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Common Core Standards

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568 KB|21 pages

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Product Description

This Smart Notebook file incorporates both the TI84 and the Transformation APP.

As students graph various equations students learn the effect of changing A and C in the quadratic equation.

The Smart Notebook file has sixteen slides in the lesson:

• Slide 2 is a Do Now that shows five graphed equations (in color) and five equations. Students much match each equation with one of the lines that is graphed.

• Slide 3 shows the graph of y = x + 2 and a set of table values associated with the equation. The slide states that this is a linear equation because it has a constant rate of change. The graph and the table can be used to show the constant rate of change.

• Slide 4 asks the students to graph y = (x)(x) and to make statements as to how the graph and set of table values differs from slide 3. The slide introduces the term PARABOLA.

• Slide 5 challenges the students to rewrite y = (x)(x) in another way. Students will probably use y = x2. This equation is given the name QUADRATIC EQUATION.

• In Slide 6 students study how the y-values are changing when the x values are change by 1.

• Using the transformation APP students enter the equation y = Ax2 in their calculator for slide 7. Students should notice that when A = 1 the graph is identical to what they saw before.

• Slide 8 continues to use the APP and A is set equal to 2. Students study both the graph and set of table values for this new equation. Students describe how the graph and table have changed.

• Slide 9 continues to use the APP and A is set equal to -1. Students study both the graph and set of table values for this new equation. Students describe how the graph and table have changed.

• Slide 10 continues to use the APP and A is set equal to -2. Students study both the graph and set of table values for this new equation. Students describe how the graph and table have changed.

• On slide 11 students are asked to predict what their graphs and tables will look like if A is set equal to -3 and +3. Students are asked to make predictions as to what will happen if A keeps getting larger and smaller.

• Now that students understand what the value of A does in the equation, students, on slide 12, enter a new equation in their calculator: y = Ax2 +C while using the APP. When A is 1 and C is zero they get a very familiar graph.

• Slide 13 continues to use the APP and students enter C as 1. The students are asked to study both a graph and a set of table values and describe how the table value and the graph have changed.

• Slide 14 is like slide 13, but with C = -1.

• Slide 15 challenges the students to think about what the equation y = -x2 +1 will look like on the graph and the table.

• Slide 16 challenges the students to think about what the equation y = -x2 -1 will look like on the graph and the table.

• Slide 17 is a demonstration of learning. Students need to write down four ideas they learned in this lesson.

The package includes a full set of directions on how to use the Smart Notebook file for a lesson.

As students graph various equations students learn the effect of changing A and C in the quadratic equation.

The Smart Notebook file has sixteen slides in the lesson:

• Slide 2 is a Do Now that shows five graphed equations (in color) and five equations. Students much match each equation with one of the lines that is graphed.

• Slide 3 shows the graph of y = x + 2 and a set of table values associated with the equation. The slide states that this is a linear equation because it has a constant rate of change. The graph and the table can be used to show the constant rate of change.

• Slide 4 asks the students to graph y = (x)(x) and to make statements as to how the graph and set of table values differs from slide 3. The slide introduces the term PARABOLA.

• Slide 5 challenges the students to rewrite y = (x)(x) in another way. Students will probably use y = x2. This equation is given the name QUADRATIC EQUATION.

• In Slide 6 students study how the y-values are changing when the x values are change by 1.

• Using the transformation APP students enter the equation y = Ax2 in their calculator for slide 7. Students should notice that when A = 1 the graph is identical to what they saw before.

• Slide 8 continues to use the APP and A is set equal to 2. Students study both the graph and set of table values for this new equation. Students describe how the graph and table have changed.

• Slide 9 continues to use the APP and A is set equal to -1. Students study both the graph and set of table values for this new equation. Students describe how the graph and table have changed.

• Slide 10 continues to use the APP and A is set equal to -2. Students study both the graph and set of table values for this new equation. Students describe how the graph and table have changed.

• On slide 11 students are asked to predict what their graphs and tables will look like if A is set equal to -3 and +3. Students are asked to make predictions as to what will happen if A keeps getting larger and smaller.

• Now that students understand what the value of A does in the equation, students, on slide 12, enter a new equation in their calculator: y = Ax2 +C while using the APP. When A is 1 and C is zero they get a very familiar graph.

• Slide 13 continues to use the APP and students enter C as 1. The students are asked to study both a graph and a set of table values and describe how the table value and the graph have changed.

• Slide 14 is like slide 13, but with C = -1.

• Slide 15 challenges the students to think about what the equation y = -x2 +1 will look like on the graph and the table.

• Slide 16 challenges the students to think about what the equation y = -x2 -1 will look like on the graph and the table.

• Slide 17 is a demonstration of learning. Students need to write down four ideas they learned in this lesson.

The package includes a full set of directions on how to use the Smart Notebook file for a lesson.

Total Pages

21 pages

Answer Key

Included

Teaching Duration

1 hour

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