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- Growth: High School Integrated Math 1 (2020)

# Growth: High School Integrated Math 1 (2020)

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

1.1: Number Sense: Real Numbers

1.1.1: Decimals: Represent/Model

1.1.1.1: [RIT 209 - 221] Locates decimals to the hundredths on a number line

Modeling Decimals (Area and Grid Models)

Model and compare decimals using area models. Set the number of sections in each model to 1, 10, or 100, and then click in the models to shade sections. Compare decimals visually and on a number line. 5 Minute Preview

Treasure Hunter (Decimals on the Number Line)

Drive a desert highway searching for buried treasure. Learn to use the car's tens, ones, tenths, and hundredths gears, along with a GPS system (number line), to find the right place to dig. Plot your findings on a zoomable number line map. Can you become a master Treasure Hunter? 5 Minute Preview

1.1.2: Exponents

1.1.2.1: [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

1.1.3: Absolute Value: Concepts/Properties

1.1.3.1: [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

1.1.3.3: [RIT 241 - 245] Interprets the absolute value of rational numbers in terms of their relative position to 0 in a given real-world situation

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

1.1.4: Properties and Relationships of Operations

1.1.4.1: [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

1.1.6: Rational Numbers: Equivalence

1.1.6.1: [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

1.1.6.2: [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

1.1.6.5: [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

1.1.7: Rational Numbers: Compare/Order

1.1.7.3: [RIT 201 - 235] Compares integers that represent quantities in a real-world context

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

1.1.7.5: [RIT 207 - 214] Justifies a comparison of two rational numbers using a number line

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

1.1.7.6: [RIT 207 - 211] Compares two rational numbers shown on a number line

Rational Numbers, Opposites, and Absolute Values

1.1.7.7: [RIT 209 - 239] Compares integers given the meaning of zero within a real-world situation

Integers, Opposites, and Absolute Values

1.1.7.8: [RIT 211 - 211] Compares integers

Integers, Opposites, and Absolute Values

1.1.7.9: [RIT 213 - 230] Compares two rational numbers using a number line

Rational Numbers, Opposites, and Absolute Values

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

Rational Numbers, Opposites, and Absolute Values

1.1.7.11: [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

1.1.7.12: [RIT 230 - 230] Orders 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

1.1.8: Rational Numbers: Represent/Model

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

Integers, Opposites, and Absolute Values

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

Integers, Opposites, and Absolute Values

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

Rational Numbers, Opposites, and Absolute Values

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

Rational Numbers, Opposites, and Absolute Values

1.1.8.5: [RIT 233 - 233] Locates the opposite of a negative rational number on a number line

Rational Numbers, Opposites, and Absolute Values

1.1.8.6: [RIT 237 - 237] Identifies values that are a given distance from a point on a number line

Integers, Opposites, and Absolute Values

1.1.9: Scientific Notation

1.1.9.1: [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

1.1.9.2: [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 221 - 253] Understands that the product of a negative number and a positive number is negative

Adding and Subtracting Integers

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

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

Integers, Opposites, and Absolute Values

1.2.1.5: [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

1.2.1.6: [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

1.2.1.7: [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

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

Integers, Opposites, and Absolute Values

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

Solving Algebraic Equations I

1.2.1.10: [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

1.2.1.11: [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 196 - 240] Identifies true statements about number-theory concepts, including prime, composite, multiples, factors, least common multiples, and 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

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

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

1.3.1.2: [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

1.3.1.3: [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

1.3.1.4: [RIT 207 - 235] Solves problems involving factors and multiples

Factor Trees (Factoring Numbers)

Finding Factors with Area Models

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

1.3.1.5: [RIT 208 - 246] 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

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

Factor Trees (Factoring Numbers)

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

Pattern Flip (Patterns)

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

Pattern Flip (Patterns)

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

Factor Trees (Factoring Numbers)

Finding Factors with Area Models

1.3.1.11: [RIT 219 - 245] Determines common factors

Pattern Flip (Patterns)

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

Factor Trees (Factoring Numbers)

Finding Factors with Area Models

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

Factor Trees (Factoring Numbers)

Finding Factors with Area Models

1.3.1.14: [RIT 223 - 239] Applies multiple tests for divisibility

Factor Trees (Factoring Numbers)

Finding Factors with Area Models

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

Finding Factors with Area Models

1.3.1.17: [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 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

