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Lesson Overview (1 of 3) Lesson Objective Interpret statements of inequality as statements about the relative position of two numbers on a number line diagram. Write, interpret, and explain statements of order for rational numbers in real-world contexts. OBJECTIVE: SWBAT interpret inequalities as statements about the relative position of two numbers on a number line Lesson Description This lesson introduces students to inequalities. It begins with discussing what the symbols mean ( < & > ) and how to orient the symbols in relation to 2 quantities. It has students recognize that inequality statements can be read either right to left or in reverse. Lastly, it has students write inequality statements using words. The SEE IT, SAY IT, WRITE IT flow is meant to cement understanding in a concept which often presents difficultly due new terminology and symbology. 1 Lesson Overview (3 of 3) Common Core State Standard 6.NS.7. Understand ordering and absolute value of rational numbers.* 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. 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. Before and After Students are expected to have been introduced to the number line and understand the general properties and locations of rational numbers on the line. This lesson only hits on the first half of standard 6.NS.7. The half dealing with absolute values is the subsequent lesson. Topic Background Although students are very familiar with “equals,” it is important to mention that many things in the world are not equal to one another. In fact, the “real world” is a lot about the relative sizes of numbers. Tell the kids that today’s lesson is about number differences…just as important as similarities. 2 Warm Up OBJECTIVE: SWBAT interpret inequalities as statements about the relative position of two numbers on a number line -5 -4 -3 -2 -1 0 1 2 3 4 5 Notice that 2 quantities are represented on the number line. 1)How could you describe the green dot’s quantity in relation to the red dot’s quantity? 2)How could you describe the red dot’s quantity in relation to the green dot’s quantity? Agenda 3 Agenda: OBJECTIVE: SWBAT interpret inequalities as statements about the relative position of two numbers on a number line 1) Warm Up Comparing quantities (Independent) 2) Launch (1 – 3) Intro to inequalities (Teacher directed) 3) Explore 1 See It! (Group) Explore 2 Say It! (Partner) Explore 3 Write It! (Partner check) 4) Summary Explain the symbol (Independent) 5) Assessment Key to leave (Independent) 6) HW Practice 4 Lesson Vocabulary Language Objective: SWBAT will use the terms Inequality and Inequality Symbol when comparing quantities of different value. Word Definition Inequality Quantities that are not equal in value Inequality Symbol A symbol that tells us that quantities are not equal Symbol/Example 25 >, < , > , < * The line below the inequality symbols means “or equal to” and will not be focused on in this lesson. Agenda 5 Launch 1 – Symbol of Equality When quantities have the same value, we use the equal sign symbol. 3 is equal to 3 Please tell me something I didn’t already know! Agenda 6 Launch 2 – Symbols of Inequality 2 does not equal 5 When quantities do not have the same value, besides the symbol above, we can also use the Inequality Symbols below. > and < Agenda 7 Launch 3 Alligators are always hungry ! Alligators will always eat the larger quantity! So…they open their mouths wide towards the number that is of higher value. 2 5 Agenda 8 Explore 1 – Seeing which is greater or less 1) 2) 3) 4) 5) 6) 7) 8) 9) 10) See It ! 10 0 105 -8 -7 -2 -1 -2.6 3 4 0.1 or > < > < > < < > > > 6 8 100 -3 -9 2 0 -2.8 2 5 0.01 0 6 0 0 -8 8 100 105 -3 0 On a number line, the quantity the alligator eats is always to the Right of the other ________ quantity. Why? Challenge ! Agenda 9 10 Explore 2 All inequality Say It ! statements can be read either from left to right or right to left. -2 < 3 Left to Right: -2 is less than 3 Right to Left: 3 is greater than -2 11) Are both statements correct? Explain. Shoulder partners on left: Read #11 & #12 to partners on right Read each in 2 ways. Shoulder partners on right: Read #13 & #14 to partners on left. Read each in 2 ways. Each partner should read 4 times. 12) Left: 13) Left: 14) Right: 15) Right: 8 < 20 -4 > -7 6 < 11 -1 > -3 (read in 2 ways) (read in 2 ways) (read in 2 ways) (read in 2 ways) Agenda 10 Explore 3 Write the It ! given numbers using inequality statements. This time, you have to Compare write it out in words. Ex. 6 & 4 Six is greater than four. Four is less than six. 15) -7 & -2 16) ¼ & ½ 17) -6.1 & -6.0 Agenda 11 Summary < Jenn: “Does the symbol above mean less than or greater than?” Malik: “Actually, it could mean both!” In at least 2 complete sentences, explain what Malik means. Agenda 12 Assessment Name:__________ Key to Leave Fill in the boxes with an appropriate inequality symbol. Then, write each inequality statement in 2 different ways. Hand your “key” to your teacher to “unlock” your exit. 1) -3 2) 1 8 -1 5 9 _____________________________ _____________________________ _____________________________ _____________________________ Agenda 13