Students practice this problem that needs a certain amount of experimentation (trial and error) to get any answer at all. In the process they practice their basic number facts. However, to get the complete set of answers Students need to...

Inquiry-based learning and investigations form the basis of a deep understanding of quadratic functions in a very thorough unit plan.  Learners develop recursive and closed methods for representing real-life situations,...

Students discover which regular polygons can be used to tile a plane.

Fifth graders use the guess and check technique to solve a problem involving transformations. They work with a grid and criteria provided by the teacher to solve a sequence with black and white rows.

Students use tiles to find area. In this finding area instructional activity, students explore how to use square tiles to make shapes, then look at how they can be used to measure area. Students then explore how an area can be covered...

Students visualize polynomials using algebra tiles.

Geometers investigate patterns and symmetry, and examine the artwork of M.C. Escher on the Internet. They compare his style to the floor and ceiling tiles in the classroom. If you have ImageBlender™ software, you could have your...

Learners form rectangles by using tiles, measure area and perimeter by counting. They discover and apply rules for measuring perimeter.

Fourth graders use square tiles to help them explain the concept of square numbers.

Students create an art piece incorporating tessellating shapes, translational symmetry, reflectional symmetry,and or rotational symmetry. They are asked if they know the definition of tessellation. If so, students are asked what shapes...

Students factor trinomials. In this algebra lesson, students use special patterns and formulas to factor. They utilize algebra tiles as a hands-on method for gaining practice with trinomials.

Learners solve integers using addition. In this algebra lesson, students add integers using counters. They define and label patterns created by integer operations.

Students explore arithmetic and numerical patterns. After observing a teacher created function box, students describe a pattern and predict what will "come out" of the function box. They explore patterns such as geometric shapes,...

First graders use patterns in order to identify and recognize even and odd numbers.

Students notice a number pattern in the book The Rabbit Problem by Emily Gravett. For this number pattern lesson, students represent and describe numbers appropriate to their grade level.

Students are introduced to the vowel pattern that produces the /oo/ sound in words. Through matching, listening, and spelling activities, students recognize the phoneme /oo/ and its placement in words. They read a passage with words...

Young scholars identify shapes that will tessellate. They construct a tessellation using transformations. Students identify transformations in tessellations. They identify applications of transformations such as tiling and fabric design.

In this interactive lesson, students review attributes of equilateral polygons. They are introduced to the concept of a tessellation. Using protractors and pre-cut shapes, students arrange a variety of tiles to create tessellations. They...

Students complete multiple activities to help them hear sounds, syllables, and spell words with vowel patterns, digraphs, or blends. In this word sounds lesson, students use letter tiles, sort words cards, analyze poems, and play a bingo...

Learners factor trinomials using patterns and their TI to graph their results and make predictions through this lesson plan. This is accomplished by solving quadratic equations through FOIL and algebra tiles.

Students examine patterning in Chinese and Japanese artwork prior to creating their own tessellations using styrofoam plates in this creative cross-curricular lesson for upper-elementary/middle level classrooms.

Fourth graders solve a series of parallel problems. They use statistics, geometrical, and numerical aspects to solve the problem. Students create a pattern that answers the problem.

Third graders are given square tiles and participate in a demonstration on how to arrange them. Using the tiles, they work with a partner to discover how many two-dimensional tetrominoes they can create. To end the lesson, they must...

Students complete a chart (KWL) as a pre-assessment, study the history of tessellations (tilings), investigate the properties of tessellations, and make and evaluate photographs of "found tessellations" for a PowerPoint/HyperStudio...