Number sense and numeration (with a little bit of patterning and algebra)

1. Number sense and numeration (with a little bit of patterning and algebra) Using Inequality Signs and the Equality Sign in Equations

2. First, we need to know what an equation is... • An equation is something that we use in math to compare two or more numbers • It has two sides, one on either side of an inequality or an equality sign (<, >, or =) • Sometimes one of the numbers in the equation is greater and one is less, or sometimes both sides are equal, this is how we know whether to slot in either an inequality (< or >) or an equality sign (=) • This is easier when we have only one number on each side of the equation...it gets trickier when we have to do the math to figure out what numbers we’re dealing with

3. Reviewing Inequality Signs • When we learned about “Comparing and Ordering Numbers”, we were introduced to inequality signs • To review...inequalitysigns are symbols that are used to make comparisons between numbers; they look like < and > and are called “less than” and “greater than” • That means that inequality signs are used in equations to help us compare two numbers with different values

4. Reading Inequality Signs • Inequality signs always show the open end (the Pac Man mouth) directed towards the greater number and the pointed end directed towards the lesser number • We read equations that use inequality signs from left to right, just like words • For example, 8>5 is read as “eight is greater than five” and 5<8 is read as “five is less than eight”

5. The Equality Sign • Before we take a look at the sign itself, I’d like to ask you all a question:What does the word “EQUALITY” mean to you? • Chances are, you have seen the equality sign many times, it looks like this: = • However, this sign does not mean “here is my answer” as you may have thought...it means that both sides in an equation equal the same number (when we see it, we say “equal to”) • For example: 5+5=10 or 5+5=7+3 or 10=15-5

6. Using and Reading Inequality and Equality Signs in Equations • Using inequality and equality signs in an equation is almost like writing a sentence using Math language • For example, we would read 5+5=10 as “five plus five is equal to ten” or 5+5=7+3 as “five plus five is equal to seven plus three”. • Sometimes equations are represented by pictures (think kindergarten adding, but harder)...we still use inequality and equality signs to show what they represent

7. Acrobats, Grandmas, and Ivan • Use the information you have learned so far to complete the problem titled “Acrobats, Grandmas, and Ivan” • Make sure to use descriptive language to explain your reasoning clearly so I can understand each step you took to solve the problem

8. Problem Solving Take some time to solve the problem I have handed to you, feel free to ask me questions, but I expect you to read the problem thoroughly to try to understand the information you have been given before you do. We will take some time to de-brief and review what you have learned when you are finished.

9. Using and Reading Inequality and Equality Signs in Picture-based Equations • As you have seen through the problem “Acrobats, Grandmas, and Ivan”, we do not just use Math to solve problems using numbers • Discuss what you learned or figured out while solving this problem with an elbow partner • How did you use inequality and equality signs to help you solve this problem?