Geometry Summer Assignment
|
|
- Buddy Small
- 5 years ago
- Views:
Transcription
1 Geometry Summer Assignment You must show all work to earn full credit. This assignment will be due Friday, August 24, It will be worth 50 points. All of these skills are necessary to be successful in Geometry Honors. Geometry is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space. However, in order to solve those questions, algebra will be crucial. There will be a test on these topics at the beginning of the year. Please follow criteria for credit shown below. You may write on the back of your notebook paper. Do NOT write on this worksheet. -Mrs. Fussner
2 Section 1: Expressions & Equations A. Integer Operations - Integers are positive & negative whole numbers. No Calculators Same Signs + and + and Addition Subtraction Multiplication Division Add the numbers Take the sign of both numbers Examples = 14 ( 4) + ( 5) = 9 Different Subtract the numbers signs Take the sign of the + and number with the larger and + absolute value Examples 14 + ( 24) = 10 ( 9) + 10 = 1 Subtract the numbers Take the sign of the number with the larger absolute value = 5 ( 7) ( 15) = ( 7) + 15 = 8 Add the numbers Take the sign of the number with the larger absolute value 10 ( 5) = = 15 ( 8) 7 = 15 Multiply the numbers The product is always positive. (7)(8) = 56 ( 11)( 12) = 132 Multiply the numbers The product is always negative (8)( 12) = 96 ( 12)(10) = 120 Divide the numbers The quotient is always positive. 9/3 = 3 ( 72)/( 8) = 9 Divide the numbers The quotient is always negative. 9/( 3) = 3 ( 72)/( 8) = ( 3) ( 8) ( 7) ( 1) 8. 3( 4) ( 18) ( 4) ( 27) B. Order of Operations No Calculators Example: ( 12 3) (7 + 4) (3 2 6) ( 6 3) (12 15) ( 6) + 8 ( 2) Evaluate each expression if a = 12, b = 9, and c = a + 2b c c3 ab (a b) 2 5c C. Solving Equations - Solve each equation for x. You may use a calculator but MUST show every step = 4x 6x 27. 8x 2 = 9 + 7x 29. 4x + (5x 36) = = 4( 6x 3) 28. 3(4x + 3) + 4(6x + 1) = (3x 5) + (2x 10) = 180
3 D. Solving Equations by Clearing the Fraction You may use a calculator but MUST show every step x x = 3 + x ( 2x + 1) = ( 3x + 1) = E. Solving Systems of Equations Systems may have zero solutions, one solution or infinitely many solutions. Elimination Example: Solve the following systems of equations by substitution. You may use a calculator but MUST show every step. 34. x + 12y = x + 2y = 6 x = 8y 12 x 2y = 10 Solve the following systems of equations by elimination. You may use a calculator but MUST show every step x + 5y = x + 6y = 0 3x y = 11-7x + 2y = 31
4 Section 2: The Coordinate Plane & Linear Functions F. The Coordinate Plane Tell what point is located at each ordered pair. 38. (3, 2) 39. ( 7, 8) 40. (2, 3) 41. ( 4, 4) 42. ( 5, 5) 43. ( 5, 0) Write the ordered pair for each given point & name the quadrant it is in. 44. E 45. M 46. C G. Slope Find the slope in each problem ( 7, 8) 52. (6, 9) (3, 9) 53. 2x + 3y = x = 4
5 H. Graphing & Writing Equations of Lines Slope-intercept form y = mx + b Point-slope form y y 1 = m(x x 1) For each set of ordered pairs, calculate the slope and write the equation of the line passing through each of the points in both slope-intercept & point-slope form. Then graph the equation. 55. (0, 3) and (5, 1) 56. (-1, 3) and (-4, 7) 57. (9, -2) and (9, 4)
6 I. Parallel & Perpendicular Lines Write an equation that is parallel to the given equation. 58. y = 3x x + y = 3 Write an equation that is perpendicular to the given equation y = x y 4x = Choose the two parallel lines 63. Choose the two perpendicular lines y - 6 = 3x y 3x = -4 y + 10 = -4x y = 4x y = -x y + 9 = -3x -4y = x 4y = x Write an equation in slope-intercept form for the line that passes through the point (8, -12) and is parallel to 3 y = x Write an equation in slope-intercept form for the line that passes through the point (4, -3) and is perpendicular to y = 4x +5 J. Midpoint & Distance Formula Use the midpoint and distance formulas to find the midpoint and distance between each pair of points: 66. (7, 11) and (-1, 5) 69. (2, 0) and (8, 6) 67. (-2, -1) and (3, 11) 70. (-2, -6) and (6, 9) 68. (-10, 2) and (-7, 6) 71. (-3, 2) and (6, 5)
