Here is just one lesson using a ten frame that helps 1st grade students Reason abstractly and quantitatively: If you think there is something wrong with this lesson than you have had problems with education long before CC. We used this lesson when I student taught 1st grade a long time ago. Here is the link if you want to read it more detailed and this was just the first example I found when google searching lessons that teach reason abstractly and quantitatively to 1st graders. I can go through each standard you have listed, but really they all come down to something this basic when you break down the language.
http://maccss.ncdpi.**********.net/file/view/1stGradeUnit.pdf
I am sure there are tons more out there. It is really sill that people let a bunch of big words used when writing the standards scare them. It really is silly. All they really mean is that they want the kids to do something as simple as translate a word problem into a simple number sentence. They want them to simply communicate their thinking process and decide if their answer to the problem is reasonable. That is all.
Lesson 1.2: Ten Frames 11-19
Overview and Background Information
Mathematical
Goals
By the end of the lesson students will:
Represent a given number (0 19) on a ten-frame and/or a double ten-frame
and relate the representation to the written numeral
Given a number between 0 and 9, tell how many more are needed to make a
ten
Given a number between 11 and 19, tell how many leftovers (ones) are in
addition to the group of ten
Given a number between 0 and 19, tell how much one more or one less is
Common Core
State
Standards
Extend the counting sequence.
1.NBT.1 Count to 120, starting at any number less than 120. In this range, read and
write numerals and represent a number of objects with a written numeral.
Understand Place Value.
1.NBT.3 Compare two two-digit numbers based on meanings of the tens and ones
digits.
Emphasized
Standards for
Mathematical
Practice
2. Reason abstractly and quantitatively
3. Use appropriate tools strategically
6. Attend to precision
7. Look for make use of structure
Prior
Knowledge
Needed
know number names and the count sequence, count up to 19 objects
Vocabulary place value, tens, ones, leftovers, less, more
Materials ten-frame mats, double ten-frame mats, 2-color counters, number cards (0-9),
spinner, paperclip, pencil, Splitting Up Teen Numbers
Activity Sheet
Resources Technology Link:
http://www.ixl.com/math/grade-1/counting-tens-and-ones-up-to-99
Tasks in the Lesson
Engage 5-10 minutes
Ten Frames 11-19
Give students ten frames and approximately 20 counters each. Ask the students to place ten counters
on the ten frame. Observe to make sure that each space has only one counter in it.
Tell students, Grab another counter and place it next to your ten frame. How many counters do we
now have total? How many are on our ten frame? How many leftovers do we have outside of the ten
frame?
Have the students grab another counter and ask them the questions above. Make sure to emphasize
that the number on the ten frame does not change and the number of leftovers changes. Now,
numbers are only said orally. Do not show the written numeral.
Continue this process until students have 15 counters.
Grade 1: Exploring Two-Digit Numbers
14
Explore 20-25 minutes
Building Teen Numbers
Write the number 16 on the board for students. Tell students to build it using the ten frame.
As students work observe:
Do they put one counter in each square?
Do they organize their leftovers in a way that is easy to count?
How do they orally count the number of counters that they have?
Write the number 18 on the board for students and have them build that number using the ten frame.
Observe the same things as above. Once students have built 16 and 18 introduce the double ten
frame (copy attached). Tell students that double ten frame works just like one ten frame. Emphasize
the importance of filling up the entire top ten frame before filling in the bottom ten frame.
More or Less with Teen Numbers
Split students into pairs. Each pair receives a set of teen number cards and a spinner.
Model the activity for students.
Directions:
Pull a number card from the deck.
Build the number using your double ten frame.
Record your number on the Activity Sheet.
Spin the spinner.
Adjust the ten frame based on what you have spun.
Record your new number on the Activity Sheet.
Model this at least two times with students.
Ask them questions to make sure they understand:
What is the first thing that you will do?
After drawing a card what do we do?
What do we do after we spin the spinner?
As I walk around what will I see on your activity sheet?
As student play observe:
Do they correctly record the correct number?
How do they count the first number of counters?
When they change the number do they count all of the counters or count on from a different number?
Attached is a sheet for you to collect anecdotal notes. Make a note at the top of the chart about the
concepts to observe, such as accuracy, how students count, whether they count all or count on.
Explain 10 minutes
Bring students back together to discuss the activity. The purpose of this is to have students discuss the
idea of tens and leftovers as well as the ideas of changing numbers by counting on or counting back.
Discussing Counting On and Counting Back
Show students the number card 16. .
Either have a student model how to build and change the double ten frame or do it for the class as
students tell you what to do. Spin the spinner, but before changing the ten frame ask:
How should we change our double ten frame?
Follow up by asking: How did you count when we had to change the number?
Grade 1: Exploring Two-Digit Numbers
15
Possible student responses:
I started at 1 and counted all of the counters.
I knew that I had one full ten frame so I started at 10 and then counted 11, 12
We started with 16 and the spinner said to add 2, so I counted 2 more, 17 then 18.
Discussing the Idea of Tens and Leftovers
Show students a blank copy of the chart below. The first two rows are filled in to show you an
example.
Counters in first
ten frame
Leftovers in
second ten frame
Total
counters
Number sentence
10
6 16 10 + 6 = 16
10
7 17 10 + 7 = 17
Ask students questions as they help you fill out the table. For example, if you had built the number 16
on the ten frame.
How many counters are in the first ten frame?
How many counters are in the second ten frame?
If we added the counters from both ten frames, how many would we have?
What would our number sentence if we added the counters in each of the ten frames?
Repeat this with a few of the teen numbers.
This discussion is intended to help students understand that the teen numbers are composed of one
ten and some leftovers. For example, 15 is made up of a group of 10 and 5 leftovers which can be
shown as 10+5 = 15. This is a Kindergarten Common Core Standard, but needs to be revisited
frequently in First Grade.
Elaborate 10 minutes
Give students the Activity Sheet titled Splitting Up Teen Numbers for them to work on.
As students are working feel free to provide extra support to struggling students by revisiting the ideas
of tens and leftovers.
Evaluation of Student Performance
Formative: While students are working observe students.
Questions to assist student evaluation include:
1) Do students correctly represent a number on the ten frames?
2) How do students count after changing a number on the ten frames?
3) Can students accurately tell you how many tens and ones are in the numbers 0-19?
Summative: The activity sheet can be used for summative evaluation.
Plans for Individual Differences
Intervention: Struggling students will work with the numbers 0-10 on a ten-frame before moving onto
numbers 11-19. Small group instruction would be given to these students.
Extension: Students that have achieved the numbers 0 19 could begin exploring the numbers 21-29
during the Explore part of the lesson.