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In this activity (on pages 49-54 of PDF), learners play with tangrams, a set of triangles, squares and a parallelogram that can combine into a larger square as well as all sorts of other shapes.

1 cent - $1 per student Ages 4 - adult 45 to 60 minutes
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In this activity, learners investigate balance and symmetry by designing a symmetrical butterfly, using a paper cutout.

1 cent - $1 per student Ages 4 - 6 10 to 30 minutes
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In this activity, the learner asks yes-no questions to identify a secret object (similar to Twenty Questions). This game is easy to adapt for different ages and different kinds of contexts.

free Ages 4 - 14 5 to 10 minutes
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In this activity, learners design unique tiles and make repeating patterns to create tessellations. This activity combines the creativity of an art project with the challenge of solving a puzzle.

1 cent - $1 per student Ages 11 - 14 1 to 2 hours
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In this activity, learners develop spatial reasoning skills as they blow bubbles and observe what happens when the bubbles connect.

$1 - $5 per group Ages 4 - 8 10 to 30 minutes
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In this math lesson, learners identify the relationship between the number of sides in a regular polygon and the number of struts needed to make each polygon rigid.

$1 - $5 per group Ages 8 - 11 45 to 60 minutes
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In this math lesson, learners participate in a variety of activities that give them experience in recognizing, describing, and extending repeating and arithmetic patterns.

$5 - $10 per group Ages 6 - 8 1 to 2 hours
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In this math activity, learners play a game and try to be the first player to identify their partner's rule. Learners identify the rule by finding commonalities between three familiar objects.

free Ages 4 - 8 5 to 10 minutes
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In this math lesson, learners explore transformations and quadratic functions through toothpick patterns.

$1 - $5 per group Ages 14 - 18 45 to 60 minutes
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In this activity, learners arrange triangles together to make patterns to create paper quilts. Learners experiment with arranging the triangles in different ways to make various designs.

1 cent - $1 per student Ages 4 - 8 30 to 45 minutes
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In this two-part math lesson, learners investigate problems that foster algebraic thinking across content strands. In the first part, learners explore even and odd numbers linked to quilts.

1 cent - $1 per group Ages 8 - 11 1 to 2 hours
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In this math activity, learners observe and sketch cracking patterns in pavement.

1 cent - $1 per student Ages 11 - 18 10 to 30 minutes
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In this activity, learners slide shapes to create unusual tiled patterns.

1 cent - $1 per student Ages 8 - 11 30 to 45 minutes
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In this art/science/math activity, young learners are introduced to the concept of symmetry in nature.

1 cent - $1 per student Ages 4 - 8 10 to 30 minutes
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In this activity, learners construct three math puzzles out of simple materials like wood, string, and Styrofoam.

$1 - $5 per student Ages 6 - 14 1 to 2 hours
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In this activity about sleep rhythms (on page 21 of the PDF), learners will collect data about their own sleep cycles and use a fraction wheel to examine their data.

1 cent - $1 per student Ages 8 - 14 1 to 7 days
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In this outdoor activity, learners use pegs (like tent pegs) and string or elastic to simulate drill sites and roads in Northern Canada.

$5 - $10 per group Ages 11 - 18 30 to 45 minutes
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In this activity, learners repeat patterns in two and three dimensions to create tessellations. This activity combines the creativity of an art project with the challenge of solving a puzzle.

$1 - $5 per group Ages 4 - 8 45 to 60 minutes
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In this geometry activity, learners explore networks painted on playgrounds, such as a four square court, and draw their own.

1 cent - $1 per group Ages 8 - 11 10 to 30 minutes
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In this math activity, learners make and explore patterns using the letters in their names, a grid, and some colors.

1 cent - $1 per student Ages 4 - 8 5 to 10 minutes