Numerical Expressions

2.1.1.1: [RIT 227 - 227] Applies the order of operations, with grouping symbols and excluding exponents, to simplify numerical expressions involving both positive and negative rational numbers

Order of Operations

Select and evaluate the operations in an expression following the correct order of operations. 5 Minute Preview

2.1.1.2: [RIT 234 - 234] Represents real-world problems involving the addition and subtraction of integers with numerical expressions

Adding and Subtracting Integers

Add and subtract integers on a number line using dynamic arrows. 5 Minute Preview

Adding and Subtracting Integers with Chips

Use chips to model addition and subtraction of positives and negatives. Explore the effect of zero pairs. See how to use zero pairs to help special cases of addition and subtraction. 5 Minute Preview

2.1.3: Exponents

2.1.3.1: [RIT 212 - 221] Evaluates numbers with whole-number bases and whole-number exponents

Exponents and Power Rules

Choose the correct steps to simplify expressions with exponents using the rules of exponents and powers. Use feedback to diagnose incorrect steps. 5 Minute Preview

2.1.3.2: [RIT 235 - 235] Evaluates numbers with negative integer bases and whole-number exponents

Exponents and Power Rules

Choose the correct steps to simplify expressions with exponents using the rules of exponents and powers. Use feedback to diagnose incorrect steps. 5 Minute Preview

2.1.4: Rational Numbers: Computation

2.1.4.1: [RIT 225 - 253] Multiplies rational numbers, including combinations of positive or negative fractions, decimals, and integers

Adding and Subtracting Integers

Add and subtract integers on a number line using dynamic arrows. 5 Minute Preview

2.1.4.2: [RIT 228 - 242] Adds and subtracts rational numbers, including combinations of positive or negative fractions, decimals, and integers

Adding on the Number Line

Add real numbers using dynamic arrows on a number line. Find the sum of the numbers at the end of the final arrow. Compare the numerical calculation. 5 Minute Preview

2.1.5: Rational Numbers: Solve Real-World and Mathematical Problems

2.1.5.1: [RIT 202 - 244] Solves real-world problems involving the addition and subtraction of integers

Adding and Subtracting Integers

Add and subtract integers on a number line using dynamic arrows. 5 Minute Preview

Adding and Subtracting Integers with Chips

Use chips to model addition and subtraction of positives and negatives. Explore the effect of zero pairs. See how to use zero pairs to help special cases of addition and subtraction. 5 Minute Preview

2.1.6: Scientific Notation

2.1.6.1: [RIT 233 - 244] Solves real-world problems with numbers expressed in scientific notation

Unit Conversions 2 - Scientific Notation and Significant Digits

Use the Unit Conversions Gizmo to explore the concepts of scientific notation and significant digits. Convert numbers to and from scientific notation. Determine the number of significant digits in a measured value and in a calculation. 5 Minute Preview

2.1.6.2: [RIT 235 - 278] Multiplies and divides numbers expressed in scientific notation

Unit Conversions 2 - Scientific Notation and Significant Digits

2.1.7: Radicals

2.1.7.1: [RIT 228 - 260] Evaluates the square root of a perfect square

Ordering and Approximating Square Roots

Order square roots on a number line. Approximate the square roots using the side lengths of square regions in a grid. 5 Minute Preview

Square Roots

Explore the meaning of square roots using an area model. Use the side length of a square to find the square root of a decimal number or a whole number. 5 Minute Preview

2.1.7.2: [RIT 263 - 273] Multiplies binomial radical expressions

Operations with Radical Expressions

Identify the correct steps to complete operations with a radical expression. Use step-by-step feedback to diagnose incorrect steps. 5 Minute Preview

2.1.8: Integers: Computation

2.1.8.1: [RIT 211 - 229] Adds and subtracts integers

Adding and Subtracting Integers

Add and subtract integers on a number line using dynamic arrows. 5 Minute Preview

Adding and Subtracting Integers with Chips

Use chips to model addition and subtraction of positives and negatives. Explore the effect of zero pairs. See how to use zero pairs to help special cases of addition and subtraction. 5 Minute Preview

2.1.8.2: [RIT 212 - 220] Multiplies and divides integers

Adding and Subtracting Integers

Add and subtract integers on a number line using dynamic arrows. 5 Minute Preview

2.1.8.3: [RIT 229 - 236] Represents addition and subtraction of integers on a number line

Adding and Subtracting Integers

Add and subtract integers on a number line using dynamic arrows. 5 Minute Preview

2.1.8.4: [RIT 231 - 231] Understands subtracting an integer is the same as adding its opposite

Adding and Subtracting Integers

Add and subtract integers on a number line using dynamic arrows. 5 Minute Preview

2.2: Ratio and Proportion

2.2.1: Conversion of Units

2.2.1.1: [RIT 224 - 257] Converts units of speed

Unit Conversions

Use unit conversion tiles to convert from one unit to another. Tiles can be flipped to cancel units. Convert between metric units or between metric and U.S. customary units. Solve distance, time, speed, mass, volume, and density problems. 5 Minute Preview

Unit Conversions 2 - Scientific Notation and Significant Digits

2.2.2: Rates/Ratios/Proportions/Percents

2.2.2.1: [RIT 185 - 220] Represents percents less than 100% using models

Fraction, Decimal, Percent (Area and Grid Models)

Ordering Percents, Fractions, and Decimals Greater Than 1

Compare and order numbers greater than 1 using area grids and a number line. Examine the numbers represented as percents, improper fractions, and decimals. 5 Minute Preview

Part-to-part and Part-to-whole Ratios

Compare a ratio represented by an area with its percent, fraction, and decimal forms. 5 Minute Preview