7 Section 3: Radicals Radicals or roots are the opposite operation of applying exponents. You will undo exponents by using a radical. Index 3 x 4 Radical Symbol Radicand Read as the cube root of x 4 K. Perfect Squares 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225, 256, 289, 324, 361, 400,. *This means if you see any of these numbers under the radical you can quickly simplify it by finding the number that multiplies by itself to get the number. Simplify: L. Non-Perfect Squares When the number under the radical cannot be equally split in this case we have to reduce it to its lowest terms. Math Look Fors Identify the largest perfect square that divides evenly into the radicand Take the square root of the perfect square radical and leave the non perfect square under its radical Simplify:
8 M. Radicals with Variables Math m 5 m 4 m 1 m 2 m Look Fors Break the variable down into it s perfect square exponent (even exponent) and remaining exponent (remember that multiplying 2 bases that are the same means we add the exponents) Take the square root of the perfect square variable by dividing its exponent by 2 and keep the non perfect square variable under its radical. Simplify: x t p x 6 y 5 z 7 N. Rationalizing the Denominator A radical cannot be in the denominator of a fraction, so in order to fix it we have to multiply both the numerator 2 and denominator by the radical in the denominator (or one that will create a perfect square). Example: 3 Math Look Fors = Multiply both the numerator and denominator by the radical in the denominator Simplify the radicals to solve Simplify: Section 4: Proportions O. Solving Proportions Solve for x: 92. x 7 = x = x 7 = x+1 10 = = x 2 x = 15 x
9 P. Conversions Convert to the given unit: ft. = in m = cm cm = m in = ft ft 2 = in in 2 = ft m 2 = cm cm 2 = m 2 Section 5: Polynomials Q. Multiply Polynomials *Distribute or use FOIL method. Product of First Terms Product of Outer Terms Product of Inner Terms Product of Last Terms Find each product. (x + 5)(x + 7) = (x)(x) + (x)(7) + (5)(x) + (5)(7) = x 2 + 7x + 5x + 35 = x x (r + 1)(r 2) 108. (n 5)(n + 1) 107. (3c + 1)(c 2) 109. (2x 6)(x + 3) R. Factoring Factoring is the process of un-doing a polynomial. Factors are what items multiplied together to get a product. First always check to see if you can factor out a GCF. Math t 2 + 8t + 12 Look Fors t 2 + 8t + 12 Identify the factors of c 1 12, 2 6, 3 4 are factors of c 6 and 2 can be added to get 8 or b Find the factors of c that add or subtract to equal b (t )(t ) Create your factors (t + )(t + ) Identify the signs that fit into factors If + and +, then factors are both + If + and, then larger factor get + and smaller factor gets If and, then larger factor gets and smaller factors get + If and +, then both factors are - (t + 2)(t + 6) Plug in the numbers Factor each polynomial if possible. If the polynomial cannot be factored using integers, write prime p 2 + 9p g 2 7g n 2 + 3n y 2 5y t 2 + 9t r r 48
10 Section 6: Solving Quadratic Equations S. Solving Quadratic Equations by Factoring Example: x 2 6x + 8 = 0 Math x 2 6x + 8 = 0 Look Fors Identify the factors of c 1 8, 2 4 are factors of c 2 and 4 can be added to get 6 or b Find the factors of c that add or subtract to equal b (x )(x ) Create your factors (x )(x ) Identify the signs that fit into factors (x 2)(x 4) = 0 Plug in the numbers x 2 = 0 x 4 = 0 Set each factor equal to zero x 2 = 0 x 4 = 0 Solve for x in each problem using inverse operations x = 2 x = 4 x can either have a value of 2 or 4 Identify the solution Solve each equation by factoring. Check the solutions d 2 + 7d + 10 = y 2 2y 24 = 0 T. Solving Quadratic Equations by Completing the Square Solve by completing the square: 118. x 2 + 4x - 10 = x x - 4 = 0 U. Solving Quadratic Equations by Quadratic Formula 120. x 2 + 6x + 1 = x 2-12x + 30 = 0 Solve using quadratic formula: 122. x 2-11x + 7 = x 2 + 7x - 4 = x 2-12x - 9 = x 2 + 6x + 20 = 0
11 Section 7: Geometry Basics V. Points, Lines & Planes P or point P AB or BA XY or YX PQ Plane EFG or Plane T 126. Name any two line segments Which point is not coplanar (points all on the same plane) with the points U and V? 128. Write a set of points with are collinear (points on the same line) Name a pair of opposite rays (have the same endpoint & extend in opposite directions) Name the plane in two ways. W. Angles Name each angle 4 ways, classify it and give its exact measure using a protractor
