1 of 30

FILL YOUR BAG

A routine involving polygons and fractions

2 of 30

This routine relies on the use of pattern blocks, and it is recommended that students have the blocks in their hands. Some of the slides use 21st century blocks, but not all.

An answer is provided on each slide. It may be the only answer, but oftentimes, there is more than one answer. It will offer a great opportunity for discourse for students to prove answers other than the one provided.

3 of 30

Can you fill your bag to match the clues?

There should be less than 5 blocks in your bag.

⅔ of the polygons have four vertices.

⅔ of the bag is regular polygons.

⅓ of the polygons are made up of three line segments.

⅓ of the polygons have the same area as a green triangle, but are not a green triangle.

This is one possible solution. Can you find any others?

4 of 30

Can you fill your bag to match the clues?

There should be less than 5 blocks in your bag.

¼ of the bag have only three sides.

½ of the bag have four vertices.

All of the shapes are regular polygons.

This is one possible solution. Can you find any others?

5 of 30

Can you fill your bag to match the clues?

There should be less than 5 blocks in your bag.

½ of the bag has three pairs of parallel sides.

½ of the bag is a polygon that contains a right angle.

½ of the bag is a polygon with three vertices.

This is one possible solution. Can you find any others?

6 of 30

Can you fill your bag to match the clues?

There should be less than 5 blocks in your bag.

⅓ of the bag has all right angles.

All of the polygons have four vertices.

⅔ of the bag have only one pair of parallel sides.

This is one possible solution. Can you find any others?

7 of 30

Can you fill your bag to match the clues?

There should be less than 5 blocks in your bag.

¼ of the bag is a polygon with only one pair of parallel sides.

½ of the bag have shapes with all sides congruent.

All of the shapes have four sides.

¼ of the polygons is a kite.

This is one possible solution. Can you find any others?

8 of 30

Can you fill your bag to match the clues?

There should be less than 4 blocks in your bag.

⅔ of the polygons are concave.

⅔ of the polygons are quadrilaterals.

⅓ of the bag has one set of parallel sides.

⅓ of the polygons are hexagons.

This is one possible solution. Can you find any others?

9 of 30

Can you fill your bag to match the clues?

There should be more than 3 blocks in your bag.

¼ of the bag have only one line of symmetry.

½ of the polygons have the area of one equilateral triangle.

¾ of the polygons have two pairs of parallel sides.

¼ of the bag is concave.

This is one possible solution. Can you find any others?

10 of 30

Can you fill your bag to match the clues?

There should be less than 5 blocks in your bag.

3/3 of the bag has an hypotenuse.

This is one possible solution. Can you find any others?

11 of 30

Can you fill your bag to match the clues?

There should be less than 4 blocks in your bag.

⅓ of the bag has one right angle.

⅓ of the bag has the area of four equilateral triangles.

⅓ of the bag has one set of parallel sides.

This is one possible solution. Can you find any others?

12 of 30

Can you fill your bag to match the clues?

There should be less than 6 blocks in your bag.

⅗ of the bag has four vertices.

⅕ of the polygons have four right angles.

⅖ of the polygons have just one line of symmetry.

⅕ of the polygons have three sets of parallel sides.

⅕ of the bag is a regular polygon with exactly three sides.

This is one possible solution. Can you find any others?

13 of 30

Can you fill your bag to match the clues?

There should be less than 4 polygons in your bag.

½ of the bag has the area of three equilateral triangles.

½ of the bag has the area of a trapezoid and one equilateral triangle.

½ of the bag is concave.

This is one possible solution. Can you find any others?

14 of 30

Can you fill your bag to match the clues?

There should be less than 6 blocks in your bag.

3/3 of the polygons are quadrilaterals.

⅓ of the polygons have only right angles.

All of the polygons have congruent sides.

None of the polygons are exactly the same.

This is one possible solution. Can you find any others?

15 of 30

Can you fill your bag to match the clues?

There should be more than 5 blocks in your bag.

2/3 of the bag is quadrilaterals.

⅓ of the polygons contain right angles.

⅓ of the polygons are concave.

⅓ of the quadrilaterals contain two pairs of congruent angles.

½ of the polygons have the area of two green equilateral triangles.

This is one possible solution. Can you find any others?

16 of 30

Can you fill your bag to match the clues?

There should be less than 6 blocks in your bag.

½ of the polygons are hexagons, and ½ are triangles.

¾ of the polygons have at least one line of symmetry.

¼ of the polygons have only one right angle.

None of the polygons are concave.

This is one possible solution. Can you find others?

17 of 30

Can you fill your bag to match the clues?

There should be less than 6 blocks in your bag.

½ of the polygons are rhombi, and ½ are triangles.

¾ of the polygons have more than one line of symmetry.

¼ of the polygons contain a right angle.

