Number Sense and Operations
| Grade 5 | Strand: Number Sense and Operations | |||
|---|---|---|---|---|
| MCS* Level | LO ID | Concept | Topic | Description |
| WP550 | SMMA_LO_01622 | Estimation | Estimate Products/Quotients | Estimate the product by rounding each factor (a two-digit number by a three-digit number). |
| DC585 | SMMA_LO_00238 | Estimation | Estimate Products/Quotients | Identify the best estimate for a quotient (decimal divided by a whole number). |
| MU590 | SMMA_LO_01099 | Estimation | Estimate Products/Quotients | Estimate the product of two factors (11 x 11 to 999 x 999). |
| DC570 | SMMA_LO_00231 | Estimation | Estimate Sum, Difference, Product, or Quotient | Identify the best estimate of a sum, difference, or product. |
| PS525 | SMMA_LO_01109 | Estimation | Estimate Sum, Difference, Product, or Quotient | Estimate the sum, difference, product or quotient to solve a problem in context (round to the nearest thousand). |
| NC575 | SMMA_LO_01278 | Estimation | Estimate Products/Quotients Using Money Amounts | Identify the most reasonable answer to a multiplication problem involving money. |
| NC585 | SMMA_LO_01279 | Estimation | Estimate Products/Quotients Using Money Amounts | Identify the most reasonable answer to a division problem involving money. |
| DC596 | SMMA_LO_02253 | Estimation | Determine Reasonableness | Estimate multiplication or division of multi-digit numbers with decimals to the hundredths. |
| DC505 | SMMA_LO_00224 | Number Sense | Determine Equivalent Fractions and Decimals | Match a decimal number to an equivalent fraction (tenths to thousandths). |
| DC557 | SMMA_LO_00225 | Number Sense | Compare Decimals to Thousandths | Compare decimal numbers (to thousandths). |
| FR518 | SMMA_LO_00457 | Number Sense | Determine Equivalent Fractions | Find an equivalent fraction of a simplified fraction (simplified fractions 1/2 to 8/9). |
| FR504 | SMMA_LO_01791 | Number Sense | Determine Equivalent Fractions | Generate a table of equivalent fractions for a fraction in simplest form. |
| FR521 | SMMA_LO_01792 | Number Sense | Determine Equivalent Fractions | Generate a table of equivalent fractions for a fraction not in simplest form. |
| FR516 | SMMA_LO_01793 | Number Sense | Determine Equivalent Fractions | Identify the fraction equivalent to the given fraction. |
| FR523 | SMMA_LO_00458 | Number Sense | Determine Equivalent Fractions | Find three equivalent fractions (simplified fractions 1/2 to 8/9). |
| ME525 | SMMA_LO_00809 | Number Sense | Determine Equivalent Fractions and Decimals Using Money Amounts | Identify the fraction of a dollar a coin is worth (penny to half-dollar). |
| DC577 | SMMA_LO_00236 | Number Sense | Order Decimals to Thousandths | Order three decimals from least to greatest (to thousandths). |
| FR502 | SMMA_LO_00452 | Number Sense | Simplify Fractions | Determine if a fraction can be divided to find an equivalent fraction (equivalent fractions 1/2 to 3/4). |
| FR509 | SMMA_LO_00454 | Number Sense | Simplify Fractions | Determine if a fraction can be simplified; simplify if possible (simplified fractions 1/2 to 7/8). |
| FR514 | SMMA_LO_00456 | Number Sense | Simplify Fractions | Determine if a fraction can be divided to find an equivalent fraction (equivalent simplified fractions 1/2 to 7/8). |
| FR507 | SMMA_LO_00453 | Number Sense | Simplify Fractions | Find the equivalent fraction (1/2 to 7). |
| FR511 | SMMA_LO_00455 | Number Sense | Simplify Fractions | Write a fraction in simplest form (simplified fractions 1/2 to 7/8). |
| ME570 | SMMA_LO_00817 | Number Sense | Solve Fraction Problems in Context | Find a fraction of an hour in minutes (1/4, 1/3, 1/2, 2/3, or 3/4 hour). |
| PS526 | SMMA_LO_01285 | Number Sense | Solve Fraction Problems in Context | Determine the sale price of an item when the price is reduced by one-half, one-third, or one-fourth. |
| FR528 | SMMA_LO_01706 | Number Sense | Determine Equivalent Fractions for One-Half | Use addition to find an equivalent fraction for 1/2. |
| NC525 | SMMA_LO_02046 | Number Sense | Multiply Using Basic Math Facts | Explain patterns in the number of zeroes of the product and in the placement of the decimal point when multiplying a number by powers of ten. |
