Success in Math with Let s Go Learn
|
|
- Victor Harris
- 7 years ago
- Views:
Transcription
1 Success in Math with Let s Go Learn Algebra is a foundation and language system on which higher order mathematics, science, technology, and engineering courses are built. (A. Evan, 2006) Introduction Success in algebra is a key indicator of success in college. This is both good news and bad news: good news because it gives educators a concrete way to support students, bad news because algebra poses a significant obstacle for many students. In short: o If students want to go to college or enter a STEM career, their chances increase significantly if they pass algebra in middle or high school (Hein et al., 2013). o If they fail algebra and re-take it, chances are slim that they will pass it the second time around (WestEd, 2012). o If they don t master the concepts, system, or language of algebra, they re going to have a difficult time getting into and/or passing other higher math and science classes (Adelman, 2006; Conley, 2007). o If you don t prepare everyone, then essentially you only have the privileged kids who are prepared to take [advanced math]. The disparities have turned access to algebra into a civil rights issue (Garland, 2014). What can you do to ensure that all your students succeed in algebra? Step 1: Start differentiating instruction in elementary school. The first step to success in algebra is to recognize that mastery of middle school and high school objectives depends on mastering math objectives for each grade level from K - Grade 5: Just as students relative success in higher-level mathematics is closely linked to their success in middle-school math, so too does students relative success in middle school depend largely on the strength of academic foundations developed in earlier grades (Finkelstein et al., 2012). We know the content and processes that students have to understand and practice in the elementary years. Content has to include numbers and operations, algebra, geometry, measurement, data analysis, and probability, and processes must include problem solving, reasoning and proof, communication, connections, and representation. But do we recognize that the path to success means accomplishing each segment of the journey? If students miss a chunk of skills or subskills in any content area, or if they miss the opportunity to practice the cognitive and metacognitive processes that guide mathematical thinking,
2 chances are good that higher math will elude them. Why? Because if students who are enrolled in algebra are not prepared and do not pass, their chances of ever passing it are slim. Young students come to school with very different levels of math experience. By the time teachers realize that their students aren t prepared for middle school or high school math, it s almost too late. According to research by Jungjohann, Clarke, and Cary, Long-term trajectories are established as early as kindergarten (Morgan & Farkas, 2009; Jungjohann et al., 2009). To remediate the issues, the authors cite the recommendation of the National Advisory Panel in 2008: a focused, coherent progression of mathematics learning with emphasis on proficiency with key topics (Jungjohann et al., 2009). The key takeaway here is that while we know that algebra is the predictor of success in higher math, college, or career algebra is just the tip of the iceberg. Math success for all students is possible when teachers have accurate, timely data about their pupils strengths and weaknesses in different domains and then use the data to differentiate instruction for each student until mastery is accomplished. Let s Go Learn has created a system that provides the data, the reporting, and the instruction that make personalized learning possible. Its online computer-adaptive assessment ADAM evaluates the individual math skills of students in Kindergarten through Grade 8. Let s Go Learn s underlying assessment system then assigns students lessons that remediate the learning gaps that prevent students from reaching grade level and beyond. ADAM covers the subskills for Numbers and Operations, Measurement, Data Analysis, Geometry, and Algebra that follow. These subskills are the stair steps that students have to master to prepare for algebra. If students master grade-level skills and subskills year to year, their potential for success in algebra increases dramatically. Step 2: For upper elementary and older students with existing gaps, ensure that they have requisite pre-algebra skills BEFORE they are placed in algebra. Many schools place students into algebra because they are in 8 th or 9 th grade or because they have passed a prerequisite course. When students are placed in algebra without first determining if they have the foundation skills, the risk of failure outweighs early placement. According to Finkelstein et al. (2012), When students take algebra 1 (that is, in which grade) is less important than whether students are ready to take it. How can educators assess students current knowledge? The most effective way to determine if students are ready for algebra is to give them a truly granular diagnostic assessment. Let s Go Learn s pre-algebra computer-adaptive diagnostic assessment provides teachers with a valid and reliable measure of Success in Math with Let s Go Learn 2
