Summer Math Exercises. For students who are entering. PreCalculus


 Clara Hill
 8 years ago
 Views:
Transcription
1 Summer Math Eercises For students who are entering PreCalculus
2 It has been discovered that idle students lose learning over the summer months. To help you succeed net fall and perhaps to help you learn some lessons that you did not learn the first time through we have prepared the following packet of math eercises to be completed over the summer. It is clear that most students do not want to spend their entire summer doing math work. Based on how fast or slow you work, you may find that you only need to do math a few days a week. Working on this packet will be most effective if you do work throughout the summer so try not to skip weeks. You may use the following chart to get an idea of how often you might need to work problems: For eample, if your student worked on math for 60 minutes per session and took 2 minutes per problem, he or she could complete 30 problems a day. That would equate to only about 7 sessions of working math problems over the summer. At the other end of the spectrum, if a student wanted to work only 30 minutes a time and took on average 5 minutes to complete each problem, he or she would only get 6 problems done during a session and would have to do about 36 sessions to complete the work (i.e., math work about every other day during the summer break). Note that it should not take a student who has previously learned the material more than an average of 5 minutes to work a problem. This work is MANDATORY for CCHS students. Please follow these guidelines: Complete this packet of eercises and bring the completed work to the first day of classes so you will get credit. Use PENCIL and write legibly. Do all your work on separate sheets of paper. Identify each section with a header (e.g, Lesson.) and number each problem. Please circle your answers. Into PreCalc Problems: 26 Min/Day Min/Prob Prob/Day Sessions
3 Assignment for students entering PreCalculus Lessons No of Probs Problems Assigned Date Completed every 3rd every 3rd every 3rd every 3rd every 3rd every 3rd every 3rd every 3rd every 3rd every 3rd every 3rd every 3rd every 3rd every 3rd every 3rd, every 3rd every 3rd every 3rd every 3rd every 3rd Assess every 3rd,29,32,35,38 26
4
5 . For use with Lesson.: Operations with Integers Evaluate the epression Topic Identify the property that is illustrated by the given statement Admission Prices The admission prices to an amusement park are $27 for adults, $6 for children, and $8 for senior citizens. There are 6 adults, 3 children and 2 senior citizens in your group. Write an epression to represent the total admission cost for your group. Find the total cost. 43. Pizza Party You and 3 friends buy a pizza for $0 including ta, plus a delivery fee of $2. Write and solve an epression to find C, the cost per person. Algebra 2 7
6 .2 For use with Lesson.2: Operations with Rational Numbers Add or subtract Find the reciprocal of each number Topic Multiply or divide Evaluate the epression Fishing You went trout fishing. You caught trout with the lengths (in inches) of 82 and 9 5 3, 0 2, 83 4, 95 6, 0 3, 2. Find the average length of the trout you caught. 32. Gasoline Prices Last week the price of gasoline was $.25 per gallon. This week the price of gasoline is $.33 per gallon. What is the change in the price per gallon of gasoline? Algebra 2 3
7 .3 For use with Lesson.3: Square Root Concepts Find all square roots of the number or write no square roots. Check the results by squaring each root Topic Evaluate the epression ± Approimate the square roots ± 225 ± Geometry Use the Pythagorean theorem (a 2 b 2 c 2 ) to find the missing side length of the given right triangle c 3 b c a 24 8 Algebra 2
8 .4 For use with Lesson.4: Simplifying Square Roots Simplify the epression using the product property Simplify the epression using the quotient property. Rationalize the denominator when necessary Topic Simplify the epression Area Your square bedroom has an area of 28 square feet. Find the length of one wall. Geometry Find the radius of the circle with the given area. The area of a circle is A r A 44 in A 208 cm 2 r r Algebra 2 23
9 2. For use before Lesson 2.: Evaluating Epressions Name the operation indicated by the epression s r 30 Write a variable epression for the verbal phrase times 6. m plus divided by n minus t Evaluate the epression for the given value of the variable when 5 0. b 6 when b 24 y. when y m 45 when m 58 Evaluate the epression when a 2, b 6, and c a b b 4. ac 5. 3a 4b 6. 25c 2 b a 7. c ab 8. ab 3 c a a 0.3b 0.05c 2 a 3 b Topic Perimeter The perimeter of a rectangle is equal to 2l 2w, where l is the length and w is the width. Find the perimeter of the rectangle at the right. Dimensions are in inches. = 6.7 w = Area The area of a triangle is equal to 2 bh, where b is the length of the base and h is the height. h = 0.2 Find the area of the triangle at the right. Dimensions are in centimeters. b = Average Speed The average speed (in miles per hour) is given by the formula Average speed Distance d Find the average speed of a car that traveled 80 miles Time t. in 3 hours. Algebra 2 29
