Math Common Core



NBTNumbers + Operations in Base Ten
SPStatistics + Probability
EEExpressions + Equations
NSThe Number System
MPMathematical Practices
RPRatios + Proportional Relationships
MDMeasurement + Data
NFNumbers + Operations — Fractions
QAOperations + Algebraic Thinking

English Language Arts Common Core



RFReading: Foundational Skills
RLReading: Literature
RIReading: Informational Text
SLSpeaking + Listening
RHReading Literacy in History/Social Studies (Reading Informational Text)
WHSTWriting Literacy in History/Social Studies/Science/Technical Subjects (Writing)
RSTReading Literacy in Science + Technical Subjects: Reading Informational Text

Math Common Core

KindergartenCountingCount to 100 by ones and by tens.NBTNSMP
Count forward beginning from a given number (instead of having to begin at 1).NBTNS
Write numbers from 0 to 20.NBTNS
Represent a number of objects with a given numeral (0 represents no objects).MP
Count to tell the number of objects.MP
Nature of MathematicsRepresent and describe numbers 2 to 10, in two parts.MP
Understanding Addition & Subtraction using objects.MP
Working with higher numbers (e.g., 18 = 10 + 8).MP
Shape and SpaceDescribing length & weight.MP
Describe Shapes (Squares, Circles, Triangles, Rectangles, Hexagons, Cubes, Cones, Cylinders, and Spheres).G

Grade 1Easy CalculationCount forward between any two given numbers.NBTNSMP
Count backward from 20 to 0.NBTNS
Count 5s forward from 0 to 100.NBTNS
Mathematics FoundationDemonstrate and explain the effect of adding zero to, or subtracting zero from, any number.MP
Describe and use mental mathematics strategies (Addition & Subtraction).MP
Describe equalities, using the equal symbol.MP
Describe equality as a balance and inequality as an imbalance.MP
Patterns and RelationsSort objects, using one attribute, and explain the sorting rule.G
Sort 3D objects and 2D shapes, using its attributes, and explain the sorting rule.G
Compare 2D shapes to parts of 3D objects in the environment.G
Grade 2General ArithmeticAddition and Subtraction of any two digit numbers.MPNSMP
Multiplication tables from 1 to 10.MPNS
Demonstrate a number is even or odd (up to 100).MPNS
MeasurementRelate the number of days to a week and the number of months to a year in a problem-solving context.MD
Describe length and mass and explain its unit and calculation.MD
Compare and order objects by length, height, distance around and mass, using nonstandard units, and make statements of comparison.MD
Constructing ShapesDemonstrate that changing the orientation of an object does not alter the measurements of its attributes.G

Describe, compare and construct 2D shapes, including: triangles, squares, rectangles, circles.G

Describe, compare and construct 3D objects, including: cubes, spheres, cones, cylinders, pyramids.G

Grade 3Algebraic ThinkingFluently add and subtract within 1000.OANSMP
Understanding of the meanings of multiplication and division.OANSMP
Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, (eg., 347.392 = 3 × 100 + 4 × 10 + 7 × 1 + 3 × (1/10) + 9 × (1/100) + 2 × (1/1000)).OANS
OperationsMultiply one-digit whole numbers by multiples of 10 in the range 10-90.NFNSMP
Understanding of fractions on a number line diagram by defining the interval from 0 to 10.NF

Compare two fractions with the same numerator or the same denominator by reasoning about their size.NF

Representing numbers equal to, less than, and greater than one.NFEE
Basic GeometryMeasuring area for 2D shapes including: triangles, squares, rectangles, circles.GMD
Calculating area of triangles, squares, rectangles, circles.G

Partition of shapes into parts with equal areas.G
Grade 4Multiplication & ComparisionDescribing multiplication equation as a comparison (eg., 35=5*7).EE
Gain familiarity with factors and multiples.EE
Understanding of place value to 1,000,000NSMP
Understanding of fraction equivalence and operations with fractions (eg., 15/9 = 5/3).NF
ConversionMeasurement and conversion of measurements including km, m, cm; kg, g; lb, oz.; l, ml; hr, min, sec.MD
Angle DeterminationMeasure angles in whole-number degrees using a protractor.MD
Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines.G
Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines.G
Identify line-symmetric figures and draw lines of symmetry.G
Grade 5Interesting CalculationsAdd and subtract fractions with unlike denominatorsNS
Understandings of multiplication to multiply a fraction or whole number by a fraction.NS
Finalize fluency with multi-digit addition, subtraction, multiplication, and division (with fractions also).EENS
Basic ExpressionsUsing parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.EEF
Volume EstimationUnderstanding concepts of volume measurement.MD
Measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units.MD
Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume.MP
Knowing Coordinate PlaneGraph points on the coordinate plane to solve real-world and mathematical problems.MP
Grade 6Ratio & ExpressionsUnderstanding the concept of a ratio and use ratio language to describe a ratio relationship between two quantities.RP
Write, read, and evaluate expressions in which letters stand for numbers (eg., y + y + y = 3y)EE
Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all nonnegative rational numbers.EEF
Write an inequality of the form x > c or x < c to represent a constraint or condition in a real-world or mathematical problemEENF
3D CalculationsFind the volume of a right rectangular prism with fractional edge lengthsMD
Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate.MD
Knowing StatisticsRecognizing a statistical question. (eg., How old am I?" is not a statistical question, but "How old are the students in my school?" is a statistical question)MP
Measuring of center (median and/or mean) and variability (interquartile range and/or mean absolute deviation)MD
Grade 7Ratio in Real WorldCompute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. RP

Understanding of ratios and proportionality to solve a wide variety of percent problems, including those involving discounts, interest, taxes, tips, and percent increase or decrease.RP

Advanced ArithmeticExplain and interpret the rules for adding, subtracting, multiplying, and dividing with negative numbers.F

Convert a rational number to a decimal using long divisionNF

Introduction of πSolving problems involving the area and circumference of a circle and surface area of three-dimensional objects.MP

Basic Probability & SamplingUnderstand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring. MP

Comparing two data distributions and address questions about differences between populations.MD

Develop a probability model and use it to find probabilities of events.MD

Grade 8Roots and CubesUsing square root and cube root symbols and evaluate square roots of small perfect squares and cube roots of small perfect cubes.F

Introducing Linear EquationsAnalyzing linear equations and solve a variety of problemsEE

Solve pairs of simultaneous linear equations.EE

FunctionsDefine, evaluate, and compare functions.FRP
Use functions to model relationships between quantities.F

Introducing Pythagorean TheoremUnderstand and apply the Pythagorean Theorem.MP

Solve real-world and mathematical problems involving volume of cylinders, cones, and spheres.MPMD
Basic StatisticsInvestigate patterns of association in bivariate data.MDMP