This interactive Flash puzzle helps children develop number sense and an understanding of our decimal number system. A 0-99 square has been cut into 11 irregular pieces which the user re-assembles. A printable (pdf) version is included along with questions for Getting Started and a Teachers' Resources page with implementation suggestions.

This lesson will incorporate the use of the Keynote app on the iPad. Students will need to demonstrate their understanding of multiple representations of an arithmetic sequence. Students will spend a class period creating the presentation.

This brief article relates the legend of young Gauss and the summing of consecutive numbers. Readers are asked to apply the method and they are shown a general solution. A link to a printable page is provided as well as links to related topics.

This problem encourages children to identify and describe a pattern and to extend the pattern into a general rule. Using an applet, learners try to discover the number of garlic cloves being planted if the arrangement into various rows always finds that there is one left over. The Teachers' Notes page offers rationale, suggestions for implementation, discussion questions, and ideas for support and extension.

This problem reinforces a learner's understanding of factors and multiples. Students are presented with the hundred grid or parts of the grid where specific numbers have been shaded and must find out which factors have been chosen in order to produce the shading. A link to a spreadsheet which shades the squares according to the chosen factors, can be used by students to check their hypotheses. The Teachers' Notes page offers rationale, suggestions for implementation, discussion questions, and ideas for extension and support.

This problem provides an opportunity for children to explore and visualize number patterns and sequences and to reinforce key number concepts and vocabulary such as odd and even, factors and multiples. Students cut consecutive number tracks into equal length pieces in several ways and investigate the patterns that emerge among the sums of the tracks. The Teachers' Notes page explains number tracks and offers suggestions for implementation, discussion questions, a printable sheet of number tracks (pdf), and ideas for extension and support.

This activity provides students with an opportunity to recognize arithmetic sequences and at the same time reinforces identifying multiples. The interactivity displays five numbers and the student must discover the times table pattern and the numerical shift. On Levels 1 and 2, the first five numbers in the sequence are given and on Levels 3 and 4, the numbers given could be any five numbers in the sequence. The Teachers' Notes page offers rationale, suggestions for implementation, discussion questions, ideas for extension and support.

This problem offers a simple context to begin an exploration of the properties of numbers and to make conjectures about those properties. Learners explore the sums of consecutive numbers and whether all positive numbers from 1-30 can be written as the sum of two or more consecutive numbers. The Teachers' Notes page offers suggestions for implementation, key discussion questions, ideas for extension and support.

Multiple sets of visual patterns that follow a variety of patterns such as linear, exponential, quadratic, etc. Can be used to have students figure out what the next set of shapes will look like, write equations to describe the pattern, and predict how many shapes will be the 43rd set or beyond.