Math Common Core

Grade NBT SP G F EE NS MP RP MD NF QA
K
1
2
3
4
5
6
7
8

Key

NBT Numbers + Operations in Base Ten
SP Statistics + Probability
G Geometry
F Functions
EE Expressions + Equations
NS The Number System
MP Mathematical Practices
RP Ratios + Proportional Relationships
MD Measurement + Data
NF Numbers + Operations — Fractions
QA Operations + Algebraic Thinking

English Language Arts Common Core

Grade RF RL RI W L SL RH WHST RST
2
3
4
5
6
7
8

Key

RF Reading: Foundational Skills
RL Reading: Literature
RI Reading: Informational Text
W Writing
L Language
SL Speaking + Listening
RH Reading Literacy in History/Social Studies (Reading Informational Text)
WHST Writing Literacy in History/Social Studies/Science/Technical Subjects (Writing)
RST Reading Literacy in Science + Technical Subjects: Reading Informational Text

Math Common Core

Grades Clusters Description Domain
Kindergarten Counting Count to 100 by ones and by tens. NBT NS MP
Count forward beginning from a given number (instead of having to begin at 1). NBT NS
Write numbers from 0 to 20. NBT NS
Represent a number of objects with a given numeral (0 represents no objects). MP
Count to tell the number of objects. MP
Nature of Mathematics Represent 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 Space Describing length & weight. MP
Describe Shapes (Squares, Circles, Triangles, Rectangles, Hexagons, Cubes, Cones, Cylinders, and Spheres). G

Grade 1 Easy Calculation Count forward between any two given numbers. NBT NS MP
Count backward from 20 to 0. NBT NS
Count 5s forward from 0 to 100. NBT NS
Mathematics Foundation Demonstrate 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 Relations Sort 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 2 General Arithmetic Addition and Subtraction of any two digit numbers. MP NS MP
Multiplication tables from 1 to 10. MP NS
Demonstrate a number is even or odd (up to 100). MP NS
Measurement Relate 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 Shapes Demonstrate 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 3 Algebraic Thinking Fluently add and subtract within 1000. OA NS MP
Understanding of the meanings of multiplication and division. OA NS MP
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)). OA NS
Operations Multiply one-digit whole numbers by multiples of 10 in the range 10-90. NF NS MP
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. NF EE
Basic Geometry Measuring area for 2D shapes including: triangles, squares, rectangles, circles. G MD
Calculating area of triangles, squares, rectangles, circles. G

Partition of shapes into parts with equal areas. G
MP
Grade 4 Multiplication & Comparision Describing multiplication equation as a comparison (eg., 35=5*7). EE
Gain familiarity with factors and multiples. EE
Understanding of place value to 1,000,000 NS MP
Understanding of fraction equivalence and operations with fractions (eg., 15/9 = 5/3). NF
Conversion Measurement and conversion of measurements including km, m, cm; kg, g; lb, oz.; l, ml; hr, min, sec. MD
Angle Determination Measure 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 5 Interesting Calculations Add and subtract fractions with unlike denominators NS
MP
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). EE NS
Basic Expressions Using parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols. EE F
Volume Estimation Understanding 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 Plane Graph points on the coordinate plane to solve real-world and mathematical problems. MP
Grade 6 Ratio & Expressions Understanding the concept of a ratio and use ratio language to describe a ratio relationship between two quantities. RP
MP
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. EE F
Write an inequality of the form x > c or x < c to represent a constraint or condition in a real-world or mathematical problem EE NF
3D Calculations Find the volume of a right rectangular prism with fractional edge lengths MD
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 Statistics Recognizing 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 7 Ratio in Real World Compute 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 Arithmetic Explain and interpret the rules for adding, subtracting, multiplying, and dividing with negative numbers. F

Convert a rational number to a decimal using long division NF

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

Basic Probability & Sampling Understand 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 8 Roots and Cubes Using square root and cube root symbols and evaluate square roots of small perfect squares and cube roots of small perfect cubes. F

Introducing Linear Equations Analyzing linear equations and solve a variety of problems EE

Solve pairs of simultaneous linear equations. EE

Functions Define, evaluate, and compare functions. F RP
Use functions to model relationships between quantities. F

Introducing Pythagorean Theorem Understand and apply the Pythagorean Theorem. MP

Solve real-world and mathematical problems involving volume of cylinders, cones, and spheres. MP MD
Basic Statistics Investigate patterns of association in bivariate data. MD MP