Number Sense and Operations
| Grade 6 | Strand: Number Sense and Operations | |||
|---|---|---|---|---|
| MCS* Level | LO ID | Concept | Topic | Description |
| DV650 | SMMA_LO_00301 | Estimation | Estimate Products/Quotients | Estimate the quotient in a long division problem (three-digit dividend, two-digit divisor, remainder). |
| DC680 | SMMA_LO_00254 | Number Sense | Compare Decimals Using Symbols | Identify the symbol (< or >) needed to complete the inequality. |
| NC690 | SMMA_LO_01102 | Number Sense | Compare Integers | Determine the least or greatest integer (-10 to 10). |
| NC630 | SMMA_LO_01094 | Number Sense | Determine Equivalent Fractions and Decimals | Identify decimals or fractions that are not equivalent to a given decimal or fraction. |
| DC695 | SMMA_LO_00257 | Number Sense | Determine Equivalent Fractions and Decimals | Identify the division problem that can be used to rewrite a fraction as a decimal. |
| WP610 | SMMA_LO_02114 | Number Sense | Ratios and Proportions | Identify two unit rates for a given word problem. |
| AP645 | SMMA_LO_02115 | Number Sense | Ratios and Proportions | Find missing values in a table that represents a proportional relationship, and plot the pairs of values on the coordinate plane. |
| PS640 | SMMA_LO_02116 | Number Sense | Ratios and Proportions | Complete a comparison statement based on the ratios in two tables. |
| NC618 | SMMA_LO_01825 | Number Sense | Ratios and Proportions | Write a ratio in three different forms. |
| NC620 | SMMA_LO_00256 | Number Sense | Use Base-Ten Models to Represent Fractions, Decimals, and Percents | Determine the decimal and percent that is represented by a model (base-ten blocks, hundredths). |
| AP600 | SMMA_LO_01714 | Number Sense | Convert between Percents, Fractions, and Decimals | Express a fraction as a percent (denominator is 100). |
| NC610 | SMMA_LO_01712 | Number Sense | Ratios | Identify the ratio. |
| PS610 | SMMA_LO_01284 | Number Sense | Solve Ratios/Proportions in Measurement Context | Solve a proportion problem in context. |
| DC685 | SMMA_LO_00255 | Number Sense | Determine Equivalent Mixed Numbers and Decimals | Find an equivalent mixed number for a decimal (tenths to ten thousandths). |
| NC645 | SMMA_LO_01114 | Number Sense | Compare Fractions, Decimals, and Percents | Identify equivalent representations of numbers. |
| WP695 | SMMA_LO_02109 | Number Sense | Compare Numbers | Compare rational numbers in real-world contexts. |
| AP677 | SMMA_LO_02110 | Number Sense | Compare Numbers | Complete statements of order for rational numbers in real-world contexts. |
| AP675 | SMMA_LO_02066 | Number Sense | Use Integers to Represent Quantities | Use positive and negative numbers together to represent quantities having opposite directions or values. |
| NC698 | SMMA_LO_02217 | Number Sense | Relate Perfect Squares and Cubes to Area and Volume | Determine side lengths and areas in squares, and side lengths and volumes in cubes. |
| FR690 | SMMA_LO_00511 | Number Sense | Determine Equivalent Expressions | Identify the equivalent expression for a fraction, whole number, or a mixed numbers being divided by a fraction, a whole number, or a mixed number. |
| NC650 | SMMA_LO_00842 | Number Sense | Solve Ratios/Proportion Problems Involving Time/Cost | Solve time and distance problems (whole numbers). |
| NC648 | SMMA_LO_01820 | Number Sense | Determine Equivalent Fractions, Decimals, and Percents | Complete the equivalence table by expressing a decimal number as a fraction and a percent. |
| NC667 | SMMA_LO_01821 | Number Sense | Determine Equivalent Fractions, Decimals, and Percents | Complete the equivalence table by expressing a decimal number as a fraction and a percent (round answer to the nearest hundredth). |
| NC670 | SMMA_LO_01822 | Number Sense | Determine Equivalent Fractions, Decimals, and Percents | Complete the equivalence table by expressing a fraction as a decimal number and a percent (round answer to the nearest hundredth). |
| NC695 | SMMA_LO_01823 | Number Sense | Absolute Value | Identify absolute value as a distance from zero on a number line. |
