graphing
Systems of Equations
Grab a warm-up from the wooden desk
Goals:
Warm-up #1
Graph the equations given.
y = x
y = -x
y = x+3
Warm-up #2
Graph the equations by finding the x- and y-intercepts.
2x+y=4
x+y = 3
x | y |
0 | |
| 0 |
x | y |
0 | |
| 0 |
Warm-up #1
Graph each of the given parent functions.
Log on to student.desmos.com
Systems of equations guided notes
Use the desmos graphing calculator to determine the number of solutions to each of the systems below. When possible, record the solution to the system. Round to the nearest tenth when necessary. Note that when equations are written in compatible forms that it is easier to compare their key characteristics.
Use the desmos graphing calculator to determine the number of solutions to each of the systems below. When possible, record the solution to the system. Round to the nearest tenth when necessary. Note that when equations are written in compatible forms that it is easier to compare their key characteristics.
1
1
1
1
1
1
(0.6, 0.8)
(0.2, -0.2)
(-0.6, 3.8)
(0.2, 1.8)
(9, 0)
(-7.5, 4)
infinite
infinite
infinite
0
0
0
Use the desmos graphing calculator to determine the number of solutions to each of the systems below. Round the solutions to the nearest tenth when necessary.
Use the desmos graphing calculator to determine the number of solutions to each of the systems below. Round the solutions to the nearest tenth when necessary.
Use the desmos graphing calculator to determine the number of solutions to each of the systems below. Round the solutions to the nearest tenth when necessary.
Tell me What you Learned Today!
Algebra Homework: Delta Math A11:Systems
3 THINGS YOU ALREADY KNEW
2 THINGS YOU LEARNED
1 QUESTION
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graphing
Systems of Equations
(Day 3)
Grab a warm-up from the wooden desk
Goals:
Warm-up #1
Warm-up #2
Log on to Student.desmos.com
Kahoot!
Independent Practice: Delta Math
Resources
Mod 5 Standards
�A.REI.5 Verify that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions.
A.REI.6 Solve systems of linear equations algebraically and graphically.�A. Limit to pairs of linear equations in two variables
A.REI.7 Solve a simple system consisting of a linear equation and a quadratic equation in two variables algebraically and graphically. For example, find the points of intersection between the line y=-3x and the circle x^2+y^2=3.
A.REI.10 Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line).
A.REI.11 Explain why the x-coordinates of the points where the graphs of the equation y=f(x) and y=g(x) intersect are the solutions of the equation f(x)=g(x); find the solutions approximately, e.g., using technology to graph the functions, making tables of values, or finding successive approximations.
A.REI.12 Graph the solutions to a linear inequality in two variables as a half-plane (excluding the boundary in the case of a strict inequality), and graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes.
Future resources?
Solve. Crumple. Toss!
This game is designed to practice solving!
1st: SOLVE the set of problems
2nd: CRUMPLE after ALL answers are correct
3rd: TOSS from the 1 point, 2 point or 3 point line!
REPEAT!
Students will be expected to track their own points.
Warm-up
Warm-up
Warm-up #1
Warm-up #2
Warm-up #1
Warm-up #2
Graph the equations on the same coordinate plane to find the point they share.