Common Planner
K–12 Standards

Mathematics

Other Virginia Applied Studies Curriculum Map sets

Time, Task and Resource Management - The student utilizes mathematical concepts to coordinate and plan daily activities. WRS: 1, 15, 16MATH-TTRM

  • 1

    Recognize and Recall

    1. a

      Identify numbers 1- 60, days of the week, months of the yearMATH-TTRM.1a

    2. b

      Respond to timer-based systems during daily activitiesMATH-TTRM.1b

  • 2

    Identify and Comprehend

    1. a

      Find a specified date on a calendarMATH-TTRM.2a

    2. b

      Access and follow a personalized daily schedule (e.g. visual, auditory)MATH-TTRM.2b

    3. c

      Identify the time using digital and/or analog clocks (hours, half hours minutes) MATH-TTRM.2c

    4. d

      Calculate elapsed time using digital or analog clocks MATH-TTRM.2d

  • 3

    Interpret and Understand

    1. a

      Prioritize activities, from a given set, to develop a personal daily, weekly, and/or monthly scheduleMATH-TTRM.3a

    2. b

      Use digital and analog clocks at all intervals (hour, half-hour, minute) to comment on the time, estimate time needs, and solve real-life problemsMATH-TTRM.3b

    3. c

      Demonstrate knowledge of equivalent units of time (i.e., 1 hour = 60 minutes; 1 day = 24 hours)MATH-TTRM.3c

    4. d

      Predict the length of time a given event will takeMATH-TTRM.3d

  • 4

    Apply and Generalize

    1. a

      Utilize a calendar to plan for and participate in a variety of activities MATH-TTRM.4a

    2. b

      Use a calendar to coordinate events or activities with othersMATH-TTRM.4b

    3. c

      Create a schedule to plan for, participate in and follow academic, work-related, and leisure activities (daily, weekly and monthly)MATH-TTRM.4c

    4. d

      Use clocks and watches or other electronics to understand time, predict, and prepare for eventsMATH-TTRM.4d

Data Sense - The student demonstrates ability to collect and use data to make informed decisions. WRS: 16MATH-DATA

  • 1

    Recognize and Recall

    1. a

      Gather data by counting and tallying MATH-DATA.1a

    2. b

      With information provided, sort necessary from unnecessary dataMATH-DATA.1b

    3. c

      Recognize that a graph provides informationMATH-DATA.1c

  • 2

    Identify and Comprehend

    1. a

      Identify various forms of data collection (reflective of daily activities), using graphsMATH-DATA.2a

    2. b

      Categorize data to put in usable formatMATH-DATA.2b

    3. c

      Insert data into a preconstructed templateMATH-DATA.2c

    4. d

      Use graph data to answer questionsMATH-DATA.2d

    5. e

      Compare two sets of data within a single data displayMATH-DATA.2e

  • 3

    Interpret and Understand

    1. a

      Collect and organize data, using surveys, observations, measurements, or experimentsMATH-DATA.3a

    2. b

      Determine most appropriate form of data representation MATH-DATA.3b

    3. c

      Given a model, interpret data on a graph in order to explain the information it providesMATH-DATA.3c

    4. d

      Interpret and explain information displayed in a graph, using the vocabulary more, less, fewer, greater than, less than, and equal toMATH-DATA.3d

    5. e

      Calculate and describe the mean, median, mode, and range of a set of dataMATH-DATA.3e

  • 4

    Apply and Generalize

    1. a

      Given a problem situation, collect, organize, display, and draw conclusions from the dataMATH-DATA.4a

    2. b

      Compile data to construct a simple graph and explain the dataMATH-DATA.4b

    3. c

      Use data to make hypotheses about the informationMATH-DATA.4c

    4. d

      Summarize data distributions on a graph or tableMATH-DATA.4d

    5. e

      Analyze data from a variety of graphs to answer questionsMATH-DATA.4e

    6. f

      Use calculations and descriptions of the mean, median, mode, and range of a set of data to solve real life problemsMATH-DATA.4f

Mathematical Reasoning - The student uses mathematical principles and reasoning to accomplish tasks. WRS: 16MATH-MR

