KCCA2 About the Math, Learning Targets, and Opportunities for Enrichment
Kindergarten Mathematics Counting and Cardinality
K.CC.A.2
Full Standard
Count forward beginning from a given number within the known sequence (instead of having to begin at 1).
Measurement Topic
This standard is reported on the report card in these quarters as follows:
Quarter 1 | Quarter 2 | Quarter 3 | Quarter 4 |
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Report Card Measurement Topic: Demonstrates understanding of counting principles. | Report Card Measurement Topic: Demonstrates understanding of counting principles. |
About the Math
Skills and concepts below are learning goals for this standard.
- Count to 20.
- Count to 50.
- Count to 100.
- Count on from a number other and 1 up to 100.
- Understand one more and one less as it relates to counting.
Counting on or counting from a given number conflicts with the learned strategy of counting from the beginning. In order to be successful in counting on, students must understand cardinality. Students often merge or separate two groups of objects and then re-count from the beginning to determine the final number of objects represented. For these students, counting is still a rote skill or the benefits of counting on have not been realized. Games that require students to add on to a previous count to reach a goal number encourage developing this concept. Frequent and brief opportunities utilizing counting on and counting back are recommended. These concepts emerge over time.
Common Misconceptions
Some students might think that the count word used to tag an item is permanently connected to that item. So when the item is used again for counting and should be tagged with a different count word, the student uses the original count word. For example, a student counts four geometric figures: triangle, square, circle and rectangle with the count words: one, two, three, four. If these items are rearranged as rectangle, triangle, circle and square and counted, the student says these count words: four, one, three, two.
Progression of Standard within Kindergarten
This progression informs how to develop the standard within the grade level. This progression is provided by HCPSS Elementary Mathematics.
Quarter 1 | Quarter 2 | Quarter 3 | Quarter 4 |
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Progression of this Standard Across Grades
This progression is informed by the Achieve the Core Coherence Map Links to an external site.. Information is not the complete standard.
Grade |
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This concept is not taught after Kindergarten. Students are expected to apply the standard proficiently. |
TASKS
These tasks can be used with small group or whole group instruction.
- Students sit in a circle and the teacher walks around the outside counting at a steady pace. The teacher stops at a student and taps them on the shoulder, the student stands up and walks around the circle counting where the teacher left off, tapping a new student to take their place and sitting in their spot. Let students know how high the count will go and begin the count again when you have reached the target number. Variations include starting at a number above 20, counting backwards or having everyone clap when you start a “new ten.”
- Sage knows that 27 comes after 26 and 37 comes after 36. How could she figure out what number comes after 46? 56? Is there a pattern she can use?
- Count backwards from a given number within 100.
- Counting objects is the work of KCC4 and KCC5 and only requires students to count up to 20 in a set of objects. However, connecting the ideas of counting to counting objects is a legitimate strategy as they are connected. If appropriate, students could count quantities up to 40 using a counting on strategy (counting from a number other than 1).
- Give students a completed hundreds chart that is cut up into puzzle pieces for students to put back together. Ask students how they know the 100 chart is put back together correctly.
- Draw a number line with end point 0-20, place a dot and ask students what number could be where the dot is. Have students explain their thinking.
- Max needed help counting to 35. How could he use a fifty chart to help him?
- Have students roll a dice. Have the students count on from the number they rolled.
SLIDE-BASED TASKS
These links are HCPSS created instructional tasks. These tasks are provided in Google slides. These tasks should be used for inspiration and resources, but instruction should start with students having the opportunity to engage with the math first (often involving physical and/or visual models) followed by discussion and explicit instruction to ensure student understanding.
Module 7 • Counting to 50
Count within 50 (starting with any number):
Module 13 • Counting to 100
Count within 100 (starting with any number):
- Start With, Get To Links to an external site.
- Hiding Numbers Part 1 Links to an external site.
- Hiding Numbers Part 2 Links to an external site.
- Counting Backwards within 100 Links to an external site.
- Wacky Number Chart 1-100 Links to an external site.
- Roll Call to 100 Links to an external site.
- Number Connections Links to an external site.
- Hide the Numbers Links to an external site.