3 student readiness. Because this assessment is computer-adaptive, students who do not yet have the foundation are not subjected to a series of questions that they don t know how to solve, which can negatively impact their association with math and specifically algebra instruction. WestEd s Center for the Future of Teaching and Learning studied students in 24 school districts. The study found that when students repeated Algebra I, [O]nly 1 in 5 scored at a proficient level on standardized tests (Tucker, 2012). LGL Pre-Algebra evaluates a student s math foundation through an assessment of his or her strengths and weaknesses in integer operations, fraction operations, decimal operations, comparing and converting, estimating and rounding, evaluating exponents, ratios and proportions, simplifying expressions, coordinate graphing, linear functions, simple equations, geometry, interpreting data, and simple probability. LGL Pre-Algebra is composed of three parts. Part I is a pre-screener that presents students with one question from each of the 14 pre-algebra constructs. Based on the results, students may test out of a particular section of Part II. Part II tests each of the 14 pre-algebra constructs in detail. Part III assesses foundational skills; students take this part only if their errors demonstrate a possible deficit in multiplication math facts or reading comprehension. In addition, if performance in early, lower-level constructs indicates a possible deficiency, then LGL Pre-Algebra ceases testing and checks either math facts or English language proficiency to further identify the student s strengths and weaknesses. If students demonstrate a lack of mastery, then Let s Go Learn s assessment system places them in the appropriate math or pre-algebra lessons to fill the learning gaps. Finkelstein et al. (2012) writes that school systems are struggling to successfully teach, or reteach, mathematics to students who are not already performing well in math by the time they reach middle school." With Let s Go Learn s pre-algebra diagnostic assessment and online lessons, teachers can ensure that students are adequately prepared for algebra. According to Finkelstein (2012), If students have the necessary math foundation when they first take algebra 1, whenever that is, they have a much better chance of becoming proficient in algebra 1 content. In turn, algebra 1 proficiency serves as the necessary foundation for being successful in the next higher level of math after algebra 1. Step 3: Place students in algebra when they re ready. Algebra is considered a gateway course for the sequence of mathematics and science courses that prepares students for success in later schooling (Matthews and Farmer, 2008) (Walston & Carlivati McCarroll, 2010). Success In Math with Let s Go Learn 3
4 With so much research indicating that few repeaters achieve proficiency on their second attempt, educators have to strive to ensure that students master algebra the first time around (Finkelstein et al, 2012). To accomplish this, schools would do well to assess student algebra skills in the months prior to student enrollment in algebra. Let s Go Learn s computer-adaptive diagnostic algebra assessment evaluates 11 different constructs of Algebra I. These constructs include: evaluating advanced exponents, solving linear equations, graphing and analyzing linear equations, relations and functions, solving and graphing inequalities, solving and graphing systems, polynomial equations, factoring polynomials, radical equations and expressions, quadratic equations, and rational expressions and equations. The assessment is divided into two parts. Part I, the pre-screener, presents students with two questions representing each of the 11 algebra constructs determined to encompass the essential knowledge of Algebra I. Based on prescreening results, students may test out of constructs on which they have demonstrated mastery. Part II contains the detailed test items that make up each of the 11 algebra constructs. Full construct testing is based on the student s performance. The assessment s adaptive logic adjusts the number of questions given to a student in real-time, based on his or her error rate. This reduces student test frustration and increases the reliability of the overall assessment. The LGL assessment system places students who show learning gaps in the 11 algebra constructs into online lessons designed to provide direct instruction and practice in the areas of weakness. Using Let s Go Learn s online math diagnostic assessments and online math instruction, teachers can ensure that students stay on grade level year after year as they move toward the requirements of higher-level math. The ultimate goal? Success in college and career. Success in Math with Let s Go Learn 4
