I can find the rate of change of a linear relationship by figuring out the slope of the line representing the relationship.
5
More Linear Relationships
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.
6
Representations of Linear Relationships
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.
7
Translating to
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 .
13
On Both of the Lines
I can use graphs to find an ordered pair that two real-world situations have in common.
14
Systems of Equations
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.
15
Solving Systems of Equations
I can graph a system of equations.
I can solve systems of equations using algebra.
16
Solving More Systems
I can use the structure of equations to help me figure out how many solutions a system of equations has.
17
Writing Systems of Equations
I can write a system of equations from a real-world situation.
18
Organizing Data
I can organize data to see patterns more clearly.
19
What a Point in a Scatter Plot Means
I can describe the meaning of a point in a scatter plot in context.
20
Fitting a Line to Data
I can pick out outliers on a scatter plot.
I can use a model to predict values for data.
21
Describing Trends in Scatter Plots
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).
22
The Slope of a Fitted Line
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.
23
Observing More Patterns in Scatter Plots
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.
24
Looking for Associations
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.
25
Using Data Displays to Find Associations
I can create relative frequency tables, bar graphs, and segmented bar graphs from frequency tables to find associations among variables.
8
Slopes Don't Have to Be Positive
I can create a graph of a situation that has a negative slope.
I can determine if a situation or a graph has a slope that is positive, negative, or zero and explain how I know.
9
Calculating Slope
I can calculate positive and negative slopes given two points on the line.
10
Equations of All Kinds of Lines
I can write equations of lines that have a positive or a negative slope.
I can write equations of vertical and horizontal lines.
11
Solutions to Linear Equations
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.
12
More Solutions to Linear Equations
I can find solutions to linear equations given either the - or -value to start from.
1
Understanding Proportional Relationships
I can graph a proportional relationship from a story.
I can use the constant of proportionality to compare the pace of different animals.
2
Representing Proportional Relationships
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.
3
Comparing Proportional Relationships
I can compare proportional relationships represented in different ways.
26
Using Linear Relations to Solve Problems
I can write linear equations to reason about real-world situations.
27
Solving Problems with Systems of Equations
I can use a system of equations to represent a real-world situation and answer questions about the situation.
28
Gone in 30 Seconds
I can collect data and analyze it for associations using scatter plots, two-way tables, and segmented bar graphs.