Growth: Grades 6+ Math - Computation and Problem Solving (2017) Gizmos | Browse by Core Curriculum

1: Computation and Problem Solving

1.1: Whole Number Operations

1.1.1: Number Sentences/Equations/Equivalence

1.1.1.1: [RIT 161 - 170] Decomposes whole numbers within 10 in more than one way, using equations

1.1.1.2: [RIT 166 - 187] Decomposes whole numbers within 10 in more than one way, using models

1.1.1.3: [RIT 180 - 210] Applies knowledge of place value or number sense to compose or decompose whole numbers greater than 10 to create equivalent expressions

1.1.1.4: [RIT 184 - 193] Names a number multiple ways as expressions involving the four operations

1.1.2: Whole Numbers: Addition/Subtraction

1.1.2.1: [RIT 145 - 160] Adds whole numbers with sums within 20 using models

1.1.2.2: [RIT 146 - 163] Adds whole numbers with sums within 20

1.1.2.3: [RIT 154 - 180] Adds whole numbers with sums within 100, no regrouping

1.1.2.4: [RIT 156 - 176] Subtracts whole numbers within 20

1.1.2.5: [RIT 158 - 171] Subtracts multiples of 10 from multiples of 10 within 100

1.1.2.6: [RIT 162 - 179] Adds whole numbers with sums within 100, with regrouping

1.1.2.8: [RIT 166 - 172] Adds whole numbers with sums within 1,000, no regrouping

1.1.2.9: [RIT 168 - 197] Adds three or more whole numbers with sums within 100, no regrouping

1.1.2.10: [RIT 168 - 192] Decomposes numbers to make 10 as a strategy for addition or subtraction

1.1.2.11: [RIT 169 - 175] Adds whole numbers with sums within 1,000 using models

1.1.2.12: [RIT 172 - 182] Subtracts whole numbers within 100, no regrouping

1.1.2.13: [RIT 172 - 172] Identifies a number 10 more than a given number using models

1.1.2.14: [RIT 177 - 194] Adds whole numbers with sums within 100 using models

1.1.2.15: [RIT 179 - 184] Subtracts whole numbers within 1,000, no regrouping

1.1.2.16: [RIT 180 - 180] Subtracts whole numbers within 1,000 using models

1.1.2.17: [RIT 183 - 191] Adds whole numbers with sums within 1,000, with regrouping

1.1.2.19: [RIT 186 - 193] Subtracts whole numbers within 100, with regrouping

1.1.2.21: [RIT 190 - 209] Adds three or more whole numbers with sums greater than 100

1.1.2.22: [RIT 190 - 190] Subtracts whole numbers within 100 using models

1.1.2.24: [RIT 194 - 200] Subtracts whole numbers within 1,000, with regrouping

1.1.2.25: [RIT 195 - 195] Adds or subtracts multiples of 100 from whole numbers greater than 100

1.1.2.26: [RIT 202 - 222] Represents multi-step addition and subtraction, shown on a number line, as an expression or equation

1.1.2.27: [RIT 202 - 202] Represents one-step addition and subtraction, shown on a number line, as an expression or equation

1.1.3: Whole Numbers: Multiplication/Division

1.1.3.2: [RIT 163 - 194] Multiplies basic facts

1.1.3.3: [RIT 167 - 185] Represents whole-number multiplication using models

1.1.3.4: [RIT 181 - 217] Multiplies two-digit whole numbers by two-digit whole numbers

1.1.3.5: [RIT 186 - 205] Divides basic facts

1.1.3.7: [RIT 191 - 206] Multiplies one-digit whole numbers by two-digit whole numbers

1.1.3.8: [RIT 197 - 213] Multiplies one-digit whole numbers by whole numbers with more than two digits

1.1.3.9: [RIT 200 - 226] Multiplies multi-digit whole numbers

1.1.3.10: [RIT 200 - 214] Divides whole numbers up to four digits by one-digit divisors, without a remainder

