DESTINATION MATH

1. DESTINATION MATH K-12 SOFTWARE PROGRAM Reviewed by Peggy Cunningham

2. Destination Math • K-12 supplemental math software program • Engaging animated tutorials support visual and auditory learning • Interactive content • All concepts taught within the context of real-world examples and situations. • Content assessments can be assigned by skill or standards • Assessment‐prescriptive lessons‐assessment model • Aligned to state and national standards • Riverdeep product

3. FEATURES • English/Spanish • Seven Math Courses • On-screen manipulatives • Practice questions interspersed throughout lessons • Engaging animation • Audio Support • Off-line support materials • Learning Management System (diagnose, prescribe, and assess)

4. Multiple Methods of USAGE • Computer Lab • Whole Class Instruction with LCD projector/smartboards • Small group instruction • Single computer station capability • Home connection

5. ALIGNMENT • Supports National Council of Teachers of Mathematics (NCTM) standards • Aligned to Kentucky’s Core Content for Instruction • Aligns to your curriculum

6. ALIGNMENT Mastering Skills & Concepts: Course I Module: Addition and Subtraction Unit: Subtraction Session: Differences within 10 Standards MA-EP-1.3.1-Students will analyze real-world situations to identify the appropriate mathematical operations, and will apply operations to solve real-world problems with the following constraints: -Add and subtract whole numbers with three digits or less; -Multiply whole numbers of 10 or less; -Add and subtract fractions with like denominators less than or equal to four; and -Add and subtract decimals related to money. DOK - 2 Mastering Skills & Concepts: Course II Module: Operations with Numbers Unit: Addition and Subtraction Session: Sums Less than 100

7. MENU FOR COURSE IV, GRADES 6-8

8. SETUP OF SOFTWARE 1. THE LANGUAGE OF ALGEBRA    1.1 Variables, Expressions, and Equations Translating words into expressions Applying properties of real numbers Evaluating and simplifying expressions    1.2 Linear Equations in One Variable Applying inverse operations Transforming equations using multiple operations Solving absolute value equations 2. LINEAR FUNCTIONS AND EQUATIONS    2.1 The Rectangular Coordinate Plane Graphing ordered pairs Defining slope Finding x- and y-intercepts     2.2 Introduction to Functions Exploring the slope-intercept equation of a line Exploring the point-slope equation of a line Relations and functions 3. SYSTEMS OF LINEAR EQUATIONS    3.1 Graphic Solutions of Linear Systems Finding the point of intersection Graphing parallel and perpendicular lines    3.2 Algebraic Solutions of Linear Systems Using substitution to eliminate a variable Using addition or subtraction to eliminate a variable 4. LINEAR INEQUALITIES    4.1 Inequalities in One Variable Applying inverse operations Graphing solutions on a number line Solving absolute value inequalities    4.2 Inequalities in Two Variables Graphing solutions on a rectangular coordinate plane Solving systems by graphing Modules Units Tutorials Screens (Lessons) Workout (Questions)

9. LESSONS (Tutorials)

11. Engage • Lessons start by • asking a question, • defining a problem, • showing a surprising event, • acting out a problematic solution

15. Instructional Process • PACE • Identify the Problem • Analyze the Information • Compute • Evaluate the answer

17. TOOLS • Virtual manipulatives • Exploratory tools • Glossary of mathematical terms • Scientific Calculator

18. Learning with Models: Primary • Explains why we use models • Uses a model to explain the algorithm • Examples: • Blocks and chips are used throughout to help explain place value, counting, addition, subtraction, multiplication and division • Arrays and rectangles and are used to explain multiplication

19. Learning with Models: Adolescent • Fraction Bars and Number Lines • Synchronized narratives and dynamic graphical animations • Example: • Mastering Algebra I an animated diagram is used to explain the Pythagorean Theorem

20. K-1ELEMENTARY MATH I • Number Sense • Addition & Subtraction • Geometry & Measurement • Algebraic Thinking

21. Destination Math Grades K-1 • The lessons and activities in this course include the following topics: • Counting from 1 to 100 • Addition and subtraction • Identifying shapes • Patterns • Graphing data • Using ordinal numbers • Comparing and ordering • Clock and calendar time • Money • Length and weight

22. DESTINATION MATH GRADES 2-3 • Number Sense • Operations and Numbers • Geometry & Measurement • Algebraic Expressions & Functions

23. Course II Destination Math Grades 2-3 • The skills and concepts explored in this course are: • Counting in 100s up to 1,000 • Counting in 1,000s up to 10,000 • Fractions as numbers • Addition and subtraction • Multiplication and division • Patterns • Place value • Comparing and ordering • Rounding numbers • Algebraic thinking • Plane and solid figures • Congruence and symmetry • Measuring time, money, and temperature

