Linear functions (Linjära funktioner)

Ämne / Topic

Graphing linear functions and writing out the function when given the graph.

Inlärningsmål / Learning Goals

Be able to write the linear function when given the graph.

Be able to graph linear functions.

Google Slides & Videos

What is a linear function?

Linear Function is a function whose graph is a straight line. A linear function has the following form f(x) = kx + m. A linear function has a dependent variable and an independent variable. The dependent variable is y and the independent variable is x. The coefficient "m" is the slope/growth/rate of change while the constant "b" is the y-intercept/starting value.

The straight line equation

Any straight line graph can be described by the following equation: y=mx+c, where x and y are the coordinates the line passes through, m is the gradient and c is the y-intercept (the y-coordinate where the line crosses the y axis).

3. Aktiviteter / Key Activities

4. Kolla vad eleverna kan / Check for understanding / Exit ticket

5. Stängning / Closure / Summary of lesson

Take up difficult problems from levelled questions on the board.

y = -4x - 8 is a linear function.

a. Is the line rising or falling?

b. At point does the line intersect the y-axis?

c. At what point does the line intersect the x-axis?

Resurser & Materiel / Resources & Materials

http://webbapp.liber.se/matematikboken-z/#

http://webbapp.liber.se/matematikboken-z/#/4-samband-och-forandring

Ett pg. 185 no. 4079 abcd

Två pg. 187 no. 4085

Tre pg. 187 no. 4087 abc, 4088 abc, 4089 ab, 4090

Fyra pg. 188 no.4092 abcd, 4093 abc, 4094, 4095 abc.