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E. Mathematics

Mathematics involves how children explore and understand numbers, patterns, shapes, and measurements in everyday experiences. This includes recognizing and using number words and symbols, counting, understanding part-whole relationships, identifying shapes, measuring, noticing spatial relationships, recognizing units, creating patterns, and analyzing data to make sense of the world around them.

31. Number words and symbols: Children recognize and use number words and symbols.

32. Counting: Children count things.

33. Part-whole relationships: Children combine and separate quantities of objects.

34. Shapes: Children identify, name, and describe shapes.

35. Spatial awareness: Children recognize spatial relationships among people and objects.

36. Measuring: Children measure to describe, compare, and order things.

37. Unit: Children understand and use the concept of unit.

38. Patterns: Children identify, describe, copy, complete, and create patterns.

39. Data analysis: Children use information about quantity to draw conclusions, make decisions, and solve problems.

Lesson 1

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Lesson 2

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Name of Activity:

Bear Sorting – Learning to Measure and Collect Data

 

Originating Idea

Children love comparing sizes and sorting objects. This activity introduces them to early measurement concepts like small, medium, and large while also helping them organize and interpret basic data through hands-on sorting and tallying.

 

Curriculum Area

36: Measuring 39: Data Analysis

 

Materials:

Counting bears in small, medium, and large sizes (variety of colors), sorting mats or trays

Paper and pencils (or crayons) for tally marks

Chart paper or dry-erase board for group data recording

 

Appropriate Age Group:

4 Years Old

 

Beginning of Activity

During small group time, say:
“Today we’re going to be bear scientists! You’ll each get a pile of colorful bears. We will sort them by size and color and then count how many we have in each group. That’s called collecting data, just like real scientists do!” Demonstrate sorting a few bears by size and show how to make tally marks to count them.

 

Middle of Activity

 

Early

With teacher modeling, children sort bears by one attribute (color or size).

The teacher assists in counting and drawing tally marks: “You have three red bears, let’s make three lines: 1, 2, 3!”

 

Middle

Children begin to sort independently by both size and color. With guidance, they start tallying each group on their paper.

 

Ask questions like: “Which group has the most? Which has the least?”

 

Later

Children suggest sorting methods (e.g., “Let’s sort by size first, then color”). They independently tally and compare data with peers: “I have six small bears. How many do you have?” Encourage analysis: “Why do you think you have more large bears than small ones?”

 

End of Activity

Bring the group back to reflect:
“What did we learn about our bears today? Which size did you have the most of?”
Allow children to share their data and talk with peers at their table.
Then say: “Let’s clean up and prepare for snack time!”

 

Follow-Up Ideas

Place the bears in the math or discovery center for free play. Repeat the activity using other items like animals, shape blocks, or letter/number magnets. Using real data collected from bear sorting, create a class graph.

Read books like Sorting by Henry Pluckrose or Bear Counts by Karma Wilson.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Name of Activity

Shape Learning – Exploring Patterns, Shapes, and Counting

 

Originating Idea

Four-year-olds are naturally curious about how things fit together. This activity lets them take the lead in exploring and naming shapes, building patterns, and practicing counting, all while building confidence and independence.

 

Curriculum Area

32: Counting 34: Shapes 38: Patterns

 

Materials

Colored shapes (foam, plastic, or wood in various colors and sizes), Small trays or placemats to define workspaces. Optional: sorting bowls or small bins for grouping shapes

 

Appropriate Age Group

4 Years Old

 

Beginning of Activity

During small group time, gather a few children around a table and say:
“Today, we’re going to play with shapes! You will make patterns, name your shapes, and count how many pieces you use. You’ll get to be the designer of your own shape pattern!” Show examples of the materials and demonstrate a simple ABAB pattern with two shapes or two colors.

 

Middle of Activity

Early

Early Children explore the shapes with their hands. Teacher models and guides naming: “This is a circle. Can you find a circle too?”Introduce the idea of patterns by making a basic one and having children copy it.

Middle Children create patterns using shape or color (e.g., triangle-square-triangle-square).

 

Middle

“What comes next in your pattern?” or “Can you tell me how many shapes you used?” Encourage children to verbalize what they made: “This is red, blue, red, blue!”Later, Children create two types of patterns: shapes and colors. Provide a small pile of shapes and ask them to sort by shape and color, then count the items in each group. Challenge them to make more complex patterns (e.g., AAB, ABC).

 

Later

Give a 5-minute warning and invite children to share their patterns with their group.
Say: “Let’s talk about what we made! What shapes did you use? What was your pattern?”
Then transition: “Now it’s time to clean up and prepare for our next fun activity!”

 

Follow-Up Ideas

Keep shapes in the math or manipulative area for daily access. Repeat the lesson using colored bears, blocks, or natural items (leaves, rocks, sticks). Create a classroom shape graph with favorite shapes voted on by the children.

During circle time, integrate shape songs like The Shape Song Swingalong or Shapes Are All Around.

 

 

 

 

 

 

Name of Activity

Counting Café – Serving Up Numbers and Fun!

 

Originating Idea

Children love pretend play; incorporating math into role-play helps them learn naturally. This activity lets children "cook" and "serve" while practicing counting, number recognition, and one-to-one correspondence in a fun, engaging way.

 

Curriculum Area

31: Number Words and Symbols 32: Counting 36: Measuring Materials: Toy kitchen setup or play food items Number cards (1–10)Small trays or plates Tongs or spoons Dry food items or manipulatives (pom-poms, beans, pretend food pieces)

 

Appropriate Age Group:

4 Years Old

 

Beginning of Activity

Early

Invite the children to join you in the “Counting Café.” Say:
“Welcome to our café! Today, you’re going to be chefs and servers. You’ll get an order card that tells you how many items to put on a plate. Then you’ll count the items carefully before serving them!” Show an example by pulling a number card (e.g., 4) and counting 4 pieces of pretend food onto a tray.

 

Early 

Children match number cards with the correct number of items with support. Model one-to-one correspondence: “Let’s count together—1, 2, 3, 4 grapes!”

 

Middle

Children begin counting independently and selecting the correct number of items. To build fine motor skills, encourage counting aloud and using tongs or spoons. Ask questions like “How many did you serve? What number did you have?”

 

Later

Children take turns being the server and the customer. They create their own “menus” using numbers and pictures. Add a challenge: “If I have three apples and two bananas, how many fruits are on the plate?”

 

End of Activity

Gather the group and say:
“Let’s talk about what we served in our café today! What was the biggest number you counted? What was your favorite item to serve?”
Wrap up by saying, “Time to close the café and get ready for our next adventure!”

 

Follow-Up Ideas

Add number menus to the dramatic play center permanently. Use the same concept for a “Counting Market” or “Math Bakery.”Incorporate books like Ten Red Apples, Pete the Cat, and His Four Groovy Buttons. Send home a simple “Family Café” activity idea so children can practice counting with family members.

Lesson 3

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