- Home
- Find Gizmos
- Browse by Core Curriculum
- NWEA Textbooks
- Growth: Grades 6+ Math - Measurement (2017)

# Growth: Grades 6+ Math - Measurement (2017)

### 4: Measurement

4.1: Length, Weight, Mass, Capacity & Angles

4.1.1: Angle Measurement

4.1.1.1: [RIT 161 - 161] Measures right angles using a protractor

Investigating Angle Theorems

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

4.1.1.2: [RIT 187 - 211] Compares angle measures to benchmark 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 187 - 236] Calculates unknown angle measures using the additive property of angles

Investigating Angle Theorems

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

4.1.1.4: [RIT 198 - 222] Identifies/estimates angle measures

Investigating Angle Theorems

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

4.1.1.5: [RIT 211 - 227] Measures non-right angles using a protractor

Investigating Angle Theorems

4.1.2: Conversion of Units

4.1.2.1: [RIT 185 - 223] Completes simple conversions of customary units of length

Cannonball Clowns (Number Line Estimation)

Launch clowns from a circus cannon and try to hit the target. Drag digit cards on the control panel to set the launch distance and choose an appropriate unit of distance. After practicing your clown-launching skills on a number line, move on to the Big Top, Football Field, School Buses, the Golden Gate Bridge, and more! 5 Minute Preview

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

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

4.1.2.2: [RIT 193 - 221] Completes simple conversions of customary units of capacity

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

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

4.1.2.3: [RIT 194 - 226] Completes simple conversions of customary units of weight

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

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

4.1.2.4: [RIT 202 - 239] Completes complex conversions of customary units of length involving fractions, decimals, or more than two units

Unit Conversions

Unit Conversions 2 - Scientific Notation and Significant Digits

4.1.2.5: [RIT 207 - 244] Converts units of length between the customary and the metric systems

Unit Conversions

Unit Conversions 2 - Scientific Notation and Significant Digits

4.1.2.6: [RIT 213 - 242] Adds, subtracts, multiplies, or divides multiple units of length

Unit Conversions

Unit Conversions 2 - Scientific Notation and Significant Digits

4.1.2.7: [RIT 213 - 239] Completes conversions of metric units of mass

Unit Conversions

Unit Conversions 2 - Scientific Notation and Significant Digits

4.1.2.8: [RIT 216 - 216] Solves multi-step capacity word problems involving whole numbers and conversion of customary units

Unit Conversions

Unit Conversions 2 - Scientific Notation and Significant Digits

4.1.2.9: [RIT 217 - 236] Completes complex conversions of customary units of capacity involving fractions, decimals, or more than two units

Unit Conversions

Unit Conversions 2 - Scientific Notation and Significant Digits

4.1.2.10: [RIT 219 - 243] Solves multi-step length word problems involving decimals or fractions and conversion of customary units

Unit Conversions

Unit Conversions 2 - Scientific Notation and Significant Digits

4.1.2.11: [RIT 222 - 232] Completes complex conversions of customary units of weight involving fractions, decimals, or more than two units

Unit Conversions

Unit Conversions 2 - Scientific Notation and Significant Digits

4.1.2.12: [RIT 224 - 242] Solves multi-step length word problems involving whole numbers and conversion of customary units

Unit Conversions

Unit Conversions 2 - Scientific Notation and Significant Digits

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

Unit Conversions

Unit Conversions 2 - Scientific Notation and Significant Digits

4.1.2.14: [RIT 227 - 253] Completes conversions of metric units of capacity

Unit Conversions

Unit Conversions 2 - Scientific Notation and Significant Digits

4.1.2.15: [RIT 231 - 231] Solves multi-step weight word problems involving whole numbers and conversion of customary units

Unit Conversions

Unit Conversions 2 - Scientific Notation and Significant Digits

4.1.2.16: [RIT 231 - 231] Adds, subtracts, multiplies, or divides multiple units of weight or mass

Unit Conversions

Unit Conversions 2 - Scientific Notation and Significant Digits

4.1.2.17: [RIT 232 - 250] Completes conversions of metric units of length

Cannonball Clowns (Number Line Estimation)

