Math 2 Lesson Plans

Essential vocabulary: Change, Coordinate graph, coordinate pair, distance/time/rate of speed, income/cost/profit, pattern, relationship, rule, scale, table, variable, x-axis, x-coordinate, y-axis, y-coordinate

Summarize: To summarize, you must present just the main points. Details, illustrations, and examples are seldom included in a summary.

Investigation 5.1 - Graphing

Experiment with graphing and the following equations. Graph one set of equations at a time. Graph sets 1 and 4 with paper and pencil; Graph sets 2 and 3 using a computer program. For each set, two of the graphs will be similar in some way, and one of the graphs will be different. Answer questions A and B for each set.

	Setl:	y=3x-4		y=x2		y=3x+2
	Set2:	y=5		y=3x		y=lx
	Set3:	y=2x+3		y=2x-5		y=0.5x+2
	Set4:	y=2x		y=2+x		y=x+5

A Which two equations in the set have graphs that are similar? In what ways are the two graphs similar? In what ways are the equations for the two graphs similar? B Which equation in the set has a graph that is different from the graphs of the other equations? In what way is the graph different from the other graphs? In what way is the equation different from the other equations? Graph paper side 1 = set one graphs (3 on one grid) Graph Paper side 2 = set four graphs (3 on one grid) Graph Paper side 4 = set 3 traced graphs on one grid Graph paper side 4 = set 4 traced graphs on one grid Notepaper side 1 = 6 xy tables for sets 1 and 4 Notepaper side 2 = 6 xy tables copied from WinPlot Notepaper side 3 = Answers to Questiona A and B (each set has 3 answers) Notepaper side 4 = Answers to problem 5.1 Follow-Up

OBJECTIVE: Check the GLE Numbers Here • To use a rule to generate a table or graph on the graphing calculator [GLE 1.5.1 Identify, extend, or represent patterns and sequences using tables, graphs, or expressions. [RL, MC]] •To use a graphing calculator to compare the tables and graphs of various rules; in particular, to decide whether a given rule defines a straight-line (linear) function by examining graphs [GLE 1.5.1 Use technology to generate graphic representations of linear relationships. [SP]][GLE 1.5.2 Use technology to determine the rule for a linear relationship. [SP, RL]] ACTIVITIES/ASSESSMENT: Continue work on the graphing of equations - 2 sets manual (tables, plots) and 2 sets digital (WinPlot) and transfer to graph paper by matching coordiantes. NOTES: HOMEWORK: Page 138 Additional Practice 4 #2 to end (due on 11-10)

OBJECTIVE: See 11-1 above. ACTIVITIES/ASSESSMENT: Final Day for Plots, manual and computer. Work on reminder of Additional Practice Handout for Unit 4 if finished. NOTES: HOMEWORK: Equation writing exercise.

Equation Writing Exercise

In these problems, use symbols to express the rule as an equation. Use single letters to stand for variables. Identify what each letter represents. Do the even numbered problems.

1. The area of a rectangle is the length multiplied by the width.
2. The area of a square is the side multiplied by the side.
3. Work = mass multiplied by acceleration.
4. Distance travelled is the rate of travel multiplied by the time in hours.
5. Taxi fare is $2.50 plus $1.25 per mile.
6. The profit is the total income less the total expenses.
7. The number of tacos needed for the party is three per student.
8. The area of a parallelogram is the base multiplied by the height.
9. Money earned is the rate of pay multiplied by the number of hours.
10.The amount of paper is ten pages per student.

Essential vocabulary: certain event, impossible event, chances, equally likely event, outcome, event, probability, experimental probability, theoretical probability

OBJECTIVE: Check the GLE Numbers Here [GLE 1.4.2 Understand and apply the procedures for determining the probabilities of multiple trials.] ACTIVITIES/ASSESSMENT: Start on page 5 'Flipping for Breakfast' Walk all pairs through the lab sheet procedure - be sure they understand the process. Do the Follow-Up. NOTES: New Texts: 'How LikeLy is It'(Lab sheets 1.1.a and 1.1.b) HOMEWORK: Page 10 6-10

OBJECTIVE: See 11-3 above. ACTIVITIES/ASSESSMENT: Start on page 7 go to page 8 and problem 1.2 'Analysing Events' Start on page 9 1-5 NOTES: HOMEWORK: P9 1-5

OBJECTIVE: Check the GLE Numbers Here [GLE3.2.1 Apply prediction and inference skills to make or evaluate conjectures. * Predict the probability of future events based on empirical data. [1.4.2] * Predict the probability of outcomes of experiments and test the predictions. ]•To gain experience finding experimental probabilities of unequally likely events •To understand that chance (probability) is an estimate of behavior over the long run •To understand that to make good decisions based on experimental probabilities, the probabilities must be based on a large number of trials •To understand that a game of chance is fair only if each player has the same chance of winning, not just a possible chance of winning ACTIVITIES/ASSESSMENT: Page 14ff 'Tossing Marshmallows' Record on the board/overhead) Follow-Up 1&2 NOTES: Using simulated marshmallows... HOMEWORK: Define INCOMPETENCE, Do Page 19 14-16