Counting Groups

Grade Level: 2

Area of Math Engaged: Counting

Specific Ideas: Grouping

(9)Materials Needed: One set of unifix cubes per group, and paper and pencil for each student are needed.

(10)Set up: Organize the students into cooperative groups. Provide each group with a set of unifix cubes. The manipulatives will serve as a concrete way for the students to visualize the groups and how they fit into the number.

(2)Introduction: Usually when you work on math problems or count things in your everyday life, you count by ones. Today you will find new ways to count that are easier than counting by ones.

Objective: TLW use unifix cubes and counting skills to form numbers using specified groups. The students will use the groups to find numbers with and without remainders.

(1)(4)(5)Activity 1: Find four numbers that you can make using groups of three with no cubes left over(no remainder). Repeat process with various groups(5, 7, 10). One of the four numbers must be large. (15)Give candy or some other incentive to the group that finds the largest number without a remainder.

Model the activity for the students to show how the unifix cubes can be used to construct groups and find numbers using the groups.

Have each student draw the group's numbers. The students should draw how they have arranged the cubes to find the number. Have the students circle and number each group and write the number they formed next to the groups. These drawings will show how the groups are thinking about the task. Model how the students should draw their unifix cube models on paper.

Check for understanding and have the students begin the activity.

(7)Example: Find four numbers that you can make using groups of three with no remainder.

(6)When groups have finished activity one, have a representative from each group draw one of their examples on the board. Have another group member explain how they used the groups to find their number. (8)Discuss how students counted using groups instead of ones. The teacher can also record the data in a table on the overhead. This allows the students to compare their results and challenges them to produce larger numbers.

(3)Activity 2: Repeat steps in activity one, but specify how many leftovers(remainder) there should be.

Example: Find four numbers that you can make using groups of three with two cubes left over.

Repeat drawings, explanations of strategies, and labeling for class discussion.

Closing: Review concepts of grouping, how numbers can be made or counted using groups instead of counting by ones.

(13)This idea of grouping can lead into lessons about place value in order to develop the concept of grouping before students are required to group by tens. The data in the table from the activity could also be used to talk about grouping in terms of multiplication and division.

Generative Activity Test

(14)