Launch clowns from a circus cannon and try to hit the target. Drag digit cards on the control panel to set the launch distance and choose an appropriate unit of distance. After practicing your clown-launching skills on a number line, move on to the Big Top, Football Field, School Buses, the Golden Gate Bridge, and more! 5 Minute Preview

Unit Conversions

Unit Conversions 2 - Scientific Notation and Significant Digits

4.1.2.18: [RIT 233 - 257] Converts unit rates to solve real-world problems

Unit Conversions

Unit Conversions 2 - Scientific Notation and Significant Digits

4.1.2.19: [RIT 235 - 239] Adds, subtracts, multiplies, or divides multiple units of capacity

Unit Conversions

Unit Conversions 2 - Scientific Notation and Significant Digits

4.1.2.20: [RIT 239 - 244] Solves multi-step capacity word problems involving decimals or fractions and conversion of metric units

Unit Conversions

Unit Conversions 2 - Scientific Notation and Significant Digits

4.1.2.21: [RIT 243 - 276] Applies dimensional analysis to manipulate units in a real-world problem

Unit Conversions

Unit Conversions 2 - Scientific Notation and Significant Digits

4.1.2.22: [RIT 244 - 244] Solves multi-step mass word problems involving whole numbers and conversion of metric units

Unit Conversions

Unit Conversions 2 - Scientific Notation and Significant Digits

4.1.2.24: [RIT 277 - 277] Converts units of volume within the same measurement system

Unit Conversions

Unit Conversions 2 - Scientific Notation and Significant Digits

4.1.3: Length

4.1.3.1: [RIT 140 - 162] Measures length, width, or height to the nearest inch

Cannonball Clowns (Number Line Estimation)

Launch clowns from a circus cannon and try to hit the target. Drag digit cards on the control panel to set the launch distance and choose an appropriate unit of distance. After practicing your clown-launching skills on a number line, move on to the Big Top, Football Field, School Buses, the Golden Gate Bridge, and more! 5 Minute Preview

4.1.3.2: [RIT 153 - 174] Measures length, width, or height to the nearest centimeter

Cannonball Clowns (Number Line Estimation)

4.1.3.9: [RIT 185 - 223] Completes simple conversions of customary units of length

Cannonball Clowns (Number Line Estimation)

Unit Conversions

Unit Conversions 2 - Scientific Notation and Significant Digits

4.1.3.10: [RIT 189 - 206] Knows relative sizes of customary units of length

Cannonball Clowns (Number Line Estimation)

4.1.3.11: [RIT 189 - 211] Knows relative sizes of metric units of length

Cannonball Clowns (Number Line Estimation)

4.1.3.14: [RIT 193 - 193] Estimates length, width, or height in nonstandard units

Cannonball Clowns (Number Line Estimation)

4.1.3.15: [RIT 193 - 210] Identifies metric units or tools for measuring length

Cannonball Clowns (Number Line Estimation)

4.1.3.16: [RIT 198 - 198] Estimates the length of an object in centimeters

Cannonball Clowns (Number Line Estimation)

4.1.3.17: [RIT 202 - 239] Completes complex conversions of customary units of length involving fractions, decimals, or more than two units

Unit Conversions

Unit Conversions 2 - Scientific Notation and Significant Digits

4.1.3.18: [RIT 207 - 244] Converts units of length between the customary and the metric systems

Unit Conversions

Unit Conversions 2 - Scientific Notation and Significant Digits

4.1.3.20: [RIT 210 - 223] Understands measurement involving rulers

Cannonball Clowns (Number Line Estimation)

4.1.3.21: [RIT 213 - 242] Adds, subtracts, multiplies, or divides multiple units of length

Unit Conversions

Unit Conversions 2 - Scientific Notation and Significant Digits

4.1.3.24: [RIT 219 - 243] Solves multi-step length word problems involving decimals or fractions and conversion of customary units

Unit Conversions

Unit Conversions 2 - Scientific Notation and Significant Digits

4.1.3.26: [RIT 221 - 235] Knows relative sizes between customary and metric units of length

