PROVINCE:
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TEACHER’S NAME:
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DURATION: / 1 Hour
  1. TOPIC: ALGEBRAIC EXPRESSIONS: Expand and simplify algebraic expressions(Lesson 4)

  1. CONCEPTS & SKILLS TO BE ACHIEVED:

By the end of the lesson learners should know and be able touse commutative, associative and distributive laws for rational numbers and laws of exponents to:
  • determine squares, cubes, square roots and cube roots of single algebraic terms or like algebraic terms
  • determine the numerical value of algebraic expressions by substitution.

  1. RESOURCES:
/ DBE workbook 1, Sasol-InzaloBook 1,textbook
  1. PRIOR KNOWLEDGE
/
  • squares, cubes, square roots, cube roots
  • laws of exponents
  • properties of 0

  1. REVIEW AND CORRECTION OF HOMEWORK (suggested time: 10 minutes)

Homework provides an opportunity for teachers to track learners’ progress in the mastery of mathematics concepts and to identify the problematic areas, which require immediate attention. Therefore, it is recommended that you place more focus on addressing errors from learner responses that may later become misconceptions.
  1. INTRODUCTION (Suggested time: 10 Minutes)

Let learners complete the following activities in pairs and report back in a class discussion:
Note:
In the class discussion let learners discuss the concepts squares, cubes, square root and cube roots and let the learners share their methods of how they arrive at the answers.
Activity 1
Complete the table.
/ /
/

squared / cubed / cubed
/ / /
Activity 2
Complete the table.
Value / Check your answer






Activity 3
Complete the diagram below

a)

b)

c)

d)
  1. LESSON PRESENTATION/DEVELOPMENT (Suggested time: 20 minutes)

Teaching activities / Learning activities
(Learners are expected to:)
Activity 1
Present the following activities to learners and discuss multiplication and division having terms containing exponents.
a)


Or



Thus
b)


Or



Thus
Note:
Emphasis the following:
  • it is important to know the laws of exponents because it helps with the determining or simplifying of expressions,
  • addition has commutative and associative properties but subtraction do not,
  • answers should always be written in a positive exponential form.
Activity 2
Discuss the following problems using the laws of exponents.
a)
b)
c)
Activity 3
Let learners do the following activity individually and report to the class.
Use the expression to answer the questions:

a)Simplify the expression by adding like terms.
b)Write the expression in descending powers of the variable.
c)What is the degree of the expression?
d)Write down the value of the constant term.
e)Write down the coefficient of .
f)What is the value of the expression if ? /
  • engage in class discussion
  • complete individual activities
  • report back in class discussion

  1. CLASSWORK (Suggested time: 15 minutes)

DBE Workbook 1, pg. 67, no. 4; pg. 69 no. 4, pg. 91, no. 3; pg. 97, no. 1
  1. CONSOLIDATION/CONCLUSION & HOMEWORK (Suggested time: 5 minutes)

a)Emphasise that:
  • it is important to know the laws of exponents because it helps with the determining or simplifying of expressions,
  • addition has commutative and associative properties but subtraction do not,
  • answers should always be written in a positive exponential form.
b)The primary purpose of Homework is to give each learner an opportunity to demonstrate mastery of mathematics skills taught in class. Therefore Homework should be purposeful and the principle of ‘Less is more’ is recommended, i.e. give learners few high quality activities that address variety of skills than many activities that do not enhance learners’ conceptual understanding.
Carefully select appropriate activities from the Sasol-Inzalo Books, DBE workbooks and/or textbooks for learners’ homework. The selected activities should address different cognitive levels.
Recommended Homework:
DBE Workbook 1, pg. 67 no. 5; pg. 69 no. 5; pg. 91, no. 4; pg. 97, no. 2

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