| NC550 | SMMA_LO_01103 | Number Sense | Order Decimals | Identify a list of decimal numbers ordered from least to greatest. |
| NC530 | SMMA_LO_01079 | Number Theory | Identify Odd/Even Numbers | Identify if a sum or difference of two numbers is odd or even (one- or two-digit numbers). |
| NC550 | SMMA_LO_01086 | Number Theory | Identify Odd/Even Numbers | Identify if the sum, difference, or product of two numbers is even or odd. |
| FR500 | SMMA_LO_00493 | Number Theory | Least Common Denominator | Determine the common denominator of two fractions. |
| FR525 | SMMA_LO_00494 | Number Theory | Least Common Denominator | Determine the equivalent fractions using the least common denominator of two given fractions. |
| NC500 | SMMA_LO_01091 | Number Theory | Order of Operations with Grouping Symbols | Evaluate an expression using the order of operations. |
| DV500 | SMMA_LO_00291 | Operations with Numbers | Divide Multiples of 10 | Divide (combinations 2 x 20 to 5 x 90, three-digit dividend, one or two-digit divisor, noremainder). |
| DV525 | SMMA_LO_00293 | Operations with Numbers | Divide Multiples of 10 | Divide (combinations 6 x 20 to 9 x 90). |
| WP560 | SMMA_LO_01623 | Operations with Numbers | Add Mixed Numbers with Like Denominators | Determine the number of dollar bills needed to buy three to five items). |
| AD575 | SMMA_LO_00097 | Operations with Numbers | Add Two-Digit/Three-Digit Whole Numbers with Regrouping | Add three addends (student choice, a two-digit and 2 three-digit addends, sums 211 to 2097, regrouping in all places). |
| WP525 | SMMA_LO_01608 | Operations with Numbers | Add/Subtract Money | Solve a problem in context that involves adding three amounts expressed as dollars and cents. |
| WP510 | SMMA_LO_01611 | Operations with Numbers | Add/Subtract Money | Find the total value of a group of quarters, dimes, nickels, and pennies (sums to $1.65). |
| ME599 | SMMA_LO_02259 | Operations with Numbers | Add/Subtract Money | Solve multi-step real-world problems involving money including decimals. |
| DV550 | SMMA_LO_00299 | Operations with Numbers | Divide Whole Numbers with Remainders Using Long Division | Multiply multiples of 10 using mental math (20 x 20 to 90 x 90). |
| DC540 | SMMA_LO_00219 | Operations with Numbers | Multiply Decimals | Find the missing factor and quotient in two related number sentences (products 0.2 x 2 to 0.9 x 5). |
| DC555 | SMMA_LO_00223 | Operations with Numbers | Multiply Decimals | Multiply two decimals or multiply a decimal by a whole number (tenths to hundredths). |
| DC575 | SMMA_LO_00235 | Operations with Numbers | Multiply Decimals | Multiply decimals by 10, 100, or 1000. |
| DC595 | SMMA_LO_00250 | Operations with Numbers | Multiply Decimals | Identify the probable error in a multiplication calculation with decimals. |
| DC550 | SMMA_LO_00222 | Operations with Numbers | Multiply Decimals | Identify the location of the decimal point of the product of two decimals (factors, tenths to hundredths). |
| DC572 | SMMA_LO_00232 | Operations with Numbers | Multiply Decimals Horizontally to Hundredths | Multiply decimals displayed horizontally (0.2 x 0.6 to 0.9 x 0.12). |
| MU520 | SMMA_LO_01078 | Operations with Numbers | Multiply Multiples of 10 | Multiply one- to five-digit whole numbers by powers of ten (10 to 100,000). |
| MU500 | SMMA_LO_00911 | Operations with Numbers | Multiply Multiples of 10 | Multiply whole numbers (multiples of 10 or 100). |
| MU550 | SMMA_LO_00902 | Operations with Numbers | Multiply Multiples of 10 | Multiply whole numbers (student choice, products 100 x 20 to 990 x 90, multiples of 10). |
| MU560 | SMMA_LO_00904 | Operations with Numbers | Multiply Multiples of 10 | Multiply whole numbers (student choice, products 101 x 20 to 999 x 90, multiples of 10). |
| MU555 | SMMA_LO_00905 | Operations with Numbers | Multiply Multiples of 10 | Multiply whole numbers (student choice, products 100 x 21 to 990 x 90, multiples of 10). |
| MU525 | SMMA_LO_00899 | Operations with Numbers | Multiply Two-Digit Whole Numbers | Multiply whole numbers (student choice, products 11 x 11 to 15 x 99). |
| MU570 | SMMA_LO_00900 | Operations with Numbers | Multiply Two-Digit Whole Numbers | Multiply whole numbers (student choice, products 10,000 x 2 to 99,999 x 9). |