5 LGL Process Flow for Successful Math Assessment and Placement Finkelstein et al. (2012) suggest that to support student success, educators should improve course-placement criteria used to assign middle- and highschool students to the appropriate math courses based on their current mathematical knowledge. Let s Go Learn has created a Process Flow for Success in Math. Success In Math with Let s Go Learn 5
6 Success in Math with Let s Go Learn 6
7 Success In Math with Let s Go Learn 7
8 References Cavanagh, S. (2008). Catching up on algebra. EdWeek. Retrieved from Center for Public Education. (2012). High school rigor and good advice: Setting up students for success. Retrieved from Conley, D. T. (2007). Redefining college readiness. Eugene, OR: Education Policy Improvement Center. Evans et al. (2006). The gateway to student success in mathematics and science. American Institutes for Research. Retrieved from Finkelstein et al. (2012). College bound in middle school & high school? How math course sequences matter. The Center for the Future of Teaching & Learning at WestEd. Retrieved from Garland, S. (2013). The math standards: Content and controversy. The Hechinger Report. Retrieved from Hein, V., et al. (2013, November). Predictors of post-secondary success. College & Career Readiness & Success Center at American Institutes for Research. Jungjohann, K., et al. (2009). Early learning in mathematics: A formula for success. Pacific Institutes for Research, Institute of Education Sciences. Musen, L. (2010). Pre-algebra and algebra: Enrollment and achievement. Annenberg School Institute for School Reform. Noguchi, S. (2013, February 2). California abandons algebra requirement for eighth-graders. San Jose Mercury News. Retrieved from Soave, R. (2013, February 8). California no longer requiring eighth graders to take algebra. Daily Caller. Retrieved from Success in Math with Let s Go Learn 8
9 Tucker, J. (2012, November 30). Students failing algebra rarely recover. SF Gate. Retrieved from algebra-rarely-recover php Walston, J. & Carlivati McCarroll, J. (2010, October). Eighth-grade algebra: Findings from the eighth grade round of the Early Childhood Longitude Study, Kindergarten Class of (ECLS-K). Statistics in Brief. National Center for Statistics, IES. Success In Math with Let s Go Learn 9
10 Appendix: ADAM Scope & Sequence Numbers and Operations o Rounding (10s, 100s, 1,000s), comma & place holder, counting (by 1s, 2s, 3s, 5, 10s, 100s, and 1000s), text and numerals, numerals (2-digit), cardinal and ordinal numbers, counting backwards o Place value: decimals (thousand, ten-thousand, hundred-thousand, millions), expanded form o Comparing and ordering: decimals, money, symbols (2-digit and 3-digit), numbers o Addition of whole numbers: multiple digits, regrouping, non-regrouping, 2- digit plus 1-digit, to 10, equivalent forms, modeling with objects o Subtraction of whole numbers: regrouping, non-regrouping, subtracting from 10 o Multiplication of whole numbers: commutative, associative, distributive, 2- digit and 3-digit by 2-digit, 3-digit by 1-digit, 2-digit by 1-digit, powers of ten, factors 2 to 10, factors 0 and 1, grouping, and repeated addition o Division of whole numbers: 4-digit, whole numbers, facts, 1-digit divisors and remainders, division as inverse of multiplication o Fractions: adding and subtracting with unlike denominators, converting fractions, least common multiple & greatest common factor, multiplying and dividing, solving problems, multiplying patterns, adding with like denominators, adding, proper/improper/mixed, multiplying by whole number, comparing and ordering, as decimals and place value tenth and hundredth, equivalent with lowest terms, as parts of sets, partitioning objects into parts o Number theory: divisibility rules, common greatest factors, prime factors, prime/composite numbers, multiples, factors o Decimal operations: terminating and repeating decimals, division, multiplication and money notation, adding and subtracting o Percentages: discounts and markups, increases and decreases, calculator percentages, estimating and calculating, proportions, ratios, percents and decimals, percents and fractions o Ratios and proportions: using proportions to solve problems, interpreting and using ratios o Positive and negative integers: multiplying and dividing negative numbers, adding and subtracting negative numbers, absolute value, solving problems with integer operations, ordering rational numbers, positive and negative numbers o Exponents: rational numbers and exponent numbers, square roots, negative whole number exponents, irrational numbers, rational integer operations and powers, scientific notation Measurement Success in Math with Let s Go Learn 10