10 2.2 For use with Lesson 2.2: Simplifying Epressions Simplify the epression by combining like terms y 9y y p 3.p 9. 3 w 4 w n 6 2n 2. a 3a Find the sum or difference using the vertical or horizontal format. 3. 5y 2 6y 2 4y m 3 7m 5 4m 2 6m n n Topic 2 Simplify the epression by using the distributive property and combining like terms a 4 5a Geometry Write an epression modeling the area of the large rectangle as the product of its length and width. Then write another epression modeling this area as the sum of the areas of the two smaller rectangles. Simplify each epression Algebra 2
11 2.3 For use with Lesson 2.3: Properties of Powers Evaluate the epression Simplify the epression. The simplified epression should have no negative eponents y y a y yz 3 y 2 z y y 2 2y y 2 a 3 a y a y 2 y 2 y 6 2 b 5 b 7 Topic Geometry The volume of a sphere is given by V 4 3 r 3, where r is the radius and is approimately 3.4. What is the volume of the sphere at the right in terms of a? 2a Algebra 2 39
12 2.4 For use with Lesson 2.4: Simplifying Epressions with Powers Multiply using the distributive property y 2y y y 6y 3 2y 8. 0a a 2 3a y 4y 2 2 y 3 y 5b 3 9b 2 8b 2 Simplify the product y y. 4 3 y y 5y2 2y y 4. 2y 5. 4y y 2 y 3 36a 8 b 2 ab 6 2 y 2 y 3 6 ab y y 2 Topic 2 Rewrite in scientific notation , ,452, ,000,000, ,4 Evaluate the epression. Write the result in scientific notation Size of Earth Earth has a radius of about miles. Use the equation V 4 3 r 3 to find Earth s volume. 44 Algebra 2
13 3. For use with Lesson 3.: Solving Equations State the inverse.. Add Subtract Multiply by Divide by Divide by 6. Subtract Add Multiply by Subtract Solve the equation y p b 5 5. a p r 5 6 y 4 4 a b 3 c 7 5 Find the measure of each angle in A (45 ) B (47 23) (2 44) C ABC. C A (50 ) ( 5 9 ) (3) B Topic Find the Numbers The sum of two numbers is 45. The second number is twice the first number. Find the two numbers. Algebra 2 5
14 3.2 For use with Lesson 3.2: Solving Inequalities Solve the inequality.. 8 < < 3 y a b > > 52. 9y < a 4. b 5. 0 > < y < z > a y 2 7 > 20 9 c n 7 0 z 4 2 c < > 0.8 Geometry Write and solve an inequality for the value of. 25. Area > 24 square meters 26. Area < 36 square meters 6 m 9 m 27. Area 42 square feet 28. Area 56 square inches 2 ft 8 in. Topic Bowling Tournament After two games of bowling, Carla has a total score of 475. To win the tournament, she needs a total score of 684 or higher. Let represent the score she needs for her third game to win the tournament. Write and solve an inequality for. What is the lowest score she can get for her third game and win the tournament? Algebra 2 57
15 3.3 For use with Lesson 3.3: Solving MultiStep Equations and Inequalities Solve the equation if possible b 5b c 4 5c 2 2c n 4 4 0n n n a 2 5a 4 Solve the inequality y > < > y > 6 2y m m Solve the equation if possible t n < > y 2 6 2m 2 24 Solve the absolutevalue equation or inequality if possible n 0 m < y t > r.58 Topic 3 Algebra 2 63
16 3.4 For use with Lesson 3.4: Writing and Solving Proportions Tell whether the proportion is True or False Solve the proportion w c 6 r r In Eercises 9 22, pairs of similar triangles are shown. Find the missing lengths of the sides f e = m w 4 2w c = b = 2 a = 3 2 b = 3 2 d a = 2 5 d e c = 2 f = Topic 3 b = 4 c f = 5 c = 2 b = 3 2 c = 4 a = 3 e = 7 f d a d = Bruce traveled 345 miles in his car on 5 gallons of gasoline. How far will he be able to travel with a full tank of 8 gallons? 24. Trisha earned $5.75 in 3 hours at her parttime job. How much would she earn for working 5 hours? Algebra 2 69
17 4. For use with Lesson 4.: Plotting Points Write the ordered pairs that correspond to the points labeled A, B, C, and D in the coordinate plane.. y 2. y 3. A B y C B D C A D A C B D 4. y 5. y 6. y A C B B D A A D B D C C Plot and label the ordered pairs in a coordinate plane. 7. A 0, 2, B, 3, C 4, 0 8. A 6, 3, B 0, 0, C 3, 3 9. A 2, 4, B 0, 5, C 2, 2 0. A 4, 0, B 6, 3, C 5,. A 3, 8, B 0, 7, C 0, 0 2. A 6, 6, B, 3, C 2, 4 3. A 0, 2.5, B.5, 3, C 3, A 2, 0, B 23 4, 2 3, C 3, Plot the triangle with vertices at A 5, 8, B 2, 3, and C 3, 4 in a coordinate plane. 6. Plot the parallelogram with vertices at A 5, 3, B 2, 9, C 5, 9, and D 2, 3 in a coordinate plane. Without plotting the point, tell whether it is in Quadrant, Quadrant 2, Quadrant 3, or Quadrant , , , , , 8 22., 23. 4, , 3 True or False? Determine whether the statement is true or false. 25. In the ordered pair 6, 8, 6 is the coordinate. 26. The point 0, 4 is in Quadrant Each point in a coordinate plane corresponds to an ordered pair of real numbers. Topic 4 Algebra 2 75
18 4.2 For use with Lesson 4.2: SlopeIntercept Form of a Linear Equation Find the slope and yintercept of the graph of the equation.. y 5 2. y y y y 8. y y y Graph the equation. 3. y 2 4. y y 4 7. y y y y y 6 y y 2 0 y 5 y 3 2 y 3 4 Write the equation in slopeintercept form. Then graph the equation. 22. y y y y y 2 4 y 3 0 Match the equation with its graph. A. y B. y C. y y 29. y 30. y 2 Snowstorm In Eercises 3 and 32, snow fell at a rate of inch per 3 hour. Before the snowstorm began, there were already 5 inches of snow on the ground. The equation y 2 models the depth y 3 5 of snow on the ground after hours. Topic 4 3. What is the slope of y 2 What is the yintercept? 3 5? 32. Graph the amount of snow on the ground during the snowstorm. 80 Algebra 2
