Mathematics. What to expect Resources Study Strategies Helpful Preparation Tips Problem Solving Strategies and Hints Test taking strategies


 Dorcas Carter
 5 years ago
 Views:
Transcription
1 Mathematics Before reading this section, make sure you have read the appropriate description of the mathematics section test (computerized or paper) to understand what is expected of you in the mathematics section of the Praxis I. There are many hints and strategies presented below to help get you started on studying and to give you an idea of what to expect on the test. You should consult a test prep book to get a comprehensive and detailed description of topics and problems with thorough explanations. What to expect Resources Study Strategies Helpful Preparation Tips Problem Solving Strategies and Hints Test taking strategies What to expect For the computer test, you will have 75 minutes for 46 multiplechoice questions focusing on key mathematics concepts, problem solving, and quantitative reasoning. For the paper test, you will have 60 minutes for 40 multiplechoice questions focusing on key mathematics concepts, problem solving, and quantitative reasoning. There are three main content categories: Conceptual Knowledge and Procedural Knowledge Conceptual Knowledge Number Sense and Operations Sense with whole numbers, fractions, and decimals Order and Equivalence among whole numbers, fractions, and decimals Numeration and Place Value Whole Number Properties Operation Properties of addition, subtraction, multiplication, and division Order of Operations Procedural Knowledge Computation, including identifying needed information and/or operations to solve a problem Estimation Ratio, Proportion, and Percent Probability Equations and Inequalities
2 Algorithmic thinking, including following algorithms, and analyzing and finding patterns in procedures Representations of Quantitative Information Interpretation: interpret various types of graphs, plots, charts, flow charts, and diagrams; recognize relationships in data, find and interpret basic statistical measures, such as mean, median, mode, range Detect and interpret trends Make inferences and draw conclusions from data Identify patterns in data, such as variation Make connections between various representations of data, such as tables; graphs; formulas and rules; symbols, numbers, and words Measurement and Informal Geometry, Formal Mathematical Reasoning Measurement and Informal Geometry Systems of Measurement, including conversions and use of appropriate units in U.S. customary and metric systems Measurement, including solving problems by using geometric concepts, formulas, estimation, indirect measurement, visual comparison, scaling, proportional reasoning, and nonstandard units Geometric Properties Formal Mathematical Reasoning Logical Connectives and Quantifiers Validity of Arguments, based on deductive reasoning Generalization As you read this list, if you could not identify or define a term or two, write those down. Then make sure to read about these topics before your test. Resources Through the ETS website, you can purchase an actual fulllength PPST Mathematics test (Practice Test: PPST Mathematics) that has been used in previous test administrations. ETS recommends you use this in conjunction with their Study Guide. Praxis Made Easy, by Lynn Gardner. Available from You can purchase a hard copy of the book or get same day access by purchasing the electronic copy. This is a great resource! There are no long explanations and complicated theory, just short rules and hints for each topic. And there are tons of problems, each with detailed answers and explanations. Check out the testtaking tips on the website, too!
3 Any of the general Praxis test prep books will help you prepare for the mathematics section. Barron's How to Prepare for the PPST and Computerized PPST, by Robert Postman, has a good mathematics section. You may want to take the Mathematics Review Quiz first. The answers to the quiz identify the specific mathematics topic involved in each question, so you can go directly to the topic that you need to review. Study Strategies There are many concepts, formulas, and rules you will need to know. There are two preparation strategies you should consider. 1. Go through a review book section by section. If you do not feel comfortable at all with mathematics and you feel like you need as much help as you can get then you should develop a comprehensive and structured review schedule for yourself. Find a prep book that you like and study a specific section or set of topics everyday. Test yourself on those concepts and move on after you feel confident with these ideas. 2. Review specific concepts/topics. If you feel more comfortable with mathematics in general or with specific topics in mathematics, then take a practice test first. Identify the areas you need to work on. For example, take the Mathematics Review Quiz in the prep book, Barron's How to Prepare for the PPST and Computerized PPST, by Robert Postman. The answers are organized by review section, so you can go directly to the topic that you need to review. Study the particular topics you need help on by reviewing the specific sections in your test prep book, a math book, or an online resource. There are some great online math resources that are arranged by topic. Try purplemath.com or math.com. When taking practice tests, simulate the testtaking environment as much as possible so that you become comfortable with the constraints of the actual testtaking situation. Work on problems in a timed environment. Use scratch paper, not a calculator. When checking answers to practice tests, read through the explanations for all the problems, even the ones you answered correctly, and make note of the topics you need to read up on. Calculators are prohibited! So practice problems in a timed environment. You will want to be able to complete your calculations quickly so that you can focus on your problemsolving strategies.
