Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Cubic function wikipedia , lookup
Quadratic equation wikipedia , lookup
Basis (linear algebra) wikipedia , lookup
Bra–ket notation wikipedia , lookup
Elementary algebra wikipedia , lookup
Signal-flow graph wikipedia , lookup
Linear algebra wikipedia , lookup
System of polynomial equations wikipedia , lookup
North East School Division Unpacking Outcomes Unpacking the Outcome Solveproblems that involve systems of linear equations graphically algebraically Outcome (circle the verb and underline the qualifiers) FP10.10 Solve problems that involve systems of linear equations in two variables, graphically, and algebraically. KNOW Vocabulary: - Linear equation - Variables - Graphically, algebraically - Intersecting point - Verifying solutions - Numerical coefficient - Horizontal / vertical - Parallel, intersecting lines How to sketch a graph on x-y axis (coordinate plane) - Ordered pairs (x,y) - Graphing with and without technology - Manipulate, using algebra, a linear equation that solves for a variable UNDERSTAND 1. That a system of linear equations can be solved by a variety of methods. 2. That the ordered pair of the intersecting point is the solution of the two linear equations. 3. That linear systems are able to be multiplied or divided by a non-zero number. 4. That equivalent systems of equations can be obtain by adding or subtracting a given set of linear equations. 5. That two linear equations may have one solution, infinite solutions, or no solutions. BE ABLE TO DO 1) Create and solve a linear system to model a situation. 2) Verify the solution of a linear system. 3) Develop, explain and apply strategies for solving systems graphically. 4) Solve linear equation by elimination method (multiply or divide linear equations by non-zero number to produce an equivalent numerical coefficient, and add or subtract the linear equations to reduce variables). 5) Solve linear equations by substitution method (solve for one variable and substitute that variable into the other linear equation). 6) Solve linear equations by selecting the strategy of their choice. 7) Match graphs to linear equations. ESSENTIAL QUESTIONS 1. How do linear equations relate to a situation? 2. Which strategy works best for you in solving systems of linear equations? 3. Why is one strategy to solve a system of linear equations more suited for a certain situation than another? 4. What does a problem involving a system of linear equations look like? 5. What factors determine the number of solutions for a system of linear equations.