| MU675 | SMMA_LO_02226 | Number Sense | Use Distributive Property of Multiplication to Identify Equivalent Expressions | Use the distributive property to express a sum of two whole numbers. |
| NC691 | SMMA_LO_02262 | Number Sense | Use Distributive Property of Multiplication to Identify Equivalent Expressions | Rewrite an expression as an equivalent expression using the distributive property. |
| NC657 | SMMA_LO_01096 | Number Theory | Multiples | Identify the common multiples for two to three numbers (2 to 20). |
| NC605 | SMMA_LO_01098 | Number Theory | Prime Factorization | Give the value of a number (1 to 10) raised to a power (1 to 5). |
| NC608 | SMMA_LO_01100 | Number Theory | Prime Factorization | Match expressions with repeated factors to numbers in exponential form to create equations. |
| NC652 | SMMA_LO_01087 | Number Theory | Prime Factors | Using a factor tree, find the prime factors of a number (2 to 32). |
| NC655 | SMMA_LO_01088 | Number Theory | Factors | Identify a common factor of two numbers (4 to 81). |
| NC660 | SMMA_LO_01108 | Number Theory | Least Common Multiples | Given the prime factorization of two numbers, find the common multiple. |
| NC665 | SMMA_LO_01112 | Number Theory | Least Common Multiples | Find the least common multiple of two or three numbers. |
| MU650 | SMMA_LO_02225 | Number Theory | Least Common Multiples | Find the least common multiple of two whole numbers. |
| NC662 | SMMA_LO_01110 | Number Theory | Determine Greatest Common Factor | Find the greatest common factor for two to three numbers. |
| MU625 | SMMA_LO_02224 | Number Theory | Determine Greatest Common Factor | Find the greatest common factor of two whole numbers. |
| AD675 | SMMA_LO_00127 | Operations with Numbers | Evaluate Integer Expressions Using Distributive Property of Multiplication | Evaluate -a(a + b), where 9 < a < 19, 1 < b < 9. |
| WP665 | SMMA_LO_01624 | Operations with Numbers | Add Mixed Numbers with Like Denominators | Add mixed numbers with like denominators in context; simplify if necessary. |
| DC655 | SMMA_LO_00246 | Operations with Numbers | Determine Reasonableness of Quotient | Identify a reasonable answer for a division problem. |
| DC650 | SMMA_LO_00245 | Operations with Numbers | Divide Decimals to Hundredths | Divide decimals (0.3 x 0.3 to 0.9 x 0.09). |
| DC675 | SMMA_LO_00251 | Operations with Numbers | Divide Decimals to Tenths | Divide decimals (0 x 2 to 2 x 5). |
| DC660 | SMMA_LO_00247 | Operations with Numbers | Divide Decimals Using Long Division | Move the decimal point in the divisor and dividend in a long division problem. |
| DC670 | SMMA_LO_00249 | Operations with Numbers | Divide Decimals Using Long Division | Move the decimal point in the divisor and dividend in a long division problem; then find the quotient. |
| FR660 | SMMA_LO_01790 | Operations with Numbers | Divide Mixed Numbers | Divide a mixed number by a mixed number; simplify if necessary. |
| FR600 | SMMA_LO_00492 | Operations with Numbers | Divide Whole Numbers by Fractions | Divide a whole number by a fraction. |
| WP650 | SMMA_LO_02053 | Operations with Numbers | Divide Whole Numbers by Fractions | Use models to solve real-world problems involving division of whole numbers by unit fractions. |
| WP660 | SMMA_LO_02156 | Operations with Numbers | Divide Whole Numbers by Fractions | Use models to solve real-world problems involving division of unit fractions by nonzero whole numbers. |
| DV625 | SMMA_LO_00297 | Operations with Numbers | Divide Whole Numbers with Remainders Using Long Division | Divide using the long division algorithm (three-digit dividend, one-digit divisor, remainder). |
| DV640 | SMMA_LO_00298 | Operations with Numbers | Divide Whole Numbers with Remainders Using Long Division | Divide using the long division algorithm (three-digit dividend, one-digit divisor, remainder). |
| DV615 | SMMA_LO_00295 | Operations with Numbers | Divide Whole Numbers with Remainders Using Long Division | Divide using the long division algorithm (one-digit divisor, remainder). |
