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Common Core for Grade 6

More Lessons for Grade 6

Examples, solutions, videos, and lessons to help Grade 6 students 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 real-world contexts.*For example, write –3 *^{o}C > –7 ^{o}C to express the fact that –3 ^{o}C is warmer than –7 ^{o}C.

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*.

Common Core: 6.NS.7

### Suggested Learning Targets

**Interpret inequalities and write, interpret, and explain statements of order (6.NS.7a)**

Inequality and the Number Line

Rules:

1. On a number line, numbers to the right are greater than numbers to the left.

2. On a number line, numbers to the left ate less than numbers to the right.

Using inequality with negative numbers

Example:

One day the temperature in Denver is 2 degrees, and the temperature in Cleveland is -15 degrees.

a) Which city is warmer?

b) Which city has the greater temperature?

c) Write a "greater than" inequality with these temperatures?

d) Write a "less than" inequality with these temperatures?

**Absolute Value (6.NS.7)**

Definition: The Absolute Value of a number is in distance from zero.

Absolute Value in the Real World

Example:

An inventor is experimenting with 2 kinds of freezing machines. Her goal is to get a machine that creates a temperature as close to 0 degrees as possible. Machine A creates a temperature of -3 degrees. Machine b creates a temperature of 2 degrees. Which machine is closer to the inventor's goal?

**Absolute value (6.NS.7c,d)**

Absolute value is about how far away from 0 a number is.**6.ns.7d**

The Common Core State Standards (CCSS) videos are designed to support states, schools, and teachers in the implementation of the CCSS. Each video is an audiovisual resource that focuses on one or more specific standards and usually includes examples/illustrations geared to enhancing understanding. The intent of each content-focused video is to clarify the meaning of the individual standard rather than to be a guide on how to teach each standard although the examples can be adapted for instructional use.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

Common Core for Grade 6

More Lessons for Grade 6

A. Interpret statements of inequality as statements about the relative position of two numbers on a number line diagram.

B. Write, interpret, and explain statements of order for rational numbers in real-world contexts.

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.

D. Distinguish comparisons of absolute value from statements about order.

Common Core: 6.NS.7

- I can compare rational numbers
- I can order rational numbers
- I can describe the relationship between an absolute number and zero
- I can compare in terms of absolute values.
- I can order rational numbers on a number line.
- I can interpret statements of inequality as statements about relative position of two numbers on a number line diagram.
- I can write, interpret, and explain statements of order for rational numbers in real-world contexts.
- I can identify absolute value of rational numbers.
- I can interpret absolute value as magnitude for a positive or negative quantity in a real-world situation.
- I can distinguish comparisons of absolute value from statements about order and apply to real world contexts.

Inequality and the Number Line

Rules:

1. On a number line, numbers to the right are greater than numbers to the left.

2. On a number line, numbers to the left ate less than numbers to the right.

Using inequality with negative numbers

Example:

One day the temperature in Denver is 2 degrees, and the temperature in Cleveland is -15 degrees.

a) Which city is warmer?

b) Which city has the greater temperature?

c) Write a "greater than" inequality with these temperatures?

d) Write a "less than" inequality with these temperatures?

Definition: The Absolute Value of a number is in distance from zero.

Absolute Value in the Real World

Example:

An inventor is experimenting with 2 kinds of freezing machines. Her goal is to get a machine that creates a temperature as close to 0 degrees as possible. Machine A creates a temperature of -3 degrees. Machine b creates a temperature of 2 degrees. Which machine is closer to the inventor's goal?

Absolute value is about how far away from 0 a number is.

The Common Core State Standards (CCSS) videos are designed to support states, schools, and teachers in the implementation of the CCSS. Each video is an audiovisual resource that focuses on one or more specific standards and usually includes examples/illustrations geared to enhancing understanding. The intent of each content-focused video is to clarify the meaning of the individual standard rather than to be a guide on how to teach each standard although the examples can be adapted for instructional use.

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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