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Graphs and Functions
Use this series of activities to introduce learners to graphing functions. They graph both linear and quadratic equations by hand and with a Graph Sketcher Tool. Several imbedded links and handouts are included in the lesson.
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Cuisenaire Mats
First graders use Cuisenaire rods to study the mathematical symbols =, <, > for the relationships is equal to, is less than, and is greater than. They use the rods to show visual explanations of common number combinations.
New Zealand Ministry of Education
Properties of Operations
Learners consolidate and extend understanding of simple properties of the four arithmetic operations. They use these properties as an aid to easy calculation. They discover and use some more complex properties of addition, subtraction,...
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Inequalities 7.3
Graph inequalities and discuss the difference in their slopes. Learners observe rate of change as they compare linear, quadratic, and cubic functions.
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A Special Relationship
Students discover the relationships of the lengths of the sides of right triangles and right triangles using a series of drawings on dot paper. They investigate and solve problems of standard (customary and metric units) and non-standard...
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Introduction to Statistics: Mean, Median, and Mode
Students explore the concepts of mean, median, and mode. They develop an understanding and familiarity with these concepts. Students explore mean and median in an efficient way. Students explore three different measures of center.
Utah Education Network (UEN)
Linear Relationships: Tables, Equations, and Graphs
Pupils explore the concept of linear relationships. They discuss real-world examples of independent and dependent relationships. In addition, they use tables, graphs, and equations to represent linear relationships. They also use ordered...
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Functions and Their Graphs
Use a worksheet to go over the basic concepts of relations and functions. Included are clear definitions and examples of relations, domain and range, and functions and the vertical line test. However, the problems are pretty basic. A...
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Graphing and the Coordinate Plane
Students examine the four quadrants of Cartesian coordinate plane. They play maze games and coordinate games to discover how to read and plot points on the plane. Students plot points on the coordinate plane and examine the ratio of...
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Is Global Warming Happening?
Students investigate the probability of global warming and the effects of global warming on the environment. They conduct Internet research and collect data, transfer the data onto an Excel spreadsheet, and create a presentation that...
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Slopes of Lines
Students examine a graph and relate it to the real world situation it depicts. They investigate changes in an equation and the appearance of a line. They investigate the connection between the graph of a situation and the meaning of the...
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Decibel Measurements
In this decibel worksheet, students answer 19 questions about amplifiers, circuits and the power gains or losses in these electrical systems.
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Functions and the Vertical Line Test
Learners examine functions and function notation. They use computer activities to discover how to graph functions, and conduct a vertical line test. Students describe spatial relationships using coordinate geometry.
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Variables and Open Sentences
Fourth graders examine the purpose of variables and identify the missing variable in open sentences. They observe the teacher solve a variety of problems, complete a worksheet as a class, and independently complete another worksheet. ...
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Meet the Neighbors: Planets Around Nearby Stars
Young scholars explain why a transiting planet causes a periodic dimming in the light from its parent star. They determine the radius of a planet, and its orbital distance, by analyzing data and manipulating equations. Students compare...
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Equations Lesson Plan
Seventh graders play "What's my Rule" beginning with simple equations and working towards harder problems as student's gain confidence. They evaluate the equations by graphing them. Students identify the slope and y intercepts of the...
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Square and Triangular Numbers
Students use equations to represent practical situations. They solve linear equations and quadratic equations. The use of problem solving strategies is also developed.
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Triangular Numbers
Young scholars are introduced to the problem and brainstorm ideas for approaching the problem and keeping track of what has been done. They work in pairs and share their answers, explaining their reasoning.
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Chart Your Course
Students explore change represented in graphs comparing distance and time. They exchange and share their graphs. Students interpret and create distance versus time line-graphs, and write stories based on these graphs. They interpret a...
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Graphing and the Coordinate Plane
Students learn about the Cartesian coordinate plane, understand the four quadrants of the Cartesian coordinate plane, and plot points on the plane. Students read coordinates for a point from a graph and give the ratio of rise over run...
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Reading Graphs
Students practice plotting functions on the Cartesian coordinate plane, see several categories of functions, including lines and parabolas, and read a graph, answering questions about the situation described by the graph
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Reading Graphs
Students plot functions on the Cartesian coordinate plane. They explore lines and parabolas. Students analyze graphs and answer questions about the information presented on the graph using an online program.
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Cartesian Coordinate System
Students explore the Cartesian coordinate plane and plot points on the graph. They interpret coordinates for a point from the graph and give the ratio of rise over run for slope.
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Introduction to Linear Functions
Students are introduced to the concept of linear functions. Using new terminology, they describe linear functions in sentences and in data tables. Using the internet, they calculate and record answers to problems which are discussed...