  • 1

    Recognize and Recall

    1. a

      Count by twos, fives and tensMATH-MR.1a

    2. b

      Recognize wholes, halves, and one-quartersMATH-MR.1b

    3. c

      Discriminate between equal and unequal groups of objectsMATH-MR.1c

    4. d

      Sort like and unlike itemsMATH-MR.1d

    5. e

      Locate a number on a number lineMATH-MR.1e

    6. f

      Recognize the place value of a digit within a numberMATH-MR.1f

    7. g

      Identify numbers 1- 100 in numeralsMATH-MR.1g

    8. h

      Transpose numbers in written or typed format into a calculatorMATH-MR.1h

    9. i

      Transpose numbers in written or typed format into a software programsMATH-MR.1i

    10. j

      Recall, repeat and protect identifying numbers (i.e., phone number, parent’s phone number, address, and birthday)MATH-MR.1j

    11. k

      Recognize use of software programs for mathematical useMATH-MR.1k

  • 2

    Identify and Comprehend

    1. a

      Solve real world division problems with equal and unequal groups of countable objects. Numbers used in the problems should be within 1000 without remaindersMATH-MR.2a

    2. b

      Partition sets or groups into equal sharesMATH-MR.2b

    3. c

      Describe the shares using fraction languageMATH-MR.2c

    4. d

      Identify when two amounts have equivalent values, including whole and rational numbersMATH-MR.2d

    5. e

      Comprehends math directional words MATH-MR.2e

    6. f

      Recognize different types of patterns (shape, color, number)MATH-MR.2f

    7. g

      Classify different types of patterns (i.e., A, B, A; A, B, B, A.; A, B, C)MATH-MR.2g

    8. h

      Represent fractions as a number on a number line including mixed numbersMATH-MR.2h

    9. i

      Recognize and identify multiple representations of a numberMATH-MR.2i

    10. j

      Build whole numbers using multiple representationsMATH-MR.2j

    11. k

      Identify place value of decimalsMATH-MR.2k

    12. l

      Sequence 1-100MATH-MR.2l

    13. m

      Count to 100 with one-to-one correspondenceMATH-MR.2m

    14. n

      Use a variety of calculators to solve basic mathematical functionsMATH-MR.2n

    15. o

      Identify personal or descriptive variables in multiple number formats, (i.e., Birthday = July 19 or 7/19, it is May 15, 2016 or 5/15/2016 or 5/15/16, or Phone: (804)555- 5555 or 804-555-5555 or 555-5555)MATH-MR.2o

    16. p

      Define math vocabulary (i.e., more than, less than, solve, estimate)MATH-MR.2p

  • 3

    Interpret and Understand

    1. a

      Understand inverse operations MATH-MR.3a

    2. b

      Build decimals using multiple representationsMATH-MR.3b

    3. c

      Given a division problem, solve for the whole or a partMATH-MR.3c

    4. d

      Describe lengths on a number line using fractions MATH-MR.3d

    5. e

      Solve equivalence problems and determine if each person received an equal amountMATH-MR.3e

    6. f

      Identify the output when given the input and a given functionMATH-MR.3f

    7. g

      Interpret and extend patternsMATH-MR.3g

    8. h

      Compare two fractions (the fractions could be equivalent) by creating common denominators, or by comparing to a benchmark fraction (0, ½, 1, etc.)MATH-MR.3h

    9. i

      Compare values of numbers 1-100,000MATH-MR.3i

    10. j

      Add and subtract numbers between 1 and 100 MATH-MR.3j

    11. k

      Use a calculator to compute sums and differences when given mathematical problemsMATH-MR.3k

    12. l

      Use a software program to compute problems and order lists of numbersMATH-MR.3l

    13. m

      Identify what mathematical whole number skills and prerequisites are necessary to achieve post-secondary goals (i.e., community college, vocation)MATH-MR.3m

  • 4

    Apply and Generalize

    1. a

      Use whole numbers and decimals to solve multiplicative comparison problems that describe a proportion in a real world applicationMATH-MR.4a

    2. b

      Solve ratio problems in a real world application using fractions where the ratio describes a part-part relationshipMATH-MR.4b

    3. c

      Generate equivalent fractions, decimals, and percentagesMATH-MR.4c

    4. d

      Compare fractions, decimals, and percentages by using equivalencies or by comparing to a benchmarkMATH-MR.4d

    5. e

      Analyze the general form of a pattern and apply it/make predictions MATH-MR.4e

    6. f

      Demonstrate problem solving that includes part-whole and ordering relationshipsMATH-MR.4f

