Section 1: Lesson Preparation

Teacher Candidate Name: XXX

Grade Level: 8

Date: 26/10/2022

Subject: Mathematics

Instructional Plan Title: Introduction to differentiation

Lesson Summary and Focus: This lesson centrally focuses on introduction to differentiation, recaps on prerequisite knowledge and some basic techniques for differentiation. Additionally, it will guarantee that the pupils can meet the standards set by the common core for differentiation students in the eighth grade.

Classroom and Student Factors. Diana, one of the students in the class is one grade lower than her fellow classmates; she may lack the pre-requisites for learning differentiation.

Enrique is one grade below in reading and at grade level in mathematics. His IEP is ADHD. Enrique will have flashcards with differentiation formulas which he will be allowed to use throughout the lesson.

The rest of the students are at grade level in reading and math and are English language learners.

National/State Learning Standards: Define, evaluate and compare functions

Understand that a function is a rule that assigns each input to exactly one output

Define the derivative of a function as a limit

Differentiate simple functions

Specific Learning Targets: By the end of the lesson, the learner should be able to:

-Relate differentiation with rates of change.

-Perform simple calculations involving limits and

-State the definition of a derivative as a limit

Academic Language: Function

Limit

Differentiation

Derivative

I will use an example of a previously learnt function e.g., y=mx+c to define that a function is a relation from a set of inputs to a set of outputs; I’d then define a limit as the output of a function as the variable approaches a certain value. I will relate differentiation to rates of change to enhance the understanding of the learners.

Resources, Materials, Equipment, and Technology: Textbooks

Video tutorials

Flashcards

charts

whiteboard

Instructional Planning

Anticipatory Set

I will do a recap on prerequisite knowledge on functions and limits

I will introduce the lesson by asking them if it is possible to find out how fast a runner is accelerating a few exact seconds after the starting gun, listen to their responses and introduce differentiation as rate of change.

I will then allow them to watch a video tutorial on introduction to differentiation

15 minutes

Multiple means of Representation

20 minutes

Multiple Means of Engagement

Explain how to differentiate activities in different groups Vocabulary acquisition

I will use an example of a previously learnt function e.g., y=mx+c to define that a function is a relation from a set of inputs to a set of outputs; I’d then define a limit as the output of a function as the variable approaches a certain value. I will relate differentiation to rates of change to enhance the understanding of the learners.

Direct instruction

I will use an example of a simple equation of a known line to demonstrate to the learners the concept of differentiation

Concept attainment

I will then ask the students to calculate the gradient of the line and compare the value with what the value after differentiation. This will enable them to relate differentiation to rates of change

20 minutes

Multiple means of Expression

I will write examples on the board and ask leaners to volunteer to work out on the board, applaud them when they get it write and correct them when they are wrong.

I will give flashcards containing functions and others containing derivatives and ask the learners to match the functions with their derivatives. This will assist to assess the learner with ADHD in another method apart from oral.

I will give exercises to be done individually and in groups to test their understanding

15 minutes

Extension activity and homework

The learner who was one grade below will be assigned extra work on pre-requisite knowledge to improve their understanding.

All the learners will be assigned online gamified homework on the topic for practice to reinforce their understanding. (Link at the end of the lesson plan)

I day

Links

https://www.youtube.com/watch?v=9AI3BkKQhn0https://quizizz.com/admin/quiz/58904cb7f712a7f17d4ba857/differentiationhttp://www.corestandards.org/Math/Content/F/Rationale

The instructional modes used in the lesson; vocabulary acquisition, direct instruction and concept attainment meet the diverse learning needs of the class profile as these modes of instruction incorporate all types of learners i.e., visual auditory and kinesthetic. To meet the class profile needs, different learning styles and treatment can also be included in assessment (Magazine, 2016). For the concept attainment mode, when learners are able to draw conclusions by themselves, they develop a more in-depth understanding in the topic.

The instruction and assessment method meet the development needs of the learners as instructions are individualized to meet the needs of specific learners like fore the case of the student with ADHD, multi-colored flashcards with instructional content material will be used to help capture and maintain their attention and focus. The assessments used in the multiple means of expression will give the learners an opportunity to demonstrate what they already know and what they have understood giving the teacher a rubric for assessment hence influencing and strengthening future instructional decision. (Kovac, 2021)

The technological resources used include; video tutorials and online quizzes. These resources engage students and break the monotony of direct instruction. The online quizzes are set in in a game-like environment. This motivates the learners to do more practice hence enhancing learning.

To sum up, to meet the diverse learning needs of the learners, multiple modes of instruction and assessment are used to ensure smooth learning process in the classroom and al the learners needs are met.

References

Kovac, L. (2021, August 30). Multiple Means of Action or Expression. Accessibility for Ontarians with Disabilities Act (AODA). https://www.aoda.ca/multiple-means-of-action-or-expression/

Magazine, S. (2016, October 21). INDIVIDUALIZING INSTRUCTIONAL STRATEGIES TO MEET THE DIVERSE NEEDS OF LEARNERS. Seen Magazine. https://www.seenmagazine.us/individualizing-instructional-strategies-to-meet-the-diverse-needs-of-learners/