4 Yes, calculators are prohibited! So practice your estimation skills. It is often not necessary to solve the entire problem to find the appropriate response. If you look at the answers first, you may not have to complete the problem, or you may be able to work with round numbers to make the computations easier. Remember, calculators are prohibited! So know your times tables! This will save you from wasting valuable time. Did I mention calculators are prohibited? So practice adding, subtracting, multiplying and dividing by hand. Practice with whole numbers, decimals, and fractions! Helpful Preparation Tips Practice times tables. You can practice filling in a chart. X Buy a set of flashcards for young learners. Review divisibility rules. Check out these websites: divisibility rules at about.com or divisibility rules at mathforum.org Review scientific notation. A number greater than or equal to 1 but less than 10 multiplied by a power of 10 is written in scientific notation. o Example: 2,350,000 written in scientific notation is 2.35 x To write out a number given in scientific notation, use the following rules: o If the power of 10 is a positive number, add zeroes to the right of the base number and move the decimal place to the right the number of the power. Example: To expand 1.68 x 10 4, write and move the decimal place to the right four times to get
5 o If the power of 10 is a negative number, add zeroes to the left of the base number and move the decimal place to the left the number of the power. Example: To expand 4.12 x 105, write and move the decimal place to the left five times to get Practice converting between decimals, percents, and fractions. To convert a percent to a decimal, move the decimal point to the left two spaces. o Example: 85.5% is To convert a decimal to a percent, move the decimal point to the right two spaces. o Examples: 0.60 is 60% and 0.04 is 4%. To convert a decimal to a fraction, place the number to the right of the decimal point in the numerator (on top) and place a 1 followed by as many zeroes as there are digits to the right of the decimal place in the denominator (on the bottom). 416 o Example: = To convert a fraction to a decimal, divide the denominator into the numerator. o Example: = Review metric measurement units. Check out these websites: metric measurements at purplemath.com or metric measurements at mathforum.org. Review basic geometry principles. Know properties of basic shapes, such as quadrilaterals (including rectangles, squares, and trapezoids), circles, triangles. Learn the formulas for area, perimeter, and volume for basic twodimensional and threedimensional shapes. Review the Pythagorean theorem. Learn about the Pythagorean Theorem at math.com Practice data analysis. Look at tables, charts, graphs, etc. in newspapers, magazines, and online resources of your interest. What does the table, chart, or graph tell you? Practice interpreting data by writing a sentence or two explaining the results in the table, chart, or graph. Review basic probability rules. Probability is represented by a number between 0 and 1.
6 The probability of a specific outcome is represented by number of desired outcomes total number of possible outcomes. Example: There are 3 red marbles and 2 blue marbles in a bag. The probability that I pick a blue marble is 2/5, or 0.4. Problem Solving Strategies and Hints First, identify what area of mathematics is involved. Examples Do they ask which numbers are larger, smaller, or equivalent? You will need to use your number sense. Do they use words like area, perimeter, angle, side, triangle, rectangle, etc. You will need geometry. Do they ask questions about data shown in a chart, graph, or pictograph? You will need to use your data analysis skills. Do they use words like ratio or ask questions like, If it takes 4 hours to sew 3 dresses, how long will it take to sew 7 dresses? You will need to use your ratio and proportion skills. Identify knowns/unknowns. Example: The sum of 6 and 3 times a number is 30. What is the number? Known: the sum of two numbers is 30; one of the numbers is 6 Unknown: the other number Example: A square and a rectangle have the same area. The rectangle has length 9 and width 4. What is the perimeter of the square? Known: length and width of the rectangle, area of the rectangle and the square (because area of a rectangle is length x width) Unknown: the length of the side of the square; the perimeter of the square Translate word problems into mathematical expressions. Example: The sum of 6 and 3 times a number is 30. What is the number? Start with 3 times a number. Use n to represent the number that you do not know yet. Then 3 times a number is 3 x n or 3n. Next, look at the sum of 6 and 3n. You can rewrite that as 6 + 3n. Then, 6 + 3n is 30 may be written as 6 + 3n = 30. Then solve for n (see below).
7 Maintain equalities and inequalities. Whatever you do on one side, you must do on the other. Example: 6 + 3n = n = n = 24 3n 3 = 24 3 n = 8 If you multiple or divide both sides of an inequality by a negative number, you must switch the direction of the inequality Example: 7 < 4 (1) (7) > (1)(4) 7 > 4 Example: 2x + 6 > 142x > x > 82x (2) < 8 (2) x < 4 Draw pictures, graphs, visual representations. Examples Use a number line to determine the order of numbers. Use a number line to help you add and subtract negative and positive numbers. Draw pictures of geometric shapes. There are some questions where you need to use the answer choices to find the correct response. Don t try to solve the problem independently of the answer choices. Guess and check each answer choice until you find the correct answer. Example: If 2x + 4y = 8, which of the following answer choices are possible values for x and y? (A) x = 2 and y = 6 (B) x = 10 and y = 3 (C) x = 10 and y = 3 (D) x = 4 and y = 2 (E) x = 2 and y = 6 Try answer choice (A): 2(2) + 4(6) = = 28 8 Try answer choice (B): 2(10) + 4(3) = 20 + (12) = 8. The correct answer is (B). You do not need to check the remaining answer choices. Test taking strategies
8 Skip questions that may take longer. You may return to them later. You may want to make a reasonable guess (you have a 20% chance!) so that you have an answer recorded in case you run out of time. Read the possible answers along with the question. You may be able to eliminate one or more possible responses right away. Rephrase the question into a real life situation. Try testing patterns or relationships with smaller, easytoworkwith numbers before returning to the given numbers or symbols. Try to keep your written calculations organized (near the problem in the paperbased test booklet or on the computerized test scrap paper) so that you can easily find them again if you go back to a question. Good luck! Do not worry about your difficulties in Mathematics, I can assure you mine are still greater Albert Einstein
Math 0980 Chapter Objectives. Chapter 1: Introduction to Algebra: The Integers.
