Math 2A 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.

OBJECTIVE: Patterns and Rules •To understand the relationship between rate, time, and distance [GLE 1.5.1 Apply understanding of linear relationships to analyze patterns, sequences, and situations.]•To represent information regarding rates in tables and graphs and to use tables and graphs to compare rates {GLE Write an expression or equation with a single variable representing a situation or real-world problem. [CU, MC]] •To search for patterns of predictable change [GLE 1.5.1 Apply understanding of linear relationships to analyze patterns, sequences, and situations.] •To learn to express in words and symbols situations that change in predictable ways [GLE Represent linear relationships through expressions, equations, tables, and graphs of situations involving non-negative rational numbers.][GLE 1.5.4 Create a table or graph given a description of, or an equation for, a situation involving a linear relationship. [CU, MC]] ACTIVITIES/ASSESSMENT: Page 51, problem 4.2 A-F NOTES: HOMEWORK: P55 2-6

OBJECTIVE: See 10-18 above. ACTIVITIES/ASSESSMENT: Working independently, complete page 53 problem 4.3 plus follow-up. NOTES: HOMEWORK: P56 #8 a-h

OBJECTIVE: See 10-18 above. ACTIVITIES/ASSESSMENT: Start on the quiz over chapter 1-4 and finish as a take=home exam. NOTES: HOMEWORK: Page 73-75 Quiz

OBJECTIVE: [GLE 1.1.3 Apply properties of addition and multiplication including inverse properties to the rational number system. ] [GLE 1.1.7 Understand and apply strategies and tools to complete tasks involving addition and subtraction on integers and the four basic operations on non-negative rational numbers.] ACTIVITIES/ASSESSMENT: Warm-Ups and review of mixed number addition and subtraction. Page 61ff, Introduction to graphing programs and creating graphs from filling a table. (functions) [GLE * Identify, extend, or represent patterns and sequences using tables, graphs, or expressions. [RL, MC]] NOTES: HOMEWORK: Page 65 #3

OBJECTIVE: • 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: Start on the graph project based on page 62 problem 5.1. NOTES: HOMEWORK: P66 #6

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