| DV690 | SMMA_LO_00304 | Operations with Numbers | Divide Whole Numbers with Remainders Using Long Division | Divide using the long division algorithm (three-digit number, two-digit divisor, remainder). |
| DV610 | SMMA_LO_00296 | Operations with Numbers | Divide Whole Numbers without Remainders Using Long Division | Divide using the long division algorithm (three-digit dividend, one-digit divisor, no remainder). |
| NC680 | SMMA_LO_00101 | Operations with Numbers | Identify Integers Using a Number Line | Locate the missing integer on a number line (-3 to -12). |
| WP670 | SMMA_LO_01625 | Operations with Numbers | Multiply and Divide Decimals in Context | Find the number of hours worked given the hourly rate and total earned. |
| NC640 | SMMA_LO_00830 | Operations with Numbers | Multiply and Divide Decimals in Context | Find the unit price of an item (products 2 x 6 to 25 x 32). |
| DC677 | SMMA_LO_00252 | Operations with Numbers | Multiply Decimals | Multiply a whole number or a decimal by 0.1, 0.01, or 0.001. |
| MU600 | SMMA_LO_02223 | Operations with Numbers | Multiply Decimals | Fluently multiply multi-digit decimals. |
| DC620 | SMMA_LO_00234 | Operations with Numbers | Multiply Decimals to Hundred-Thousandths | Multiply decimals (to thousandths x hundredths). |
| DC645 | SMMA_LO_00244 | Operations with Numbers | Multiply Decimals to Hundred-Thousandths | Multiply decimals (to ten-thousandths x ten-thousandths). |
| DC625 | SMMA_LO_00239 | Operations with Numbers | Multiply/Divide Decimals by Whole Numbers | Divide a decimal by a whole number. |
| DC665 | SMMA_LO_00248 | Operations with Numbers | Multiply/Divide Decimals by Whole Numbers | Divide a decimal by a whole number. |
| DC630 | SMMA_LO_00240 | Operations with Numbers | Multiply/Divide Decimals to Determine Missing Factor | Determine the missing factor in the multiplication number sentence (decimals, to ten-thousandths). |
| AP696 | SMMA_LO_02263 | Operations with Numbers | Multiply/Divide Decimals to Determine Missing Factor | Determine the unknown decimal in an equation involving any of the four operations. |
| DV675 | SMMA_LO_00303 | Operations with Numbers | Multiply/Divide Whole Numbers to Determine Missing Dividend/Divisor | Find the missing dividend or divisor (combinations 20 _ 20 to 90 _ 90). |
| DC640 | SMMA_LO_00243 | Operations with Numbers | Subtract Decimals with Regrouping to Ten-Thousandths | Subtract decimals with regrouping (to ten-thousandths). |
| GE615 | SMMA_LO_00508 | Operations with Numbers | Multiply Mixed Numbers | Multiply mixed numbers to determine the area of a rectangle or triangle; simplify if necessary. |
| PS600 | SMMA_LO_01713 | Operations with Numbers | Determine Percent | Determine the percent (100 total items). |
| FR650 | SMMA_LO_01789 | Operations with Numbers | Divide Mixed Numbers by Fractions | Divide a mixed number by a fraction; simplify if necessary. |
| FR625 | SMMA_LO_01788 | Operations with Numbers | Divide Mixed Numbers by Fractions | Divide a fraction by a fraction; simplify if necessary. |
| DC605 | SMMA_LO_01785 | Operations with Numbers | Add Decimals to Hundredths | Add the decimal numbers provided on a data table. |
| DC600 | SMMA_LO_01786 | Operations with Numbers | Subtract Decimals to Hundredths | Subtract the decimal numbers provided on a data table. |
| DC699 | SMMA_LO_02261 | Operations with Numbers | Subtract Decimals to Hundredths | Solve multi-step real-world problems involving any of the four operations including decimals. |
| FR692 | SMMA_LO_02328 | Operations with Numbers | Subtract Mixed Numbers with Like Denominators | Solve multi-step real-world problems involving any of the four operations including fractions. |
| DC612 | SMMA_LO_00228 | Operations with Numbers | Subtract Decimals Vertically with Regrouping to Thousandths | Align the decimal numbers for a vertical subtraction problem; then solve (to thousandths). |
