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MATH FAIRY TALES & FABLES

... by George Gadanidis & Molly Gadanidis

"These are wonderful!"

"I love how the stories leave a question to be examined."

BOOK BUNDLE CD BUNDLE

The Book Bundle contains all 9 Math FairyTales & Fables. Books are printed in full colour, with a glossy cover, 8.5 x 7.0 inches.

See 4 interviews with teachers using the Math Fairy Tales & Fables

The CD Bundle includes: story video + thinking prompts + activities + interactive content/simulations and is ideal for classroom computer centres or interactive whiteboards. The CD Bunble contains the first 8Math FairyTales & Fables listed below. CD and is available as an |ndividual or School license. See a DEMO or see a SAMPLE

See music videos inspired by these math fairy tales:

Something Curiously Odd Making 10

The First Little Piggy discovers odd numbers hiding in squares. Where do even numbers hide? Grades: 1-8, 11. Classroom tested: Grades 2, 3, 4, 5, 7, 8.

Math insights: Concrete representations of consecutive odd numbers fit to form squares (for example: 1+3+5 make and 3x3 square and 1+3+5+7 make and 4x4 square). Students are invited to explore what shapes even numbers make.

Grade-specific activities: In grades 1-4: Students use linking cubes to represent consecutive odd numbers as Ls; they notice that the Ls fit to form squares; they repeat this for even numbers and notice the shapes that emerge. In grades 5-8: In addition to the above, students develop algebraic expressions for the sums of odd numbers [NxN] and the sums of even numbers [Nx(N+1)]. In grade 11: The above activities serve as an introduction to the topic of sequences and series.

The Big Bad Wolf helps Hoodie discover patterns with blocks when making sums of 10. But something in Grandma's house doesn't add up! Grades: 1-3. Classroom tested: Grades 2, 3.

Math insights: Students are surprised by the staircase patterns that emerge from concrete representations of missing number equations like __ + __ = 10.

Grade-specific activities: In grades 1-3: Students solve missing number equations like __ + __ = 10. They roll a die to get the first number and calculate the value of the second number; they represent the sums using two different colours of linking cubes (like 3 yellow and 7 green) and notice patterns (the linking cube representations form a staircase pattern); they compare concrete representations of __ + __ = 10 with those of missing number sentences with different sums (like __ + __ = 8 and __ + __ = 6).

Making 10 - Stage 2 Do Parallel Lines Meet?

The Big Bad Wolf helps Hoodie discover patterns on graphs when making sums of 10. But something in Grandma's house doesn't add up! Grades: 4-10. Classroom tested: Grades 4, 5, 7, 8.

Math insights: Students are surprised by the patterns that emerge when plotting pairs of missing numbers from equations like __ + __ = 10; how can we change the missing number equations so that the points line up in a different direction, or curve?

Grade-specific activities: In grades 4-8: Students solve missing number equations like __ + __ = 10. They roll a die to get the first number and calculate the value of the second number; t hey represent the pairs of missing numbers as ordered pairs and plot them on a grid. They notice patterns (the points form a line); they compare graphical representations of __ + __ = 10 with those of missing number sentences with different sums (like __ + __ = 8 and __ + __ = 6); they explore how we might change the missing number equations so that the points line up in a different direction, or curve? In grades 9-10: The above serves as introduction to linear and non-linear functions.

The Second Little Piggy and the Wolf are running on parallel paths, but are they destined to meet? Piggy discovers that parallel lines aren't as straight forward as she expected. Grades: 2-8. Classroom tested: Grades 2.

See how this story was used in grade 2.

Math insights: Students are surprised that two "straight" paths that both point North (two "parallel" lines) eventually meet; s tudents realize that concepts like "straight" and "parallel" are much more complex and interesting than they might have assumed.

Grade-specific activities: In grades 2-8: Lines on a sphere are typically not introduced to students in elementary school. Yet, students live and walk on a sphere on a daily basis (or an approximate sphere); students learn that lines on a sphere do not behave in the same fashion as lines on a flat surface.

Add it Up! Smart Multiplication

The Boy who cried 'wolf' learns how to add numbers in his head. But should he beware of wolves in sheep's clothing? Grades: 2-4. Classroom tested: Grades 2.

