In this topic, students will:
combine like terms
solve equations with like terms on one side of the equation
make sense of scenarios and represent them with equations
solve equations with like terms on both sides of the equation
make sense of scenarios and represent them with equations
plan multiple solution pathways and choose one to find the solution
determine the number of solutions to an equation
analyze equations, linear graphs, and tables to find unit rates and compare proportional relationships
find the slope of a line using different strategies
interpret a slope in context and relate it to steepness on a graph
understand how the constant of proportionality and the slope relate in a linear equation
write a linear equation in the form y = mx when the slope is given
graph a linear equation in the form y=mx
interpret and extend the table or graph of a linear relationship to find its y-intercept
analyze graphs in context to determine and explain the meaning of the y-intercept
graph a line from an equation in the form y=mx+b
Write an equation that represents the given graph of a line
Vocabulary:
Slope - the steepness of a line otherwise calculated as the change in the x value and the change in the y value
Y-intercept - the location where a line or graphed equation touches the y-axis
slope-intercept form - the equation of a straight line in the form y = mx + b where m is the slope of the line and b is its y-intercept