Numeration and place value
Interactive Resources:
Virtual base ten blocks: Place value activity
Help students visually represent numbers and place value. Students are given a target number and
drag base 10 blocks onto the paper to represent that number. As students add blocks, a counter at
the bottom of the page shows how many blocks are currently on the paper.
http://www.learningbox.com/Base10/BaseTen.html
Wishball: whole numbers
Test your understanding of place value with whole numbers. Receive a starting number, such as
3786, and work towards turning it into a target number, such as 7664. Spin a random digit, choose
its decimal place value and decide whether to add or subtract the random digit from your starting
number. You can use a 'Wishball' to help you reach the target number. Try to achieve the target with
as few additions or subtractions as possible. This learning object is one in a series of ten objects.
http://www.scootle.edu.au/ec/viewing/L867/index.html
Hopper: whole numbers
Help a frog to jump along a number line. Estimate the finishing point on a number line, after adding
or subtracting multiples of whole numbers to a starting number. For example, 255+(10 x 4) = 295.
Explore the patterns made on a counting grid and number line. Identify counting rules that match
the pattern of 'landing spots' on a counting grid. This learning object is one in a series of seven
objects.
http://www.scootle.edu.au/ec/viewing/L1084/index.html
Arrays: explore factors
Explore how numbers can be broken up with factors. For example, the number 9 can be expressed
as 9x1 or 3x3. Predict the factors of a number in the range 1 to 50. Make an array of equal rows and
columns with the number to check its factors. Choose a statement to describe how many factors the
number has. This learning object is one in a series of five objects.
http://www.scootle.edu.au/ec/viewing/L2060/index.html
Factor Game
3-5, 6-8
Exercise your factoring ability against a human or the computer in this Calculation Nation game
http://illuminations.nctm.org/Activity.aspx?id=4134
Place value to 100,000
An interactive that requires students to construct a five-digit numeral on a place value chart and
then write the numeral. There is a link to a printable recording sheet.
http://www.hbschool.com/activity/elab2004/gr4/1.html
Videos:
Place Value Video
The Learning Framework in Number
Building Place Value through Grouping
http://www.curriculumsupport.education.nsw.gov.au/countmein/learning_framework_in_number_
5_0.html
Khan Academy – videos and skills
https://www.khanacademy.org/math/arithmetic/order-of-operations/place_value/v/place-value-1
Lesson Guides:
Department of Education and Early Childhood Development
Common misunderstandings: level 2: place value
TLF ID M009634
This is a teaching resource for teachers of years 1 and 2 that provides descriptions of some common
student misunderstandings about place value, the impact of the misconceptions on counting
increasingly large collections of objects, and the use of place value to name and rename numbers.
An advice rubric provides interpretations of student responses and corresponding teacher strategies
to assist students to overcome specific misconceptions. Printable classroom resources and teacher
notes are provided. This resource is from the collection of the Victorian Mathematics Developmental
Continuum P-10 materials.
http://www.education.vic.gov.au/school/teachers/teachingresources/discipline/maths/assessment/
Pages/lvl2place.aspx
TIMES Module 1: Number and Algebra: counting and place value - teacher guide
This is a 16-page guide for teachers. It is a module introducing the concept of place value.
http://www.amsi.org.au/teacher_modules/Counting_and_place_valueK-4.html