1 / 9

Using Number Sense to Solve One-Step Equations

Learn how to solve one-step equations using number sense and estimation. Understand the concepts of equations, open sentences, and solutions. Practice finding missing numbers and estimating solutions.

mbancroft
Download Presentation

Using Number Sense to Solve One-Step Equations

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Using Number Sense to Solve One-Step Equations Lesson 2-5

  2. Vocabulary An equation is a mathematical sentence that has an equal sign. An open sentence is an equation with one or more variables in it. A solution is a value that can be substituted for a variable to make the equation true. Example: In the equation y + 3 = 8, the solution is 5.

  3. Using Estimation • Use mental math or estimating to determine the solutions to the equations. • The same number properties apply to algebraic equations.

  4. Properties Identity Properties: a + 0 = a1a = a Commutative Properties: a + b = b + aab = ba Associative Properties: a + (b + c) = (a + b) + ca(bc) = (ab)c

  5. Practice: Find The Missing Number

  6. Example: 4x=32 Think: What times 4 equals 32? Solution: x = 8 Check the original equation: 4x=32 4(8)=32 32=32

  7. Example: Estimatep ÷ 4 = 7.97 7.97 is close to 8. So think: What divided by 4 equals 8? If we work backwards, we know that 8 x 4 = 32. Therefore, p is about equal to 32.

  8. Is the given number a solution to the equation? 6n = 17; 3 Try the value out and see if it works. 6n = 17 6(3) = 17 18 = 17 This is not true, so 3 is not a solution.

  9. Class Work: Practice 2-5

More Related