Percents, Fractions, and Decimals

Compare a quantity represented by an area with its percent, fraction, and decimal forms. 5 Minute Preview

2.2.2.2: [RIT 188 - 228] Solves for a missing value in a proportion by basic reasoning with equivalent fractions

Percents and Proportions

Find a part from the percent and whole, a percent from the part and whole, or a whole from the part and percent using a graphic model. 5 Minute Preview

Proportions and Common Multipliers

Complete a proportion using a graphical model. Use counters to fill cells in the numerators and denominators given. Use the visual pattern to determine how many counters to put in the missing numerator or denominator. 5 Minute Preview

2.2.2.3: [RIT 190 - 242] Uses a given unit rate to solve a one-step real-world problem

Road Trip (Problem Solving)

Plan a cross-country road trip through various U.S. state capitals. First choose a vehicle to drive, and then fill up the tank with gas and go! Find the range and gas mileage of each vehicle, and discover the shortest path between two cities. 5 Minute Preview

2.2.2.4: [RIT 191 - 251] Solves real-world and mathematical problems using ratios or proportional reasoning

Part-to-part and Part-to-whole Ratios

Compare a ratio represented by an area with its percent, fraction, and decimal forms. 5 Minute Preview

Percent of Change

Apply markups and discounts using interactive "percent rulers." Improve number sense for percents with this dynamic, visual tool. Reinforce the original cost (or original price) as the baseline for percent calculations. 5 Minute Preview

Percents and Proportions

Find a part from the percent and whole, a percent from the part and whole, or a whole from the part and percent using a graphic model. 5 Minute Preview

Percents, Fractions, and Decimals

Proportions and Common Multipliers

Complete a proportion using a graphical model. Use counters to fill cells in the numerators and denominators given. Use the visual pattern to determine how many counters to put in the missing numerator or denominator. 5 Minute Preview

2.2.2.5: [RIT 191 - 240] Uses ratios of whole numbers to calculate unit rates

Road Trip (Problem Solving)

Plan a cross-country road trip through various U.S. state capitals. First choose a vehicle to drive, and then fill up the tank with gas and go! Find the range and gas mileage of each vehicle, and discover the shortest path between two cities. 5 Minute Preview

2.2.2.7: [RIT 203 - 246] Solves one-step percent problems within a real-world or mathematical context

Part-to-part and Part-to-whole Ratios

Compare a ratio represented by an area with its percent, fraction, and decimal forms. 5 Minute Preview

Percent of Change

Apply markups and discounts using interactive "percent rulers." Improve number sense for percents with this dynamic, visual tool. Reinforce the original cost (or original price) as the baseline for percent calculations. 5 Minute Preview

Percents and Proportions

Find a part from the percent and whole, a percent from the part and whole, or a whole from the part and percent using a graphic model. 5 Minute Preview

Percents, Fractions, and Decimals

2.2.2.8: [RIT 203 - 239] Converts between decimals and percents less than 100%

Fraction, Decimal, Percent (Area and Grid Models)

Percents, Fractions, and Decimals

2.2.2.9: [RIT 205 - 228] Uses ratios of whole numbers and fractions to calculate unit rates

Road Trip (Problem Solving)

Plan a cross-country road trip through various U.S. state capitals. First choose a vehicle to drive, and then fill up the tank with gas and go! Find the range and gas mileage of each vehicle, and discover the shortest path between two cities. 5 Minute Preview

2.2.2.10: [RIT 206 - 233] Uses ratios of whole numbers and decimals to calculate unit rates

Road Trip (Problem Solving)

2.2.2.11: [RIT 209 - 246] Calculates percents of numbers

Fraction, Decimal, Percent (Area and Grid Models)

Percent of Change

Apply markups and discounts using interactive "percent rulers." Improve number sense for percents with this dynamic, visual tool. Reinforce the original cost (or original price) as the baseline for percent calculations. 5 Minute Preview

Percents and Proportions

Percents, Fractions, and Decimals

2.2.2.12: [RIT 214 - 241] Identifies the part-to-whole ratio between two quantities

Part-to-part and Part-to-whole Ratios

2.2.2.13: [RIT 214 - 249] Determines equivalent ratios

Part-to-part and Part-to-whole Ratios

Percents, Fractions, and Decimals

2.2.2.16: [RIT 216 - 253] Solves for a missing value in a proportion by taking a cross product

Percents and Proportions

2.2.2.17: [RIT 216 - 263] Uses a given unit rate to solve a multi-step real-world problem

Road Trip (Problem Solving)

2.2.2.18: [RIT 217 - 247] Compares unit rates within a real-world context

Road Trip (Problem Solving)

2.2.2.19: [RIT 219 - 257] Converts unit rates to solve real-world problems

Unit Conversions

Use unit conversion tiles to convert from one unit to another. Tiles can be flipped to cancel units. Convert between metric units or between metric and U.S. customary units. Solve distance, time, speed, mass, volume, and density problems. 5 Minute Preview

Unit Conversions 2 - Scientific Notation and Significant Digits

2.2.2.20: [RIT 219 - 239] Identifies the part-to-part ratio between two quantities

Part-to-part and Part-to-whole Ratios

2.2.2.21: [RIT 219 - 236] Uses ratios of decimals to calculate unit rates

Road Trip (Problem Solving)

2.2.2.22: [RIT 219 - 244] Calculates the percent one number is of another number

Percents and Proportions

2.2.2.23: [RIT 220 - 237] Calculates the whole when given a part and the percent

Percents and Proportions

2.2.2.24: [RIT 220 - 231] Converts between percents and ratios expressed verbally or in the form a:b

