NC Standards Alignments

These are the resources that support this North Carolina Standard.

NC.M1.A-REI.11 - Build an understanding of why the x-coordinates of the points where the graphs of two linear, exponential, and/or quadratic equations __ = __(__) and __ = __(__) intersect are the solutions of the equation __(__) = __(__) and approximate solutions using graphing technology or successive approximations with a table of values.

Displaying 1 - 49 of 49 resources:

Thumbnail Image Title Description Curriculum Nodes
Desmos Resource

Desmos Algebra Activities

This is a collection of graphing calculator activities, videos, and tutorials that cover a wide range of algebra topics. Some of these activities include companion worksheets.  Special Functions, Slope-Intercept Form, Quadratic Equations and Functions, Graphs of Linear Functions, Radical Functions and Equations, Trigonometric Functions, Standard Form, Applications of Linear Functions, Point-Slope Form, Applications of Exponential and Logarithmic Functions, Graphs of Exponential and Logarithmic Functions, Graphs of Quadratic Functions, Rational Functions and Equations, Slope and Proportions
Interactive Media Collection: Linear Equations in Standards Form

Interactive Media Collection: Linear Equations in Standards Form

This collection aggregates all the math videos and other resources on the topic of Linear Equations in Standard Form. here are seven resources.  Standard Form
point-slope form

Interactive Media Collection: Point-Slope Form

This collection aggregates all the math videos and other resources on the topic of the Point-Slope Form. There are seven resources.  Point-Slope Form, Slope-Intercept Form, Calculus Vocabulary, Applications of Linear Functions and Graphs of Linear Functions
Desmos Resource

Desmos Activity: Equations of Parabolas 1

Derive the equation of a parabola with a vertex at the origin and focus at coordinates (0, f) using a Desmos graphing calculator. There is a companion worksheet for this activity, which subscribers can download. Graphs of Quadratic Functions
Desmos Activity: Equations of Parabolas 2

Desmos Activity: Equations of Parabolas 2

Derive the equation of a parabola with Focus at coordinates (a, c) and Directrix at y = c using a Desmos graphing calculator. There is a companion worksheet for this activity, which subscribers can download. The worksheet is a PDF file.

Graphs of Quadratic Functions
Desmos Activity: Exploring Celsius-Fahrenheit Temperature Conversions

Desmos Activity: Exploring Celsius-Fahrenheit Temperature Conversions

Explore Fahrenheit-vs-Celsius graphs using this Desmos graphing calculator activity. In this activity explore linear functions of the form y = mx + b. There is a companion worksheet for this activity, which subscribers can download.

Graphs of Linear Functions
Desmos Activity: Exploring Cost-Versus-Time Graphs

Desmos Activity: Exploring Cost-Versus-Time Graphs

Explore Cost-vs-Time graphs using this Desmos graphing calculator activity. In this activity explore linear functions of the form y = mx. There is a companion worksheet for this activity, which subscribers can download.

Graphs of Linear Functions
Desmos Activity: Exploring Cost-Versus-Time Graphs 2

Desmos Activity: Exploring Cost-Versus-Time Graphs 2

Explore Cost-vs-Time graphs using this Desmos graphing calculator activity. In this activity explore linear functions of the form y = mx + b. There is a companion worksheet for this activity, which subscribers can download.

Graphs of Linear Functions
Desmos Activity: Exploring Cricket Chirps Vs. Temperature

Desmos Activity: Exploring Cricket Chirps Vs. Temperature

Explore Cricket Chirps-vs-Temperature graphs using this Desmos graphing calculator activity. In this activity explore linear functions of the form y = mx + b. There is a companion worksheet for this activity, which subscribers can download.

Applications of Linear Functions
Desmos Activity: Exploring Distance-Versus-Time Graphs

Desmos Activity: Exploring Distance-Versus-Time Graphs

Explore Distance-vs-Time graphs using this Desmos graphing calculator activity. This activity explores linear functions of the form y = mx. There is a companion worksheet for this activity, which subscribers can download.

Graphs of Linear Functions
Desmos Activity: Exploring Distance-Versus-Time Graphs 2

Desmos Activity: Exploring Distance-Versus-Time Graphs 2

Explore Distance-vs-Time graphs using this Desmos graphing calculator activity. This activity explores linear functions of the form y = mx + b. There is a companion worksheet for this activity, which subscribers can download.

Graphs of Linear Functions
Desmos Activity: Exploring Hooke's Law

Desmos Activity: Exploring Hooke's Law

Explore Hooke's Law using this Desmos graphing calculator activity. In this activity explore linear functions of the form y = mx. There is a companion worksheet for this activity, which subscribers can download.

