OBJECTIVES & STANDARDS
Math Objectives
Define quantities in a word problem algebraically
Generate standard form equations from word problems
Graph standard form equations on the coordinate plane
Interpret the meaning of intercepts and intersections
Common Core Math Standards
Link to all CCSS Math
Personal Finance Objectives
Quantify financial constraints
Evaluate trade-offs in spending and budgeting choices
National Standards for Personal Financial Education
Saving
9a: Explain how external influences (e.g. peers, family, or social media) can impact personal savings decisions
DISTRIBUTION & PLANNING
Distribute to students
OBJECTIVES & STANDARDS
Math Objectives
Define quantities in a word problem algebraically
Generate standard form equations from word problems
Graph standard form equations on the coordinate plane
Interpret the meaning of intercepts and intersections
Common Core Math Standards
Link to all CCSS Math
Personal Finance Objectives
Quantify financial constraints
Evaluate trade-offs in spending and budgeting choices
National Standards for Personal Financial Education
Saving
9a: Explain how external influences (e.g. peers, family, or social media) can impact personal savings decisions
DISTRIBUTION & PLANNING
Distribute to students
CALCULATE: Piggy Bank Math
Andre gets paid $5 a week for his allowance and $10 every time he mows his neighbor’s yard. He puts all his money into his piggy bank. His piggy bank contains $70 and has only $5 bills and $10 bills.
Rebekah guessed that the piggy bank contained five $5 bills. Could she be right? Why or why not?
Describe in words how you would solve for the number of $10 bills if there are exactly eight $5 bills in the piggy bank.
This is on your Notes Paper: Write answers in formative, and on your notes pages for reference.
Learn It #2 (after Desmos)
What is the real-world meaning of the y-intercept in this example?
What is the real-world meaning of the x-intercept in this example?
What is easy to see in slope-intercept form but is not so obvious in standard form?
What is easier to find using the standard form than using slope-intercept form?
Graphing Practice
Find the x and y intercepts and plot the line on the graph.
Graph 2x - 6y = 18
Check your answer in desmos: Screen shot desmos in Show your work.
Write an equation using variables that models the total value of the piggy bank based on the number of $5 bills and $10 bills inside. Use your description to help.
For Equation: 5x+10y=70
Plot the two intercepts and draw the line connecting them.
y-Intercept = (0,7)
x-Intercept=(14,0)
Graph: 9x + 2y = 18
Check your answer in desmos: Screen shot desmos in Show your work.
Graph: -4x - 8y = 12
Check your answer in desmos: Screen shot desmos in Show your work.