# Q2 W3 Nov 16-Nov 20 Algebra 1 Teacher Stephanie Durrance Algebra 1 Honors 7th/8th 3 Unit 5 – Systems of Linear Equations and Inequalities
Standard(s) Taught

MAFS.912.A-REI.3.6: Solve systems of linear equations exactly and approximately (with graphs), focusing on pairs of linear equations in two variables.

MAFS.912.A-REI.4.12: Graph the solution set to a system of linear inequalities in two variables as the intersection of corresponding halfplanes.

Learning Targets and Learning Criteria

• explain why and identify when some linear systems have no solutions or infinitely many solutions. • identify systems whose solutions would be the same through examination of the coefficients. • solve a system of linear equations algebraically (by substitution or elimination) to find an exact solution. • graph a system of linear equations using appropriate axis labels and scale and determine the approximate solution by estimating the point of intersection. • explain the steps in an algebraic proof that shows one equation being replaced with another to find a solution for a system of equations. • explain why a method was chosen when solving a system of equation.

• define linear inequality, half-plane, and boundary. • graph a linear inequality of a coordinate plane, resulting in a boundary line (solid or dashed) and a shaded half-plane. • graph the solution set to a system of linear inequalities on a coordinate plane. • explain that the solutions set for a system of linear inequalities is the intersection of the shaded regions (half-planes) of both inequalities. • verify points in the intersection of the half-planes to check if they represent a solution to the system. solve problems involving a single linear inequality or systems of linear inequalities graphically.

Classroom Activities

Innovative Students – Log into Zoom on time and begin working on bellringer. Be prepared to follow the schedule of activities below.

Monday/Tuesday:
Bellringer:
Brain Teaser
Whole Group:
ISN: Page 23. Systems of Inequalities
Algebra Nation Book – P. 71-73 Finding solution sets to systems of linear inequalities
Small Groups:
Kuta worksheet – Graphing systems of inequalities
Independent:
Khan Academy – Systems of inequalities graphs (4 questions)

Wednesday:
Bellringer:
Brain Teaser
Whole Group:
Kahoot! Review for DIA 3 on Linear Functions and Inequalities/Systems of Equations and Inequalities

Thursday/Friday:
Bellringer:
Brain Teaser
Whole Group:
Finish Review for DIA 3
Independent:
DIA 3 on Linear Functions and Inequalities/Systems of Equations and Inequalities
Early Finishers:
Finish Khan Academy assignments

All IEP and ESOL accommodations provided daily.

Assignments Due

Graphing inequalities worksheet, DIA 3, Khan Academy – Recursive formula, Explicit formula, Slope-intercept equation from graph, Systems of inequalities graphs

Additional Resources

Khan Academy videos – type any topic in search bar followed by Khan Academy to find an instructional video for additional support.
https://www.khanacademy.org/

IXL – Provides support for any grade level math standard.

Algebra Nation – Provides additional support based on unit of study.

Edgenuity – https://www.edgenuity.com/