Solve Linear Systems with at least three equations and three variables. Use various methods to solve real world problems.ĭetermine the most efficient way to solve a real world problem involving system of linear or nonlinear.īig Idea 3: Methods for solving real world or mathematical two variable systems of equations can be extended to three variable systems of equationsīig Idea 3 Lessons 1-3 Overview(includes links to teacher notes and student activities) Identify the meaning of the solution in the given context.ĭemonstrate how to solve a system of linear equations using matrix operations using Desmos or graphing calculator. Graph the equations to verify the solution. Solve systems of linear equations using matricesĬreate a matrix equation from a system of linear equations. Verify solutions using Desmos or graphing calculator. Organize information into appropriate size matrices and perform arithmetic operations. Use matrices to organize mathematical and real world information. Error Analysis Performance Assessment (covers A2.D.1.2 and A2.D.2.2)- For access to scoring rubric and student samples, complete the NextThought PLC Common Assessment Discussion, Implementation, and Analysis training module.Big Idea 2 Lessons 1-3 Overview (includes links to teacher notes and student activities).Develop a strategy for best system solving methods.īig Idea 2: Real world data can be represented, organized and solved using systems of equations Identify best methods by analyzing the characteristics of problems. Recognize the equations of a given system contain similar terms and use elimination to create equivalent functions and determine the solution setĬompare and contrast the different strategies to solve systems of equations. Verify solutions algebraically or graphically (using technology) Rearrange function rules to isolate a particular term (Usually the 2nd best method to solve nonlinear systems.) Recognize the equations of the given system contain a set of equivalent terms and use substitution to determine a solution set. Solve systems of equations using various algebraic methods Use technology, such as Desmos or graphing calculator to validate findings. Use constraints from the given situation to justify reasoning. Graph a system of inequalities such as the list above and explain the mathematical meaning of each shaded portion of a systemĬonjecture and determine when a system has zero, one, multiple or infinite solutions. (extension: mix up the combinations for example quadratic-cubic) Using technology, such as Desmos or graphing calculator, approximate and explain the mathematical meaning of intersection point(s) for linear-linear, linear-quadratic, linear-polynomial (degree > 2) linear-logarithmic, and linear-exponential systems. Piecewise functions can be used to model mathematical and real world situations.įormative Assessment after Big Idea 1: - Representing Inequalities Graphically from Mathematics Assessment Projectīig Idea 1: Two-variable systems can be solved using various methodsīig Idea 1 Lessons 1-3 Overview(includes links to teacher notes and student activities)Įvidence of Understanding Solve a system of equations or inequalities by graphing.Methods for solving real world or mathematical two variable systems of equations can be extended to three variable systems of equations.Real world data can be represented, organized and solved using systems of equations.Two-variable systems can be solved using various methods.How can we represent the same thing in multiple different ways?Ĥ Weeks (approximately 1 week per big idea)Ĭlick on the links below to see each Big Idea's Lesson Overview (includes links to teacher notes and student activities) How can we represent and analyze our solutions to problems? How can we apply our knowledge to model real-world situations? How can real world situations be modeled and solved by systems of equations?
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