Additional Tasks
These links provide instructional ideas connected to this standard.
- Number After Bingo 1-15 Links to an external site. (Illustrative Mathematics)
- Number Line Up Links to an external site. (Illustrative Mathematics)
- "One More" Concentration Links to an external site. (Illustrative Mathematics)
- Number Rods Links to an external site. (Illustrative Mathematics)
- Pick a Number, Counting On Links to an external site. (Illustrative Mathematics)
- MSDE Lesson Seeds
Tasks From Print Resources
These publications have been provided for each school. They are typically stored in team closets or the media center. Check with your team leader if you cannot find them.
Book Thumbnail | Title | Reference |
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Teaching Student-Centered Mathematics by: John A. Van de Walle and Lou Ann H. Lovin |
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Hands-On Standards published by: Learning Resources |
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Math Intervention K-2 by: Jennifer Taylor-Cox |
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Tasks Connected to Literature
Suggested titles to support the standard can be found in the table below. Check your school library or Howard County Library System for availability, or purchase using Materials of Instruction (MOI) funds. When available, select links to view activities aligned to each title.
Mouse Count
by Ellen Stoll Walsh
Counting
by Henry Pluckrose
Count Off
by Laura Driscoll
The Mousier The Merrier
by Eleanor May
Centers
These print resources can be used during independent or center time. These resources could also be used as lesson seeds.
- Build One More Ten Frame Download Build One More Ten Frame (HCPSS-adapted resource)
- Count On It Download Count On It (HCPSS-adapted resource)
- Count Two On It Download Count Two On It (HCPSS-adapted resource)
- Decade Concentration Download Decade Concentration (HCPSS-adapted resource)
- Roll and Count On Download Roll and Count On (HCPSS-adapted resource)
- Sequence 1 Digit Download Sequence 1 Digit (HCPSS-adapted resource)
- Sequence Download Sequence (HCPSS-adapted resource)
- Show Two More Download Show Two More (HCPSS-adapted resource)
- What's One More? Download What's One More? (HCPSS-adapted resource)
PRACTICE/ASSESSMENT
These materials can be used for independent practice and/or for assessment purposes. These tasks align with the learning goals for the standard.
Assessment and Instructional Tasks
- K.CC.A.2 Count On From A Links to an external site.
- K.CC.A.2 Count On From B
Links to an external site.
- K.CC.A.2 Numbers to Left and Right Links to an external site.
- K.CC.A.2 Counts From Assessment Recording Sheet Links to an external site.
Full Standard
Count forward beginning from a given number within the known sequence (instead of having to begin at 1).
Measurement Topic
The standard is reported on the report card through these measurement topics. Expand the measurement topic for a description of what students who meet expectation are able to do.
Kindergarten Students Learning Kindergarten Standards by Measurement Topic
Demonstrates understanding of counting principles
Quarter 2
- Fluently count within 50 from a number other than 1.
Quarter 4
- Fluently count within 100 from a number other than 1.
KCC2 Anecdotal Data Collection Tool Links to an external site.
Visit the SBIR (Standards Based Instruction and Reporting) page in Course Essentials for more information and clarification.
Rubric (for thinking and reasoning evidence)
Use this rubric for observation and constructed responses (tasks that require explanation, justification, and/or representation).
Rubric for Tasks (pdf) Links to an external site.
Exemplars for this standard (if available)
These samples are examples of what it might look like for a student who MEETS EXPECTATIONS, is MAKING PROGRESS, and/or is MAKING LIMITED/NO PROGRESS.
TASK | MEETS EXPECTATIONS | MAKING PROGRESS | MAKING LIMITED/NO PROGRESS |
Ask the student to do two tasks with counting, one at a time. Observe.
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Student fluently counts and is able to complete both tasks. 1 prompt from the teacher is still acceptable. |
Student needs prompting and support to cross decades when counting. Student needed prompts 2-4 times. |
Student needs to begin at 0. Student is unable to count accurately and fluently even with adult support, prompts, and use of math tools to help (i.e, 100 chart). |
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Links to an external site. license. Content in this course can be considered under this license unless otherwise noted.