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ALGEBRA 1A TASKS

	UNIT 3: RAINING CATS AND DOGS
Action Item 3.1: Exploring Functions and Equations		TEKS	TAKS
Activity 1: Exploring Functions and Equations	In this activity, you will be creating function rules to investigate problems. From these functions you will write equations that can be used to solve problems. You will learn how to solve for the independent variable in an equation.	111.32(c)(1)(B) 111.32(c)(3)(A) 111.32(c)(3)(B)	A(c)(1)(B) A(c)(3)(A) A(c)(3)(B)
Activity 2: Looking Closer at Equations	There are many ways to solve equations. Use this activity to learn the Guess and Check method, which will help you solve problems related to your animal shelter investigation.	111.32(c)(3)(B)	A(c)(3)(B)
Activity 3: First Look at Inequalities	In this activity, you will see that in some situations you are not looking for a single answer to a problem, but rather many values that will answer the question. When you see phrases like “at least” or “at most”, you know that there is more than one possible answer to the problem. You will write functions from which you can write inequalities. Tables, graphs, and guess and check are still appropriate methods to answer the question.	111.32(c)(3)(A) 111.32(c)(3)(B) 111.32(c)(3)(C)	A(c)(3)(A) A(c)(3)(B) A(c)(3)(C)
Activity 4: Solving Equations and Inequalities Using Tables and Graphs	You have been solving equations and inequalities using tables, graphs, and Guess and Check. In this activity you will have a chance to practice solving various problems using these methods. You will also be introduced to a second way that a graph may be used to solve a problem.	111.32(c)(3)(A) 111.32(c)(3)(B) 111.32(c)(3)(C)	A(c)(3)(A) A(c)(3)(B) A(c)(3)(C)
Action Item 3.2: Using Commutative, Associative, and Distributive Properties to Simplify Expressions		TEKS	TAKS
Activity 5: The Distributive Property	The distributive property helps simplify algebraic expressions. In this section you will learn why this property works by looking at a problem involving area. You can also follow the links to use algebra tiles to explore this property. You can choose to manipulate the online tiles or create your own paper tiles.	111.32(b)(1)(D) 111.32(b)(4)(B)	A(b)(1)(D) A(b)(4)(B)
Activity 6: Combining Like Terms	Sometimes algebraic expressions can be simplified in order to make a problem easier to solve. You will be able to link to an algebra tile demonstration for practice simplifying expressions and understanding algebraic terms like coefficient and variable. You will also have a chance to practice combining like terms in algebraic expressions.	111.32(b)(4)(A)	A(b)(4)(A
Activity 7: Adding and Subtracting Expressions	In this activity you will have a chance to link to an algebra tile demonstration that shows you how to add or subtract algebraic expressions. You will have a chance to practice problems such as (4x² – 6x + 5) – (5x² – 3x + 10).	111.32(b)(1)(D) 111.32(b)(4)(A)	A(b)(1)(D) A(b)(4)(A)
Action Item 3.3: Solving Simple Equations With Manipulatives and Symbols		TEKS	TAKS
Activity 8: Equations of the form x + c = k	In this activity, you will begin to look at problems that require the use of equations. You have learned how to solve equations and inequalities using tables, graphs, and guess and check. You will continue to practice using these methods. There are some problems that may be easier to solve using the algebraic rule and operations on the equation. Also in this activity, you will solve equations that look like x + c = k.	111.32(c)(3)(A) 111.32(c)(3)(B)	A(c)(3)(A) A(c)(3)(B)
Activity 9: Equations of the form kx = w	In some of the situations you have investigated, there were equations involving a number multiplied by a variable. For example, in the last investigation you had the equation 50,000 + 1500x = 92,000. You learned what to do symbolically when something is added to or subtracted from a variable. In this set of problems you will learn what to do when a number is multiplied by a variable. You will be able to link to a demonstration and practice using cups and counters to solve this type of equation.	111.32(c)(3)(A) 111.32(c)(3)(B) 111.32(c)(3)(C)	A(c)(3)(A) A(c)(3)(B) A(c)(3)(C)
Action Item 3.4: Solving Equations of the Form kx + c = b and kx + c = mx + b		TEKS	TAKS
Activity 10: Equations of the form kx + c = b	In most of the situations that you have investigated in this unit, the equations have combined two operations, multiplication and either addition or subtraction. For example in a previous investigation you had the equation 50,000 + 1500x = 92,000. In this activity you will learn how to solve equations like this symbolically.	111.32(c)(3)(A) 111.32(c)(3)(B) 111.32(c)(3)(C)	A(c)(3)(A) A(c)(3)(B) A(c)(3)(C)
Activity 11: Equations of the form kx + c = mx + b	Use this activity to learn how to write an equation that has variables on both sides. You can solve this equation using tables, graphs, or guess and check. You will learn to solve this type of equation using the symbolic method. You will also have a chance to practice using what you have learned about combining like terms, simplifying expressions, and solving equations symbolically.	111.32(c)(3)(A) 111.32(c)(3)(B)	A(c)(3)(A) A(c)(3)(B)
Action Item 3.5: Introduction to Inequalities		TEKS	TAKS
Activity 12: Inequality Properties and Notation	You’ve learned how to solve equations using symbolic methods. Use this activity to learn how to solve inequalities using symbolic methods.	111.32(c)(3)(A) 111.32(c)(3)(B) 111.32(c)(3)(C)	A(c)(3)(A) A(c)(3)(B) A(c)(3)(C)
Activity 13: Solving Inequalities	In this activity you will have an opportunity to use what you have learned about inequalities. You will set up a function, create an inequality related to the function, use the properties of inequalities to solve symbolically and use your graphing calculator to check your solutions.	111.32(c)(3)(A) 111.32(c)(3)(B) 111.32(c)(3)(C)	A(c)(3)(A) A(c)(3)(B) A(c)(3)(C)
Action Item 3.6: Comparing Notations and Methods		TEKS	TAKS
Activity 14: Difference Among Functions, Equations, and Inequalities	In this activity, you will be able to practice what you have learned about functions, equations and inequalities. You will be asked questions about the differences among these three mathematical ideas.	111.32(a)(4) 111.32(c)(3)(A) 111.32(c)(3)(C)	A(c)(3)(A) A(c)(3)(C)
Activity 15: Which Method Should I Choose?	In the last activity of unit 3 you will use all the methods you have learned so far. It is your chance to review all of the ideas in this unit before completing your graded assignment and your project report. We have studied four different ways to solve equations and inequalities. Symbolically Graphs Tables Guess and Check. The method of solution that is used to solve an equation or an inequality may depend on the problem.	111.32(a)(6) 111.32(c)(3)(A) 111.32(c)(3)(B) 111.32(c)(3)(C)	A(c)(3)(A) A(c)(3)(B) A(c)(3)(C)