Graphs of Linear Functions and Proportions
Desmos Activity: Exploring Quadratic Functions in Standard Form

Desmos Activity: Exploring Quadratic Functions in Standard Form

Explore quadratic functions in standard form using this Desmos graphing calculator activity. In addition to graphing the parabola, it tracks the coordinates of the vertex and the axis of symmetry.

Graphs of Quadratic Functions
Desmos Activity: Exploring Quadratic Functions in Vertex Form

Desmos Activity: Exploring Quadratic Functions in Vertex Form

Explore quadratic functions in vertex form using this Desmos graphing calculator activity.

Graphs of Quadratic Functions
Desmos Activity: Exploring the Slope Formula

Desmos Activity: Exploring the Slope Formula

Desmos Activity: Exploring the Slope Formula Click on this link to see the complete collection of Desmos resources.

Slope
Desmos Activity: Linear Equations in Point-Slope Form

Desmos Activity: Linear Equations in Point-Slope Form

In this graphing calculator activity, have your students explore how to convert linear equations in point-slope to a linear function in slope-intercept form.

Point-Slope Form
Desmos Activity: Linear Equations in Standard Form

Desmos Activity: Linear Equations in Standard Form

Desmos Activity: Linear Equations in Standard Form

In this graphing calculator activity, have your students explore how to convert linear equations in standard form to a linear function in slope-intercept for

Standard Form
Desmos Activity: Linear Functions 1: y = mx

Desmos Activity: Linear Functions 1: y = mx

In this graphing calculator activity, have your students explore linear functions of the form y = mx. This Desmos template allows students to explore the effect of changes in the slope have on the graph of the line.

Slope-Intercept Form
Desmos Activity: Linear Functions 2: y = x + b

Desmos Activity: Linear Functions 2: y = x + b

In this graphing calculator activity, have your students explore linear functions of the form y = x + b. This Desmos template allows students to explore the effect of changes in the y-intercept have on the graph of the line.

Slope-Intercept Form
Desmos Activity: Linear Functions 3: y = mx + b

Desmos Activity: Linear Functions 3: y = mx + b

In this graphing calculator activity, have your students explore linear functions of the form y = mx + b.

Slope-Intercept Form
Desmos Activity: Quadratic Functions 1: y = ax^2

Desmos Activity: Quadratic Functions 1: y = ax^2

In this graphing calculator activity, have your students explore quadratic functions of the form y = ax2. This Desmos template allows students to explore the effect of changes in the coefficient a on the graph of the parabola.

Quadratic Equations and Functions
Desmos Activity: Quadratic Functions 2: y = ax^2 + c

Desmos Activity: Quadratic Functions 2: y = ax^2 + c

In this graphing calculator activity, have your students explore quadratic functions of the form y = ax2 + c. This Desmos template allows students to explore the effect of changes in the values of a and c on the graph of the parabola.

Quadratic Equations and Functions
Desmos Activity: Quadratic Functions 3: y = ax^2 + bx

Desmos Activity: Quadratic Functions 3: y = ax^2 + bx

In this graphing calculator activity, have your students explore quadratic functions of the form y = ax2 + bx. This Desmos template allows students to explore the effect of changes in the values of a and b on the graph of the parabola.

Quadratic Equations and Functions
Desmos Activity: Quadratic Functions 4: y = ax^2 + bx + c

Desmos Activity: Quadratic Functions 4: y = ax^2 + bx + c

In this graphing calculator activity, have your students explore quadratic functions of the form y = ax2 + bx + c. This Desmos template allows students to explore the effect of changes in the values of a, b, and c on the graph of the parabola.

Quadratic Equations and Functions
INSTRUCTIONAL RESOURCE: Desmos Tutorial: Linear Functions in Slope Intercept Form

INSTRUCTIONAL RESOURCE: Desmos Tutorial: Linear Functions in Slope Intercept Form

INSTRUCTIONAL RESOURCE: Desmos Tutorial: Linear Functions in Slope Intercept Form

In this Slide Show, use the Desmos graphing calculator to explore linear equations in slope intercept form.

Graphs of Linear Functions and Slope-Intercept Form
INSTRUCTIONAL RESOURCE: Nspire App Tutorial: Arithmetic Sequences

INSTRUCTIONAL RESOURCE: Nspire App Tutorial: Arithmetic Sequences

In this Slide Show, we show how to generate an arithmetic sequence. This presentation requires the use of the TI-Nspire iPad App. Note: the download is a PPT.

