Look for and make use of structure on the addition chart by looking for and coloring problems with the same total.

EngageNY 60 min(s)

In this lesson, students continue exploring patterns among familiar facts on the addition chart. They examine patterns in expressions where the totals are the same. For example, given the sequence 5 + 5, 4 + 6, 3 + 7, 2 + 8, and 9 + 1, which forms a "staircase" on the addition chart, they notice that the total is 10 each time. Moreover, there are other staircases on the addition chart containing expressions that share the same total.

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1 Content Standard is aligned with this lesson

1.OA.C.6

Major StandardsSupporting StandardsAdditional Standards

Standard 1.OA.C.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).

Part of Major Cluster 1.OA.C

1 Math Practice Standard is aligned with this lesson

Standard MP.7

Look for and make use of structure.

Prerequisites for 1.OA.C.6

Kindergarten

K.OA.A.2

Solve addition and subtraction word problems, and add and subtract within 10, e.g., by using objects or drawings to represent the problem.

K.OA.A.3

Decompose numbers less than or equal to 10 into pairs in more than one way, e.g., by using objects or drawings, and record each decomposition by a drawing or equation (e.g., 5 = 2 + 3 and 5 = 4 + 1).

K.OA.A.4

For any number from 1 to 9, find the number that makes 10 when added to the given number, e.g., by using objects or drawings, and record the answer with a drawing or equation.

K.OA.A.5

Fluently add and subtract within 5.

1st Grade

1.OA.B.3

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.)

1.OA.B.4

Understand subtraction as an unknown-addend problem. For example, subtract 10 - 8 by finding the number that makes 10 when added to 8.

1.OA.C.5

Relate counting to addition and subtraction (e.g., by counting on 2 to add 2).

Upcoming Standards for 1.OA.C.6

1st Grade

1.NBT.C.4

Add within 100, including adding a two-digit number and a one-digit number, and adding a two-digit number and a multiple of 10, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. Understand that in adding two-digit numbers, one adds tens and tens, ones and ones; and sometimes it is necessary to compose a ten.

2nd Grade

2.OA.B.2

Fluently add and subtract within 20 using mental strategies (See standard 1.OA.6 for a list of mental strategies). By end of Grade 2, know from memory all sums of two one-digit numbers.