5.8 Quadratic Inequalities

Slides:



Advertisements
Similar presentations
7-4A Similar Figures and Proportions Learning Objective: To determine whether two given figures are similar, and to use similarity to find missing lengths.
Advertisements

1.7 Solving Inequalities Warm-up (IN) Learning Objective: to write, solve and graph compound and single variable inequalities. 1. Graph and label the points.
1.4 Solving Inequalities. Review: Graphing Inequalities Open dot:> or < Closed dot:> or < Which direction to shade the graph? –Let the arrow point the.
3.7 Graphing Inequalities In Two Variables. Get y by itself Graph If ≤ or ≥: use solid line If : use dashed line If < or ≤: shade below the line If >
Systems of Linear Inequalities.  Two or more linear inequalities together form a system of linear inequalities.
4.3 The Inverse of a Matrix Warm-up (IN)
Graphing Quadratics Warm-up (IN) Solve by completing the square Learning Objective: To use completing the square to rewrite a quadratic equation.
3.3 Graphing Systems of Inequalities. Steps to Graphing a System of Inequalities. 1) Graph each inequality with out shading the region. 2) Find the region.
6.8 –Systems of Inequalities. Just like systems of equations, but do the inequality part!
Graphing Inequalities of Two Variables Recall… Solving inequalities of 1 variable: x + 4 ≥ 6 x ≥ 2 [all points greater than or equal to 2] Different from.
3.4 Solving Systems of Linear Inequalities Objectives: Write and graph a system of linear inequalities in two variables. Write a system of inequalities.
Solving Exponential Equations
6-1B Solving Linear Systems by Graphing Warm-up (IN) Learning Objective: to solve a system of 2 linear equations graphically Given the equations: 1.Which.
SECTION 4-3: SYSTEMS OF LINEAR INEQUALITIES Goal: Graph, write and use a system of linear inequalities.
5.5 Quadratic Formula Warm-up (IN) Learning Objective: To use the quadratic formula to find real roots of quadratic equations and to use the roots to find.
3.4 Solving Systems of Linear Inequalities
5.4 – Solving Compound Inequalities. Ex. Solve and graph the solution.
Set Operations and Compound Inequalities. 1. Use A = {2, 3, 4, 5, 6}, B = {1, 3, 5, 7, 9}, and C = {2, 4, 6, 8} to find each set.
Solving Linear Inequalities `. Warm-up -4 < x ≤ 6 x ≤ -4 or x>
Compound Inequalities – Day 1 October 1, x  -12 (-12,  ) x ≤ 9 (- , 9] SWBAT: Solve and graph solutions sets of compound inequalities with one.
6-2A Solving by Substitution Warm-up (IN) Learning Objective: to solve systems of equations using substitution Graph and solve the system of equations.
Chapter 10.7 Notes: Solve Quadratic Equations by the Quadratic Formula Goal: You will solve quadratic equations by using the Quadratic Formula.
3.6 Solving Absolute Value Equations and Inequalities
Pre-Calculus Section 1.7 Inequalities Objectives: To solve linear inequalities. To solve absolute value inequalities.
1.8 Absolute Value Equations and Inequalities Warm-up (IN) Learning Objective: to write, solve and graph absolute value in math and in real-life situations.
Solving Linear Inequalities Lesson 5.5 linear inequality: _________________________________ ________________________________________________ solution of.
Solving Open Sentences Involving Absolute Value
6-2B Solving by Linear Combinations Warm-up (IN) Learning Objective: to solve systems of equations using linear combinations. Solve the systems using substitution.
5.3 Again! Warm-up (IN) Learning Objective: To use factoring to solve quadratic equations. Factor:
1.8 Absolute Value Equations and Inequalities Warm-up (IN) Learning Objective: to write, solve and graph absolute value in math and in real-life situations.