| MU535 | SMMA_LO_00901 | Operations with Numbers | Multiply Two-Digit Whole Numbers | Multiply a two-digit number by a two-digit number (student choice, products 16 x 11 to 19 x 99). |
| MU530 | SMMA_LO_00903 | Operations with Numbers | Multiply Two-Digit Whole Numbers | Multiply whole numbers (student choice, products 21 x 11 to 99 x 99). |
| DC545 | SMMA_LO_00221 | Operations with Numbers | Multiply/Divide Decimals by Whole Numbers | Multiply a decimal and a whole number displayed horizontally (0.02 x 2 to 0.09 x 5). |
| DC580 | SMMA_LO_00237 | Operations with Numbers | Multiply/Divide Decimals to Determine Missing Factor | Divide a decimal by a decimal (horizontal division; dividends to tenths). |
| WP575 | SMMA_LO_01617 | Operations with Numbers | Solve Division Problems in Context | Interpret the quotient and remainder of a division problem in context (three-digit dividends). |
| NC597 | SMMA_LO_02247 | Operations with Numbers | Solve Division Problems in Context | Solve multi-step real-world problems using all 4 operations where remainders are interpreted within the context. |
| PS500 | SMMA_LO_01283 | Operations with Numbers | Solve Multiplication/Division Problems with Missing/Extra Information | Identify the missing information needed to solve a multiplication problem in context; then solve the problem. |
| AP525 | SMMA_LO_00159 | Operations with Numbers | Subtract Decimals with Regrouping to Tenths | Subtract metric length or weight measurements expressed as decimals (to tenths, difference 1.2 to 8.9, regrouping). |
| SU575 | SMMA_LO_01504 | Operations with Numbers | Subtract Four-Digit Numbers with Regrouping | Find the difference of two whole numbers (student choice, four-digit numbers, regrouping from tens, hundreds, and thousands places). |
| WP500 | SMMA_LO_01609 | Operations with Numbers | Subtract Money Amounts | Find the change from one dollar for two to four items (each 10, 15, or 20 cents). |
| SU525 | SMMA_LO_01499 | Operations with Numbers | Subtract Whole Numbers with Regrouping from Tens/Hundreds/Thousands Place | Subtract a three-digit number from a four-digit number (student choice, regrouping from tens, hundreds, and thousands places). |
| SU550 | SMMA_LO_01500 | Operations with Numbers | Subtract Whole Numbers with Regrouping from Tens/Hundreds/Thousands Place | Subtract a three-digit number from a four-digit number (student choice, regrouping from tens, hundreds, and thousands places). |
| ME585 | SMMA_LO_02049 | Operations with Numbers | Use Conceptual Models to Understand Multiplication: Arrays/Area Model | Find the area of a rectangle with fractional side lengths in two ways: by multiplying its side lengths and by tiling it with smaller rectangles. |
| AP505 | SMMA_LO_01733 | Operations with Numbers | Use Conceptual Models to Understand Multiplication: Arrays/Area Model | Identify equivalent arrays with different factors (two-digit factors). |
| AP520 | SMMA_LO_01734 | Operations with Numbers | Use Conceptual Models to Understand Multiplication: Arrays/Area Model | Use an area model to solve a multiplication problem (two-digit factors). |
| FR551 | SMMA_LO_01707 | Operations with Numbers | Estimate Fraction Differences | Estimate the difference of two fractions. |
| AD525 | SMMA_LO_00093 | Operations with Numbers | Add Three-Digit Whole Numbers with Regrouping | Add two addends (student choice, three-digit addends, sums 1000 to 1989, regrouping). |
| AD550 | SMMA_LO_00096 | Operations with Numbers | Add Three-Digit Whole Numbers with Regrouping | Add two addends (student choice, three-digit addends, sums 1000 to 1998, regrouping in all places). |
| AD500 | SMMA_LO_00077 | Operations with Numbers | Add Three-Digit Whole Numbers with Regrouping | Add two addends (student choice, three-digit addends, sums 1000 to 1899, regrouping hundreds). |
| DC515 | SMMA_LO_00208 | Operations with Numbers | Subtract Money Amounts with Regrouping | Subtract money amounts (sums less than $17.00, regrouping). |
| DC530 | SMMA_LO_00214 | Operations with Numbers | Subtract Money Amounts with Regrouping | Subtract money amounts (sums less than $50.00, regrouping). |
| DC512 | SMMA_LO_00207 | Operations with Numbers | Subtract Decimals to Hundredths | Subtract decimals numbers (minuends and subtrahends 0.01 to 9.99). |
