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Tessellations: Geometry and Symmetry
Learners examine tesselllations and their geometric properties. They have a better knowledge of polygons, can identify types of symmetry in tessellations. Also students use visulization, spatial reasoning, and geometric modeling to...
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Surface Area and Volume
Students are introduced to the notion of surface area and volume. Students review surface area and volume by finding the area of a two-dimensional shape. They practice using the computer to create different surface area shapes.
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From Probability to Combinatorics and Number Theory
Students see how division is used to help solve probability problems. They use tables as data structures where they are used to count outcomes and to compute probabilities. Students use games to help solve probability problems.
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Order of Operations
Sixth graders perform the Order of Operations. Given various story problems, groups of students solve equations requiring division, multiplication, parenthesis, exponents and other mathematical processes. They discuss the order of...
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Slosh, Dribble, and Plop
Students recognize the need for a standard unit of volume. They estimate and measure to the nearest liter. Also they relate the liter to the familiar everyday containers.
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Pizzas And Things
First graders problem solve using the concepts of doubling and halving numbers as previews for finding multiples and working with fractions. They determine how to find half of a set of objects and work with sums up to 16. They work with...
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Related Number Pairs
Third graders use tables to organize and display related pairs of numbers, such as the relationship of the number of insects to the total number of legs. They generate a table of related number pairs based on a real-life situation,...
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Mathematical Models with Applications: Two-Point Perspective Drawing
Students use interactive geometry exploration software (GES) to create a two-point perspective drawing. They explore basic geometry concepts in and geometric transformations of the model of a rectangular prism viewed from different...
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Circles
Fifth graders investigate the concept of finding the circumference of a circle. They demonstrate why the formula works with a hands on experiment. There is detailed instructions for carrying out the technical portions of the experiment.
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Estimating With Fractions
Seventh graders, exploring methods to estimate fractions, take notes on estimating fractions, 7th graders write letters to explain the process of estimating fractions and mixed numbers to someone who does not know the concept. Students...
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Geometric Transformations
Students solve problems involving transformations of geometric figures. They review graphing points in the coordinate plain, plot points and connect to create a triangle. Then, they reflect triangles over the x and y axis and use...
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Exponent Rules
Students engage in a lesson that is concerned with the rules of exponents. They practice solving problems that use exponents in a variety of contexts. Students are shown how to use the rules in numerical sequences and after translation...
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Multiplying Fractions
Students investigate the concept of multiplying fractions and use the inverse for doing division. They practice working the problems with scaffolding provided by examples with the teacher. The link is made to real life with the...
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Solving Systems by Elimination
Young scholars review solving absolute value equations. They watch as the teacher demonstrates solving a system of linear equations by addition. Students practice working problems by multiplying to obtain opposite cooefficients, and then...
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Graphing Linear Equations Using Data Tables
Students review the Cartesian plane and the process of plotting points. In groups, students create tables, identify the slope and y-intercept, and graph the equation. Afterward, students perform the same process, only, individually. As a...
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Identifying Functions
Students, after completing a warm up exercise on one proportion word problem, distinguish between functions and non-functions. They identify domain and range on a function as well as recognize and implement function notation. They solve...
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Linear Equations Data Tables
Students graph linear equations on a Cartesian plane. After describing data tables and their use, students explore how the information from a table can be used to create a line graph. They discuss reasons for plotting a minimum of...
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Scientific Notation
Students observe the teacher writing numbers and determine the rules for scientific notation. After explanations, they perform operations on numbers in scientific nation and discuss reasons for using this method of writing numbers and...
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Relating Division and Subtraction
Third graders relate the process of division to subtracting equal groups. Through guided practice and teacher demonstration, they complete division problems using a subtraction method. Students complete problems independently for...
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Plotting Coordinates on a Cartesian Plane
Students practice identifying points on a coordinate plane, creating charts, and calculating ratios. In groups, students play a "battleship" game where they determine the location of their own fleet and attempt to find the location of...
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Table Settings
Fifth graders explore and examine how to make organized lists and find patterns to help them solve problems. They identify, analyze and determine a rule for predicting and extending numerical patterns involving operations of whole...
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Population: Logistically Speaking
In this population worksheet, students read word problems relating to population growth. They write the problem as a differential equation, create models and graphs of the solution. This three-page worksheet contains 10 multi-step...
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The Bernoulli Effect - Conceptually
Students observe and/or conduct five experiments which address the Bernoulli Effect. In this conceptual lesson based on the Bernoulli Effect, the students construct atomizers, and make concrete observations and inferences in connection...
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Using Inverse Operations to Solve Equations
Fifth graders discover how to use inverse operations to solve equations. In this inverse operations lesson, 5th graders explore visual examples. Students also practice solving problems that their instructors model.
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