12 134. Name two acute vertical angles Name two obtuse vertical angles Name a pair of adjacent angles 137. Name a linear pair Name a pair of complementary angles Name an angle supplementary to FGE
13 X. The Pythagorean Theorem Find the missing side length of the right triangle using The Pythagorean Theorem c 8 x a 26 6 x Y. Transformations Name the type of transformation depicted in the diagram below. If a reflection, state the line of symmetry. Dashed figure (preimage) solid figure (image)
14 Z. Perimeter, Area, Surface Area & Volume Lateral Area (LA) area of the sides Surface Area area of sides & bases Key: Prism Pyramid Cylinder Cone Sphere Ph 1 2 Pl 2πrh πrl LA + 2B LA + B LA + 2B LA + B 4πr 2 Volume Bh 1 3 Bh Bh 1 3 Bh 4 3 πr 3 P = perimeter of the base of the solid h = height of solid (or altitude) l = slant height of pyramid or cone (might have to use pythagorean theorem to find this) r = radius of circle B = area of the base of the solid Determine which choice BEST describes the figure Find the surface area and volume of the figure
Herndon High School Geometry Honors Summer Assignment
Welcome to Geometry! This summer packet is for all students enrolled in Geometry Honors at Herndon High School for Fall 07. The packet contains prerequisite skills that you will need to be successful in
More information2017 SUMMER REVIEW FOR STUDENTS ENTERING GEOMETRY
2017 SUMMER REVIEW FOR STUDENTS ENTERING GEOMETRY The following are topics that you will use in Geometry and should be retained throughout the summer. Please use this practice to review the topics you
More informationMath 75 Mini-Mod Due Dates Spring 2016
Mini-Mod 1 Whole Numbers Due: 4/3 1.1 Whole Numbers 1.2 Rounding 1.3 Adding Whole Numbers; Estimation 1.4 Subtracting Whole Numbers 1.5 Basic Problem Solving 1.6 Multiplying Whole Numbers 1.7 Dividing
More informationA Correlation of. Pearson. Mathematical Ideas. to the. TSI Topics
A Correlation of Pearson 2016 to the A Correlation of 2016 Table of Contents Module M1. Linear Equations, Inequalities, and Systems... 1 Module M2. Algebraic Expressions and Equations (Other Than Linear)...
More informationCourse Readiness and Skills Review Handbook (Topics 1-10, 17) (240 topics, due. on 09/11/2015) Course Readiness (55 topics)
Course Name: Gr. 8 Fall 2015 Course Code: C6HNH-TEK9E ALEKS Course: Middle School Math Course 3 Instructor: Mr. Fernando Course Dates: Begin: 08/31/2015 End: 06/17/2016 Course Content: 642 Topics (637
More informationMath 46 Final Exam Review Packet
Math 46 Final Exam Review Packet Question 1. Perform the indicated operation. Simplify if possible. 7 x x 2 2x + 3 2 x Question 2. The sum of a number and its square is 72. Find the number. Question 3.
More informationSummer Packet Pre-AP Algebra
Name: (5/11/17) Summer Packet Pre-AP Algebra 1-2018-19 To receive credit all work must be shown. There will be a test the first week back from summer on this packet. Any work done on additional paper must
More informationOBJECTIVES UNIT 1. Lesson 1.0
OBJECTIVES UNIT 1 Lesson 1.0 1. Define "set," "element," "finite set," and "infinite set," "empty set," and "null set" and give two examples of each term. 2. Define "subset," "universal set," and "disjoint
More informationMATH Spring 2010 Topics per Section
MATH 101 - Spring 2010 Topics per Section Chapter 1 : These are the topics in ALEKS covered by each Section of the book. Section 1.1 : Section 1.2 : Ordering integers Plotting integers on a number line
More informationLESSON 9.1 ROOTS AND RADICALS
LESSON 9.1 ROOTS AND RADICALS LESSON 9.1 ROOTS AND RADICALS 67 OVERVIEW Here s what you ll learn in this lesson: Square Roots and Cube Roots a. Definition of square root and cube root b. Radicand, radical
More informationMA094 Part 2 - Beginning Algebra Summary
MA094 Part - Beginning Algebra Summary Page of 8/8/0 Big Picture Algebra is Solving Equations with Variables* Variable Variables Linear Equations x 0 MA090 Solution: Point 0 Linear Inequalities x < 0 page
More informationPart 2 - Beginning Algebra Summary
Part - Beginning Algebra Summary Page 1 of 4 1/1/01 1. Numbers... 1.1. Number Lines... 1.. Interval Notation.... Inequalities... 4.1. Linear with 1 Variable... 4. Linear Equations... 5.1. The Cartesian
More informationPre Algebra. Curriculum (634 topics)
Pre Algebra This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence to meet curricular needs.
