Standards of Learning Content Review Notes. Grade 7 Mathematics 3 rd Nine Weeks,
|
|
- Erick Hall
- 6 years ago
- Views:
Transcription
1 Standards of Learning Content Review Notes Grade 7 Mathematics 3 rd Nine Weeks,
2 2
3 Content Review: Standards of Learning in Detail Grade 7 Mathematics: Third Nine Weeks 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. 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). 3
4 SOL Practice Items provided by the VDOE, Answers are located on the last page of the booklet. SOL 7.11 (Histograms) 1 2 4
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 or 0.25). 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. SOL Practice Items provided by the VDOE, Answers are located on the last page of the booklet. SOL 7.2 (Patterns & Sequences) 1 2 What is the common difference of the arithmetic sequence shown below? -5, -1, 3, 7 A 2 B 4 C 6 D 8 3 7
8
9 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. 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. 9
10 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 35. 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)
11
12
13
14
15 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. 1 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 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) 1 15
16
17
18
19 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). 19
20 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)
21
22 SOL 7.12 The student will represent relationships with tables, graphs, rules, and words. Rules that relate elements in two sets can be represented by word sentences, equations, tables of values, graphs, or illustrated pictorially. A relation is any set of ordered pairs. For each first member, there may be many second members. A function is a relation in which there is one and only one second member for each first member. Example: Which number replaces the? in the table? x x + (-2) -2 + (-2)? 0 + (-2) 1 + (-2) 2 + (-2) y -4? The value of x is given in the top row. The work for the function is given in the second row. Replace the x in x + (-2) so that it reads -1 + (-2) to determine the missing value. The correct answer is
23 As a table of values, a function has a unique value assigned to the second variable for each value of the first variable. As a graph, a function is any curve (including straight lines) such that any vertical line would pass through the curve only once. Examples: These are examples of graphed functions. y = x + 3 y = x + 2 x y Some relations are functions; all functions are relations. 23
24 SOL Practice Items provided by the VDOE, Answers are located on the last page of the booklet. SOL 7.12 (Relations & Functions) 1. Which table contains only values that satisfy the following? y = 2x 2. Which table contains only values that satisfy the following? y = x The graph displays the relationship between time and profit. Which equation represents the relationship between time (t) and profit (P)? 24
25 4. Which is true for all values in the table? 5. Which contains only values that make the following true? y = 2x Which table contains only values that satisfy the following? y = x 1 7. Which graph appears to contain all the ordered pairs in the table? 25
26 8. Graph three points that are on the line represented by y = 2x -1. The coordinates of the points must be integers. 9. Which table of values represents the same relationship as the rule? 10. Which rule is best represented by this graph? 26
27 11. Larry charges a customer a one-time fee of $15 plus $40 each week. Which table has values that represent this situation? 12. Plot three points on the coordinate plane that lie on the relation represented by The coordinates of the points must be integers. 13. Which number sentence represents the relation shown in this table? 27
28 28
29 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 29
30 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 Solving and graphing one-step inequalities 30
31 cumulative frequency frequency distribution histogram arithmetic sequence common difference common ratio geometric sequence Vocabulary 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 algebraic equation algebraic expression SOL 7.13 A mathematical statement that states that two expressions are equal An expression with at least one variable 31
32 verbal expression verbal sentence expression equation A word phrase A complete word statement A name for a number A mathematical sentence that states that two expressions are equal inverse operation one-step equation two-step equation one-step inequality function relation 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 SOL 7.15 An inequality that requires only one operation to solve SOL 7.12 A rule that pairs exactly one element of a set with one and only one element of another set A set of ordered pairs, in which for each first number there may be many second numbers 32
33 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 four is seven. 3x = 7 4 A number subtracted from seven is four. 7 x = 4 Seven less than a number is four. x 7 = 4 Four less than seven is a number. 7 4 = x The sum of a number and four is seven. x + 4 = 7 Four more than twice a number is seven x = 7 The sum of two consecutive integers x + (x + 1) Four less than twice a number 2x - 4 Three times a number increased by seven 3x
34 Released Test Answers (3 rd Nine Weeks) SOL 7.11 (Histograms) 1. G C B SOL 7.2 (Patterns & Sequences) 1. A 2. B 3. C 4. D 5. A 6. a) common difference b) 4 c) , 1, 3, -3 5 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 SOL 7.13 Continued 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 SOL 7.15 (One-Step Inequalities in One Variable) 1. A 2. J 3. A 4. G C 7. A 8. B B 11. C 10. C 11. C 12. D 13. C 14. J 15. A 16. B 17. D 18. D hours 34
35 SOL 7.12 (Relations and Functions) 35
Mathematics Review Notes for Parents and Students
Mathematics Review Notes for Parents and Students Grade 7 Mathematics 3 rd Nine Weeks, 2013-2014 1 2 Content Review: Standards of Learning in Detail Grade 7 Mathematics: Third Nine Weeks 2013-2014 June
More informationStandards 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 informationStandards 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 information7.12 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 informationSTANDARDS 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 informationPre-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 informationAddition, 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 informationSTANDARDS 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 informationMath 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 informationAlgebra 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 informationALGEBRA 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 informationMathematics. 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 informationExponents. 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 informationSection 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 informationAlgebra 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 informationSTANDARDS 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 informationVirginia 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 informationAlgebra 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 informationSTANDARDS 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 informationEquations 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 informationNine 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 informationNine 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 informationMathematics 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 informationMathematics. 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 informationALGEBRA 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 informationALGEBRA 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 informationAll 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 informationPrentice 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 informationCISC - 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 informationMath 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 informationALGEBRA 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 informationAgile 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 informationKing 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 informationGRADE 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 informationExpressions, 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 informationGrade 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 informationRegion 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 informationGrade 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 informationSand 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 informationSTANDARDS 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 informationGRADE 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 information7 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 informationUnit 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 informationMath 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 informationEvaluate algebraic expressions and use exponents. Translate verbal phrases into expressions.
Algebra 1 Notes Section 1.1: Evaluate Expressions Section 1.3: Write Expressions Name: Hour: Objectives: Section 1.1: (The "NOW" green box) Section 1.3: Evaluate algebraic expressions and use exponents.
More informationUse 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 informationMuskogee 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 informationVOYAGER 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 informationCLASS NOTES: 2 1 thru 2 3 and 1 1 Solving Inequalities and Graphing
page 1 of 19 CLASS NOTES: 2 1 thru 2 3 and 1 1 Solving Inequalities and Graphing 1 1: Real Numbers and Their Graphs Graph each of the following sets. Positive Integers: { 1, 2, 3, 4, } Origin: { 0} Negative
More informationMinnesota 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 informationA Story of Ratios: A Curriculum Overview for Grades 6-8
New York State Common Core 6-8 Mathematics Curriculum GRADE A Story of Ratios: A Curriculum Overview for Grades 6-8 Table of Contents Introduction... 2 Curriculum Map... 3 Grade 6... 4 Grade 7... 13 Grade
More informationNew Mexico Curriculum Framework Correlated to Merit Software Mathematics Programs
New Mexico Curriculum Framework Correlated to Merit Software Mathematics Programs Middle School 5-8 Benchmark: Use mathematical models to represent and understand quantitative relationships Grade Performance
More informationWillmar Public Schools Curriculum Map
Note: Problem Solving Algebra Prep is an elective credit. It is not a math credit at the high school as its intent is to help students prepare for Algebra by providing students with the opportunity to
More informationMS 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 informationAlgebra 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 informationPre 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 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 informationSTANDARDS 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 informationALGEBRAIC PRINCIPLES
ALGEBRAIC PRINCIPLES Numbers and Operations Standard: 1 Understands and applies concepts of numbers and operations Power 1: Understands numbers, ways of representing numbers, relationships among numbers,
More informationFirst 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 informationVariable 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 informationTraditionally, an Algebra 1 course focuses on
Traditionally, an Algebra 1 course focuses on rules or specific strategies for solving standard types of symbolic manipulation problems usually to simplify or combine expressions or solve equations. For
More informationCurriculum 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 informationBEMIDJI AREA SCHOOLS Outcomes in Mathematics Grade 7
Outcomes in Mathematics Grade Know that every rational number can be written as the ratio of two integers or as a terminating or repeating decimal. Recognize that π is not rational, but.1.1.1 that it can
More informationx y x y ax bx c x Algebra I Course Standards Gap 1 Gap 2 Comments a. Set up and solve problems following the correct order of operations (including proportions, percent, and absolute value) with rational
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 informationNorthampton 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 informationMini-Lecture 2.1 Simplifying Algebraic Expressions
Copyright 01 Pearson Education, Inc. Mini-Lecture.1 Simplifying Algebraic Expressions 1. Identify terms, like terms, and unlike terms.. Combine like terms.. Use the distributive property to remove parentheses.
More informationSolving 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 informationParent 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 informationMilford Public Schools Curriculum
Milford Public Schools Curriculum Department: Mathematics Course Name: Math 07 UNIT 1 Unit Title: Operating with Rational Numbers (add/sub) Unit Description: Number System Apply and extend previous understandings
More informationMIDDLE 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 informationFirst 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 information7th Grade IC - I Cans...
Ratios and Proportional Relationships 7.RP Analyze proportional relationships and use them to solve real-world and mathematical problems. 1. Compute unit rates associated with ratios of fractions, including
More informationFocus Topic 1 Add and Subtract Rational Numbers (3 weeks)
7th Grade Math Curriculum Map 2013-2014 Focus Topic 1 Add and Subtract Rational Numbers (3 weeks) 7.NS.A.1 Apply and extend previous understandings of addition and subtraction to add and subtract rational
More informationMini 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 informationNine 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 informationFlorida Department of Education Sunshine State Standards Mathematics and FCAT Benchmarks Grades 1 8. FOCUS on Mathematics Series
Florida Department of Education Sunshine State Standards Mathematics and s Grades 8 Correlated to FOCUS on Mathematics Series December 008 CURRICULUM ASSOCIATES, Inc. Florida Department of Education Sunshine
More informationLesson 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 informationAlgebra 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 informationP 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 informationGRADES 7-8: ALGEBRA 1 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 information1: 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 informationSequence of Grade 7 Modules Aligned with the Standards
Sequence of Grade 7 Modules Aligned with the Standards Module 1: Ratios and Proportional Relationships Module 2: Rational Numbers Module 3: Expressions and Equations Module 4: Percent and Proportional
More informationSpring 2012 Student Performance Analysis
Spring 2012 Student Performance Analysis Algebra I Standards of Learning Presentation may be paused and resumed using the arrow keys or the mouse. 1 Representing and Evaluating Cube Roots and Square Roots
More informationMathematics 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 informationMiddle 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 informationALGEBRA 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 informationComparison 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 informationBUILD YOUR VOCABULARY
C H A P T E R BUILD YOUR VOCABULARY This is an alphabetical list of new vocabulary terms you will learn in Chapter. As you complete the study notes for the chapter, you will see Build Your Vocabulary reminders
More informationA.REI.B.3: Solve Linear Equations and Inequalities in One Variable.
A.REI.B.3: Solve Linear Equations and Inequalities in One Variable. EQUATIONS AND INEQUALITIES A.REI.B.3: Solving Linear Equations and Inequalities in One Variable B. Solve equations and inequalities in
More informationJoke 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 informationCourse Number 432/433 Title Algebra II (A & B) H Grade # of Days 120
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 informationUNIT 4 NOTES: PROPERTIES & EXPRESSIONS
UNIT 4 NOTES: PROPERTIES & EXPRESSIONS Vocabulary Mathematics: (from Greek mathema, knowledge, study, learning ) Is the study of quantity, structure, space, and change. Algebra: Is the branch of mathematics
More informationPrentice 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 informationAcademic 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 information7th 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 informationEnhanced Instructional Transition Guide
Enhanced Instructional Transition Guide / Unit 05: Suggested Duration: 9 days Unit 05: Algebraic Representations and Applications (13 days) Possible Lesson 01 (4 days) Possible Lesson 02 (9 days) POSSIBLE
More informationUnit 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 informationMath 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