19 4.3 For use with Lesson 4.3: Quick Graphs Using Intercepts Use the graph to find the intercept and yintercept of the line.. y 2. y 3. y Find the intercept of the graph of the equation. 4. 2y y y y Find the yintercept of the graph of the equation. 0. y 3. y y y y 8 6 5y 30 y y 8 Graph the line with the given intercepts. 6. intercept: intercept: intercept: 7 yintercept: 2 yintercept: 6 yintercept: 3 Find the intercept and the yintercept of the line. Graph the equation. Label the points where the line crosses the aes. 9. y y y y y y y y 2 2 9y 36 Topic 4 Fundraiser In Eercises 28 3, use the following information. The girls softball team is having a spaghetti dinner to raise money for new uniforms. By selling tickets for the dinner, the team hopes to raise $600. Let represent the number of adult tickets they sell at $6 each, and let y represent the number of student tickets they sell at $3 each. 28. Graph the linear function 6 3y What is the intercept? What does it represent in this situation? 30. What is the yintercept? What does it represent in this situation? 3. What are three possible numbers of adult and student tickets to sell that will make the softball team reach its goal? 84 Algebra 2
20 4.4 For use with Lesson 4.4: Nonlinear Equations Find the coordinates of the verte of the graph.. y y y y Sketch the graph of the function. Label the verte. 7. y 2 8. y y y y y y y y 20. y y y y 2 4 y 2 3 y y y 4 2 Sketch the graph of the function. y y y 2 4 y 4 y y y 5 y 6 y Basketball In Eercises 3 and 32, use the following information. You throw a basketball whose path can be modeled by y , where represents time (in seconds) and y represents the height of the basketball (in feet). 3. What is the maimum height that the basketball reaches? 32. In how many seconds will the basketball hit the ground if no one catches it? Topic 4 Algebra 2 89
21 5. For use with Lesson 5.: Common Monomial Factors Find the greatest common factor. Topic 5. 6, , , , , y 4, 56 4 y y 5, 5y y, 8 2 y y 2, 5y 3 Find the greatest common factor and factor it out of the epression Simplify the epression and then factor the greatest common factor out of the epression y 4 6 4y 8 Algebra 2 95
22 Topic 5 LESSON 5.2 For use with Lesson 5.2: Factoring 2 b c Match the trinomial with the correct factorization A B C D. 4 3 Choose the correct factorization. If neither is correct, find the correct factorization A. 6 8 A. 2 5 A. B. 4 2 B. 5 2 B Factor the trinomial Algebra 2
23 5.3 For use with Lesson 5.3: Factoring a 2 b c Match the trinomial with the correct factorization A B C D. 3 8 Choose the correct factorization. If neither is correct, find the correct factorization A. 3 6 A A. 4 5 B B. 6 3 B Factor the trinomial Topic 5 Algebra 2 05
24 Topic 5 LESSON 5.4 Factor the epression. For use with Lesson 5.4: Factoring Special Cases y y y 2 Factor the epression Factor the epression. Tell which special product factoring pattern you used y 2 Factor the epression completely Algebra 2
25 Topic 5 TOPIC 5 Cumulative Assessment For use after Topics 5 Evaluate the epression. Write your answer in simpliest form Simplify the epression Evaluate the epression when 4 and y 3. 2y y Simplify the epression. 5 2 y y y 3 5 y y y 5 Solve the equation or inequality < y 3 6a4 b 2 4a 0 b Solve the proportion Plot the triangle with the given vertices in a coordinate plane. 28. A 2, 4, B 5,, C 4, 29. A 4, 8, B 2, 8, C 2, Find the slope, intercept, and yintercept of the graph of the equation. Then graph the equation. 30. y y y 6 Factor the epression Algebra 2
Review of Intermediate Algebra Content
Review of Intermediate Algebra Content Table of Contents Page Factoring GCF and Trinomials of the Form + b + c... Factoring Trinomials of the Form a + b + c... Factoring Perfect Square Trinomials... 6
More informationMATH 60 NOTEBOOK CERTIFICATIONS
MATH 60 NOTEBOOK CERTIFICATIONS Chapter #1: Integers and Real Numbers 1.1a 1.1b 1.2 1.3 1.4 1.8 Chapter #2: Algebraic Expressions, Linear Equations, and Applications 2.1a 2.1b 2.1c 2.2 2.3a 2.3b 2.4 2.5
More informationMath 0980 Chapter Objectives. Chapter 1: Introduction to Algebra: The Integers.
Math 0980 Chapter Objectives Chapter 1: Introduction to Algebra: The Integers. 1. Identify the place value of a digit. 2. Write a number in words or digits. 3. Write positive and negative numbers used
More informationBig Bend Community College. Beginning Algebra MPC 095. Lab Notebook
Big Bend Community College Beginning Algebra MPC 095 Lab Notebook Beginning Algebra Lab Notebook by Tyler Wallace is licensed under a Creative Commons Attribution 3.0 Unported License. Permissions beyond
More informationPolynomial Degree and Finite Differences
CONDENSED LESSON 7.1 Polynomial Degree and Finite Differences In this lesson you will learn the terminology associated with polynomials use the finite differences method to determine the degree of a polynomial
More informationHow do you compare numbers? On a number line, larger numbers are to the right and smaller numbers are to the left.