More information9-12 Mathematics Vertical Alignment ( )
Algebra I Algebra II Geometry Pre- Calculus U1: translate between words and algebra -add and subtract real numbers -multiply and divide real numbers -evaluate containing exponents -evaluate containing
More informationGeometry A & Geometry B & Honors Geometry Summer Packet
Geometry A & Geometry B & Honors Geometry Summer Packet RADICALS Radical expressions contain numbers and/or variables under a radical sign,. A radical sign tells you to take the square root of the value
More informationSummer Packet A Math Refresher For Students Entering IB Mathematics SL
Summer Packet A Math Refresher For Students Entering IB Mathematics SL Name: PRECALCULUS SUMMER PACKET Directions: This packet is required if you are registered for Precalculus for the upcoming school
More informationSolve for the variable by transforming equations:
Cantwell Sacred Heart of Mary High School Math Department Study Guide for the Algebra 1 (or higher) Placement Test Name: Date: School: Solve for the variable by transforming equations: 1. y + 3 = 9. 1
More informationSummer Work for students entering PreCalculus
Summer Work for students entering PreCalculus Name Directions: The following packet represent a review of topics you learned in Algebra 1, Geometry, and Algebra 2. Complete your summer packet on separate
More informationFoundations of High School Math
Foundations of High School Math This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence to
More informationSummer Work for students entering PreCalculus
Summer Work for students entering PreCalculus Name Directions: The following packet represent a review of topics you learned in Algebra 1, Geometry, and Algebra 2. Complete your summer packet on separate
More informationAlgebra I Unit Report Summary
Algebra I Unit Report Summary No. Objective Code NCTM Standards Objective Title Real Numbers and Variables Unit - ( Ascend Default unit) 1. A01_01_01 H-A-B.1 Word Phrases As Algebraic Expressions 2. A01_01_02
More informationStudy Guide for Math 095
Study Guide for Math 095 David G. Radcliffe November 7, 1994 1 The Real Number System Writing a fraction in lowest terms. 1. Find the largest number that will divide into both the numerator and the denominator.
More informationCorrelation of Manitoba Curriculum to Pearson Foundations and Pre-calculus Mathematics 10
Measurement General Outcome: Develop spatial sense and proportional reasoning. 10I.M.1. Solve problems that involve linear measurement, using: SI and imperial units of measure estimation strategies measurement
More informationPre-Algebra (7) B Mathematics
Course Overview Students will develop skills in using variables, evaluating algebraic expressions by the use of the order of operations, solving equations and inequalities, graphing linear equations, functions
More informationACT MATH MUST-KNOWS Pre-Algebra and Elementary Algebra: 24 questions
Pre-Algebra and Elementary Algebra: 24 questions Basic operations using whole numbers, integers, fractions, decimals and percents Natural (Counting) Numbers: 1, 2, 3 Whole Numbers: 0, 1, 2, 3 Integers:
More informationGlossary. Glossary 981. Hawkes Learning Systems. All rights reserved.
A Glossary Absolute value The distance a number is from 0 on a number line Acute angle An angle whose measure is between 0 and 90 Addends The numbers being added in an addition problem Addition principle
More informationAlgebra 1. Math Review Packet. Equations, Inequalities, Linear Functions, Linear Systems, Exponents, Polynomials, Factoring, Quadratics, Radicals
Algebra 1 Math Review Packet Equations, Inequalities, Linear Functions, Linear Systems, Exponents, Polynomials, Factoring, Quadratics, Radicals 2017 Math in the Middle 1. Clear parentheses using the distributive
More informationSolving Multi-Step Equations
1. Clear parentheses using the distributive property. 2. Combine like terms within each side of the equal sign. Solving Multi-Step Equations 3. Add/subtract terms to both sides of the equation to get the
More informationHow do you write and evaluate algebraic expressions? How can algebraic expressions and equations represent actual situations?
Topic: Expressions, Equations and Functions Days: 13 Key Learning: Expressions, equations, tables and graphs are used to model realworld situations. Unit Essential Question(s): How do you write and evaluate
More informationDear Future Pre-Calculus Students,
Dear Future Pre-Calculus Students, Congratulations on your academic achievements thus far. You have proven your academic worth in Algebra II (CC), but the challenges are not over yet! Not to worry; this
More informationGeometry Summer Review Packet Page 1
June 017 Dear Geometry Students and Parents: Welcome to Geometry! For the 017-018 school year, we would like to focus your attention to the fact that many concepts from Algebra I are infused into Geometry.
More informationRadicals: To simplify means that 1) no radicand has a perfect square factor and 2) there is no radical in the denominator (rationalize).