Part-to-part and Part-to-whole Ratios

Percents, Fractions, and Decimals

2.2.2.26: [RIT 225 - 234] Determines the whole in a real-world percent problem given the part and the percent

Percents and Proportions

2.2.2.27: [RIT 226 - 226] Applies scale factors to solve problems involving scale drawings, maps, and models

Dilations

Dilate a figure and investigate its resized image. See how scaling a figure affects the coordinates of its vertices, both in

Perimeters and Areas of Similar Figures

Manipulate two similar figures and vary the scale factor to see what changes are possible under similarity. Explore how the perimeters and areas of two similar figures compare. 5 Minute Preview

Similar Figures

Vary the scale factor and rotation of an image and compare it to the preimage. Determine how the angle measures and side lengths of the two figures are related. 5 Minute Preview

2.2.2.28: [RIT 227 - 258] Solves multi-step percent problems within a real-world or mathematical context

Part-to-part and Part-to-whole Ratios

Percent of Change

Percents, Fractions, and Decimals

2.2.2.29: [RIT 230 - 252] Writes a proportion to solve a real-world problem

Estimating Population Size

Adjust the number of fish in a lake to be tagged and the number of fish to be recaptured. Use the number of tagged fish in the catch to estimate the number of fish in the lake. 5 Minute Preview

Polling: Neighborhood

Conduct a phone poll of citizens in a small neighborhood to determine their response to a yes-or-no question. Use the results to estimate the sentiment of the entire population. Investigate how the error of this estimate becomes smaller as more people are polled. Compare random versus non-random sampling. 5 Minute Preview

2.2.2.30: [RIT 235 - 256] Calculates the percent one number is of another number for percents greater than 100%

Percent of Change

2.2.2.31: [RIT 235 - 258] Solves real-world problems involving percent or fractional increase

Percent of Change

2.2.2.33: [RIT 242 - 244] Writes a corresponding linear equation for a given proportion

Percent of Change

Percents and Proportions

2.2.2.34: [RIT 242 - 256] Calculates simple interest

Compound Interest

Explore compound interest in-depth, from compounded annually to compounded continuously. In addition, compare the END POINTS graph, with dots that fit an exponential curve, to the ALL TIME graph, which has a more step-like appearance. 5 Minute Preview

2.2.2.35: [RIT 251 - 255] Compares ratios within a real-world context

Part-to-part and Part-to-whole Ratios

2.2.3: Rational Numbers: Equivalence

2.2.3.1: [RIT 196 - 228] Converts between percents and fractions with denominators of 10 or 100

Fraction, Decimal, Percent (Area and Grid Models)

Percents, Fractions, and Decimals

2.2.3.2: [RIT 212 - 212] Determines equivalence between fractions, decimals, and percents

Fraction, Decimal, Percent (Area and Grid Models)

Percents, Fractions, and Decimals

2.2.3.3: [RIT 214 - 214] Determines equivalence between fractions and percents using models

Fraction, Decimal, Percent (Area and Grid Models)

Percents, Fractions, and Decimals

2.2.3.4: [RIT 215 - 229] Converts between percents and fractions with denominators other than 10 and 100

Fraction, Decimal, Percent (Area and Grid Models)

Percents, Fractions, and Decimals

2.2.3.5: [RIT 218 - 218] Determines equivalence between decimals and percents using models

Fraction, Decimal, Percent (Area and Grid Models)

Percents, Fractions, and Decimals

2.3: Estimation with Real Numbers

2.3.1: Whole Numbers and Decimals: Rounding/Estimation

2.3.1.1: [RIT 178 - 217] Estimates solutions to one-step word problems involving any of the four operations with whole numbers

Number Line Frog Hop (Addition and Subtraction)

Live a frog's life as you hop along a number line in search of flies. Learn how addition and subtraction can be represented as movement along a number line. Fred the frog may even help you get better at adding and subtracting two-digit numbers in your head by decomposing them into tens and ones. 5 Minute Preview

Rounding Whole Numbers (Number Line)

Place points on a number line. Round these values to the nearest ten or hundred. Visualize rounding by showing the number line as a hill or series of hills. These hills cause the points to roll to the nearest valley (nearest multiple of ten or one hundred). 5 Minute Preview

2.3.1.2: [RIT 208 - 211] Estimates solutions to one-step word problems involving any of the four operations with decimals, including contexts involving money

Estimating Sums and Differences

Estimate the sum or difference of two fractions using area models. Compare estimates to exact sums and differences. 5 Minute Preview

Multiplying Decimals (Area Model)

Model the product of two decimals by finding the area of a rectangle. Estimate the area of the rectangle first. Then break the rectangle into several pieces and find the area of each piece (partial product). Add these areas together to find the whole area (product). 5 Minute Preview

Multiplying with Decimals

Multiply two decimals using a dynamic area model. On a grid, shade the region with width equal to one of the decimals and height equal to the other decimal and find the area of the region. 5 Minute Preview

2.3.2: Real/Complex Numbers: Concepts/Properties

2.3.2.1: [RIT 227 - 260] Approximates the value of an irrational number

Square Roots

Explore the meaning of square roots using an area model. Use the side length of a square to find the square root of a decimal number or a whole number. 5 Minute Preview

### 3: Patterns, Functions, and Graphing

3.1: Patterns: Arithmetic and Geometric

3.1.1: Patterns/Sequences/Series

3.1.1.1: [RIT 190 - 226] Determines the rule, and extends or finds a missing term for growing/shrinking shape patterns

