Section Required Assignments Additional Resources 1-1 Variables and Expressions (Formative)

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1 Algebra 1 ~ Chapter 1 Capacity Matrix Learning Targets 1. Evaluating Expressions and Solving Open Sentences (Sec 1-1 to 1-3) 2. Using Algebraic Properties (Sec 1-4 to 1-6) 3. Interpreting and Analyzing Graphs of Functions (Sec 1-8) Section Required Assignments Additional Resources 1-1 Variables and Expressions (Formative) 1-2 Orders of Operations (Formative) 1-3 Open Sentences (Formative) Must score above a 70% 1-4 Identity and Equality Properties (Formative) 1-5 Distributive Property (Formative) Chapter 1 Triple Entry Journal # s 11, 13, 15, 17, 19, 21, 23, 25, 31, 33, 35, 37 (12 Questions) # s 15, 17, 19, 21, 23, 25, 27, 33, 35, 37, 41, 42, 43 (13 Questions) B.2 Order of operations with integers (ixl) # s 15, 17, 21, 26, 27, 28, 29, 31, 33, 35, 37, 39 (12 Questions) Quiz 1-1 to 1-3 (Summative) YOU must know: How to write an algebraic expression (sum, product, quotient, difference, etc ) How to write a verbal expression (words ONLY..no math symbols) PE(MD)(AS) Solutions with replacement sets # s 13, 15, 17, 19, 21, 25, 27, 29, 30, 31 (10 Questions) # s 15, 17, 19, 21, 23, 25, 27, 39, 40, 41, 43, 45, 47, 49, 51 (15 Questions) H. 2 Distributive Property (ixl) Combining Like Terms with Distribution (KHAN) # s 2, 4, 6, 8, 10 pg 8 # s 1-23 pg 820 G.1 Write variable expressions (ixl) # s 2-14 even pg 13 # s 1-21 pg 820 Order of operations (KHAN) Order of operations with negative numbers (KHAN) # s 2-10 even pg 18 # s 1-18 pg 820 # s 2-10 even pg 23 # s 1-13 pg 821 # s 4, 6, 8, 10, pg # s 1-24 pg 821

2 1-6 Commutative and Associative Properties (Formative) Must score above a 70% 1-8 Graphs and Functions (Formative) REVIEW (Formative) (Practice for your learning targets.) Must score above a 70% Must score above a 70% # s 17, 19, 23, 25, 28, 29, 33, 35, 37, 39, 45, 47 (12 Questions) Quiz 1-4 to 1-6 (Summative) YOU must know: Properties (additive identity, multiplicative identity, multiplicative property of zero, multiplicative inverses, reflexive, symmetric, transitive, substitution, distributive, commutative and associative properties) # s 2-14 even pg 34 # s 1-27 pg 821 H.1 Properties of addition and multiplication (ixl) # s 10-13, (7 Questions) # s 2, 4, 6, 7, 8 pg 46 Study Guide and Review pg # s 1-10 properties # s writing algebraic expressions # s PE(MD)(AS) # s PE(MD)(AS) & using replacement sets # s properties # s distributive prop. & implifying like terms # s properties # s graph and functions Chapter 1 Project (Summative) Chapter 1 TEST (Summative) # s 1-4 pg 822 Chapter 1 Practice Test pg 63 # s 1-25 (skip # s 19, 20, 25)

3 Algebra 1 ~ Chapter 1 Learning Targets 1. Evaluating Expressions and Solving Open Sentences (Sec 1-1 to 1-3) 2. Using Algebraic Properties (Sec 1-4 to 1-6) 3. Interpreting and Analyzing Graphs of Functions (Sec 1-8) Chapter 1 Triple Entry Journal Word Definition Picture or Example algebraic expression base coefficient dependent variable domain element equation exponent factors

4 function independent variable inequality like terms order of operations ordered pair origin product range reciprocal

5 Properties Word additive identity Example associative property Addition Multiplication commutative property Addition Multiplication distributive property multiplicative identity multiplicative inverses multiplicative property of zero reflexive symmetric transitive substitution

6 Section 1-1 Variables and Expressions Vocabulary Variables, algebraic expressions, factors, product, power, base, exponent, evaluate What operations is PRODUCT? (pg 6) Show 3-4 ways of writing the product and 5 and x. (pg 6) Write an algebraic expression for each. a) eight more than a number b) the product of 7 and a to the seventh power Evaluate a) 4 3 Write Verbal Expressions for each. a) c d b) 8x 2 5

