Grade 06 Mathematics - EC: M06.B-E.1.1.5

Continuum of Activities

The list below represents a continuum of activities: resources categorized by Standard/Eligible Content that teachers may use to move students toward proficiency. Using LEA curriculum and available materials and resources, teachers can customize the activity statements/questions for classroom use.

This continuum of activities offers:

Instructional activities designed to be integrated into planned lessons
Questions/activities that grow in complexity
Opportunities for differentiation for each student’s level of performance

Grade Levels

6th Grade

Course, Subject

Mathematics

Related Academic Standards / Eligible Content

M06.B-E.1.1.5 M06.B-E.1.1.5

Apply the properties of operations to generate equivalent expressions. Example 1: Apply the distributive property to the expression 3 (2 + x) to produce the equivalent expression 6 + 3x. Example 2: Apply the distributive property to the expression 24x + 18y to produce the equivalent expression 6(4x + 3y). Example 3: Apply properties of operations to y + y + y to produce the equivalent expression 3y.

Activities

Write an expression equivalent to n⁵

Write an expression equivalent to 12y + 8x

Write an expression that is equivalent to 8(2x – 4y)

Write an equivalent expression for each of the given expressions in the table below. The first example is done for you.

A student was asked to write an example of the distribute property on his homework. He wrote 4(72) = 4(70) + 4(2). Do you think he is correct? Explain your answer.

Sarah was keeping track of her weekly allowance by adding her money each week. After 4 weeks she had earned 12 + 12 + 12 + 12 = $48. Her older brother said that she could just use the expression 12w to calculate the amount of money she makes for “w” weeks. Is her brother correct? Justify your answer.

Answer Key/Rubric

4(3y + 2x)

16x – 32y
Yes his answer is correct.

Reasons might include, but are not limited to:

4(72) is the same as 4(70 + 2)

4(70 + 2) is the same as 4(70) + 4(2) when you use the distributive property

Multiplying a number by a group of numbers added together is the same as doing each multiplication separately

Yes the older brother is correct.

Reasons might include, but are not limited to:

Repeated addition is the same as multiplication

12w tells you to multiply $12 by the number of weeks that you earn that allowance