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

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?

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.

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)

## 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

developingfluency for addition and subtraction within 10*. Add and subtract within 20 using strategies such as:Counting on (+/- 1 and 2)

* HCPSS includes 9 + 2

developingfluency 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

developingfluency 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

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

* HCPSS includes as foundation for upcoming strategies

SAW3 Resources+1/+2

Lesson, PowerPoint

-1/-2

Lesson, PowerPoint

Fact Cards

Logs

Games

SAW3 ResourcesMake 10

Lesson, PowerPoint

Make 10 Enrichment

Lesson1, PowerPoint1

Lesson2, PowerPoint2

Fact Cards

Logs

Games

+/- Zero

Lesson, PowerPoint

+/- Zero Enrichment

Lesson, PowerPoint

Fact Cards

Logs

Games

SAW3 ResourcesAdding Doubles

Lesson, PowerPoint

Subtracting Halves

Lesson, PowerPoint

Fact CardsLogsGames

SAW3 Resources+Ten Lesson, Resource, PowerPoint+Ten Enrichmentt Lesson, PowerPointFact Cards and LogsGames

Increasing Rigor

addition, add, subtraction, subtract, count on, count back, doubles, make tenVocabulary (online dictionary, HCPSS Vocabulary Cards)

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.About the MathThe Illustrative Mathematics tasks below demonstrate expectation for this standard.

Rich Tasks for Multiple Means of Engagement, Expression, and Representation (UDL),"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.)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:Games and CentersLessonsStudent ResourcesVideo SegmentsPlus 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

Limbo

Numskill

Kakooma (4 Boxes)

Kakooma Pro (4 Boxes)

Kakooma (5 Boxes)

Kakooma (5 Boxes Pro)

Matching Number Pairs for 10

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

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

Click on the book for additional activities.Children's LiteratureJack the Builder

Double the Ducks

Math for All Seasonsby Greg Tang

## Questions/Comments:

Contact John SanGiovanni at jsangiovanni@hcpss.org.Use and Sharing of HCPSS Website and Resources: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.