A Learning Activity is a strategy a teacher chooses to actively
engage students in learning a concept or skill using a digital tool/resource.
You may save this Learning Activity to your hard drive as an .html file by
selecting “File”,then “Save As” from your browser’s
pull down menu. The file name extension must be .html.
Phase:
During/Explore/Explain
Activity:
The instructions for students are included as part of the Google Doc. The teacher will need to provide a copy of the document to each student using Google Classroom, or by providing a hard copy. The teacher will provide Algebra Tiles. Other materials may be provided by the teacher or the students based on the teacher's discretion.
Students will be able to factor quadratic trinomials using Algebra Tiles and will draw a representation of such models in order to create a Mondrian inspired piece of art. This activity is a great tool for having students independently practice factoring Quadratic trinomials through the use of Algebra tiles, therefore producing an equivalent form of the Quadratic expression. Students will factor given trinomials and draw the corresponding area models on graph paper to demonstrate an understanding of factoring. Students will be able to determine if factoring is correct by inspecting the model. Because students will be creating area models, they will be able to interpret the various parts of the expression easily, such as the coefficients, factors, and constants. The end product will be a creative representation of the factoring, which will also incorporate the artwork of Piet Mondrian. Students will work independently.
Assessment Strategies:
The final product can be used by the teacher to determine whether or not student mastered being able to factor quadratic equations by modeling.
Advanced Preparation:
As an introduction, you may want to quickly show a few of Mondrian's works and relate those to models using the Algebra Tiles.
You will need to provide a copy of the activity in Google Classroom or Docs. If students do not have access to technology, you can project problems on the projector, or give each student an individual copy.
Each student will need a piece of graph paper or a printed grid in order to draw models.
The teacher will need to have Algebra Tiles accessible.
The teacher may provide colored pencils or markers or have students bring their own coloring supplies.
Variation Tips (optional):
Could be adapted for lower grades by using area models rather than models using Algebra Tiles.
Quadratic trinomials with negative terms could be incorporated by changing the equations and adding red to represent the negative factors.
Notes or Recommendations (optional):
This activity can be completed independently or with partners. You can allow students to use Algebra tiles in order to allow kinesthetic learners to build models before drawing them.
Keywords and Search Tags:
area models, factoring, models, quadratic, trinomials