Cannonball Clowns (Number Line Estimation)

4.1.3.27: [RIT 224 - 242] Solves multi-step length word problems involving whole numbers and conversion of customary units

Unit Conversions

Unit Conversions 2 - Scientific Notation and Significant Digits

4.1.3.28: [RIT 232 - 250] Completes conversions of metric units of length

Cannonball Clowns (Number Line Estimation)

Unit Conversions

Unit Conversions 2 - Scientific Notation and Significant Digits

4.1.4: Weight/Mass

4.1.4.2: [RIT 192 - 200] Identifies customary units or tools for measuring weight

Beam to Moon (Ratios and Proportions)

Apply ratios and proportions to find the weight of a person on the moon (or on another planet). Weigh an object on Earth and on the moon and weigh the person on Earth. Then set up and solve the proportion of the Earth weights to the moon weights. 5 Minute Preview

4.1.4.3: [RIT 194 - 226] Completes simple conversions of customary units of weight

Unit Conversions

Unit Conversions 2 - Scientific Notation and Significant Digits

4.1.4.4: [RIT 198 - 199] Knows relative sizes of metric units of mass

Unit Conversions

Unit Conversions 2 - Scientific Notation and Significant Digits

4.1.4.5: [RIT 207 - 224] Identifies metric units or tools for measuring mass

Beam to Moon (Ratios and Proportions) - Metric

Apply ratios and proportions to find the weight of a person on the moon (or on another planet). Weigh an object on Earth and on the moon and weigh the person on Earth. Then set up and solve the proportion of the Earth weights to the moon weights. 5 Minute Preview

Unit Conversions

Unit Conversions 2 - Scientific Notation and Significant Digits

Weight and Mass

Use a balance to measure mass and a spring scale to measure the weight of objects. Compare the masses and weights of objects on Earth, Mars, Jupiter, and the Moon. 5 Minute Preview

4.1.4.6: [RIT 213 - 239] Completes conversions of metric units of mass

Unit Conversions

Unit Conversions 2 - Scientific Notation and Significant Digits

4.1.4.7: [RIT 222 - 232] Completes complex conversions of customary units of weight involving fractions, decimals, or more than two units

Unit Conversions

Unit Conversions 2 - Scientific Notation and Significant Digits

4.1.4.8: [RIT 231 - 231] Solves multi-step weight word problems involving whole numbers and conversion of customary units

Unit Conversions

Unit Conversions 2 - Scientific Notation and Significant Digits

4.1.4.9: [RIT 231 - 231] Adds, subtracts, multiplies, or divides multiple units of weight or mass

Unit Conversions

Unit Conversions 2 - Scientific Notation and Significant Digits

4.1.4.10: [RIT 244 - 244] Solves multi-step mass word problems involving whole numbers and conversion of metric units

Unit Conversions

Unit Conversions 2 - Scientific Notation and Significant Digits

4.1.5: Capacity

4.1.5.1: [RIT 183 - 214] Knows relative sizes ofÂ customary units of capacity

Unit Conversions

Unit Conversions 2 - Scientific Notation and Significant Digits

4.1.5.2: [RIT 193 - 221] Completes simple conversions of customary units of capacity

Unit Conversions

Unit Conversions 2 - Scientific Notation and Significant Digits

4.1.5.3: [RIT 201 - 216] Identifies metric units or tools for measuring capacity

Unit Conversions 2 - Scientific Notation and Significant Digits

4.1.5.4: [RIT 208 - 217] Knows relative sizes of metric units of capacity

Unit Conversions

Unit Conversions 2 - Scientific Notation and Significant Digits

4.1.5.5: [RIT 211 - 211] Measures the capacity of objects in metric units

Unit Conversions 2 - Scientific Notation and Significant Digits

4.1.5.6: [RIT 216 - 218] Estimates the capacity of objects in metric units

Unit Conversions 2 - Scientific Notation and Significant Digits

4.1.5.7: [RIT 216 - 216] Solves multi-step capacity word problems involving whole numbers and conversion of customary units