Math 0980 Chapter Objectives Chapter 1: Introduction to Algebra: The Integers. 1. Identify the place value of a digit. 2. Write a number in words or digits. 3. Write positive and negative numbers used
More informationGlencoe. correlated to SOUTH CAROLINA MATH CURRICULUM STANDARDS GRADE 6 33, 58 84, 87 16, 49
Glencoe correlated to SOUTH CAROLINA MATH CURRICULUM STANDARDS GRADE 6 STANDARDS 68 Number and Operations (NO) Standard I. Understand numbers, ways of representing numbers, relationships among numbers,
More informationPrentice Hall: Middle School Math, Course 1 2002 Correlated to: New York Mathematics Learning Standards (Intermediate)
New York Mathematics Learning Standards (Intermediate) Mathematical Reasoning Key Idea: Students use MATHEMATICAL REASONING to analyze mathematical situations, make conjectures, gather evidence, and construct
More informationModuMath Basic Math Basic Math 1.1  Naming Whole Numbers Basic Math 1.2  The Number Line Basic Math 1.3  Addition of Whole Numbers, Part I
ModuMath Basic Math Basic Math 1.1  Naming Whole Numbers 1) Read whole numbers. 2) Write whole numbers in words. 3) Change whole numbers stated in words into decimal numeral form. 4) Write numerals in
More informationMACMILLAN/McGRAWHILL. MATH CONNECTS and IMPACT MATHEMATICS WASHINGTON STATE MATHEMATICS STANDARDS. ESSENTIAL ACADEMIC LEARNING REQUIREMENTS (EALRs)
MACMILLAN/McGRAWHILL MATH CONNECTS and IMPACT MATHEMATICS TO WASHINGTON STATE MATHEMATICS STANDARDS ESSENTIAL ACADEMIC LEARNING REQUIREMENTS (EALRs) And GRADE LEVEL EXPECTATIONS (GLEs) / Edition, Copyright
More information096 Professional Readiness Examination (Mathematics)
096 Professional Readiness Examination (Mathematics) Effective after October 1, 2013 MISGFLD096M02 TABLE OF CONTENTS PART 1: General Information About the MTTC Program and Test Preparation OVERVIEW
More informationISAT Mathematics Performance Definitions Grade 4
ISAT Mathematics Performance Definitions Grade 4 EXCEEDS STANDARDS Fourthgrade students whose measured performance exceeds standards are able to identify, read, write, represent, and model whole numbers
More informationMATH 0110 Developmental Math Skills Review, 1 Credit, 3 hours lab
MATH 0110 Developmental Math Skills Review, 1 Credit, 3 hours lab MATH 0110 is established to accommodate students desiring noncourse based remediation in developmental mathematics. This structure will
More informationCurrent Standard: Mathematical Concepts and Applications Shape, Space, and Measurement Primary
Shape, Space, and Measurement Primary A student shall apply concepts of shape, space, and measurement to solve problems involving two and threedimensional shapes by demonstrating an understanding of:
More informationNumber Sense and Operations
Number Sense and Operations representing as they: 6.N.1 6.N.2 6.N.3 6.N.4 6.N.5 6.N.6 6.N.7 6.N.8 6.N.9 6.N.10 6.N.11 6.N.12 6.N.13. 6.N.14 6.N.15 Demonstrate an understanding of positive integer exponents
More informationAssessment Anchors and Eligible Content
M07.AN The Number System M07.AN.1 M07.AN.1.1 DESCRIPTOR Assessment Anchors and Eligible Content Aligned to the Grade 7 Pennsylvania Core Standards Reporting Category Apply and extend previous understandings
More informationHow do you compare numbers? On a number line, larger numbers are to the right and smaller numbers are to the left.
The verbal answers to all of the following questions should be memorized before completion of prealgebra. Answers that are not memorized will hinder your ability to succeed in algebra 1. Number Basics
More informationEVERY DAY COUNTS CALENDAR MATH 2005 correlated to
EVERY DAY COUNTS CALENDAR MATH 2005 correlated to Illinois Mathematics Assessment Framework Grades 35 E D U C A T I O N G R O U P A Houghton Mifflin Company YOUR ILLINOIS GREAT SOURCE REPRESENTATIVES:
More information MartensdaleSt. Marys Community School Math Curriculum
 MartensdaleSt. Marys Community School Standard 1: Students can understand and apply a variety of math concepts. Benchmark; The student will: A. Understand and apply number properties and operations.