1.1.3.11: [RIT 202 - 219] Divides whole numbers up to four digits by two-digit divisors, without a remainder

1.1.3.12: [RIT 204 - 226] Decomposes numbers to simplify whole-number multiplication

1.1.3.13: [RIT 206 - 206] Multiplies three or more one-digit whole numbers

1.1.3.17: [RIT 209 - 220] Divides multi-digit whole numbers by one-digit divisors with no remainder using models

1.1.3.18: [RIT 213 - 219] Divides whole numbers up to four digits by two-digit divisors, with a remainder

1.1.4: Whole Numbers and Decimals: Rounding/Estimation

1.1.4.2: [RIT 198 - 206] Estimates whole-number sums greater than 100

1.1.5: Properties and Relationships of Operations

1.1.5.1: [RIT 157 - 183] Represents arrays with repeated addition expressions or equations

1.1.5.2: [RIT 172 - 178] Applies the commutative property of multiplication to whole numbers

1.1.5.3: [RIT 177 - 177] Represents equal-groups multiplication situations with repeated addition expressions or equations, given pictures

1.1.5.5: [RIT 179 - 198] Understands the inverse relationship between addition and subtraction, whole numbers within 20

1.1.5.6: [RIT 183 - 214] Understands the inverse relationship between multiplication and division

1.1.5.7: [RIT 188 - 215] Applies the zero property of multiplication to whole numbers

1.1.5.8: [RIT 188 - 210] Represents multiplication as repeated addition

1.1.5.9: [RIT 189 - 194] Represents multiplication as skip-counting

1.1.5.10: [RIT 190 - 190] Applies the associative property of addition to whole numbers

1.1.5.11: [RIT 190 - 218] Applies the commutative property of addition to whole numbers

1.1.5.12: [RIT 191 - 192] Represents multiplication situations with arrays

1.1.5.13: [RIT 197 - 210] Represents division as repeated subtraction

1.1.5.14: [RIT 198 - 217] Applies the associative property of multiplication to whole numbers

1.1.5.15: [RIT 204 - 226] Decomposes numbers to simplify whole-number multiplication

1.1.5.16: [RIT 214 - 228] Understands the inverse relationship between addition and subtraction, whole numbers within 1,000

1.1.5.17: [RIT 220 - 233] Applies the distributive property of multiplication to whole numbers

1.2: Fraction and Decimal Operations

1.2.1: Decimals: Addition/Subtraction

1.2.1.1: [RIT 169 - 197] Adds and subtracts decimals with the same number of digits after the decimal point, no regrouping

1.2.1.2: [RIT 178 - 219] Adds and subtracts decimals with the same number of digits after the decimal point, with regrouping

1.2.1.3: [RIT 202 - 230] Adds and subtracts decimals with different number of digits after the decimal point, with regrouping

1.2.1.4: [RIT 204 - 227] Adds and subtracts decimals with a different number of digits after the decimal point, no regrouping

1.2.1.5: [RIT 216 - 222] Subtracts decimals from whole numbers

1.2.2: Decimals: Multiplication/Division

1.2.2.1: [RIT 195 - 212] Multiplies decimals by one-digit whole numbers

1.2.2.4: [RIT 213 - 234] Multiplies decimals by decimals

1.2.3: Fractions: Addition/Subtraction

1.2.3.1: [RIT 197 - 214] Adds and subtracts fractions with like denominators using models other than number lines

1.2.3.2: [RIT 198 - 228] Adds and subtracts fractions with like denominators

1.2.3.3: [RIT 205 - 225] Adds and subtracts whole numbers, fractions, and/or mixed numbers with like denominators, no regrouping

1.2.3.4: [RIT 210 - 235] Adds and subtracts fractions with unlike denominators

1.2.3.5: [RIT 223 - 240] Adds and subtracts fractions with denominators of 10 or 100

1.2.3.6: [RIT 226 - 238] Adds and subtracts whole numbers, fractions, and/or mixed numbers with like denominators, with regrouping