Summer Review Packet for Students Entering Prealculus Radicals: To simplify means that 1) no radicand has a perfect square factor and ) there is no radical in the denominator (rationalize). Recall the
More informationAlgebra II/Geometry Curriculum Guide Dunmore School District Dunmore, PA
Algebra II/Geometry Dunmore School District Dunmore, PA Algebra II/Geometry Prerequisite: Successful completion of Algebra 1 Part 2 K Algebra II/Geometry is intended for students who have successfully
More informationRAVEN S MANITOBA GRADE 10 INTRODUCTION TO APPLIED AND PRE CALCULUS MATHEMATICS (20S)
RAVEN S MANITOBA GRADE 10 INTRODUCTION TO APPLIED AND PRE CALCULUS MATHEMATICS (20S) LINKED DIRECTLY TO NEW CURRICULUM REQUIREMENTS FROM THE WESTERN PROTOCOLS FOR 2008 AND BEYOND STUDENT GUIDE AND RESOURCE
More informationSpring Lake Middle School- Accelerated Math 7 Curriculum Map Updated: January 2018
Domain Standard Learning Targets Resources Ratios and Proportional Relationships 7.RP.1 Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured
More informationSimplify each numerical expression. Show all work! Only use a calculator to check. 1) x ) 25 ( x 2 3) 3) 4)
NAME HONORS ALGEBRA II REVIEW PACKET To maintain a high quality program, students entering Honors Algebra II are expected to remember the basics of the mathematics taught in their Algebra I course. In
More informationCorrelation of WNCP Curriculum to Pearson Foundations and Pre-calculus Mathematics 10
Measurement General Outcome: Develop spatial sense and proportional reasoning. 1. Solve problems that involve linear measurement, using: SI and imperial units of measure estimation strategies measurement
More informationEvaluate algebraic expressions for given values of the variables.
Algebra I Unit Lesson Title Lesson Objectives 1 FOUNDATIONS OF ALGEBRA Variables and Expressions Exponents and Order of Operations Identify a variable expression and its components: variable, coefficient,
More information8th Grade Math Definitions
8th Grade Math Definitions Absolute Value: 1. A number s distance from zero. 2. For any x, is defined as follows: x = x, if x < 0; x, if x 0. Acute Angle: An angle whose measure is greater than 0 and less
More informationMath 005A Prerequisite Material Answer Key
Math 005A Prerequisite Material Answer Key 1. a) P = 4s (definition of perimeter and square) b) P = l + w (definition of perimeter and rectangle) c) P = a + b + c (definition of perimeter and triangle)
More informationNew Rochelle High School Geometry Summer Assignment
NAME - New Rochelle High School Geometry Summer Assignment To all Geometry students, This assignment will help you refresh some of the necessary math skills you will need to be successful in Geometry and
More informationSummer 2017 Math Packet
Summer 017 Math Packet for Rising Geometry Students This packet is designed to help you review your Algebra Skills and help you prepare for your Geometry class. Your Geometry teacher will expect you to
More informationPre-Calculus Summer Packet Instructions
Pre-Calculus Summer Packet Instructions Dear Student, You are receiving this summer packet as a review of previously covered math topics needed to be successful in the upcoming math class you will be taking
More informationMathematics (6-8) Graduation Standards and Essential Outcomes
Mathematics (6-8) Graduation Standards and Essential Outcomes Mathematics Graduation Standard 1 NUMBER AND QUANTITY: Reason and model quantitatively, using units and number systems to solve problems. Common
More informationSUMMER REVIEW PACKET. Name:
Wylie East HIGH SCHOOL SUMMER REVIEW PACKET For students entering Regular PRECALCULUS Name: Welcome to Pre-Calculus. The following packet needs to be finished and ready to be turned the first week of the
More informationPrealgebra and Elementary Algebra
Prealgebra and Elementary Algebra 978-1-63545-035-4 To learn more about all our offerings Visit Knewtonalta.com Source Author(s) (Text or Video) Title(s) Link (where applicable) OpenStax Lynn Marecek,
More informationParenthesis and other grouping symbols. Exponential expressions. Multiplication & Division Addition & Subtraction.
NAME SADDLE BROOK HIGH SCHOOL HONORS ALGEBRA II SUMMER PACKET To maintain a high quality program, students entering Honors Algebra II are expected to remember the basics of the mathematics taught in their
More informationName: Essential Skills Practice for students entering Geometry or Accelerated Geometry
Name: Essential Skills Practice for students entering Geometry or Accelerated Geometry Use this document to review the mathematics that you have learned previously. Completion of the Essential Skills Practice
More informationnonadjacent angles that lie on opposite sides of the transversal and between the other two lines.