24. GRADES 4-6INTERMEDIATE MATHEMATICS • Numbers & Number Sense • Operations with Numbers • Fractions • Decimals • Geometry • Data Analysis

25. Destination Math Grades 4-6 Numbers and Number Sense: large and small numbers, numbers as factors Operations with Numbers: addition and subtraction of whole numbers, integers, multiplication and division of whole numbers Fractions: proper and improper fractions, addition and subtraction, multiplication and division of fractions Decimals: introduction to decimals, addition and subtraction, multiplication and division of decimals Geometry: measurement, coordinate geometry, and algebra Data Analysis and Probability: modeling and displaying events

26. ADVANCED MATHEMATICS GRADES 6-8 • Fractions • Decimals • Percents • Integers & Order of Operations

27. PRE-ALGEBRA GRADES 6-8 • Essentials of Algebra • Fundamentals of Geometry • Radicals & Exponents • Ratio & Proportion • Fundamentals of Statistics • Fundamentals of Probability

28. Destination Math Grades 6-8 Advanced Mathematics IV In this middle school program, students focus on arithmetic, numbers, and operations.Students investigate properties of fractions, decimals, percents, and integers, and explore the rules that govern their operations. The following topics are included: • Fractions: essentials of fractions, equivalent of fractions, multiplying, dividing, adding, and subtracting fractions • Decimals: essentials of decimals, adding and subtracting decimals, multiplying and dividing decimals • Percents: essentials of percents, finding percents of quantities, increasing and decreasing percents • Integers and Order of Operations: adding and subtracting signed numbers, multiplying and dividing signed numbers, order of operations Pre-Algebra V A comprehensive approach to teaching pre-algebra. In preparation for high school mathematics, students explore ratios, proportions, and irrational numbers. They also begin a study of the fundamental skills and concepts of algebra, statistics, geometry, and probability. Unit topics cover the following content strands: • Essentials of Algebra: algebra fundamentals, evaluating algebraic expression, simple equations, variable on both sides of the equation, solving literal equations • Fundamentals of Geometry: geometry fundamentals, triangles, volume and surface areas • Radicals and Exponents: introduction of radicals and Pythagorean Theorem, scientific notation • Ratio and Proportion: ratio, proportion, direct and inverse variation, similar polygons • Statistics: interpreting and constructing graphs, mean median and mode, frequency distribution, and histograms • Probability: simple probability, probability of combined events

29. MASTERING ALGEBRA 1 • The Language of Algebra • Linear Functions & Equations • Systems of Linear Equations • Linear Inequalities

30. MASTERING ALGEBRA 2 • The Real Number System • Powers and Polynomials • Quadratic Functions & Equations • Algebraic Expressions & Functions • Describing Data

31. ALGEBRA UNITS AND TOPICS COURSE I The Language of Algebra• Variables, expressions, and equations• Linear equations in one variable Linear Functions and Equations• The rectangular coordinate plane• Introduction to functions Systems of Linear Equations• Graphing solutions of linear systems• Algebraic solutions of linear systems Linear Inequalities• Inequalities in one variable• Inequalities in two variables COURSE II The Real Number System • Rational and irrational numbers Powers and Polynomials • Polynomial arithmetic • Factoring polynomials Quadratic Functions and Equations • Graphing quadratic functions, equations • Solving quadratic equations using algebra Algebraic Expressions and Functions • Radical equations and functions • Rational expressions, equations, and functions Describing Data • Graphical displays

32. Destination Math – Student Activities • Each lesson includes a set of activities that provide additional instruction, practice, and games to ensure that students develop mathematical reasoning, academic vocabulary mastery, as well as the ability to solve multi-step problems with confidence • Available as black line masters on the web, so that teachers can print out just those lessons each individual student needs • A student logbook for students to take notes as they progress • “Your turn” worksheets that teachers can print out for additional practice

33. Assessment • Comprehensive Assessment • Includes a pre-course diagnostic test, daily monitoring opportunities, and the ability to create custom tests to measure ongoing proficiency • Allows teachers to use pre-created lesson based assessments or create their own assessments based on specific Math Standards • Identifies gaps in skills and concepts, and prescribes assignments and activities to monitor the learning path of each student

34. Management & Reporting

35. Management System Reports STUDENT REPORTS PURPOSE: To Show… details of a student’s completion of all assigned activities details of a student’s completion of a single instructional activity details of a student’s performance on all assigned tests a student’s responses on a single test details of a student’s performance on a single test with respect to the learning objectives addressed by that test details of a student’s performance on a single test with respect to the state standards/benchmarks addressed by that test • Activities Summary • Activity Progress • Tests Summary • Test Response • Mastery of Learning Objectives • Mastery of Benchmarks