    7. g

      Solve real world problems using decimalsMATH-MR.4g

    8. h

      Recognize, order, and compare numbers through 100,000,000MATH-MR.4h

    9. i

      Multiply and divide whole numbers up to the thousandths placeMATH-MR.4i

    10. j

      Demonstrate understanding of how to use a calculator (which functions to choose) to solve mathematical problems requiring division and multiplicationMATH-MR.4j

    11. k

      Use a software program to analyze data MATH-MR.4k

    12. l

      Complete practice activities specific to postsecondary goals (i.e., Take the whole number math portions of practice tests for college entrance exams or word problems related to vocation)MATH-MR.4l

Geometric and Spatial Reasoning - The student uses geometric properties to solve real-world problems. WRS: 16MATH-GSR

  • 1

    Recognize and Recall

    1. a

      Sort 2-dimensional plane figures by a variety of basic properties (size, shape, angles, name)MATH-GSR.1a

    2. b

      Determine inside, outside, and edge of a given shape MATH-GSR.1b

    3. c

      Distinguish between a shorter or longer distanceMATH-GSR.1c

    4. d

      Recognize when two figures are congruent by matching congruent sides and/or anglesMATH-GSR.1d

  • 2

    Identify and Comprehend

    1. a

      Identify plane figures with more than four verticesMATH-GSR.2a

    2. b

      Find the area and perimeter of plane figuresMATH-GSR.2b

    3. c

      Compare the steepness of two or more linesMATH-GSR.2c

    4. d

      Compare distances, lengths, areas and volumes on comparable itemsMATH-GSR.2d

    5. e

      Find the midpoint of a given lineMATH-GSR.2e

    6. f

      Calculate slope (i.e., rise/run) by counting blocks on a coordinate plane MATH-GSR.2f

    7. g

      Identify the number of sides and angles on a plane figureMATH-GSR.2g

    8. h

      Identify the concept of middle for a variety of figuresMATH-GSR.2h

  • 3

    Interpret and Understand

    1. a

      Determine whether to use perimeter or area based on a given real life situationMATH-GSR.3a

    2. b

      Construct a variety of figures that have similar area or perimeterMATH-GSR.3b

    3. c

      Measure a given line to determine length/distance (i.e., scale on a map)MATH-GSR.3c

    4. d

      Interpret a given problem to determine whether to calculate slope, midpoint, and distanceMATH-GSR.3d

  • 4

    Apply and Generalize

    1. a

      Describe attributes of plane figures and apply those attributes to draw basic conclusions (i.e., I know this is a square so the angles must be 90°)MATH-GSR.4a

    2. b

      Apply formulas for perimeter and area of a given shape to solve for unknown real-world valuesMATH-GSR.4b

    3. c

      Find the slope, midpoint, and distance to solve real life problems in a variety of waysMATH-GSR.4c

    4. d

      Demonstrate understanding of spatial planning and reasoningMATH-GSR.4d

Measurement - The student uses different systems of measurement to solve real-world problems. WRS:16MATH-MEAS

  • 1

    Recognize and Recall

    1. a

      Determine how objects compare to one another based on length and height MATH-MEAS.1a

    2. b

      Recognize tools used to measure mass/weightMATH-MEAS.1b

    3. c

      Compare two items based on relative weightMATH-MEAS.1c

    4. d

      Compare which container can hold more or less of a given substanceMATH-MEAS.1d

    5. e

      Recognize tools used to measure temperatureMATH-MEAS.1e

    6. f

      Compare the relative temperature with the terms cold, warm, or hot MATH-MEAS.1f

    7. g

      Recognize multiple ways to measure various items or elements such as weight, height, volume, temperature, etc.MATH-MEAS.1g

    8. h

      Recognize tools used to measure liquid, solid, temperature and other physical attributes of objectsMATH-MEAS.1h

    9. i

      Recognize the type of measurement used by the designation of measurementMATH-MEAS.1i

    10. j

      Recognize approximate size of common items by type and amount of measurement usedMATH-MEAS.1j

    11. k

      Recognize equivalent measures MATH-MEAS.1k

  • 2

    Identify and Comprehend

    1. a

      Measure a given object using a ruler to the nearest half-unitMATH-MEAS.2a

    2. b

      Determine the weight of a given object or objects using a scaleMATH-MEAS.2b

    3. c

      Measure volume in containers through given unit (i.e., cups, pints, quarts, gallons)MATH-MEAS.2c

