Teacher's Notes Unit 1

Standard(s)

Student Outcome

Student Engagement

Material(s)/Resources(s)

Lesson Components

Including differentiation

and guiding questions

Unit 1 Understanding the Place Value System

5.NBT.2 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal-point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10.

Develop an understanding of multiplying by powers of 10 using squared numbers

What is a square?

Properties of a square

• All sides are the same size,

• You only have to measure one side to know all of the dimensions

• 4 right triangles

Square on a grid activity

As an introductory activity:

Give Students a square grid

• What is the area?

• Ask them to find the area of this square and remind them that area is measured in a square unit.

• Show your thinking.

• Show another way to solve it.

Let's talk about what it might mean to square a number.

• "A new concept for some... what is 5 squared? How do you square the number 5?

• Students share their ideas. Use questioning techniques to give more details. (Students may recognize that they know that when you multiply a digit by itself the array is always a square.)

• "Why might that work? Why do you say that? What is about a square that makes you say that? Think about the properties of a square and how can you relate that to squaring a number?"

• Squaring a number is also referred to as raising a number to the second power with 2 being the exponent: the number of times that the number is multiplied by itself.

• Practice writing square numbers and their equations... 5x5=25 52

• Do several examples and non-examples of squaring numbers

Assessment

Special Notes

After steering them to the correct understanding of squaring a number you can refer to the AAAmath web site for QUICK practice in squaring numbers.

http://www.aaamath.com/exp-eval-squ1.htm

Does the student correctly square a number and explain.

Key vocabulary words: square number, area, exponent