First Grade CCSS: Unit 2

Adding and Subtracting Within 20


Did you say teaching place value was difficult? It isn’t anymore. The passel of pictures, tabletop cards, and scaffolded activities provide you with rare teaching tools that make it simple. Once you understand place value, adding and subtracting to 20 is a breeze. One thing follows another and pretty soon it all makes sense, even to a first grader. The six modules in this unit do away with saying it and saying it again. It only takes one time through and it’s all clear.

Explore First Grade CCSS: Unit 2

  • Unit Info
  • Classroom Aids
  • Technology
  • Collections
  • Training

Unit 2 Details:

  • 150 reproducible student activity sheets
  • Implementation guide
  • 6 module guides complete with lesson plans, strategies and answer keys
  • Pre- and Posttests for each module
  • Classroom Aids: FlipCards — More Info
  • Technology: Access to digital content with Green Editions — More Info

Module Details:

  • Module 1: Introducing Place Value: Tens and Ones
  • In this module, pictorial representations are used in conjunction with concrete models to build the association of numbers and their base ten values. Place value charts are used for showing the values. Bundles of straws, beads on strings, and connecting cubes are used for introducing the concept. Students review matching numbers to the quantities represented by the models and progress to comparing numbers in place value charts without the pictorial representations. FlipCards Place Value Cards 10–20 are provided for additional reinforcement, all culminating in concrete, pictorial, and abstract approaches to understanding place value.
  • Module 2: Adding Within 13
  • The first five pages of this module visually show how adding with sums 10–13 relate to place value, using models and charts to reinforce this skill. In addition sentences, TouchPoints on the lesser addends are included to help students to count on. To continually connect numbers and quantities, students draw dots to represent the quantity that is counted on. Use of concrete models is encouraged, and mathematical vocabulary is increased as children are introduced to the term "unknown" to refer to missing addends. Word problems and comparisons are used throughout the module.
  • Module 3: Adding Within 20
  • The activities in this module build on the concepts that were introduced in Module 2. The scaffolding continues with place value models being eliminated, but place value charts continue to be used, as well as the use of TouchPoints on the lesser addend. Eventually, place value charts are eliminated, reducing the visual cue of the tens and ones. The strategy of drawing dots to represent the smaller addend is continued and comparisons of the sums of pairs of addends are used frequently.
  • Module 4: Subtracting Within 13
  • In this module, subtraction is emphasized by using TouchPoints to count backward the quantity that is being taken away to find how many are left. Achievement in subtraction is quickly attained as students become proficient with backward counting. Backward counting number lines, dot-to-dots, and mazes are used to encourage hands-on, multisensory practice and engage students. Students use the backward counting number line and TouchPoints initially and then transition to using the visual and/or kinesthetic TouchPoints. Application of subtraction equations in word problems and comparisons are also included in this module.
  • Module 5: Subtracting Within 20
  • Engaging, hands-on activities for counting backward within 20 provide practice in mastering this skill. New patterns are introduced and horizontal presentation of subtraction equations is used with backward counting number lines for reinforcement. Fact families are presented (i.e. 14-5 = 9; 14-9= 5) as a strategy for learning the subtraction facts. Doubles are also covered in this module which includes both one-digit and two-digit differences; however, no regrouping is introduced in this module.
  • Module 6: Adding and Subtracting Within 20
  • The activities in this module are scaffolded to provide practice adding within 13 and then 20, using counting on and TouchPoints. These activities are followed by subtracting within 13 and then 20, again using TouchPoints and counting backward to find how many are left. The visual cue of an arrow indicating where to start is still included. The module concludes with mixed addition and subtraction problems on the activity pages. Word problems and comparisons are used consistently throughout the module for reinforcement.

Purchasing Options:

Print Edition



Green Edition


  • Green Edition Details

  • A digital version of First Grade CCSS: Unit 2. Contains the same materials as the physical version, administered through a custom online interface to print and lesson plan with ease — All at a much lower cost!
    Click here for more info

Included with First Grade CCSS Unit 2 are three sets of FlipCards, designed to bring a new level of interactivity and fun into your classroom. Each set of FlipCards offers a robust set of games and activities that will unite your classroom and energize your students. Use them for reinforcement independently or in conjunction with the first grade units.

  • Addition Fact Families 10–18
  • Subtraction Fact Families 10–8
  • Place Value Cards 10–20


3-D Numerals


Desktop TouchLines


TouchNumerals with Base 10


TouchPoint Posters



As an added bonus, this unit comes with access to the Green Edition version -– an online lesson management tool that includes digital/printable versions of ALL the activity sheets and teacher guides contained in the print program. For teachers who prefer less storage requirements and less classroom clutter, don’t forget you can purchase just the digital version of this unit at a significantly lower cost!

While First Grade CCSS Unit 2 covers a wide variety of topics and skills built on the Common Core State Standards, we understand schools and teachers have diverse curriculum needs. Because of that, TouchMath offers this unit in first grade collection options that provide a more extensive set of materials at significant savings. If you’re looking for a more immersive first grade program with extra ways to differentiate instruction, these options create a complete teaching and learning experience by adding additional units, classroom aids, and technology.

First Grade CCSS Complete Program

First Grade CCSS Basic Program


First Grade CCSS: Basic Program
  • Options

  • Print Edition



    Green Edition


    • Green Edition Details

    • A digital version of First Grade CCSS: Unit 2. Contains the same materials as the physical version, administered through a custom online interface to print and lesson plan with ease — All at a much lower cost!
      Click here for more info

First Grade CCSS: Complete Program
  • Options

  • Print Edition



    Green Edition


    • Green Edition Details

    • A digital version of First Grade CCSS: Unit 2. Contains the same materials as the physical version, administered through a custom online interface to print and lesson plan with ease — All at a much lower cost!
      Click here for more info

Free Teacher Training Program:

Teacher Training Manual

Take our interactive training and discover the unique advantages of the TouchMath Program. In just one hour, you will learn the step- by-step process for teaching our multisensory system to students of all abilities and learning styles. Along with the DVD, we will supply all the materials you need for a hands-on, interactive learning experience – absolutely free and yours to keep. Plus, if you watch the DVD with your colleagues, you'll receive a thank you gift.

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Common Core State Standards Initiative