Common Core Learning Standards s5

Common Core Learning Standards

GRADE 1 Mathematics

OPERATIONS & ALGEBRAIC THINKING

Common Core Learning Standards / Concepts / Embedded Skills / Vocabulary
Represent and solve problems involving addition and subtraction. / Addition & Subtraction / Solve addition and subtraction word problems within 20 / § Add (+)
§ Addend
§ Sum
§ Equal (=)
§ Difference
§ Subtract (-)
§ Part
§ Whole
§ Altogether
§ Unknown
§ Symbol
§ Equation
§ Solve
§ Represent
§ Compare
Read addition and subtraction word problems to select the operation needed for solving
1. OA.1.
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 problem2.
2See Glossary for Common Addition & Subtraction Situations with Unknowns / Draw visual representations of addition and subtraction word problems within 20
Manipulate object to explain what operations is needed to solve addition and subtraction word problems within 20
Write an addition or subtraction equation to match a word problem
Explain the meaning of the symbols in an addition and subtraction equation
Read an equation (number sentence), using the term ‘plus’ for (+), ‘minus’ for (-) and ‘equals’ for (=)
Create word problem (number stories) that match a given number sentence
Solve a word problem for an unknown in all positions of addition and subtraction equations (by writing an equation with a symbol for the unknown)2
RIGOROUS SAMPLE TASKS / SCAFFOLDED SAMPLE TASKS
Common Core Learning Standards / Concepts / Embedded Skills / Vocabulary
Represent and solve problems involving addition and subtraction. / Addition / Solve addition word problems with three addends, for sums up to 20. / § Add (+)
§ Addend
§ Sum
§ Equal
§ Part
§ Whole
§ Altogether
§ Unknown
§ Symbol
§ Equation
§ Solve
§ Represent
Read addition word problems to select the operation needed for solving
1. OA.2.
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. / Draw visual representations of addition word problems three addends, for sums up to 20
Manipulate objects to explain what operations is needed to solve addition word problems with three addends, for sums up to 20
Write an addition equation to match a word problem
Explain the meaning of the symbols in an addition equation
Read an addition equation (number sentence), using the term ‘plus’ for (+) and ‘equals’ for (=)
Create word problem (number stories) that match a given addition equation with three addends
Solve a word problem for an unknown in all positions of an addition equations (by writing an equation with a symbol for the unknown)
RIGOROUS SAMPLE TASKS / SCAFFOLDED SAMPLE TASKS
Common Core Learning Standards / Concepts / Embedded Skills / Vocabulary
Understand and apply properties of operations and the relationship between addition and subtraction. / Properties / Explain or show the commutative property of addition (by switching the addends to get the same sum) / § Addend(s)
§ Sum
§ Difference
§ Commutative Property
§ Associative Property
§ Symbol
§ Equation
§ Relationship
Explain or show the associative property of addition with three addends (by grouping any two addends then adding the third to get the same sum)
1. OA.3.
Apply properties of operations as strategies to add and subtract.3 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.)
3Students need not use formal terms for these properties / Explain the meaning of the symbols in an addition equation
Read an addition equation (number sentence), using the term ‘plus’ for (+) and ‘equals’ for (=)
Create different addition equations for the same sum
Add and subtract, using properties of operations
RIGOROUS SAMPLE TASKS / SCAFFOLDED SAMPLE TASKS
Common Core Learning Standards / Concepts / Embedded Skills / Vocabulary
Understand and apply properties of operations and the relationship between addition and subtraction. / Properties / Describe addition and subtraction relationships / § Addend
§ Unknown
§ Equation
§ Fact family
§ Addition
§ Subtraction
§ Related fact
§ Solve
§ Property
Write a fact family given 3 different numbers and explain how they are related
1. OA.4.
Understand subtraction as an unknown-addend problem. For example, subtract 10 – 8 by finding the number that make 10 when added to 8. Add and subtract within 20. / Read an equation (number sentence), using the term ‘plus’ for (+), ‘minus’ for (-) and ‘equals’ for (=)
Solve for an unknown addend using subtraction
RIGOROUS SAMPLE TASKS / SCAFFOLDED SAMPLE TASKS
Common Core Learning Standards / Concepts / Embedded Skills / Vocabulary
Add and Subtract within 20. / Addition & Subtraction / Add within 20 using counting or counting on to solve / § Add
§ Subtract
§ Sum
§ Difference
§ Count on
§ Count back
§ Solve
§ Equation
§ Relate
Subtract within 20 using count back or counting on (addition) to solve
1. OA.5.
Relate counting to addition and subtraction (e.g., by counting on 2 to add 2). / Explain the effect of addition and subtraction (subtraction will result in a smaller number & addition will result in a larger number)
Read an equation (number sentence), using the term ‘plus’ for (+), ‘minus’ for (-) and ‘equals’ for (=)
Write an addition or subtraction equation
Add and subtract using number patterns (skip counting, doubles)
RIGOROUS SAMPLE TASKS / SCAFFOLDED SAMPLE TASKS
Common Core Learning Standards / Concepts / Embedded Skills / Vocabulary
Add and Subtract within 20. / Addition & Subtraction / Add and subtract fluently within 10 (with quick recall and without any visual aids) / § Count on
§ Count back
§ Add
§ Subtract
§ Double
§ Group of 5
§ Group of 10
§ Related fact
§ Equivalent
§ Decompose
Show and explain related addition and subtraction facts
1. OA.6.
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). / Create a known fact to help with another fact (i.e. composing a five, composing a ten, doubles, etc.)
Explain addition and subtraction strategies used
RIGOROUS SAMPLE TASKS / SCAFFOLDED SAMPLE TASKS
Common Core Learning Standards / Concepts / Embedded Skills / Vocabulary
Work with addition and subtraction equations. / Addition & Subtraction / Explain the meaning of the symbols in an addition and subtraction equation / § True
§ False
§ Equation
§ Equal
§ Balanced
§ Addition
§ Subtraction
Read an equation (number sentence), using the term ‘plus’ for (+), ‘minus’ for (-) and ‘equals’ for (=)
1. OA.7.
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. / Evaluate an equation for a given value
(Example: 3 + ⃝ = 8. Is this equation true if ⃝=6? Why or why not?)
Manipulate objects, draw pictures or balance a scale to prove an equation (number sentence) true or false for different values.
RIGOROUS SAMPLE TASKS / SCAFFOLDED SAMPLE TASKS
Common Core Learning Standards / Concepts / Embedded Skills / Vocabulary
Work with addition and subtraction equations. / Addition & Subtraction / Explain the meaning of the symbols in an addition and subtraction equation / § True
§ False
§ Equation
§ Equal
§ Balanced
§ Addition
§ Subtraction
§ Whole
§ Part
Read an equation (number sentence), using the term ‘plus’ for (+), ‘minus’ for (-) and ‘equals’ for (=)
1. OA.8.
Determine the unknown whole number in an addition or subtraction equation relating 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 = _. / Calculate the missing value in a given equation.
(Example: 3 + ⃝ = 8. What value of ⃝ will make this equation true?)
Manipulate objects, draw pictures or balance a scale to prove an equation (number sentence) true for a value found.
RIGOROUS SAMPLE TASKS / SCAFFOLDED SAMPLE TASKS