See how this story was used in grade 2.

Math insights: Students learn that flexible addition procedures help make mental addition easier (and more fun!).

Grade-specific activities: In grades 2-4: Students learn to add sums like 39+25 by first adding 40+25 and then subtracting 1; students are also introduced to other flexible addition procedures.

The Fox who said "sour grapes" finally gets the grapes, with some neat multiplication and with some help from Crow, and learns the value of helping others. Grades: 3-6. Classroom tested: pending.

Math insights: Students learn that flexible multiplication procedures help make mental addition easier (and more fun!).

Grade-specific activities: In grades 3-6: Students learn to multiply products like 19x6 by first multiplying 20x6 and then subtracting 6; students are also introduced to other flexible multiplication procedures.

Tortosie & Hare Hop to the Pond Wolf gets Hurt!

Hare challenges Tortoise to a rematch. Who's going to win the hop-to-the-pond race? Hare discovers that it's good probability thinking - and not good luck or good hopping - that wins the race. Grades: 1-8. Classroom tested: Grades 2, 3.

Math insights: When rolling a single die, each number is equally likely to occur; when rolling two dice, students are surprised that the sums are not equally likely; s tudents realize that some sums can be made more ways than others; for example, there is only 1 way to get 12 with two dice (6+6), while there are 6 ways to get 7 (1+6, 2+5, 3+4, 4+3, 5+2, 6+1).

Grade-specific activities: In grades 1-3: Rolling a singe die students race to the pond using bar graphs. Students repeat this for two dice; students compare their bar graphs and notice patterns; students practice addition facts to 12; students learn to use bar graphs to record and interpret data from probability experiments; while students in grades 1-3 are not typically expected to learn about probability with two dice, they do easily understand (and in our grade 2 classroom experience, suggest on their own) that 7 is more likely than 12 because there are more ways to get 7; it is important for young students to learn in situations that are mathematically rich and surprising. In grades 4-6: In addition to the above, students list all the possible ways of getting each sum (when rolling two dice). In grades 7-8: In addition to the above, students determine the theoretical probability for each sum (when rolling two dice) - for example, the theoretical probability for the sum of 12 is 1/36, and for 7 it is 6/36 or 1/6; students may also explore the theoretical probability when using dice with more than 6 sides, or when using three dice.

The Third Little Piggy sets a trap for the Big Bad Wolf and captures Wolf. The Three Little Piggies then explore different rectangular arrangements of 16 patio stones for the base of Wolf's pen. They also realize that their sloppy living habits have hurt Wolf's habitat. Grades: 2-8. Classroom tested: Grade 2, 3.

See how this story was used in grade 2.

Math insights: A rectangular patio made of 16 patio stones can be made using a variety of arrangements (1 by 16, 2 by 8, and 4 by 4); a lthough the number of patio stones (area) is always the same, the fence needed to surround the patio (perimeter) can change.

Grade-specific activities: In grades 2-3: Students use 16 snap cubes as the 16 patio stones. And they use a piece of string (the length of 18 snap cubes) as the fence that the Three Little Piggies have available; students follow along with the story and build the various rectangular arrangements possible with 16 patio stones; students record their findings in a table (available in the book), using numbers and diagrams; students develop an early understanding of multiplication: 1 by 16 = 16, 2 by 8 = 16, 4 by 4 = 16; students realize that arranging the 16 stones in different rectangular arrays leads to different distances around the patio (the same rectangular area can have different perimeters). In grades 4-6: In addition to the above, students explore what rectangular dimensions would lead to the greatest area, for a given perimeter. In grades 7-8: In addition to the above, students plot data (length versus perimeter and length versus area) on a grid and explore graphical patterns.

Who's the Big Bad Wolf?  

For Parents & Teachers

Someone is scaring young children away from math. Is it you? See the video and interactive content . Grades:2 to adult . Classroom tested: grade 2; teacher education.

Hoodie loves math, but overhears her Mom saying she hates it. So she dreams meeting the Big Bad Wolf, who offers her a math adventure. Will her Mom approve?