Unit Conversions

Unit Conversions 2 - Scientific Notation and Significant Digits

4.1.5.8: [RIT 217 - 236] Completes complex conversions of customary units of capacity involving fractions, decimals, or more than two units

Unit Conversions

Unit Conversions 2 - Scientific Notation and Significant Digits

4.1.5.9: [RIT 220 - 220] Knows relative sizes between customary and metric units of capacity

Unit Conversions

Unit Conversions 2 - Scientific Notation and Significant Digits

4.1.5.10: [RIT 227 - 253] Completes conversions of metric units of capacity

Unit Conversions

Unit Conversions 2 - Scientific Notation and Significant Digits

4.1.5.11: [RIT 235 - 239] Adds, subtracts, multiplies, or divides multiple units of capacity

Unit Conversions

Unit Conversions 2 - Scientific Notation and Significant Digits

4.1.5.12: [RIT 239 - 244] Solves multi-step capacity word problems involving decimals or fractions and conversion of metric units

Unit Conversions

Unit Conversions 2 - Scientific Notation and Significant Digits

4.1.6: Problem Solving with Units

4.1.6.3: [RIT 191 - 204] Solves one-step weight/mass word problems involving whole number multiplication and division

Beam to Moon (Ratios and Proportions)

Apply ratios and proportions to find the weight of a person on the moon (or on another planet). Weigh an object on Earth and on the moon and weigh the person on Earth. Then set up and solve the proportion of the Earth weights to the moon weights. 5 Minute Preview

4.1.6.8: [RIT 214 - 214] Solves multi-step length word problems involving whole numbers

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

4.1.6.9: [RIT 216 - 216] Solves multi-step capacity word problems involving whole numbers and conversion of customary units

Unit Conversions

Unit Conversions 2 - Scientific Notation and Significant Digits

4.1.6.10: [RIT 219 - 243] Solves multi-step length word problems involving decimals or fractions and conversion of customary units

Unit Conversions

Unit Conversions 2 - Scientific Notation and Significant Digits

4.1.6.11: [RIT 224 - 242] Solves multi-step length word problems involving whole numbers and conversion of customary units

Unit Conversions

Unit Conversions 2 - Scientific Notation and Significant Digits

4.1.6.12: [RIT 231 - 231] Solves multi-step weight word problems involving whole numbers and conversion of customary units

Unit Conversions

Unit Conversions 2 - Scientific Notation and Significant Digits

4.1.6.13: [RIT 239 - 244] Solves multi-step capacity word problems involving decimals or fractions and conversion of metric units

Unit Conversions

Unit Conversions 2 - Scientific Notation and Significant Digits

4.1.6.14: [RIT 243 - 276] Applies dimensional analysis to manipulate units in a real-world problem

Unit Conversions

Unit Conversions 2 - Scientific Notation and Significant Digits

4.1.6.15: [RIT 244 - 244] Solves multi-step mass word problems involving whole numbers and conversion of metric units

Unit Conversions

Unit Conversions 2 - Scientific Notation and Significant Digits

4.2: Time, Temperature, and Money

4.2.1: Conversion of Units

4.2.1.1: [RIT 171 - 214] Completes simple conversions of units of time

Unit Conversions

Unit Conversions 2 - Scientific Notation and Significant Digits

4.2.1.2: [RIT 205 - 229] Solves multi-step time word problems involving conversion across seconds, minutes, hours, etc.

