MA.K.NSO.2.2

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Represent whole numbers from 10 to 20, using a unit of ten and a group of ones, with objects, drawings and expressions or equations.

Examples

The number 13 can be represented as the verbal expression “ten ones and three ones” or as “1 ten and 3 ones”.
General Information
Subject Area: Mathematics (B.E.S.T.)
Grade: K
Strand: Number Sense and Operations
Standard: Recite number names sequentially within 100 and develop an understanding for place value.
Date Adopted or Revised: 08/20
Status: State Board Approved

Benchmark Instructional Guide

Connecting Benchmarks/Horizontal Alignment

 

Terms from the K-12 Glossary

  • Equation 
  • Expression

 

Vertical Alignment

Previous Benchmarks

 

Next Benchmarks

 

 

Purpose and Instructional Strategies

The purpose of this benchmark is to help students build the foundation of place value. By decomposing and viewing a number as its 10s and 1s students can begin to use strategies for adding and subtracting in later benchmarks and grade levels as the scale increases. 
  • Instruction helps students develop the meaning of numbers beyond the conventional names. 
  • Instruction focuses on multiple ways to represent numbers (MTR.2.1). 
  • Instructions build the foundation for expanded form and decomposing numbers, which can be used as a strategy for operations later (MTR.5.1).

 

Common Misconceptions or Errors

  • Students may attach too much meaning to certain number names. Example: sixteen linguistically makes sense as six and teen, or six and ten; while eleven and twelve do not have linguistic cues. 
  • Students may think there is only one way to represent numbers with tens and ones.

 

Strategies to Support Tiered Instruction

  • Teacher provides opportunities to count collections of objects that contain sets with quantities between 11 and 20, using one ten frame to isolate the idea that the quantity contains “ten and some more.” 
    • For example, students can count the objects that are placed in the ten frame with a “count on” strategy, “10...11, 12, 13, 14.” Using a ten frame reinforces the idea that 10 is a benchmark number and that “10 and more” can be counted additively (10+1+1+1+1) rather than by single units. Students can communicate their thinking by drawing representations of their counts and explaining each drawing. Instruction should emphasize that the “1” in teen numbers means “10,” and language support can include students rephrasing teen number words, for example, “16 is the same as 10 and 6.”

 

Instructional Tasks

Instructional Task 1(MTR.1.1, MTR.4.1) 

Materials: Counters and ten frames 
Task: Give students two ten frames and a number of counters between 11 and 19. Students will fill a 10 frame, and fill the second with the left over counters. Have students record the number of tens and ones like the example below. This task can be done in a small group, providing opportunities for discussion and collaboration. 

 

The purpose of this task is to provide students with the opportunity to discover rather than to provide them with a system or rule. Allow explorations with various addends and sums, drawing comparisons and conclusions through discussion.

 

Instructional Items

Instructional Item 1 

Given the following, fill in the blanks. For the first two, have students provide a different way to fill in the blanks. Students should give more than one answer when possible. 

 

16 is the same as ___ ten(s) and __ ones. 
12 is the same is __ ones and __ ten(s). 
__ is the same as 1 ten and 5 ones. 
__ is the same as 9 ones and 1 ten. 
5 is the same as __ ten(s) and __ ones.


*The strategies, tasks and items included in the B1G-M are examples and should not be considered comprehensive.

 

Related Courses

This benchmark is part of these courses.
5012020: Grade Kindergarten Mathematics (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 - 2024, 2024 and beyond (current))
7712015: Access Mathematics - Grade Kindergarten (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2022, 2022 and beyond (current))
5012005: Foundational Skills in Mathematics K-2 (Specifically in versions: 2019 - 2022, 2022 - 2024, 2024 and beyond (current))

Related Access Points

Alternate version of this benchmark for students with significant cognitive disabilities.
MA.K.NSO.2.AP.2: Represent whole numbers from 10 to 19, using one group of 10 ones and some further ones, with objects, drawings or verbalization.