2.1.2: Exponents

2.1.2.1: [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

2.1.2.2: [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

2.1.3: Properties and Relationships of Operations

2.1.3.2: [RIT 242 - 242] Determines the distance between two integers on a number line

Adding and Subtracting Integers

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

2.1.4: Rational Numbers: Computation

2.1.4.1: [RIT 207 - 223] Identifies two rational numbers that combine to make 0

Rational Numbers, Opposites, and Absolute Values

2.1.4.3: [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

2.1.4.4: [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 203 - 203] Adds and subtracts integers using a number line

Adding and Subtracting Integers

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

2.1.8.2: [RIT 205 - 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 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

2.1.8.4: [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

2.1.8.5: [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, Proportion, Percent, and Rate

2.2.1: Conversion of Units

2.2.1.1: [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

2.2.1.2: [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

2.2.2.5: [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 202 - 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

2.2.2.8: [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 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

2.2.2.10: [RIT 204 - 231] Solves real-world problems involving rates associated with a ratio

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

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

Road Trip (Problem Solving)

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

Road Trip (Problem Solving)

2.2.2.13: [RIT 207 - 212] Identifies ratios between two quantities not from the same whole

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

2.2.2.15: [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

2.2.2.16: [RIT 209 - 209] Recognizes a ratio within a context

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

Percents, Fractions, and Decimals

2.2.2.17: [RIT 210 - 241] Identifies the part-to-whole ratio between two quantities

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

2.2.2.19: [RIT 214 - 249] Determines equivalent ratios

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

Percents, Fractions, and Decimals

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

Road Trip (Problem Solving)

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

Percents and Proportions

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

Road Trip (Problem Solving)

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

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

2.2.2.25: [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

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

Percents and Proportions

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

Road Trip (Problem Solving)

2.2.2.28: [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

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

Percents and Proportions

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

Percents and Proportions

2.2.2.32: [RIT 226 - 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

2.2.2.33: [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

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

Percent of Change

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

Percent of Change

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

Percent of Change

Percents and Proportions

2.2.2.38: [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

2.2.2.39: [RIT 247 - 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 203 - 239] Converts between decimals and percents less than 100%

Fraction, Decimal, Percent (Area and Grid Models)

Percents, Fractions, and Decimals

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

Fraction, Decimal, Percent (Area and Grid Models)

Percents, Fractions, and Decimals

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

Fraction, Decimal, Percent (Area and Grid Models)

Percents, Fractions, and Decimals

2.2.3.5: [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

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

Fraction, Decimal, Percent (Area and Grid Models)

Percents, Fractions, and Decimals

2.2.3.7: [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

2.3: 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 - 209] 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

### 3: Measurement

3.1: Perimeter and Circumference

3.1.1: Perimeter/Circumference

3.1.1.1: [RIT 200 - 245] Solves problems involving perimeters of rectangles within a real-world or mathematical context

Fido's Flower Bed (Perimeter and Area)

Construct models of gardens on a grid using squares of sod. Fence the gardens to find and compare perimeters. Work with pre-built gardens made of 36 squares each to compare perimeters of shapes with equal areas. 5 Minute Preview

Perimeter and Area of Rectangles

Discover how to find the perimeter and area of a rectangle, and of a square (which is really just a special case of a rectangle). 5 Minute Preview

3.1.1.2: [RIT 213 - 239] Determines the circumference of circles, given the formula

Circumference and Area of Circles

Resize a circle and compare its radius, circumference, and area. 5 Minute Preview

3.1.1.3: [RIT 213 - 251] Determines the circumference of circles, formula not provided

Circumference and Area of Circles

Resize a circle and compare its radius, circumference, and area. 5 Minute Preview

3.1.1.4: [RIT 220 - 238] Solves problems involving decimals and perimeters of rectangles within a real-world or mathematical context

Perimeter and Area of Rectangles

Discover how to find the perimeter and area of a rectangle, and of a square (which is really just a special case of a rectangle). 5 Minute Preview

3.1.1.6: [RIT 231 - 231] Determines the ratio between perimeters of scaled figures

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

3.1.1.7: [RIT 232 - 240] Describes the effect on perimeter when dimensions of a non-rectangular polygon are changed

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

3.1.1.8: [RIT 233 - 244] Identifies the formula for the perimeter of a polygon

Perimeter and Area of Rectangles

Discover how to find the perimeter and area of a rectangle, and of a square (which is really just a special case of a rectangle). 5 Minute Preview

3.1.1.9: [RIT 248 - 248] Solves problems involving perimeters of non-rectangular polygons within a real-world or mathematical context

Fido's Flower Bed (Perimeter and Area)

Construct models of gardens on a grid using squares of sod. Fence the gardens to find and compare perimeters. Work with pre-built gardens made of 36 squares each to compare perimeters of shapes with equal areas. 5 Minute Preview

3.2: Area and Surface Area

3.2.1: Area

3.2.1.1: [RIT 200 - 222] Determines the area of rectangles with whole-number sides, given the formula

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

Perimeter and Area of Rectangles

3.2.1.2: [RIT 201 - 224] Determines the area of rectangles with whole-number sides, formula not provided

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

Perimeter and Area of Rectangles

3.2.1.3: [RIT 206 - 224] Determines side lengths given the area of rectangles

Perimeter and Area of Rectangles

3.2.1.4: [RIT 206 - 226] Determines the area of figures composed of whole and partial unit squares

Multiplying Decimals (Area Model)

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

3.2.1.5: [RIT 209 - 238] Solves problems involving areas of rectangles within a real-world or mathematical context

Chocomatic (Multiplication, Arrays, and Area)

Use the Chocomatic to design candy bars made out of chocolate squares. Use multiplication to find the number of squares in each chocolate bar. Build collections of chocolate bars that all have the same number of squares. Solve multiplication problems by joining two smaller chocolate bars into a large bar. 5 Minute Preview

Multiplying Decimals (Area Model)

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

Perimeter and Area of Rectangles

3.2.1.6: [RIT 213 - 250] Determines the area of parallelograms, formula not provided

Area of Parallelograms

Examine and manipulate a parallelogram and find its area. Explore the relationship between the area of a parallelogram and the area of a rectangle using an animation. 5 Minute Preview

3.2.1.8: [RIT 216 - 216] Determines the area of rectangles with decimal sides, given the formula

Perimeter and Area of Rectangles

3.2.1.9: [RIT 218 - 235] Determines the area of triangles,Â given the formula

Area of Triangles

Use a dynamic triangle to explore the area of a triangle. With the help of an animation, see that any triangle is always half of a parallelogram (with the same base and height). Likewise, a similar animation shows the connection between parallelograms and rectangles. 5 Minute Preview

3.2.1.10: [RIT 223 - 245] Solves problems involving both area and perimeter of rectangles within a real-world or mathematical context

Fido's Flower Bed (Perimeter and Area)

Construct models of gardens on a grid using squares of sod. Fence the gardens to find and compare perimeters. Work with pre-built gardens made of 36 squares each to compare perimeters of shapes with equal areas. 5 Minute Preview

Perimeter and Area of Rectangles

3.2.1.11: [RIT 223 - 242] Determines the area of rectangles with decimal sides, formula not provided

Perimeter and Area of Rectangles

3.2.1.12: [RIT 224 - 224] Determines the base or height given the area of a parallelogram

Area of Parallelograms

Examine and manipulate a parallelogram and find its area. Explore the relationship between the area of a parallelogram and the area of a rectangle using an animation. 5 Minute Preview

3.2.1.13: [RIT 224 - 252] Describes the effect on area when dimensions of a triangle are changed

Area of Triangles

Use a dynamic triangle to explore the area of a triangle. With the help of an animation, see that any triangle is always half of a parallelogram (with the same base and height). Likewise, a similar animation shows the connection between parallelograms and rectangles. 5 Minute Preview

3.2.1.14: [RIT 224 - 257] Describes the effect on area when dimensions of a rectangle are changed

Perimeter and Area of Rectangles

3.2.1.16: [RIT 228 - 267] Solves problems involving areas of figures composed of polygons within a real-world or mathematical context

Area of Parallelograms

Examine and manipulate a parallelogram and find its area. Explore the relationship between the area of a parallelogram and the area of a rectangle using an animation. 5 Minute Preview

Area of Triangles

Use a dynamic triangle to explore the area of a triangle. With the help of an animation, see that any triangle is always half of a parallelogram (with the same base and height). Likewise, a similar animation shows the connection between parallelograms and rectangles. 5 Minute Preview

Chocomatic (Multiplication, Arrays, and Area)

Use the Chocomatic to design candy bars made out of chocolate squares. Use multiplication to find the number of squares in each chocolate bar. Build collections of chocolate bars that all have the same number of squares. Solve multiplication problems by joining two smaller chocolate bars into a large bar. 5 Minute Preview

Fido's Flower Bed (Perimeter and Area)

Perimeter and Area of Rectangles

3.2.1.19: [RIT 232 - 232] Identifies the formula for the area of a circle

Circumference and Area of Circles

Resize a circle and compare its radius, circumference, and area. 5 Minute Preview

3.2.1.20: [RIT 234 - 239] Determines the area of circles,Â given the formula

Circumference and Area of Circles

Resize a circle and compare its radius, circumference, and area. 5 Minute Preview

3.2.1.21: [RIT 234 - 241] Determines the area of figures composed of rectangles

Chocomatic (Multiplication, Arrays, and Area)

Use the Chocomatic to design candy bars made out of chocolate squares. Use multiplication to find the number of squares in each chocolate bar. Build collections of chocolate bars that all have the same number of squares. Solve multiplication problems by joining two smaller chocolate bars into a large bar. 5 Minute Preview

Fido's Flower Bed (Perimeter and Area)

Perimeter and Area of Rectangles

3.2.1.22: [RIT 235 - 260] Determines the perimeter of rectangles given the area

Fido's Flower Bed (Perimeter and Area)

3.2.1.23: [RIT 236 - 254] Determines the area of triangles, formula not provided

Area of Triangles

3.2.1.24: [RIT 236 - 260] Determines the area of figures composed of polygons

Area of Parallelograms

Area of Triangles

Chocomatic (Multiplication, Arrays, and Area)

Fido's Flower Bed (Perimeter and Area)

3.2.1.25: [RIT 237 - 250] Determines the area of rectangles given the perimeter

Perimeter and Area of Rectangles

3.2.1.26: [RIT 240 - 269] Determines the ratio between areas of scaled figures

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

3.2.1.27: [RIT 242 - 259] Solves problems involving areas of polygons and circles, quarter circles, semicircles, or three-quarter circles within a real-world or mathematical context

Circumference and Area of Circles

Resize a circle and compare its radius, circumference, and area. 5 Minute Preview

3.2.1.28: [RIT 244 - 260] Determines the circumference given the area of a circle

Circumference and Area of Circles

Resize a circle and compare its radius, circumference, and area. 5 Minute Preview

3.2.1.33: [RIT 247 - 247] Determines the radius or diameter given the area of a circle

Circumference and Area of Circles

Resize a circle and compare its radius, circumference, and area. 5 Minute Preview

3.2.1.34: [RIT 249 - 257] Determines the area of circles, formula not provided

Circumference and Area of Circles

Resize a circle and compare its radius, circumference, and area. 5 Minute Preview

3.2.1.35: [RIT 251 - 251] Determines the area of figures composed of polygons and circles

Circumference and Area of Circles

Resize a circle and compare its radius, circumference, and area. 5 Minute Preview

3.2.1.38: [RIT 260 - 270] Describes the effect on area when the radius or diameter of a circle is changed

Circumference and Area of Circles

Resize a circle and compare its radius, circumference, and area. 5 Minute Preview

3.2.1.39: [RIT 261 - 261] Describes the effect on area when the circumference of a circle is changed

Circumference and Area of Circles

Resize a circle and compare its radius, circumference, and area. 5 Minute Preview

3.2.1.41: [RIT 265 - 265] Solves problems involving areas of circles within a real-world or mathematical context

Circumference and Area of Circles

Resize a circle and compare its radius, circumference, and area. 5 Minute Preview

3.2.3: Surface Area

3.2.3.1: [RIT 236 - 246] Uses the net of a prism to solve surface area problems within a real-world or mathematical context

Surface and Lateral Areas of Prisms and Cylinders

Vary the dimensions of a prism or cylinder and investigate how the surface area changes. Use the dynamic net of the solid to compute the lateral area and the surface area of the solid. 5 Minute Preview

3.2.3.2: [RIT 238 - 261] Determines the surface area of rectangular prisms or cubes, formula not provided

Surface and Lateral Areas of Prisms and Cylinders

Vary the dimensions of a prism or cylinder and investigate how the surface area changes. Use the dynamic net of the solid to compute the lateral area and the surface area of the solid. 5 Minute Preview

