Ms. Amber Nakamura's Mathematics Website
Algebra Project
What would your dream house look like? A cottage? A medieval castle? High schoolers enrolled in Algebra design the perfect house while using slopes to write equations for various aspects of the project.
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Graphing Quadratic Equations with a Coefficient of One
This is a teacher page for a lesson and does not include any materials to support the lesson. Students graph quadratic equations with a coefficient of one and create a table of values to graph a quadratic equation. They plot the values...
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Angle Measurements
In this angle measurement worksheet, 10th graders solve and complete 9 different word problems. First, they read the word problems carefully. Then, students draw a picture that represents each problem and solve. Finally, they find side...
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Equations of Circles
Using Cabri Jr. students construct a circle and determine the equation of the circle they drew by finding the center and the radius. Students use the distance formula to derive the equation of their circle.
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Perpendicular Bisector Theorem
High schoolers construct perpendicular bisectors using Cabri Jr. on their graphing calculator. They then construct conditional statements about perpendicular bisectors along with their converse, inverse, and contrapositive.
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Transformations and Exponential Functions
Tenth graders study graphing exponential functions. In this transformations lesson, 10th graders apply inquiry to determine how changes to a parent function affect its graph. Students analyze transformed graphs and generate the function...
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Properties of Logarithms
Students explore the concept of logarithms. In this logarithms lesson, students discuss the logarithm properties. Students use linear functions as a basis to develop the logarithm properites by substituting log b and log a for x and y.
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Complex Numbers
In this algebra worksheet, 11th graders solve complex numbers using division. multiplication, addition and subtraction. There are 11 questions with an answer key.
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Functions and Relations
In this algebra worksheet, students calculate the solution to a function using substitution. They determine if a relation is a function or not. There are 34 questions on this test about Functions.
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Quadratic Equations and Parabolas
Students graph and solve quadratic equations. In this functions lesson, students analyze a quadratic equation using three points on a curve to define the graph of a quadratic function. They find the vertex and intercepts of the graph.
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Cook Me Up Some Equations
Students study a variety of math concepts in the context of cooking up a meal. In this math lesson plan, students calculate surface area and volume. They draw and interpret different types of graphs.
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Equations of Circles
Students will define circle and radius. In this radius lesson, students are given a circumference, they will write an equation and sketch the circle. Students will match graphs of circles to their equations.
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Play Dough Day
Twelfth graders build a model of the following figures with the base from column I and the cross-section from column II. Draw the base with labeled axes on the graph paper and construct the figure on top of the base with the play dough...
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Fractals and the Chaos Game
Students explore the concept of fractals. In this fractals lesson plan, students play the "Chaos Game" via an applet. Students place dots on the screen to recognize that they have created Sierpinski's Triangle.
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Six Point and Line Always, Sometimes, or Never True Problems
In this points and lines worksheet, students apply their knowledge of points and lines to evaluate whether each of the six statements are always, sometimes, or never true.
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Pythagorean Theorem
Students investigate the Pythagorean Theorem. In this seventh through twelfth grade geometery lesson, students explore the Pythagorean Theorem and its converse and use it to find the length of the missing side of a right triangle.
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Measuring Supporting Structures
Students calculate the volume of the Pantheon's columns and estimate changes in weight given different parameters.
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Getting Familiar with Fractals
Students use the Internet to answer lab questions about fractals, and then construct fractals using the initial stage and iteration rule. They complete tables and generate rules for the "nth" term and create their own fractals.
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Math: Gears and Wheels
Twelfth graders solve problems involving linear and angular speed. Using information about a compact disc, they solve the problem using multiple rates and conversion factors. Students also solve additional problems involving bicycle...
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Decode Word Is..
Young scholars solve problems using patterns. In this algebra lesson, students identify the relation, domain and range of a function. They graph functions using coordinate pairs.
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The Swinging Pendulum
Students observe a pendulum and graph their observation. In this algebra lesson, students use the TI calcualtor to graph the motion the pendulum makes. They analyze the graph and make predictions.
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Graphing System of Equations
Students solve system of equation. In this algebra lesson, students graph, substitute and eliminate to solve system of equation. They identify the point of intersection and how many solution each system will have.
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