Algebra- Second 9 weeks
Algebra- Second 9 weeks
This curriculum map is a constantly monitored and edited document by building specific administration and teachers. Changes may occur throughout the school year to stay updated with state requirements. Any questions regarding content should be directed towards the teacher of your child’s class or content area.
The second 9 weeks of Algebra focuses on three (3) main units:
Pythagorean Theorem
Linear Functions/Applications
Systems of Equations/Applications
I can understand how to use inductive reasoning to make conjectures.
I can use inductive reasoning to explain the Pythagorean Theorem.
I can draw a diagram and use the Pythagorean Theorem to solve real world problems involving right triangles.
I can apply the Pythagorean Theorem to find an unknown side length of a right triangle.
I can create a right triangle given two points on a coordinate grid.
I can apply the Pythagorean Theorem to find the distance between two points in a coordinate system.
I can write a linear equation given its graph (in various forms)
I can identify the slope and y-intercept given a graph, equation, or table.
I can write a linear equation given the slope and a point on the line.
I can write a linear equation given two points on the line.
I can write the equation of a line that is parallel to a given line and through a given point.
I can write the equation of a line that is perpendicular to a given line and through a given point.
I can write the equation of a linear function to model a real-world situation.
I can translate among linear representations.
I can identify the slope and y-intercept of a linear function in the context of a real-world situation.
I can interpret the slope and y-intercept of a linear function that represents a real-world situation.
I can identify a linear function as being written in either slope-intercept form, point-slope form, or standard form.
I can manipulate a linear function written in any form to another form.
I can identify the benefits of writing a linear function in various forms.
I can graph absolute value functions with the use of a table
I can graph absolute value functions by using transformation rules
I can identify the solution to a system of linear equations given the graph as the point of intersection.
I can substitute the point of intersection of a system of linear equations into each equation to verify the point of intersection is the solution to the pair of linear equations.
I can approximate the solution to a system of linear equations graphically and assess the reasonableness of my estimation.
I can use the elimination method for solving a system of two linear equations.
I can determine the factor by which one equation should be multiplied to create an equivalent system of linear equations.
I can use the substitution method for solving a system of two linear equations.
I can identify if a system of two linear equations has one solution, no solution, or infinitely many solutions graphically.
I can identify if a system of two linear equations has one solution, no solution, or infinitely many solutions algebraically.
I can write a system of linear equations to represent a real-world problem.
I can solve a system of linear equations representing a real-world problem using any method (graphing, elimination, substitution).
I can interpret and assess the solution to a system of linear equations representing a real-world problem.
I can write a system of linear inequalities in two variables to represent a real-world problem.
I can graph a system of linear inequalities in two variables and identify the solution set.
I can decide if the solution set of a system of linear inequalities is reasonable in context.
8.AF.1: Solve linear equations and inequalities with rational number coefficients fluently, including those whose solutions require exp
AI.L.3: Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Find the equation of a line, passing through a given point, that is parallel or perpendicular to a given line.
AI.L.4: Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts.
AI.L.5: Translate among equivalent forms of equations for linear functions, including slope-intercept, point-slope, and standard. Recognize that different forms reveal more or less information about a given situation.
AII.PR.2: Graph relations and functions including polynomial, square root, and piecewise-defined functions (including step functions and absolute value functions) with and without technology. Identify and describe features, such as intercepts, zeros, domain and range, end behavior, and lines of symmetry.
AI.SEI.1: Understand the relationship between a solution of a system of two linear equations in two variables and the graphs of the corresponding lines. Solve pairs of linear equations in two variables by graphing; approximate solutions when the coordinates of the solution are non-integer numbers.
AI.SEI.2: 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, including cases with no solution and infinitely many solutions. Solve systems of two linear equations algebraically using elimination and substitution methods.
AI.SEI.3: Write a system of two linear equations in two variables that represents a real-world problem and solve the problem with and without technology. Interpret the solution and determine whether the solution is reasonable.
AI.SEI.4: Represent real-world problems using a system of two linear inequalities in two variables. Graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes with and without technology. Interpret the solution set and determine whether it is reasonable.
See Canvas for links to Notes, Homework assignment, online activities as well as listed in class activities.