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Multiplying Fractions
Young scholars 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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Finding the Distance and Midpoint of a Line Segment
Students use the Pythagorean formula to find the length of a line. Afterward, they explore the midpoint formula to determine the midpoint of a line with a non-zero slope on a coordinate plane. Students complete assigned problems and...
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Graphing Functions With 2 Points and From a Graph
Young scholars plot points on a coordinate plane. They describe, in words, methods for finding the slope of a line. After given a worksheet, students read instructions, draw a Cartesian plane, plot ordered pairs, and graph lines. ...
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Graphing Absolute value Inequalities
Students investigate the concept of inequalities and practice graphing them at various degrees of difficulty. They review the basic rules with the teacher at the level of theory which may make it harder for them to understand without...
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Graphing Linear Equations Using Data Tables
Pupils 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, pupils perform the same process, only, individually. As a...
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Graphing Linear Functions - Review
Pupils graph linear functions. They plot three points, create a line, and discuss methods to find the slope of line. In groups, students solve problems, graph their lines and find the slope of a line using various methods. Upon...
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Graphs Review
Seventh graders review different types of graphs such as bar graphs, line graphs, box & whisker plots. As a class, they read a story and construct graphs to solve the data in the story. Students play "Graph Jeopardy" which requires...
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Identifying slope from Equations
Students find the slope of a line given a linear equation in slope-intercept form. They also find the slope of a line given a linear equation in standard form. Students finally graph the line to show it visually.
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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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Introduction to Slope
Students distinguish between positive and negative slope. They calculate the slope of various lines. Students identify and generate perpendicular and parallel lines base on their slope.
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Integers and Fractions
Learners perform operations using positive and negative numbers as well as operations with fractions in various forms. They identify common decimals and their fraction equivalents while converting fractions to decimal form.
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Introductory Exponents
Students participate in a lesson combining language arts with mathematics. First, they write a paragraph explaining what it means to multiply two numbers. Then students practice using exponents in different problems.
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Intro to Polynomials
Seventh graders participate in a lesson introducing the mathematical concept of polynomials. They are asked questions and assessed according to the answers given during working in small groups.
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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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Multiplying and Dividing Polynomials
Students practice multiplying and dividing polynomial expressions with monomials. After a lecture on how to calculate the expression, students practice solving their own polynomial expression while being guided by their classmates.
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Inequalities - Absolute Value
Students graph the absolute value of compound inequalities. Through a demonstration, students discover the meaning of absolute value. They take notes, rewrite opposites, and solve for each variable. Students complete a worksheet and...
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Natural Selection I
Eighth graders list the steps of Darwin's natural selection. They demonstrate the process of natural selection in a predation activity. Students create paper origami frogs to race across the floor and analyze the differences in the...
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Multiplicative and Additive Identity
Students explore the identity properties of multiplication and of addition. They answer riddles that have to do with the identity properties and observe the teacher explanation of each property as they are modeled on the board. ...
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Intro To Quadrilaterals
Students engage in a lesson that is concerned with the concept of quadrilaterals and how they are used to create a rectangle for a door. They create a drawing of a quadrilateral while finding the sum of the angles. They practice problems...
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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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Solving Systems by Substitution
Students solve systems of linear equations using substitution. They investigate the steps to solving linear equations by substitution and practice problems in small groups.
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Perimeter and Area
Seventh graders develop strategies for finding the perimeter and area of large geometric figures. Through lecture and guided practice, 7th graders practice the strategy of dividing a geometric shape into smaller more manageable shapes...
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The Language of Algebra
Pupils compare the language of algebra to a foreign language. They play the game "Pictionary" to emphasize that pictures can represent words. After writing definitions and discussing the meaning of variable expressions, students, in...
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Volume of Solids
Learners engage in a lesson that is concerned with finding the volume of a solid. They investigate and describe the characteristics of a favorite food and identify it as metal or non-metal. The lesson includes pictures of different solid...