Absolute Value and Comparing Integers Guided Notes &…

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Give your students a true understanding of absolute value and comparing integers. These 6th Grade Guided Notes were created specifically to make learning about integers more understandable and easy.

The students tend to be confused when dealing with negative numbers, following procedures, but not knowing why and what integers actually mean. With these guided notes, you will introduce them to distances, directions, and other aspects of working with integers via clear explanations, scaffolded examples, and plenty of practice opportunities.

The resource includes a step-by-step explanation of how to evaluate the absolute value of an integer, compare integers using symbols, find distances between two integers on a number line, and write down inequalities based on reasoning.

Instead of providing dense notes, the resource has an attractive visual design with lots of space for writing, which makes teaching integers more engaging for the students.

All you need to do is print out this material to teach your students about integers, and you won’t have to worry about preparation and creation of resources anymore.

Includes:

• 2 pages of Guided Notes with explanations and worked examples

• Guided Practice with 10 scaffolded problems

• Independent Practice with 20 problems, ranging from basic skills to applying them to real-life scenarios

• Complete answer key for quick grading and self-study

• Teacher tips and reminders on common misconceptions with negative numbers and inequalities

CCSS Standards Covered:

• 6.NS.C.5 - Use positive and negative numbers to describe quantities with opposite directions or values.

• 6.NS.C.6 - Understand a rational number as a point on the number line.

• 6.NS.C.7 - Understand ordering and absolute value of rational numbers.

These guided notes cover:

• Evaluating absolute value expressions

• Comparing integers using symbols

• Finding distance on a number line

• Inequalities writing and interpretation

• Real world application of integers

• Reasoning about integers

Useful For:

• Whole class instruction

• Interactive math notebooks

• Individual practice

• Homework

• Intervention

• Test and exam preparation

• Sub plans

This set of guided notes provides a great way to engage with the topic and get prepared for future challenges with integers. They include everything you need for easy teaching and learning experience.

These notes may serve as an introduction to integers at the beginning of the school year or a reminder for the end of the year review.

Start using them today and save yourself a lot of preparation time!

In the classroom

Teaching tips & learning objectives

Learning objectives

Evaluate absolute value for positive integers, negative integers and zero.
Explain why opposite numbers have the same absolute value.
Find distance between integers using |a − b|.

Teaching tips

The guided practice sits on the same page as the explanation it follows, so a student who stalls has the worked example directly above the question
Questions 15 to 19 are contextual; question 20 is an abstract distance problem; hold them for a second sitting if a class is still shaky on bare absolute-value computation
The two PRO TIP boxes are the notes' takeaway rules; copy them onto the board as the anchor while the practice pages are being worked

Skills covered

Evaluating absolute value — students work items such as |−25|, |14|, |−3| and |0|, with the notes defining |a| as distance from zero.
Understanding opposites — the notes show |−5| = 5 alongside |5| = 5, and two practice items ask students to write both integers that have a given absolute value.
Comparing integers — items ask for > or < between −7 and −12 and between 4 and −9, using the rule that the negative closer to zero is greater.

Good to know

Questions teachers ask about this resource

How do the two practice pages differ?

The first ten items are bare computation — find |−25|, write two integers with an absolute value of 4, find the distance between −2 and 6. The second ten move into comparison symbols and then five problems set in temperature change, diving depth, bank balances, city temperatures and elevator floors, followed by an abstract distance question.

What do the PRO TIP boxes say?

Two rules lifted out of the notes. The first: absolute value answers "How far?" — not "Which direction?" — so always check the sign when comparing numbers. The second: when comparing negatives, the number closer to zero is greater.

Which item asks students to compare two distances rather than two numbers?

Item 14, which asks whether the distance between −4 and 5 or the distance between −2 and 3 is greater. Both have to be worked out first; the key gives 9 and 5, so the first is greater.

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Curriculum

Standards, concepts & topics

Standards

6. NS.C.7 — Understand ordering and absolute value of rational numbers. a. Interpret statements of inequality as statements about the relative position of two numbers on a number line diagram. For example, interpret –3 > –7 as a statement that –3 is located to the right of –7 on a number line oriented from left to right. b. Write, interpret, and explain statements of order for rational numbers in realworld contexts. For example, write –3 oC > –7 oC to express the fact that –3 oC is warmer than –7 oC. c. Understand the absolute value of a rational number as its distance from 0 on the number line; interpret absolute value as magnitude for a positive or negative quantity in a real-world situation. For example, for an account balance of –30 dollars, write |–30| = 30 to describe the size of the debt in dollars. d. Distinguish comparisons of absolute value from statements about order. For example, recognize that an account balance less than –30 dollars represents a debt greater than 30 dollars.

Core concepts

Absolute value
Integers
Number line
Comparing numbers
Distance between numbers

Topics

Absolute Value Integers Number Line Comparing Integers Guided Notes

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Categories this resource belongs to

5th Grade Math Worksheets 7th Grade Math Worksheets 6th Grade Math Worksheets Algebra Presentations Decimals Presentations Math Presentations

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Absolute Value and Comparing Integers Guided Notes & Practice

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