1.2.3.7: [RIT 227 - 243] Adds and subtracts whole numbers, fractions, and/or mixed numbers with unlike denominators, with regrouping

1.2.3.8: [RIT 227 - 237] Adds and subtracts whole numbers, fractions, and/or mixed numbers with unlike denominators, no regrouping

1.2.3.9: [RIT 232 - 232] Adds and subtracts fractions with like denominators using a number line

1.2.5: Fractions: Multiplication/Division

1.2.5.1: [RIT 187 - 187] Determines fractions of a set

1.2.5.3: [RIT 198 - 210] Multiplies fractions by fractions, results not in simplest form

1.2.5.4: [RIT 206 - 214] Understands that finding fractions of whole numbers is the same as finding their product

1.2.5.5: [RIT 212 - 247] Divides fractions by fractions, results in simplest form

1.2.5.6: [RIT 220 - 230] Multiplies fractions by whole numbers, results in simplest form

1.2.5.7: [RIT 221 - 245] Divides mixed numbers by mixed numbers, results in simplest form

1.2.5.8: [RIT 224 - 238] Divides fractions by whole numbers, results in simplest form

1.2.5.9: [RIT 224 - 228] Divides two whole numbers with a quotient in the form of a fraction or a mixed number

1.2.5.10: [RIT 225 - 225] Multiplies fractions by whole numbers, results not in simplest form

1.2.5.11: [RIT 225 - 243] Multiplies fractions by fractions, results in simplest form

1.2.5.14: [RIT 230 - 238] Understands the effect of multiplying whole numbers by fractions greater than 1

1.2.5.15: [RIT 232 - 232] Understands the effect of multiplying whole numbers by fractions less than 1

1.2.5.16: [RIT 232 - 237] Multiplies mixed numbers by whole numbers, results in simplest form

1.2.5.17: [RIT 235 - 247] Divides whole numbers by fractions, results in simplest form

1.2.5.18: [RIT 236 - 238] Divides mixed numbers by whole numbers, results in simplest form

1.2.5.19: [RIT 236 - 249] Multiplies mixed numbers by mixed numbers, results in simplest form

1.2.5.20: [RIT 237 - 237] Understands that dividing by a fraction is the same as multiplying by its reciprocal

1.2.5.23: [RIT 239 - 239] Divides whole numbers by mixed numbers, results in simplest form

1.2.5.24: [RIT 239 - 239] Divides whole numbers by fractions using models

1.2.5.25: [RIT 242 - 247] Understands that multiplying whole numbers and fractions involves multiplying the whole number and the numerator, then dividing by the denominator

1.2.5.26: [RIT 245 - 245] Understands that finding fractions of fractions is the same as finding their product

1.2.6: Whole Numbers and Decimals: Rounding/Estimation

1.2.6.1: [RIT 192 - 192] Estimates sums involving decimals

1.2.7: Fractions: Represent/Model

1.2.7.1: [RIT 188 - 193] Represents fractions as sums of fractions with the same denominator, using expressions or equations

1.2.8: Properties and Relationships of Operations

1.2.8.2: [RIT 232 - 232] Understands the effect of multiplying whole numbers by fractions less than 1

1.2.8.3: [RIT 237 - 237] Understands that dividing by a fraction is the same as multiplying by its reciprocal

1.2.8.4: [RIT 242 - 247] Understands that multiplying whole numbers and fractions involves multiplying the whole number and the numerator, then dividing by the denominator

1.3: Whole Numbers: Represent & Solve Problems

1.3.1: Whole Numbers: Represent and Solve Word Problems

1.3.1.2: [RIT 161 - 174] Solves one-step add-to/put-together word problems with result unknown, whole numbers within 20

1.3.1.3: [RIT 163 - 163] Represents addition word problems involving three addends with expressions or equations, whole numbers within 20