The verbal answers to all of the following questions should be memorized before completion of prealgebra. Answers that are not memorized will hinder your ability to succeed in algebra 1. Number Basics
More information1) (3) + (6) = 2) (2) + (5) = 3) (7) + (1) = 4) (3)  (6) = 5) (+2)  (+5) = 6) (7)  (4) = 7) (5)(4) = 8) (3)(6) = 9) (1)(2) =
Extra Practice for Lesson Add or subtract. ) (3) + (6) = 2) (2) + (5) = 3) (7) + () = 4) (3)  (6) = 5) (+2)  (+5) = 6) (7)  (4) = Multiply. 7) (5)(4) = 8) (3)(6) = 9) ()(2) = Division is
More informationMATH 100 PRACTICE FINAL EXAM
MATH 100 PRACTICE FINAL EXAM Lecture Version Name: ID Number: Instructor: Section: Do not open this booklet until told to do so! On the separate answer sheet, fill in your name and identification number
More information1.1 Practice Worksheet
Math 1 MPS Instructor: Cheryl Jaeger Balm 1 1.1 Practice Worksheet 1. Write each English phrase as a mathematical expression. (a) Three less than twice a number (b) Four more than half of a number (c)
More informationPOLYNOMIAL FUNCTIONS
POLYNOMIAL FUNCTIONS Polynomial Division.. 314 The Rational Zero Test.....317 Descarte s Rule of Signs... 319 The Remainder Theorem.....31 Finding all Zeros of a Polynomial Function.......33 Writing a
More informationHigher Education Math Placement
Higher Education Math Placement Placement Assessment Problem Types 1. Whole Numbers, Fractions, and Decimals 1.1 Operations with Whole Numbers Addition with carry Subtraction with borrowing Multiplication
More informationMATH 0110 Developmental Math Skills Review, 1 Credit, 3 hours lab
MATH 0110 Developmental Math Skills Review, 1 Credit, 3 hours lab MATH 0110 is established to accommodate students desiring noncourse based remediation in developmental mathematics. This structure will
More informationMATH 21. College Algebra 1 Lecture Notes
MATH 21 College Algebra 1 Lecture Notes MATH 21 3.6 Factoring Review College Algebra 1 Factoring and Foiling 1. (a + b) 2 = a 2 + 2ab + b 2. 2. (a b) 2 = a 2 2ab + b 2. 3. (a + b)(a b) = a 2 b 2. 4. (a
More informationFSCJ PERT. Florida State College at Jacksonville. assessment. and Certification Centers
FSCJ Florida State College at Jacksonville Assessment and Certification Centers PERT Postsecondary Education Readiness Test Study Guide for Mathematics Note: Pages through are a basic review. Pages forward
More informationMATH REVIEW SHEETS BEGINNING ALGEBRA MATH 60
MATH REVIEW SHEETS BEGINNING ALGEBRA MATH 60 A Summar of Concepts Needed to be Successful in Mathematics The following sheets list the ke concepts which are taught in the specified math course. The sheets
More informationFlorida Math 0028. Correlation of the ALEKS course Florida Math 0028 to the Florida Mathematics Competencies  Upper
Florida Math 0028 Correlation of the ALEKS course Florida Math 0028 to the Florida Mathematics Competencies  Upper Exponents & Polynomials MDECU1: Applies the order of operations to evaluate algebraic
More informationMathematics Placement Examination (MPE)
Practice Problems for Mathematics Placement Eamination (MPE) Revised August, 04 When you come to New Meico State University, you may be asked to take the Mathematics Placement Eamination (MPE) Your inital
More information( ) ( ) Math 0310 Final Exam Review. # Problem Section Answer. 1. Factor completely: 2. 2. Factor completely: 3. Factor completely:
Math 00 Final Eam Review # Problem Section Answer. Factor completely: 6y+. ( y+ ). Factor completely: y+ + y+ ( ) ( ). ( + )( y+ ). Factor completely: a b 6ay + by. ( a b)( y). Factor completely: 6. (
More informationLesson 9.1 Solving Quadratic Equations
Lesson 9.1 Solving Quadratic Equations 1. Sketch the graph of a quadratic equation with a. One intercept and all nonnegative yvalues. b. The verte in the third quadrant and no intercepts. c. The verte
More informationMATH 095, College Prep Mathematics: Unit Coverage Prealgebra topics (arithmetic skills) offered through BSE (Basic Skills Education)
MATH 095, College Prep Mathematics: Unit Coverage Prealgebra topics (arithmetic skills) offered through BSE (Basic Skills Education) Accurately add, subtract, multiply, and divide whole numbers, integers,
More informationA.3. Polynomials and Factoring. Polynomials. What you should learn. Definition of a Polynomial in x. Why you should learn it
Appendi A.3 Polynomials and Factoring A23 A.3 Polynomials and Factoring What you should learn Write polynomials in standard form. Add,subtract,and multiply polynomials. Use special products to multiply
More informationSUNY ECC. ACCUPLACER Preparation Workshop. Algebra Skills
SUNY ECC ACCUPLACER Preparation Workshop Algebra Skills Gail A. Butler Ph.D. Evaluating Algebraic Epressions Substitute the value (#) in place of the letter (variable). Follow order of operations!!! E)
More informationWhat are the place values to the left of the decimal point and their associated powers of ten?