Finding Patterns

Build a pattern to complete a sequence of patterns. Study a sequence of three patterns of squares in a grid and build the fourth pattern of the sequence in a grid. 5 Minute Preview

3.1.1.2: [RIT 195 - 233] Determines the two-step rule, and extends or finds a missing term for number patterns involving multiple operations

Function Machines 3 (Functions and Problem Solving)

Drop a number into a function machine, and see what number comes out! You can use one of the six pre-set function machines, or program your own function rule into one of the blank machines. Stack up to three function machines together. Input and output can be recorded in a table and on a graph. 5 Minute Preview

3.1.1.3: [RIT 197 - 227] Determines the rule for growing/shrinking shape patterns

Finding Patterns

Build a pattern to complete a sequence of patterns. Study a sequence of three patterns of squares in a grid and build the fourth pattern of the sequence in a grid. 5 Minute Preview

3.1.1.8: [RIT 215 - 218] Determines the rule, and extends or finds a missing term given descriptions of number patterns within a real-world context

Function Machines 1 (Functions and Tables)

Drop a number into a function machine, and see what number comes out! You can use one of the six pre-set function machines, or program your own function rule into one of the blank machines. Stack up to three function machines together. Input and output can be recorded in a table and on a graph. 5 Minute Preview

Function Machines 3 (Functions and Problem Solving)

Drop a number into a function machine, and see what number comes out! You can use one of the six pre-set function machines, or program your own function rule into one of the blank machines. Stack up to three function machines together. Input and output can be recorded in a table and on a graph. 5 Minute Preview

3.1.1.9: [RIT 218 - 258] Determines the value of a term in an arithmetic sequence given a contextual situation

Arithmetic Sequences

Find the value of individual terms in arithmetic sequences using graphs of the sequences and direct computation. Vary the common difference and examine how the sequences change in response. 5 Minute Preview

3.1.1.11: [RIT 227 - 232] Determines the single-step rule, and extends or finds a missing term for number patterns involving fractionsÂ

Function Machines 1 (Functions and Tables)

3.1.1.13: [RIT 229 - 266] Determines the value of a term in a geometric sequence given a contextual situation

Geometric Sequences

Explore geometric sequences by varying the initial term and the common ratio and examining the graph. Compute specific terms in the sequence using the explicit and recursive formulas. 5 Minute Preview

3.1.1.14: [RIT 229 - 285] Determines the value of a term in a geometric sequence defined by a list

Arithmetic and Geometric Sequences

Find the value of individual terms in an arithmetic or geometric sequence using graphs of the sequence and direct computation. Vary the common difference and common ratio and examine how the sequence changes in response. 5 Minute Preview

Geometric Sequences

Explore geometric sequences by varying the initial term and the common ratio and examining the graph. Compute specific terms in the sequence using the explicit and recursive formulas. 5 Minute Preview

3.1.1.15: [RIT 232 - 238] Recognizes arithmetic sequences

Arithmetic Sequences

Find the value of individual terms in arithmetic sequences using graphs of the sequences and direct computation. Vary the common difference and examine how the sequences change in response. 5 Minute Preview

Arithmetic and Geometric Sequences

Find the value of individual terms in an arithmetic or geometric sequence using graphs of the sequence and direct computation. Vary the common difference and common ratio and examine how the sequence changes in response. 5 Minute Preview

3.1.1.16: [RIT 243 - 275] Writes an expression or formula for the nth term of an arithmetic sequence given a number sequence

Arithmetic and Geometric Sequences

Find the value of individual terms in an arithmetic or geometric sequence using graphs of the sequence and direct computation. Vary the common difference and common ratio and examine how the sequence changes in response. 5 Minute Preview

3.1.1.17: [RIT 252 - 252] Determines the rule, and extends or finds a missing term for number patterns which increase or decrease by a nonconstant amount, within a real-world context

Arithmetic Sequences

Find the value of individual terms in arithmetic sequences using graphs of the sequences and direct computation. Vary the common difference and examine how the sequences change in response. 5 Minute Preview

3.1.1.19: [RIT 256 - 256] Determines the common ratio in a geometric sequence

Geometric Sequences

Explore geometric sequences by varying the initial term and the common ratio and examining the graph. Compute specific terms in the sequence using the explicit and recursive formulas. 5 Minute Preview

3.1.1.20: [RIT 260 - 271] Writes an expression or formula for the nth term of a geometric sequence given a number sequence

Arithmetic and Geometric Sequences

Geometric Sequences

3.2: Functions

3.2.1: Properties and Operations of Functions

3.2.1.1: [RIT 206 - 206] Expresses a relation defined by a mapping diagram as a set of ordered pairs

Introduction to Functions

Determine if a relation is a function using the mapping diagram, ordered pairs, or the graph of the relation. Drag arrows from the domain to the range, type in ordered pairs, or drag points to the graph to add inputs and outputs to the relation. 5 Minute Preview

3.2.1.2: [RIT 235 - 239] Determines the input of a function given an output

Function Machines 1 (Functions and Tables)

3.2.1.3: [RIT 238 - 265] Performs operations with functions

Addition and Subtraction of Functions

Explore the graphs of two polynomials and the graph of their sum or difference. Vary the coefficients in the polynomials and investigate how the graphs change in response. 5 Minute Preview

3.2.1.4: [RIT 238 - 263] Identifies the type of function by its equation

Absolute Value with Linear Functions

Compare the graph of a linear function, the graph of an absolute-value function, and the graphs of their translations. Vary the coefficients and constants in the functions and investigate how the graphs change in response. 5 Minute Preview

General Form of a Rational Function

Compare the equation of a rational function to its graph. Multiply or divide the numerator and denominator by linear factors and explore how the graph changes in response. 5 Minute Preview