Unit Conversions

Unit Conversions 2 - Scientific Notation and Significant Digits

4.2.1.3: [RIT 207 - 235] Adds or subtracts multiple units of time

Elapsed Time

Calculate the difference between the times given by two analog clocks. Rotate the hands of the clocks to change the time and see how the calculation changes. 5 Minute Preview

4.2.1.4: [RIT 212 - 233] Completes complex conversions of more than two units of time

Unit Conversions

Unit Conversions 2 - Scientific Notation and Significant Digits

4.2.2: Money

4.2.2.3: [RIT 174 - 186] Identifies equivalent sets of coins

Modeling Whole Numbers and Decimals (Base-10 Blocks)

Model numbers with base-10 blocks. Drag flats, rods, and individual cubes onto a mat to model a number. Blocks can be exchanged from one area of the mat to the other. Four sets of blocks are available to model a variety of whole numbers and decimals. 5 Minute Preview

4.2.2.8: [RIT 185 - 209] Solves word problems involving amount spent or change received, whole numbers, and coin names or pictures

Adding Whole Numbers and Decimals (Base-10 Blocks)

Use base-10 blocks to model two numbers. Then combine the blocks to model the sum. Blocks of equal value can be exchanged from one area of the mat to the other to help understand carrying when adding. Four sets of blocks are available to model different place values. 5 Minute Preview

4.2.2.9: [RIT 193 - 193] Solves money word problems involving whole numbers and coins and/or bills given as names

Adding Whole Numbers and Decimals (Base-10 Blocks)

Use base-10 blocks to model two numbers. Then combine the blocks to model the sum. Blocks of equal value can be exchanged from one area of the mat to the other to help understand carrying when adding. Four sets of blocks are available to model different place values. 5 Minute Preview

4.2.2.10: [RIT 195 - 229] Solves money word problems involving decimals and coins and/or bills given as names

Adding Whole Numbers and Decimals (Base-10 Blocks)

Use base-10 blocks to model two numbers. Then combine the blocks to model the sum. Blocks of equal value can be exchanged from one area of the mat to the other to help understand carrying when adding. Four sets of blocks are available to model different place values. 5 Minute Preview

Subtracting Whole Numbers and Decimals (Base-10 Blocks)

Use base-10 blocks to model a starting number. Then subtract blocks from this number by dragging them into a subtraction bin. Blocks of equal value can be exchanged from one section of the mat to the other to help understand regrouping and borrowing. Four sets of blocks are available to model different place values. 5 Minute Preview

4.2.2.11: [RIT 198 - 223] Determines possible coin combinations equivalent to a specific amount, given either coin names or a specified number of coins

Modeling Whole Numbers and Decimals (Base-10 Blocks)

Model numbers with base-10 blocks. Drag flats, rods, and individual cubes onto a mat to model a number. Blocks can be exchanged from one area of the mat to the other. Four sets of blocks are available to model a variety of whole numbers and decimals. 5 Minute Preview

4.2.3: Time

4.2.3.1: [RIT 153 - 160] Reads analog clocks to the nearest hour

Elapsed Time

Calculate the difference between the times given by two analog clocks. Rotate the hands of the clocks to change the time and see how the calculation changes. 5 Minute Preview

4.2.3.5: [RIT 171 - 214] Completes simple conversions of units of time

Unit Conversions

Unit Conversions 2 - Scientific Notation and Significant Digits

4.2.3.6: [RIT 171 - 189] Understands A.M. and P.M.

Elapsed Time

Calculate the difference between the times given by two analog clocks. Rotate the hands of the clocks to change the time and see how the calculation changes. 5 Minute Preview

4.2.3.8: [RIT 174 - 201] Solves elapsed-time word problems involving counting forward by either hours or minutes

Elapsed Time

4.2.3.10: [RIT 179 - 208] Reads analog clocks to the nearest minute

Elapsed Time

4.2.3.11: [RIT 179 - 179] Knows relative sizes of units of time

Unit Conversions

Unit Conversions 2 - Scientific Notation and Significant Digits

4.2.3.15: [RIT 185 - 185] Understands the meaning of the minute and hour hands on an analog clock

Elapsed Time

4.2.3.16: [RIT 188 - 205] Determines elapsed time across either minutes or hours using clocks

Elapsed Time

4.2.3.18: [RIT 199 - 217] Determines elapsed time across both minutes and hours using clocks

Elapsed Time

4.2.3.19: [RIT 205 - 229] Solves multi-step time word problems involving conversion across seconds, minutes, hours, etc.

