Learning Objectives, Skills and textbook Correlations
5-1	Rate of Change and Slope To find the rate of change from a table To find the slope of a line using a graph To interpret a graph has having positive, negative, zero, or undefined slope Identify dependent and independent variables of a graph, equation, or word problem Express the rate of change as the change in the dependent variable divided by the change in the independent variable. Find the slope of a line between two points
5-2	Direct Variation To write and graph an equation of a direct variation Determine whether an equation, or a graph, represents a direct variation If an equation represents a direct variation, determine the constant of variation Write a direct variation equation from a table
5-3	Slope Intercept Form Use the slope-intercept form to write an equation of a line Identify the slope and y-intercept from a graph Write an equation of a line, in slope-intercept form, give the graph of a line Write an equation of a line, in slope-intercept form, given the slope and y-intercept Write an equation of a line, in slope-intercept form, given two points by first finding the slope of the line between the two points using the slope-intercept form of an equation to solve for the y-intercept write the equation of the line in slope-intercept form, having found the slope and y-intercept Draw a graph of a linear equation that is in slope-intercept form Model a real-life situation with a linear equation (or function)
5-4	Point-Slope Form Use slope and any point of a line to write an equation of the line Write an equation of a line, in point-slope form, given the slope and point Determine the slope and a point from an equation given in point-slope form Write an equation of a line, in point-slope form, given the graph of a line Draw a graph of a line give a point on the line and the slope Given two points on a line, write an equation of the line in point-slope form Given an equation of a line, rewrite the equation in either slope-intercept form or point-slope form. Given a table, write an equation in point-slope form Use a linear model to make predictions about a real-life situation
5-5	Standard Form of a Linear Equation Determine the slope and a point from an equation given in standard form Determine the x-intercept and y-intercept of the graph of an equation given in standard form Graph a line using the x-intercept and y-intercept Graph horizontal and vertical lines Given two points on a line, write an equation of the line in point-slope form Given an equation of a line, rewrite the equation in either slope-intercept form, point-slope form, or standard form. Use standard form as a model about a real-life situation
5-6	Parallel and Perpendicular Lines Given a point, and the equation of a line, write an equation of a line that is parallel to the given line, that passes through the specified point. Given a point, and the equation of a line, write an equation of a line that is perpendicular to the given line, that passes through the specified point. Determine if two lines are parallel, given the equation of each line Determine if two lines are perpendicular, given the equation of each line
5-7	Scatter Plots and Trend Lines Write an equation of trend line and line of best fit from data in a scatter plot. Make a scatter plot and describe it correlation Determine whether a linear model is appropriate Fitting a Line to Data Find a linear equation that approximates a set of data points Determine whether there is a positive or negative correlation, or no correlation, in a set of real-life data points.

Key Concepts
Concept:1. Slope Concept:2. Rate of Change Concept:3. Dependent Variable Concept:4. Independent Variable Concept:5. x-intercept and y-intercept Concept:6. constant of variation Concept:7. Family of functions, parent function Concept:8. Positive Slope, Negative Slope Concept:9. Zero Slope, undefined Slope Concept:10. Rise, Run		Concept:11. The Slope Formula Concept:12. Linear equation Concept:13. Slope-Intercept Form Concept:14. Point-Slope form Concept:15. Standard Form Concept:16. Direct Variation Concept:17. Vertical/Nonvertical Lines Concept:18. Perpendicular Lines Concept:19. The slope of horizontal line and slope of vertical line Concept:20. Opposite reciprocals Scatter Plot Concepts: causal relationship, correlation coefficient, extrapolation, interpolation, line of best fit, negative correlation, no correlation, positive correlation, trend line