Linear Functions

Determine if a relation is a function from the mapping diagram, ordered pairs, or graph. Use the graph to determine if it is linear. 5 Minute Preview

Logarithmic Functions

Compare the equation of a logarithmic function to its graph. Change the base of the logarithmic function and examine how the graph changes in response. Use the line *y* = *x* to compare the associated exponential function.
5 Minute Preview

Radical Functions

Compare the graph of a radical function to its equation. Vary the terms of the equation. Explore how the graph is translated and stretched by the changes to the equation. 5 Minute Preview

3.2.1.6: [RIT 248 - 258] Distinguishes between linear and nonlinear functions given an equation, a graph, or a table of values

Graphs of Polynomial Functions

Study the graphs of polynomials up to the fourth degree. Vary the coefficients of the equation and investigate how the graph changes in response. Explore things like intercepts, end behavior, and even near-zero behavior. 5 Minute Preview

3.2.1.9: [RIT 261 - 270] Determines if a relation defined by a set of ordered pairs, a table of values, or a graph is a function

Introduction to Functions

Determine if a relation is a function using the mapping diagram, ordered pairs, or the graph of the relation. Drag arrows from the domain to the range, type in ordered pairs, or drag points to the graph to add inputs and outputs to the relation. 5 Minute Preview

Linear Functions

Determine if a relation is a function from the mapping diagram, ordered pairs, or graph. Use the graph to determine if it is linear. 5 Minute Preview

3.2.1.11: [RIT 264 - 280] Determines the domain of a rational function

Rational Functions

Compare the graph of a rational function to its equation. Vary the terms of the equation and explore how the graph is translated and stretched as a result. Examine the domain on a number line and compare it to the graph of the equation. 5 Minute Preview

3.2.1.17: [RIT 283 - 289] Graphs the inverse of a function

Logarithmic Functions

Compare the equation of a logarithmic function to its graph. Change the base of the logarithmic function and examine how the graph changes in response. Use the line *y* = *x* to compare the associated exponential function.
5 Minute Preview

3.2.2: Number Sentences/Equations/Equivalence

3.2.2.1: [RIT 238 - 266] Identifies an ordered pair that is a solution to a two-variable equation

Points, Lines, and Equations

Compare the graph of a linear function to its rule and to a table of its values. Change the function by dragging two points on the line. Examine how the rule and table change. 5 Minute Preview

Slope-Intercept Form of a Line

Compare the slope-intercept form of a linear equation to its graph. Vary the coefficients and explore how the graph changes in response. 5 Minute Preview

Standard Form of a Line

Compare the standard form of a linear equation to its graph. Vary the coefficients and explore how the graph changes in response. 5 Minute Preview

3.2.3: Patterns/Sequences/Series

3.2.3.1: [RIT 175 - 201] Determines missing values in a table representing a proportional relationship, given the function rule

Function Machines 1 (Functions and Tables)

Function Machines 2 (Functions, Tables, and Graphs)

Points, Lines, and Equations

Compare the graph of a linear function to its rule and to a table of its values. Change the function by dragging two points on the line. Examine how the rule and table change. 5 Minute Preview

3.2.3.2: [RIT 180 - 220] Determines missing values in a table representing a proportional relationship, function rule not given

Function Machines 1 (Functions and Tables)

3.2.3.3: [RIT 187 - 228] Determines missing values in a function table representing a nonproportional relationship, given the rule

Function Machines 1 (Functions and Tables)

Function Machines 2 (Functions, Tables, and Graphs)

Points, Lines, and Equations

Compare the graph of a linear function to its rule and to a table of its values. Change the function by dragging two points on the line. Examine how the rule and table change. 5 Minute Preview

3.2.3.5: [RIT 202 - 218] Determines the rule for a given function table representing a proportional relationship

Function Machines 1 (Functions and Tables)

3.2.3.6: [RIT 205 - 231] Determines the rule for a given function table representing a nonproportional relationship

Function Machines 1 (Functions and Tables)

3.2.3.7: [RIT 210 - 228] Identifies a function table that matches a given rule

Points, Lines, and Equations

3.2.4: Polynomial Functions

3.2.4.1: [RIT 227 - 254] Identifies the zeros of a polynomial function from a graph

Graphs of Polynomial Functions

Study the graphs of polynomials up to the fourth degree. Vary the coefficients of the equation and investigate how the graph changes in response. Explore things like intercepts, end behavior, and even near-zero behavior. 5 Minute Preview

Polynomials and Linear Factors

Create a polynomial as a product of linear factors. Vary the values in the linear factors to see how their connection to the roots of the function. 5 Minute Preview

3.2.4.2: [RIT 262 - 274] Factors polynomial functions to determine zeros

Polynomials and Linear Factors

Create a polynomial as a product of linear factors. Vary the values in the linear factors to see how their connection to the roots of the function. 5 Minute Preview

3.2.4.4: [RIT 267 - 267] Evaluates a polynomial function using synthetic division

Dividing Polynomials Using Synthetic Division

Divide a polynomial by dragging the correct numbers into the correct positions for synthetic division. Compare the interpreted polynomial division to the synthetic division. 5 Minute Preview

3.2.4.5: [RIT 270 - 270] Identifies key features of a polynomial function given a graph

Graphs of Polynomial Functions

Study the graphs of polynomials up to the fourth degree. Vary the coefficients of the equation and investigate how the graph changes in response. Explore things like intercepts, end behavior, and even near-zero behavior. 5 Minute Preview

Polynomials and Linear Factors

Create a polynomial as a product of linear factors. Vary the values in the linear factors to see how their connection to the roots of the function. 5 Minute Preview