More informationBig Ideas in Mathematics
Big Ideas in Mathematics which are important to all mathematics learning. (Adapted from the NCTM Curriculum Focal Points, 2006) The Mathematics Big Ideas are organized using the PA Mathematics Standards
More informationConsumer Math 15 INDEPENDENT LEAR NING S INC E 1975. Consumer Math
Consumer Math 15 INDEPENDENT LEAR NING S INC E 1975 Consumer Math Consumer Math ENROLLED STUDENTS ONLY This course is designed for the student who is challenged by abstract forms of higher This math. course
More informationNEW MEXICO Grade 6 MATHEMATICS STANDARDS
PROCESS STANDARDS To help New Mexico students achieve the Content Standards enumerated below, teachers are encouraged to base instruction on the following Process Standards: Problem Solving Build new mathematical
More informationEveryday Mathematics CCSS EDITION CCSS EDITION. Content Strand: Number and Numeration
CCSS EDITION Overview of 6 GradeLevel Goals CCSS EDITION Content Strand: Number and Numeration Program Goal: Understand the Meanings, Uses, and Representations of Numbers Content Thread: Rote Counting
More informationIllinois State Standards Alignments Grades Three through Eleven
Illinois State Standards Alignments Grades Three through Eleven Trademark of Renaissance Learning, Inc., and its subsidiaries, registered, common law, or pending registration in the United States and other
More informationEveryday Mathematics GOALS
Copyright Wright Group/McGrawHill GOALS The following tables list the GradeLevel Goals organized by Content Strand and Program Goal. Content Strand: NUMBER AND NUMERATION Program Goal: Understand the
More informationIndicator 2: Use a variety of algebraic concepts and methods to solve equations and inequalities.
3 rd Grade Math Learning Targets Algebra: Indicator 1: Use procedures to transform algebraic expressions. 3.A.1.1. Students are able to explain the relationship between repeated addition and multiplication.
More informationScope and Sequence KA KB 1A 1B 2A 2B 3A 3B 4A 4B 5A 5B 6A 6B
Scope and Sequence Earlybird Kindergarten, Standards Edition Primary Mathematics, Standards Edition Copyright 2008 [SingaporeMath.com Inc.] The check mark indicates where the topic is first introduced
More informationFOREWORD. Executive Secretary
FOREWORD The Botswana Examinations Council is pleased to authorise the publication of the revised assessment procedures for the Junior Certificate Examination programme. According to the Revised National
More informationCommon Core Unit Summary Grades 6 to 8
Common Core Unit Summary Grades 6 to 8 Grade 8: Unit 1: Congruence and Similarity 8G18G5 rotations reflections and translations,( RRT=congruence) understand congruence of 2 d figures after RRT Dilations
More informationMathematics Scope and Sequence, K8
Standard 1: Number and Operation Goal 1.1: Understands and uses numbers (number sense) Mathematics Scope and Sequence, K8 Grade Counting Read, Write, Order, Compare Place Value Money Number Theory K Count
More informationGrade 6 Mathematics Assessment. Eligible Texas Essential Knowledge and Skills
Grade 6 Mathematics Assessment Eligible Texas Essential Knowledge and Skills STAAR Grade 6 Mathematics Assessment Mathematical Process Standards These student expectations will not be listed under a separate
More informationMinnesota Academic Standards
A Correlation of to the Minnesota Academic Standards Grades K6 G/M204 Introduction This document demonstrates the high degree of success students will achieve when using Scott Foresman Addison Wesley
More informationPreAlgebra 2008. Academic Content Standards Grade Eight Ohio. Number, Number Sense and Operations Standard. Number and Number Systems
Academic Content Standards Grade Eight Ohio PreAlgebra 2008 STANDARDS Number, Number Sense and Operations Standard Number and Number Systems 1. Use scientific notation to express large numbers and small
More informationFlorida Math 0028. Correlation of the ALEKS course Florida Math 0028 to the Florida Mathematics Competencies  Upper
Florida Math 0028 Correlation of the ALEKS course Florida Math 0028 to the Florida Mathematics Competencies  Upper Exponents & Polynomials MDECU1: Applies the order of operations to evaluate algebraic
More informationCharlesworth School Year Group Maths Targets
Charlesworth School Year Group Maths Targets Year One Maths Target Sheet Key Statement KS1 Maths Targets (Expected) These skills must be secure to move beyond expected. I can compare, describe and solve
More informationIn mathematics, there are four attainment targets: using and applying mathematics; number and algebra; shape, space and measures, and handling data.
MATHEMATICS: THE LEVEL DESCRIPTIONS In mathematics, there are four attainment targets: using and applying mathematics; number and algebra; shape, space and measures, and handling data. Attainment target
More information1 ST GRADE COMMON CORE STANDARDS FOR SAXON MATH
1 ST GRADE COMMON CORE STANDARDS FOR SAXON MATH Calendar The following tables show the CCSS focus of The Meeting activities, which appear at the beginning of each numbered lesson and are taught daily,
More informationG C.3 Construct the inscribed and circumscribed circles of a triangle, and prove properties of angles for a quadrilateral inscribed in a circle.