1.3.1.4: [RIT 166 - 187] Solves one-step take-from/take-apart word problems with result unknown, whole numbers within 20

1.3.1.5: [RIT 166 - 207] Determines the operation(s) needed to solve word problems involving whole numbers

1.3.1.6: [RIT 169 - 192] Solves one-step add-to/put-together word problems with result unknown, whole numbers within 100

1.3.1.7: [RIT 169 - 181] Represents one-step add-to/put-together word problems with expressions or equations, with answer unknown, whole numbers within 20

1.3.1.8: [RIT 171 - 193] Represents one-step take-from/take-apart word problems with expressions or equations, with answer unknown, whole numbers within 20

1.3.1.9: [RIT 171 - 183] Solves put-together word problems involving three addends, whole numbers within 20

1.3.1.10: [RIT 172 - 193] Represents one-step addition and subtraction word problems with expressions or equations, whole numbers within 100

1.3.1.11: [RIT 172 - 202] Represents one-step additive-comparison word problems with expressions or equations, whole numbers within 20

1.3.1.12: [RIT 174 - 200] Solves one-step equal-groups multiplication word problems, whole numbers with products within 100

1.3.1.13: [RIT 174 - 210] Solves one-step equal-groups division word problems, whole numbers within 100

1.3.1.14: [RIT 175 - 202] Solves one-step additive-comparison word problems, whole numbers within 100

1.3.1.15: [RIT 176 - 195] Solves one-step add-to/put-together word problems with start, change, or part unknown, whole numbers within 20

1.3.1.16: [RIT 177 - 199] Represents one-step equal-groups multiplication and division word problems with models, whole numbers

1.3.1.17: [RIT 177 - 219] Solves multi-step addition and subtraction word problems, whole numbers within 100

1.3.1.18: [RIT 178 - 199] Solves one-step additive-comparison word problems, whole numbers within 20

1.3.1.19: [RIT 178 - 202] Solves one-step take-from/take-apart word problems with start, change, or part unknown, whole numbers within 100

1.3.1.20: [RIT 181 - 198] Represents one-step take-from/take-apart word problems with expressions or equations, with start, change, or part unknown, whole numbers within 20

1.3.1.21: [RIT 181 - 199] Represents multi-step addition and subtraction word problems with expressions or equations, whole numbers

1.3.1.22: [RIT 181 - 192] Solves one-step, take-from/take-apart word problems with start, change, or part unknown, whole numbers within 20

1.3.1.23: [RIT 181 - 204] Solves one-step put-together word problems with result unknown, whole numbers greater than 100

1.3.1.24: [RIT 183 - 183] Solves one-step take-from/take-apart word problems with result unknown, whole numbers within 100

1.3.1.25: [RIT 183 - 217] Estimates solutions to one-step word problems involving any of the four operations with whole numbers

1.3.1.26: [RIT 184 - 212] Solves multi-step addition and subtraction word problems, whole numbers greater than 100

1.3.1.27: [RIT 184 - 213] Represents one-step equal-groups multiplication word problems with expressions or equations, whole numbers

1.3.1.28: [RIT 184 - 199] Represents one-step add-to/put-together word problems with expressions or equations, with start, change, or part unknown, whole numbers within 20

1.3.1.29: [RIT 186 - 186] Solves one-step add-to/put-together word problems with start, change, or part unknown, whole numbers within 100

1.3.1.30: [RIT 189 - 210] Solves one-step multiplication word problems with multi-digit whole numbers

1.3.1.31: [RIT 190 - 209] Solves one-step take-apart word problems with result unknown, whole numbers greater than 100

1.3.1.36: [RIT 194 - 220] Solves one-step division word problems with multi-digit whole numbers

1.3.1.38: [RIT 195 - 216] Represents one-step equal-groups division word problems with expressions or equations, whole numbers

1.3.1.40: [RIT 197 - 230] Solves one-step division word problems that require interpretation of remainders, whole numbers

