Pattern Blocks


Pattern Blocks are a repertoire of 6 shapes in 6 color - environment-friendly triangles, orange squares, blue parallelograms, tan rhombuses, red trapezoids, and also yellow hexagons. The shapes are designed therefore the sides are all the exact same length except for the trapezoid, which has 1 side the is double as long. This feature makes it feasible for the forms to swarm together and also provides because that a wide selection of explorations.

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SKILLSCountingEquivalenceGeometryPatternsSpatial VisualizationCompose & Decompose ShapesExplore Fractions



A collection of pattern Blocks consists of blocks in 6 geometric, color-coded shapes: eco-friendly triangles, orange squares, blue parallelograms, tan rhombuses, red trapezoids, and yellow hexagons. The relationships among the side measures and the angle steps make it very easy come fit the blocks with each other to make tiling fads that completely cover a level surface. The blocks are designed so that all the sides of the shapes are 1 inch other than the longer side that the trapezoid, i m sorry is 2 inches, or twice as lengthy as the various other sides. Other than for the tan rhombus, which has 2 angle that measure up 150°, every the shapes have angles whose measures are divisors the 360-120°, 90°, 60°, and 30°. Yet also the 150° angles of the tan rhombus relate to the various other angles, since 150° is the sum of 90° and 60°.

These features of Pattern blocks encourage investigation of relationships among the shapes. One special facet of the shapes is the the yellow block have the right to be covered exactly by placing together 2 red blocks, or 3 blue blocks, or 6 environment-friendly blocks. This is a herbal lead-in to the factor to consider of just how fractional components relate to a entirety - the yellow block. Once students job-related only with the yellow, red, blue, and also green blocks and the yellow block is favored as the unit, then a red block to represent 1/2, a blue block to represent 1/3, and a green block represents 1/6. Within this little world of fractions, students can build hands-on familiarity and intuition around comparing fractions, finding tantamount fractions, and changing improper fountain to combined numbers. They can likewise model addition, subtraction, division, and multiplication of fractions.

Pattern Blocks administer a visual photo which is necessary for real knowledge of portion algorithms. Countless students discover to do examples such together "3 1/2 = ?/2," "1/2 x 1/3 = ?" or 4 / 1/3 = ?" at a completely symbolic level. If they forget the procedure, they room at a complete loss. However students who have numerous presymbolic experience solving difficulties such as "Find how countless red block fit end 3 yellows and a red," "Find half of the blue block," or "Find how countless blue blocks cover 4 yellow blocks" will have a heavy intuitive structure to develop these an abilities on and to fall back on if memory stops working them.

Students do require ample time to experiment openly with sample Blocks before they begin an ext serious investigations. Many students can begin without extr direction, however some might need suggestions. Asking students to uncover the different shapes, sizes, and colors of sample Blocks, or questioning them come cover their desktops v the blocks or to discover which blocks have the right to be supplied to develop straight roads, can be great for starters.


As students begin to occupational with sample Blocks, they use them primarily to explore spatial relations. Young students have an initial tendency to work-related with others and also to copy one another"s designs. Yet even duplicating another"s pattern v blocks can expand a student"s suffer and capability to recognize similarities and differences, and it have the right to also provide a context for developing language regarded geometric ideas. Throughout their investigations, students have to be encouraged to talk around their constructions. Expressing your thoughts out loud help students clarify and also extend their thinking.

Pattern Blocks assist students explore plenty of mathematical topics, consisting of congruence, similarity, symmetry, area, perimeter, patterns, functions, fractions, and graphing. The adhering to are just a few of the possibilities:

When playing "exchange games" with the various sizes of blocks, student can develop an expertise of relationships between objects with various values such together coins or place-value models.When trying to recognize which blocks have the right to be put together come make one more shape, student can start to build a base because that the concept of fractional pieces. As soon as the block are supplied to fully fill in one outline, the principle of area is developed. If students discover measuring the same area using different blocks lock learn about the relationship of the size of the unit and also the measure up of the area.When investigating the perimeter of shapes made through Pattern Blocks, student can find that shapes with the exact same area can have various perimeters and also that forms with the exact same perimeter have the right to have various areas.When utilizing Pattern block to cover a flat surface, students can discover that some combinations that corners, or angles, fit with each other or have the right to be arranged approximately a point. Knowing that a full circle steps 360° permits students to find the assorted angle measurements.When detect how numerous blocks the the same color it take away to make a larger shape comparable to the initial block (which can be done through all yet the yellow hexagon), students can find the square number pattern-1, 4, 9, 16, ...

