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Classroom Rules. Enter the classroom quietly and on time with the necessary supplies. Raise hand to be recognized. Follow all directions the first time given. Do not move or remove objects without permission. Keep hands, feet & objects to yourself --- NO hitting!
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Classroom Rules Enter the classroom quietly and on time with the necessary supplies. Raise hand to be recognized. Follow all directions the first time given. Do not move or remove objects without permission. Keep hands, feet & objects to yourself --- NO hitting! Respect others --- no name-calling, teasing, bullying, vulgarity or profanity will be tolerated.
Classroom Procedures Entering the classroom --- quietly and respectfully & start on bell-work. Placement of school bags and personal items in the classroom --- on left side of desk or under your desk. Bell-work --- quietly and independently. Taking roll --- students must sit in assigned seat or you will be marked absent. Sharpening pencils --- hold up pencil. Going to the trash can --- at the end of class on your way out of the classroom.
Classroom Procedures Handing out papers --- Teacher hands out papers, student writes name on paper & waits for instruction. Turning in papers --- face down in class folder. Participating in class discussions --- raise hand and wait to be called upon. Getting the student’s attention --- Teacher will raise hand. Classwork --- Class participation is encouraged and considered into student’s grade. Getting help --- raise hand, but only after directions have been given. Dismissing class --- Teacher dismisses class, not the bell.
I don’t send you to the office if you should mess up; rather, you send yourself with choices you make. Consequences First time a student breaks a rule: Warning --- visual or verbal reprimand. Second time a student breaks a rule: Complete think sheet for next school day. Third time a student breaks a rule: Talk with teacher in hall; complete think sheet for next school day. Fourth time a student breaks a rule: Talk with teacher in hall; complete think sheet for next school day. Call to parents. Severe Clause: Sent to Assistant Principal or Principal
Classroom Procedures Make-up classwork --- all assignments will be posted in the make-up binder. It is YOUR responsibility to get any missed assignments and bell work. Make-up tests --- discuss with Teacher. Fire/tornado drills --- line up quietly & quickly and follow Teacher’s directions. Observers & visitors --- many observers and visitors will be in the classroom this year, please (1) be respectful when interacting with observer, & (2) participate in class like it was a normal day of instruction.
Will my teacher treat me fairly? YES! YES! YES! I am firm, fair and very consistent. I don’t play favorites because I LOVE all of my students! This is A Promise!
How will I be graded? Algebra 1 A = 93 – 100 B = 85 – 92 C = 75 – 84 D = 67 – 74 F = 0 – 66
Algebra chapter 6 Solving and Graphing Linear Inequalities
Vocabulary • An equation is formed when an equal sign (=) is placed between two expressions creating a left and a right side of the equation • An equation that contains one or more variables is called an open sentence • When a variable in a single-variable equation is replaced by a number the resulting statement can be true or false • If the statement is true, the number is a solution of an equation • Substituting a number for a variable in an equation to see whether the resulting statement is true or false is called checking a possible solution
Inequalities • Another type of open sentence is called an inequality. • An inequality is formed when and inequality sign is placed between two expressions • A solution to an inequality are numbers that produce a true statement when substituted for the variable in the inequality
Inequality Symbols • Listed below are the 4 inequality symbols and their meaning < Less than ≤ Less than or equal to > Greater than ≥ Greater than or equal to Note: We will be working with inequalities throughout this course…and you are expected to know the difference between equalities and inequalities
Graphs of linear inequalities • Graph (1 variable) • The set of points on a number line that represents all solutions of the inequality
Writing linear inequalities • Bob hopes that his next math test grade will be higher than his current average. His first three test scores were 77, 83, and 86. • Why would an inequality be best in this case? • How can we come up with this inequality? • Graph!
Solving one-step linear inequalities • Equivalent Inequalities • Two or more inequalities with exactly the same solution • Manipulating Inequalities • All of the same rules apply to inequalities as equations* • When multiplying or dividing by a negative number, we have to switch the inequality! • Less than becomes greater than, etc.
Why do we have to change the sign? • Is there another way we can solve this?
Solving multi-step linear inequalities—6.2 Algebra chapter 6 • Solving and Graphing Linear Inequalities
Multi step inequalities • Treat inequalities just like you would normal, everyday equations* *change the sign when multiplying or dividing by a negative!!
Example • You plan to publish an online newsletter that reports the results of snow cross competitions. You do not want your monthly costs to exceed $2370. Your fixed monthly costs are $1200. You must also pay $130 per month to each article writer. How many writers can you afford to hire in a month?
o -5 -4 -3 o -5 -4 -3 ● -5 -4 -3 -5 -4 -3 Answer Now 1) Which graph represents the correct answer to > 1 ●
Answer Now 2) When solving > -10will the inequality switch? • Yes! • No! • I still don’t know!
Answer Now 3) When solving will the inequality switch? • Yes! • No! • I still don’t know!
Answer Now 4) Solve -8p ≥ -96 • p ≥ 12 • p ≥ -12 • p ≤ 12 • p ≤ -12
o -16 -15 -14 o -16 -15 -14 ● -16 -15 -14 -15 -15 -14 Answer Now 5) Solve 7v < -105 ●
Class work:p.343 #15-37 oddIf you do not finish in class, then it becomes homework!
Compound inequalities—6.3 Algebra chapter 6 • Solving and Graphing Linear Inequalities
Compound inequality • What does compound mean? • Compound fracture? • So…what’s a compound inequality? • An inequality consisting of two inequalities connected by an and or an or
Graphing Compound Inequalities • Graph the following:
Graphing Compound Inequalities • Graph the following:
Graphing Compound Inequalities • Graph the following: • All real numbers that are greater than or equal to -2 and less than 3
Solving Compound inequalities • Again….treat these like equations! • Whenever we do something to one side… …We do it to every side!
Solving Absolute-Value Equations and Inequalities—6.4 (Day 1)
Abs. Value • What is Absolute Value? • Distance from zero • What does that mean?
Abs. Value • So….an absolute value equation has how many solutions? • Is this always true?