Content Covered
Text Book	Algebra I Chapter 5 Writing Linear Equations
Online Resouces	Class Activities Linear Equations Sort-Match (pdf) You can download the cards, cut them up, and practice matching the cards. Check your answers with the un-cut version. Explore Learning Gizmos added to the class list Point-Slope Form of a Line Activity A Point-Slope Form of a Line Activity B Slope-Intercept Form of a Line Activity A Slope-Intercept Form of a Line Activity B Standard Form of a Line Constucting Parralel and Perpediculat Lines Try this one, this may be the type of question you will find on the 10th grade PARCC test (replacement of MCAS) National Library of Virtual Manipulatives Line Plotter Practice drawing lines through a given point having a specified slope.
Summary and Reminders	Summary Slope-Intercept form of an equation: y = mx + b Point-Slope intercept form of an equation: y - y1 = m(x - x1) Standard form of an equation: Ax + By = C Parallel lines have the same slope Perpendicular lines have oppostite reciprocal slopes Reminders Test on Thursday December 19, sections 5-1 through 5-6

Next Unit: Skills Quizzes : Systems of Equations
Quiz Name	Skill Assessed	Practice File	Passing Grade	Notes
Graphing	Solve systems of equations by graphing; check the solution	Practice Problem Sets (pdf) SQSETG01-90 SQSETG01-91 SQSETG01-92 SQSETG01-93 SQSETG01-94 See homework assignments for practice problems	3 out of 4	Practice Problem Set Solutions (pdf) SQSETG01-90-Key SQSETG01-91-Key SQSETG01-92-Key SQSETG01-93-Key SQSETG01-94-Key
Substitution	Solve systems of equations using the substitution method; check the solution.	See homework assignments for practice problems	3 out of 4
Linear Combinations	Solve systems of equations using linear combinations; this includes adding, subtracting, multiplication, division; check the solution.	See homework assignments for practice problems	3 out of 4
Writing Systems of Equations	Write a system of equations to model a problem; then solve the system and check the solution.	Practice problem sets (PDF) SEMOD-1-80 SEMOD-1-81 SEMOD-1-82 SEMOD-1-83 SEMOD-1-84 SEMOD-1-85	5 out of 6	Practice problem set solutions (PDF) SEMOD-1-80-Key SEMOD-1-81-Key SEMOD-1-82-Key SEMOD-1-83-Key SEMOD-1-84-Key SEMOD-1-85-Key
Writing Systems of Equations	Write a system of equations to model a problem; then solve the system and check the solution. Sample: The difference of George's age and Madison's age is 9 years. The sum of 6 times George's age and 5 times Madison's age is 153. How old is each?	Practice problem sets (PDF) SEMOD-3-80 SEMOD-3-81 SEMOD-3-82 SEMOD-3-83	3 out of 3	Practice problem set solutions (PDF) SEMOD-3-80-Key SEMOD-3-81-Key SEMOD-3-82-Key SEMOD-3-83-Key
Sample Word Problems	For each of these word problems, students should be able to: Write a system of equations that models the propblem Choose an appropriate method for solving the system - graphing, substitution, linear combinations Solve the system (for all variables) Check the solution (in all equations) algebraically Samantha has $3.40 in dimes and quarters. The number of dimes is 8 less than the number of quarters. How many coins of each type does she have? A piggy bank has $4.30 in dimes and quarters. If the number of dimes is 7 more than 2 times the number of quarters, how many coins of each type are in the piggy bank? George's age is 5 times Kendell's age. The sum of their ages is 48. Find the age of each. The difference of Jimmy's age and Linda's age is 10 years. The sum of 5 times Jimmy's age and 4 times Linda's age is 104. How old is each? There were 235 people at a movie to raise funds for the drama club. Admision was $8.00 for each adult and $4.00 for each student. The total receipts for all tickets was $1504.00. How many adults and how many students attended? The length of a rectangle is 11 m less than 5 times the width. The perimeter is 434 m. Find the length and width of the rectangle. George scored 13 more points than twice as many as Roy did. Their combined score was 40 points. How many points did each score? The difference of Jen's age and Mark's age is 6 years. The sum of 4 times Jen's age and 3 times Mark's age is 108. How old is each?