WORD: Absolute Value DEFINITION: The distance from zero, distance is always positive. WORD: Absolute Value Function DEFINITION: A function whose rule contains an absolute value expression. EXAMPLE(S) COUNTEREXAMPLE(S):
More informationMATH 7 HONORS. Unit 1: Rational and Irrational Numbers (Term 1) Unit 2: Using Algebraic Properties to Simplify Expressions - Probability
MATH 7 HONORS Unit 1: Rational and Irrational Numbers (Term 1) 1. I CAN write an algebraic expression for a given phrase. 2. I CAN define a variable and write an equation given a relationship. 3. I CAN
More information5.1 Monomials. Algebra 2
. Monomials Algebra Goal : A..: Add, subtract, multiply, and simplify polynomials and rational expressions (e.g., multiply (x ) ( x + ); simplify 9x x. x Goal : Write numbers in scientific notation. Scientific
More informationArea Formulas. Linear
Math Vocabulary and Formulas Approximate Area Arithmetic Sequences Average Rate of Change Axis of Symmetry Base Behavior of the Graph Bell Curve Bi-annually(with Compound Interest) Binomials Boundary Lines
More informationMiddle School Math Course 3
Middle School Math Course 3 This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence to meet
More informationCheck boxes of Edited Copy of Sp Topics (was 261-pilot)
Check boxes of Edited Copy of 10023 Sp 11 253 Topics (was 261-pilot) Intermediate Algebra (2011), 3rd Ed. [open all close all] R-Review of Basic Algebraic Concepts Section R.2 Ordering integers Plotting
More informationAlgebra I. Exponents and Polynomials. Name
Algebra I Exponents and Polynomials Name 1 2 UNIT SELF-TEST QUESTIONS The Unit Organizer #6 2 LAST UNIT /Experience NAME 4 BIGGER PICTURE DATE Operations with Numbers and Variables 1 CURRENT CURRENT UNIT
More informationCURRICULUM CATALOG MATHEMATICS 1 (21032X0) NC
2018-19 CURRICULUM CATALOG MATHEMATICS 1 (21032X0) NC Table of Contents MATHEMATICS 1 (21032X0) NC COURSE OVERVIEW... 1 UNIT 1: FOUNDATIONS OF ALGEBRA... 1 UNIT 2: EQUATIONS AND INEQUALITIES... 1 UNIT
More informationRising 8th Grade Math. Algebra 1 Summer Review Packet
Rising 8th Grade Math Algebra 1 Summer Review Packet 1. Clear parentheses using the distributive property. 2. Combine like terms within each side of the equal sign. Solving Multi-Step Equations 3. Add/subtract
More informationP.1 Prerequisite skills Basic Algebra Skills
P.1 Prerequisite skills Basic Algebra Skills Topics: Evaluate an algebraic expression for given values of variables Combine like terms/simplify algebraic expressions Solve equations for a specified variable
More informationBasic Math. Curriculum (358 topics additional topics)
Basic Math This course covers the topics outlined below and is available for use with integrated, interactive ebooks. You can customize the scope and sequence of this course to meet your curricular needs.
More informationPrealgebra and Elementary Algebra
Prealgebra and Elementary Algebra 978-1-63545-089-7 To learn more about all our offerings Visit Knewton.com Source Author(s) (Text or Video) Title(s) Link (where applicable) OpenStax Lynn Marecek, Santa
More information2014 Summer Review for Students Entering Algebra 2. TI-84 Plus Graphing Calculator is required for this course.