Performance Assessment Task Circle and Squares Grade 10 This task challenges a student to analyze characteristics of 2 dimensional shapes to develop mathematical arguments about geometric relationships.
More informationFunctional Math II. Information CourseTitle. Types of Instruction
Functional Math II Course Outcome Summary Riverdale School District Information CourseTitle Functional Math II Credits 0 Contact Hours 135 Instructional Area Middle School Instructional Level 8th Grade
More informationGRADES 7, 8, AND 9 BIG IDEAS
Table 1: Strand A: BIG IDEAS: MATH: NUMBER Introduce perfect squares, square roots, and all applications Introduce rational numbers (positive and negative) Introduce the meaning of negative exponents for
More informationMATH 60 NOTEBOOK CERTIFICATIONS
MATH 60 NOTEBOOK CERTIFICATIONS Chapter #1: Integers and Real Numbers 1.1a 1.1b 1.2 1.3 1.4 1.8 Chapter #2: Algebraic Expressions, Linear Equations, and Applications 2.1a 2.1b 2.1c 2.2 2.3a 2.3b 2.4 2.5
More informationPerformance Level Descriptors Grade 6 Mathematics
Performance Level Descriptors Grade 6 Mathematics Multiplying and Dividing with Fractions 6.NS.12 Grade 6 Math : SubClaim A The student solves problems involving the Major Content for grade/course with
More informationAcademic Standards for Mathematics
Academic Standards for Grades Pre K High School Pennsylvania Department of Education INTRODUCTION The Pennsylvania Core Standards in in grades PreK 5 lay a solid foundation in whole numbers, addition,
More informationCAMI Education linked to CAPS: Mathematics
 1  TOPIC 1.1 Whole numbers _CAPS curriculum TERM 1 CONTENT Mental calculations Revise: Multiplication of whole numbers to at least 12 12 Ordering and comparing whole numbers Revise prime numbers to
More informationAnchorage School District/Alaska Sr. High Math Performance Standards Algebra
Anchorage School District/Alaska Sr. High Math Performance Standards Algebra Algebra 1 2008 STANDARDS PERFORMANCE STANDARDS A1:1 Number Sense.1 Classify numbers as Real, Irrational, Rational, Integer,
More information1st Grade Math Standard I Rubric. Number Sense. Score 4 Students show proficiency with numbers beyond 100.
1st Grade Math Standard I Rubric Number Sense Students show proficiency with numbers beyond 100. Students will demonstrate an understanding of number sense by: counting, reading, and writing whole numbers
More informationCommon Core State Standards for Mathematics Accelerated 7th Grade
A Correlation of 2013 To the to the Introduction This document demonstrates how Mathematics Accelerated Grade 7, 2013, meets the. Correlation references are to the pages within the Student Edition. Meeting
More informationWORK SCHEDULE: MATHEMATICS 2007
, K WORK SCHEDULE: MATHEMATICS 00 GRADE MODULE TERM... LO NUMBERS, OPERATIONS AND RELATIONSHIPS able to recognise, represent numbers and their relationships, and to count, estimate, calculate and check
More informationMATH 095, College Prep Mathematics: Unit Coverage Prealgebra topics (arithmetic skills) offered through BSE (Basic Skills Education)
MATH 095, College Prep Mathematics: Unit Coverage Prealgebra topics (arithmetic skills) offered through BSE (Basic Skills Education) Accurately add, subtract, multiply, and divide whole numbers, integers,
More informationHigher Education Math Placement
Higher Education Math Placement Placement Assessment Problem Types 1. Whole Numbers, Fractions, and Decimals 1.1 Operations with Whole Numbers Addition with carry Subtraction with borrowing Multiplication
More informationMeasurement with Ratios
Grade 6 Mathematics, Quarter 2, Unit 2.1 Measurement with Ratios Overview Number of instructional days: 15 (1 day = 45 minutes) Content to be learned Use ratio reasoning to solve realworld and mathematical
More informationAlgebra 1: Basic Skills Packet Page 1 Name: Integers 1. 54 + 35 2. 18 ( 30) 3. 15 ( 4) 4. 623 432 5. 8 23 6. 882 14
Algebra 1: Basic Skills Packet Page 1 Name: Number Sense: Add, Subtract, Multiply or Divide without a Calculator Integers 1. 54 + 35 2. 18 ( 30) 3. 15 ( 4) 4. 623 432 5. 8 23 6. 882 14 Decimals 7. 43.21
More informationPrentice Hall Mathematics, Algebra 1 2009
Prentice Hall Mathematics, Algebra 1 2009 Grades 912 C O R R E L A T E D T O Grades 912 Prentice Hall Mathematics, Algebra 1 Program Organization Prentice Hall Mathematics supports student comprehension
More informationNumeracy and mathematics Experiences and outcomes
Numeracy and mathematics Experiences and outcomes My learning in mathematics enables me to: develop a secure understanding of the concepts, principles and processes of mathematics and apply these in different
More informationGrade 5 Math Content 1
Grade 5 Math Content 1 Number and Operations: Whole Numbers Multiplication and Division In Grade 5, students consolidate their understanding of the computational strategies they use for multiplication.
