Join us for conversations that inspire, recognize, and encourage innovation and best practices in the education profession.
Available on Apple Podcasts, Spotify, Google Podcasts, and more.
As in other sessions, you will be prompted to view short video segments throughout the session; you may also choose to watch the full-length video for this session. See Note 1 below.
LEARNING OBJECTIVES
In this session, you will do the following:
• Explore the development of number and operations concepts at your grade level
• Examine students understanding of number and operations concepts
• Explore how you would teach problems involving different number and operations concepts
Note 1
This session uses classroom case studies to examine how students in grades 3-5 think about and work with number and operations. If possible, work on this session with another teacher or a group of teachers. Using your own classroom and the classrooms of fellow teachers as case studies will allow you to make additional observations.
Previously Introduced
even numbers
Even numbers are integers divisible by 2. Any number that ends with the digit 0, 2, 4, 6, or 8 is an even number.
factor
A factor of a number is a counting number that divides evenly into that number. For example, 3 is a factor of 15, since 3 divides evenly into 15 (five times). Four is not a factor of 15, but it is a factor of 16.
prime number
A counting number is a prime number if it has exactly two factors: 1 and the number itself. For example, 17 is prime, 16 is not prime, and 1 itself is not prime, since it has only one factor.
New in This Session
cubic number
A cubic number is obtained as a result of multiplying a number by itself three times. For example, 1 (i.e., 13 or 1 • 1 • 1), 8 (i.e., 23 or 2 • 2 • 2), 27 (i.e., 33 or 3 • 3 • 3), 64 (i.e., 43 or 4 • 4 • 4), and so on, are cubic numbers. Cubic numbers of dots can be arranged to make a cube.
square number
A square number is obtained by multiplying a number by itself (e.g., 1, 4, 9, 25, …).
triangular number
A triangular number is a number obtained as the sum of consecutive integers. For example, 1 (i.e., 0 + 1), 3 (i.e., 1 + 2), 6 (i.e., 1 + 2 + 3), 10 (i.e., 1 + 2 + 3 + 4), and so on are triangular numbers.