Core Content Connectors by Common Core State Standards: Mathematics Geometry

Operations and Algebraic Thinking	1.OA
Represent and solve problems involving addition and subtraction.
# Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem.
CCCs linked to 1.OA.1	1.NO.2a9 Use manipulatives or representations to write simple addition or subtraction equations within 20 based upon a word problem.
	1.NO.2a10 Use data presented in graphs (i.e., pictorial, object) to solve one step "how many more" or "how many less" word problems.
	1.NO.2a11 Solve word problems within 20.
	1.PRF.1b3 Using objects or pictures respond appropriately to "add __" and "take away ___".
	1.PRF.1c2 Solve one step addition and subtraction word problems where the change or result is unknown (4+_= 7) or (4 + 3 = __), within 20 using objects, drawings, pictures.
	2.NO.2a15 Remove objects from a set in a subtraction situation to find the amount remaining up to a minimum of 20.
# Solve word problems that call for addition of three whole numbers whose sum is less than or equal to 20, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem.
CCCs linked to 1.OA.2	1.NO.2a11 Solve word problems within 20.
Understand and apply properties of operations and the relationship between addition and subtraction.
# Apply properties of operations as strategies to add and subtract. Examples: If 8 + 3 = 11 is known, then 3 + 8 = 11 is also known. (Commutative property of addition.) To add 2 + 6 + 4, the second two numbers can be added to make a ten, so 2 + 6 + 4 = 2 + 10 = 12. (Associative property of addition.)
CCCs linked to 1.OA.3	1.NO.1i2 Recognize zero as an additive identity.
	2.NO.2b1 Use commutative properties to solve addition problems with sums up to 20 (e.g., 3 + 8 = 11 therefore 8 + 3 =__).
	2.NO.2b2 Use associative property to solve addition problems with sums up to 20.
# Understand subtraction as an unknown-addend problem. For example, subtract 10 – 8 by finding the number that makes 10 when added to 8.
CCCs linked to 1.0A.4	2.NO.2a15 Remove objects from a set in a subtraction situation to find the amount remaining up to a minuend of 20.
Add and subtract within 20.
# Relate counting to addition and subtraction (e.g., by counting on 2 to add 2).
CCCs linked to 1.0A.5	1.NO.2a8 Decompose a set of up to 20 objects into a group; count the quantity in each group.
	1.NO.2a6 Count 2 sets to find sums up to 20.
# Add and subtract within 20, demonstrating fluency for addition and subtraction within 10. Use strategies such as counting on; making ten (e.g., 8 + 6 = 8 + 2 + 4 = 10 + 4 = 14); decomposing a number leading to a ten (e.g., 13 – 4 = 13 – 3 – 1 = 10 – 1 = 9); using the relationship between addition and subtraction (e.g., knowing that 8 + 4 = 12, one knows 12 – 8 = 4); and creating equivalent but easier or known sums (e.g., adding 6 + 7 by creating the known equivalent 6 + 6 + 1 = 12 + 1 = 13).
CCCs linked to 1.0A.6	1.NO.2a6 Count 2 sets to find sums up to 20.
	1.NO.2a8 Decompose a set of up to 20 objects into a group; count the quantity in each group.
'Work with addition and subtraction equations. '
# Understand the meaning of the equal sign, and determine if equations involving addition and subtraction are true or false. For example, which of the following equations are true and which are false? 6 = 6, 7 = 8 – 1, 5 + 2 = 2 + 5, 4 + 1 = 5 + 2.
CCCs linked to 1.0A.7	1.NO.2c1 Identify and apply addition and equal signs.
	2.SE.1c2 Label simple equations as = or with the phrase not equal.
	2.NO.2c2 Identify and apply addition, subtraction, and equal signs.
# Determine the unknown whole number in an addition or subtraction equation relating to three whole numbers. For example, determine the unknown number that makes the equation true in each of the equations 8 + ? = 11, 5 = _ – 3, 6 + 6 = _.
'CCCs linked to 1.0A.8'	2.SE.1d2 Represent a "taking away" situation with the – symbol.