11 o Money: values, recognition o Time: calendar in weeks, elapsed time, calendar in months, reading a clock o Temperature: reading, concept o Length: converting units, comparing metric lengths, converting units of length, length, customary and metric units, concepts, number line, measuring by object, comparative vocabulary o Weight: converting and comparing units and concepts of weight, units of measure, customary o Capacity and volume: comparing metric capacity/volume, units of capacity/volume, units of measure, metric and customary capacity o Rate: solving rate problems, scale, comparing rates, understanding rate Data Analysis o Patterns and solving: linear patterns, extending linear patterns, extending patterns, sorting by common attributes, simple patterns o Data representation: problem solving, features of data sets, multiple representations of the same data, simple data representation o Simple probability: probability of multiple events, representing probabilities, estimating future events, simple probability, likelihood o Outcomes: representing possible outcomes, representing outcomes/results, recording outcomes o Displaying data: scatterplots, data representation, comparing data (fractions and percents), displaying date, interpreting graphs o Measures of central tendency: data set quartiles, use of measures of central tendency, outliers, changing central tendency, computing measures of central tendency, mean/median/mode o Ordered pairs: writing ordered pairs, identifying ordered pairs o Samples: independent and dependent events, sampling errors, selecting samples Geometry o Location and direction: vocabulary o 2D shapes: solving problems of congruence, translations and reflections, elements of geometric figures, symmetry, identifying congruent figures, polygons, forming polygons, describing shapes, attributes, naming by name and shape, comparing o 3D shapes: geometric elements, patterns, qualities, composing, faces, shapes o Triangles: Pythagorean theorem, solving for unknown angles, definitions, right angles, attributes o Quadrilaterals: definitions, attributes o Area and perimeter: complex figures, perimeter/area/volume, area of triangles/parallelograms, 2D and 3D units of measure, word problems, solving for area vs. perimeter, area with square units, dividing rectangles into squares Success In Math with Let s Go Learn 11
12 o Lines: parallel and perpendicular, vertical line segment length, horizontal line segment length, plotting points of linear equation o Circles: calculating using Pi, Pi, qualities o Angles: types, sum of angles, angles and angle measurement o Volume and surface area: surface area and volume of complex solids, volume of triangular prisms and cylinders, volume, surface area o Geometric relationships: changes of scale, expressing geometric relationships, using variables in geometric equations Algebra o Relationships: equivalent multiplication, equivalent addition, rules of linear patterns, commutative and associative properties of multiplication, symbolic unit conversion, relationships of quantities, sorting by unlike objects o Expressions and problem solving: multiplying and dividing monomials, positive whole number powers, simplifying expressions, using order of operations to evaluate expressions, writing expressions, solving problems using order of operations, applying order of operations, equivalent expressions, writing algebraic expressions, using distributive property, order of operations (with parentheses), selecting operations, problem solving using data (addition and subtraction), number sentences and problems, symbols o Equations: solving multi-step rate problems, solving two-step linear equations, algebraic terminology, solving 1-step inequalities, solving 1- step linear equations, solving linear functions, solving by substitution, problem solving and data, simple equations, formulas, concepts of variables, functional relationships, problem solving with equations/inequalities o Graphing algebraic relationships: plotting set ratios, slope, graphing functions, graphic representations, coordinate plane Success in Math with Let s Go Learn 12
