Growth: Grades 6+ Math - Measurement (2017) Gizmos | Browse by Core Curriculum

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

4.1.1.2: [RIT 187 - 211] Compares angle measures to benchmark angles

4.1.1.3: [RIT 187 - 236] Calculates unknown angle measures using the additive property of angles

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

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

4.1.2: Conversion of Units

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

4.1.3: Length

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

4.1.4: Weight/Mass

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

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

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

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

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

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

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

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

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

4.1.5: Capacity

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

4.2.2: Money

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

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

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

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

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

4.2.3: Time

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

4.3: Perimeter, Area, Surface Area, and Volume

4.3.1: Area

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

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

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

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

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

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

4.3.1.7: [RIT 204 - 219] Determines the area of figures composed of whole and partial unit squares

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

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

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

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

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

4.3.1.13: [RIT 213 - 256] Determines the area of parallelograms, formula not provided

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

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

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

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

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

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

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

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

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

4.3.1.25: [RIT 230 - 241] Determines the area of triangles, given the formula

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

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

4.3.1.28: [RIT 234 - 236] Determines the area of circles, given the formula

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

4.3.1.30: [RIT 236 - 260] Determines the circumference given the area of a circle

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

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

4.3.1.35: [RIT 239 - 260] Determines the area of figures composed of polygons

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

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

4.3.1.40: [RIT 246 - 262] Determines the area of figures composed of polygons and circles

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

4.3.1.44: [RIT 250 - 257] Determines the area of circles, formula not provided

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

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

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

4.3.1.53: [RIT 285 - 285] Solves problems involving areas of circles within a real-world or mathematical context

4.3.2: Volume

4.3.2.1: [RIT 206 - 225] Determines the volume of figures by counting unit cubes

4.3.2.2: [RIT 207 - 237] Determines the volume of rectangular prisms, formula not provided

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

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

4.3.2.5: [RIT 219 - 234] Recognizes situations which describe volume

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

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

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

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

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

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

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

4.3.2.14: [RIT 235 - 268] Determines the volume of pyramids, given the formula

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

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

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

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

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

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

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

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

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

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

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

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

4.3.4: Surface Area

4.3.4.2: [RIT 238 - 264] Determines the surface area of rectangular prisms or cubes, formula not provided

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

4.3.4.4: [RIT 241 - 248] Determines the surface area of a prism given a net

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

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

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

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

4.3.4.10: [RIT 252 - 277] Determines the surface area of pyramids, formula not provided

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

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

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

4.3.5: Perimeter/Circumference

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

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

4.3.5.4: [RIT 194 - 245] Solves problems involving perimeters of rectangles within a real-world or mathematical context

4.3.5.6: [RIT 209 - 230] Determines side lengths given the perimeter of rectangles

4.3.5.8: [RIT 213 - 248] Determines the circumference of circles, given the formula

4.3.5.9: [RIT 215 - 217] Counts to find the perimeter of complex figures

4.3.5.10: [RIT 215 - 218] Describes the effect on perimeter when dimensions of a rectangle are changed

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

4.3.5.13: [RIT 222 - 244] Determines the circumference of circles, formula not provided

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

4.3.5.15: [RIT 230 - 230] Recognizes situations which describe perimeter

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

4.3.5.17: [RIT 233 - 234] Determines the perimeter of complex figures in which not all sides are labeled

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

4.3.5.20: [RIT 236 - 260] Determines the circumference given the area of a circle

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

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

4.3.5.23: [RIT 252 - 252] Determines the ratio between perimeters of scaled figures

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

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

4.3.6: Problem Solving with Units

4.3.6.1: [RIT 194 - 245] Solves problems involving perimeters of rectangles within a real-world or mathematical context

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

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

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

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

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

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

4.3.6.9: [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

4.3.6.11: [RIT 246 - 248] Uses the net of a prism to solve surface area problems within a real-world or mathematical context

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

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

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

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

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

4.3.6.19: [RIT 285 - 285] Solves problems involving areas of circles within a real-world or mathematical context