Related Resources

Vetted resources educators can use to teach the concepts and skills in this benchmark.

Formative Assessments

Ten Ones and Some Other Ones:

Students use cubes to make a set of 10 ones and other ones to represent the number 17 and then write an equation or draw a picture that reflects this decomposition.

Type: Formative Assessment

Make Tens and Ones:

Students use a ten frame to decompose 12 into tens and ones.

Type: Formative Assessment

Decomposing 15:

Students are asked to break 15 into a group of 10 and some further ones.

Type: Formative Assessment

Composing 13:

Students are asked to compose 13 by using a group of 10 and some other ones.

Type: Formative Assessment

Lesson Plans

How many MORE ones than ten?:

Students will review the procedure for using a ten-frame. Students will be introduced to the important foundational concept for place value that numbers 10-20 can be represented as a unit of tens and a group of ones. Students will practice subitizing skills (the ability to "instantly see how many") using a ten-frame and counters.

Type: Lesson Plan

Working with Teen Numbers:

This lesson uses manipulatives, drawings, expressions and equations to provide understanding of the composition of teen numbers as a unit of ten and a group of ones.

Type: Lesson Plan

X-Ray Superpower:

With the teacher's modeling, students will be able to understand that teen numbers are made up of a unit of ten and some more ones.

Type: Lesson Plan

Fireflies - Numbers 11-19:

In this lesson, students will manipulate beans (fireflies) to represent numbers 11-19 as a unit of ten and a group of ones.

Type: Lesson Plan

Ten is a Friend!:

Students will learn about the concept of ones and tens and how 10 is a friendly number that we can utilize in various ways in mathematics. They will physically manipulate snap cubes to make a ten train and add on randomly selected ones that will include the numbers 11-19. After that students will draw representations of the numbers 11-19 and finally write the two-digit number that a ten train and a selected group of ones will create.

Type: Lesson Plan

Decompose That Teen Number!:

The students will receive explicit instruction from the teacher on the definition of decomposing a number and how to represent a decomposition with manipulatives, drawings, and equations. The students will use linking cubes to reflect numbers from 11-19, and to show their understanding of how to decompose a number. Students will record decompositions as an equation.

Type: Lesson Plan

Ten and Some More (Exploring Numbers 11-20):

In this lesson, students will represent numbers 11-19 using a unit of ten and a group of ones using objects. As an optional extension task, students will be challenged to use their knowledge of numbers 11-20 represented as a unit of ten and a group of ones to complete posters in a mock real-world situation involving free tickets.

Type: Lesson Plan

Tutorials

Monkeys for a party:

In this tutorial video from Khan Academy, explore place value relationships with tens and ones within 20.

Type: Tutorial

Teens as sums with 10:

In this tutorial video from Khan Academy, place value patterns are explored in "teen" numbers.

Type: Tutorial

MFAS Formative Assessments

Composing 13:

Students are asked to compose 13 by using a group of 10 and some other ones.

Decomposing 15:

Students are asked to break 15 into a group of 10 and some further ones.

Make Tens and Ones:

Students use a ten frame to decompose 12 into tens and ones.

Ten Ones and Some Other Ones:

Students use cubes to make a set of 10 ones and other ones to represent the number 17 and then write an equation or draw a picture that reflects this decomposition.

Student Resources

Vetted resources students can use to learn the concepts and skills in this benchmark.

Tutorials

Monkeys for a party:

In this tutorial video from Khan Academy, explore place value relationships with tens and ones within 20.

Type: Tutorial

Teens as sums with 10:

In this tutorial video from Khan Academy, place value patterns are explored in "teen" numbers.

Type: Tutorial

Parent Resources

Vetted resources caregivers can use to help students learn the concepts and skills in this benchmark.

Tutorials

Monkeys for a party:

In this tutorial video from Khan Academy, explore place value relationships with tens and ones within 20.

Type: Tutorial

Teens as sums with 10:

In this tutorial video from Khan Academy, place value patterns are explored in "teen" numbers.

Type: Tutorial