3.2.3.4: [RIT 240 - 248] Determines the surface area of a prism given a net

Surface and Lateral Areas of Prisms and Cylinders

Vary the dimensions of a prism or cylinder and investigate how the surface area changes. Use the dynamic net of the solid to compute the lateral area and the surface area of the solid. 5 Minute Preview

3.2.3.5: [RIT 241 - 241] Determines the surface area of cylinders, given the formula

Surface and Lateral Areas of Prisms and Cylinders

3.2.3.6: [RIT 246 - 246] Determines the surface area of cones, given the formula

Surface and Lateral Areas of Pyramids and Cones

Vary the dimensions of a pyramid or cone and investigate how the surface area changes. Use the dynamic net of the solid to compute the lateral area and the surface area of the solid. 5 Minute Preview

3.2.3.7: [RIT 251 - 252] Determines the surface area of pyramids, given the formula

Surface and Lateral Areas of Pyramids and Cones

Vary the dimensions of a pyramid or cone and investigate how the surface area changes. Use the dynamic net of the solid to compute the lateral area and the surface area of the solid. 5 Minute Preview

3.2.3.8: [RIT 252 - 252] Determines the surface area of triangular prisms, formula not provided

Surface and Lateral Areas of Prisms and Cylinders

3.2.3.9: [RIT 252 - 256] Determines the surface area of pyramids, formula not provided

Surface and Lateral Areas of Pyramids and Cones

Vary the dimensions of a pyramid or cone and investigate how the surface area changes. Use the dynamic net of the solid to compute the lateral area and the surface area of the solid. 5 Minute Preview

3.2.3.10: [RIT 255 - 263] Describes the effect on surface area when dimensions of a rectangular prism are changed

Surface and Lateral Areas of Prisms and Cylinders

3.2.3.12: [RIT 260 - 263] Solves problems involving surface areas of prisms within a real-world or mathematical context

Surface and Lateral Areas of Prisms and Cylinders

3.2.3.13: [RIT 266 - 269] Determines the surface area of cylinders, formula not provided

Surface and Lateral Areas of Prisms and Cylinders

3.3: Volume

3.3.1: Conversion of Units

3.3.1.1: [RIT 282 - 282] Converts units of volume within the same measurement system

Unit Conversions

Unit Conversions 2 - Scientific Notation and Significant Digits

3.3.2: Volume

3.3.2.1: [RIT 204 - 225] Determines the volume of figures by counting unit cubes

Balancing Blocks (Volume)

This Gizmo provides you with two challenges. First, use blocks to build a figure with a given volume. Then, try to balance the blocks on a platform that sits on the tip of a cone. The dimensions of the platform can be adjusted, and blocks can be added or deleted by clicking on the model. 5 Minute Preview

Measuring Volume

Measure the volume of liquids and solids using beakers, graduated cylinders, overflow cups, and rulers. Water can be poured from one container to another and objects can be added to containers. A pipette can be used to transfer small amounts of water, and a magnifier can be used to observe the meniscus in a graduated cylinder. Test your volume-measurement skills in the "Practice" mode of the Gizmo. 5 Minute Preview

3.3.2.2: [RIT 206 - 229] Determines the volume of rectangular prisms, given the formula

Balancing Blocks (Volume)

This Gizmo provides you with two challenges. First, use blocks to build a figure with a given volume. Then, try to balance the blocks on a platform that sits on the tip of a cone. The dimensions of the platform can be adjusted, and blocks can be added or deleted by clicking on the model. 5 Minute Preview

Measuring Volume

Measure the volume of liquids and solids using beakers, graduated cylinders, overflow cups, and rulers. Water can be poured from one container to another and objects can be added to containers. A pipette can be used to transfer small amounts of water, and a magnifier can be used to observe the meniscus in a graduated cylinder. Test your volume-measurement skills in the "Practice" mode of the Gizmo. 5 Minute Preview

Prisms and Cylinders

Vary the height and base-edge or radius length of a prism or cylinder and examine how its three-dimensional representation changes. Determine the area of the base and the volume of the solid. Compare the volume of an oblique prism or cylinder to the volume of a right prism or cylinder. 5 Minute Preview

3.3.2.3: [RIT 207 - 241] Determines the volume of rectangular prisms, formula not provided

Balancing Blocks (Volume)

This Gizmo provides you with two challenges. First, use blocks to build a figure with a given volume. Then, try to balance the blocks on a platform that sits on the tip of a cone. The dimensions of the platform can be adjusted, and blocks can be added or deleted by clicking on the model. 5 Minute Preview

