Topic Five: Classify and Count Data

Desired Results

1. Makes sense of problems and persevere in solving them.
2. Reason abstractly and quantitatively.
3. Construct viable arguments and critique the reasoning of others.
4. Model with mathematics.
5. Use appropriate tools strategically.
6. Attend to precision.
7. Look for and make use of structure.
8. Look for and express regularity in repeated reasoning.
Established Goals:
  • K.MD.3: Classify objects into given categories; count the numbers of objects in each category and sort the categories by count.
  • K.CC.5: Count to answer "how many?" questions about as many as 20 things arranged in a line, a rectangular array, or a circle, or as many as 10 things in a scattered configuration; given a number from 1-20, count out that many objects.
  • K.CC.6: Identify whether the number of objects in one group is greater than, less than, or equal to the number of objects in another group, e.g., by using matching and counting strategies.
  • K.CC.7: Compare two numbers between 1 and 10 presented as written numerals.

Student I Can Statements:
  • I can put things into groups by looking at how they are the same.
  • I can count the things that I put into groups and then sort them by how many.
Big Ideas:

Number Uses, Classification, and Representation
Numbers can be used for different purposes, and numbers can be classified and represented in different ways.

Comparison and Relationships
Numbers, expressions, measures, and objects can be compared and related to other numbers, expressions, measures, and objects in different ways.

Data Collection and Representation
Some questions can be answered by collecting and analyzing data, and the question to be answered determines the data that need to be collected and how best to collect the data. Data can be represented visually using tables, charts, and graphs. The type of data determines the best choice of visual representation.

Practices, Processes, and Proficiencies
Mathematics content and practices can be applied to solve problems.
Essential Questions:

  • How can classifying data help answer questions?
Students will know...
  • Objects can be classified into two categories, based on whether they have or do not have a particular attribute.
  • Each group or category can then be counted.
  • Data can be sorted and compared in a variety of ways. Objects can be sorted by putting those with a particular attribute in one group and those without the attribute in another group. Then, the groups can be counted and the categories can be compared by count.
  • Mathematicians use math to explain why they are right. They can talk about math that others do too.


category, classify, chart, tally mark,

Students will be skilled at...
  • Classifying objects into categories and tell why they are in each category.
  • Counting and comparing how many objects are in different categories.
  • Explaining how objects were sorted, counted, and compared.
  • Justifying whether the way objects have been sorted, counted, and/or compared make sense.

Assessment Evidence

Performance Assessment:
Other Evidence:

Formative Assessment:

Learning Plan

Learning Activities:

5-1 Classify Objects into Categories: Classify objects into categories and tell why they are in each category

5-2 Count the Number of Objects in Each Category: Count how many objects are in different categories

5-3 Sort the Categories by Counting: Use counting to compare how many objects are in the categories.

5-4 Math Practices and Problem Solving: Critique Reasoning: Tell whether the way objects have been sorted, counted, and compared makes sense.

Problem of the month:

Measurement & Data

SmartBoard Activities/Games: