Mathematics Review Notes for Parents and Students

Size: px
Start display at page:

Download "Mathematics Review Notes for Parents and Students"

Transcription

1 Mathematics Review Notes for Parents and Students Grade 7 Mathematics 3 rd Nine Weeks,

2 2

3 Content Review: Standards of Learning in Detail Grade 7 Mathematics: Third Nine Weeks June 26, 2013 This resource is intended to be a guide for parents and students to improve content knowledge and understanding. The information below is detailed information about the Standards of Learning taught during the 3 rd grading period and comes from the Mathematics Standards of Learning Curriculum Framework, Grade 7 issued by the Virginia Department of Education. The Curriculum Framework in its entirety can be found at the following website: mewk_math7.pdf SOL 7.11 The student, given data in a practical situation, will a) construct and analyze histograms; and b) compare and contrast histograms with other types of graphs presenting information from the same data set. All graphs tell a story and include a title and labels that describe the data. A histogram is a form of bar graph in which the categories are consecutive and equal intervals. The length or height of each bar is determined by the number of data elements falling into a particular interval. A frequency distribution shows how often an item, a number, or range of numbers occurs. It can be used to construct a histogram. Comparisons, predictions and inferences are made by examining characteristics of a data set displayed in a variety of graphical representations to draw conclusions. 3

4 The information displayed in different graphs may be examined to determine how data are or are not related, ascertaining differences between characteristics (comparisons), trends that suggest what new data might be like (predictions), and/or what could happen if (inference). SOL Practice Items provided by the VDOE, Answers are located on the last page of the booklet. SOL 7.11 (Histograms) 1 4

5 2 3 5

6 SOL 7.2 The student will describe and represent arithmetic and geometric sequences using variable expressions. In the numeric pattern of an arithmetic sequence, students must determine the difference, called the common difference, between each succeeding number in order to determine what is added to each previous number to obtain the next number. Example 1: 3, 7, 11, 15, 19, The common difference is 4 (add 4 to the previous number). Example 2: 30, 25, 20, 15, 10, The common difference is -5 (add -5 to the previous number). In geometric sequences, students must determine what each number is multiplied by in order to obtain the next number in the geometric sequence. This multiplier is called the common ratio. Sample geometric sequences include: Example 1: 2, 4, 8, 16, 32, The common ratio is 2 (multiply times 2). Example 2: 80, 20, 5, 1.25, The common ratio is 4 1 (multiply times 4 1 ). Example 3: Below is a geometric sequence. What is the 8 th term in the sequence? 3, 9, 27, 81, 243, 729, The common ratio is 3 (each number is multiplied by 3 to get the next number). Multiply to get the 7 th term. The 7 th term is 2,187. Next, multiply the 7 th term by 3. 2,187 3 = 6,561 The 8 th term in the geometric sequence is 6,561. 6

7 A variable expression can be written to express the relationship between two consecutive terms of a sequence. Examples: If n represents a number in the sequence 3, 6, 9, 12, the next term in the sequence can be determined using the variable expression n + 3. If n represents a number in the sequence 1, 5, 25, 125, the next term in the sequence can be determined by using the variable expression 5n. 7

8 SOL Practice Items provided by the VDOE, Answers are located on the last page of the booklet. SOL 7.2 (Patterns & Sequences)

9

10 SOL 7.13 The student will a) write verbal expressions as algebraic expressions and sentences as equations and vice versa; and b) evaluate algebraic expressions for given replacement values of the variables. An expression is a name for a number. An expression that contains a variable is a variable expression. An expression that contains only numbers is a numerical expression. A verbal expression is a word phrase. (e.g., the sum of two consecutive integers ) A verbal sentence is a complete word statement. (e.g., The sum of two consecutive integers is five. ) An algebraic expression is a variable expression that contains at least one variable. (e.g., 2x 5) Examples of Algebraic Expressions and Equivalent Verbal Expressions: Algebraic Expression x + (x + 1) Verbal Expression The sum of two consecutive integers 2x 4 3x + 8 Four less than twice a number Three times a number increased by eight Key words in translating verbal expressions/sentences to algebraic expressions/equations may include words and their translations such as: is to =, of to multiplication, more than to +, less than to, increased by to +, and decreased by to. 10

11 An algebraic equation is a mathematical statement that says that two expressions are equal. (e.g., 2x + 1 = 5) Examples of Algebraic Equations and Equivalent Verbal Sentences: Algebraic Equation Verbal Sentence = x Forty less than thirty is a number. x + 5 = 8 The sum of a number and five is eight x = 15 Three more than twice a number is fifteen. To evaluate an algebraic expression, substitute a given replacement value for a variable and apply the order of operations. For example, if a = 3 and b = -2 then 5a + b can be evaluated as: 5(3) + (-2) = 15 + (-2) = 13 The replacement values are the numbers that replace the variables in an algebraic expression. Example: If x = (-5), what is the value of this expression? x Step 1: x Step 2: (-5) Step 3: Step 4: The answer is

12 SOL Practice Items provided by the VDOE, Answers are located on the last page of the booklet. SOL 7.13 (Verbal Expressions and Algebraic Expressions & Sentences)

13

14

15

16

17

18 Testing Information Midpoint Test, 3 rd Nine Weeks The Midpoint Test will include questions from standards 7.11, 7.2 and 7.13 (included in this booklet), as well as questions from standards 7.8, 7.9 and 7.10, which were taught and tested earlier this school year. Use the 2 nd and 3 rd Nine Weeks Review Notes for Parents to prepare for this test. The 3 rd Nine Weeks Midpoint Test will be administered February 25 th through February 27th, Check with your child s teacher for the specific testing date. 18

19 SOL 7.14 The student will a) solve one- and two-step linear equations in one variable; and b) solve practical problems requiring the solution of one- and two-step linear equations. An equation is a mathematical sentence that states that two expressions are equal. A one-step equation is defined as an equation that requires the use of one operation to solve. Example: x + 3 = 4 x = 4 3 x = 7 The inverse operation for addition is subtraction, and the inverse operation for multiplication is division. A two-step equation is defined as an equation that requires the use of two operations to solve. Examples: 2x + 1 = -5; 2x = x = -6 2x x = -3 x x x 7 12 x x 19 19

20 SOL Practice Items provided by the VDOE, Answers are located on the last page of the booklet. SOL 7.14 (One- And Two-Step Linear Equations)

21

22

23

24 SOL 7.15 The student will a) solve one-step inequalities in one variable; and b) graph solutions to inequalities on the number line. A one-step inequality is defined as an inequality that requires the use of one operation to solve. Examples: x 4 > 9 2n -14 The inverse operation for addition is subtraction, and the inverse operation for multiplication is division. When both expressions of an inequality are multiplied or divided by a negative number, the inequality symbol reverses. Example: 3x < 15 is equivalent to x > 5. Solutions to inequalities can be represented using a number line. Example 1: x < 2½ Example 2: s 2 2 s s Note: When the solution to an inequality is > or <, it is represented on a graph using an open circle (Example 1 above). When the solution to an inequality is or, it is represented on a graph using a closed circle (Example 2 above). 24

25 SOL Practice Items provided by the VDOE, Answers are located on the last page of the booklet. SOL 7.15 (One-Step Inequalities in One Variable)

26 5 6 26

27 7 8 27

28 Testing Information 3 rd Nine Weeks Test The 3 rd Nine Weeks Test will include questions from all standards taught since the beginning of the school year. Use the 1 st, 2 nd and 3 rd Nine Weeks Review Notes for Parents to prepare for the 3 rd Nine Weeks Test. The 3 rd Nine Weeks Test will be administered the week of March 25 th, Check with your child s teacher for the specific testing date. The following pages contain links to video clips, vocabulary lists, and activities that can be used to review math information that is relevant for this grading period. 28

29 29

30 SOL Link QR Code 7.11 Creating Histograms Finding the common difference of an arithmetic sequence Compare arithmetic and geometric sequences Writing and evaluating verbal expressions & sentences as algebraic expressions & equations Writing and evaluating verbal expressions & sentences as algebraic expressions & equations AC3 30

31 7.14 Solving one-step equations Solving two-step equations Solving two-step equations Solving two-step equations using manipulatives Solving and graphing one-step inequalities 31

32 7.15 Solving and graphing one-step inequalities 32

33 cumulative frequency frequency distribution histogram arithmetic sequence common difference common ratio geometric sequence SOL 7.11 Includes a running total of the frequencies of all the previous groups Shows how often an item, a number, or a range of numbers occurs A special kind of bar graph in which the bars are used to represent the frequency of numerical data that have been organized in intervals SOL 7.2 A sequence in which each term is found by adding the same number to the previous term In an arithmetic sequence, the number that is added to each previous number to obtain the next number In a geometric sequence, the number that is multiplied by each previous number to obtain the next number A sequence in which each term can be found by multiplying the previous term by the same number 33

34 SOL 7.13 algebraic equation algebraic expression verbal expression verbal sentence expression A mathematical statement that states that two expressions are equal An expression with at least one variable A word phrase A complete word statement A name for a number inverse operation one-step equation two-step equation SOL 7.14 Operations that "undo" each other; addition and subtraction are inverse operations. Multiplication and division are inverse operations. An equation that requires only one operation to solve An equation that requires two operations to solve one-step inequality SOL 7.15 An inequality that requires only one operation to solve 34

35 SOL 7.13 Practice Activity Directions: Cut out each card and match the verbal expressions (on the left) with the algebraic expressions (on the right). The product of four and a number, decreased by seven 4x - 7 Triple the number of students in Erin s class divided by six is fifteen. 3x = 15 6 A number subtracted from seven is eight. 7 x = 8 Seven less than a number is eight. x 7 = 8 Forty less than a thirty is a number = x 35

36 36

37 SOL 7.13 (continued) Practice Activity Directions: Cut out each card and match the verbal expressions (on the left) with the algebraic expressions (on the right). The sum of a number and five is eight. x + 5 = 8 Three more than twice a number is fifteen x = 15 The sum of two consecutive integers x + (x + 1) Four less than twice a number 2x - 4 Three times a number increased by eight 3x

38 38

39 Released Test Answers (3 rd Nine Weeks) SOL 7.11 (Histograms) 1. G C SOL 7.2 (Patterns & Sequences) 1. A 2. H 3. B 4. C 5. D 6. A SOL 7.13 (Verbal Expressions and Algebraic Expressions & Sentences) 1. G 2. J 3. F 4. A 5. B 6. A 7. C 8. G 9. F 10. F 11. F 12. G 13. A 14. G 15. J 16. J 17. A 18. F 19. A 20. C 21. A SOL 7.14 (One- And Two-Step Linear Equations) 1. A 2. B 3. G 4. G 5. J 6. D 7. A 8. A 9. B 10. C 11. C 12. D 13. C 14. J 15. A 16. B 17. D 18. D hours SOL 7.15 (One-Step Inequalities in One Variable) 1. A 2. J 3. A 4. G D 7. B 8.

Standards of Learning Content Review Notes. Grade 7 Mathematics 3 rd Nine Weeks,

Standards of Learning Content Review Notes. Grade 7 Mathematics 3 rd Nine Weeks, Standards of Learning Content Review Notes Grade 7 Mathematics 3 rd Nine Weeks, 2016-2017 1 2 Content Review: Standards of Learning in Detail Grade 7 Mathematics: Third Nine Weeks 2016-2017 This resource

More information

Standards of Learning Content Review Notes. Grade 7 Mathematics 2 nd Nine Weeks,

Standards of Learning Content Review Notes. Grade 7 Mathematics 2 nd Nine Weeks, Standards of Learning Content Review Notes Grade 7 Mathematics 2 nd Nine Weeks, 2018-2019 Revised October 2018 1 2 Content Review: Standards of Learning in Detail Grade 7 Mathematics: Second Nine Weeks

More information

Standards of Learning Content Review Notes. Grade 8 Mathematics 1 st Nine Weeks,

Standards of Learning Content Review Notes. Grade 8 Mathematics 1 st Nine Weeks, Standards of Learning Content Review Notes Grade 8 Mathematics 1 st Nine Weeks, 2016-2017 Revised September 2015 2 Mathematics Content Review Notes Grade 8 Mathematics: First Nine Weeks 2015-2016 -This

More information

STANDARDS OF LEARNING CONTENT REVIEW NOTES. ALGEBRA I Part I. 1 st Nine Weeks,

STANDARDS OF LEARNING CONTENT REVIEW NOTES. ALGEBRA I Part I. 1 st Nine Weeks, STANDARDS OF LEARNING CONTENT REVIEW NOTES ALGEBRA I Part I 1 st Nine Weeks, 2016-2017 OVERVIEW Algebra I Content Review Notes are designed by the High School Mathematics Steering Committee as a resource

More information

7.12 The student will represent relationships with tables, graphs, rules, and words.

7.12 The student will represent relationships with tables, graphs, rules, and words. 7.12 The student will represent relationships with tables, graphs, rules, and words. HINTS & NOTES Relation- is a set of ordered pairs. Remember to always start from the origin. Origin is (0,0) Move horizontally

More information

Pre-Algebra (6/7) Pacing Guide

Pre-Algebra (6/7) Pacing Guide Pre-Algebra (6/7) Pacing Guide Vision Statement Imagine a classroom, a school, or a school district where all students have access to high-quality, engaging mathematics instruction. There are ambitious

More information

STANDARDS OF LEARNING CONTENT REVIEW NOTES. ALGEBRA I Part I. 2 nd Nine Weeks,

STANDARDS OF LEARNING CONTENT REVIEW NOTES. ALGEBRA I Part I. 2 nd Nine Weeks, STANDARDS OF LEARNING CONTENT REVIEW NOTES ALGEBRA I Part I 2 nd Nine Weeks, 2016-2017 OVERVIEW Algebra I Content Review Notes are designed by the High School Mathematics Steering Committee as a resource

More information

Algebra 1 Prince William County Schools Pacing Guide (Crosswalk)

Algebra 1 Prince William County Schools Pacing Guide (Crosswalk) Algebra 1 Prince William County Schools Pacing Guide 2017-2018 (Crosswalk) Teacher focus groups have assigned a given number of days to each unit based on their experiences and knowledge of the curriculum.

More information

ALGEBRA I CURRICULUM GUIDE Overview and Scope & Sequence

ALGEBRA I CURRICULUM GUIDE Overview and Scope & Sequence ALGEBRA I CURRICULUM GUIDE Overview and Scope & Sequence Loudoun County Public Schools 2013-2014 (Additional curriculum information and resources for teachers can be accessed through CMS) Algebra I Nine

More information

Math 6 Extended Prince William County Schools Pacing Guide (Crosswalk)

Math 6 Extended Prince William County Schools Pacing Guide (Crosswalk) Math 6 Extended Prince William County Schools Pacing Guide 2017-2018 (Crosswalk) Teacher focus groups have assigned a given number of days to each unit based on their experiences and knowledge of the curriculum.

More information

Mathematics. Algebra II Curriculum Guide. Curriculum Guide Revised 2016

Mathematics. Algebra II Curriculum Guide. Curriculum Guide Revised 2016 Mathematics Algebra II Curriculum Guide Curriculum Guide Revised 016 Intentionally Left Blank Introduction The Mathematics Curriculum Guide serves as a guide for teachers when planning instruction and

More information

Algebra II. Math Curriculum Guide

Algebra II. Math Curriculum Guide Algebra II Math Curriculum Guide Algebra II Curriculum Guide The DCPS Curriculum Guide contains key concepts and SOL numbers for each week. These skill areas must be crossed referenced with the DOE Enhanced

More information

Nine Week SOL Time Allotment. A.4a, b and A.5a - Properties. A.1b and A.3c - Order of Operations. A.1b - Evaluating Expression

Nine Week SOL Time Allotment. A.4a, b and A.5a - Properties. A.1b and A.3c - Order of Operations. A.1b - Evaluating Expression 6/5/2018 Nine Week SOL Time Allotment A.4a, b and A.5a - Properties A.1b and A.3c - Order of Operations A.1b - Evaluating Expression 3 Days 1 Day 4 Days 1 8.17 and 8.18 - Simplifying Expressions 4 Days

More information

Nine Week SOL Time Allotment

Nine Week SOL Time Allotment 6/5/2018 Nine Week SOL Time Allotment 1 Prerequisite Skills and Beginning of year activities A.1 Translating and Evaluating Expressions and Equations A.4 ace Solve Multi-step equations including variables

More information

STANDARDS OF LEARNING CONTENT REVIEW NOTES. ALGEBRA I Part II. 2 nd Nine Weeks,

STANDARDS OF LEARNING CONTENT REVIEW NOTES. ALGEBRA I Part II. 2 nd Nine Weeks, STANDARDS OF LEARNING CONTENT REVIEW NOTES ALGEBRA I Part II 2 nd Nine Weeks, 2016-2017 1 OVERVIEW Algebra I Content Review Notes are designed by the High School Mathematics Steering Committee as a resource

More information

Exponents. Reteach. Write each expression in exponential form (0.4)

Exponents. Reteach. Write each expression in exponential form (0.4) 9-1 Exponents You can write a number in exponential form to show repeated multiplication. A number written in exponential form has a base and an exponent. The exponent tells you how many times a number,

More information

Virginia Unit-Specific Learning Pathways. Grades 6-Algebra I: Standards of Learning

Virginia Unit-Specific Learning Pathways. Grades 6-Algebra I: Standards of Learning BUI L T F O VIR R G INIA 2014 2015 Virginia -Specific Learning Pathways Grades 6-Algebra I: Standards of Learning Table of Contents Grade 6...3 Grade 7...6 Grade 8...9 Algebra I... 11 Grade 6 Virginia

More information

Addition, Subtraction, Multiplication, and Division

Addition, Subtraction, Multiplication, and Division 5. OA Write and interpret numerical expression. Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols. Write simple expressions that record calculations

More information

ALGEBRA I CURRICULUM GUIDE Overview and Scope & Sequence

ALGEBRA I CURRICULUM GUIDE Overview and Scope & Sequence ALGEBRA I CURRICULUM GUIDE Overview and Scope & Sequence Loudoun County Public Schools 2017-2018 (Additional curriculum information and resources for teachers can be accessed through CMS and VISION) 1

More information

ALGEBRA GRADE 7 MINNESOTA ACADEMIC STANDARDS CORRELATED TO MOVING WITH MATH. Part B Student Book Skill Builders (SB)

ALGEBRA GRADE 7 MINNESOTA ACADEMIC STANDARDS CORRELATED TO MOVING WITH MATH. Part B Student Book Skill Builders (SB) MINNESOTA ACADEMIC STANDARDS CORRELATED TO MOVING WITH MATH ALGEBRA GRADE 7 NUMBER AND OPERATION Read, write, represent and compare positive and negative rational numbers, expressed as integers, fractions

More information

Equations and Inequalities

Equations and Inequalities Algebra I SOL Expanded Test Blueprint Summary Table Blue Hyperlinks link to Understanding the Standards and Essential Knowledge, Skills, and Processes Reporting Category Algebra I Standards of Learning

More information

Mathematics. Algebra I (PreAP, Pt. 1, Pt. 2) Curriculum Guide. Revised 2016

Mathematics. Algebra I (PreAP, Pt. 1, Pt. 2) Curriculum Guide. Revised 2016 Mathematics Algebra I (PreAP, Pt. 1, Pt. ) Curriculum Guide Revised 016 Intentionally Left Blank Introduction The Mathematics Curriculum Guide serves as a guide for teachers when planning instruction and

More information

Math 8 Notes Units 1B: One-Step Equations and Inequalities

Math 8 Notes Units 1B: One-Step Equations and Inequalities Math 8 Notes Units 1B: One-Step Equations and Inequalities Solving Equations Syllabus Objective: (1.10) The student will use order of operations to solve equations in the real number system. Equation a

More information

ALGEBRA 1. Interactive Notebook Chapter 2: Linear Equations

ALGEBRA 1. Interactive Notebook Chapter 2: Linear Equations ALGEBRA 1 Interactive Notebook Chapter 2: Linear Equations 1 TO WRITE AN EQUATION: 1. Identify the unknown (the variable which you are looking to find) 2. Write the sentence as an equation 3. Look for

More information

All rights reserved. Reproduction of these materials for instructional purposes in public school classrooms in Virginia is permitted.

All rights reserved. Reproduction of these materials for instructional purposes in public school classrooms in Virginia is permitted. Algebra I Copyright 2009 by the Virginia Department of Education P.O. Box 2120 Richmond, Virginia 23218-2120 http://www.doe.virginia.gov All rights reserved. Reproduction of these materials for instructional

More information

STANDARDS OF LEARNING CONTENT REVIEW NOTES. ALGEBRA I Part II 1 st Nine Weeks,

STANDARDS OF LEARNING CONTENT REVIEW NOTES. ALGEBRA I Part II 1 st Nine Weeks, STANDARDS OF LEARNING CONTENT REVIEW NOTES ALGEBRA I Part II 1 st Nine Weeks, 2016-2017 OVERVIEW Algebra I Content Review Notes are designed by the High School Mathematics Steering Committee as a resource

More information

Mathematics Online Instructional Materials Correlation to the 2009 Algebra II Standards of Learning and Curriculum Framework

Mathematics Online Instructional Materials Correlation to the 2009 Algebra II Standards of Learning and Curriculum Framework and Curriculum Framework Provider York County School Division Course Title Algebra II AB Last Updated 2010-11 Course Syllabus URL http://yorkcountyschools.org/virtuallearning/coursecatalog.aspx AII.1 The

More information

Grade AM108R 7 + Mastering the Standards ALGEBRA. By Murney R. Bell

Grade AM108R 7 + Mastering the Standards ALGEBRA. By Murney R. Bell Hayes AM108R Mastering the Standards ALGEBRA By Murney R. Bell Grade 7 + Mastering the Standards Algebra By Murney R. Bell Illustrated by Reneé Yates Copyright 2008, Hayes School Publishing Co., Inc.,

More information

Prentice Hall Algebra , (Smith/Charles) Correlated to: Arkansas Mathematics Curriculum, Algebra 1 (Grades 9-12)

Prentice Hall Algebra , (Smith/Charles) Correlated to: Arkansas Mathematics Curriculum, Algebra 1 (Grades 9-12) Arkansas Mathematics Curriculum, Algebra 1 (Grades 9-12) Algebra I These are the SLEs that must be mastered in Algebra I. Other algebraic properties should be taught to adequately prepare students for

More information

King William High School Curriculum Pacing Guide ALGEBRA II. Grade/Course. Time Frame

King William High School Curriculum Pacing Guide ALGEBRA II. Grade/Course. Time Frame King William High School 2010-2011 Curriculum Pacing Guide Grade/Course ALGEBRA II Time Frame Unit/SOLs 7 days Recognize field properties AII. 1 (commutative, associative, identity, inverse, distributive)

More information

Algebra I. Mathematics Curriculum Framework. Revised 2004 Amended 2006

Algebra I. Mathematics Curriculum Framework. Revised 2004 Amended 2006 Algebra I Mathematics Curriculum Framework Revised 2004 Amended 2006 Course Title: Algebra I Course/Unit Credit: 1 Course Number: Teacher Licensure: Secondary Mathematics Grades: 9-12 Algebra I These are

More information

Unit Essential Questions. How do you represent relationships between quantities that are not equal?

Unit Essential Questions. How do you represent relationships between quantities that are not equal? Unit Essential Questions How do you represent relationships between quantities that are not equal? Can inequalities that appear to be different be equivalent? How can you solve inequalities? Williams Math

More information

Absolute Value Inequalities (Advanced Only)

Absolute Value Inequalities (Advanced Only) Unit 1: Linear Functions and Inequalities Time Frame: 5 weeks August 16 to September 20, 2011 Unit Description This unit focuses on the development of concepts of functions that was begun in Algebra I

More information

Bishop Kelley High School Summer Math Program Course: Algebra II B

Bishop Kelley High School Summer Math Program Course: Algebra II B 016 017 Summer Math Program Course: NAME: DIRECTIONS: Show all work in the packet. You may not use a calculator. No matter when you have math, this packet is due on the first day of class This material

More information

Northampton County Schools Algebra II Mathematics Pacing Guide

Northampton County Schools Algebra II Mathematics Pacing Guide Northampton County Schools Algebra II Mathematics 2009-2010 Pacing Guide Grading Periods Included 1 st Nine Weeks 2 nd Nine Weeks Northampton County Schools Department of Curriculum & Instruction 9-12

More information

Middle School Algebra 1 Pacing Guide Lynchburg City Schools

Middle School Algebra 1 Pacing Guide Lynchburg City Schools Grading Period: 1 st Nine Weeks Days to Teach = 44 SOL & Enabling Objectives: Description Text Recommended Activities Time Frame Begin the school year with relationship building activities continue integrating

More information

STANDARDS OF LEARNING CONTENT REVIEW NOTES ALGEBRA II. 2 nd Nine Weeks,

STANDARDS OF LEARNING CONTENT REVIEW NOTES ALGEBRA II. 2 nd Nine Weeks, STANDARDS OF LEARNING CONTENT REVIEW NOTES ALGEBRA II 2 nd Nine Weeks, 2016-2017 1 OVERVIEW Algebra II Content Review Notes are designed by the High School Mathematics Steering Committee as a resource

More information

Sacred Heart School Course Syllabus

Sacred 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 information

Park Forest Math Team. Meet #3. Algebra. Self-study Packet

Park Forest Math Team. Meet #3. Algebra. Self-study Packet Park Forest Math Team Meet #3 Self-study Packet Problem Categories for this Meet: 1. Mystery: Problem solving 2. Geometry: Angle measures in plane figures including supplements and complements 3. Number

More information

Pre AP Algebra. Mathematics Standards of Learning Curriculum Framework 2009: Pre AP Algebra

Pre AP Algebra. Mathematics Standards of Learning Curriculum Framework 2009: Pre AP Algebra Pre AP Algebra Mathematics Standards of Learning Curriculum Framework 2009: Pre AP Algebra 1 The content of the mathematics standards is intended to support the following five goals for students: becoming

More information

Region 16 Board of Education. Precalculus Curriculum

Region 16 Board of Education. Precalculus Curriculum Region 16 Board of Education Precalculus Curriculum 2008 1 Course Description This course offers students an opportunity to explore a variety of concepts designed to prepare them to go on to study calculus.

More information

Mathematics Pacing Guide

Mathematics Pacing Guide Washington County Department of of Education Seventh Fourth Second Third Sixth First Grade Mathematics Pacing Guide Teacher School The Washington County K-8 Pacing Guides for Mathematics represent minimal

More information

STANDARDS OF LEARNING CONTENT REVIEW NOTES HONORS ALGEBRA II. 1 st Nine Weeks,

STANDARDS OF LEARNING CONTENT REVIEW NOTES HONORS ALGEBRA II. 1 st Nine Weeks, STANDARDS OF LEARNING CONTENT REVIEW NOTES HONORS ALGEBRA II 1 st Nine Weeks, 2016-2017 OVERVIEW Algebra II Content Review Notes are designed by the High School Mathematics Steering Committee as a resource

More information

Parent Guide. Number System. Diocese of Cleveland

Parent Guide. Number System. Diocese of Cleveland Parent Guide Grade Eight Algebra Curriculum Diocese of Cleveland Below is a list of skills your child will be taught in Grade Eight Algebra. As parents, you are encouraged to support the work of your child

More information

Grade 7 Algebra Concepts I

Grade 7 Algebra Concepts I Grade 7 Algebra Concepts I Copyright 2009 by the Virginia Department of Education P.O. Box 2120 Richmond, Virginia 23218-2120 http://www.doe.virginia.gov All rights reserved. Reproduction of these materials

More information

Solving Systems (A.5): 5 blocks - Graphing (1 block) - Substitution (2 blocks) - Elimination (2 blocks)

Solving Systems (A.5): 5 blocks - Graphing (1 block) - Substitution (2 blocks) - Elimination (2 blocks) MATH: Algebra 1 Pacing: 18 blocks Review Unit (A.1): 5 blocks **Time here will depend on students prior knowledge** - Translating and Evaluating -Order of Operations -Multiple representations (concrete,

More information

Section 1.1: Patterns in Division

Section 1.1: Patterns in Division Section 1.1: Patterns in Division Dividing by 2 All even numbers are divisible by 2. E.g., all numbers ending in 0,2,4,6 or 8. Dividing by 4 1. Are the last two digits in your number divisible by 4? 2.

More information

GRADE 7 MATH LEARNING GUIDE. Lesson 26: Solving Linear Equations and Inequalities in One Variable Using

GRADE 7 MATH LEARNING GUIDE. Lesson 26: Solving Linear Equations and Inequalities in One Variable Using GRADE 7 MATH LEARNING GUIDE Lesson 26: Solving Linear Equations and Inequalities in One Variable Using Guess and Check Time: 1 hour Prerequisite Concepts: Evaluation of algebraic expressions given values

More information

GRADE 8: ALGEBRA BASICS CURRICULUM FRAMEWORKS

GRADE 8: ALGEBRA BASICS CURRICULUM FRAMEWORKS NUMBER AND OPERATION (encompasses 6-8 MCA test items) Standard 1: Read, write, compare, classify and represent real numbers, and use them to solve problems in various contexts. (encompasses 6-8 MCA test

More information

Muskogee Public Schools Curriculum Map

Muskogee Public Schools Curriculum Map Muskogee Public Schools Curriculum Map 2009-20010 Course: Algebra II Grade Level: 9-12 Nine- 1 st Nine Standard 1: Number Systems and Algebraic Operations - The student will perform operations with rational,

More information

Use ordered pairs to locate points, to organize data,

Use ordered pairs to locate points, to organize data, Eighth Grade Math Scope and Sequence Lesson Title Lesson Objective(s) TEKS First Six Weeks Problem Solving Use problem solving strategies including making a plan and choosing an appropriate method of 8.1B;

More information

CISC - Curriculum & Instruction Steering Committee. California County Superintendents Educational Services Association

CISC - Curriculum & Instruction Steering Committee. California County Superintendents Educational Services Association CISC - Curriculum & Instruction Steering Committee California County Superintendents Educational Services Association Primary Content Module The Winning EQUATION Algebra I - Linear Equations and Inequalities

More information

MIDDLE SCHOOL SPECIAL EDUCATION STUDY SKILLS MATH CURRICULUM GRADE EIGHT

MIDDLE SCHOOL SPECIAL EDUCATION STUDY SKILLS MATH CURRICULUM GRADE EIGHT VALLEY CENTRAL SCHOOL DISTRICT 944 STATE ROUTE 17K MONTGOMERY, NY 12549 Telephone Number: (845) 457-2400 ext. 8121 FAX NUMBER: (845) 457-4254 MIDDLE SCHOOL SPECIAL EDUCATION STUDY SKILLS MATH CURRICULUM

More information

VOYAGER INSIDE ALGEBRA CORRELATED TO THE NEW JERSEY STUDENT LEARNING OBJECTIVES AND CCSS.

VOYAGER INSIDE ALGEBRA CORRELATED TO THE NEW JERSEY STUDENT LEARNING OBJECTIVES AND CCSS. We NJ Can STUDENT Early Learning LEARNING Curriculum OBJECTIVES PreK Grades 8 12 VOYAGER INSIDE ALGEBRA CORRELATED TO THE NEW JERSEY STUDENT LEARNING OBJECTIVES AND CCSS www.voyagersopris.com/insidealgebra

More information

MS Algebra 1 Scope and Sequence Quarter 1 Overview

MS Algebra 1 Scope and Sequence Quarter 1 Overview Quarter 1 Overview Equations, Inequalities, Absolute Value Students must master creating, solving, and In 7 th grade, students will have developed a Write, solve, and interpret multi-step equations analyzing

More information

Mathematics HOW TO HELP YOUR CHILD SUCCEED IN SCHOOL E D U C A T I O N. Dear Parent/Guardian:

Mathematics HOW TO HELP YOUR CHILD SUCCEED IN SCHOOL E D U C A T I O N. Dear Parent/Guardian: HOW TO HELP YOUR CHILD SUCCEED IN SCHOOL Mathematics 7 Dear Parent/Guardian: Patterns and Relations (identifying patterns You play an important part in helping your child and relationships and applying

More information

First Quarter Second Quarter Third Quarter Fourth Quarter Unit 1: Expressions and Operations 2.5 weeks/6 blocks

First Quarter Second Quarter Third Quarter Fourth Quarter Unit 1: Expressions and Operations 2.5 weeks/6 blocks Algebra 1/Algebra 1 Honors Pacing Guide Focus: Third Quarter First Quarter Second Quarter Third Quarter Fourth Quarter Unit 1: Expressions and Operations 2.5 weeks/6 blocks Unit 2: Equations 2.5 weeks/6

More information

Sand Springs Public Schools Algebra I Local Objectives

Sand Springs Public Schools Algebra I Local Objectives 1st Six Weeks Plan for Problem Solving Real Number Operations with Integers Adding and Subtracting Rational Numbers Multiplying and Dividing Rational Numbers The Percent Proportion Simple Probability and

More information

Students will be able to simplify numerical expressions and evaluate algebraic expressions. (M)

Students will be able to simplify numerical expressions and evaluate algebraic expressions. (M) Morgan County School District Re-3 August What is algebra? This chapter develops some of the basic symbolism and terminology that students may have seen before but still need to master. The concepts of

More information

NFC ACADEMY COURSE OVERVIEW

NFC 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 information

Math 6 Notes Unit 02: Introduction to Algebra

Math 6 Notes Unit 02: Introduction to Algebra Math 6 Notes Unit 0: Introduction to Algebra Evaluating Algebraic Expressions NEW CCSS 6.EE.b Identify parts of an expression using mathematical terms (sum, term, product, factor, quotient, coefficient);

More information

Comparison of Virginia s College and Career Ready Mathematics Performance Expectations with the Common Core State Standards for Mathematics

Comparison of Virginia s College and Career Ready Mathematics Performance Expectations with the Common Core State Standards for Mathematics Comparison of Virginia s College and Career Ready Mathematics Performance Expectations with the Common Core State Standards for Mathematics February 17, 2010 1 Number and Quantity The Real Number System

More information

Unit 4 - Equations and Inequalities - Vocabulary

Unit 4 - Equations and Inequalities - Vocabulary 12/5/17 Unit 4 Unit 4 - Equations and Inequalities - Vocabulary Begin on a new page Write the date and unit in the top corners of the page Write the title across the top line Review Vocabulary: Absolute

More information

Unit Overview. Content Area: Algebra 2 Unit Title: Preparing for Advanced Algebra Target Course/Grade Level Duration: 10 days

Unit Overview. Content Area: Algebra 2 Unit Title: Preparing for Advanced Algebra Target Course/Grade Level Duration: 10 days Content Area: Algebra 2 Unit Title: Preparing for Advanced Algebra Target Course/Grade Level Duration: 10 days 11 th or 12 th graders Description This chapter 0 contains lessons on topics from previous

More information

WCPS Eighth Grade Math Pacing Guide

WCPS Eighth Grade Math Pacing Guide First Nine Weeks NEW 2016 MATH SOL Review Number and Number Sense from 7.1 (negative exponents, powers of 10, scientific notation, square roots, perfect squares and absolute value, Compare and Order Real

More information

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

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

More information

Minnesota 7 th Grade 2007 Math Strands & Standards

Minnesota 7 th Grade 2007 Math Strands & Standards Minnesota 7 th Grade 2007 Math Strands & Standards Number & Operation Algebra Geometry & Measurement Data Analysis Read, write, represent and compare positive and negative rational numbers, expressed as

More information

Curriculum Guide Cover Page

Curriculum Guide Cover Page Curriculum Guide Cover Page Course Title: Pre-Algebra Grade Level: 8 th Grade Subject/Topic Area: Math Written by: Jason Hansen Revised Date: November 2013 Time Frame: One School Year (170 days) School

More information

1 st Grade LEUSD Learning Targets in Mathematics

1 st Grade LEUSD Learning Targets in Mathematics 1 st Grade LEUSD Learning Targets in Mathematics 8/21/2015 The learning targets below are intended to provide a guide for teachers in determining whether students are exhibiting characteristics of being

More information

Expressions, Equations and Inequalities Guided Notes

Expressions, Equations and Inequalities Guided Notes Expressions, Equations and Inequalities Guided Notes Standards: Alg1.M.A.SSE.A.01a - The Highly Proficient student can explain the context of different parts of a formula presented as a complicated expression.

More information

Middle school mathematics is a prerequisite for Algebra 1A. Before beginning this course, you should be able to do the following:

Middle school mathematics is a prerequisite for Algebra 1A. Before beginning this course, you should be able to do the following: Syllabus Algebra 1A Course Overview Algebra is a branch of mathematics that uses symbols in place of numbers to describe and generalize relationships. In Algebra 1A, you will explore relationships between

More information

1. Which is an irrational number? B 0.28 C The value of 6 is between which two integers? A 2 and 3. B 5 and 7. C 35 and 37.

1. Which is an irrational number? B 0.28 C The value of 6 is between which two integers? A 2 and 3. B 5 and 7. C 35 and 37. 1. Which is an irrational number? A 2 8 B 0.28 C 28 2. The value of 6 is between which two integers? A 2 and 3 B 5 and 7 C 35 and 37 Page 1 3. Each edge of the cube shown below is 2 inches long. If each

More information

First Nine Weeks Grade: 9 Subject: Algebra I Year: IN PROGRESS

First Nine Weeks Grade: 9 Subject: Algebra I Year: IN PROGRESS First Nine Weeks Grade: 9 Subject: Algebra I Year: IN PROGRESS 2017-2018 # Day s SO L Student Essential Knowledge and Skills 2 Teacher/Alge bra Introductions Students and teachers will become acquainted

More information

8 th Grade Essential Learnings

8 th Grade Essential Learnings 8 th Grade Essential Learnings Subject: Math Grade/Course: 8 th Grade AG1 EL # Ex 1 Essential Learning Benchmark (framed by Standard) Learning Goal Topic (Report Card) NCTM Focal Points (Grade Level and/or

More information

Mini Lecture 1.1 Introduction to Algebra: Variables and Mathematical Models

Mini Lecture 1.1 Introduction to Algebra: Variables and Mathematical Models Mini Lecture. Introduction to Algebra: Variables and Mathematical Models. Evaluate algebraic expressions.. Translate English phrases into algebraic expressions.. Determine whether a number is a solution

More information

CURRICULUM MAP. Course/Subject: Honors Math I Grade: 10 Teacher: Davis. Month: September (19 instructional days)

CURRICULUM MAP. Course/Subject: Honors Math I Grade: 10 Teacher: Davis. Month: September (19 instructional days) Month: September (19 instructional days) Numbers, Number Systems and Number Relationships Standard 2.1.11.A: Use operations (e.g., opposite, reciprocal, absolute value, raising to a power, finding roots,

More information

Joke Time. Writing Expressions and Equations. Chapter 7.1. What did the ground say to the earthquake? You "crack" me up!

Joke Time. Writing Expressions and Equations. Chapter 7.1. What did the ground say to the earthquake? You crack me up! Chapter 7.1 Writing Expressions and Equations Joke Time What did the ground say to the earthquake? You "crack" me up! Why did the Music teacher need a ladder? To reach the "HIGH" notes! What do elves learn

More information

Nine Week SOL Time Allotment. 6.4 Exponents and Perfect Squares 1 week. 6.3 Integer Understanding 1 week. 6.6ab Integer Operations

Nine Week SOL Time Allotment. 6.4 Exponents and Perfect Squares 1 week. 6.3 Integer Understanding 1 week. 6.6ab Integer Operations 6/5/2018 1 Nine Week SOL Time Allotment 1 6.4 Exponents and Perfect Squares 1 week 6.3 Integer Understanding 1 week 6.6ab Integer Operations 2 weeks 6.6c Order of Operations 2 weeks 6.8 Coordinate Plane

More information

Algebra I, 1st 4.5 weeks

Algebra I, 1st 4.5 weeks The following practice standards will be used throughout the 4.5 weeks:. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and

More information

Third Grade Report Card Rubric 1 Exceeding 2 Meeting 3 Developing 4 Area of Concern

Third Grade Report Card Rubric 1 Exceeding 2 Meeting 3 Developing 4 Area of Concern Concepts Assessed by Unit and Trimester Units 5, 6, 7, 8 Units 5, 6, 7 Units 5, 6, 7, 8 1 Exceeding 2 Meeting 3 Developing 4 Area of Concern Student exceeds expectations of this unit Student is meeting

More information

P arenthesis E xponents M ultiplication D ivision A ddition S ubtraction

P arenthesis E xponents M ultiplication D ivision A ddition S ubtraction Section 1: Order of Operations P arenthesis E xponents M ultiplication D ivision A ddition S ubtraction Simplify the following: (18 + 4) 3(10 2 3 2 6) Work inside first set of parenthesis first = 22 3(10

More information

Lesson ACTIVITY: Tree Growth

Lesson ACTIVITY: Tree Growth Lesson 3.1 - ACTIVITY: Tree Growth Obj.: use arrow diagrams to represent expressions. evaluate expressions. write expressions to model realworld situations. Algebraic expression - A symbol or combination

More information

Algebra I+ Pacing Guide. Days Units Notes Chapter 1 ( , )

Algebra I+ Pacing Guide. Days Units Notes Chapter 1 ( , ) Algebra I+ Pacing Guide Days Units Notes Chapter 1 (1.1-1.4, 1.6-1.7) Expressions, Equations and Functions Differentiate between and write expressions, equations and inequalities as well as applying order

More information

Prentice Hall Algebra 1, Oklahoma Edition 2011

Prentice Hall Algebra 1, Oklahoma Edition 2011 Prentice Hall Algebra 1, Oklahoma Edition 2011 Algebra I C O R R E L A T E D T O, Algebra I (Updated August 2006) PROCESS STANDARDS High School The National Council of Teachers of Mathematics (NCTM) has

More information

1: Translating Expressions

1: Translating Expressions Algebra I 2017-2018 1: Translating Expressions Translate between words and math symbols, such as: The sum of twice a number and 3 Answer: 2n + 3 Also translate math symbols into verbal language. 5(x +

More information

Variable Expression: a collection of numbers, variables, and operations *Expressions DO NOT have signs. Ex: If x = 3 6x = Ex: if y = 9..

