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Technology in Mathematics

Integrating graphing aides into core curriculum
by

Adrienne Diaz

on 21 June 2016

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Transcript of Technology in Mathematics

AlGeBrA I
LINEar EQuations:
AlGeBrA II
Translations& Reflections
Geometry
Output
& Free OnlineComputer Graphing Applications
Teachers can utilize Geogebra & Online Graphing Calculators to enhance instruction
Angles
Technology in Mathematics
Integrating Graphing Aides Into Core Curriculum
Geogebra.org
Slopes & Intercepts
Polygons
Parallel Lines
Perpendicular Lines
D i a l a t i o n s
ALGEBRA I
Understanding SLOPE
Compressions
Using Geogebra and a pen & tablet to show why the Equation of a slope is :
Prepare Ahead In order to Focus on Instruction
Slope =
rise
run
or
Start with basic concepts to develop upon
Images can be toggled on/off
Teacher is able to give instruction while providing visuals. Tablet and pen allow instructor to write directly on graph
Intercepts :
Graphically show how the y-intercept is where the line crosses the y-axis and the x-intercept is where the line crosses the x-axis
Coordinates :
Geogebra lists the algebraic parts of the graphs (i.e. the coordinates of each of the points A and B)
Parallel lines
Teachers & Students can use Geogebra to graph parallel lines through given points
graph the first line and then select the parallel line option
Scroll over the icon for instructions of how to create a new line that is parallel to the first
Equations of the two lines can be viewed in standard or slope-intercept form
Shows that the slopes of parallel lines are equal
Perpendicular Lines
created the same as parallel lines but use the perpendicular lines option
shows that slopes are negative reciprocals
points & other objects can be color coded to highlight specific items or concepts
Geometry
Angles
Polygons
Characteristics of Regular Polygons
technology
Circles
Identifying types of angles
grid & axes can be toggled on/off
points & angle size are labeled, color options available
all sides and angles are equal
measures the angle between 3 points
Text can be entered, sized & moved freely
segments can be placed to show length of sides
http://my.hrw.com/math06_07/nsmedia/tools/Graph_Calculator/graphCalc.html
Online GRAPHING CALCULATORS
Circles
Area & Circumference
equation of a circle with center & radius
Instruction can show how formulas for area & circumference work
Geogebra calculates area & distance (circumference/perimeter)
Reflections
students can access online no download needed
provides features that work for many different areas of math
ALGEBRA II
Parabolas
in mathematics
Reflections of
y = x
2
equations listed & color coded
table of x & y values can be altered
Translations of
shows how graph is shifted right then up
y = x
2
graphs can be toggled on/off
new vertex at (2,3)
Compressions
D i a l a t i o n s
parabola widens
vertex stays at (0,0)
graph window size can be adjusted in settings
equations can be changed to see how it affects the graph of y=x
2
vertex stays at (0,0)
Intersection: will find the point where two graphs intersect
multiplying by a positive whole number narrows the parabola
y = x
2
narrows
students learn to use the technology in class and then can download/access at home for free
Students can explore concepts further by manipulating the applications themselves
SELF DISCOVERY
EASY ACCESS
INSTRUCTION
m =
y - y
2 1
x - x
2 1
Full transcript