Unit 2 Algebraic Thinking
2.1 Number Patterns, Algebrization
- Describe the relationship of ‘Arithmetic & Algebra’. Explain the concept of ‘variable’ with the help of an example. Describe an activity you would undertake with children of class 6 to explain the concept of variable. (3+3+4=10) (2016)
- How is the number pattern helpful in developing Algebraic thinking in students? Explain using an activity. (5) (2018)
2.2 Functional Relations
- What is a functional relation? Explain with suitable examples. Write the significance of functional relation in your own words. (1.5+3.5=5) (2022)
2.3 Constants and Variables
- Explain the term ‘Generalisation’ in the context of introducing variables. How will you teach the solution of linear equations in one variable? Explain with two suitable examples. (3+3+4=10) (2016)
- What are ‘Variables & Constants’? How will you teach the concept of variables to students of class 6? Explain with suitable activity. (2+3=5) (2017)
- Explain the term ‘Generalisation’ in the context of introducing variables. Give details of two activities you would plan to help children understand the concept of variables. (2+8=10) (2018)
- What do you mean by “Variables & Constants”? Give examples of each. Discuss any two activities that you would undertake to teach the concept of variables to students of class 6. (2+2+6=10) (2019)
2.4 Forming and Solving Simple Linear Equations
- How will you teach the solution of linear equations with one variable, with the help of suitable activity? (5) (2017)
- How will you teach the solution of linear equations in one variable to the students? Give suitable activities. (5) (2019)
- What is a simple linear equation? Express the method of forming it. How will you plan teaching some of the methods of solving linear equations in your class? Explain with a simple example. (2.5+5+2.5=10) (2022)
- What is the difference between Algebraic Equation and Expression? How will you introduce the concept of Algebraic Expression in class 7? (5) (2022)
2.5 Mathematical Investigations/ Puzzles that rely on Algebraic Thinking
- Choose any two puzzles based on algebraic thinking. How they are useful to develop algebraic thinking. (2+3=5) (2016)
- What is algebraic thinking? Discuss various types of mathematical problems that are solved by applying algebraic thinking. (2+3=5) (2017)
- What do you mean by algebraic thinking? Write any three types of mathematical problems that can be solved by using algebraic thinking. (2+3=5) (2019)
- What is algebraic thinking? Is it different from critical thinking? How does algebraic thinking help you in understanding:
a) Geometrical concept related word problem
b) Puzzle
Explain with examples. (10) (2022)