5.7 Curve Fitting with Quadratic Models Learning Objective: To find a quadratic function that exactly fits three data points and to find a quadratic model.
Warm-up 4-1. x – y = 33x + y = 52y = 6 – x x + y = 5x – 2y = 43x – 2y = 6 Graphs:
5.6 Complex Numbers Learning Objective: To classify and find all roots of a quadratic equation and to perform operations on complex numbers. Warm-up (IN)
MM2A4. Students will solve quadratic equations and inequalities in one variable. d. Solve quadratic inequalities both graphically and algebraically, and.
Further preview of Sec Objective: solve a system of two linear inequalities in two variables and to Graph the solution sets.
Warm-Up: Solve and Graph  1.  2.. CHAPTER 6 SECTION 5 Graphing Linear Inequalities in Two Variables.
Aim: How do we graph and solve quadratic inequality in two variables? Do Now: Graph y < x – 4.
Practice 6.7. Solve the inequality and graph your solution #1 AND OR.
2.5 Inverses Warm-up (IN) Learning Objective: to find the inverse of a relation or function and to determine whether the inverse of a function is a function.
Notes Over 1.6 Solving an Inequality with a Variable on One Side Solve the inequality. Then graph your solution. l l l
AGENDA FRIDAY TRIVIA WARM-UP LESSON 81 EXIT CARD.
Objectives: Graph (and write) inequalities on a number line.
Linear Inequalities in One Variable
Quadratic Inequalities
3.3 – Solving Systems of Inequalities by Graphing
Notes Over 2.1 Graph the numbers on a number line. Then write two inequalities that compare the two numbers and and 9 l l l.
3.3 Graphs of Nonlinear Inequalities
6-3: Square Root Inequalities
4.9 Graph and Solve Quadratic Inequalities
2.6 Linear Inequalities in Two Variables
6-7: Solving Radical Inequalities
Absolute Value inequalities
Warm Up Graph y = 4x and 16, $10’s and 7 $20’s.
Take Quiz!!! Good luck.
Objective Graph and solve systems of linear inequalities in two variables.
Which of the following graphs corresponds to the inequality {image} ?
Solve Systems of Linear Inequalities
5.1 Solving Systems of Equations by Graphing
Warm Up Graph y = 4x and 16, $10’s and 7 $20’s.
Algebra 1B – Name: _________________________
7.1 solving linear systems by graphing
6.6 Systems of Linear Inequalities
4 minutes Warm-Up Solve and graph. 1) 2).
Review Find number of solutions using substitution or linear combinations. 2x – 6y = 5 3x – 9y = 2 Find number of solution using graphing. -2x + 5y =
L1-4 Algebra 2.
3.3 Notes – Graph Systems of Linear Inequalities
Warm-up: State the domain.
Graph Linear Inequalities in Two Variables
Tell whether the ordered pair is a solution of the equation.
Warm up – Solve the Quadratic
Presentation transcript:

5.8 Quadratic Inequalities Learning Objective: To write, solve and graph a quadratic inequality in two variables. Warm-up (IN) Graph the inequalities. 15 Minutes - The first part of the warm-up will be a review of the last lesson, and the 2nd is an algebra review to prepare the students for the algebra that will be done in the notes and homework with isosceles triangles. 20 minutes – Check answers to even problems from HW, then to over any questions.

EX 1 – Graph the solution to: Learning Objective: To write, solve and graph a quadratic inequality in two variables. . Notes EX 1 – Graph the solution to: 41 minutes for notes Essential Questions: What is the isosceles triangle theorem and it’s converse?

Learning Objective: To write, solve and graph a quadratic inequality in two variables. Essential Questions: How can you use the Isosceles triangle theorem to write a paragraph proof?

Out – Explain how to test whether the correct area has been shaded in the graph of an inequality. Summary – Inequalities are… HW – p335 #42-57(mult of 3), 61, 66,67,78,80 5 minutes for Summary and closing questions. I will have the students do the Out as a ticket out.