Lesson Notes By Weeks and Term v5 - Grade 7

Lesson Video

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Performance objectives

• Define whole numbers, natural numbers, and integers.
• Use a number line to represent and compare integers.
• Perform all four basic operations with integers.
• Apply the order of operations (BODMAS).
• Solve real-life problems using integers.

Lesson summary

In Grade 7, we build upon your existing knowledge of numbers to explore whole numbers and integers in more depth. This is fundamental to all future mathematics you will encounter. Understanding whole numbers and integers allows us to represent real-world quantities like money, temperature, altitude, and even debt. Imagine trying to budget your pocket money if you didn't understand negative numbers representing what you owe! This week, we'll solidify your understanding of these numbers, their properties, and how to work with them effectively. These skills are essential for problem-solving, critical thinking, and making informed decisions in everyday life, from budgeting to interpreting data.

Lesson notes

Whole Numbers: Whole numbers are non-negative numbers without any fractions or decimals. They include zero and all positive counting numbers: 0, 1, 2, 3, 4, 5, and so on.

Natural Numbers (Counting Numbers): Natural numbers are positive whole numbers: 1, 2, 3, 4, 5, and so on. Zero is not a natural number.

Integers: Integers are whole numbers and their negative counterparts. This includes all positive whole numbers, zero, and all negative whole numbers: ..., -3, -2, -1, 0, 1, 2, 3, ...

Number Line: A number line is a visual representation of numbers. Integers can be plotted on a number line, with positive integers to the right of zero and negative integers to the left of zero. The further to the right a number is on the number line, the greater its value.

Comparing Integers: When comparing integers, remember that negative numbers are less than positive numbers. A number further to the left on the number line is smaller. For example, -5 3 + (-1) 2 + (-1) 1 If x = -3, evaluate the expression: 2x + 5