Topic Twelve Decomposing Numbers 11 to 19

Pacing (Duration of Unit):

Desired Results

Transfer:
1. Makes sense of problems and persevere in solving them.
2. Reason abstractly and quantitatively.
3. Construct viable arguments and critique the reasoning of others.
4. Model with mathematics.
5. Use appropriate tools strategically.
6. Attend to precision.
7. Look for and make use of structure.
8. Look for and express regularity in repeated reasoning.
Established Goals:

  • K.NBT.1 Compose and decompose numbers from 11 to 19 into ten ones and some further ones, e.g., by using objects or drawings, and record each composition or decomposition by a drawing or equation (e.g., 18 = 10 + 8); understand that these numbers are composed of ten ones and one, two, three, four, five, six, seven, eight, or nine ones.

Student "I Can" Statements:

  • I can put together and take apart numbers from 11 to 1?9 by naming the tens and ones.
  • I can use objects, drawings or equations to show tens and ones.

Prerequisite Standards:
  • K.NBT.1 Compose and decompose numbers from 11 to 19 into ten ones and some further ones, e.g., by using objects or drawings, and record each composition or decomposition by a drawing or equation (e.g., 18 = 10 + 8); understand that these numbers are composed of ten ones and one, two, three, four, five, six, seven, eight, or nine ones.
  • K.OA.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).
Big Ideas:

Number Uses, Classification, and Representation
Numbers can be used for different purposes, and numbers can be classified and represented in different ways.

Practices, Processes, and Proficiencies
Mathematics content and practices can be applied to solve problems.
Essential Questions:


  • How can we break the numbers 11-19 into parts?
Students will know...

There is more than one way to show a number.
The numbers 11, 12, and 13 can be decomposed as the sum of ten and some ones. The number 11 is decomposed to 10 +1, the number 12 is decomposed 10 + 2, and the number 13 is decomposed to 10 + 3.
Teen numbers can be decomposed as the sum of ten and some ones. The number 14 is decomposed to 10 + 4, the number 15 is decomposed 10 + 5, and the number 16 is decomposed to 10 + 6.
Number sentences can be written to represent the decomposition of 17, 18, and 19 as the sum of 10 and 7, 8, or 9 additional ones.
Some problems can be solved by identifying elements that repeat in a predictable way.

Vocabulary:

double ten-frame set
Students will be skilled at...

  • Using objects to create sets to 19.
  • Representing the decomposition of 11, 12, and 13 as ten ones and additional ones.
  • Representing the decomposition of 14, 15, and 16 as one ten and four, five, or six ones.
  • Making drawings and writing number sentences that represent the decomposition of 17, 18, and 19 into ten and 7, 8, or 9 ones.
  • Identifying patterns found in decomposing the teen numbers, including the constant of one ten and the variable number of ones. They will make drawings and write number sentences for numbers 11 to 19.

Assessment Evidence

Performance Assessment:
Other Evidence:

Learning Plan

Learning Activities:

11-1 There is more than one way to show a number.
11-2 The numbers 11, 12, and 13 can be decomposed as the sum of ten and some ones. The number 11 is decomposed to 10 +1, the number 12 is decomposed 10 + 2, and the number 13 is decomposed to 10 + 3.
11-3 Teen numbers can be decomposed as the sum of ten and some ones. The number 14 is decomposed to 10 + 4, the number 15 is decomposed 10 + 5, and the number 16 is decomposed to 10 + 6.
11-4 Number sentences can be written to represent the decomposition of 17, 18, and 19 as the sum of 10 and 7, 8, or 9 additional ones.
11-5 Some problems can be solved by identifying elements that repeat in a predictable way.
Resources: