1. Real Numbers and the Number Line
To classify, graph, and compare real numbers
To find and estimate square roots
Ch 1, L3
Real Numbers and the Number Line
The diagrams in the Solve It! model what happens when you multiply a number by itself to form a product. When you do this, the original number is called a ____________ of the product.
square root
Algebra 1 Foundations, pg 19

2. To classify, graph, and compare real numbers
To find and estimate square roots
Ch 1, L3
Focus Question
What is the difference between finding the square root of a perfect square and the square root of a nonperfect square?
For perfect squares, find a number times itself that equals the perfect square.
For nonperfect squares, estimate the square root by finding the two closest perfect squares.
Algebra 1 Foundations, pg 19

3. To classify, graph, and compare real numbers
To find and estimate square roots
Ch 1, L3
You can use the definition above to find the exact square roots of some nonnegative numbers. You can approximate the square roots of other nonnegative numbers.
The radical symbol √ indicates a nonnegative square root, that is also called a principal square root. The expression under the radical is called the radicand.
Together, the radical symbol and radicand form a radical. You will learn about negative roots in Lesson 1-6.
You can use the definition above to find the exact square roots of some nonnegative numbers. You can approximate the square roots of other nonnegative numbers.
The radical symbol √ indicates a nonnegative square root, that is also called a principal square root. The expression under the radical is called the radicand.
Together, the radical symbol and radicand form a radical. You will learn about negative roots in Lesson 1-6.
radical symbol √ a radicand
Algebra 1 Foundations, pg 19

4. To classify, graph, and compare real numbers
To find and estimate square roots
Ch 1, L3
The square of an integer is called a perfect square. For example, 49 is a perfect square because 7² = 49. When a radicand is not a perfect square, you can estimate the square root of the radicand.
Algebra 1 Foundations, pg 20

5. Ch 1, L3 To classify, graph, and compare real numbers
To find and estimate square roots
Ch 1, L3

6. Ch 1, L3 To classify, graph, and compare real numbers
To find and estimate square roots
Ch 1, L3
Algebra 1 Foundations, pg 20

7. Ch 1, L3 To classify, graph, and compare real numbers
To find and estimate square roots
Ch 1, L3

8. To classify, graph, and compare real numbers
To find and estimate square roots
Ch 1, L3
Focus Question
Why is it helpful to classify, graph and compare numbers?
Since there are many types of numbers, it is helpful to classify them. In real life situations, you may need to compare different types of real numbers by graphing them on a number line.
Algebra 1 Foundations, pg 20

9. Ch 1, L3 To classify, graph, and compare real numbers
To find and estimate square roots
Ch 1, L3
Algebra 1 Foundations, pg 20-21

10. Ch 1, L3 To classify, graph, and compare real numbers
To find and estimate square roots
Ch 1, L3
Algebra 1 Foundations, pg 21

11. Ch 1, L3 To classify, graph, and compare real numbers
To find and estimate square roots
Ch 1, L3

12. Ch 1, L3 To classify, graph, and compare real numbers
To find and estimate square roots
Ch 1, L3
Algebra 1 Foundations, pg 20

13. Ch 1, L3 To classify, graph, and compare real numbers
To find and estimate square roots
Ch 1, L3

14. Ch 1, L3 To classify, graph, and compare real numbers
To find and estimate square roots
Ch 1, L3
Algebra 1 Foundations, pg 20

15. Ch 1, L3 To classify, graph, and compare real numbers
To find and estimate square roots
Ch 1, L3

16. Ch 1, L3 To classify, graph, and compare real numbers
To find and estimate square roots
Ch 1, L3