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Algebra Lesson Plans & Activities8 chapters | 154 lessons

Instructor:
*Christopher Muscato*

Chris has a master's degree in history and teaches at the University of Northern Colorado.

With this lesson plan, your students are going to practice using the FOIL method to multiply binomials. They will create foil-covered tiles that can be used to help them visualize the FOIL method, and which can also be used to teach the area method.

Upon completion of this lesson, students will be able to:

- Explain and apply the FOIL to the multiplication of binomials
- Multiply exponents and variables, combine terms, and simplify equations
- Compare and contrast the FOIL and area methods

60-90 minutes

- CCSS.MATH.CONTENT.HSN.CN.C.8

(+) Extend polynomial identities to the complex numbers. For example, rewrite x2 + 4 as (x + 2i)(x - 2i).

- CCSS.MATH.CONTENT.HSA.APR.C.4

Prove polynomial identities and use them to describe numerical relationships. For example, the polynomial identity (x2 + y2)2 = (x2 - y2)2 + (2xy)2 can be used to generate Pythagorean triples.

- CCSS.MATH.CONTENT.HSA.APR.C.5

(+) Know and apply the Binomial Theorem for the expansion of (x + y)n in powers of xand y for a positive integer n, where x and y are any numbers, with coefficients determined for example by Pascal's Triangle.1

- Copies of the lesson quiz
- 4 cardboard squares for each student
- Tin foil
- Dry or wet erase markers
- Glue sticks
- Tissue paper or paper towels
- Multiplying binomials worksheet

- Start class by reviewing basic concepts of order of operations, as well as how to multiply exponents.
- Begin video lesson Multiplying Binomials Using FOIL & the Area Method: Practice Problems. Instruct students to write out equations as they appear in the video.
- Pause video at 2:26 and review this information.
- What does the acronym FOIL stand for?

- Write the equation (x + 6)(x - 6) on the board (this is the same equation from the lesson) and go through the FOIL method again as a class.
- Resume the video, and pause it at 3:41. Discuss this information as a class.
- What is the area method? How is it different from the FOIL method?

- Write (2x + 5)(2x +5) on the board (this is the equation from the lesson that was solved using the area method), and ask students to solve it using the FOIL method on their own paper. Give students a minute to do so, then walk through it as a class.
- Resume and complete the video.
- You may test student understanding using the lesson quiz.

- Give each student tin foil, four cardboard squares, glue sticks, and paper towels or tissues. Ask students to use the glue sticks and foil to cover each cardboard piece, creating four foil-covered tiles.
- Give students vis-a-vis markers. Instruct them to write ''First'' on one tile, ''Outside'', ''Inside'', and ''Last'' on the others, and arrange them in the FOIL order.
- Write (2x - 5)(5x +7) on the board. Ask students to resolve this equation using the FOIL method. To do so, they will write out the elements of the FOIL equation on the corresponding foil-covered tiles, keeping the tiles in a straight line. Once students have done this, have them write out the resulting equation and then combine the terms for the simplest answer.
- Show students how the FOIL tiles can be easily rearranged into the 2x2 chart of the area method. Have them erase the numbers on the tiles, and write a new equation on the board (8x - 3)(3x- 4). Since students' tiles are already arranged in the area method chart, ask students to solve this equation using the area method. Once they have, rearrange the tiles back into the FOIL order.
- Divide the class into pairs, and give each pair a worksheet of binomial multiplication equations to work through using their FOIL tiles. Make sure this worksheet contains some binomials with exponents, some with both
*x*and*y*variables, etc.

- If your class benefits from hands-on, crafty activities, there are many ways to subtly alter this lesson and make the tiles more engaging. Here are a few:
- Have students glue magnets to the back of each tile so they can arrange and re-arrange their tiles on the board.
- Write the FOIL acronym on the cardboard tiles using regular glue, as well as any decorative shapes or designs that students desire. Once the glue dries, cover the tiles in tin foil and have students gently rub/press the foil against the raised glue, leaving an imprint in the foil that looks like artistic tin work.
- Let students color their tiles with markers or paint.

Multiplying Binomials Using FOIL and the Area Method

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Algebra Lesson Plans & Activities8 chapters | 154 lessons

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