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

2: Number Sense

2.1: Whole Numbers: Place Value, Counting & Rounding

2.1.1: Whole Numbers: Counting and Cardinality

2.1.1.6: [RIT 152 - 165] Counts by 10s within 100

2.1.1.7: [RIT 160 - 181] Counts by 2s within 100

2.1.1.10: [RIT 163 - 164] Represents groups of 10 objects as a numeral within 100

2.1.1.11: [RIT 165 - 175] Counts by 10s within 1,000

2.1.1.14: [RIT 177 - 187] Counts by 5s within 100

2.1.2: Whole Numbers and Decimals: Rounding/Estimation

2.1.2.1: [RIT 179 - 202] Rounds whole numbers within 100

2.1.2.2: [RIT 186 - 204] Rounds whole numbers within 1,000

2.1.2.3: [RIT 197 - 229] Rounds whole numbers within 1,000,000

2.1.2.4: [RIT 204 - 227] Rounds whole numbers greater than 1,000,000

2.1.3: Exponents

2.1.3.1: [RIT 220 - 232] Reads and writes whole numbers within 100,000 using powers of 10 in exponential form

2.1.3.2: [RIT 232 - 246] Reads and writes whole numbers greater than 100,000 using powers of 10 in exponential form

2.1.5: Whole Numbers: Place Value

2.1.5.1: [RIT 158 - 166] Represents whole numbers within 20 with models

2.1.5.2: [RIT 161 - 180] Represents whole numbers within 100 with models

2.1.5.3: [RIT 162 - 187] Reads and writes whole numbers within 1,000 as hundreds, tens, and ones

2.1.5.5: [RIT 162 - 192] Represents whole numbers within 1,000 with models

2.1.5.8: [RIT 171 - 204] Knows place-value names in numbers through the hundred thousands

2.1.5.9: [RIT 175 - 197] Reads and writes whole numbers within 1,000 in expanded form

2.1.5.10: [RIT 175 - 180] Reads and writes whole numbers within 100 in expanded form

2.1.5.11: [RIT 176 - 184] Understands the value of a digit in whole numbers within 1,000

2.1.5.12: [RIT 177 - 194] Reads and writes whole numbers within 10,000 in expanded form

2.1.5.13: [RIT 177 - 199] Reads and writes whole numbers within 100 as tens and ones

2.1.5.15: [RIT 179 - 189] Identifies the number of tens and ones in a model

2.1.5.16: [RIT 180 - 180] Composes or decomposes tens in a model to represent whole numbers within 20 in multiple ways

2.1.5.18: [RIT 184 - 199] Understands the value of a digit in whole numbers within 1,000,000

2.1.5.19: [RIT 191 - 191] Composes or decomposes tens in a model to represent whole numbers within 100 in multiple ways

2.1.5.20: [RIT 194 - 220] Reads and writes whole numbers within 100,000 in expanded form

2.1.5.23: [RIT 199 - 214] Understands that 10 ones is the same as 1 ten

2.1.5.24: [RIT 200 - 205] Represents whole numbers greater than 1,000 with models

2.1.5.25: [RIT 202 - 202] Understands the value of a digit in whole numbers greater than 1,000,000

2.1.5.26: [RIT 202 - 212] Decomposes whole numbers within 100 into tens and ones in multiple ways

2.1.5.28: [RIT 203 - 203] Reads and writes whole numbers within 1,000,000 in expanded form

2.1.5.29: [RIT 204 - 209] Reads and writes whole numbers within 10,000 as thousands, hundreds, tens, and ones

2.1.5.30: [RIT 205 - 205] Understands that 10 tens is the same as 1 hundred

2.1.5.31: [RIT 207 - 247] Understands that the same digit, moved one place to the left, now represents 10 times the value

2.1.5.33: [RIT 215 - 245] Understands that the same digit, moved one place to the right, now represents 1/10 the value

2.1.5.34: [RIT 220 - 232] Reads and writes whole numbers within 100,000 using powers of 10 in exponential form

2.1.5.35: [RIT 222 - 232] Decomposes whole numbers within 1,000 into hundreds, tens, and ones, in multiple ways

2.1.5.36: [RIT 231 - 231] Understands whole-number place-value relationships

2.1.5.37: [RIT 232 - 246] Reads and writes whole numbers greater than 100,000 using powers of 10 in exponential form

2.2: Fractions, Decimals, and Percents: Concepts

2.2.1: Decimals: Compare/Order

2.2.1.1: [RIT 167 - 167] Compares decimals to the hundredths, with the same number of digits after the decimal point, using terms

2.2.1.2: [RIT 173 - 173] Compares decimals to the hundredths using symbols, given models

2.2.1.3: [RIT 174 - 190] Orders decimals to the hundredths, with the same number of digits after the decimal point

2.2.1.4: [RIT 191 - 191] Compares decimals to the thousandths, with the same number of digits after the decimal point, using symbols

2.2.1.5: [RIT 191 - 191] Compares decimals to the hundredths, with the same number of digits after the decimal point, using symbols