Measuring Volume

Measure the volume of liquids and solids using beakers, graduated cylinders, overflow cups, and rulers. Water can be poured from one container to another and objects can be added to containers. A pipette can be used to transfer small amounts of water, and a magnifier can be used to observe the meniscus in a graduated cylinder. Test your volume-measurement skills in the "Practice" mode of the Gizmo. 5 Minute Preview

Prisms and Cylinders

Vary the height and base-edge or radius length of a prism or cylinder and examine how its three-dimensional representation changes. Determine the area of the base and the volume of the solid. Compare the volume of an oblique prism or cylinder to the volume of a right prism or cylinder. 5 Minute Preview

3.3.2.4: [RIT 207 - 232] Represents the volume of rectangular prismsÂ composed of unit cubes, using multiplication expressions or equations

Balancing Blocks (Volume)

3.3.2.5: [RIT 218 - 218] Solves problems involving rectangular prisms composed of unit cubes

Balancing Blocks (Volume)

Measuring Volume

3.3.2.6: [RIT 219 - 243] Recognizes situations which describe volume

Balancing Blocks (Volume)

Measuring Volume

Prisms and Cylinders

Vary the height and base-edge or radius length of a prism or cylinder and examine how its three-dimensional representation changes. Determine the area of the base and the volume of the solid. Compare the volume of an oblique prism or cylinder to the volume of a right prism or cylinder. 5 Minute Preview

Pyramids and Cones

Vary the height and base-edge or radius length of a pyramid or cone and examine how its three-dimensional representation changes. Determine the area of the base and the volume of the solid. Compare the volume of a skew pyramid or cone to the volume of a right pyramid or cone. 5 Minute Preview

3.3.2.7: [RIT 220 - 264] Solves problems involving volumes of rectangular prisms within a real-world or mathematical context

Balancing Blocks (Volume)

Measuring Volume

Prisms and Cylinders

3.3.2.8: [RIT 221 - 241] Represents the volume of rectangular prisms composed of unit cubes, using repeated addition expressions or equations

Balancing Blocks (Volume)

3.3.2.9: [RIT 225 - 234] Understands how volume is measured

Balancing Blocks (Volume)

Measuring Volume

Prisms and Cylinders

Pyramids and Cones

Vary the height and base-edge or radius length of a pyramid or cone and examine how its three-dimensional representation changes. Determine the area of the base and the volume of the solid. Compare the volume of a skew pyramid or cone to the volume of a right pyramid or cone. 5 Minute Preview

3.3.2.10: [RIT 226 - 226] Identifies the formula for the volume of a rectangular prism

Balancing Blocks (Volume)

Measuring Volume

Prisms and Cylinders

3.3.2.11: [RIT 227 - 268] Determines the volume of pyramids, given the formula

Pyramids and Cones

Vary the height and base-edge or radius length of a pyramid or cone and examine how its three-dimensional representation changes. Determine the area of the base and the volume of the solid. Compare the volume of a skew pyramid or cone to the volume of a right pyramid or cone. 5 Minute Preview

3.3.2.12: [RIT 227 - 244] Identifies units for measuring volume

Measuring Volume

Prisms and Cylinders

Pyramids and Cones

3.3.2.14: [RIT 231 - 253] Determines the volume of figures composed of rectangular prisms

Balancing Blocks (Volume)

Measuring Volume

Prisms and Cylinders

3.3.2.16: [RIT 237 - 240] Determines the volume of cylinders, given the formula

Prisms and Cylinders

3.3.2.17: [RIT 239 - 273] Describes the effect on volume when dimensions of a rectangular prism are changed

Prisms and Cylinders

3.3.2.19: [RIT 245 - 245] Determines the volume of spheres, given the formula

Measuring Volume

3.3.2.20: [RIT 250 - 275] Determines the volume of cylinders, formula not provided

Prisms and Cylinders

3.3.2.23: [RIT 254 - 274] Determines the volume of pyramids, formula not provided

Pyramids and Cones

3.3.2.25: [RIT 258 - 258] Determines the radius or diameter of a cylinder given the volume and height

Prisms and Cylinders

3.3.2.26: [RIT 259 - 278] Solves problems involving volumes of cylinders within a real-world or mathematical context

