# Desmos/Geogebra Projects and Lessons

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SAVE your graphs OFTEN.

**Desmos Explorations**

Precalculus Desmos Art Project

Desmos Art Project

Desmos Explorations

Precalculus Desmos Art Project

Desmos Art Project

Desmos Explorations

Algebra 1

Algebra 1

**Linear Equations**

Making an A Project

Graph a Box

Make a Three Dimensional Looking Box Using lines with restricted domains.

1. Start with making a 4 point rectangle..... then make another one offset up and to the right.

Connect the corners to give the art depth. You may need to find the equation of a line given two points to make the connection.

**Geometry**

**Algebra 2**

Conic Sections

Mr. Corneius's Lesson on Graphing Faces

Parabolas

McDonald's Arches

**Trig/MA**

Functions

**Linear Functions Project**

Write the equation of a line passing through the points ( 2 , 8 ) and (6 , 2 )

**Linear Model Project**

The following table lists values of *x* and *y*.

Pupil | A | B | C | D | E | F | G | H | I | J |
---|---|---|---|---|---|---|---|---|---|---|

Math Score | 45 | 83 | 65 | 62 | 71 | 52 | 69 | 72 | 58 | 64 |

Science Score | 39 | 80 | 59 | 60 | 65 | 54 | 65 | 67 | 56 | 64 |

1. Plot the points on desmos (see Scatterplot/Linear Regression example).

2. Use a calculator or online tool to find the line of best fit using least squares regression

3. Put the line of best fit on your graph

4. Use text boxes in desmos to describe

a. The meaning of the slope

b. The meaning of the y-intercept

**Quadratic Functions Project**

St Louis Arch-

McDonald's Arches

A Full McDonald's Meal

**Quadratic Forms**

1. Graph a parabola written in vertex form whose vertex is (-5,2) that passes through (-4,5)

2. Graph a parabola written in standard form whose vertex is (4,4) that passes through (0,0) [hint- it opens down]

3. Graph a parabola in factored form whose x intercepts are 4 and -2.

**Find a Quadratic Given Three Points**

Curve Fitting Project 1

Graph the points (-2,16) (0 , 2 ) and ( 3, 4)

then use y=ax^2+bx+c to create a three by three system of equations. Solve for a, b, and c

Check your work on the applet: Applet

Polynomial Function Projects

1. Graph a polynomial that has roots of -3, 0 and 2--. Write it in full polynomial form and show that it is the same graph.

2. Graph a polynomial that has the following roots and multiplicities

Root: -3 Multiplicity 2

Root -1 Multiplicity 1

Root 2 Multiplicity 3

Root 4 Multiplicity 1

Rational Function Projects

Rational Example of holes and poles

Project

1. Graph a rational expression that has vertical asymptotes at x=2 and x=-1 and a horizontal asymptote at y= 3

Exponential Projects

Exponential Growth: Compounding Interest

I invest $10,000 into a savings bond that provides 4% interest compounded monthly.

Model the story in Desmos. Change the window of your graph so I can see how much money you will make over 30 years. Show how much $ I will have in 10 years and how long it will take to double

Exponential Decay: Bouncy Ball

A bouncy ball is dropped from a height of 27 inches... It bounces up 2/3 of its original height after each bounce

Draw a graph to model the height of the ball at each bounce

Logarithmic Projects:

Trig Functions

Biorhythms Desmos

Sunrise, Sunset

**Stats**

Scatterplot and Linear Regression

**Transformation of Points**

Transformations

Transformations

**Rotatation**

Calculus

Calculus

Limits Exploration