More informationWhat to Expect on the Compass
What to Expect on the Compass What is the Compass? COMPASS is a set of untimed computer adaptive tests created by the American College Test (ACT) Program. Because COMPASS tests are "computer adaptive,"
More informationPocantico Hills School District Grade 1 Math Curriculum Draft
Pocantico Hills School District Grade 1 Math Curriculum Draft Patterns /Number Sense/Statistics Content Strands: Performance Indicators 1.A.1 Determine and discuss patterns in arithmetic (what comes next
More informationGrade 5 Mathematics Curriculum Guideline Scott Foresman  Addison Wesley 2008. Chapter 1: Place, Value, Adding, and Subtracting
Grade 5 Math Pacing Guide Page 1 of 9 Grade 5 Mathematics Curriculum Guideline Scott Foresman  Addison Wesley 2008 Test Preparation Timeline Recommendation: September  November Chapters 15 December
More informationPrentice Hall Algebra 2 2011 Correlated to: Colorado P12 Academic Standards for High School Mathematics, Adopted 12/2009
Content Area: Mathematics Grade Level Expectations: High School Standard: Number Sense, Properties, and Operations Understand the structure and properties of our number system. At their most basic level
More informationMATHS LEVEL DESCRIPTORS
MATHS LEVEL DESCRIPTORS Number Level 3 Understand the place value of numbers up to thousands. Order numbers up to 9999. Round numbers to the nearest 10 or 100. Understand the number line below zero, and
More informationFlorida Department of Education/Office of Assessment January 2012. Grade 6 FCAT 2.0 Mathematics Achievement Level Descriptions
Florida Department of Education/Office of Assessment January 2012 Grade 6 FCAT 2.0 Mathematics Achievement Level Descriptions Grade 6 FCAT 2.0 Mathematics Reporting Category Fractions, Ratios, Proportional
More informationChapter 111. Texas Essential Knowledge and Skills for Mathematics. Subchapter B. Middle School
Middle School 111.B. Chapter 111. Texas Essential Knowledge and Skills for Mathematics Subchapter B. Middle School Statutory Authority: The provisions of this Subchapter B issued under the Texas Education
More informationTom wants to find two real numbers, a and b, that have a sum of 10 and have a product of 10. He makes this table.
Sum and Product This problem gives you the chance to: use arithmetic and algebra to represent and analyze a mathematical situation solve a quadratic equation by trial and improvement Tom wants to find
More informationFlorida Math 0018. Correlation of the ALEKS course Florida Math 0018 to the Florida Mathematics Competencies  Lower
Florida Math 0018 Correlation of the ALEKS course Florida Math 0018 to the Florida Mathematics Competencies  Lower Whole Numbers MDECL1: Perform operations on whole numbers (with applications, including
More informationOpenEnded ProblemSolving Projections
MATHEMATICS OpenEnded ProblemSolving Projections Organized by TEKS Categories TEKSING TOWARD STAAR 2014 GRADE 7 PROJECTION MASTERS for PROBLEMSOLVING OVERVIEW The Projection Masters for ProblemSolving
More informationPrentice Hall Mathematics: Course 1 2008 Correlated to: Arizona Academic Standards for Mathematics (Grades 6)
PO 1. Express fractions as ratios, comparing two whole numbers (e.g., ¾ is equivalent to 3:4 and 3 to 4). Strand 1: Number Sense and Operations Every student should understand and use all concepts and
More informationQuick Reference ebook
This file is distributed FREE OF CHARGE by the publisher Quick Reference Handbooks and the author. Quick Reference ebook Click on Contents or Index in the left panel to locate a topic. The math facts listed
More informationNCTM Curriculum Focal Points for Grade 5. Everyday Mathematics, Grade 5
NCTM Curriculum Focal Points and, Grade 5 NCTM Curriculum Focal Points for Grade 5 Number and Operations and Algebra: Developing an understanding of and fluency with division of whole numbers Students
More information7 th Grade Math Foundations for Teaching Unit One: Numbers & Operations Module One: Rational Number s
Unit One: Numbers & Operations Module One: s Day/Date TEKS Activities and Resources Essential Question Aug 25 Aug 26 Aug 27 Aug 28 Aug 29 (SS) (SS) (SS) (SS)  First Day Procedures  Math Class Student
More informationEveryday Mathematics. Grade 4 GradeLevel Goals. 3rd Edition. Content Strand: Number and Numeration. Program Goal Content Thread GradeLevel Goals
Content Strand: Number and Numeration Understand the Meanings, Uses, and Representations of Numbers Understand Equivalent Names for Numbers Understand Common Numerical Relations Place value and notation
More informationMath Placement Test Study Guide. 2. The test consists entirely of multiple choice questions, each with five choices.
