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