37. Management System Reports CLASS REPORTS PURPOSE: To show the… status of completion on all activities for an entire class completion status of a single activity for an entire class summarized results of all tests for an entire class performance of each student in a class on a particular test average performance of a class with respect to learning objectives on a particular test details of performance of a class with respect to the state standards/benchmarks on a particular test • Class Activities Summary • Class List Activity Progress • Class Tests Summary • Class List Test Score • Class Mastery of Learning Objectives • Class Mastery of Benchmarks

39. Management System Reports REPORT PURPOSE: To show the… details of performance of all schools with respect to the state standards/benchmarks on a particular test distribution of students’ scores in all schools of all tests in a particular subject number of activities created and assigned, and the average time on task, for all schools activity completion status of a student who had previously attended a different school performance on tests of a student who had previously attended a different school • Grade Level Achievement • District Regional Achievement • District Activities Usage • Student Historical Activities • Student Historical Tests

41. PROFESSIONAL DEVELOPMENT • Implementation Planning • Administrative Workshop • Initial Implementation Training • Onsite Support • Curriculum Integrations/Lesson Plan Mapping $1,700/day, number of days customized

42. What Works Clearing House:Reviewing Research, Report Pending RESEARCH

43. WHITE PAPER Multiple validation studies of Destination Math can be found in the supplemental documentation of the paper, Destination Math: White Paper and Research Also the successes of Destination Math in helping students raise their levels of achievement are documented in Case Studies found in the supplemental documentation. ∙ San Antonio Districts Collaborative—Dr. Sandra Bloom, Director, San Antonio Urban Systemic Program ∙ Shadowlawn Elementary School, Collier County, FL, Tim Ferguson, Principal ∙ Palm Beach County, FL—Dr. Lisa Troute, ESOL Curriculum Specialist In each of these cases, the quality of the instructional materials and focused professional development for the teachers implementing Houghton Mifflin Harcourt Learning Technology intervention software were critical in creating success for the teachers and their students.

44. RMC RESEARCH CORPORATION NATIONAL SURVEY RESULTS September 2000 • Over 90% of respondents rated their satisfaction with Destination Math as very satisfied or somewhat satisfied in these areas: • Usefulness of Testing Tool • Technical Support • Difficulty of Levels • Clarity of Instructional Material • Age-Appropriateness • Ease of Use • Content of the Lessons • Level of Student Involvement • Approximately 85% of respondents rated their satisfaction with Destination Math as very satisfied or somewhat satisfied in Technical Qualities

45. ENGAGING STUDENTS ’ CRITICAL- THINKING SKILLS “While many traditional text-book driven math lessons still engage students’ thinking at the lower levels of Bloom’s taxonomy, research has shown that students remember more when they have learned to think about mathematical concepts at the higher levels of the taxonomy. Researchers, educators, and policy makers have consistently argued that higher-order thinking skills are essential and must be taught in schools. This research has shown that Destination Math scaffolds the transition from LOTS to HOTS for students by providing opportunities for recall and rehearsal of math concepts in tutorials, and opportunities to apply and extend concepts learned in test questions, practice problems, and workouts. This research supports the conclusion that developing students’ HOTS or critical-thinking skills is a compelling rationale for the use of Destination Math in schools.”

46. MORE INFORMATION ON DESTINATION MATH Kentucky Center for Mathematics has submitted questions from their document: Considerations for Selecting a Primary Grades Supplemental Mathematics Diagnostic Intervention Program to the publisher of Destination Math. You can read the responses of the publisher at: http://kentuckymathematics.org/intervention/doc/2008/Considerations%20Vendor%20Template-Destination%20Math.pdf

47. PRODUCT DEMO http://web.riverdeep.net/portal/page?_pageid=818,1381578,818_1381618&_dad=portal&_schema=PORTAL

48. CONTACT INFORMATION Jamison J. Fisher Account Executive Houghton Mifflin Harcourt Learning Technology 304.552.0540 (mobile) 304.933.3009 (office) jamison.fisher@hmhpub.com

49. Creating or Selecting Intervention Programs NCTM http://www.nctm.org/intervention.aspx Questions to Consider When Creating or Selecting an Intervention Program

50. 1. Diagnostic assessment • 1.1. Does the intervention program include diagnostic assessments that identify students’ specific strengths and weaknesses with respect to both conceptual understanding and procedures? • 1.2. Do the assessments investigate students’ knowledge of fundamental mathematics concepts that are grade appropriate? • 1.3. Does the content that is assessed align with the school’s prescribed curriculum? • 1.4. Do the assessments communicate students’ strengths and weaknesses in ways that teachers and parents can understand?