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 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 non-course based remediation in developmental mathematics. This structure will
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 informationAlgebra I Credit Recovery
Algebra I Credit Recovery COURSE DESCRIPTION: The purpose of this course is to allow the student to gain mastery in working with and evaluating mathematical expressions, equations, graphs, and other topics,
More informationMATH 095, College Prep Mathematics: Unit Coverage Pre-algebra topics (arithmetic skills) offered through BSE (Basic Skills Education)
MATH 095, College Prep Mathematics: Unit Coverage Pre-algebra topics (arithmetic skills) offered through BSE (Basic Skills Education) Accurately add, subtract, multiply, and divide whole numbers, integers,
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 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 402-443- 3101 kschnakenberg@esu2.org Course Descriptions: Both Concept and Application
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 informationPre-Algebra 2008. Academic Content Standards Grade Eight Ohio. Number, Number Sense and Operations Standard. Number and Number Systems
Academic Content Standards Grade Eight Ohio Pre-Algebra 2008 STANDARDS Number, Number Sense and Operations Standard Number and Number Systems 1. Use scientific notation to express large numbers and small
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 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, 569-571, 576-577, 578-581 of triangle, 548 Associative Property of addition, 12, 331 of multiplication, 18, 433
Absolute Value and arithmetic, 730-733 defined, 730 Acute angle, 477 Acute triangle, 497 Addend, 12 Addition associative property of, (see Commutative Property) carrying in, 11, 92 commutative property
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 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 informationMathematics Scope and Sequence, K-8
Standard 1: Number and Operation Goal 1.1: Understands and uses numbers (number sense) Mathematics Scope and Sequence, K-8 Grade Counting Read, Write, Order, Compare Place Value Money Number Theory K Count
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 (1-10) KN 1 KN 1 KN 2 KN 2 Identify odd and even numbers/numerals and
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 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 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 informationMcDougal Littell California:
McDougal Littell California: Pre-Algebra Algebra 1 correlated to the California Math Content s Grades 7 8 McDougal Littell California Pre-Algebra Components: Pupil Edition (PE), Teacher s Edition (TE),
More informationCommon Core Unit Summary Grades 6 to 8
Common Core Unit Summary Grades 6 to 8 Grade 8: Unit 1: Congruence and Similarity- 8G1-8G5 rotations reflections and translations,( RRT=congruence) understand congruence of 2 d figures after RRT Dilations
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 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 three-dimensional shapes by demonstrating an understanding of:
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 informationAssessment Anchors and Eligible Content
M07.A-N The Number System M07.A-N.1 M07.A-N.1.1 DESCRIPTOR Assessment Anchors and Eligible Content Aligned to the Grade 7 Pennsylvania Core Standards Reporting Category Apply and extend previous understandings
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 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 informationISAT Mathematics Performance Definitions Grade 4
ISAT Mathematics Performance Definitions Grade 4 EXCEEDS STANDARDS Fourth-grade students whose measured performance exceeds standards are able to identify, read, write, represent, and model whole numbers
More informationMath 1. Month Essential Questions Concepts/Skills/Standards Content Assessment Areas of Interaction
Binghamton High School Rev.9/21/05 Math 1 September What is the unknown? Model relationships by using Fundamental skills of 2005 variables as a shorthand way Algebra Why do we use variables? What is a
More 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 informationUnit 1: Integers and Fractions
Unit 1: Integers and Fractions No Calculators!!! Order Pages (All in CC7 Vol. 1) 3-1 Integers & Absolute Value 191-194, 203-206, 195-198, 207-210 3-2 Add Integers 3-3 Subtract Integers 215-222 3-4 Multiply
More informationGrade 6 Mathematics Performance Level Descriptors