The verbal answers to all of the following questions should be memorized before completion of algebra. Answers that are not memorized will hinder your ability to succeed in geometry and algebra. (Everything
More informationALGEBRA 2: 4.1 Graph Quadratic Functions in Standard Form
ALGEBRA 2: 4.1 Graph Quadratic Functions in Standard Form Goal Graph quadratic functions. VOCABULARY Quadratic function A function that can be written in the standard form y = ax 2 + bx+ c where a 0 Parabola
More informationAnchorage School District/Alaska Sr. High Math Performance Standards Algebra
Anchorage School District/Alaska Sr. High Math Performance Standards Algebra Algebra 1 2008 STANDARDS PERFORMANCE STANDARDS A1:1 Number Sense.1 Classify numbers as Real, Irrational, Rational, Integer,
More informationMATD 0390  Intermediate Algebra Review for Pretest
MATD 090  Intermediate Algebra Review for Pretest. Evaluate: a)  b)  c) () d) 0. Evaluate: [  (  )]. Evaluate:  (7) + (8). Evaluate:   + [6  (  9)]. Simplify: [x  (x  )] 6. Solve: (x +
More information9.3 OPERATIONS WITH RADICALS
9. Operations with Radicals (9 1) 87 9. OPERATIONS WITH RADICALS In this section Adding and Subtracting Radicals Multiplying Radicals Conjugates In this section we will use the ideas of Section 9.1 in
More informationof surface, 569571, 576577, 578581 of triangle, 548 Associative Property of addition, 12, 331 of multiplication, 18, 433
Absolute Value and arithmetic, 730733 defined, 730 Acute angle, 477 Acute triangle, 497 Addend, 12 Addition associative property of, (see Commutative Property) carrying in, 11, 92 commutative property
More informationTSI College Level Math Practice Test
TSI College Level Math Practice Test Tutorial Services Mission del Paso Campus. Factor the Following Polynomials 4 a. 6 8 b. c. 7 d. ab + a + b + 6 e. 9 f. 6 9. Perform the indicated operation a. ( +7y)
More informationAlgebra I Vocabulary Cards
Algebra I Vocabulary Cards Table of Contents Expressions and Operations Natural Numbers Whole Numbers Integers Rational Numbers Irrational Numbers Real Numbers Absolute Value Order of Operations Expression
More informationFactoring Polynomials
UNIT 11 Factoring Polynomials You can use polynomials to describe framing for art. 396 Unit 11 factoring polynomials A polynomial is an expression that has variables that represent numbers. A number can
More informationCOMPETENCY TEST SAMPLE TEST. A scientific, nongraphing calculator is required for this test. C = pd or. A = pr 2. A = 1 2 bh
BASIC MATHEMATICS COMPETENCY TEST SAMPLE TEST 2004 A scientific, nongraphing calculator is required for this test. The following formulas may be used on this test: Circumference of a circle: C = pd or
More informationG r a d e 1 0 I n t r o d u c t i o n t o A p p l i e d a n d P r e  C a l c u l u s M a t h e m a t i c s ( 2 0 S ) Final Practice Exam
G r a d e 1 0 I n t r o d u c t i o n t o A p p l i e d a n d P r e  C a l c u l u s M a t h e m a t i c s ( 2 0 S ) Final Practice Exam G r a d e 1 0 I n t r o d u c t i o n t o A p p l i e d a n d
More informationAnswers to Basic Algebra Review
Answers to Basic Algebra Review 1. 1.1 Follow the sign rules when adding and subtracting: If the numbers have the same sign, add them together and keep the sign. If the numbers have different signs, subtract
More informationBrunswick High School has reinstated a summer math curriculum for students Algebra 1, Geometry, and Algebra 2 for the 20142015 school year.
Brunswick High School has reinstated a summer math curriculum for students Algebra 1, Geometry, and Algebra 2 for the 20142015 school year. Goal The goal of the summer math program is to help students
More informationAlgebra and Geometry Review (61 topics, no due date)
Course Name: Math 112 Credit Exam LA Tech University Course Code: ALEKS Course: Trigonometry Instructor: Course Dates: Course Content: 159 topics Algebra and Geometry Review (61 topics, no due date) Properties
More informationStudents will be able to simplify and evaluate numerical and variable expressions using appropriate properties and order of operations.
Outcome 1: (Introduction to Algebra) Skills/Content 1. Simplify numerical expressions: a). Use order of operations b). Use exponents Students will be able to simplify and evaluate numerical and variable
More informationUnit 1: Integers and Fractions
Unit 1: Integers and Fractions No Calculators!!! Order Pages (All in CC7 Vol. 1) 31 Integers & Absolute Value 191194, 203206, 195198, 207210 32 Add Integers 33 Subtract Integers 215222 34 Multiply
More information10.1. Solving Quadratic Equations. Investigation: Rocket Science CONDENSED
CONDENSED L E S S O N 10.1 Solving Quadratic Equations In this lesson you will look at quadratic functions that model projectile motion use tables and graphs to approimate solutions to quadratic equations
More informationNorth Carolina Community College System Diagnostic and Placement Test Sample Questions
North Carolina Community College System Diagnostic and Placement Test Sample Questions 01 The College Board. College Board, ACCUPLACER, WritePlacer and the acorn logo are registered trademarks of the College
More informationFunctional Math II. Information CourseTitle. Types of Instruction
Functional Math II Course Outcome Summary Riverdale School District Information CourseTitle Functional Math II Credits 0 Contact Hours 135 Instructional Area Middle School Instructional Level 8th Grade
More informationStudents Currently in Algebra 2 Maine East Math Placement Exam Review Problems
Students Currently in Algebra Maine East Math Placement Eam Review Problems The actual placement eam has 100 questions 3 hours. The placement eam is free response students must solve questions and write
More informationGeometry and Measurement
The student will be able to: Geometry and Measurement 1. Demonstrate an understanding of the principles of geometry and measurement and operations using measurements Use the US system of measurement for
More informationAlgebra I. In this technological age, mathematics is more important than ever. When students
In this technological age, mathematics is more important than ever. When students leave school, they are more and more likely to use mathematics in their work and everyday lives operating computer equipment,
More informationMathematics Placement
Mathematics Placement The ACT COMPASS math test is a selfadaptive test, which potentially tests students within four different levels of math including prealgebra, algebra, college algebra, and trigonometry.