1.3.1.41: [RIT 197 - 232] Solves multi-step word problems involving the four operations with whole numbers

1.3.1.42: [RIT 200 - 200] Solves one-step take-apart word problems with start, change, or part unknown, whole numbers greater than 100

1.3.1.43: [RIT 201 - 211] Solves one-step division word problems, whole numbers with up to four-digit dividends and one-digit divisors, no remainders

1.3.1.44: [RIT 205 - 205] Solves one-step put-together word problems with start, change, or part unknown, whole numbers greater than 100

1.3.1.47: [RIT 222 - 247] Represents and solves word problems involving division of whole numbers where the quotient is a fraction

1.3.2: Whole Numbers and Decimals: Rounding/Estimation

1.3.2.1: [RIT 183 - 217] Estimates solutions to one-step word problems involving any of the four operations with whole numbers

1.3.3: Properties and Relationships of Operations

1.3.3.1: [RIT 192 - 221] Understands multiplication as a comparison of sizes

1.3.3.2: [RIT 197 - 203] Understands multiplication as many groups of equal size

1.3.3.3: [RIT 201 - 223] Understands division as equal sharing

1.3.3.4: [RIT 203 - 203] Understands addition as putting together

1.4: Fractions and Decimals: Represent & Solve Problems

1.4.1: Whole Numbers and Decimals: Rounding/Estimation

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

1.4.2: Fractions: Represent and Solve Word Problems

1.4.2.1: [RIT 193 - 221] Solves one-step word problems involving addition and subtraction of fractions with like denominators

1.4.2.2: [RIT 194 - 211] Solves one-step word problems involving addition and subtraction of fractions with like denominators using models

1.4.2.5: [RIT 203 - 230] Solves multi-step word problems involving addition and subtraction of fractions with like denominators

1.4.2.9: [RIT 216 - 236] Solves one-step word problems involving division of whole numbers by unit fractions

1.4.2.10: [RIT 217 - 237] Solves multi-step word problems involving whole numbers, fractions and/or mixed numbers

1.4.2.11: [RIT 218 - 233] Solves multi-step word problems involving addition and subtraction of fractions with unlike denominators

1.4.2.13: [RIT 220 - 220] Identifies contexts representing dividing whole numbers by unit fractions

1.4.2.16: [RIT 225 - 259] Solves one-step word problems involving division of fractions or mixed numbers

1.4.2.18: [RIT 230 - 238] Solves one-step word problems involving addition and subtraction of fractions with unlike denominators

1.4.2.19: [RIT 234 - 234] Solves one-step word problems involving division of whole numbers by fractions or mixed numbers

1.4.2.20: [RIT 236 - 260] Solves one-step word problems involving multiplication of fractions or mixed numbers

1.4.3: Decimals: Represent and Solve Word Problems

1.4.3.1: [RIT 178 - 219] Solves one-step word problems involving addition and subtraction of decimals with the same number of digits after the decimal point, including contexts involving money

1.4.3.2: [RIT 185 - 203] Solves one-step word problems involving multiplication of one-digit whole numbers and decimals to the hundredths, including contexts involving money

1.4.3.3: [RIT 204 - 239] Solves multi-step word problems involving the four operations and decimals, including contexts involving money

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

1.4.3.5: [RIT 209 - 239] Solves one-step word problems involving multiplication of multi-digit whole numbers and decimals to the hundredths, including contexts involving money

1.4.3.6: [RIT 210 - 232] Solves one-step word problems involving addition and subtraction of decimals with a different number of digits after the decimal point

1.4.3.7: [RIT 221 - 225] Solves one-step word problems involving multiplication of decimals by decimals to the hundredths, including contexts involving money

1.4.3.8: [RIT 228 - 228] Represents multi-step word problems with expressions or equations and involving decimals with the same number of digits after the decimal point, including contexts involving money