Limited Grade 6 Mathematics Performance Level Descriptors A student performing at the Limited Level demonstrates a minimal command of Ohio s Learning Standards for Grade 6 Mathematics. A student at this
More informationSuch As Statements, Kindergarten Grade 8
Such As Statements, Kindergarten Grade 8 This document contains the such as statements that were included in the review committees final recommendations for revisions to the mathematics Texas Essential
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 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 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. 4-47) Surveys and
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 pre-algebra. Answers that are not memorized will hinder your ability to succeed in algebra 1. Number Basics
More informationEveryday Mathematics CCSS EDITION CCSS EDITION. Content Strand: Number and Numeration
CCSS EDITION Overview of -6 Grade-Level Goals CCSS EDITION Content Strand: Number and Numeration Program Goal: Understand the Meanings, Uses, and Representations of Numbers Content Thread: Rote Counting
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 informationPrentice Hall Mathematics Courses 1-3 Common Core Edition 2013
A Correlation of Prentice Hall Mathematics Courses 1-3 Common Core Edition 2013 to the Topics & Lessons of Pearson A Correlation of Courses 1, 2 and 3, Common Core Introduction This document demonstrates
More informationEveryday Mathematics GOALS
Copyright Wright Group/McGraw-Hill GOALS The following tables list the Grade-Level Goals organized by Content Strand and Program Goal. Content Strand: NUMBER AND NUMERATION Program Goal: Understand the
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 informationTennessee Mathematics Standards 2009-2010 Implementation. Grade Six Mathematics. Standard 1 Mathematical Processes
Tennessee Mathematics Standards 2009-2010 Implementation Grade Six Mathematics Standard 1 Mathematical Processes GLE 0606.1.1 Use mathematical language, symbols, and definitions while developing mathematical
More informationAlgebra 1 Course Title
Algebra 1 Course Title Course- wide 1. What patterns and methods are being used? Course- wide 1. Students will be adept at solving and graphing linear and quadratic equations 2. Students will be adept
More 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 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 informationEVERY DAY COUNTS CALENDAR MATH 2005 correlated to
EVERY DAY COUNTS CALENDAR MATH 2005 correlated to Illinois Mathematics Assessment Framework Grades 3-5 E D U C A T I O N G R O U P A Houghton Mifflin Company YOUR ILLINOIS GREAT SOURCE REPRESENTATIVES:
More informationFlorida Math for College Readiness
Core Florida Math for College Readiness Florida Math for College Readiness provides a fourth-year math curriculum focused on developing the mastery of skills identified as critical to postsecondary readiness
More informationSuccessful completion of Math 7 or Algebra Readiness along with teacher recommendation.
MODESTO CITY SCHOOLS COURSE OUTLINE COURSE TITLE:... Basic Algebra COURSE NUMBER:... RECOMMENDED GRADE LEVEL:... 8-11 ABILITY LEVEL:... Basic DURATION:... 1 year CREDIT:... 5.0 per semester MEETS GRADUATION
More informationGlencoe. correlated to SOUTH CAROLINA MATH CURRICULUM STANDARDS GRADE 6 3-3, 5-8 8-4, 8-7 1-6, 4-9
Glencoe correlated to SOUTH CAROLINA MATH CURRICULUM STANDARDS GRADE 6 STANDARDS 6-8 Number and Operations (NO) Standard I. Understand numbers, ways of representing numbers, relationships among numbers,
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 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 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 real-world and mathematical
More informationStandards and progression point examples
Mathematics Progressing towards Foundation Progression Point 0.5 At 0.5, a student progressing towards the standard at Foundation may, for example: connect number names and numerals with sets of up to
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 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 1-5 December
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 informationMinnesota Academic Standards
A Correlation of to the Minnesota Academic Standards Grades K-6 G/M-204 Introduction This document demonstrates the high degree of success students will achieve when using Scott Foresman Addison Wesley
More informationMATH. ALGEBRA I HONORS 9 th Grade 12003200 ALGEBRA I HONORS
* Students who scored a Level 3 or above on the Florida Assessment Test Math Florida Standards (FSA-MAFS) are strongly encouraged to make Advanced Placement and/or dual enrollment courses their first choices
More informationPCHS ALGEBRA PLACEMENT TEST
