Unit 3
investigating linear expressions, equations, & inequalities in one variable
IN THIS UNIT STUDENTS WILL BE EXPECTED TO:
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LEARNING OBJECTIVES
8.PAR.3.1 Interpret expressions and parts of an expression, in context, by utilizing formulas or expressions with multiple terms and/or Factors.
8.PAR.3.2 Describe and solve linear equations in one variable with one solution (x = a), infinitely many solutions (a = a), or no solutions
(a = b). Show which of these possibilities is the case by successively transforming the given equation into simpler forms, until an equivalent equation of the form x = a, a = a, or a = b results (where a and b are different numbers).
8.PAR.3.6 Use algebraic reasoning to fluently manipulate linear and literal equations expressed in various forms to solve relevant mathematical problems.
8.PAR.3.3 Create and solve linear equations and inequalities in one variable within a relevant, real-life application.
8.PAR.3.4 Using algebraic properties and the properties of real numbers, justify the steps of a one-solution equation or inequality.
8.PAR.3.5 Solve linear equations and inequalities in one variable with coefficients represented by letters and explain the solution based on the contextual, mathematical situation.
8.PAR.3.2 Describe and solve linear equations in one variable with one solution (x = a), infinitely many solutions (a = a), or no solutions
(a = b). Show which of these possibilities is the case by successively transforming the given equation into simpler forms, until an equivalent equation of the form x = a, a = a, or a = b results (where a and b are different numbers).
8.PAR.3.6 Use algebraic reasoning to fluently manipulate linear and literal equations expressed in various forms to solve relevant mathematical problems.
8.PAR.3.3 Create and solve linear equations and inequalities in one variable within a relevant, real-life application.
8.PAR.3.4 Using algebraic properties and the properties of real numbers, justify the steps of a one-solution equation or inequality.
8.PAR.3.5 Solve linear equations and inequalities in one variable with coefficients represented by letters and explain the solution based on the contextual, mathematical situation.
LEARNING TARGET
- I can explain why the slope, m, is the same between any two distinct points.
- I can demonstrate a conceptual understanding of slope.
- I can compare two different proportional relationships given different representations.
- I can identify the similarity of a graph of y = mx and y = mx + b.
- I can determine the change of a linear equation when the starting point is not zero.
- I can explain that the graph of an equation represents the set of all its solutions.
- I can analyze a graph to determine if it is a function.
- I can interpret graphs as linear or non-linear.
- I can sketch a graph of a real-world situation to depict the behavior of the function.
- I can determine the domain of a graph and explain its meaning.
- I can compare the properties of two functions presented in different ways using real world situations.
- I can convert an equation in standard form or point-slope form into slope intercept form.
- I can determine the y intercept and slope in a linear equation.
- I can describe the significance of the y intercept and the slope in real world situations.
- I can write a linear function in different forms from a real-world situation.
- I can find the slope and y-intercept given a table, verbal description, and graph
- I can write a linear equation given a table, verbal description, and graph.
- I can use the calculated slope and y-intercept to predict and interpret how they relate to situational data in real world applications.
- Given point-slope formula, standard form, and slope-intercept form of linear equations, I can identify how slope and y-intercept relate to real world situations.