Sequences and Series
INSTRUCTIONAL RESOURCE: Nspire App Tutorial: Constructing an Isosceles Triangle

INSTRUCTIONAL RESOURCE: Nspire App Tutorial: Constructing an Isosceles Triangle

In this Slide Show, we show how to construct an isosceles triangle. This presentation requires the use of the TI-Nspire iPad App. Note: the download is a PPT.

Definition of a Triangle and Geometric Constructions with Triangles
INSTRUCTIONAL RESOURCE: Nspire App Tutorial: Geometric Sequences

INSTRUCTIONAL RESOURCE: Nspire App Tutorial: Geometric Sequences

In this Slide Show, we show how to generate a geometric sequence. This presentation requires the use of the TI-Nspire iPad App. Note: the download is a PPT.

Sequences and Series
INSTRUCTIONAL RESOURCE: Nspire App Tutorial: Graphing a Scatterplot

INSTRUCTIONAL RESOURCE: Nspire App Tutorial: Graphing a Scatterplot

In this Slide Show, learn how graph data in a scatterplot using the graph window. This presentation requires the use of the TI-Nspire iPad App. Note: the download is a PPT.

Graphs of Linear Functions, Slope-Intercept Form and Data Analysis
INSTRUCTIONAL RESOURCE: Nspire App Tutorial: Graphs of Absolute Value Functions

INSTRUCTIONAL RESOURCE: Nspire App Tutorial: Graphs of Absolute Value Functions

In this Slide Show, absolute value functions are graphed, including graphs centered at the origin, graphs displaced along the x-axis, and graphs displaced along the y-axis. This presentation requires the use of the TI-Nspire iPad App.

Special Functions
INSTRUCTIONAL RESOURCE: Nspire App Tutorial: Graphs of Inequalities

INSTRUCTIONAL RESOURCE: Nspire App Tutorial: Graphs of Inequalities

In this Slide Show, the Graph Window is used to graph linear inequalities. This presentation requires the use of the TI-Nspire iPad App. Note: the download is a PPT.

Inequalities and Applications of Linear Functions
INSTRUCTIONAL RESOURCE: Nspire App Tutorial: Graphs of Inequalities with Sliders

INSTRUCTIONAL RESOURCE: Nspire App Tutorial: Graphs of Inequalities with Sliders

In this Slide Show, the Graph Window is used to graph inequalities using sliders. This presentation requires the use of the TI-Nspire iPad App. Note: the download is a PPT.

Inequalities and Applications of Linear Functions
INSTRUCTIONAL RESOURCE: Nspire App Tutorial: Graphs of Linear Functions

INSTRUCTIONAL RESOURCE: Nspire App Tutorial: Graphs of Linear Functions

In this Slide Show, linear functions are graphed. This presentation requires the use of the TI-Nspire iPad App. Note: the download is a PPT.

Applications of Linear Functions
INSTRUCTIONAL RESOURCE: Nspire App Tutorial: Graphs of Quadratic Functions in Standard Form with Sliders

INSTRUCTIONAL RESOURCE: Nspire App Tutorial: Graphs of Quadratic Functions in Standard Form with Sliders

In this Slide Show, learn how to graph quadratic functions in standard form using sliders for the values of a, b, and c. This presentation requires the use of the TI-Nspire iPad App. Note: the download is a PPT.

Applications of Quadratic Functions and Graphs of Quadratic Functions
INSTRUCTIONAL RESOURCE: Nspire App Tutorial: Graphs of Quadratic Functions in Vertex Form with Sliders

INSTRUCTIONAL RESOURCE: Nspire App Tutorial: Graphs of Quadratic Functions in Vertex Form with Sliders

In this Slide Show, learn how to graph quadratic functions in vertex form using sliders for the values of h and k. This presentation requires the use of the TI-Nspire iPad App. Note: the download is a PPT.

Applications of Quadratic Functions and Graphs of Quadratic Functions
INSTRUCTIONAL RESOURCE: Nspire App Tutorial: Parallel and Perpendicular Lines

INSTRUCTIONAL RESOURCE: Nspire App Tutorial: Parallel and Perpendicular Lines

In this Slide Show, explore the properties of parallel and perpendicular lines. Use a slider to define the slope and then graph parallel and perpendicular lines linked to this slider.

Parallel Lines and Perpendicular Lines
INSTRUCTIONAL RESOURCE: Nspire App Tutorial: Point-Slope Form

INSTRUCTIONAL RESOURCE: Nspire App Tutorial: Point-Slope Form

In this Slide Show, create a template for determining the equation of a line given a point and the slope of the line. This presentation requires the use of the TI-Nspire iPad App. Note: the download is a PPT.

Applications of Linear Functions, Graphs of Linear Functions and Point-Slope Form
INSTRUCTIONAL RESOURCE: Nspire App Tutorial: Quadratic Formula Template

INSTRUCTIONAL RESOURCE: Nspire App Tutorial: Quadratic Formula Template

In this Slide Show, learn how to program a function for solving quadratic equations. This presentation requires the use of the TI-Nspire iPad App. Note: the download is a PPT.

Quadratic Formula
INSTRUCTIONAL RESOURCE: Nspire App Tutorial: Slope Formula 1

INSTRUCTIONAL RESOURCE: Nspire App Tutorial: Slope Formula 1

In this Slide Show, the Graph Window is used to calculate the slope of the line between two points.

Slope
INSTRUCTIONAL RESOURCE: Nspire App Tutorial: Slope Formula 2

INSTRUCTIONAL RESOURCE: Nspire App Tutorial: Slope Formula 2

In this Slide Show, the Graph Window is used to construct two points and a linked formula to calculate the slope. This presentation requires the use of the TI-Nspire iPad App. Note: the download is a PPT.

Slope
INSTRUCTIONAL RESOURCE: Nspire App Tutorial: Slope Formula 3

INSTRUCTIONAL RESOURCE: Nspire App Tutorial: Slope Formula 3

In this Slide Show, a Slope Formula template is created using the Spreadsheet window. This presentation requires the use of the TI-Nspire iPad App. Note: the download is a PPT.

Slope
INSTRUCTIONAL RESOURCE: Nspire App Tutorial: Slope-Intercept Form with Sliders

INSTRUCTIONAL RESOURCE: Nspire App Tutorial: Slope-Intercept Form with Sliders

In this Slide Show, linear functions in slope-intercept form are graphed using sliders. This presentation requires the use of the TI-Nspire iPad App. Note: the download is a PPT.

Graphs of Linear Functions and Slope-Intercept Form
INSTRUCTIONAL RESOURCE: Nspire App Tutorial: The Fibonacci Sequence

INSTRUCTIONAL RESOURCE: Nspire App Tutorial: The Fibonacci Sequence

In this Slide Show, we show how to generate the Fibonacci Sequence, as well as show to graph it. This presentation requires the use of the TI-Nspire iPad App. Note: the download is a PPT.

Applications of Coordinate Geometry, Coordinate Systems and Sequences
INSTRUCTIONAL RESOURCE: Nspire App Tutorial: The Perpendicular Bisectors of a Triangle

INSTRUCTIONAL RESOURCE: Nspire App Tutorial: The Perpendicular Bisectors of a Triangle

In this Slide Show, we show how to construct the perpendicular bisectors of the three sides of a triangle to show they intersect at a single point. This presentation requires the use of the TI-Nspire iPad App. Note: the download is a PPT.

Definition of a Triangle and Geometric Constructions with Triangles
TI Resources

Instructional Resource: TI-Nspire Activity: Constructing and Measuring the Area of a Polygon

In this TI-Nspire Activity, use the Geometry Tools to construct a regular polygon and measure its area using the apothem-perimeter formula. 

Geometric Constructions with Polygons
TI Nspire

Instructional Resource: TI-Nspire Activity: Exploring the Ratio of Circumference to Radius as a Linear Function

In this TI-Nspire Activity, use the Geometry and Graphing Tools to explore the ratio of Circumference to Radius as a linear function. 

Applications of Linear Functions, Applications of Circles and Geometric Constructions with Circles
INSTRUCTIONAL RESOURCE: TI-Nspire App Activity: Constructing an Isosceles Triangle

INSTRUCTIONAL RESOURCE: TI-Nspire App Activity: Constructing an Isosceles Triangle

In this Slide Show, learn how to use the TI-Nspire App to construct an isosceles triangle. Note: The download is a PPT file.

Definition of a Triangle and Geometric Constructions with Triangles
INSTRUCTIONAL RESOURCE: TI-Nspire CX Activity: Graphs of Quadratic Functions

INSTRUCTIONAL RESOURCE: TI-Nspire CX Activity: Graphs of Quadratic Functions

In this Slide Show, learn how to graph quadratic functions in standard form using the TI-Nspire CX. Note: The download is a PPT file.

Applications of Quadratic Functions and Graphs of Quadratic Functions
INSTRUCTIONAL RESOURCE: TI-Nspire CX Activity: The Slope Formula

INSTRUCTIONAL RESOURCE: TI-Nspire CX Activity: The Slope Formula

In this Slide Show, learn how to use the TI-Nspire CX to calculate slope. Note: The download is a PPT file.

Slope