1.5: Integer, Rational, Real, and Complex Numbers

1.5.1: Real/Complex Numbers: Computation

1.5.1.1: [RIT 231 - 255] Adds and subtracts complex numbers

1.5.1.2: [RIT 257 - 278] Simplifies expressions involving the relation i² = -1

1.5.1.3: [RIT 269 - 281] Multiplies complex numbers

1.5.1.4: [RIT 279 - 279] Determines the conjugate of a complex number

1.5.2: Rational Numbers: Computation

1.5.2.1: [RIT 206 - 223] Identifies two rational numbers that combine to make 0

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

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

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

1.5.3.1: [RIT 202 - 236] Solves real-world problems involving the addition and subtraction of integers

1.5.4: Integers: Computation

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

1.5.4.2: [RIT 211 - 234] Adds and subtracts integers

1.5.4.3: [RIT 214 - 237] Multiplies and divides integers

1.5.4.4: [RIT 219 - 236] Represents addition and subtraction of integers on a number line

1.5.4.5: [RIT 226 - 234] Understands subtracting an integer is the same as adding its opposite

1.5.4.6: [RIT 227 - 243] Performs multiple operations with integers

1.6: Proportional Reasoning and Percent

1.6.1: Rates/Ratios/Proportions/Percents

1.6.1.1: [RIT 188 - 229] Solves for a missing value in a proportion by basic reasoning with equivalent fractions

1.6.1.2: [RIT 193 - 232] Uses a given unit rate to solve a one-step real-world problem

1.6.1.3: [RIT 193 - 235] Uses ratios of whole numbers to calculate unit rates

1.6.1.4: [RIT 203 - 255] Solves real-world and mathematical problems using ratios or proportional reasoning

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

1.6.1.6: [RIT 208 - 234] Uses ratios of whole numbers and decimals to calculate unit rates

1.6.1.8: [RIT 214 - 246] Calculates percents of numbers

1.6.1.9: [RIT 215 - 246] Solves one-step percent problems within a real-world or mathematical context

1.6.1.11: [RIT 219 - 231] Uses ratios of decimals to calculate unit rates

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

1.6.1.13: [RIT 220 - 242] Calculates the whole when given a part and the percent

1.6.1.14: [RIT 221 - 253] Solves for a missing value in a proportion by taking a cross product

1.6.1.15: [RIT 223 - 263] Uses a given unit rate to solve a multi-step real-world problem

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

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

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

1.6.1.19: [RIT 231 - 256] Calculates simple interest

1.6.1.20: [RIT 234 - 244] Writes a corresponding linear equation for a given proportion

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

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

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

1.6.2.1: [RIT 215 - 246] Solves one-step percent problems within a real-world or mathematical context

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

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

1.6.2.4: [RIT 231 - 256] Calculates simple interest

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

1.7: Exponents, Radicals, and Scientific Notation

1.7.1: Numerical Expressions

1.7.1.1: [RIT 243 - 275] Uses properties of radicals to simplify radical expressions

1.7.1.2: [RIT 253 - 271] Simplifies numerical expressions involving sums and differences of radicals

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

1.7.1.5: [RIT 279 - 279] Simplifies numerical expressions containing radicals and rational exponents

1.7.2: Exponents

1.7.2.1: [RIT 212 - 225] Evaluates numbers with whole-number bases and whole-number exponents

1.7.2.3: [RIT 241 - 241] Evaluates numbers with negative integer bases and whole-number exponents

1.7.2.6: [RIT 279 - 279] Simplifies numerical expressions containing radicals and rational exponents

1.7.3: Scientific Notation

1.7.3.1: [RIT 233 - 265] Solves real-world problems with numbers expressed in scientific notation

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

1.7.4: Radicals

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

1.7.4.2: [RIT 243 - 275] Uses properties of radicals to simplify radical expressions

1.7.4.3: [RIT 253 - 271] Simplifies numerical expressions involving sums and differences of radicals

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

1.7.4.5: [RIT 279 - 279] Simplifies numerical expressions containing radicals and rational exponents