3.2.4.6: [RIT 270 - 270] Describes the effects of transformations on the graphs of polynomial functions, including the transformations y = af(x), y = f(ax), y = f(x - a), and y = f(x) + a

Quadratics in Polynomial Form

Compare the graph of a quadratic to its equation in polynomial form. Vary the coefficients of the equation and explore how the graph changes in response. 5 Minute Preview

Quadratics in Vertex Form

Compare the graph of a quadratic to its equation in vertex form. Vary the terms of the equation and explore how the graph changes in response. 5 Minute Preview

Translating and Scaling Functions

Vary the coefficients in the equation of a function and examine how the graph of the function is translated or scaled. Select different functions to translate and scale, and determine what they have in common. 5 Minute Preview

3.2.4.7: [RIT 284 - 286] Identifies the factors of a polynomial function from a graph

Polynomials and Linear Factors

3.2.5: Rate of Change/Slope

3.2.5.1: [RIT 202 - 249] Compares the rate of change between two proportional relationships represented in different ways

Direct and Inverse Variation

Adjust the constant of variation and explore how the graph of the direct or inverse variation function changes in response. Compare direct variation functions to inverse variation functions. 5 Minute Preview

3.2.5.2: [RIT 212 - 255] Interprets the meaning of the slope of a graph in a real-world linear relationship

Distance-Time Graphs

Create a graph of a runner's position versus time and watch the runner complete a 40-yard dash based on the graph you made. Notice the connection between the slope of the line and the speed of the runner. What will the runner do if the slope of the line is zero? What if the slope is negative? Add a second runner (a second graph) and connect real-world meaning to the intersection of two graphs. 5 Minute Preview

Distance-Time and Velocity-Time Graphs

Create a graph of a runner's position versus time and watch the runner run a 40-yard dash based on the graph you made. Notice the connection between the slope of the line and the velocity of the runner. Add a second runner (a second graph) and connect real-world meaning to the intersection of two graphs. Also experiment with a graph of velocity versus time for the runners, and also distance traveled versus time. 5 Minute Preview

Elevator Operator (Line Graphs)

Operate an elevator in an old apartment building. Pick up and drop off residents where they want to go. A line graph shows where the elevator traveled over time. Operate the elevator either by using the standard up and down controls, or by building a graph to program where you want it to go. 5 Minute Preview

3.2.5.3: [RIT 213 - 236] Calculates the rate of change from a graph representing a real-world linear relationship

Distance-Time Graphs

Create a graph of a runner's position versus time and watch the runner complete a 40-yard dash based on the graph you made. Notice the connection between the slope of the line and the speed of the runner. What will the runner do if the slope of the line is zero? What if the slope is negative? Add a second runner (a second graph) and connect real-world meaning to the intersection of two graphs. 5 Minute Preview

Distance-Time and Velocity-Time Graphs

Create a graph of a runner's position versus time and watch the runner run a 40-yard dash based on the graph you made. Notice the connection between the slope of the line and the velocity of the runner. Add a second runner (a second graph) and connect real-world meaning to the intersection of two graphs. Also experiment with a graph of velocity versus time for the runners, and also distance traveled versus time. 5 Minute Preview

Elevator Operator (Line Graphs)

Operate an elevator in an old apartment building. Pick up and drop off residents where they want to go. A line graph shows where the elevator traveled over time. Operate the elevator either by using the standard up and down controls, or by building a graph to program where you want it to go. 5 Minute Preview

3.2.5.4: [RIT 215 - 245] Calculates the rate of change from a table or description of a real-world linear relationship

Direct and Inverse Variation

Adjust the constant of variation and explore how the graph of the direct or inverse variation function changes in response. Compare direct variation functions to inverse variation functions. 5 Minute Preview

Distance-Time Graphs

Create a graph of a runner's position versus time and watch the runner complete a 40-yard dash based on the graph you made. Notice the connection between the slope of the line and the speed of the runner. What will the runner do if the slope of the line is zero? What if the slope is negative? Add a second runner (a second graph) and connect real-world meaning to the intersection of two graphs. 5 Minute Preview

Slope-Intercept Form of a Line

Compare the slope-intercept form of a linear equation to its graph. Vary the coefficients and explore how the graph changes in response. 5 Minute Preview

3.2.5.5: [RIT 216 - 222] Determines the coordinates of the point representing the unit rate on a graph of a proportional relationship

Direct and Inverse Variation

Adjust the constant of variation and explore how the graph of the direct or inverse variation function changes in response. Compare direct variation functions to inverse variation functions. 5 Minute Preview

3.2.5.6: [RIT 216 - 225] Identifies the unit rate from the graph of a proportional relationship

Direct and Inverse Variation

3.2.5.7: [RIT 227 - 257] Calculates the rate of change of a piecewise function over a given interval

Distance-Time Graphs

Distance-Time and Velocity-Time Graphs

Create a graph of a runner's position versus time and watch the runner run a 40-yard dash based on the graph you made. Notice the connection between the slope of the line and the velocity of the runner. Add a second runner (a second graph) and connect real-world meaning to the intersection of two graphs. Also experiment with a graph of velocity versus time for the runners, and also distance traveled versus time. 5 Minute Preview

Elevator Operator (Line Graphs)

Operate an elevator in an old apartment building. Pick up and drop off residents where they want to go. A line graph shows where the elevator traveled over time. Operate the elevator either by using the standard up and down controls, or by building a graph to program where you want it to go. 5 Minute Preview

3.2.5.9: [RIT 237 - 250] Identifies the y-intercept and the slope of a line given an equation of the line in the form y = mx+b