| DC510 | SMMA_LO_00206 | Operations with Numbers | Add Decimals to Hundredths | Add decimals using addition facts (sums 0.02-0.99). |
| DC522 | SMMA_LO_00211 | Operations with Numbers | Add Decimals with Regrouping | Align the decimal numbers in a vertical addition problem; then solve (hundredths, regrouping). |
| DC520 | SMMA_LO_00210 | Operations with Numbers | Add and/or Subtract Decimals | Add or subtract decimals using mental math (sums less than 1.00, with or without regrouping). |
| DC535 | SMMA_LO_00217 | Operations with Numbers | Add Decimals to Tenths | Add decimals numbers using mental math (sums 1.0 to 99.8, regrouping). |
| DC525 | SMMA_LO_00212 | Operations with Numbers | Subtract Decimals Vertically with Regrouping to Hundredths | Align the decimal numbers in a vertical subtraction problem; then solve (hundredths, regrouping). |
| DC590 | SMMA_LO_00242 | Operations with Numbers | Relate Decimal to Model | Match a decimal number to a model (thousandths). |
| SU500 | SMMA_LO_01497 | Operations with Numbers | Subtract Whole Numbers with Regrouping from Tens/Hundreds Place | Subtract a three-digit number from a four-digit number (regrouping from the tens and hundreds places). |
| DV575 | SMMA_LO_00315 | Operations with Numbers | Determine Estimate for Long Division Problem | Choose the best estimate for a long division problem (three-digit dividends, two-digit divisors). |
| FR595 | SMMA_LO_02052 | Operations with Numbers | Divide Fractions by Whole Numbers | Model the division of a unit fraction by a nonzero whole number, and compute the quotient. |
| FR570 | SMMA_LO_00469 | Operations with Numbers | Multiply Fractions | Multiply fractions; no simplifying. |
| FR572 | SMMA_LO_00475 | Operations with Numbers | Multiply Fractions | Multiply fractions (1/2 to 9/10). |
| FR579 | SMMA_LO_00476 | Operations with Numbers | Multiply Fractions | Multiply fractions; simplify first. |
| FR581 | SMMA_LO_00498 | Operations with Numbers | Multiply Fractions | Find a fractional part of a fraction. |
| FR584 | SMMA_LO_02054 | Operations with Numbers | Multiply Fractions | Model the multiplication of two fractions; complete an equation to show the product; interpret a real-world context that can be modeled by this equation. |
| FR575 | SMMA_LO_00477 | Operations with Numbers | Multiply Fractions and Whole Numbers | Multiply a fraction and a whole number; simplify. |
| FR577 | SMMA_LO_00478 | Operations with Numbers | Multiply Fractions and Whole Numbers | Multiply a fraction and a whole number; simplify first. |
| FR567 | SMMA_LO_00470 | Operations with Numbers | Multiply Fractions and Whole Numbers | Multiply a whole number by a proper fraction; no simplifying. |
| FR565 | SMMA_LO_02048 | Operations with Numbers | Multiply Fractions and Whole Numbers | Model multiplication of a whole number by a fraction; complete an equation to show the product; interpret a real-world context that can be modeled by this equation. |
| FR591 | SMMA_LO_02047 | Operations with Numbers | Solve Fraction Problems in Context | Model a division word problem that results in a rational quotient; then express the word problem with an equation. |
| NC560 | SMMA_LO_02050 | Operations with Numbers | Compare Products Using Symbols | Determine whether multiplying a number by a factor results in scaling the number up or down. |
| FR593 | SMMA_LO_02051 | Operations with Numbers | Compare Products Using Symbols | Determine whether multiplying a number by a factor results in scaling the number up or down. |
| DC587 | SMMA_LO_02193 | Operations with Numbers | Use Conceptual Models to Understand Division | Represent quotients of decimals using objects and pictorial models, including area models. |
| FR539 | SMMA_LO_00464 | Operations with Numbers | Subtraction Fractions from 2 | Subtract a fraction from 1; simplify (halves to sixteenths). |
| FR530 | SMMA_LO_00465 | Operations with Numbers | Add Fractions with Unlike Denominators | Add fractions; no simplifying (unlike denominators). |
| FR532 | SMMA_LO_00467 | Operations with Numbers | Add Fractions with Unlike Denominators | Add fractions; no simplifying (unlike denominators). |
