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Linear Functions
Fifth graders investigate the concept of a function in relationship to how it is used. The concept is essential for the future study of Algebra. They apply the use of patterns with its relationship to functions.
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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.
Virginia Department of Education
Equation Vocabulary
You'd feel bad if someone called you by the wrong name — and equations are no different. Young mathematicians learn the vocabulary associated with equations and expressions identifying these components in sample equations.
Curated OER
Making Money and Spreading the Flu!
Paper folding, flu spreading in a school, bacteria growth, and continuously compounded interest all provide excellent models to study exponential functions. This is a comprehensive resource that looks at many different aspects of these...
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Introduction to Functions
Students explore functions, function rules, and data tables. They explore terms of linear functions. Students use computers to analyze the functions. Students write short sentences to explain data tables and simple algebraic expressions.
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Swimmy's Friends
Students solve problems using various strategies. For this problem solving lesson, students read the book Swimmy by Leo Lionni. Students make fish swimming patterns, measure how many goldfish crackers it takes to make a handprint and...
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Paul's Patterns
Fourth graders listen to the problem. As the students work ask them questions that require them to describe the patterns in their own words.
If the students are having problems with finding the patterns encourage them to explore the...
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Graphing Linear Functions
Seventh graders identify the use of a function.They are asked to describe the input and output of a function. Students also identify different aspects of the coordinate system and represent functions in a visual graph.
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Perimeters, Patterns, and Conjectures
Students discover patterns and write conjectures relating to perimeters and polygons. Working in cooperative learning groups, they use manipulatives and graphic organizers to solve problems then answer a series of questions in which they...
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Graphs and Functions
Middle schoolers describe plotting functions on the Cartesian coordinate plane. They solve functions on paper and using an online tool to plot points on a Cartesian coordinate plane creating lines and parabolas.
West Contra Costa Unified School District
Writing Exponential Functions Based on Data
Give your class a concrete example of exponential growth and decay using this hands-on activity. These Algebra II lessons allow for the exploration of exponential growth and decay models, as well as the discovery of the patterns of each....
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I Can Do This! Systems of Equations
Students solve systems of 2-by-2 linear equations using tables,
graphs and substitution. In small groups, classmates work together to discover strategies for solving equations. They use a calculator to graphically represent their answers.
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Graphing Linear Inequalities
Eighth graders extend skills for representing and solving linear equations to linear inequalities. Lesson activities build understanding and skill by plotting ordered pairs of numbers that either satisfy or do not satisfy a given...
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Marcy's Dots
High schoolers identify the pattern changes that could occur in a series using pictures with dots. They use the patterns on the worksheets to have a context to describe pattern in words. Students look to find the linear, quadratic, or...
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Writing Equations Mixed Review
Students write equations based on a pattern. In this algebra activity, students calculate the arithmetic and geometric mean of a sequence. They rewrite word problems as a linear equation and solve real life scenario based on the given data.
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How Do They Relate? Linear Relationship
Young scholars collect information and use a line to represent it. In this algebra lesson, students investigate real world data to see if it makes a line. They graph the line comparing the relationship of the x axis with that of the y axis.
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Displaying Postcards
High schoolers solve a problem in a systematic and mathematical way. The use of an equation is applied to a word problem situation. It is necessary that students be familiar with different types of equations.
02 x 02 Worksheets
Inverse Variation
Discover an inverse variation pattern. A simple lesson plan design allows learners to explore a nonlinear pattern. Scholars analyze a distance, speed, and time relationship through tables and graphs. Eventually, they write an equation to...
West Contra Costa Unified School District
The Power of Ten: Building a Magnitude Model
Add visual representation to teaching place value with a magnitude model. Using adding machine tape, pupils build a linear place value strip from 1 to 100.
Virginia Department of Education
Equations
Science equipment can be handy for math class, too. Scholars learn to solve one- and two-step linear equations by using the concept of a balance. They solve real-world problems in a variety of contexts by writing and solving linear...
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Using Representations to Model Problems
student make predictions or draw conclusions based on physical and visual representations of profit and sales. They model problems with physical materials and visual representations, and use models, graphs and tables to draw conclusions...
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Highs and Lows
Solve problems using integration and derivatives. By using calculus, learners will analyze graphs to find the extrema and change in behavior. They then will identify the end behavior using the derivatives. Activities and handouts are...
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Cover and Boarders
Learners find the area and perimeter of rectangular figures. They use this information to find patterns and discover relationships between area and perimeter. Students apply and explain formulas relating to perimeter, area, and volume.
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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...