    4. d

      Using a thermometer, determine the temperature in Celsius and FahrenheitMATH-MEAS.2d

    5. e

      Identify smaller and larger units of measure in customary systemMATH-MEAS.2e

    6. f

      Identify smaller and larger units of measure in metric systemMATH-MEAS.2f

    7. g

      Identify the most appropriate unit of measurement to solve a problemMATH-MEAS.2g

    8. h

      Recognize that there are multiple ways to measure a given objectMATH-MEAS.2h

    9. i

      Read and comprehend measurement vocabulary and what symbols go with which measurement toolsMATH-MEAS.2i

    10. j

      Recognize freezing and boiling temperatures in both customary and metric systems MATH-MEAS.2j

  • 3

    Interpret and Understand

    1. a

      Determine length by drawing a non-scale model and utilizing basic operations to solve for length (i.e., length of a trip)MATH-MEAS.3a

    2. b

      Measure a given object to its exact lengthMATH-MEAS.3b

    3. c

      Estimate the weight of an object, then through measurement, compare and contrast the weights of two given objects MATH-MEAS.3c

    4. d

      Compare volume of two given figures MATH-MEAS.3d

    5. e

      Determine the implication of relative temperature values on daily life (i.e., it is 60° so long sleeves may be appropriate)MATH-MEAS.3e

    6. f

      Recognize equivalent measures within the standard measurement systemMATH-MEAS.3f

    7. g

      Apply knowledge of equivalent measures within the metric measurement systemMATH-MEAS.3g

  • 4

    Apply and Generalize

    1. a

      Apply various methods (i.e., distance formula) to determine the length of an unknown value without using a ruler.MATH-MEAS.4a

    2. b

      Through estimation, compare and contrast the weights of two given objectsMATH-MEAS.4b

    3. c

      Given a problem involving mass, predict the number of units required for an item of different magnitudeMATH-MEAS.4c

    4. d

      Determine the shape of a given real-world figure and then locate the correct formula to determine volume of the given figureMATH-MEAS.4d

    5. e

      Determine temperature change (including moving from negative to positive temperatures) in a given real world situationMATH-MEAS.4e

    6. f

      Convert various measures into other appropriate units of measurementMATH-MEAS.4f

    7. g

      Estimate appropriate measures between customary and metric measurement systemsMATH-MEAS.4g

Money Management - The student uses money appropriately to purchase goods and services, plan a personal budget, and make financial decisions.MATH-MONEY

  • 1

    Recognize and Recall

    1. a

      Recognize available forms of currency: cash, credit, debit, check bookMATH-MONEY.1a

    2. b

      Discriminate values of commonly used coins MATH-MONEY.1b

    3. c

      Discriminate between commonly used bills MATH-MONEY.1c

    4. d

      Arrange multiple representations of money values. (e.g., 25 cents = 25 pennies, or 2 dimes and a nickel)MATH-MONEY.1d

    5. e

      Recognize real or model ATM and credit cardsMATH-MONEY.1e

    6. f

      Pay for simple purchases using debit or credit cardMATH-MONEY.1f

    7. g

      Pay for purchases using next dollar strategyMATH-MONEY.1g

  • 2

    Identify and Comprehend

    1. a

      Identify value of commonly used coins and billsMATH-MONEY.2a

    2. b

      Find sums and differences of money with like units (all nickels, all dollar bills, etc.)MATH-MONEY.2b

    3. c

      Identify patterns associated with making change from whole number values (subtraction with regrouping)MATH-MONEY.2c

    4. d

      Counts a variety of combinations of coins and bills up to five dollarsMATH-MONEY.2d

    5. e

      Compares values of two or more products to identify which is more and less expensiveMATH-MONEY.2e

    6. f

      Pays for simple choice purchases independently in at least 3 different environmentsMATH-MONEY.2f

    7. g

      Understands association between ATM cards and credit cards and paymentMATH-MONEY.2g

  • 3

    Interpret and Understand

    1. a

      Find products and quotients of money with like units (all nickels, all dollar bills, etc.) MATH-MONEY.3a

    2. b

      Apply concepts for making change in the most efficient manner (i.e., using 2 quarters and 2 dimes as opposed to 70 penniesMATH-MONEY.3b

    3. c

      Investigate patterns for making change with mixed number values up to thousands of dollars (subtraction with re-grouping and division) MATH-MONEY.3c