Unit Conversions

Unit Conversions 2 - Scientific Notation and Significant Digits

4.2.3.20: [RIT 207 - 235] Adds or subtracts multiple units of time

Elapsed Time

4.2.3.21: [RIT 212 - 233] Completes complex conversions of more than two units of time

Unit Conversions

Unit Conversions 2 - Scientific Notation and Significant Digits

4.2.4: Problem Solving with Units

4.2.4.1: [RIT 174 - 201] Solves elapsed-time word problems involving counting forward by either hours or minutes

Elapsed Time

4.2.4.3: [RIT 181 - 199] Solves one-step money word problems involving whole number multiplication or division

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

4.2.4.5: [RIT 185 - 209] Solves word problems involving amount spent or change received, whole numbers, and coin names or pictures

Adding Whole Numbers and Decimals (Base-10 Blocks)

4.2.4.6: [RIT 187 - 205] Solves multi-step money word problems involving whole numbers within 100

Adding Whole Numbers and Decimals (Base-10 Blocks)

4.2.4.7: [RIT 190 - 206] Solves one-step money word problems involving whole number addition or subtraction

Adding Whole Numbers and Decimals (Base-10 Blocks)

4.2.4.8: [RIT 193 - 193] Solves money word problems involving whole numbers and coins and/or bills given as names

Adding Whole Numbers and Decimals (Base-10 Blocks)

4.2.4.9: [RIT 195 - 229] Solves money word problems involving decimals and coins and/or bills given as names

Adding Whole Numbers and Decimals (Base-10 Blocks)

Subtracting Whole Numbers and Decimals (Base-10 Blocks)

Use base-10 blocks to model a starting number. Then subtract blocks from this number by dragging them into a subtraction bin. Blocks of equal value can be exchanged from one section of the mat to the other to help understand regrouping and borrowing. Four sets of blocks are available to model different place values. 5 Minute Preview

4.2.4.12: [RIT 205 - 229] Solves multi-step time word problems involving conversion across seconds, minutes, hours, etc.

Unit Conversions

Unit Conversions 2 - Scientific Notation and Significant Digits

4.2.4.13: [RIT 205 - 205] Solves one-step time word problems involving addition or subtraction

Elapsed Time

4.3: Perimeter, Area, Surface Area, and Volume

4.3.1: Area

4.3.1.1: [RIT 161 - 181] Compares areas of shapes

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

4.3.1.2: [RIT 163 - 198] Determines the area of figures composed of whole unit squares

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)

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

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

4.3.1.3: [RIT 178 - 199] Represents the area of rectangles composed of whole unit squares using multiplication expressions or equations

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)

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

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

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

4.3.1.4: [RIT 197 - 197] Estimates the area of figures using square units

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

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

Multiplying Decimals (Area Model)

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

4.3.1.6: [RIT 201 - 205] Represents the area of rectangles composed of whole unit squares using repeated addition expressions or equations

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

4.3.1.7: [RIT 204 - 219] 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

4.3.1.8: [RIT 205 - 238] Solves problems involving areas of rectangles within a real-world or mathematical context

Chocomatic (Multiplication, Arrays, and Area)

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

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

Perimeter and Area of Rectangles

4.3.1.10: [RIT 208 - 211] Recognizes situations which describe area

Multiplying Decimals (Area Model)

Perimeter and Area of Rectangles

4.3.1.11: [RIT 208 - 234] Determines the area of rectangles with whole-number sides, formula not provided

Multiplying Decimals (Area Model)

Perimeter and Area of Rectangles

4.3.1.12: [RIT 210 - 210] Identifies a unit square

Chocomatic (Multiplication, Arrays, and Area)

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

4.3.1.13: [RIT 213 - 256] 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

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

Perimeter and Area of Rectangles

4.3.1.16: [RIT 217 - 217] Solves problems involving the area of figures composed of whole unit squares

Chocomatic (Multiplication, Arrays, and Area)

Fido's Flower Bed (Perimeter and Area)

4.3.1.17: [RIT 218 - 242] Determines the area of rectangles with decimal sides, formula not provided

Perimeter and Area of Rectangles

4.3.1.18: [RIT 220 - 237] Applies the distributive property of multiplication to find the area of rectangles with whole-number sides