Variable Expression: a collection of numbers, variables, and operations *Expressions DO NOT have signs. Ex: If x = 3 6x = Ex: if y = 9.. Algebra 1 Chapter 1 Note Packet Name Section 1.1: Variables in Algebra Variable: a letter that is used to represent one or more numbers Ex: x, y, t, etc. (*The most popular one is x ) Variable Values:

More information

English 3 rd Grade A-L Vocabulary Cards and Word Walls Revised: May 31, 2013

English 3 rd Grade A-L Vocabulary Cards and Word Walls Revised: May 31, 2013 English 3 rd Grade A-L Vocabulary Cards and Word Walls Revised: May 31, 2013 Important Notes for Teachers: The vocabulary cards in this file match the Common Core, the math curriculum adopted by the Utah

More information

Algebra III INSTRUCTIONAL PACING GUIDE (Days Based on 90 minutes)

Algebra III INSTRUCTIONAL PACING GUIDE (Days Based on 90 minutes) EA, IA, PC-1. Connect algebra and trigonometry with other branches of mathematics. EA, IA, PC-1.7 G-1. G-1.8 G-1.9 Understand how to represent algebraic and trigonometric relationships by using tools such

More information

CURRICULUM CATALOG. Algebra I (3130) VA

CURRICULUM CATALOG. Algebra I (3130) VA 2018-19 CURRICULUM CATALOG Table of Contents COURSE OVERVIEW... 1 UNIT 1: FOUNDATIONS OF ALGEBRA... 1 UNIT 2: LINEAR EQUATIONS... 2 UNIT 3: FUNCTIONS... 2 UNIT 4: INEQUALITIES AND LINEAR SYSTEMS... 2 UNIT

More information

ALGEBRA I CURRICULUM OUTLINE

ALGEBRA I CURRICULUM OUTLINE ALGEBRA I CURRICULUM OUTLINE 2013-2014 OVERVIEW: 1. Operations with Real Numbers 2. Equation Solving 3. Word Problems 4. Inequalities 5. Graphs of Functions 6. Linear Functions 7. Scatterplots and Lines

More information

Algebraic Connections. Mathematics Curriculum Framework. Revised 2004

Algebraic Connections. Mathematics Curriculum Framework. Revised 2004 Algebraic Connections Mathematics Curriculum Framework Revised 2004 Course Title: Algebraic Connections (Third-year Course) Course/Unit Credit: 1 Course Number: Teacher Licensure: Secondary Mathematics

More information

ALGEBRA II CURRICULUM GUIDE Overview and Scope & Sequence

ALGEBRA II CURRICULUM GUIDE Overview and Scope & Sequence Scope and Sequence Quarter 1 ALGEBRA II CURRICULUM GUIDE Overview and Scope & Sequence Loudoun County Public Schools 2017-2018 (Additional curriculum information and resources for teachers can be accessed

More information

Math 1 Summer Assignment 2017

Math 1 Summer Assignment 2017 Math 1 Summer Assignment 2017 Assignment Due: Monday, August 28, 2017 Name: The following packet contains topics and definitions that you will be required to know in order to succeed in Math 1 this year.

More information

Correlation: California State Curriculum Standards of Mathematics for Grade 6 SUCCESS IN MATH: BASIC ALGEBRA

Correlation: California State Curriculum Standards of Mathematics for Grade 6 SUCCESS IN MATH: BASIC ALGEBRA Correlation: California State Curriculum Standards of Mathematics for Grade 6 To SUCCESS IN MATH: BASIC ALGEBRA 1 ALGEBRA AND FUNCTIONS 1.0 Students write verbal expressions and sentences as algebraic

More information

7 th Grade MCA3 Standards, Benchmarks, Examples, Test Specifications & Sampler Questions

7 th Grade MCA3 Standards, Benchmarks, Examples, Test Specifications & Sampler Questions 7 th Grade 3 Standards, Benchmarks, Examples, Test Specifications & Sampler Questions Strand Standard No. Benchmark (7 th Grade) Sampler Item Number & Operation 12-16 Items Modified 7-9 Items Read, write,

More information

Grade 8 Please show all work. Do not use a calculator! Please refer to reference section and examples.

Grade 8 Please show all work. Do not use a calculator! Please refer to reference section and examples. Grade 8 Please show all work. Do not use a calculator! Please refer to reference section and examples. Name Date due: Tuesday September 4, 2018 June 2018 Dear Middle School Parents, After the positive

More information

7th Grade Mathematics

7th Grade Mathematics Course Description In, instructional time should focus on four critical areas: (1) developing understanding of and applying proportional relationships; (2) developing understanding of operations with rational

More information

Academic Outcomes Mathematics

Academic Outcomes Mathematics Academic Outcomes Mathematics Mathematic Content Standards Overview: TK/ Kindergarten Counting and Cardinality: Know number names and the count sequence. Count to tell the number of objects. Compare numbers.

More information

Agile Mind Grade 7 Scope and Sequence, Common Core State Standards for Mathematics

Agile Mind Grade 7 Scope and Sequence, Common Core State Standards for Mathematics In Grade 6, students developed an understanding of variables from two perspectives as placeholders for specific values and as representing sets of values represented in algebraic relationships. They applied

More information

Pennsylvania Core Standards in Mathematics Grades 6-8

Pennsylvania Core Standards in Mathematics Grades 6-8 A Correlation of Grades 6-8 2017 to the Pennsylvania Core Standards in Mathematics Grades 6-8 Introduction envisionmath2.0 is all grown up! New envisionmath2.0 for grades 6 through 8 empowers every middle

More information