Introducing Algebra for Year 7
Understanding Variables and Simple Equations Building Mathematical Thinking Skills UK National Curriculum - Year 7 Mathematics
What is Algebra and Why Do We Need It?
Algebra helps us solve real-world problems It's the language of mathematics and science Used in technology, engineering, and everyday life Builds logical thinking and problem-solving skills Foundation for advanced mathematics
Discovering Variables - The Mystery Number Game
Think of a number Add 5 to your number Your result equals 12 What was your original number? Let's call the mystery number 'x'
Understanding Variables
A variable is a letter that represents an unknown number We often use 'x', 'y', or 'n' as variables Variables can represent any number They help us write mathematical statements Example: 'x + 3 = 10' means some number plus 3 equals 10
Equations vs Expressions
{"left":"An expression is a mathematical phrase\nExamples: x + 5, 3y - 2, 4n\nNo equal sign\nCannot be solved","right":"An equation is a mathematical sentence\nExamples: x + 5 = 12, 3y = 15\nHas an equal sign\nCan be solved to find the variable"}
The Balance Method - Solving Simple Equations
Think of an equation like a balance scale Both sides must be equal Whatever you do to one side, do to the other Use inverse operations to isolate the variable Check your answer by substituting back
Practice Time - Solve These Equations
x + 7 = 15 y - 4 = 9 n + 12 = 20 m - 6 = 14 Show your working out! Remember to check your answers
Remember: Algebra is a Tool for Thinking
"Algebra is the language through which we describe patterns. Once you understand the pattern, you can predict what comes next." - Mathematical thinking builds step by step - Every expert was once a beginner - Practice makes progress, not perfection