MATHEMATICS Students must pass all math courses with a C or better to advance to the next math level. Only classes passed with a C or better will count towards meeting college entrance requirements. If
More informationThe Most Widely Used. Mathematics Textbook Series in Japan is Now in English! Introducing Tokyo Shoseki s. and
The Most Widely Used Mathematics Textbook Series in Japan is Now in English! Introducing Tokyo Shoseki s Mathematics International (Elementary School, s 1 to 6) and Mathematics International (Lower Secondary
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 informationMathematics Georgia Performance Standards
Mathematics Georgia Performance Standards K-12 Mathematics Introduction The Georgia Mathematics Curriculum focuses on actively engaging the students in the development of mathematical understanding by
More informationCourse Outlines. 1. Name of the Course: Algebra I (Standard, College Prep, Honors) Course Description: ALGEBRA I STANDARD (1 Credit)
Course Outlines 1. Name of the Course: Algebra I (Standard, College Prep, Honors) Course Description: ALGEBRA I STANDARD (1 Credit) This course will cover Algebra I concepts such as algebra as a language,
More informationIndiana State Core Curriculum Standards updated 2009 Algebra I
Indiana State Core Curriculum Standards updated 2009 Algebra I Strand Description Boardworks High School Algebra presentations Operations With Real Numbers Linear Equations and A1.1 Students simplify and
More 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 informationPHILOSOPHY OF THE MATHEMATICS DEPARTMENT
PHILOSOPHY OF THE MATHEMATICS DEPARTMENT The Lemont High School Mathematics Department believes that students should develop the following characteristics: Understanding of concepts and procedures Building
More informationExpression. Variable Equation Polynomial Monomial Add. Area. Volume Surface Space Length Width. Probability. Chance Random Likely Possibility Odds
Isosceles Triangle Congruent Leg Side Expression Equation Polynomial Monomial Radical Square Root Check Times Itself Function Relation One Domain Range Area Volume Surface Space Length Width Quantitative
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 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 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 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 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 informationPerformance Level Descriptors Grade 6 Mathematics
Performance Level Descriptors Grade 6 Mathematics Multiplying and Dividing with Fractions 6.NS.1-2 Grade 6 Math : Sub-Claim A The student solves problems involving the Major Content for grade/course with
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 informationManitoba Curriculum. Alignment with Mathletics. Supported by independent evidence-based research and practice. Powerful reporting.
Supported by independent evidence-based research practice. Follows provincial curricula Powerful reporting Student centred Content Kindergarten Grade 1 Grade 2 02 04 08 Grade 10 Applied & Pre-Calculus
More informationVocabulary Words and Definitions for Algebra
Name: Period: Vocabulary Words and s for Algebra Absolute Value Additive Inverse Algebraic Expression Ascending Order Associative Property Axis of Symmetry Base Binomial Coefficient Combine Like Terms
More information10 th Grade Math Special Education Course of Study
10 th Grade Math Special Education Course of Study Findlay City Schools 2006 Table of Contents 1. Findlay City Schools Mission Statement 2. 10 th Grade Math Curriculum Map 3. 10 th Grade Math Indicators
More informationLAKE ELSINORE UNIFIED SCHOOL DISTRICT
LAKE ELSINORE UNIFIED SCHOOL DISTRICT Title: PLATO Algebra 1-Semester 2 Grade Level: 10-12 Department: Mathematics Credit: 5 Prerequisite: Letter grade of F and/or N/C in Algebra 1, Semester 2 Course Description:
More informationGeorgia Standards of Excellence Curriculum Map. Mathematics. GSE 8 th Grade
Georgia Standards of Excellence Curriculum Map Mathematics GSE 8 th Grade These materials are for nonprofit educational purposes only. Any other use may constitute copyright infringement. GSE Eighth Grade
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 informationTopic: Unit 1-Variables, Expressions, and Integers
Grade 7th Topic: Unit 1-Variables, Expressions, and Integers Essential Questions/Enduring CC.7.NS.1 Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and
More informationAlgebra I Vocabulary Cards
Algebra I Vocabulary Cards Table of Contents Expressions and Operations Natural Numbers Whole Numbers Integers Rational Numbers Irrational Numbers Real Numbers Absolute Value Order of Operations Expression
More informationWhat are the place values to the left of the decimal point and their associated powers of ten?