Point-Slope Form of a Line

Compare the point-slope form of a linear equation to its graph. Vary the coefficients and explore how the graph changes in response. 5 Minute Preview

Slope-Intercept Form of a Line

Compare the slope-intercept form of a linear equation to its graph. Vary the coefficients and explore how the graph changes in response. 5 Minute Preview

3.2.5.10: [RIT 238 - 258] Understands that the slope is the same between any two points on a line

Slope-Intercept Form of a Line

3.2.5.11: [RIT 239 - 262] Determines the y-intercept and the slope of a line given an equation of the line in a form other than y = mx+b

Point-Slope Form of a Line

Compare the point-slope form of a linear equation to its graph. Vary the coefficients and explore how the graph changes in response. 5 Minute Preview

Standard Form of a Line

Compare the standard form of a linear equation to its graph. Vary the coefficients and explore how the graph changes in response. 5 Minute Preview

3.2.5.12: [RIT 243 - 243] Compares the rate of change and intercepts between two nonproportional linear functions represented in the same way

Point-Slope Form of a Line

Compare the point-slope form of a linear equation to its graph. Vary the coefficients and explore how the graph changes in response. 5 Minute Preview

Standard Form of a Line

Compare the standard form of a linear equation to its graph. Vary the coefficients and explore how the graph changes in response. 5 Minute Preview

3.2.5.13: [RIT 244 - 246] Interprets the meaning of the slope for the equation y = mx + b within the context of a real-world linear relationship

Slope-Intercept Form of a Line

3.2.5.14: [RIT 247 - 250] Calculates the slope of a line on a graph

Distance-Time Graphs

Distance-Time and Velocity-Time Graphs

Slope

Explore the slope of a line, and learn how to calculate slope. Adjust the line by moving points that are on the line, and see how its slope changes. 5 Minute Preview

3.2.5.15: [RIT 248 - 259] Calculates the slope of a line given ordered pairs

Point-Slope Form of a Line

Slope

Explore the slope of a line, and learn how to calculate slope. Adjust the line by moving points that are on the line, and see how its slope changes. 5 Minute Preview

Slope-Intercept Form of a Line

3.2.6: Quadratic Functions

3.2.6.1: [RIT 214 - 214] Interprets zeros, extreme values, and symmetry of a graph within the context of a real-world quadratic relationship

Quadratics in Polynomial Form

Compare the graph of a quadratic to its equation in polynomial form. Vary the coefficients of the equation and explore how the graph changes in response. 5 Minute Preview

3.2.6.3: [RIT 230 - 249] Describes the effects that changes in the constant terms have on the graphs of quadratic functions

Quadratics in Polynomial Form

Compare the graph of a quadratic to its equation in polynomial form. Vary the coefficients of the equation and explore how the graph changes in response. 5 Minute Preview

Zap It! Game

Adjust the values in a quadratic function, in vertex form or in polynomial form, to "zap" as many data points as possible. 5 Minute Preview

3.2.6.4: [RIT 232 - 251] Evaluates a quadratic function for a given value in its domain

Quadratics in Factored Form

Investigate the factors of a quadratic through its graph and through its equation. Vary the roots of the quadratic and examine how the graph and the equation change in response. 5 Minute Preview

Quadratics in Polynomial Form

3.2.6.5: [RIT 237 - 259] Evaluates a quadratic function for a given value in its domain to solve a real-world problem

Quadratics in Polynomial Form

3.2.6.6: [RIT 239 - 255] Identifies the vertex, intercepts, or axis of symmetry of a quadratic functionÂ givenÂ a graph

Quadratics in Factored Form

Investigate the factors of a quadratic through its graph and through its equation. Vary the roots of the quadratic and examine how the graph and the equation change in response. 5 Minute Preview

Quadratics in Polynomial Form

Quadratics in Vertex Form

Compare the graph of a quadratic to its equation in vertex form. Vary the terms of the equation and explore how the graph changes in response. 5 Minute Preview

Roots of a Quadratic

Find the root of a quadratic using its graph or the quadratic formula. Explore the graph of the roots and the point of symmetry in the complex plane. Compare the axis of symmetry and graph of the quadratic in the real plane. 5 Minute Preview

3.2.6.7: [RIT 242 - 261] Determines the zeros of a quadratic function from a table of values

Quadratics in Polynomial Form

Quadratics in Vertex Form

Compare the graph of a quadratic to its equation in vertex form. Vary the terms of the equation and explore how the graph changes in response. 5 Minute Preview

3.2.6.9: [RIT 247 - 280] Graphs quadratic functions

Quadratics in Polynomial Form

Quadratics in Vertex Form

3.2.6.10: [RIT 249 - 276] Graphs transformations of quadratic functions, including the transformations y = af(x), y = f(ax), y = f(x - a), and y = f(x) + a

Quadratics in Polynomial Form

Quadratics in Vertex Form

3.2.6.11: [RIT 250 - 280] Determines the maximum, minimum, y-intercept, or zeros of a quadratic function to solve real-world problems

Quadratics in Polynomial Form

3.2.6.12: [RIT 253 - 253] Recognizes the graph of a quadratic relationship

Quadratics in Factored Form

Investigate the factors of a quadratic through its graph and through its equation. Vary the roots of the quadratic and examine how the graph and the equation change in response. 5 Minute Preview

Quadratics in Polynomial Form

Quadratics in Vertex Form

Roots of a Quadratic

Find the root of a quadratic using its graph or the quadratic formula. Explore the graph of the roots and the point of symmetry in the complex plane. Compare the axis of symmetry and graph of the quadratic in the real plane. 5 Minute Preview

