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About Math 1 & 2

Math 1 and 2 is an interactive, multimedia math series. The course emphasizes problem solving in real-life situations that require mathematical concepts and communication. The course is open ended and user-centered. It is based on the NCTM (National Council of Teachers of Mathematics) Goals. Math 1 and 2 is appropriate for libraries, community colleges, vocational schools, adult basic education programs, correctional facilities, alternative schools, workplace education programs, and basic skills programs in other settings.

The series takes a problem-solving approach to math. The goal of the series is to provide a strategy to approach and solve math problems that learners are likely to encounter in their daily lives. The skills taught have application at school or work, at home and community.

Math 1 and 2 is aimed at learners who need to master the fundamental math concepts encountered every day. These are the concepts often presented during the first eight years of school. The instruction assumes a reading level of fourth grade or higher and begins with problem-solving strategies and whole number computation. The instruction progresses through fractions, decimals, measurement, geometry, data analysis, and probability. It does not include algebraic concepts. The course intergrates the use of estimation and calculator skills throughout the instruction.

The series teaches how to identify and define problems, select appropriate problem-solving strategies, compute solutions and check the reasonableness of solutions. Math concepts are presented through video segments featuring concrete examples explained by experienced math teachers.

The instruction is expanded through interactive computer books and reinforced through practice problems. The approcah takes learners past the traditional computational approach to math and into the application of math concepts in their daily lives.

The books reflect the NCTM goals as follows:

  1. Mathematics as Problem Solving—-The first book in the series, "Basic Problem Solving," teaches the problem-solving approach. In addition, each of the 700 practice problems throughout the 18 books is explained in detail using a four step problem-solving approach.
  2. Mathematics as Reasoning-—Each of the math concepts introduced in the series is presented through a logical sequence of thought. In addition, skills are introduced to enable students to think about problems in broad terms to determine a likely solution prior to calculating a best answer.
  3. Number Sense and Numeration-—This theme is introduced in the second book, "Starting Out with Numbers," and revisited as each new concept is introduced.
  4. Whole Number Operations-—Three books deal with basic operations and their application to real-world problems: "Starting Out with Numbers","The Other Basic Operations", and "Putting Basic Operations to Work."
  5. Whole Number Computation-—The selection and application of appropriate computation techniques is practiced in depth in the fourth book in the series, "Putting Basic Operations to Work." The eighth book, "The Calculator", teaches the appropriate use of the calculator as a problem-solving tool. In addition, an online calculator is available to students in those books where the use of the calculator is desirable.
  6. Number Systems and Theory-—Emphasis is placed on the number line, place value, and concepts beyond whole numbers including fractions, decimals, and rational numbers.
  7. Fractions and Decimals-—A full book is devoted to each. Math 1,Book 5, "Fractions," deals with the basic operations and oncversion of fractions, while the sixth book, "Decimals," treats the basic operations with decimals and their conversion with fractions.
  8. Estimation—-Two of the books in the series, "Estimation," and "Monetary Estimation," are devoted specifically to developing the skills and strategies of estimation. In addition, extimation is tied specifically to the correct use of the calculator. The skill is reinforced through carefully designed questions which allow for a range of appropriate answers within a range of tolerance.
  9. Measurement--The concepts of measuring length, weight, capacity, time, and temperature are presented in two books, "Measurement," and "Extending the Number Line."
  10. Geometry and Spatial Sense—-Math2,Books4 and 5, "Plane Geometry" and "Solid Geometry," discuss the fundamental concepts of geometry and introduce geometric problem-solving.
  11. Mathematical Connections-—Each of the concepts presented is connected to rea life through concrete examples and visual images which make the concepts meaningful. The books on "Presenting Percents" and "Consumer Math" emphasize problem-solving skills required on a daily basis.
  12. Patterns--The recognition of patterns in mathematics, the interpretation of those patterns and the solving of problems with the use of data are all introduced in Math 2, Book 7, "Patterns."
  13. Statistics and Probability—-The last two books in the series, "Data Sampling" and "Statistics and Probability", discuss the correct use of information and the likelihood of outcomes based on available information.
  14. Mathematics as Communication--This multimedia series simulates the world in which the learners live and solve problems. It presents information through a wide means of media including video, still images, graphics, charts, graphs, audio narration, print, and computer interaction.

The Video Component

Math 1 and 2 uses a KET-produced series, Math Basics, as its base. Some video segments feature nationally recognized teachers of mathematics using props to help learners visualize key mathematical concepts. Other segments show mathematics at work through brief interviews with people in their real-world settings. KET designed the video with multimedia in mind; the segments are designed to lead into other kinds of presentation and interactivity.

WHAT YOU WILL LEARN IN MATH 1

Book 1 - Basic Problem-solving
Describe the formal problenn-soiving approach.
Select appropriate problem-solving strategies.
Book 2 - Starting Out with Numbers
Interpret the meaning of number found in the real world.
Solve problems requiring whole number addition.
Interpret and solve addition problems involving large numbers.
Book 3 - The Other Basic Operations
Solve problems requiring multiplication.
Solve problems requiring subtraction.
Solve problems requiring division.
Book 4 - Putting Basic Operations to Work
Select and use the correct basic operation required to solve problems.
Solve problems requiring two different operations.
Solve complex problems requiring more than two basic operations.
Book 5 - Fractions
Solve problems requiring the multiplication of fractions.
Solve problems requiring the addition of fractions.
Solve problems requiring the subtraction of fractions.
Book 6 - Decimals
Solve problems requiring regrouping by tens.
Solve problems involving basic operations with decimals.
Express fractions as decimals.
Book 7 - Estimating
Recognize when estimation is appropriate.
Determine the level of accuracy required of an estimate based on the situation.
Apply three estimation techniques to solve real-life problems.
Book 8 - The Calculator
Calculate the solution to problems requiring basic operations.
Estimate to check the reasonableness of calculator solutions.
Calculate the solution to problems using a memory key.
Solve percent problems.
Book 9 - Presenting Percents
Solve percent problems.
Solve sales tax and tip problems.
Solve credit problems.

WHAT YOU WILL LEARN IN MATH 2

Book 1 - Monetary Estimation
Solve monetary estimation problems involving decimals.
Estimate the solution to monetary problems using fractions.
Estimate the solution to problems involving percent.
Book 2 - Measurement
Measure and convert common quantities using the English System.
Measure and convert quantities using the Metric System.
Convert English measures to Metric and vice versa.
Book 3 - Extending the Number Line
Add and subtract negative numbers.
Locate points on a coordinate grid system and interpret points found on a coordinate grid system.
Solve problems involving time.
Book 4 - Plane Geometry
Solve problems requiring the calculation of quadrilateral perimeters and areas.
Calculate the area and perimeter of a right triangle.
Solve problems for two-dimensional shapes requiring the value of pi.
Book 5 - Solid Geometry
Calculate the volume of rectangular solids.
Calculate the volume of prisms and pyramids.
Calculate the volume of cylinders, cones, and spheres.
Book 6 - Consumer Math
Solve problems involving comparisons.
Solve consumer problems involving cost per unit.
Solve ratio problems.
Book 7 - Patterns
Solve problems that involve the recognition of patterns.
Identify three types of graphs.
Solve problems requiring the interpretation of graphs.
Book 8 - Data Sampling
Interpret data using averages.
Determine whether samples are fair representations of the total from which they are drawn.
Identify misleading presentations of data.
Book 9 - Probability and Statistics
Express probability as a fraction or decimal.
Calculate probability in simple games of chance.
Solve problems involving probability.