1. Solving Linear Equations 2. Solving Linear Systems of Equations 3. Multiplying Polynomials and Solving Quadratics 4. Writing the Equation of a Line 5. Laws of Exponents and Scientific Notation 6. Solving
More informationEquations and Inequalities. College Algebra
Equations and Inequalities College Algebra Radical Equations Radical Equations: are equations that contain variables in the radicand How to Solve a Radical Equation: 1. Isolate the radical expression on
More informationMATH 8. Unit 1: Rational and Irrational Numbers (Term 1) Unit 2: Using Algebraic Properties to Simplify Expressions - Probability
MATH 8 Unit 1: Rational and Irrational Numbers (Term 1) 1. I CAN write an algebraic expression for a given phrase. 2. I CAN define a variable and write an equation given a relationship. 3. I CAN use order
More informationVariables and Expressions
Variables and Expressions A variable is a letter that represents a value that can change. A constant is a value that does not change. A numerical expression contains only constants and operations. An algebraic
More informationIntermediate Algebra with Applications
Lakeshore Technical College 10-804-118 Intermediate Algebra with Applications Course Outcome Summary Course Information Alternate Title Description Total Credits 4 Total Hours 72 Pre/Corequisites Prerequisite
More informationR1: Sets A set is a collection of objects sets are written using set brackets each object in onset is called an element or member
Chapter R Review of basic concepts * R1: Sets A set is a collection of objects sets are written using set brackets each object in onset is called an element or member Ex: Write the set of counting numbers
More informationMATH98 Intermediate Algebra Practice Test Form A
MATH98 Intermediate Algebra Practice Test Form A MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the equation. 1) (y - 4) - (y + ) = 3y 1) A)
More informationSacred Heart School Course Syllabus
Sacred Heart School Course Syllabus Class Subject: Grade 6 Mathematics (Advanced) Teacher Information: Barbara Hamanaka Sacred Heart School : 860-445-0611 hamanakab@sacredheartgroton.org Course Description:
More informationPrep for College Algebra
Prep for College Algebra This course covers the topics outlined below. You can customize the scope and sequence of this course to meet your curricular needs. Curriculum (219 topics + 85 additional topics)
More informationAlgebra II Summer Packet. Summer Name:
Algebra II Summer Packet Summer 2017 Name: NAME ALGEBRA II & TRIGONOMETRY SUMMER REVIEW PACKET To maintain a high quality program, students entering Algebra II are expected to remember the basics of the
More informationChapter R - Review of Basic Algebraic Concepts (26 topics, no due date)
Course Name: Math 00023 Course Code: N/A ALEKS Course: Intermediate Algebra Instructor: Master Templates Course Dates: Begin: 08/15/2014 End: 08/15/2015 Course Content: 245 topics Textbook: Miller/O'Neill/Hyde:
More informationBasic Fraction and Integer Operations (No calculators please!)
P1 Summer Math Review Packet For Students entering Geometry The problems in this packet are designed to help you review topics from previous mathematics courses that are important to your success in Geometry.
More informationADVANCED/HONORS ALGEBRA 2 - SUMMER PACKET
NAME ADVANCED/HONORS ALGEBRA 2 - SUMMER PACKET Part I. Order of Operations (PEMDAS) Parenthesis and other grouping symbols. Exponential expressions. Multiplication & Division. Addition & Subtraction. Tutorial:
More informationPrep for College Algebra with Trigonometry
Prep for College Algebra with Trigonometry This course covers the topics outlined below. You can customize the scope and sequence of this course to meet your curricular needs. Curriculum (246 topics +
More informationAlgebra Summer Review Packet
Name: Algebra Summer Review Packet About Algebra 1: Algebra 1 teaches students to think, reason, and communicate mathematically. Students use variables to determine solutions to real world problems. Skills
More informationCoach Stones Expanded Standard Pre-Calculus Algorithm Packet Page 1 Section: P.1 Algebraic Expressions, Mathematical Models and Real Numbers
Coach Stones Expanded Standard Pre-Calculus Algorithm Packet Page 1 Section: P.1 Algebraic Expressions, Mathematical Models and Real Numbers CLASSIFICATIONS OF NUMBERS NATURAL NUMBERS = N = {1,2,3,4,...}
More informationMATH 0960 ELEMENTARY ALGEBRA FOR COLLEGE STUDENTS (8 TH EDITION) BY ANGEL & RUNDE Course Outline
MATH 0960 ELEMENTARY ALGEBRA FOR COLLEGE STUDENTS (8 TH EDITION) BY ANGEL & RUNDE Course Outline 1. Real Numbers (33 topics) 1.3 Fractions (pg. 27: 1-75 odd) A. Simplify fractions. B. Change mixed numbers
More informationBeginning Algebra. 1. Review of Pre-Algebra 1.1 Review of Integers 1.2 Review of Fractions
1. Review of Pre-Algebra 1.1 Review of Integers 1.2 Review of Fractions Beginning Algebra 1.3 Review of Decimal Numbers and Square Roots 1.4 Review of Percents 1.5 Real Number System 1.6 Translations:
More informationGeometry Summer Assignment 2018
Geometry Summer Assignment 2018 The following packet contains topics and definitions that you will be required to know in order to succeed in Geometry this year. You are advised to be familiar with each
More information10.1. Square Roots and Square- Root Functions 2/20/2018. Exponents and Radicals. Radical Expressions and Functions