| FR535 | SMMA_LO_00471 | Operations with Numbers | Add Fractions with Unlike Denominators | Add fractions (unlike denominators). |
| FR537 | SMMA_LO_00473 | Operations with Numbers | Add Fractions with Unlike Denominators | Add fractions; simplify if necessary (unlike denominators). |
| FR542 | SMMA_LO_00466 | Operations with Numbers | Subtract Fractions with Unlike Denominators | Subtract fractions; no simplifying (unlike denominators). |
| FR544 | SMMA_LO_00468 | Operations with Numbers | Subtract Fractions with Unlike Denominators | Subtract fractions; no simplifying (unlike denominators). |
| FR546 | SMMA_LO_00472 | Operations with Numbers | Subtract Fractions with Unlike Denominators | Subtract fractions; simplify if necessary (unlike denominators). |
| FR549 | SMMA_LO_00474 | Operations with Numbers | Subtract Fractions with Unlike Denominators | Subtract fractions; (unlike denominators); rename improper fraction. |
| FR553 | SMMA_LO_00499 | Operations with Numbers | Add Mixed Numbers with Unlike Denominators | Add mixed numbers (unlike denominators). |
| FR556 | SMMA_LO_00504 | Operations with Numbers | Add Mixed Numbers with Unlike Denominators | Add mixed numbers; simplify if necessary (unlike denominators). |
| FR558 | SMMA_LO_00505 | Operations with Numbers | Subtract Mixed Numbers with Unlike Denominators | Subtract mixed numbers (unlike denominators). |
| FR563 | SMMA_LO_00510 | Operations with Numbers | Subtract Mixed Numbers with Unlike Denominators | Subtract mixed numbers within a context; simplify if necessary (unlike denominators). |
| FR550 | SMMA_LO_00500 | Operations with Numbers | Subtract Mixed Numbers with Unlike Denominators | Subtract mixed numbers (unlike denominators). |
| FR588 | SMMA_LO_00501 | Operations with Numbers | Multiply Mixed Numbers | Multiply mixed numbers; simplify if necessary. |
| NC595 | SMMA_LO_00835 | Operations with Numbers | Multiply Mixed Numbers and Fractions | Find the fractional part of a recipe (multiply a fraction and a mixed number). |
| MU572 | SMMA_LO_00906 | Operations with Numbers | Multiply Four-Digit by Two-Digit Numbers | Multiply (student choice, products 1000 x 20 to 9999 x 90, multiples of 10). |
| MU580 | SMMA_LO_00909 | Operations with Numbers | Multiply Four-Digit by Two-Digit Numbers | Multiply whole numbers (student choice, products 1000 x 21 to 9999 x 99). |
| MU565 | SMMA_LO_00907 | Operations with Numbers | Multiply Three-Digit by Two-Digit Whole Numbers | Multiply whole numbers (student choice, products 101 x 21 to 999 x 99). |
| MU575 | SMMA_LO_00908 | Operations with Numbers | Multiply Five-Digit by Two-Digit Numbers | Multiply by a multiple of 10 (student choice, 10,000 x 20 to 99,999 x 90). |
| MU585 | SMMA_LO_00910 | Operations with Numbers | Multiply Five-Digit by Two-Digit Numbers | Multiply whole numbers (student choice, 10,000 x 21 to 99,999 x 99). |
| NC535 | SMMA_LO_01118 | Operations with Numbers | Compare Decimals | Find a decimal number that is either greater than or less than two decimal numbers. |
| FR598 | SMMA_LO_01787 | Operations with Numbers | Divide Whole Numbers by Fractions | Divide a whole number by a fraction; simplify if necessary. |
| MU510 | SMMA_LO_02192 | Operations with Numbers | Multiply Basic Math Facts | Determine products of a number and 10 or 100. |
| NC510 | SMMA_LO_01089 | Place Value | Determine Decimal Numbers Using Place-Value Charts | Enter a decimal number in a place-value chart (tenths to thousandths). |
| DC500 | SMMA_LO_00204 | Place Value | Relate Word Name to Decimal Number | Match the word name with the decimal number (0.10 to 9.99). |
| DC560 | SMMA_LO_00227 | Place Value | Relate Word Name to Decimal Number | Match a decimal number to its word me (to thousandths). |
| DC565 | SMMA_LO_00230 | Place Value | Round Decimals to Hundredths | Round a decimal to the nearest tenth, hundredth, or whole number. |
| NC520 | SMMA_LO_02045 | Place Value | Determine Place Value of Digits | Identify the place and the value of a digit in a number; for that value, identify the number 10 times as much and the number 1/10 as much. |
| NC501 | SMMA_LO_02256 | Written Equations | Determine Whether an Equation is True or False | Determine which equations involving any of the four operations are true. |
* Math Concepts and Skills