The usage of sample Blocks gives a perfect chance for really assessment. Watching students work with the blocks offers you a sense of exactly how they strategy a mathematical problem. Their thinking have the right to be "seen" through their positioning of the pattern Blocks. Once a course breaks increase into small working groups, you are able come circulate, listen, and also raise questions, all the while focusing on exactly how individual students room thinking.

The challenges that college student encounter as soon as working with Pattern Blocks frequently elicit unanticipated abilities from students whose power in much more symbolic, number-oriented work may it is in weak. Top top the various other hand, part students with great memories because that numerical relationships might have challenge with spatial challenges and also can an ext readily discover from freely exploring with pattern Blocks. By observing students" totally free exploration, you can obtain a sense of individual discovering styles.

Having students describe their creations and also share your strategies and also thinking v the whole class gives you another opportunity because that observational assessment. Together a following step, you might want to gather students" recorded job-related or invite lock to select pieces to include to their math portfolios.

Hands-On finding out with sample Blocks

Challenge students and maximize the use of pattern Blocks with Math Tasks!

All students, regardless of grade level, require time to become familiar through the pattern Blocks prior to being asked to focus on specific problems. This expedition time help students find relationships among the blocks. They discover that 2 red trapezoids have the right to be arranged to make a yellow hexagon, for example, or the 2 environment-friendly triangles are indistinguishable in area to a blue parallelogram. In addition to unstructured free exploration, the is possible to carry out structure for student"s early stage explorations. Pattern blocks are great for to teach ratio and also proportion at this great level.

Here are 3 tasks for acquiring to recognize Pattern Blocks and beginning to use them to learn and understand the math that they represent.

ActivityCurriculum StrandsTopics

Pattern blocks Pizza

Students usage Pattern block to construct the principle of equivalence while working informally with halves, thirds, and also sixths. This help them construct an intuitive expertise of probability.

Source: Math work Pattern Blocks qualities K-2



Probability & statistics






Frogs ~ above a Log

Student discover to write number sentences for word problems.

Source: identified Math Centers Card set Grade 1






Using Pattern block in the intermediary grades offers students spatial problem-solving experience, resulting in the usage of fountain notation to define what lock build. Pattern Blocks room also good for aligning geometry come number patterns. Various other excellent skills to teach utilizing these manipulatives are sorting, counting, comparing, and graphing.

Here are 3 activities for acquiring to know Pattern Blocks and to begin using them come learn and also understand the math that they represent.

ActivityCurriculum StrandsTopics

A Seat at the Table

Students investigate the perimeter that polygons and composite shapes in bespeak to fix problems. They likewise determine the perimeter that those shapes.

Source: Math work Pattern Blocks grades 3-5



Matching shapes

Transformational geometry

2-dimensional Shapes

Students will certainly classify and sort 2-dimensional shapes based upon attributes, utilizing formal language.

Source: Guided math Unit great 3



Spatial visualization

Pattern recognition

Patterns every Around

Students explore numerical and also geometric patterns.

Source: differentiated Math Centers Card collection Grade 4






Hands-on manipulatives continue to it is in an effective and powerful tool to construct understanding and also apply knowledge for students in the middle grades. Sample Blocks administer concrete examples to assist students visualize problems and also keep castle interested and also engaged in classroom lessons. Pattern Blocks have the right to be supplied to additional a deep knowledge of geometry, measurement, algebra, statistics and probability, and more.

Here room 3 tasks for acquiring to understand Pattern Blocks and beginning to use them come learn and understand the mathematics they represent.

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ActivityCurriculum StrandsTopics

Pattern Block Riddles

Students usage deductive thinking while working through fractions and also percents as they compare the area of geometric figures.