7 Section 1-2 Orders of Operations Vocabulary Orders of operations What are the Orders of Operations? (pg 11) Evaluate each expression without a calculator = a) b) [ ] 2 2 5! (6! 2) c) d) 3 3! 5 3! 2 Evaluate each algebraic expression. If x = 4, y = 3, and z = 2 2( x 2! y) + z 2 a)

8 Section 1-3 Open Sentences Vocabulary Open sentence, solving an open sentence, solution, equation, replacement set, set, element, solution set, inequality What is an open sentence? (pg 16) Give an example of an open sentence. What is an equation? (pg 16) Give an example of an equation. Finding the solution set for an EQUATION. Find the solution set for the equation 3(8 b) = 6 if the replacement set is {2, 3, 4, 5, 6}. x 3(8 b) = 6 True or False? The solution set of 3(8 b) = 6 is.

9 Section 1-3 Open Sentences (continued ) Finding the solution set for an INEQUALITY. Find the solution set for the inequality x + 11 > 32 if the replacement set is {20, 21, 22, 23, 24}. x x + 11 > 32 True or False? The solution set of x + 11 > 32 is.

10 Section 1-4 Identity and Equality Properties Vocabulary Additive identity, multiplicative identity, multiplicative inverses, reciprocal What is the Additive Identity? (Give an example too.) (pg 21) What is the Multiplicative Identity? (Give an example too.) (pg 21) What is the Multiplicative Property of Zero? (Give an example too.) (21) What are multiplicative inverses? (Give an example too.) (pg 21) What are reciprocals? (Give an example too.) (pg 21)

11 Section 1-4 Identity and Equality Properties (continued ) What is the Reflexive Property? (Give an example too.) (pg 22) What is the Symmetric Property? (Give an example too.) (pg 22) What is the Transitive Property? (Give an example too.) (pg 22) What is the Substitution Property? (Give an example too.) (pg 22) Name the property used in each equation. a) b) n 12 = 0 n 1 5 = 1 c) 0 + n = 8

12 Section 1-5 The Distributive Property Vocabulary Term, like terms, equivalent expressions, simplest form, coefficient Like Terms Are the following like terms? a) 7x and 4x b) 3y and 5xy 6x 2 c) and 6x What is the Distributive Property? (pg 26) Simplify each expression. a) 12(y + 3) b) 4(y 2 + 8y + 2) c) 17a + 21a d) 12b 2! 8b 2 + 6b

13 Section 1-6 Commutative and Associative Properties Vocabulary none What is the Commutative Property? (Give an example too.) (pg 32) What is the Associative Property? (Give an example too.) (pg 32) Simplify expressions and list property with each step. a) 8(2b + 4) + 7b

14 Section 1-8 Graphs and Functions Vocabulary Function, coordinate system, x- axis, y- axis, origin, ordered pair, x- coordinate, y- coordinate, independent variable, dependent variable, relation, domain, range Coordinate Graphs This is a coordinate grid with an x- axis (horizontal line)+ y- axis (vertical line). The I, II, III, IV are the QUADRANT # s. An ordered pair looks like (3, 4). The 1 st # is the x- coordinate and it tells you how to move LEFT (negative #) and RIGHT (positive #). The 2 nd # is the y- coordinate and it tells you how to move UP (positive #) and DOWN (negative #). I = (+, +) II = (-, +) III = (-, - ) IV = (+, - ) Plot the following: A(- 2, 4) B(0, - 3) C(1, 5) D(- 3, - 6) E(5, - 1) F(6, 0)

15 Section 1-8 Graphs and Functions (continued..) Analyzing Graphs Describe what is happening in each graph.

16 Section 1-8 Graphs and Functions (continued..) Drawing Graphs There are three lunch periods at a school cafeteria. During the first period, 352 students each lunch. During the second period, 304 students each lunch. During the third period, 391 students eat lunch. a) Make a table showing the number of students for each of the 3 lunch periods. b) Write the data as a set of ordered pairs. c) Draw a graph that shows the relationship between the lunch period and the number of students.