More informationVocabulary Words and Definitions for Algebra
Name: Period: Vocabulary Words and s for Algebra Absolute Value Additive Inverse Algebraic Expression Ascending Order Associative Property Axis of Symmetry Base Binomial Coefficient Combine Like Terms
More informationLesson 18 Pythagorean Triples & Special Right Triangles
Student Name: Date: Contact Person Name: Phone Number: Teas Assessment of Knowledge and Skills Eit Level Math Review Lesson 18 Pythagorean Triples & Special Right Triangles TAKS Objective 6 Demonstrate
More informationA Quick Algebra Review
1. Simplifying Epressions. Solving Equations 3. Problem Solving 4. Inequalities 5. Absolute Values 6. Linear Equations 7. Systems of Equations 8. Laws of Eponents 9. Quadratics 10. Rationals 11. Radicals
More information7.2 Quadratic Equations
476 CHAPTER 7 Graphs, Equations, and Inequalities 7. Quadratic Equations Now Work the Are You Prepared? problems on page 48. OBJECTIVES 1 Solve Quadratic Equations by Factoring (p. 476) Solve Quadratic
More informationBlue Pelican Alg II First Semester
Blue Pelican Alg II First Semester Teacher Version 1.01 Copyright 2009 by Charles E. Cook; Refugio, Tx (All rights reserved) Alg II Syllabus (First Semester) Unit 1: Solving linear equations and inequalities
More informationThnkwell s Homeschool Precalculus Course Lesson Plan: 36 weeks
Thnkwell s Homeschool Precalculus Course Lesson Plan: 36 weeks Welcome to Thinkwell s Homeschool Precalculus! We re thrilled that you ve decided to make us part of your homeschool curriculum. This lesson
More informationPrinciples of Mathematics MPM1D
Principles of Mathematics MPM1D Grade 9 Academic Mathematics Version A MPM1D Principles of Mathematics Introduction Grade 9 Mathematics (Academic) Welcome to the Grade 9 Principals of Mathematics, MPM
More informationHIBBING COMMUNITY COLLEGE COURSE OUTLINE
HIBBING COMMUNITY COLLEGE COURSE OUTLINE COURSE NUMBER & TITLE:  Beginning Algebra CREDITS: 4 (Lec 4 / Lab 0) PREREQUISITES: MATH 0920: Fundamental Mathematics with a grade of C or better, Placement Exam,
More informationAlgebra 1 If you are okay with that placement then you have no further action to take Algebra 1 Portion of the Math Placement Test
Dear Parents, Based on the results of the High School Placement Test (HSPT), your child should forecast to take Algebra 1 this fall. If you are okay with that placement then you have no further action
More informationGraphing Trigonometric Skills
Name Period Date Show all work neatly on separate paper. (You may use both sides of your paper.) Problems should be labeled clearly. If I can t find a problem, I ll assume it s not there, so USE THE TEMPLATE
More informationMTH 092 College Algebra Essex County College Division of Mathematics Sample Review Questions 1 Created January 17, 2006
MTH 092 College Algebra Essex County College Division of Mathematics Sample Review Questions Created January 7, 2006 Math 092, Elementary Algebra, covers the mathematical content listed below. In order
More informationThe University of the State of New York REGENTS HIGH SCHOOL EXAMINATION INTEGRATED ALGEBRA. Thursday, August 16, 2012 8:30 to 11:30 a.m.
INTEGRATED ALGEBRA The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION INTEGRATED ALGEBRA Thursday, August 16, 2012 8:30 to 11:30 a.m., only Student Name: School Name: Print your name
More informationIndiana State Core Curriculum Standards updated 2009 Algebra I
Indiana State Core Curriculum Standards updated 2009 Algebra I Strand Description Boardworks High School Algebra presentations Operations With Real Numbers Linear Equations and A1.1 Students simplify and
More informationMEMORANDUM. All students taking the CLC Math Placement Exam PLACEMENT INTO CALCULUS AND ANALYTIC GEOMETRY I, MTH 145:
MEMORANDUM To: All students taking the CLC Math Placement Eam From: CLC Mathematics Department Subject: What to epect on the Placement Eam Date: April 0 Placement into MTH 45 Solutions This memo is an
More informationCommon Core Unit Summary Grades 6 to 8
Common Core Unit Summary Grades 6 to 8 Grade 8: Unit 1: Congruence and Similarity 8G18G5 rotations reflections and translations,( RRT=congruence) understand congruence of 2 d figures after RRT Dilations
More informationcalled and explain why it cannot be factored with algebra tiles? and explain why it cannot be factored with algebra tiles?
Factoring Reporting Category Topic Expressions and Operations Factoring polynomials Primary SOL A.2c The student will perform operations on polynomials, including factoring completely first and seconddegree
More information3 e) x f) 2. Precalculus Worksheet P.1. 1. Complete the following questions from your textbook: p11: #5 10. 2. Why would you never write 5 < x > 7?