    4. d

      Counts a variety of combinations of coins and bills up to fifty dollarsMATH-MONEY.3d

    5. e

      Counts and records values of coins and bills to find sum of money MATH-MONEY.3e

    6. f

      Makes change from given amount of moneyMATH-MONEY.3f

    7. g

      Use a calculator to compute sums and differences when given a word problem relating to money and purchase with an ATM and credit cardMATH-MONEY.3g

    8. h

      Use a software program to compute problems and order lists of valuesMATH-MONEY.3h

    9. i

      Use software template to populate values in a simple budgetMATH-MONEY.3i

    10. j

      Locate, select, and purchase necessary items such as food and/or personal care itemsMATH-MONEY.3j

    11. k

      Explain the steps for opening and maintaining a checking accountMATH-MONEY.3k

    12. l

      Stores and responsibly manages checks, cards and cashMATH-MONEY.3l

    13. m

      Explain the steps for opening and maintaining a savings accountMATH-MONEY.3m

    14. n

      Calculate tip/tax/discount using percentages (including percent of increase, percent of decrease)MATH-MONEY.3n

    15. o

      Calculate interest rates on loansMATH-MONEY.3o

  • 4

    Apply and Generalize

    1. a

      Find sums, differences, products, and quotients of money with mixed unitsMATH-MONEY.4a

    2. b

      Identify qualifications to obtain credit or bank accountMATH-MONEY.4b

    3. c

      Analyze credit card features and their impact on personal financial planningMATH-MONEY.4c

    4. d

      Compare and contrast terms and conditions of various sources of consumer creditMATH-MONEY.4d

    5. e

      Finds total from a list of items and services to adjust and prioritize spending based on available funds or estimated costs associated with independent living (grocery list, bills) MATH-MONEY.4e

    6. f

      Interpret and analyze interest rates on purchases made with a credit cardMATH-MONEY.4f

    7. g

      Interpret and analyze purchases made with ATM cards based on real or model banking account informationMATH-MONEY.4g

    8. h

      Express preferred method of payment for a variety of large and small purchases for needs and wantsMATH-MONEY.4h

    9. i

      Use online tools and banking to monitor account (e.g., personal checking and/or savings; returns/investments accounts)MATH-MONEY.4i

    10. j

      Comparison shops based on multiple factorsMATH-MONEY.4j

    11. k

      Explains benefits and costs of using a line of credit; Avoids opening multiple lines of creditMATH-MONEY.4k

Ratios and Proportions - The student uses proportions to solve real-world problems. WRS:16MATH-RATIO

  • 1

    Recognize and Recall

    1. a

      Compare numbers and determine which is greater or smallerMATH-RATIO.1a

    2. b

      Define percent as part of a whole, where the whole is 100MATH-RATIO.1b

  • 2

    Identify and Comprehend

    1. a

      Identify parts of a ratio MATH-RATIO.2a

    2. b

      Represent or model percentagesMATH-RATIO.2b

    3. c

      Compare and contrast percentages using modelsMATH-RATIO.2c

  • 3

    Interpret and Understand

    1. a

      Calculate, compare, and contrast unit rates (per mile, per ounce, per gallon, etc.). [The concept of per.]MATH-RATIO.3a

    2. b

      Solve rate division problems involving constant speed and pricing. Numbers used in the problems should include whole numbers and decimalsMATH-RATIO.3b

    3. c

      Calculate the percent of a number (tip, tax, interest, discount, etc.)MATH-RATIO.3c

    4. d

      Determine the total amount based on tip, tax, interest, discount, etc.MATH-RATIO.3d

  • 4

    Apply and Generalize 

    1. a

      Explore the multiplicative relationships between the parts of a ratio to make predictions (e.g., if x/y = ¼ then y = 4x; if it takes x minutes to do this one task how long will it take to do 20 tasks)MATH-RATIO.4a

    2. b

      Determine the percent increase and the percent decrease MATH-RATIO.4b

    3. c

      Apply and construct concepts of percentage to graphical representationsMATH-RATIO.4c

    4. d

      Construct circle graphs using percentage dataMATH-RATIO.4d

    5. e

      Estimate total costs of purchases, taxes and/or tipsMATH-RATIO.4e

Frequently asked questions

What grade levels do these standards cover?
Grade 9, Grade 10, Grade 11, and Grade 12
Where can I read the official document?
Applied Studies Curriculum MAP

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