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Square Root Regression icon
Square Root Regression

Resource ID: txls198
Grade Range: 10
Subject: Math

This lesson is a student discovery lesson that culminates in square root regression with technology. Students will use their study of inverses, the relationship between quadratic and square root functions, their previous knowledge of regression, and determine how to find the square root regression of real-world data.

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Using Logical Reasoning to Prove Conjectures about Circles

Resource ID: gm1l19
Grade Range: 9 - 12
Subject: Math

Given conjectures about circles, the student will use deductive reasoning and counterexamples to prove or disprove the conjectures.

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Creating Nets for Three-Dimensional Figures

Resource ID: gm3l2a
Grade Range: 7
Subject: Math

Given nets for three-dimensional figures, the student will apply the formulas for the total and lateral surface area of three-dimensional figures to solve problems using appropriate units of measure.

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Drawing Conclusions about Three-Dimensional Figures from Nets

Resource ID: m7m3l16
Grade Range: 7 - 8
Subject: Math

Given a net for a three-dimensional figure, the student will make conjectures and draw conclusions about the three-dimensional figure formed by the given net.

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Generalizing Geometric Properties of Ratios in Similar Figures

Resource ID: gm2l3
Grade Range: 9 - 12
Subject: Math

Students will investigate patterns to make conjectures about geometric relationships and apply the definition of similarity, in terms of a dilation, to identify similar figures and their proportional sides and congruent corresponding angles.

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Determining Area: Sectors of Circles

Resource ID: gm4l3
Grade Range: 9 - 12
Subject: Math

Students will use proportional reasoning to develop formulas to determine the area of sectors of circles. Students will then solve problems involving the area of sectors of circles.

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Making Conjectures About Circles and Segments

Resource ID: gm4l16
Grade Range: 9 - 12
Subject: Math

Given examples of circles and the lines that intersect them, the student will use explorations and concrete models to formulate and test conjectures about the properties and relationships among the resulting segments.

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Determining Area: Regular Polygons and Circles

Resource ID: gm4l1
Grade Range: 9 - 12
Subject: Math

The student will apply the formula for the area of regular polygons to solve problems.

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Making Conjectures About Circles and Angles

Resource ID: gm4l16a
Grade Range: 9 - 12
Subject: Math

Given examples of circles and the lines that intersect them, the student will use explorations and concrete models to formulate and test conjectures about the properties of and relationships among the resulting angles.

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Domain and Range: Numerical Representations

Resource ID: a2m1l1
Grade Range: 9 - 12
Subject: Math

Given a function in the form of a table, mapping diagram, and/or set of ordered pairs, the student will identify the domain and range using set notation, interval notation, or a verbal description as appropriate.

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Solving Problems With Similar Figures

Resource ID: gm5l2
Grade Range: 9 - 12
Subject: Math

Given problem situations involving similar figures, the student will use ratios to solve the problems.

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Transformations of Square Root and Rational Functions

Resource ID: a2m3l3
Grade Range: 9 - 12
Subject: Math

Given a square root function or a rational function, the student will determine the effect on the graph when f(x) is replaced by af(x), f(x) + d, f(bx), and f(x - c) for specific positive and negative values.

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Transformations of Exponential and Logarithmic Functions

Resource ID: a2m3l4
Grade Range: 9 - 12
Subject: Math

Given an exponential or logarithmic function, the student will describe the effects of parameter changes.

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Solving Square Root Equations Using Tables and Graphs

Resource ID: a2m6l2a
Grade Range: 9 - 12
Subject: Math

Given a square root equation, the student will solve the equation using tables or graphs - connecting the two methods of solution.

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Functions and their Inverses

Resource ID: a2m3l8
Grade Range: 9 - 12
Subject: Math

Given a functional relationship in a variety of representations (table, graph, mapping diagram, equation, or verbal form), the student will determine the inverse of the function.

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Rational Functions: Predicting the Effects of Parameter Changes

Resource ID: a2m7l0
Grade Range: 9 - 12
Subject: Math

Given parameter changes for rational functions, students will be able to predict the resulting changes on important attributes of the function, including domain and range and asymptotic behavior.

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Domain and Range: Graphs

Resource ID: a2m1l2
Grade Range: 9 - 12
Subject: Math

Given a function in graph form, identify the domain and range using set notation, interval notation, or a verbal description as appropriate.

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Domain and Range: Function Notation

Resource ID: a2m1l3
Grade Range: 9 - 12
Subject: Math

Given a function in function notation form, identify the domain and range using set notation, interval notation, or a verbal description as appropriate.

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Domain and Range: Verbal Description

Resource ID: a2m1l4
Grade Range: 9 - 12
Subject: Math

The student will be able to identify and determine reasonable values for the domain and range from any given verbal description.

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Domain and Range: Contextual Situations

Resource ID: a2m1l5
Grade Range: 9 - 12
Subject: Math

The student will be able to identify and determine reasonable values for the domain and range from any given contextual situation.

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