8b Linear equations

Natural events can be describe by mathematics equations.  WOW!

Objectives

Glencoe Mathematics:  Pre-Algbra

Chapter 8:  Functions and graphs

(p. 366-431)


Linear (straight line) equations

8.5.1 Find rates of change

8.5.2 Solve problems involving direct variation


8.6.1 Determine slopes and y-intercepts of lines

8.6.2 Graph linear equations using slope and y-intercept


8.7.1 Write equation given the slope and y-intercept, a graph, a table, or two points (for straight lines)


8.8.1 Draw best fit lines for sets of data

8.8.2 Use best fit lines to make predictions about data


8.9.1 Solve systems of linear equations by graphing

8.9.2 Solve systems of linear equations by substitution


8.10.1 Graph linear inequalities

8.10.2 Describe solutions of linear inequalities


04.01 Tuesday

Objective:  

(1) 8.5 - 8.10 assessment, (2) tool assessment


Lesson:  

(1)  Test  

Assignment:  

Complete problems on handout...


03.31 Monday

Objective:  

8.10.1 Graph linear inequalities

8.10.2 Describe solutions of linear inequalities


Lesson:  

(1)  Review this unit.  Students make-up review questions on unit (chapter) 8:  (8-5) copy and solve 2 questions; (8-6) copy and solve three questions; (8-7) (i) write one equation given slope and y-intercept; (ii) write equation given graph; (iii) write one equation given two data points; (iv) write one equation from data table. (8-8) omit this trivial section; no questions.  (8-9) (i) one question with one solution; (ii) one question with no solution; (iii) one question with infinite solutions.

Assignment:  

See above.  Assignment due next class; Tuesday.


03.20 Thursday

Objective:  

[Skipped best fit line since it treated in a trivial manner and does not develop math thinking.]

8.9.1 Solve systems of linear equations by graphing

8.9.2 Solve systems of linear equations by substitution


Lesson:  

(1)  Demonstrate how two equations can be manipulated to solve for a single variable and then that variable be used back in the original equations; text p.414.  (2) Give students homework using handouts. 

Assignment:  

Complete problems on handout...


03.18 Tuesday

Objective:  

8.7.1 Write equation given the slope and y-intercept, a graph, a table, or two points (for straight lines)


Lesson:  

(1) Demonstrate how to write linear equations from: slope & intercept data (p. 404), graph (p. 405), two points (p. 406).

Assignment:  

Complete #11 p. 407 - #32 p. 408.


03.17 Monday

Objective:  

8.6.1 Determine slopes and y-intercepts of lines

8.6.2 Graph linear equations using slope and y-intercept


8.7.1 Write equation given the slope and y-intercept, a graph, a table, or two points (for straight lines)


Lesson:  

This is one of the coolest lessons I did in math:  (1) Using three equations from the text:  y=-2x+1 and y=-2x+1 and y=(1/3)x+(-3) I had students • graph all the lines, • find y intercept each line, • find x intercept for each line, • determine slope for each line.  (2) This took most of the period and even though we just studied those topics, students took  long time to complete this. (3) Next we reviewed the answers that students got (sadly many were not even correct...) and I pointed out how the intercepts and slopes were actually written into the equations!  Students were dazed that they had worked so hard to find something that was already apparent.  It was an excellent lesson on power of math (a specific form of equation reveals so much) and made students pay attention to this "slope intercept form" of "y=mx+b"  The lesson worked so well that I used it in 6th grade math too.  Those students literally shouted at the final revelation claiming that I had tricked them.  :)  It was definitely an "Wow-I get it!" lesson for most of the students.

Assignment:  

Did not write it down.


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