Precalculus Worksheet P.1 1. Complete the following questions from your tetbook: p11: #5 10. Why would you never write 5 < > 7? 3. Why would you never write 3 > > 8? 4. Describe the graphs below using
More informationPERT Mathematics Test Review
PERT Mathematics Test Review Prof. Miguel A. Montañez ESL/Math Seminar Math Test? NO!!!!!!! I am not good at Math! I cannot graduate because of Math! I hate Math! Helpful Sites Math Dept Web Site Wolfson
More informationMTH 100 College Algebra Essex County College Division of Mathematics Sample Review Questions 1 Created June 6, 2011
MTH 00 College Algebra Essex County College Division of Mathematics Sample Review Questions Created June 6, 0 Math 00, Introductory College Mathematics, covers the mathematical content listed below. In
More informationQuick Reference ebook
This file is distributed FREE OF CHARGE by the publisher Quick Reference Handbooks and the author. Quick Reference ebook Click on Contents or Index in the left panel to locate a topic. The math facts listed
More informationWelcome to Math 7 Accelerated Courses (Preparation for Algebra in 8 th grade)
Welcome to Math 7 Accelerated Courses (Preparation for Algebra in 8 th grade) Teacher: School Phone: Email: Kim Schnakenberg 402443 3101 kschnakenberg@esu2.org Course Descriptions: Both Concept and Application
More informationSPECIAL PRODUCTS AND FACTORS
CHAPTER 442 11 CHAPTER TABLE OF CONTENTS 111 Factors and Factoring 112 Common Monomial Factors 113 The Square of a Monomial 114 Multiplying the Sum and the Difference of Two Terms 115 Factoring the
More informationAnswer Key for California State Standards: Algebra I
Algebra I: Symbolic reasoning and calculations with symbols are central in algebra. Through the study of algebra, a student develops an understanding of the symbolic language of mathematics and the sciences.
More informationKEANSBURG SCHOOL DISTRICT KEANSBURG HIGH SCHOOL Mathematics Department. HSPA 10 Curriculum. September 2007
KEANSBURG HIGH SCHOOL Mathematics Department HSPA 10 Curriculum September 2007 Written by: Karen Egan Mathematics Supervisor: Ann Gagliardi 7 days Sample and Display Data (Chapter 1 pp. 447) Surveys and
More informationName Summer Assignment for College Credit Math Courses 20152016
Name Summer Assignment for College Credit Math Courses 015016 To: All students enrolled in PreAP PreCalculus and Dual Credit PreCalculus at El Campo High School College math classes utilizes skills and
More informationApplications of the Pythagorean Theorem
9.5 Applications of the Pythagorean Theorem 9.5 OBJECTIVE 1. Apply the Pythagorean theorem in solving problems Perhaps the most famous theorem in all of mathematics is the Pythagorean theorem. The theorem
More informationCommon Core State Standards for Mathematics Accelerated 7th Grade
A Correlation of 2013 To the to the Introduction This document demonstrates how Mathematics Accelerated Grade 7, 2013, meets the. Correlation references are to the pages within the Student Edition. Meeting
More informationALGEBRA I (Common Core) Thursday, January 28, 2016 1:15 to 4:15 p.m., only
ALGEBRA I (COMMON CORE) The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION ALGEBRA I (Common Core) Thursday, January 28, 2016 1:15 to 4:15 p.m., only Student Name: School Name: The
More informationThe program also provides supplemental modules on topics in geometry and probability and statistics.
Algebra 1 Course Overview Students develop algebraic fluency by learning the skills needed to solve equations and perform important manipulations with numbers, variables, equations, and inequalities. Students
More informationMcDougal Littell California:
McDougal Littell California: PreAlgebra Algebra 1 correlated to the California Math Content s Grades 7 8 McDougal Littell California PreAlgebra Components: Pupil Edition (PE), Teacher s Edition (TE),
More informationAlgebra I Credit Recovery
Algebra I Credit Recovery COURSE DESCRIPTION: The purpose of this course is to allow the student to gain mastery in working with and evaluating mathematical expressions, equations, graphs, and other topics,
More informationKeystone National High School Placement Exam Math Level 1. Find the seventh term in the following sequence: 2, 6, 18, 54
1. Find the seventh term in the following sequence: 2, 6, 18, 54 2. Write a numerical expression for the verbal phrase. sixteen minus twelve divided by six Answer: b) 1458 Answer: d) 16 12 6 3. Evaluate
More informationLAKE ELSINORE UNIFIED SCHOOL DISTRICT
LAKE ELSINORE UNIFIED SCHOOL DISTRICT Title: PLATO Algebra 1Semester 2 Grade Level: 1012 Department: Mathematics Credit: 5 Prerequisite: Letter grade of F and/or N/C in Algebra 1, Semester 2 Course Description:
More information12) 13) 14) (5x)2/3. 16) x5/8 x3/8. 19) (r1/7 s1/7) 2
DMA 080 WORKSHEET # (8.8.2) Name Find the square root. Assume that all variables represent positive real numbers. ) 6 2) 8 / 2) 9x8 ) 00 ) 8 27 2/ Use a calculator to approximate the square root to decimal
More informationMath Review. for the Quantitative Reasoning Measure of the GRE revised General Test
Math Review for the Quantitative Reasoning Measure of the GRE revised General Test www.ets.org Overview This Math Review will familiarize you with the mathematical skills and concepts that are important
