# Q2W12 Algebra Teacher Carol Barnes Algebra 7th/8th Q2W12 Nov 1-5 Unit 4: Linear Equations, Functions, Inequalities and Unit 5: Systems of Equations
Standard(s) Taught

MAFS.912.F-IF.1.3 Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers.

MAFS.912.A-CED.1.2  Create equation in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales

Learning Targets and Learning Criteria
• define an arithmetic sequence as a sequence of numbers that is formed so that the difference between consecutive terms is always the same known as a common difference.

• recognize arithmetic sequences as linear functions.

• explain that a recursive formula tells me how a sequence starts and tells me how to use the previous value(s) to generate the next element of the sequence.

• create a table from a list of numbers (sequence) by making the term number (position) the inputs and the elements the outputs.

• find an explicit or recursive rule for a sequence.

• write specified terms for a sequence, defined explicitly or defined recursively.

• identify the variables and quantities represented in a real-world problem

• graph a system equations or inequalities on the coordinate plane that represent all possible solutions to a real-world problem using appropriate labels and scales

• define system of linear equations and solution of a system

• create a system of equations or inequalities with two variables.

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Classroom Activities

Monday:

Whole Group:  Take notes on changing from Standard Form (ax+by=c) to Slope Intercept Form (y=mx+b)

Small Group:  ATA   HW 2  Slope Intercept Standard Form  1-6

Independent:  Khan Academy – Convert Standard Form to Slope-Intercept Form

Wednesday:

Whole Group:  Slope Formula problem  y2-y1/x2-x1  (-4,2) and (-6,-1)

Small Group:  Test Review HW #5  Slope & Graphing Lines Review  HW 5 Linear Equations

Independent:  Khan Academy – Convert Linear Equations to Standard Form  AND  Graph from Linear Standard Form

Wednesday (Period 1):

Bell Ringer:  Word problem: A hot tub holds 300 gallons of water, and water is being added at a rate of 10 gallons per minute.  What is functions to represent the amount of water in the tab after x minutes   A. f(x) = -10x + 300   B. f(x) = 10x + 300    C. f(x) = 300x + 10    D. f(x) = 300x – 10

Whole Group:  Slope Formula problem  y2-y1/x2-x1  (-4,2) and (-6,-1)

Small Group:ATA Review Packet #2  Linear Equations and Slope, Functions

Independent:  Khan Academy – Convert Linear Equations to Standard Form  AND  Graph from Linear Standard Form

Wednesday (Periods 3,6,7,8):

Whole Group:  Test Review – HW # 5during 3rd period.  Go over Homework #5 worksheet (a review for test tomorrow) in 6th, 7th, and 8th period.   Students may come to board to work problems from study guide.

Thursday/Friday:

TEST on Linear Equations and Functions including Slope Formula, Slope-Intercept Formula (y=mx+b), Standard Form, Point Slope Form, and graphing.  (this is a retest/yellow)

Whole Group:  ATA Notes on Arithmetic Sequences.

Small Group:  Problems #10-17 on examples portion of ATA Arithmetic Sequences page.

Assignments Due

Khan Academy – Extend Arithmetic Sequences, Convert Standard Form to Slope-Intercept Form,  AND  Graph from Linear Standard Form