None of the polygons are concave.

½ of the polygons have the area of two green triangles.

This is one possible solution. Can you find others?

18 of 30

Can you fill your bag to match the clues?

There should be less than 8 blocks in your bag.

⅔ of the polygons are hexagons.

⅔ of the polygons are regular.

⅓ of the polygons are concave.

⅓ of the polygons have four right angles.

This is one possible solution. Can you find any others?

19 of 30

Can you fill your bag to match the clues?

There should be more than 4 blocks in your bag.

⅖ of the polygons are hexagons.

⅖ of the bag is regular polygons.

⅗ of the polygons are quadrilaterals.

All of the polygons have at least one line of symmetry.

⅘ of the bag is convex polygons.

This is one possible solution. Can you find any others?

20 of 30

Can you fill your bag to match the clues?

There should be less than 10 blocks in your bag.

2/7 of the polygons have an area of two green triangles.

1/7 of the polygons is a regular polygon with exactly 3 sides.

4/7 of the polygons are convex and have 6 vertices.

This is one possible solution. What other answers can you find?

21 of 30

Can you fill your bag to match the clues?

There should be more than 5 blocks in your bag.

The bag is ⅓ triangles, ⅓ hexagons, and ⅓ quadrilaterals.

½ of the bag are polygons with all sides congruent.

⅓ of the polygons are concave.

⅙ of the bag is a polygon with one right angle.

This is one possible solution. What other answers can you find?

22 of 30

Can you fill your bag to match the clues?

There should be less than 10 blocks in your bag.

⅙ of the polygons have six vertices.

½ of the polygons have four angles.

⅓ of the polygons have an hypotenuse.

0/6 of the polygons are concave.

⅓ of the polygons are rhombi, but they are not identical.

⅙ of the polygons have two pairs of adjacent, congruent sides.

½ of the polygons contain at least one right angle.

This is one possible solution. What other answers can you find?

23 of 30

Can you fill your bag to match the clues?

There should be less than 7 blocks in your bag.

The bag only contains quadrilaterals.

⅕ of the bag contains a polygon with two pairs of parallel sides.

⅘ of the bag contains polygons with two pairs of adjacent, congruent sides.

This is one possible solution. What other answers can you find?

24 of 30

Can you fill your bag to match the clues?

There should be more than 5 but less than 10 blocks in your bag.

¼ of the bag have only three vertices

½ of the bag are regular polygons

¾ of the bag have all sides that are congruent in length.

¼ of the bag have only one pair of parallel lines.

¾ of the bag are quadrilaterals.

½ of the bag has the area of a green triangle.

½ of the bag are quadrilaterals that do not have four congruent angles.

This is one possible solution. Can you find any others?

25 of 30

Can you fill your bag to match the clues?

There is an even number of blocks less than 10 in your bag.

The bag only contains quadrilaterals.

⅚ of the bag is rhombi.

⅙ of the bag only has one line of symmetry.

⅙ of the bag is a polygon with adjacent congruent sides.

This is one possible solution. What other answers can you find?

26 of 30

Can you fill your bag to match the clues?

There should be less than 15 blocks in your bag.

1/11 of the polygons have only 1 pair of parallel sides.

7/11 of the polygons have just one line of symmetry.

2/11 of the polygons are concave.

4/11 of the polygons are made up of three line segments.

2/11 of the polygons have hypotenuses.

7/11 of the polygons are quadrilaterals.

4/11 of the polygons are kites.

This is one possible solution. What other answers can you find?

27 of 30

Can you fill your bag to match the clues?

There should be more than 5 but less than 10 blocks in your bag.

This bag only contains regular polygons.

The bag has the same number of each type of polygon it contains.

The bag contains three different polygons.

This is one possible solution. Can you find any others?

28 of 30

Can you fill your bag to match the clues?

There should be less than 10 blocks in your bag.

¼ of the bag have only three sides.

⅝ of the bag have four vertices.

⅝ of the bag are regular polygons.

¼ of the bag have only one pair of parallel sides.

⅛ of the bag is concave.

⅛ of the bag has six vertices.

This is one possible solution. What other answers can you find?

29 of 30

Can you fill your bag to match the clues?

There should be less than 15 blocks in your bag.

⅓ of the blocks have three line segments and two of them meet perpendicularly.

½ of the polygons have three vertices, and the other half have four vertices.

⅓ of the bag is full of regular polygons

⅙ of the polygons have only one pair of parallel sides.

⅙ of the polygons are concave.

This is one possible solution. What other answers can you find?

30 of 30

Can you fill your bag to match the clues?

There should be more than 4 blocks in your bag.

⅖ of the bag are regular quadrilaterals.

⅖ of the bag are concave.

⅕ of the bag is a kite.

⅖ of the bag are hexagons.

This is one possible solution. Can you find any others?