2.2.1.6: [RIT 210 - 227] Compares decimals to the hundredths, with a different number of digits after the decimal point, using terms

2.2.1.7: [RIT 211 - 235] Compares decimals to the thousandths, with a different number of digits after the decimal point, using symbols

2.2.1.8: [RIT 219 - 229] Compares decimals to the hundredths, with a different number of digits after the decimal point, using symbols

2.2.1.10: [RIT 221 - 221] Orders decimals to the thousandths, with the same number of digits after the decimal point

2.2.1.11: [RIT 221 - 221] Compares decimals to the thousandths, with a different number of digits after the decimal point, using terms

2.2.1.12: [RIT 223 - 226] Orders decimals to the hundredths, with a different number of digits after the decimal point

2.2.1.14: [RIT 227 - 232] Orders decimals to the thousandths, with a different number of digits after the decimal point

2.2.2: Decimals: Represent/Model

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

2.2.2.3: [RIT 213 - 226] Knows decimal place-value names through hundredths

2.2.2.5: [RIT 224 - 229] Represents decimals to the hundredths with models

2.2.2.6: [RIT 228 - 228] Knows decimal place-value names through thousandths

2.2.3: Whole Numbers and Decimals: Rounding/Estimation

2.2.3.1: [RIT 200 - 218] Rounds decimals to nearest whole number

2.2.3.2: [RIT 202 - 223] Rounds dollars and cents

2.2.4: Fractions: Compare/Order

2.2.4.1: [RIT 164 - 176] Orders fraction models with like denominators

2.2.4.2: [RIT 176 - 204] Compares fraction models with unlike numerators and denominators using words

2.2.4.3: [RIT 182 - 208] Compares fraction models with like numerators or denominators using words

2.2.4.4: [RIT 201 - 213] Compares fraction models with like numerators or denominators using symbols

2.2.4.5: [RIT 204 - 208] Compares unit fractions using words

2.2.4.6: [RIT 205 - 216] Orders fractions with like numerators or denominators using models

2.2.4.7: [RIT 213 - 225] Compares fractions with like numerators or denominators using words

2.2.4.8: [RIT 213 - 229] Compares fraction models with unlike numerators and denominators using symbols

2.2.4.9: [RIT 214 - 222] Compares fractions with unlike numerators and denominators using words

2.2.4.10: [RIT 226 - 226] Orders fractions with unlike numerators and denominators using models

2.2.4.11: [RIT 228 - 229] Orders fractions with unlike numerators and/or denominators

2.2.5: Fractions: Represent/Model

2.2.5.1: [RIT 151 - 188] Identifies shapes that are divided into equal parts

2.2.5.2: [RIT 161 - 179] Identifies shapes that are divided into fourths

2.2.5.3: [RIT 162 - 180] Identifies shapes that are divided into halves

2.2.5.4: [RIT 163 - 163] Identifies shapes that are divided into thirds

2.2.5.5: [RIT 171 - 209] Models non-unit fractions using set models

2.2.5.6: [RIT 174 - 197] Models unit fractions using area models

2.2.5.7: [RIT 178 - 205] Models unit fractions using set models

2.2.5.8: [RIT 178 - 208] Models non-unit fractions using area models

2.2.5.9: [RIT 180 - 190] Reads and writes fractions in word form

2.2.5.10: [RIT 183 - 183] Understands the meaning of the numerator and the denominator in a fraction

2.2.5.11: [RIT 187 - 204] Identifies the fractional parts of shapes

2.2.5.12: [RIT 192 - 208] Identifies shapes that are divided into quarters

2.2.5.13: [RIT 196 - 238] Locates non-unit proper fractions on a number line

2.2.5.14: [RIT 202 - 224] Identifies fractions which represent given situations

2.2.5.15: [RIT 205 - 214] Identifies the mixed number represented by a fraction model

2.2.5.16: [RIT 211 - 223] Locates unit fractions on a number line

2.2.5.18: [RIT 217 - 244] Locates mixed numbers on a number line

2.2.5.19: [RIT 222 - 232] Identifies the improper fraction represented by a fraction model

2.2.6: Rates/Ratios/Proportions/Percents

2.2.6.1: [RIT 156 - 157] Represents 100% using models

2.2.6.2: [RIT 185 - 226] Represents percents less than 100% using models

2.3: Fractions, Decimals, and Percents: Equivalency

2.3.1: Fractions: Equivalence

2.3.1.1: [RIT 157 - 186] Identifies fractions equivalent to 1 using area or set models

2.3.1.2: [RIT 174 - 220] Identifies equivalent fraction models

2.3.1.3: [RIT 192 - 221] Writes equivalent fractions for given area or set models

2.3.1.4: [RIT 194 - 223] Understands that fractions that occupy the same position on a number line are equivalent

2.3.1.5: [RIT 198 - 213] Converts between fractions with denominators of 10 and 100

