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).

Quarter 1

Quarter 2

Quarter 3

Quarter 4

Add and subtract within 20, developing fluency for addition and subtraction within 10*. Add and subtract within 20 using strategies such as:

Counting on (+/- 1 and 2)

* HCPSS includes 9 + 2
Add and subtract within 20, developing fluency for addition and subtraction within 10. Add and subtract within 20 using strategies such as:

Make Ten (i.e., 6 + 4 = 10, 10 – 3 = 7)
Add 0
Add and subtract within 20, developing fluency for addition and subtraction within 10*. Add and subtract within 20 using strategies such as:

Doubles (i.e., 4 + 4 = 8, 6 = 3 - 3)

* HCPSS includes doubles beyond 10
Add and subtract within 20, demonstrating fluency for addition and subtraction within 10*. Add and subtract within 20 using strategies such as:

+10 (i.e. 5 + 10 = 15)

* HCPSS includes as foundation for upcoming strategies
Chapter 2
Chapters 3 and Six
Chapter 5
Chapter 4
SAW3 Resources
Lesson, PowerPoint
Lesson, PowerPoint
Fact Cards
SAW3 Resources
Make 10
Lesson, PowerPoint
Make 10 Enrichment
Lesson1, PowerPoint1
Lesson2, PowerPoint2
Fact Cards

+/- Zero
Lesson, PowerPoint
+/- Zero Enrichment
Lesson, PowerPoint
Fact Cards
SAW3 Resources
Adding Doubles
Lesson, PowerPoint
Subtracting Halves
Lesson, PowerPoint
Fact CardsLogsGames
SAW3 Resources
+Ten Lesson, Resource, PowerPoint+Ten Enrichmentt Lesson, PowerPointFact Cards and LogsGames

Increasing Rigor

  • How is 9+2 related to 29+2, 49+2, and 79+2?
  • How does the make-ten fact, 4+6 help you find the sum of 34+6 or 54+6?
  • Does the doubles strategy work with numbers greater than 10?
  • When we subtract 2 we can think of counting back. Does this work with two-digit numbers? How are 61-2, 31-2, and 11-2 related?
  • How could you use doubles to help you find the sum of 7 + 6?
  • Julie picked out three different dominoes out of a pile of dominoes. If she added the dots on each domino, the sum of each domino was 10. What could the three different addition sentences be for the three dominoes she picked?

Vocabulary (online dictionary, HCPSS Vocabulary Cards)

addition, add, subtraction, subtract, count on, count back, doubles, make ten

About the Math

Quick recall of basic facts helps us with more complex ideas about math. Developing quick recall takes time. This standard is developed over the course of the year. Basic fact instruction cannot be confined to timed-tests and flashcards. In fact, timed-tests must be limited due to the negative impact they can have on many students. Basic fact instruction should follow the sequence of Mastering the Basic Facts or the HCPSS Strategies At Work program. Mad-Minutes and similar approaches are not supported.

The Illustrative Mathematics tasks below demonstrate expectation for this standard.

Rich Tasks for Multiple Means of Engagement, Expression, and Representation (UDL)

  • Calculator Doubles (Van de Walle, K-3, p 101) Use the calculator and enter the "double maker" (2 X =) Let one child say, for example, "Seven plus seven." The child with the calculator should press 7, try to recall the double (14) and then press = to see the correct double on the display. (Note that the calculator is also a good way to practice +1 and +2 facts.)

  • Make 10 on the Ten-Frame (Van De Walle, K-3, p 103). Give students a mat with two ten-frames. A flash card can be shown or a fact can be said orally that represents a make ten and some more fact (ex 7 + 9). The students should first model each number on each of the separate ten-frames and then decide on the easiest way to show (without counting all) what the total is. The obvious (but not the only) choice is to move counters from one ten frame to make 10 on the other, Then you have 10 and whatever is leftover. DoubleTens.png

  • Say The Ten Fact (Van de Walle, K-3, p 106) Hold up a ten-frame and have children say the "ten fact". For a card with 7 dots, the response is "seven and three is ten." Later, with a blank ten-frame drawn on the board, say a number less than 10. Children start with that number and complete the "ten fact". If you say "four", they say, "four plus six is ten." (Little Tens Frames)

  • Van de Walle, K-3, Activity 4.5 "Double Images" Page 101

Rich Problem:
The total of two numbers is ten. What might the two numbers be? (Lilburn and Ciurak, Investigations, Tasks and Rubrics to Teach and Assess Math, p 30)

Web Resources:

hcps 092810 630.jpg
hcps 092810 666.jpg
hcps 092810 723.jpg
Games and Centers
Student Resources
Video Segments
Printable Games
Plus One Game (v1)
Plus One (v.2)
Elevator Ride
One Less (11-20)
Make Ten Game
Facts of Ten
Fact Family House
Number Sentence Match
Sums of Ten
Addition Domino Train
I Have...Who Has? (Easy Facts)
Strike it Out
Smart Sums
Ten Pin Game

Printable CentersDoubles PathMake 10 on the Ten FrameMake 10 SquaresDot Card AdditionNear Double Match
Clever CountingDoubles PlaySmart Subtract Make 10
Smart Subtract Dice Games
Sum Difference Puzzle

Online GamesNumber Pairs to Make 20How Many Under the Shell?Break Apart
Kakooma (4 Boxes)
Kakooma Pro (4 Boxes)
Kakooma (5 Boxes)
Kakooma (5 Boxes Pro)
Matching Number Pairs for 10
Instructional Ideas
Teaching Doubles
Teaching Make 10
Teaching +1,+2
Teaching Near Doubles
Teaching Bonds of Ten

Lesson Seeds
Rule It Out
Ten Pennies

Lesson Plans
Sum Search
Seeing Double
Let's Learn Those Facts
Crayon Box Combinations
Addition Doubles
Addition Fluency Adding with 0, 1, and 2

Fact Family Templates
Doubles Flash Cards
Make Ten Flash Cards
Make Ten Bond Cards
Bridging Scaffold Sheets For Make 10
Near Doubles Flash Cards
Doubles Dice
Add 10 Grab Bag Recording Sheet
(Erin Reisberg, Centennial Lane)

Make 10 Rhymes
Addition Make 10
Subtraction Making 10
Subtraction Making 10 Rhymes
Models Making 10
Subtraction Making 10 Using Models
Subtraction Making 10 Missing Minuend Using Model
Subtraction Making 10 Missing Minuend Using Models

Children's Literature

Click on the book for additional activities.
Bob the Builder.png

Jack the Builder

Double the Ducks.png

Double the Ducks
Math for All Seasons
by Greg Tang


Contact John SanGiovanni at

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Howard County Public Schools Office of Elementary Mathematics Curricular Projects has licensed this product under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License.