Unit Resources

Mini-Unit: Scatter Plots
  
Essential Questions
EQ 1What does the slope of a trend line indicate about the underlying data?

Learning Objectives, Skills and textbook Correlations
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
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
    5-7 Scatter Plots and trend Lines

Online Resouces

  • Homework answer key HW-5-7-Key.pdf problems 7 - 29, with more details for the even problems 20-28. This is a pdf of the answers reviewed in class.

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
  • Main things you will be quizzed/tested/assessed on include being able to create a scatter plot from a table of data; identify from a scatter plot whether there seems to be a positive correlation, negative correlation, or no correlation.

  • Over time, with more practice you will be able to interpret the correlation correficient and make judgements as to whether a linear model is appropriate for a group of data.

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 See homework assignments for practice problems 3 out of 4
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. 5 out of 6
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) 3 out of 3 Practice problem set solutions (PDF)
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?

Prior Units

Unit 5 Linear Equations