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Mathematics


Math Vantage
Preparing for the transition to algebra and geometry
Grade Levels:
7-9
Length:
10-15 minutes
Taping Rights:
School year
MARC Record:
Downloadable
Teaching Materials:
See Below

Math Vantage helps students in the 7th, 8th, and 9th grades prepare for a smooth transition into algebra and geometry. The goals of the series are to promote active student involvement; integrate practical applications and enrichment activities; promote the multidisciplinary and multicultural aspects of the curriculum; develop problem-solving strategies and reasoning skills; provide distributed, integrated practice of mathematical concepts and skills; and encourage students to read and communicate mathematics, thereby taking responsibility for their own learning.

The series is divided into five units of several programs each:

  • The Patterns Unit (Programs 101-105) emphasizes the problem-solving technique of finding patterns while instructing students in basic math concepts.

  • The Spatial Sense Unit (Programs 106-111) develops the ability to visualize and identify properties of two- and three-dimensional shapes and to recognize those shapes in the environment.

  • The Data Analysis Unit (Programs 112-115) illustrates methods of collecting, interpreting, and presenting data in meaningful ways. Theories of probability are also demonstrated.

  • The Language of Mathematics Unit (Programs 116-119) helps develop an understanding of integers and the elements of algebraic statements.

  • The Proportional Reasoning Unit (Programs 120-123) develops an understanding of comparisons, scale representations, and percentages as relationships of elements.

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2007/08 Block Feeds on KET ED

Block Feed: Programs 101-119 Program Details
3 hours, 50 minutes
    Friday, November 30 at 6:00 am on KETED
    Friday, May 2 at 6:00 am on KETED

Block Feed: Programs 120-123 Program Details
56 minutes
    Friday, November 30 at 2:00 pm on KETED
    Friday, May 2 at 2:00 pm on KETED

Block Feed: Programs 101-114 Program Details
2 hours, 45 minutes
    Friday, August 31 at 9:00 am on KETED
    Friday, February 1 at 9:00 am on KETED

Block Feed: Programs 115-123 Program Details
2 hours
    Friday, August 31 at 2:00 pm on KETED
    Friday, February 1 at 2:00 pm on KETED


Episodes Included in These Block Feeds

101. Discovering Patterns
Introduces the use of patterns to explain, create, and predict. Patterns in card tricks, game strategies, music, laser light shows, woven cloth, baskets, and weather illustrate the importance of organizing and analyzing information to find patterns and make predictions.

102. Patterns with Ten
Illustrates the use of patterns in base ten place value, exponents, scientific notation, and the metric system.

103. Sequences and Ratios
The patterns of the Fibonacci Sequence and Golden Ratio are shown in the world around us. These topics introduce sequences and ratios and reinforce measuring skills.

104. Tessellations/Transformations
Tessellations are explained and shown in quilt patterns, architecture, and nature.

105. Networks, Paths, and Knots
Mathematics is portrayed as an evolving subject that develops through experimentation and discovery of patterns. Euler's early work with networks is connected to recent uses of network theory. Topology and knot theory are presented as evolutions of this earlier mathematical work.

106. 2D Visions in a 3D World
Investigates the necessary spatial skills for visualizing, representing, and interpreting object drawings and objects. These skills are explored in various arenas such as skydiving, videoscopic surgery, holograms, stereoscopic vision, box making, and computer-assisted design.

107. What's Your Angle?
Investigates various types of angles and their prevalence, importance, and use in the world around us. Parallel and perpendicular lines are also explored. Slope is defined and illustrated.

108. Trusting Triangles
Triangles have three important uses in our world: as a common shape used for structural support, as a means to indirectly measure distance, and as a basic shape with which the area of any polygon can be found. Important properties of triangles are presented and these uses of triangles illustrated.

109. A World of Quadrilaterals
The process of categorizing is explored as quadrilaterals are described and placed in various descriptive categories. Perimeter, area, and properties of certain types of quadrilaterals are illustrated with examples in the world around us. Viewers are challenged to ask why so many shapes are quadri

110. Going Around in Circles
Illustrates the properties of circles and curves and demonstrates the area and circumference of circles through the action and motion of car races and amusement parks.

111. Containers: Surface Area and Volume
Surface area, volume, and the relationship between the two are explored using animals, people, buildings, and other things that could collectively be called "containers."

112. Data: How Do You Get It?
Gives examples of common ways to collect data, including surveys, observation, examination of past records, experiments, and simulations.

113. Data: How Do You Show It?
Illustrates a variety of possible data displays and the arenas in which they may be most appropriate.

114. Data: What Does It Mean?
Illustrates the challenges and techniques in accurately interpreting a variety of data displays.

115. Chances Are
Illustrates data being used to make decisions and predictions based on the theories of probability.

116. Integers
Representing and using integers in various problem situations: adding, subtracting, multiplying, and dividing with integers; the number line; absolute value. 15 minutes.

117. Digitizing with Binary Power
Various number systems, with special emphasis on using base two to communicate with computers; using place value to translate quantities between different base systems.

118. Algebraic Expressions
Translating word problems into numeric or algebraic equations; evaluating algebraic expressions; combining like terms.

119. Algebraic Sentences
Creating algebraic sentences to describe patterns from tables, graphs, and situations; solving one- and two-step single-variable equations; finding and plotting ordered pairs; graphing one-variable inequalities on a number line.

120. Rates and Ratios: Comparisons
Rates and ratios are defined and used in numerous outdoor arenas, including wildlife conservation, camping, irrigation, and power generation at a large earthen dam. A sporting goods store and horse training and racing provide backdrops for more rates and ratios and a discussion of dimensional anal

121. Proportions: Expressing Relationships
Proportions are defined and the process for finding missing values in proportions explained. Proportional reasoning is used to win a bicycle race and to estimate populations in a football stadium and a forest. Direct proportions are placed within the context of direct relationships and compared to inverse relationships.

122. Proportions: The Stretching and Shrinking Machine
Proportional reasoning is illustrated in various types of art, architecture, furniture building, caricature making, and scale modeling. Proportions are used to enlarge, reduce, and make objects, such as furniture, fit just right.

123. Percents: Say It with Hundredths
Visualization becomes an important method for understanding percentages as comparisons to 100. The businesses of creating jewelry, potato chips, and ice cream serve as arenas for explaining percents. 13 minutes.

Teaching Materials

TEACHER'S GUIDE
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Kentucky Academic Expectations

This program relates to the following Kentucky Academic Expectations.

Kentucky schools may tape and retain programs according to the rights listed above. For further information, contact the KET Education Division.

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Last Updated: Friday, 30-Nov-2007 12:13:51 EST