2.3.1.6: [RIT 202 - 233] Writes equivalent fractions

2.3.1.7: [RIT 207 - 235] Writes fractions in simplest form

2.3.1.8: [RIT 207 - 207] Identifies fractions equivalent to 1

2.3.1.9: [RIT 207 - 229] Converts between mixed numbers and improper fractions

2.3.1.10: [RIT 216 - 216] Identifies fractions equivalent to 1 using number lines

2.3.1.11: [RIT 217 - 217] Divides two whole numbers given in the form of a fraction, with a whole number quotient

2.3.1.12: [RIT 219 - 219] Generates equations to show two fractions are equivalent

2.3.1.13: [RIT 222 - 237] Determines common or least common denominators of fractions

2.3.1.14: [RIT 223 - 228] Identifies fractions equivalent to whole numbers greater than 1

2.3.1.15: [RIT 227 - 227] Identifies fractions equivalent to whole numbers greater than 1 using area or set models

2.3.1.16: [RIT 227 - 227] Identifies both the improper fraction and the mixed number represented by a fraction model

2.3.1.17: [RIT 238 - 238] Writes equivalent fractions for given points on a number line

2.3.2: Fractions: Represent and Solve Word Problems

2.3.2.1: [RIT 193 - 211] Solves word problems about finding equivalent fractions

2.3.3: Rational Numbers: Equivalence

2.3.3.1: [RIT 196 - 226] Converts between percents and fractions with denominators of 10 or 100

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

2.3.3.3: [RIT 207 - 232] Converts between decimals and fractions with denominators of 10 or 100

2.3.3.4: [RIT 208 - 233] Converts between percents and fractions with denominators other than 10 and 100

2.3.3.5: [RIT 209 - 237] Converts between decimals and fractions with denominators of 2, 4, or 5

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

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

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

2.3.3.12: [RIT 227 - 238] Converts between decimals and fractions with a denominator of 3

2.4: Integer, Rational, and Real Number: Concepts

2.4.1: Absolute Value: Concepts/Properties

2.4.1.1: [RIT 228 - 234] Evaluates the absolute value of a number

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

2.4.2: Properties and Relationships of Operations

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

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

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

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

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

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

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

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

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

2.4.3: Real/Complex Numbers: Concepts/Properties

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

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

2.4.4: Rational Numbers: Compare/Order

2.4.4.3: [RIT 202 - 221] Compares integers that represent quantities in a real-world context

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

2.4.4.6: [RIT 210 - 210] Justifies a comparison of two rational numbers using a number line

2.4.4.7: [RIT 211 - 218] Compares integers

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

2.4.4.9: [RIT 218 - 230] Compares two rational numbers using a number line

2.4.4.10: [RIT 224 - 239] Compares integers given the meaning of zero within a real-world situation

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

2.4.4.12: [RIT 230 - 230] Orders positive rational numbers represented in multiple forms

2.4.5: Rational Numbers: Represent/Model

2.4.5.1: [RIT 197 - 219] Understands positive and negative numbers in terms of real-world situations

2.4.5.2: [RIT 200 - 220] Locates integers on a number line

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

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

2.4.5.5: [RIT 229 - 246] Identifies values that are a given distance from a point on a number line

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

2.5: Rate, Ratio, Proportion, and Percent

2.5.1: Rates/Ratios/Proportions/Percents

2.5.1.2: [RIT 204 - 204] Understands percentage parts add up to 100

2.5.1.3: [RIT 206 - 231] Converts between percents and ratios expressed verbally or in the form a:b

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

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

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

2.5.1.9: [RIT 218 - 246] Identifies the part-to-whole ratio between two quantities

2.5.1.10: [RIT 219 - 249] Determines equivalent ratios

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

2.5.1.12: [RIT 225 - 225] Writes a different ratio using the same quantities as a given ratio expressed either verbally, as a fraction, or in the form a:b

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

2.6: Exponents, Radicals, and Scientific Notation

2.6.1: Exponents

2.6.1.2: [RIT 221 - 237] Represents a whole number as a power of a whole number

2.6.1.3: [RIT 225 - 232] Represents the value of digits in whole numbers using powers of 10 in exponential form

2.6.2: Scientific Notation

2.6.2.1: [RIT 213 - 230] Converts a number from scientific notation to standard form

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

2.7: Number Theory

2.7.1: Whole Numbers: Concepts/Properties

2.7.1.2: [RIT 179 - 206] Determines if a number or set of numbers is even or odd

2.7.1.3: [RIT 194 - 230] Identifies factors of numbers less than 100

2.7.1.4: [RIT 203 - 203] Applies the tests for divisibility by 2, 5, and 10

2.7.1.5: [RIT 208 - 217] Solves problems involving factors and multiples

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

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

2.7.1.8: [RIT 212 - 212] Determines prime factorization of a number using a factor tree

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

2.7.1.10: [RIT 218 - 245] Determines the prime factorization of a number

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

2.7.1.13: [RIT 219 - 243] Determines common factors

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

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

2.7.1.16: [RIT 224 - 242] Determines common multiples

2.7.1.17: [RIT 235 - 236] Identifies true statements about number-theory concepts, including prime, composite, multiples, factors, least common multiples, and greatest common factors

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

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