17 Algebra 1 Chapter 1 Study Guide Learning Targets 1. Evaluating Expressions and Solving Open Sentences (Sec 1-1 to 1-3) 2. Using Algebraic Properties (Sec 1-4 to 1-6) 3. Interpreting and Analyzing Graphs of Functions (Sec 1-8) Section 1-1 Variables and Expressions Need to know: Variables? Algebraic expressions? Factors? Product? Evaluating? Writing verbal expressions? (words only) Writing algebraic expressions? (numbers and symbols only) Section 1-2 Orders of Operations Orders of Operations o PE(MD)(AS) Parentheses Exponents Multiply or Divide in the ORDER they come from left to right Add or Subtract in the ORDER they come from left to right Section 1-3 Open Sentences Open sentence? Solve using a replacement set? Inequalities? Difference between equations and inequalities? Section 1-4 Identity and Equality Properties Additive identity property? Multiplicative identity property? Multiplicative property of zero? Multiplicative inverses? Reciprocals? Reflexive property? Symmetric property?

18 Transitive property? Substitution property? Section 1-5 The Distributive Property Distributive property? Term? Like terms? Coefficient? Section 1-6 Commutative and Associative Properties Commutative property? Associative property? Section 1-8 Graphs and Functions Function? Coordinate plane? x- axis? y- axis? origin? Ordered pair? Independent variable? Dependent variable? Relation? Domain? Range?

19 Name (1 st and last): Date: Year of Graduation: The Grass is Greener Imagine you are a baseball coach at a large high school. You are about to write a memo to the athletic director (AD) requesting funding to re- sod the baseball field. Because the Athletic Department s budget is always very tight, you know that the AD will ask you to carefully document the costs that you submit. Devise and carry out a plan to calculate how much sod you will need for the baseball field. Use the baseball field at your school as a model for making the plan. Sod Information One roll of sod covers 40 square yards. The price per roll is $98. Make a Plan 1. Devise a strategy to determine the amount of sod you will need for the baseball field. The formulas below may prove useful (b = base; h = height; s = side; r = radius; N = a central angle measuring N ). a. Area of a triangle: ½ bh b. Area of a trapezoid: ½ h(b1 + b2) c. Area of a rectangle: bh d. Area of a circle: π 2 e. Area of a square: s 2 f. Area of a sector: (N/360 ) πr 2 2. On a separate sheet of paper, describe your plan for breaking up the baseball field into shapes that will help you calculate how much sod you will need to cover the provided field. Then have your teacher approve the plan. 3. Carry out your plan and break up the provided baseball field into shapes with dimensions and find the total area of your baseball field. Because the school is on a budget, it s important to be as accurate as possible with as little waste as possible. (Use the provided baseball field.) 4. Review the plan you gave your teacher. Describe any modifications you had to make to your original plan after you started measuring. 5. What are the dimensions of the baseball field? 6. How many square feet of sod will you need? 7. How many rolls of sod will you request? 8. What is the total cost of the sod? 9. On a separate sheet of paper, draft a memo to the athletic director stating your request. Include an enclosure showing how you arrived at your cost.

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21 The Grass is Greener Scoring Rubric Covers Learning Target 1. Evaluating Expressions and Solving Open Sentences (Sec 1-1 to 1-3) Number Points earned Points possible Description of task 1 5 pts Devise a strategy to determine the amount of sod you will need for the baseball field. Be sure to clearly explain what you plan to do with complete sentences. 2 5 pts On a separate sheet of paper, describe your plan for breaking up the baseball field into shapes that will help you calculate how much sod you will need to cover the provided field. Done? 5 pts 3 10 pts (dimensions) 10 pts (small areas) 10 pts (total area) 5 pts (accurate work) Then have your teacher approve the plan. Carry out your plan and break up the provided baseball field into shapes with dimensions and find the total area of your baseball field. Because the school is on a budget, it s important to be as accurate as possible with as little waste as possible. (Use the provided baseball field.) 4 10 pts Review the plan you gave your teacher. Describe any modifications you had to make to your original plan after you started measuring. 5 5 pts What are the dimensions of the baseball field? 6 5 pts How many square feet of sod will you need? 7 5 pts How many rolls of sod will you request? 8 5 pts What is the total cost of the sod? 9 10 pts On a separate sheet of paper, draft a memo to the athletic director stating your request. 10 pts Include an enclosure showing how you arrived at your cost. Total Points (Grade?)