3.2.6.13: [RIT 254 - 268] Writes a quadratic function given the zeros

Quadratics in Factored Form

Quadratics in Polynomial Form

3.2.6.14: [RIT 259 - 259] Writes a quadratic function to represent real-world or mathematical contexts

Quadratics in Factored Form

Quadratics in Polynomial Form

Roots of a Quadratic

Find the root of a quadratic using its graph or the quadratic formula. Explore the graph of the roots and the point of symmetry in the complex plane. Compare the axis of symmetry and graph of the quadratic in the real plane. 5 Minute Preview

3.2.6.16: [RIT 261 - 275] Determines an x-intercept of a quadratic function given the other x-intercept and the vertex or the axis of symmetry

Quadratics in Polynomial Form

Roots of a Quadratic

3.2.6.17: [RIT 261 - 275] Determines the vertex, intercepts, or axis of symmetry of a quadratic function given an equation

Quadratics in Factored Form

Quadratics in Polynomial Form

Quadratics in Vertex Form

Roots of a Quadratic

3.2.6.18: [RIT 262 - 289] Describes the effects that changes in the coefficients have on the graphs of quadratic functions

Quadratics in Polynomial Form

Roots of a Quadratic

Zap It! Game

Adjust the values in a quadratic function, in vertex form or in polynomial form, to "zap" as many data points as possible. 5 Minute Preview

3.2.6.19: [RIT 265 - 265] Understands the relationship between the zeros of a function and the x-intercepts of the graph of the function

Quadratics in Factored Form

Quadratics in Polynomial Form

Quadratics in Vertex Form

Roots of a Quadratic

3.2.6.20: [RIT 269 - 269] Determines the zeros of a quadratic function by factoring

Quadratics in Factored Form

Quadratics in Polynomial Form

Roots of a Quadratic

3.2.6.21: [RIT 270 - 272] Writes a quadratic function given a graph

Quadratics in Factored Form

3.2.6.22: [RIT 272 - 277] Rewrites a quadratic equation into vertex form

Quadratics in Vertex Form

3.2.7: Linear Functions

3.2.7.1: [RIT 192 - 233] Graphs a linear function of the form y = mx given a simple scenario

Direct and Inverse Variation

3.2.7.2: [RIT 195 - 256] Interprets the meaning of the y-intercept of a graph within the context of a real-world linear relationship

Slope-Intercept Form of a Line

3.2.7.3: [RIT 198 - 206] Expresses the linear relationship between variables in words

Points, Lines, and Equations

Slope-Intercept Form of a Line

3.2.7.4: [RIT 200 - 249] Translates between the graph of a piecewise linear function and a verbal description of the real-world relationship

Distance-Time Graphs

Distance-Time and Velocity-Time Graphs

3.2.7.7: [RIT 219 - 259] Writes an equation in the form y = mx + b to represent the relationship between real-world quantities given the slope and y-intercept

Slope-Intercept Form of a Line

3.2.7.8: [RIT 219 - 232] Identifies the table of values given a graph of a linear relationship in the form y = mx + b

Points, Lines, and Equations

Slope-Intercept Form of a Line

3.2.7.10: [RIT 224 - 252] Understands independent and dependent variables within a linear context

Linear Functions

Determine if a relation is a function from the mapping diagram, ordered pairs, or graph. Use the graph to determine if it is linear. 5 Minute Preview

3.2.7.11: [RIT 226 - 240] Writes an equation in the form y = mx to represent the relationship between real-world quantities given a simple scenario

Direct and Inverse Variation

3.2.7.13: [RIT 228 - 259] Writes the equation of a line in the form y = mx + b given a table of values or two ordered pairs

Slope-Intercept Form of a Line

3.2.7.14: [RIT 229 - 237] Translates between the graph of a linear function and a verbal description of the real-world relationship

Slope-Intercept Form of a Line

3.2.7.16: [RIT 231 - 233] Describes a situation that can be represented by a given linear equation

Slope-Intercept Form of a Line

3.2.7.17: [RIT 235 - 243] Interprets the meaning of the constant term in the equation y = mx + b within the context of a real-world linear relationship

Slope-Intercept Form of a Line

3.2.7.20: [RIT 235 - 235] Identifies an intercept of a graph of a linear function

Standard Form of a Line

3.2.7.21: [RIT 237 - 274] Writes an equation in the form y = mx + b to represent the relationship between real-world quantities given a complex scenario

Slope-Intercept Form of a Line

3.2.7.22: [RIT 238 - 253] Solves direct variation problems

Direct and Inverse Variation

3.2.7.26: [RIT 240 - 240] Writes an equation in the form y = mx + b to represent the relationship between real-world quantities given a simple scenario

Direct and Inverse Variation

Slope-Intercept Form of a Line

3.2.7.28: [RIT 241 - 241] Writes an equation in standard form to represent the relationship between real-world quantities given a scenario

Standard Form of a Line

3.2.7.29: [RIT 243 - 243] Recognizes direct variation situations

Direct and Inverse Variation

3.2.7.30: [RIT 244 - 251] Graphs the equation of a line in the form y = mx + b

Slope-Intercept Form of a Line

3.2.7.32: [RIT 245 - 261] Describes the effects that changes in the constant terms have on the graphs of linear functions

Slope-Intercept Form of a Line

3.2.7.34: [RIT 250 - 262] Illustrates the result of changes in the slope and y-intercept within a real-world linear relationship

Slope-Intercept Form of a Line

3.2.7.35: [RIT 250 - 250] Determines the y-intercept of a line given two points on the line

Points, Lines, and Equations