Math Placement Test Study Guide General Characteristics of the Test 1. All items are to be completed by all students. The items are roughly ordered from elementary to advanced. The expectation is that
More informationBridging Documents for Mathematics
Bridging Documents for Mathematics 5 th /6 th Class, Primary Junior Cycle, PostPrimary Primary PostPrimary Card # Strand(s): Number, Measure Number (Strand 3) 25 Strand: Shape and Space Geometry and
More informationAlgebra 1 2008. Academic Content Standards Grade Eight and Grade Nine Ohio. Grade Eight. Number, Number Sense and Operations Standard
Academic Content Standards Grade Eight and Grade Nine Ohio Algebra 1 2008 Grade Eight STANDARDS Number, Number Sense and Operations Standard Number and Number Systems 1. Use scientific notation to express
More informationMathematics. Mathematical Practices
Mathematical Practices 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with
More informationPrimary Curriculum 2014
Primary Curriculum 2014 Suggested Key Objectives for Mathematics at Key Stages 1 and 2 Year 1 Maths Key Objectives Taken from the National Curriculum 1 Count to and across 100, forwards and backwards,
More information1A: Understand numbers, ways of representing numbers, relationships among numbers, and number systems.
NCTM STANDARD 1: Numbers and Operations Kindergarten Grade 2 1A: Understand numbers, ways of representing numbers, relationships among numbers, and number systems. Kindergarten Grade One Grade Two 1. Count
More informationTennessee Mathematics Standards 20092010 Implementation. Grade Six Mathematics. Standard 1 Mathematical Processes
Tennessee Mathematics Standards 20092010 Implementation Grade Six Mathematics Standard 1 Mathematical Processes GLE 0606.1.1 Use mathematical language, symbols, and definitions while developing mathematical
More informationWelcome to. About ETS. Official GRE Quantitative Reasoning Practice Questions, Volume 1
Welcome to Official GRE Quantitative Reasoning Practice Questions, Volume 1 The book you are holding offers 150 real GRE practice questions directly from the maker of the GRE revised General Test. This
More informationInteger Operations. Overview. Grade 7 Mathematics, Quarter 1, Unit 1.1. Number of Instructional Days: 15 (1 day = 45 minutes) Essential Questions
Grade 7 Mathematics, Quarter 1, Unit 1.1 Integer Operations Overview Number of Instructional Days: 15 (1 day = 45 minutes) Content to Be Learned Describe situations in which opposites combine to make zero.
More informationSAT Math Facts & Formulas Review Quiz
Test your knowledge of SAT math facts, formulas, and vocabulary with the following quiz. Some questions are more challenging, just like a few of the questions that you ll encounter on the SAT; these questions
More informationDELAWARE MATHEMATICS CONTENT STANDARDS GRADES 910. PAGE(S) WHERE TAUGHT (If submission is not a book, cite appropriate location(s))
Prentice Hall University of Chicago School Mathematics Project: Advanced Algebra 2002 Delaware Mathematics Content Standards (Grades 910) STANDARD #1 Students will develop their ability to SOLVE PROBLEMS
More informationPrentice Hall Connected Mathematics 2, 7th Grade Units 2009
Prentice Hall Connected Mathematics 2, 7th Grade Units 2009 Grade 7 C O R R E L A T E D T O from March 2009 Grade 7 Problem Solving Build new mathematical knowledge through problem solving. Solve problems
More informationMcDougal Littell California:
McDougal Littell California: PreAlgebra Algebra 1 correlated to the California Math Content s Grades 7 8 McDougal Littell California PreAlgebra Components: Pupil Edition (PE), Teacher s Edition (TE),
More informationKEANSBURG SCHOOL DISTRICT KEANSBURG HIGH SCHOOL Mathematics Department. HSPA 10 Curriculum. September 2007
KEANSBURG HIGH SCHOOL Mathematics Department HSPA 10 Curriculum September 2007 Written by: Karen Egan Mathematics Supervisor: Ann Gagliardi 7 days Sample and Display Data (Chapter 1 pp. 447) Surveys and
More informationConnections Across Strands Provides a sampling of connections that can be made across strands, using the theme (fractions) as an organizer
Overview Context Connections Positions fractions in a larger context and shows connections to everyday situations, careers, and tasks Identifies relevant manipulatives, technology, and webbased resources
More informationCURRICULUM FOR THE COMMON CORE SUBJECT OF MATHEMATICS
CURRICULUM FOR THE COMMON CORE SUBJECT OF Dette er ei omsetjing av den fastsette læreplanteksten. Læreplanen er fastsett på Nynorsk Established as a Regulation by the Ministry of Education and Research
More informationDefinition 8.1 Two inequalities are equivalent if they have the same solution set. Add or Subtract the same value on both sides of the inequality.