Chocomatic (Multiplication, Arrays, and Area)

4.3.1.19: [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)

Perimeter and Area of Rectangles

4.3.1.20: [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

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

Perimeter and Area of Rectangles

4.3.1.22: [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)

Fido's Flower Bed (Perimeter and Area)

Perimeter and Area of Rectangles

4.3.1.24: [RIT 229 - 229] Determines the area of parallelograms, given the formula

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

4.3.1.25: [RIT 230 - 241] 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

4.3.1.26: [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

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

Chocomatic (Multiplication, Arrays, and Area)

Fido's Flower Bed (Perimeter and Area)

Perimeter and Area of Rectangles

4.3.1.28: [RIT 234 - 236] 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

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

Fido's Flower Bed (Perimeter and Area)

4.3.1.30: [RIT 236 - 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

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

Area of Triangles

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

Perimeter and Area of Rectangles

4.3.1.35: [RIT 239 - 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)

4.3.1.36: [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

4.3.1.37: [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

4.3.1.40: [RIT 246 - 262] 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

4.3.1.42: [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

4.3.1.44: [RIT 250 - 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

4.3.1.45: [RIT 255 - 255] Describes the effect on area when the perimeter of a rectangle is changed

Perimeter and Area of Rectangles

4.3.1.48: [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

4.3.1.49: [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

4.3.1.53: [RIT 285 - 285] 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

4.3.2: Volume

4.3.2.1: [RIT 206 - 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

4.3.2.2: [RIT 207 - 237] 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

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

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

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

Balancing Blocks (Volume)

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

4.3.2.5: [RIT 219 - 234] 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

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

Balancing Blocks (Volume)

4.3.2.7: [RIT 222 - 264] Solves problems involving volumes of rectangular prisms within a real-world or mathematical context

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

4.3.2.8: [RIT 225 - 234] Identifies a unit cube as a unit for measuring volume

Balancing Blocks (Volume)

Measuring Volume

4.3.2.9: [RIT 227 - 242] Identifies units for measuring 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

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

Balancing Blocks (Volume)

Measuring Volume

Prisms and Cylinders

4.3.2.12: [RIT 231 - 255] Determines the volume of cylinders, given the formula

Prisms and Cylinders

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

Balancing Blocks (Volume)

Measuring Volume

Prisms and Cylinders

4.3.2.14: [RIT 235 - 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

4.3.2.16: [RIT 241 - 273] Describes the effect on volume when dimensions of a rectangular prism are changed

Prisms and Cylinders

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

Measuring Volume

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

Prisms and Cylinders

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

Pyramids and Cones

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

Prisms and Cylinders

4.3.2.26: [RIT 260 - 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

4.3.2.30: [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

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

Balancing Blocks (Volume)

Measuring Volume

Prisms and Cylinders

4.3.2.33: [RIT 270 - 278] Solves problems involving volumes of cylinders within a real-world or mathematical context

Prisms and Cylinders

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

Measuring Volume

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

Pyramids and Cones

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

Pyramids and Cones

4.3.4: Surface Area

4.3.4.2: [RIT 238 - 264] 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

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

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

4.3.4.4: [RIT 241 - 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

4.3.4.5: [RIT 246 - 248] 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

4.3.4.6: [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

4.3.4.7: [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

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

Surface and Lateral Areas of Prisms and Cylinders

4.3.4.10: [RIT 252 - 277] 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

4.3.4.11: [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

4.3.4.13: [RIT 260 - 264] Solves problems involving surface areas of prisms within a real-world or mathematical context

Surface and Lateral Areas of Prisms and Cylinders

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

Surface and Lateral Areas of Prisms and Cylinders

4.3.5: Perimeter/Circumference

4.3.5.2: [RIT 172 - 191] Determines the perimeter of basic polygons with all sides labeled

Perimeter and Area of Rectangles

4.3.5.3: [RIT 192 - 227] Determines the perimeter of basic polygons in which not all sides are labeled

Perimeter and Area of Rectangles