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The purpose of this Warm-up is to elicit ideas students have about objects arranged in an array, which will be useful when students arrange equal groups into arrays in a later activity. While students may notice and wonder many things about this image, ideas around arrangement and equal groups are the important discussion points. When students notice the arrangement of the eggs, they look for and make use of structure (MP7).
What do you notice? What do you wonder?
The purpose of this activity is for students to describe an array as an arrangement of objects into rows with an equal number of objects in each row and into columns with an equal number in each column. This will be helpful in the next activity when students arrange objects into arrays and describe arrays in terms of multiplication.
When students decide whether or not they agree with Noah about seeing equal groups in the array and explain their reasoning, they construct a viable argument and critique the reasoning of others (MP3).
The purpose of this activity is for students to build arrays with physical objects and describe the arrays in terms of multiplication. Students focus on where equal groups can be seen in arrays. Students will write expressions and equations to represent arrays in future lessons. In the activity, students are asked to create different arrays with 24 cubes. It is not an expectation of grade 3 for students to find all the arrays for a given number.
When students notice that the rows or columns in an array have the same number of objects and relate this to equal groups, they look for and make use of structure (MP7).
Keep connecting cubes out for the Cool-down.
Use cubes to make 6 groups of 5.
Count out 20 cubes.
Count out 24 cubes.
“Today we arranged objects into arrays and described how arrays are related to equal groups.”
“What did you think about when you arranged cubes into arrays?” (I dealt the cubes into equal groups and then arranged them into an array. I thought about equal groups I could use to make the total and made each group a row with the same number of things in each row. I arranged them until there were the same number of cubes in each row and the same number of cubes in each column.)