Unknown numbers and their properties and also situations where there is a need to represent an unknown number by a symbol.
Simple algebraic expressions and equations in situations that are relevant for pupils.
Methods of solving simple equations.
How patterns in number sequences and geometrical patterns can be constructed, described and expressed.
Strategies for mathematical problem-solving in everyday situations
Mathematical formulation of questions based on everyday situations.
Objectives: The students will begin to learn Algebra. For this lesson they will focus on using letters as numbers. Identify the unknowns in an equations.
Objectives: The main focus on this lesson is to have students combine like terms (terms that have the same letter) and expanding brackets.
You may have to remind students how to add negative numbers again.
Show the problem 2(a + 4). Ask the class what they think this expression means. Talk about and explain that it is 2 sets of a + 4 or 2
a + 2 4 or 2a + 8.v + 5v + v - v
Explain that in this expression there are 4 like terms so we can actually add/subtract them.6 – 7b + 1 + b
Explain that in the expression above there are 2 pairs of like terms.
(+6, +1)
(-7b, +b)
Let’s don’t forget that the sign in front of the variable is attached with the variable!
Objective: This lesson will have students solving expressions. They will be given a value for 1 or more of the variables in the expression.
Lesson:
Work In Class:
Textbook: Page 74 (Q. 5 - 20). Page: 81, 82, 83, 84, 85
Lesson: Equations contain an equal sign. The focus of this lesson is to isolate the variable on one side of the equation. The can be done by using the ‘change side, change sign’ rule. We inverse (opposite) operations to cancel out the terms on the side with the variable. Whatever you do to one side, you must also do to the other side. Ex 1: a + 2 = 10 a = 10 - 2 a = 8 Work in Class: Support: Extension:
Lesson: This lesson will be a continuation of the last lesson but will progress to two-step equations. Example: 2a + 5 = 13
Work in Class:
Extension:
We will be reviewing all the content that was covered this week
Lesson Objective: Students will be solving expressions. They will be given a value for 1 or more of the variables in the expression and follow the steps to solve.
Lesson Objective: Students will be substituting into formulas and solving for the amount of variables.
Lesson Objective: Have students practice learned algebra skills in the form of real life word problems
Lesson Objective: Review topics related to what the students have learned in the algebra unit so far.