Write 10 page essay on the topic Algebraic Reasoning.

For creating interest, the students will see a demonstration using two sets of cubes: one set is red, the other is green. For example, if the number of red cubes on the left side is 8 and the number of green cubes on the right side is 5, how much green cubes must be added to make it 8 and equal to the number of red cubes

The teacher will ask the students to write reflective journals on the lesson learned. This should be typewritten. The teacher will gather everything before the next lesson starts. This way, the teacher could offer feedbacks and assess how the students feel about the subject and teaching style.

The main motive of this lesson is to make students simplify algebraic expressions. This is a fundamental skill. The lecture will be done within 30 minutes, so that the remaining time will be devoted to answering the worksheet and exercise sets.

For creating interest, the students shall watch a short clip of how a jigsaw puzzle looks like when unarranged. When the pieces are put together, a coherent and beautiful picture appears. This will be the analogy that shall be imparted as to why algebraic expressions should be simplified.

The teacher shall quickly discuss algebraic axioms and properties. Using these, he shall give simple and difficult examples of expressions that need to be simplified. …

The main motive of this lesson is to make students simplify algebraic expressions. This is a fundamental skill. The lecture will be done within 30 minutes, so that the remaining time will be devoted to answering the worksheet and exercise sets.

Standards addressed and expectations of students:

Knowledge is imparted via a lecturer. Students will learn by doing. Several easy and difficult examples shall be given, and the fundamental importance of this skill shall be emphasized.

Anticipatory Set:

For creating interest, the students shall watch a short clip of how a jigsaw puzzle looks like when unarranged. When the pieces are put together, a coherent and beautiful picture appears. This will be the analogy that shall be imparted as to why algebraic expressions should be simplified.

Teaching/Instructional Process:

The teacher shall quickly discuss algebraic axioms and properties. Using these, he shall give simple and difficult examples of expressions that need to be simplified. The above shall be done in 30 minutes. After which, the students shall be given work sheets to ask. Students are free to ask questions if they encounter problems, or that the nature of a problem is beyond what the teacher has taught.

Guided practice and monitoring:

The teacher shall provide personalized tutoring during the work sheet activity.

Closure:

The students shall reiterate the importance of keeping things simple.

Independent Practice:

The teacher will ask the students to write reflective journals on the lesson learned. This should be typewritten. The teacher will gather everything before the next lesson starts. This way, the teacher could offer feedbacks and assess how the students feel about the subject and teaching style.