A little review…. 43210 In addition to level 3.0 and beyond what was taught in class, the student may:  Make connection with other concepts in math.

Slides:



Advertisements
Similar presentations
Compare Functions Verbal, Equations, Tables and Graphs.
Advertisements

Bivariate Data & Scatter Plots Learn to take bivariate data to create a scatter plot for the purpose of deriving meaning from the data.
IDENTIFYING FUNCTIONS In addition to level 3.0 and above and beyond what was taught in class, the student may: - Make connection with other concepts.
Lesson 4-4 Example Solve. DRINKS It costs $3 per bottle of orange drink. Graph an equation to represent the cost of purchasing x bottles of orange.
GRAPHING CUBIC, SQUARE ROOT AND CUBE ROOT FUNCTIONS.
Scatter Plots Find the line of best fit In addition to level 3.0 and beyond what was taught in class, the student may:  Make connection with.
Graphs of Quadratic Functions In addition to level 3, students make connections to other content areas and/or contextual situations outside of.
Math 015 Section 6.6 Graphing Lines. Objective: To check solutions of an equation in two variables. Question: Is (-3, 7) a solution of y = -2x + 1 ? y.
IDENTIFY PATTERNS AND MAKE PREDICTIONS FROM SCATTER PLOTS.
RULES FOR FUNCTIONS LINEAR OR NON-LINEAR In addition to level 3.0 and beyond what was taught in class, the student may:  Make connection with.
ARITHMETIC & GEOMETRIC SEQUENCES In addition to level 3.0 and above and beyond what was taught in class, the student may: · Make connection with.
RECURSIVE FORMULAS In addition to level 3.0 and above and beyond what was taught in class, the student may: · Make connection with other concepts.
Quick Graphing Using Slope-Intercept Form In addition to level 3.0 and above and beyond what was taught in class, the student may: · Make connection.
Lesson 5.6 Point-Slope Form of the Equation of a Line.
6.5 Graphing Linear Inequalities in Two Variables
WRITE AND GRAPH EQUATIONS. Learning Goal for Focus 2(HS.A-CED.A.1, 2 & 3, HS.A-REI.A.1, HS.A-REI.B.3): The student will create equations from multiple.
6.3 Compound Inequalities. Learning Goal for Focus 2 (HS.A-CED.A.1, 2 & 3, HS.A-REI.A.1, HS.A-REI.B.3): The student will create equations from multiple.
Finding Distance by using the Pythagorean Theorem
7.6 Solving Systems of Linear Inequalities In addition to level 3.0 and above and beyond what was taught in class, the student may: · Make connection.
Solve Equations with Exponents In addition to level 3.0 and above and beyond what was taught in class, students may: - Make connection with other.
The equations you have been waiting for have finally arrived! 7.5 Special Types of Linear Systems.
Lesson 6.1 & 6.2. Learning Goal for Focus 2 (HS.A-CED.A.1, 2 & 3, HS.A-REI.A.1, HS.A-REI.B.3): The student will create equations from multiple representations.
Qualitative Graphs These are the graphs of your life!
Warm Up 1. Solve 2x – 3y = 12 for y. 2. Graph
ALGEBRAIC PROPERTIES Image from Let’s Keep Those Equations Balanced!
Pythagorean Triples In addition to level 3.0 and beyond what was taught in class, the student may:  Make connection with other concepts in math.
Practice converting linear equations into Slope-Intercept Form
Functions Introduction In addition to level 3.0 and above and beyond what was taught in class, the student may: · Make connection with other concepts.
Learn to create and interpret scatter plots and find the line of best fit. 5.4 Scatter Plots.
Is this relation a function? Explain. {(0, 5), (1, 6), (2, 4), (3, 7)} Draw arrows from the domain values to their range values.
Function Rules In addition to level 3.0 and above and beyond what was taught in class, the student may: · Make connection with other concepts in.
Solving Linear Systems by Graphing In addition to level 3.0 and above and beyond what was taught in class, the student may: · Make connection.
Identifying Linear Functions
An Introduction to Functions LINEAR ALGEBRA In addition to level 3.0 and beyond what was taught in class, the student may:  Make connection with.
Lesson 4-4 Example Determine the slope of the function y = 5x – 2. Step 1Complete a function table for the equation.
Graphs of Functions Graphs of Functions In addition to level 3.0 and beyond what was taught in class, the student may: Make connection with other.
© William James Calhoun, : Equations as Relations OBJECTIVES: You must be able to determine the range for a given domain and graph the solution.
Solve for “y” for each: 1.) 2x + y = 9 2.) -x = y ) 2y – 4 = 3x 4.) 2 = y – ⅓x 5.) 7x – y = -8 6.) 3y – 1 = -3x -2x -2x - 3.
Lesson 6-6 Example Example 2 Graph y = 3x + 2 and determine the slope of the line. 1.Complete a function table for the equation.
Equations of Lines Given Two Points In addition to level 3.0 and above and beyond what was taught in class, the student may: · Make connection.
Slope-Intercept Form Word Problems In addition to level 3.0 and beyond what was taught in class, the student may:  Make connection with other.
Calculate Standard Deviation ANALYZE THE SPREAD OF DATA.
Section 2.1 Graphs  Points & Ordered Pairs (x,y)  Quadrants I II III IV  Solutions to Equations x-intercepts  Nonlinear Equations 12.1.
MATH II – Math I review
GRAPHING QUADRATIC FUNCTIONS
Graph with Slopes & y-Intercepts
The Slope of a Line In addition to level 3.0 and beyond what was taught in class, the student may:  Make connection with other concepts in math.
Write an Equation in Slope-Intercept Form In addition to level 3.0 and beyond what was taught in class, the student may:  Make connection with.
Evaluate each expression when x = −2. 1.4x −3 + 11x (x + 5) Warm-Up −25 −1 24.
Function Notation In addition to level 3.0 and above and beyond what was taught in class, the student may: · Make connection with other concepts.
Equivalent Equations Justify your reasoning. Image from
Review: Writing an equation of a line Prepare to write equations for lines of best fit on scatter plots.
Function Tables and Graphs. Function A function is when each input (x-value) corresponds to exactly one output (y- value) In other words, when you substitute.
Function Rules for Graphs In addition to level 3.0 and above and beyond what was taught in class, the student may: · Make connection with other.
10-2 Graphing Quadratic Functions. Quadratic Functions (y = ax 2 +bx+c) When a is positive, When a is negative, When c is positive When c is negative.
Match the graphs to the real world situation
Solve Equations with Exponents
How to Find the Square Root of a Non-Perfect Square
The Slope of a Line… Continued!
Solving Systems using Substitution
Quick Graphs Using Intercepts
Compare Functions Written in Different Forms
6.5 Graphing Linear Inequalities in Two Variables
Which number is greater?
Practice converting linear equations into Slope-Intercept Form
Find the line of best fit.
X and Y Intercepts.
5.1 Solving Systems of Equations by Graphing
Solutions of Linear Functions
The Slope of a Line… Continued!
Presentation transcript:

