I know that a function allows us to make predictions about the distance an object moves in any time interval. Students calculate average speed of a moving object over specific time intervals.
I know that constant rate cannot be assumed for every situation and use proportions to analyze the reasoning involved.
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M5L1 Notes
M5L1 Problem Set
Khan Assignments
Friday Fun Day
I know that a function assigns to each input exactly one output.
I know that some functions can be expressed by a formula or rule, and when an input is used with the formula, the outcome is the output.
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M5L2 Notes
M5L2 Problem Set
Khan Assignments
Friday Fun Day
I can relate constant speed and proportional relationships to linear functions using information from a table.
I know that distance traveled is a function of the time spent traveling and that the total cost of an item is a function of how many items are purchased.
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M5L3 Notes
M5L3 Problem Set
Khan Assignments
Friday Fun Day
I can examine and recognize real-world functions, such as the cost of a book, as discrete rates.
I can examine and recognize real-world functions, such as the temperature of a pot of cooling soup, as continuous rates.
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M5L4 Notes
M5L4 Problem Set
Khan Assignments
Friday Fun Day
I know that since two equations in the form ax + by = c and a'x + b'y = c' graph as the same line when a'/a = b'/b = c'/c, then the system of linear equations has infinitely many solutions.
I know a strategy for solving a system of linear equations algebraically.
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M4L27 Notes
M4L27 Problem Set
Khan Assignments
End of Mod on Friday
I can use the elimination method for solving a system of linear equations.
I can use properties of rational numbers to find a solution to a system, if it exists, through computation using substitution and elimination methods.
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M4L28 Notes
M4L28 Problem Set
Khan Assignments
End of Mod on Friday
I can write word problems into systems of linear equations.
I can solve systems of linear equations using elimination and substitution methods.
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M4L29 Notes
M4L29 Problem Set
Khan Assignments
End of Mod on Friday
I can solve systems of linear equations using graphing, elimination and substitution methods.
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End of Mod 4 Review
Khan Assignments
End of Mod on tomorrow
I can solve systems of linear equations using graphing, elimination and substitution methods.
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End of Mod 4 Assessment
Khan Assignments
I can create a stained glass window by grpahing linear equations in the form of y=mx+b.
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Finish Stained Glass Window Project
Desmos - Intro to Systems of equations
Khan Assignments
I know that a system of linear equations, also known as simultaneous equations, is when two or more equations are involved in the same problem and work must be completed on them simultaneously. Students also learn the notation for simultaneous equations.
I can compare the graphs that comprise a system of linear equations, in the context of constant rates, to answer questions about time and distance.
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M4L24 Notes
M4L24 Problem Set
Khan Assignments
I can graph two equations and find the point of intersection.
I can identify the point of intersection of the two lines as the solution to the system.
I can verify by computation that the point of intersection is a solution to each of the equations in the system.
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M4L25 Notes
M4L25 Problem Set
Khan Assignments
I know that when a system of linear equations has no solution, i.e., no point of intersection of the lines, then the lines are parallel.
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M4L26 Notes
M4L26 Problem Set
Khan Assignments
I know that since two equations in the form ax + by = c and a'x + b'y = c' graph as the same line when a'/a = b'/b = c'/c, then the system of linear equations has infinitely many solutions.
I know a strategy for solving a system of linear equations algebraically.
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Math Binder
Math Notebook
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Growth Mindset
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M4L27 Notes
M4L27 Problem Set
Khan Assignments
I know that any non-vertical line is the graph of a linear equation in the form of y = mx + b, where b is a constant.
I can write the equation that represents the graph of a line.
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M4L20 Notes/Exercises
M4L20 Problem Set
Khan Assignments
Quiz on Thursday (L15-20)
I can write the equation of a line given two points or the slope and a point on the line.
I know the traditional forms of the slope formula and slope-intercept equation.
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M4L21 Notes/Exercises
M4L21 Problem Set
Khan Assignments
Quiz on Thursday (L15-20)
I know that any constant rate problem can be described by a linear equation in two variables where the slope of the graph is the constant rate.
I can compare two different proportional relationships represented by graphs, equations, and tables to determine which has a greater rate of change.
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M4L22 Notes/Exercises
M4L22 Problem Set
Khan Assignments
Quiz on Thursday (L15-20)
I can take a quiz on Lesson 15 through Lesson 20 about slope and slope intercept equations.
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Quiz on Thursday (L15-20)
Khan Assignments
I can create a stained glass window by grpahing linear equations in the form of y=mx+b.
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Stained Glass Window Slope Project
Khan Assignments
I can explain that slope is a number that describes the steepness or slant of a line.
I can interpret the unit rate as the slope of a graph.
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M4L15 Notes/Exercises
M4L15 Problem Set
Khan Assignments
I can use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane.
I can use the slope formula to compute the slope of a non-vertical line.
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M4L16 Notes/Exercises
M4L16 Problem Set
Khan Assignments
I can show that the slope of a line joining any two distinct points of the graph of y = mx + b has slope, m.
I can transform the standard form of an equation into y = -(a/b)x + (c/b).
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M4L17 Notes/Exercises
M4L17 Problem Set
Khan Assignments
I can graph equations in the form of y = mx + b using information about slope and y-intercept.
I know that if they have two straight lines with the same slope and a common point that the lines are the same.
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M4L17 Notes/Exercises
M4L17 Problem Set
Khan Assignments
I can predict the shape of a graph of a linear equation by finding and plotting solutions on a coordinate plane.
I can informally explain why the graph of a linear equation is not curved in terms of solutions to the given linear equation.
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M4L13 Notes/Exercises
M4L13 Problem Set
Khan Assignments
Study for Mid Mod Assessment 4 on Thursday
I can graph linear equations in standard form, ax + by = c (a or b = 0), that produce a horizontal or a vertical line.
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M4L14 Notes/Exercises
M4L14 Problem Set
Khan Assignments
Study for Mid Mod Assessment 4 on Thursday
I can review for the Mid Mod 4 Assessment on Thursday.
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Mid Mod 4 Review Packet
Solving Equations Jeopardy
Khan Assignments
Study for Mid Mod Assessment 4 tomorrow
I can take the Mid Mod 4 Assessment.
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Mid Mod 4 Assessment
Khan Assignments
None
I can rewrite and solve equations that are not obviously linear equations using properties of equality.
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M4L8 Notes/Exercises
M4L8 Problem Set
Khan Assignments
I know how to rewrite an exponential expression that represents a series as a linear equation.
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M4L9 Notes/Exercises
M4L9 Problem Set
Khan Assignments
I can work with proportional relationships in terms of average speed and constant speed in order to write a linear equation in two variables.
I can use linear equations in two variables to answer questions about distance and time.
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M4L10 Notes/Exercises
M4L10 Problem Set
Khan Assignments
I know the definition of constant rate in varied contexts as expressed using two variables where one is t representing a time interval.
I can graph points on a coordinate plane related to constant rate problems.
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M4L11 Notes/Exercises
M4L11 Problem Set
Khan Assignments
I can use a table to find solutions to a given linear equation and plot the solutions on a coordinate plane.
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M4L12 Notes/Exercises
M4L12 Problem Set
Khan Assignments