| DC615 | SMMA_LO_00233 | Operations with Numbers | Subtract Decimals Vertically with Regrouping to Thousandths | Align the decimal numbers in a vertical subtraction problem; then solve (decimals to thousandths). |
| DC610 | SMMA_LO_00226 | Operations with Numbers | Add Decimals with Regrouping | Align the decimal numbers for a vertical addition problem; then solve (to thousandths). |
| AD625 | SMMA_LO_00099 | Operations with Numbers | Add Three-Digit/Four-Digit Whole Numbers with Regrouping | Add two addends (student choice, a three-digit and a four-digit addends, sums 1111 to 10998, regrouping in all places). |
| AD600 | SMMA_LO_00098 | Operations with Numbers | Add Three-Digit Whole Numbers with Regrouping | Add three addends (student choice, three-digit addends, sums 311 to 2997, regrouping in all places). |
| SU650 | SMMA_LO_01502 | Operations with Numbers | Subtract Whole Numbers with Regrouping from Tens/Hundreds/Thousands Place | Subtract across zero (student choice, four-digit minuends with a 0 in the tens place, regrouping from the tens, hundreds, and thousands places). |
| SU675 | SMMA_LO_01503 | Operations with Numbers | Subtract Whole Numbers with Regrouping from Tens/Hundreds/Thousands Place | Subtract across zero (student choice, four-digit minuends with a 0 in the tens place, regrouping from the tens, hundreds, and thousands places). |
| SU600 | SMMA_LO_01498 | Operations with Numbers | Subtract Four-Digit Numbers with Regrouping | Find the difference of two whole numbers (student choice, four-digit numbers, regrouping from tens and hundreds places). |
| SU625 | SMMA_LO_01501 | Operations with Numbers | Subtract Four-Digit Numbers with Regrouping | Find the difference of two whole numbers (student choice, four-digit numbers, regrouping from tens and thousands places). |
| AD650 | SMMA_LO_00100 | Operations with Numbers | Add Four-Digit Whole Numbers with Regrouping | Add two addends (student choice, four-digit addends, sums 2111 to 19998, regrouping in all places). |
| WP690 | SMMA_LO_01616 | Operations with Numbers | Solve Division Problems in Context | Solve a division problem in context (remainder). |
| WP605 | SMMA_LO_01575 | Operations with Numbers | Solve Multiplication/Division Problems in Context | Given a rate and a model, find a distance. |
| NC622 | SMMA_LO_00269 | Operations with Numbers | Convert between Percents, Fractions, and Decimals | Express a percent as a fraction and simplify. |
| NC625 | SMMA_LO_00270 | Operations with Numbers | Solve Percent Problems Involving Money | Find a percent of a money amount ($0.80 to $10.80). |
| NC632 | SMMA_LO_00275 | Operations with Numbers | Solve Percent Problems Using Part-Whole Relationships | Find a percent of a number (the percent is greater than or equal to 100). |
| NC635 | SMMA_LO_00276 | Operations with Numbers | Solve Percent Problems Using Part-Whole Relationships | Find the percent given the whole and the part. |
| NC638 | SMMA_LO_00277 | Operations with Numbers | Solve Percent Problems Using Part-Whole Relationships | Find the whole given the percent and the part. |
| DV600 | SMMA_LO_00300 | Operations with Numbers | Use Conceptual Models to Understand Division | Represent a quotient by using arrays, area models, or equations. |
| FR620 | SMMA_LO_00487 | Operations with Numbers | Divide Decimals | Divide fraction by fraction; simplify if necessary. |
| FR675 | SMMA_LO_00491 | Operations with Numbers | Divide Fractions by Mixed Numbers | Divide a fraction by a mixed number; simplify if necessary. |
| FR670 | SMMA_LO_00502 | Operations with Numbers | Divide Mixed Numbers by Whole Numbers | Divide a mixed number by a whole number. |
| FR640 | SMMA_LO_00512 | Operations with Numbers | Divide Fractions | Divide fraction by fraction; simplify. |
| DC635 | SMMA_LO_00241 | Place Value | Identify Decimal Place Value to Ten-Thousandths | Identify the place value of a digit in a decimal number (tenths to ten thousandths). |
| AP685 | SMMA_LO_02112 | Graph, Chart, and Table Construction | Points in the Coordinate Plane | Graph points on a coordinate plane based on a real-world context. |
* Math Concepts and Skills