MTH332: Integrated Math

This list is representative of the materials provided or used in this course. Keep in mind that the actual materials used may vary, depending on the school in which you are enrolled, and whether you are taking the course as Independent Study.

For a complete list of the materials to be used in this course by your enrolled student, please visit MyInfo. All lists are subject to change at any time.

Scope & Sequence : Scope & Sequence documents describe what is covered in a course (the scope) and also the order in which topics are covered (the sequence). These documents list instructional objectives and skills to be mastered. K12 Scope & Sequence documents for each course include:

Course Overview

This integrative math course helps students develop mathematical skills that enable them to solve problems and use reason and logic in math courses. Integrated Math gives them an overview of the many mathematical disciplines; topics include number sense, operations, algebraic sense, introduction to probability, geometric figures, geometric movement, measurement, and a more in-depth look at probability (including permutations and combination). Content is expressed in everyday mathematical language and notations to help students learn to apply the skills in a variety of applications. Instruction is supplemented with self-check quizzes audio tutorials, Web quests, and interactive games that engage students in the content they are learning.

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Prerequisites

None

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Course Outline

SEMESTER ONE

Unit 1: Number Sense

Number sense is our understanding of numbers that allows us to approach concepts, ideas and problems concerning numbers based on our backgrounds, experiences, and education. In this unit, students explore many types of numbers and learn to check their answers for reasonableness by using estimation.

  • Single-Step Estimation
  • Whole Numbers
  • Integers
  • Fractions and Decimals
  • Exponents and Square Roots
  • Rational Numbers

Unit 2: Operations

Learning to manipulate numbers gives us a more complete understanding of the order of things and allows us to make the best decisions. Students explore operations with the numbers that they studied in Unit 1. They learn to manipulate exponents, the order in which they solve basic calculations, and ratios and percents. They use estimation prior to solving problems and then self-check each problem.

  • Scientific Notation
  • Order of Operations
  • Estimation
  • Ratio, Percent, and Proportion
  • Number Sense Problem Solving

Unit 3: Algebraic Sense

Algebra is a branch of mathematics in which letters are used to represent basic arithmetic relations. As in arithmetic, the basic operations of algebra are addition, subtraction, multiplication, division, and the extraction of roots. Arithmetic, however, cannot generalize such mathematical relations as the Pythagorean theorem, for example, which states that the sum of the squares of the sides of any right triangle is also a square. Arithmetic can produce specific instances of these relations, but algebra can make a purely general statement that fulfills the conditions of the theorem.

  • Introduction to Algebraic Expressions
  • Patterns in Algebra
  • Solving Single-Step equations
  • Solving Two-Step equations
  • Solving and Writing Inequalities
  • Graphing Inequalities
  • Systems of Equations

Unit 4: Probability 1

What is a probability? In an event where the outcome is uncertain, such as the roll of a die, the amount of rain that we get tomorrow, or the state of the economy in one month, a probability is a numerical measure of the likelihood of the event. It is a number that we attach to an event, say the event that we'll get over an inch of rain tomorrow, which reflects the likelihood that we will get this much rain.

  • Probability
  • Experimental Probability
  • Measures of Central Tendencies

SEMESTER TWO

Unit 5: Geometric Figures

Students explore points, lines, planes, polygons—identifying figures and their characteristics. In a later unit, they will learn how to calculate perimeter and area of some of these figures.

  • Points, Lines, and the Plane
  • Geometric Figures
  • Angles
  • Parallel and Perpendicular Lines
  • Triangles
  • Prisms and Pyramids

Unit 6: Geometric Movement

We are constantly measuring movement—the speed at which we drive, the direction that we hike, the angle that a ball is thrown. Movement is constantly changing—changing speed, direction, and angle. If you move all the points on a geometric figure (the "object") according to set rules ("transformation"), you get a new geometric figure (the "image"). Students learn three kinds of transformations: translations, reflections, and rotations.

  • The Cartesian Plane
  • Transformations
  • Geometric Problem Solving

Unit 7: Measurement

In order to measure accurately, measuring instruments must be carefully constructed and calibrated. However, all measurements have some degree of uncertainty associated with them. Students learn to use formulas, while drawing on previously learned mathematical topics.

  • Metric Measurement
  • Customary Measurement
  • Length, Mass, Capacity
  • Perimeter
  • Area
  • Volume
  • Time

Unit 8: Probability 2

In the first semester, students studied the basics of probability. In this unit, they study permutations and combinations and how they are relevant to data collection.

  • Permutations
  • Combinations
  • Data
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K12 Scope & Sequence documents for each course include:

  • Course Overview (as seen above)
  • Course Outline
  • Lesson Time and Scheduling