Graphing a linear function
1 What is a function - Hook
Teacher will show video describing elements of a graphing a linear function.
Teacher will introduce vocab
Teacher will address prior knowledge to ensure students understand a function involves one input and one output
Students will write and record vocab and definitions
2 How to graph a Function - Direct instruction
Teacher will write equation y=2x+5 on smartboard
Teacher will highlight the 2 and 5 and ask students to define the difference between a whole number and a coefficient of a variable
Teacher will explain that the 2 is a rate of change and the 5 represents the y-intercept and redefine those terms.
Teacher will mark a point on the graph at (0,5) explaining this is the y-intercept because x has a value of 0 and the line of the equations passes through the y-axis at 5
Teacher will count the rate of change, also known as rise over run or slope on the graph by counting 2 squares upwards and one across
Students will use whiteboards to note down everything teacher is doing.
Students will use graph paper to copy down graph teacher is drawing
3 Graphing the function - Guided practice
Students will be asked to complete graphs from equations and complete equations from given graphs.
Students will use desmos calculator to graph their own equations.
They will complete equations for given graphs by filling in missing rate of change and or y-intercept
4 Graphing mini quiz
Teacher will direct students to use their chromebooks or other available device to access a teacher made quiz on quizlet.
This will CFU with vocab, procedures, and independent skill level
Students will log on to chromebooks and follow the link on their google classroom to access quizlet quiz
5 Wrap up
Teacher will issue a ticket out the door to all students and give them 5 minutes to complete the questions
Students will complete a TOTD
They will highlight and label an equations for m and b
they will correctly identify those elements on a graph
Key Standards Supported
Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values.
Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear). Sketch a graph that exhibits the qualitative features of a function that has been described verbally.