Prisms and Cylinders

3.3.2.31: [RIT 266 - 266] Solves problems involving volumes of 3-D figures composed of cones, cylinders, and spheres within a real-world or mathematical context

Measuring Volume

Prisms and Cylinders

Pyramids and Cones

3.3.2.32: [RIT 266 - 266] Determines the volume of figures composed of rectangular and triangular prisms

Balancing Blocks (Volume)

Measuring Volume

Prisms and Cylinders

3.3.2.34: [RIT 269 - 281] Understands that the volume of a cone is one-third the volume of a cylinder with the same base area and height

Pyramids and Cones

3.3.2.35: [RIT 270 - 270] Determines the volume of spheres, formula not provided

Measuring Volume

3.3.2.36: [RIT 273 - 273] Determines the volume of cones, formula not provided

Pyramids and Cones

3.3.2.37: [RIT 276 - 276] Solves problems involving volumes of cones within a real-world or mathematical context

Pyramids and Cones

### 4: Geometry

4.1: Points, Lines, Planes, and Angles

4.1.1: Points, Lines, Segments, Rays, and Angles

4.1.1.1: [RIT 193 - 196] Identifies parallel lines

Parallel, Intersecting, and Skew Lines

Explore the properties of intersecting, parallel, and skew lines as well as lines in the plane. Rotate the plane and lines in three-dimensional space to ensure a full understanding of these objects. 5 Minute Preview

4.1.1.2: [RIT 194 - 207] Identifies right angles

Classifying Triangles

Place constraints on a triangle and determine what classifications must apply to the triangle. 5 Minute Preview

4.1.1.3: [RIT 202 - 209] Identifies acute or obtuse angles

Classifying Triangles

Place constraints on a triangle and determine what classifications must apply to the triangle. 5 Minute Preview

4.1.1.4: [RIT 202 - 215] Identifies points, lines, rays, line segments, and angles

Parallel, Intersecting, and Skew Lines

Explore the properties of intersecting, parallel, and skew lines as well as lines in the plane. Rotate the plane and lines in three-dimensional space to ensure a full understanding of these objects. 5 Minute Preview

4.1.1.5: [RIT 203 - 203] Knows the definition of an acute angle

Classifying Triangles

Place constraints on a triangle and determine what classifications must apply to the triangle. 5 Minute Preview

4.1.1.6: [RIT 205 - 237] Recognizes precise definitions of parallel and perpendicular lines

Constructing Parallel and Perpendicular Lines

Construct parallel and perpendicular lines using a straightedge and compass. Use step-by-step explanations and feedback to develop understanding of the construction. 5 Minute Preview

Parallel, Intersecting, and Skew Lines

Explore the properties of intersecting, parallel, and skew lines as well as lines in the plane. Rotate the plane and lines in three-dimensional space to ensure a full understanding of these objects. 5 Minute Preview

4.1.1.7: [RIT 213 - 239] Identifies perpendicular lines involving real-world objects

Constructing Parallel and Perpendicular Lines

Construct parallel and perpendicular lines using a straightedge and compass. Use step-by-step explanations and feedback to develop understanding of the construction. 5 Minute Preview

4.1.1.8: [RIT 222 - 228] Understands what the measure of an angle represents

Investigating Angle Theorems

Explore the properties of complementary, supplementary, vertical, and adjacent angles using a dynamic figure. 5 Minute Preview

4.1.1.9: [RIT 236 - 237] Identifies perpendicular lines

Constructing Parallel and Perpendicular Lines

Construct parallel and perpendicular lines using a straightedge and compass. Use step-by-step explanations and feedback to develop understanding of the construction. 5 Minute Preview

4.1.1.10: [RIT 248 - 248] Defines midpoints of line segments

Segment and Angle Bisectors

Explore the special properties of a point that lies on the perpendicular bisector of a segment, and of a point that lies on an angle bisector. Manipulate the point, the segment, and the angle to see that these properties are always true. 5 Minute Preview

4.1.1.11: [RIT 275 - 275] Defines bisectors of line segments

Segment and Angle Bisectors

Explore the special properties of a point that lies on the perpendicular bisector of a segment, and of a point that lies on an angle bisector. Manipulate the point, the segment, and the angle to see that these properties are always true. 5 Minute Preview

4.1.2: Relationships involving Lines, Angles, and Polygons

4.1.2.1: [RIT 215 - 258] Calculates unknown angle measures using the properties of complementary, supplementary, and vertical angles