More informationAlgebra 1 Course Title
Algebra 1 Course Title Course wide 1. What patterns and methods are being used? Course wide 1. Students will be adept at solving and graphing linear and quadratic equations 2. Students will be adept
More informationAlgebra Cheat Sheets
Sheets Algebra Cheat Sheets provide you with a tool for teaching your students notetaking, problemsolving, and organizational skills in the context of algebra lessons. These sheets teach the concepts
More informationScope and Sequence KA KB 1A 1B 2A 2B 3A 3B 4A 4B 5A 5B 6A 6B
Scope and Sequence Earlybird Kindergarten, Standards Edition Primary Mathematics, Standards Edition Copyright 2008 [SingaporeMath.com Inc.] The check mark indicates where the topic is first introduced
More informationCRLS Mathematics Department Algebra I Curriculum Map/Pacing Guide
Curriculum Map/Pacing Guide page 1 of 14 Quarter I start (CP & HN) 170 96 Unit 1: Number Sense and Operations 24 11 Totals Always Include 2 blocks for Review & Test Operating with Real Numbers: How are
More informationSection 5.0A Factoring Part 1
Section 5.0A Factoring Part 1 I. Work Together A. Multiply the following binomials into trinomials. (Write the final result in descending order, i.e., a + b + c ). ( 7)( + 5) ( + 7)( + ) ( + 7)( + 5) (
More informationIV. ALGEBRAIC CONCEPTS
IV. ALGEBRAIC CONCEPTS Algebra is the language of mathematics. Much of the observable world can be characterized as having patterned regularity where a change in one quantity results in changes in other
More informationFACTORING QUADRATICS 8.1.1 through 8.1.4
Chapter 8 FACTORING QUADRATICS 8.. through 8..4 Chapter 8 introduces students to rewriting quadratic epressions and solving quadratic equations. Quadratic functions are any function which can be rewritten
More informationMath 1. Month Essential Questions Concepts/Skills/Standards Content Assessment Areas of Interaction
Binghamton High School Rev.9/21/05 Math 1 September What is the unknown? Model relationships by using Fundamental skills of 2005 variables as a shorthand way Algebra Why do we use variables? What is a
More informationAlgebra 1: Basic Skills Packet Page 1 Name: Integers 1. 54 + 35 2. 18 ( 30) 3. 15 ( 4) 4. 623 432 5. 8 23 6. 882 14
Algebra 1: Basic Skills Packet Page 1 Name: Number Sense: Add, Subtract, Multiply or Divide without a Calculator Integers 1. 54 + 35 2. 18 ( 30) 3. 15 ( 4) 4. 623 432 5. 8 23 6. 882 14 Decimals 7. 43.21
More informationINVESTIGATIONS AND FUNCTIONS 1.1.1 1.1.4. Example 1
Chapter 1 INVESTIGATIONS AND FUNCTIONS 1.1.1 1.1.4 This opening section introduces the students to man of the big ideas of Algebra 2, as well as different was of thinking and various problem solving strategies.
More informationAlgebra 1 Course Information
Course Information Course Description: Students will study patterns, relations, and functions, and focus on the use of mathematical models to understand and analyze quantitative relationships. Through
More informationSuccessful completion of Math 7 or Algebra Readiness along with teacher recommendation.
MODESTO CITY SCHOOLS COURSE OUTLINE COURSE TITLE:... Basic Algebra COURSE NUMBER:... RECOMMENDED GRADE LEVEL:... 811 ABILITY LEVEL:... Basic DURATION:... 1 year CREDIT:... 5.0 per semester MEETS GRADUATION
More informationNorth Carolina Community College System Diagnostic and Placement Test Sample Questions
North Carolina Communit College Sstem Diagnostic and Placement Test Sample Questions 0 The College Board. College Board, ACCUPLACER, WritePlacer and the acorn logo are registered trademarks of the College
More informationFACTORING OUT COMMON FACTORS
278 (6 2) Chapter 6 Factoring 6.1 FACTORING OUT COMMON FACTORS In this section Prime Factorization of Integers Greatest Common Factor Finding the Greatest Common Factor for Monomials Factoring Out the
More informationAlgebra 1. Curriculum Map
Algebra 1 Curriculum Map Table of Contents Unit 1: Expressions and Unit 2: Linear Unit 3: Representing Linear Unit 4: Linear Inequalities Unit 5: Systems of Linear Unit 6: Polynomials Unit 7: Factoring
More informationAmerican Diploma Project
Student Name: American Diploma Project ALGEBRA l EndofCourse Eam PRACTICE TEST General Directions Today you will be taking an ADP Algebra I EndofCourse Practice Test. To complete this test, you will
More informationFlorida Algebra 1 EndofCourse Assessment Item Bank, Polk County School District
Benchmark: MA.912.A.2.3; Describe the concept of a function, use function notation, determine whether a given relation is a function, and link equations to functions. Also assesses MA.912.A.2.13; Solve
More informationVeterans Upward Bound Algebra I Concepts  Honors
Veterans Upward Bound Algebra I Concepts  Honors Brenda Meery Kaitlyn Spong Say Thanks to the Authors Click http://www.ck12.org/saythanks (No sign in required) www.ck12.org Chapter 6. Factoring CHAPTER
More informationExercise Worksheets. Copyright. 2002 Susan D. Phillips
Exercise Worksheets Copyright 00 Susan D. Phillips Contents WHOLE NUMBERS. Adding. Subtracting. Multiplying. Dividing. Order of Operations FRACTIONS. Mixed Numbers. Prime Factorization. Least Common Multiple.
More information