10 Exponents and Radicals 10.1 Radical Expressions and Functions 10.2 Rational Numbers as Exponents 10.3 Multiplying Radical Expressions 10.4 Dividing Radical Expressions 10.5 Expressions Containing Several
More informationCourse Number 420 Title Algebra I Honors Grade 9 # of Days 60
Whitman-Hanson Regional High School provides all students with a high- quality education in order to develop reflective, concerned citizens and contributing members of the global community. Course Number
More informationSUMMER MATH ASSIGNMENTS School Year. General Information for all Math students. Pre -Algebra IXL ASSIGNMENTS:
SUMMER MATH ASSIGNMENTS 2018-2019 School Year General Information for all Math students All assignments are to be completed between May 25, 2018 and September 1, 2018. The assignments are based on the
More information8.NS Number and Number Sense
Skills available for Virginia eighth-grade math standards Standards are in bold, followed by a list of the IXL math skills that are aligned to that standards. Students can practice these skills online
More informationCollege Algebra with Trigonometry
College Algebra with Trigonometry This course covers the topics outlined below. You can customize the scope and sequence of this course to meet your curricular needs. Curriculum (556 topics + 614 additional
More informationNFC ACADEMY COURSE OVERVIEW
NFC ACADEMY COURSE OVERVIEW Algebra I Fundamentals is a full year, high school credit course that is intended for the student who has successfully mastered the core algebraic concepts covered in the prerequisite
More informationHONORS GEOMETRY Summer Skills Set
HONORS GEOMETRY Summer Skills Set Algebra Concepts Adding and Subtracting Rational Numbers To add or subtract fractions with the same denominator, add or subtract the numerators and write the sum or difference
More informationDescriptor Formula Standard
Grade/ Course Descriptor Standard 4 th -D Figures 4.G.A.1 Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two-dimensional
More informationGaithersburg High School Summer 2018 Math Packet For Rising Algebra 2/Honors Algebra 2 Students
Gaithersburg High School Math Packet For Rising Algebra 2/Honors Algebra 2 Students 1 This packet is an optional review of the skills that will help you be successful in Algebra 2 in the fall. By completing
More informationLee County Schools Curriculum Road Map Pre-Algebra
Quarter 1 Rational Numbers, Repeating Decimals, Terminating Decimals 1 Numbers & Operations 2 Radicals & Integer Exponents 1 8.NS.1 8.NS.1 8.NS.2 8.NS.1 8.NS.2 8.EE.1 Know that numbers that are not rational
More informationIntroductory Chapter(s)
Course 1 6 11-12 years 1 Exponents 2 Sequences Number Theory 3 Divisibility 4 Prime Factorization 5 Greatest Common Factor Fractions and Decimals 6 Comparing and Ordering Fractions 7 Comparing and Ordering
More informationFLORIDA STANDARDS TO BOOK CORRELATION FOR GRADE 7 ADVANCED
FLORIDA STANDARDS TO BOOK CORRELATION FOR GRADE 7 ADVANCED After a standard is introduced, it is revisited many times in subsequent activities, lessons, and exercises. Domain: The Number System 8.NS.1.1
More informationALGEBRA 2 Summer Review Assignments Graphing
ALGEBRA 2 Summer Review Assignments Graphing To be prepared for algebra two, and all subsequent math courses, you need to be able to accurately and efficiently find the slope of any line, be able to write
More information7.5 Rationalizing Denominators and Numerators of Radical Expressions
440 CHAPTER Rational Exponents, Radicals, and Complex Numbers 86. Find the area and perimeter of the trapezoid. (Hint: The area of a trapezoid is the product of half the height 6 meters and the sum of
More informationGlossary. Glossary Hawkes Learning Systems. All rights reserved.
A Glossary Absolute value The distance a number is from 0 on a number line Acute angle An angle whose measure is between 0 and 90 Acute triangle A triangle in which all three angles are acute Addends The
More informationCOMMON CORE STATE STANDARDS TO BOOK CORRELATION
COMMON CORE STATE STANDARDS TO BOOK CORRELATION Conceptual Category: Number and Quantity Domain: The Real Number System After a standard is introduced, it is revisited many times in subsequent activities,
More informationPrep for the CSU ELM
Prep for the CSU ELM This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence to meet curricular
More informationCME Project, Geometry 2009 Correlated to: Kentucky Core Content for Mathematics Assessment 4.1 (High School, Grade 11)
Number Properties and Operations High school students should enter high school with a strong background in rational numbers and numerical operations and expand this to real numbers. This becomes the foundation
More informationPre Algebra and Introductory Algebra
Pre Algebra and Introductory Algebra This course covers the topics outlined below and is available for use with integrated, interactive ebooks. You can customize the scope and sequence of this course to
More informationReading Mathematical Expressions & Arithmetic Operations Expression Reads Note
Math 001 - Term 171 Reading Mathematical Expressions & Arithmetic Operations Expression Reads Note x A x belongs to A,x is in A Between an element and a set. A B A is a subset of B Between two sets. φ
More information8 th Grade Math Connects
8 th Grade Math Connects Chapter 1: Rational Numbers and Percent Multi-Part Lesson 1: Rational Numbers A: Rational Numbers B: Add and Subtract Rational Numbers C: Multiply Rational Numbers D: Divide Rational
More information