LESSON PLAN SCHOOL: FLAMINGO NAME: Shaun Wittes DATE: 03/AUG/2023 STUDENT NUMBER: 201900309 SUBJECT: GRADE: 7 MATHEMATICS Lesson topic: EXPONENTS 1. Situation analysis of the classroom context Develop positive relationships and attitudes with other peers. Engage learners and share their knowledge. Develop skills, understandings and attitudes. Develop team work skills. Reflect on their individual experiences 2. Draw a X over the intended aim(s) for your lesson: (a)identify and solve problems (d)work effectively as individuals and with others as members of a team (b)engage in critical and creative thinking (e)collect, analyse, organise and critically evaluate information (c)communicate effectively using visual, symbolic and/or language skills in various modes (f)science and technology effectively and critically showing responsibility towards the environment and the health of others g)demonstrate an understanding of the world as a set of related systems 3. Indicate the specific aims for your subject as it relates to your lesson: The only specific aim for this lesson is for the learners to understand the laws of exponents 4. Objective(s) for the lesson: - At the end of the lesson, the learners will be able to demonstrate how to solve expressions which consists of laws - The learners will be able to understand the laws of exponents 5. Teaching strategy: Direct teaching strategy The learners will be given the introduction of the topic, I will write down the important notes that the learners will need. The learners will be given examples from the examples, the learners will give or say their understanding of the topic or content. The learners will elaborate what they understand and then they will be given the activities to work independently with their peers 6. Introduction to the lesson: A good understanding of the Laws of Exponents is the key to being good at Algebra which forms the basis of all High School mathematics. Exponents and powers are ways used to represent very large numbers or very small numbers in a simplified manner. For example, if we have to show 3 x 3 x 3 x 3 in a simple way, then we can write it as 34 , where 4 is the exponent and 3 is the base. The whole expression 34 is said to be power. 7. Body: Learning content (See the CAPS) Sequencing of content Learning activities (List the activities learners will be engaged in) and pacing 1) What are exponents and powers 2) Exponential notation Exponents and powers involve repeated multiplication. Complete the following work Exponential notation provides an 1. 𝑎2 × 𝑎 efficient mathematical notation for 2. 2𝑦 × 4𝑦2 describing repeated multiplication. 3. 2𝑦2÷2y Exponential laws provide shortcuts 4. (𝑥2 ÷ 2𝑦) for working with powers and 5. 𝑎2 × 𝑎 exponents. Exponential growth 6. 7𝑎0 × 𝑎 describes the growth of things that change by doubling, tripling, halving, etc. like compound interest and the growth of bacteria. Look at these 2 examples: 2 × 2 × 2 ×2×23×3×3×3×3×3×3×3× 3 × 3 × 3 × 3 × 3 × 3 × 3 Do you see that it is difficult to read an expression where a number is multiplied by itself many times? It also takes up a lot of space. To deal with both problems, mathematicians invented exponential notation. Exponential notation involves a base and an exponent. There are two examples alongside. In the first example, the base is 2 and the exponent is 5. In the second example, the base is 3 and the exponent is 15. We write the exponent as a superscript. The base and exponent together form a power. We say “2 to the power of 5” or “2 to the exponent 5” or “2 to the 5” which means we are multiplying 2 by itself 5 times and we say “3 to the power of 15” or “3 to the exponent 15” or “3 to the 15” which means we are multiplying 3 by itself 15 times According to the definition, we can use any value as a base, except 0. Bases can be natural numbers, 3) What kinds of numbers can we use integers and even fractions. Here are some examples: for bases? 𝟐, 𝟏 (𝟑)𝟐 , (𝟐𝒙) 𝟐 4) The laws of exponents If we multiply the power of the same bases, (𝟑)𝟐 × (𝟑)𝟐 = 𝟑𝟐+𝟐 = (𝟑)𝟒 we add the exponents. If we divide powers of the same, we subtract the exponents. (𝟑)𝟐 ÷ 𝟑 = 𝟑𝟐−𝟏 = 𝟑 8. Assessment Complete the following table when planning for assessment: Teaching and learning topic Assessment task Exponents InFormal Assessment purpose (Form of assessment) Assessment approach Assessment method Assessment instrument Assessment tool The aim is to Observation Diagnostic Diagnostic Question track and understanding portfolio of the learners Include the questions that you will ask during the lesson to formatively assess learners: 1. Represent the following in simplest exponential form: a) 3x3x3x3x3x3x3 b) a x a x a x a x a x b x b x c c) c x c x c x m x m x m x p 2. Simplify the following a) 𝒂𝟐 x a x a x 𝒎𝟐x 𝒎𝟐 b) 𝟐𝒎𝟐 x 𝒎𝟐 9. Alignment • What should learners be able to demonstrate at the end of a learning experience? How the laws of exponents work when we solve an exponential expression • Which most suitable teaching and learning activities will enable learner engagement to attain the learning objectives? The learners will work in pairs I will bring media that will benefit the teaching and learning The learners will work in group • How will the successful attainment of the learning objectives be determined The successful attainment will be determined when I can observe that the learners master, knows how to demonstrate the work and understands the content 10. Teacher-learner participation Plot (“X”) and motivate the teacher-learner participation as you envisaged in your planning of the lesson on the continuum below. The lesson is learner centred, as throughout the lesson I will be asking questions and learners will be expected to answer and give solutions to question. And I will be facilitating the lesson. The learners will have the chance to ask, share or put inputs of their view in class. Teacher- centred Learner- centred 11. Conclusion of the lesson Exponents are the way to understand the algebraic expression for the grade and higher grades. The laws of exponents play a very important role on algebraic expressions. Simplifying, factorise and expansions, they are based from the laws of exponents.