The verbal answers to all of the following questions should be memorized before completion of algebra. Answers that are not memorized will hinder your ability to succeed in geometry and algebra. (Everything
More informationPrentice Hall Mathematics, Algebra 1 2009
Prentice Hall Mathematics, Algebra 1 2009 Grades 9-12 C O R R E L A T E D T O Grades 9-12 Prentice Hall Mathematics, Algebra 1 Program Organization Prentice Hall Mathematics supports student comprehension
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 informationwith functions, expressions and equations which follow in units 3 and 4.
Grade 8 Overview View unit yearlong overview here The unit design was created in line with the areas of focus for grade 8 Mathematics as identified by the Common Core State Standards and the PARCC Model
More informationCORRELATED TO THE SOUTH CAROLINA COLLEGE AND CAREER-READY FOUNDATIONS IN ALGEBRA
We Can Early Learning Curriculum PreK Grades 8 12 INSIDE ALGEBRA, GRADES 8 12 CORRELATED TO THE SOUTH CAROLINA COLLEGE AND CAREER-READY FOUNDATIONS IN ALGEBRA April 2016 www.voyagersopris.com Mathematical
More informationAlgebra and Geometry Review (61 topics, no due date)
Course Name: Math 112 Credit Exam LA Tech University Course Code: ALEKS Course: Trigonometry Instructor: Course Dates: Course Content: 159 topics Algebra and Geometry Review (61 topics, no due date) Properties
More 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 informationAlgebra 1. Curriculum Map
Algebra 1 Curriculum Map Table of Contents Unit 1: Expressions and Unit 2: Linear Unit 3: Representing Linear Unit 4: Linear Inequalities Unit 5: Systems of Linear Unit 6: Polynomials Unit 7: Factoring
More informationAlgebra I. In this technological age, mathematics is more important than ever. When students
In this technological age, mathematics is more important than ever. When students leave school, they are more and more likely to use mathematics in their work and everyday lives operating computer equipment,
More informationMATHEMATICS. Standard Course of Study and Grade Level Competencies
MATHEMATICS Standard Course of Study and Grade Level Competencies K-12 Public Schools of North Carolina State Board of Education Department of Public Instruction TABLE OF CONTENTS ACKNOWLEDGMENTS...1
More informationCRLS Mathematics Department Algebra I Curriculum Map/Pacing Guide
Curriculum Map/Pacing Guide page 1 of 14 Quarter I start (CP & HN) 170 96 Unit 1: Number Sense and Operations 24 11 Totals Always Include 2 blocks for Review & Test Operating with Real Numbers: How are
More 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 informationAlgebra 1 Course Information
Course Information Course Description: Students will study patterns, relations, and functions, and focus on the use of mathematical models to understand and analyze quantitative relationships. Through
More 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 informationEveryday Mathematics. Grade 4 Grade-Level Goals CCSS EDITION. Content Strand: Number and Numeration. Program Goal Content Thread Grade-Level 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 informationMACMILLAN/McGRAW-HILL. MATH CONNECTS and IMPACT MATHEMATICS WASHINGTON STATE MATHEMATICS STANDARDS. ESSENTIAL ACADEMIC LEARNING REQUIREMENTS (EALRs)
MACMILLAN/McGRAW-HILL MATH CONNECTS and IMPACT MATHEMATICS TO WASHINGTON STATE MATHEMATICS STANDARDS ESSENTIAL ACADEMIC LEARNING REQUIREMENTS (EALRs) And GRADE LEVEL EXPECTATIONS (GLEs) / Edition, Copyright
More information