Your next great Lessn starts here.

Welcome to Integers! – Understanding Integers – Integers include whole numbers and their opposites – Defining Integers – Integers are numbers without fractions – Positive vs. Negative Numbers – Positive numbers are above zero, negative are below – Comparing Integer Values – Use a number line to visualize and compare integers | This slide introduces the concept of integers to sixth-grade students. Integers are the set of whole numbers and their opposites, including zero. They do not include fractions or decimals. It’s crucial to distinguish between positive integers, which are greater than zero, and negative integers, which are less than zero. When comparing integers, a number line can be a helpful tool to visualize their placement and determine which integers are greater or lesser. Encourage students to think of real-life examples where they encounter positive and negative numbers, such as temperatures above and below freezing, or floors in a building above and below ground level.

Understanding Integers – Define an integer – Whole numbers without fractions, including negative numbers, zero, and positive numbers. – Integers in daily life – Temperatures, floors in a building, bank account balances. – Zero as the middle point – Zero is the neutral point between positive and negative integers. – Comparing integers – Use a number line to visualize and compare; the further right, the greater the value. | This slide introduces the concept of integers to sixth-grade students. Begin with the definition, ensuring students understand that integers include negative numbers, zero, and positive numbers, but not fractions or decimals. Provide relatable examples such as temperatures (below and above zero), floors in a building (basement, ground floor, upper floors), and bank account balances (debt, zero balance, positive balance). Highlight zero as the central point on the number line, which separates negative and positive integers. Teach students how to compare integers by using a number line, explaining that numbers to the right are always greater than those to the left. Encourage students to think of other real-life examples and to practice comparing integers with different signs.

Comparing Integers – Understanding ‘Greater Than’ and ‘Less Than’ – Numbers to the right are greater, to the left are less – Using a Number Line for Comparison – Visualize integers on a line to determine which is larger – Rules for Comparing Integers – Positive integers are always greater than negative integers | This slide introduces the concept of comparing integers using the symbols for ‘greater than’ (>) and ‘less than’ (<). Emphasize that on a number line, numbers increase in value as you move to the right, making them greater, and decrease as you move to the left, making them less. Highlight the basic rules for comparing integers: any positive integer is greater than any negative integer, and for two positive integers, the one with the higher numerical value is greater. For two negative integers, the one with the lower absolute value is greater. Encourage students to practice by comparing pairs of integers both on a number line and by applying these rules.

Comparing with Absolute Values – Define Absolute Value – Absolute Value is the distance from zero on a number line, regardless of direction. – How to compare integers – Use Absolute Values to determine which integer is greater or smaller. – Examples of Absolute Values – Example: |3| and |-5|, |-5| is greater because 5 is further from zero than 3. – Non-examples to clarify – Non-example: Thinking |-2| is less than |1| because -2 is less than 1. | This slide introduces the concept of Absolute Value as a means to compare integers. Absolute Value represents the distance of a number from zero on the number line without considering direction. When comparing integers, students should use Absolute Values to determine which number is larger in terms of its position from zero. Provide clear examples and non-examples to ensure students understand common misconceptions, such as incorrectly assuming that a negative integer has a lesser Absolute Value than a positive integer. Encourage students to practice with pairs of integers and to explain their reasoning when determining which has the greater Absolute Value.

Let’s Practice Comparing Integers! – Compare -3 and 2 – Is -3 less than or greater than 2? Why? – Which is greater, -7 or -1? – Between -7 and -1, which is closer to zero? – Class guided practice – We’ll work together on more examples – Understanding integer comparison | This slide is designed to engage students in the practical application of comparing integers. Start with the first example, asking students to determine if -3 is less than or greater than 2, reinforcing the concept that negative numbers are less than positive numbers. For the second example, guide students to understand that -1 is greater than -7 because it is closer to zero on the number line. During the guided practice, work through additional problems as a class, ensuring students grasp the concept of comparing integers by considering their positions relative to zero. Encourage students to think about real-life situations where comparing negative and positive numbers might be necessary, such as temperatures below and above freezing.

Class Activity: Integer Face-Off – Pair up with a classmate – Draw a number line on paper – Include numbers from -10 to 10 – Take turns placing integers – Use different colored markers if possible – Discuss who placed the higher value – Explain your reasoning to your partner | This interactive activity is designed to help students understand the concept of comparing integers in a fun and engaging way. Students will pair up and draw a number line, which should include negative and positive integers. They will then take turns placing integers on the number line and compare to determine which is greater or lesser. Encourage students to use different colored markers to distinguish their integers from their partner’s. After placing an integer, they should discuss with their partner why one integer is greater or lesser than the other, reinforcing their understanding of the number line and integer values. Possible variations of the activity could include challenging students to find integers with the same absolute value or to place integers in ascending or descending order.

Wrapping Up: Integers – Review of integer comparison – Why integers matter – Integers are foundational in math and real life – Homework: Integer worksheet – Complete the worksheet to practice comparing integers – Bring questions next class – Ready to discuss any challenges you faced | As we conclude today’s lesson on comparing integers, it’s crucial to recap the main points to reinforce learning. Emphasize the importance of understanding integers as they are not only fundamental in math but also in everyday life, such as in financial literacy (debts and assets) and in understanding temperatures. For homework, assign a worksheet that provides a variety of integer comparison problems to ensure students get ample practice. Encourage them to bring any questions they have to the next class for clarification. This will help identify areas where students may need additional support.