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Acc7.5 Linear Relationships

I can graph a proportional relationship from a story.
I can use the constant of proportionality to compare the pace of different animals.

I can graph a proportional relationship from an equation.
I can scale and label coordinate axes in order to graph a proportional relationship.
I can tell when two graphs are of the same proportional relationship even if the scales are different.

I can compare proportional relationships represented in different ways.

I can find the rate of change of a linear relationship by figuring out the slope of the line representing the relationship.

I can interpret the vertical intercept of a graph of a real-world situation.
I can match graphs to the real-world situations they represent by identifying the slope and the vertical intercept.

I can use patterns to write a linear equation to represent a situation.
I can write an equation for the relationship between the total volume in a graduated cylinder and the number of objects added to the graduated cylinder.

I can explain where to find the slope and vertical intercept in both an equation and its graph.
I can write equations of lines using y=mx+b.

I can give an example of a situation that would have a negative slope when graphed.
I can look at a graph and tell if the slope is positive or negative and explain how I know.

I can calculate positive and negative slopes given two points on the line.
I can write equations of vertical and horizontal lines.

I know that the graph of an equation is a visual representation of all the solutions to the equation.
I understand what the solution to an equation in two variables is.

I can find solutions $(x, y)$ to linear equations given either the $x$- or the $y$-value to start from.

I can use graphs to find an ordered pair that two real-world situations have in common.

I can explain the solution to a system of equations in a real-world context.
I can explain what a system of equations is.
I can make graphs to find an ordered pair that two real-world situations have in common.

I can graph a system of equations.
I can solve systems of equations using algebra.

I can use the structure of equations to help me figure out how many solutions a system of equations has.

I can write a system of equations from a real-world situation.

I can organize data to see patterns more clearly.

I can describe the meaning of a point in a scatter plot in context.

I can pick out outliers on a scatter plot.
I can use a model to predict values for data.

I can draw a line to fit data in a scatter plot.
I can say whether data in a scatter plot has a positive or negative association (or neither).

I can use the slope of a line fit to data in a scatter plot to say how the variables are connected in real-world situations.

I can analyze a set of data to determine associations between two variables.
I can pick out clusters in data from a scatter plot.
I can use a scatter plot to decide if two variables have a linear association.

I can identify the same data represented in a bar graph, a segmented bar graph, and a two-way table.
I can use a two-way frequency table or relative frequency table to find associations among variables.

I can create relative frequency tables, bar graphs, and segmented bar graphs from frequency tables to find associations among variables.

I can write linear equations to reason about real-world situations.

I can use a system of equations to represent a real-world situation and answer questions about the situation.

I can collect data and analyze it for associations using scatter plots, two-way tables, and segmented bar graphs.