8 Inequalities Concepts: Equivalent Inequalities Linear and Nonlinear Inequalities Absolute Value Inequalities (Sections 4.6 and 1.1) 8.1 Equivalent Inequalities Definition 8.1 Two inequalities are equivalent
More informationEveryday Mathematics. Grade 4 GradeLevel Goals CCSS EDITION. Content Strand: Number and Numeration. Program Goal Content Thread GradeLevel Goal
Content Strand: Number and Numeration Understand the Meanings, Uses, and Representations of Numbers Understand Equivalent Names for Numbers Understand Common Numerical Relations Place value and notation
More informationWelcome to Math 7 Accelerated Courses (Preparation for Algebra in 8 th grade)
Welcome to Math 7 Accelerated Courses (Preparation for Algebra in 8 th grade) Teacher: School Phone: Email: Kim Schnakenberg 402443 3101 kschnakenberg@esu2.org Course Descriptions: Both Concept and Application
More informationMath 5th grade. Create your own number and explain how to use expanded form to show place value to the ten millions place.
Number Properties and Operations Whole number sense and addition and subtraction are key concepts and skills developed in early childhood. Students build on their number sense and counting sense to develop
More informationQuestions. Strategies August/September Number Theory. What is meant by a number being evenly divisible by another number?
Content Skills Essential August/September Number Theory Identify factors List multiples of whole numbers Classify prime and composite numbers Analyze the rules of divisibility What is meant by a number
More informationChapter 111. Texas Essential Knowledge and Skills for Mathematics. Subchapter A. Elementary
Elementary 111.A. Chapter 111. Texas Essential Knowledge and Skills for Mathematics Subchapter A. Elementary Statutory Authority: The provisions of this Subchapter A issued under the Texas Education Code,
More informationThe program also provides supplemental modules on topics in geometry and probability and statistics.
Algebra 1 Course Overview Students develop algebraic fluency by learning the skills needed to solve equations and perform important manipulations with numbers, variables, equations, and inequalities. Students
More informationThe Australian Curriculum Mathematics
The Australian Curriculum Mathematics Mathematics ACARA The Australian Curriculum Number Algebra Number place value Fractions decimals Real numbers Foundation Year Year 1 Year 2 Year 3 Year 4 Year 5 Year
More informationLESSON 4 Missing Numbers in Multiplication Missing Numbers in Division LESSON 5 Order of Operations, Part 1 LESSON 6 Fractional Parts LESSON 7 Lines,
Saxon Math 7/6 Class Description: Saxon mathematics is based on the principle of developing math skills incrementally and reviewing past skills daily. It also incorporates regular and cumulative assessments.
More informationN Q.3 Choose a level of accuracy appropriate to limitations on measurement when reporting quantities.
Performance Assessment Task Swimming Pool Grade 9 The task challenges a student to demonstrate understanding of the concept of quantities. A student must understand the attributes of trapezoids, how to
More informationFourth Grade Math Standards and "I Can Statements"
Fourth Grade Math Standards and "I Can Statements" Standard  CC.4.OA.1 Interpret a multiplication equation as a comparison, e.g., interpret 35 = 5 x 7 as a statement that 35 is 5 times as many as 7 and
More informationExponents. Exponents tell us how many times to multiply a base number by itself.
Exponents Exponents tell us how many times to multiply a base number by itself. Exponential form: 5 4 exponent base number Expanded form: 5 5 5 5 25 5 5 125 5 625 To use a calculator: put in the base number,
More informationSolving Rational Equations
Lesson M Lesson : Student Outcomes Students solve rational equations, monitoring for the creation of extraneous solutions. Lesson Notes In the preceding lessons, students learned to add, subtract, multiply,
More informationStudents are able to represent and solve problems involving multiplication and division.
Grade 3 Learning Targets and I Can Statements Operations and Algebraic Thinking Students are able to represent and solve problems involving multiplication and division. o I understand the product of multiplication
More informationGrade 6 Mathematics Common Core State Standards
Grade 6 Mathematics Common Core State Standards Standards for Mathematical Practice HOW make sense of problems, persevere in solving them, and check the reasonableness of answers. reason with and flexibly
More informationAnnotated work sample portfolios are provided to support implementation of the Foundation Year 10 Australian Curriculum.
Work sample portfolio summary WORK SAMPLE PORTFOLIO Annotated work sample portfolios are provided to support implementation of the Foundation Year 10 Australian Curriculum. Each portfolio is an example
More information1. Mathematics Content/Alignment with the Standards Correlation to California Algebra Readiness Standards
PROGRAM DESCRIPTION The goal of Prentice Hall Connecting to Algebra is to fully prepare students for success in Algebra 1 by thoroughly covering the Algebra Readiness standards outlined by the California
More informationof surface, 569571, 576577, 578581 of triangle, 548 Associative Property of addition, 12, 331 of multiplication, 18, 433
Absolute Value and arithmetic, 730733 defined, 730 Acute angle, 477 Acute triangle, 497 Addend, 12 Addition associative property of, (see Commutative Property) carrying in, 11, 92 commutative property
More informationnumerical place value additional topics rounding off numbers power of numbers negative numbers addition with materials fundamentals
Math Scope & Sequence fundamentals number sense and numeration of the decimal system Count to 10 by units Associate number to numeral (110) KN 1 KN 1 KN 2 KN 2 Identify odd and even numbers/numerals and
More information