A little review…

43210 In addition to level 3.0 and beyond what was taught in class, the student may:  Make connection with other concepts in math.  Make connection with other content areas. The student will understand and explain the difference between functions and non-functions using graphs, equations, and tables.  Compare properties of a function to a non- function. The student will be able to model and evaluate functions and non-functions.  Use graphs, equations, and tables to determine functions and non- functions. With help from the teacher, the student has partial success with level 2 and 3 elements. Even with help, students have no success with the functions. Focus 6 - Learning Goal #1: Students will understand and explain the difference between functions and non-functions using graphs, equations, and tables.

XY Complete the table to find the y- values and ordered pairs. y = 4 + 2x Substitute each x-value into the equation to solve for y. 1. y = 4 + 2(-1) y = y = 4 + 2(0) y = 4 y = 4 + 2(1) y = 6 6 y = 4 + 2(2) y = 8

Plot each point to graph the equation y = 4 + 2x. Each x-value and y-value make an ordered pair. (-1, 2) (0, 4) (1, 6) (2, 8) Use a ruler to connect the dots. 1. XY

XY Complete the table to find the y- values and ordered pairs. y = x Substitute each x-value into the equation to solve for y. 2. y = (0) y = -6 y = (1) y = -3 y = (2) y = 0 y = (3) y =

Plot each point to graph the equation y = x. Each x-value and y-value make an ordered pair. (0, -6) (1, -3) (2, 0) (3, 3) Use a ruler to connect the dots. 2. XY

XY Complete the table to find the y- values and ordered pairs. y = -x + 3 The negative sign in front of the x means to multiply each x by -1. Substitute each x-value into the equation to solve for y. 3. y = -1(0) + 3 y = 3 y = -1(1) + 3 y = 2 y = -1(2) + 3 y = 1 y = -1(3) + 3 y =

Plot each point to graph the equation y = -x + 3. Each x-value and y-value make an ordered pair. (0, 3) (1, 2) (2, 1) (3, 0) Use a ruler to connect the dots. 3. XY