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Curated OER
The Quadratic Formula
Students solve quadratic function by completing the square. In this algebra lesson plan, students use the quadratic formula to factor quadratics and find the roots. They graph the parabola and identify its properties.
New York State Education Department
Regents High School Examination, Integrated Algebra 2010
In this integrated algebra worksheet, learners solve problems involving systems of equations, quadratic equations, inequalities, surface area, and radicals. This 28-page worksheet contains 39 multi-step problems.
Curated OER
Graphing System of Equations
Students solve system of equation. In this algebra instructional activity, students graph, substitute and eliminate to solve system of equation. They identify the point of intersection and how many solution each system will have.
Curated OER
Relating Distance and Velocity Over Time
Students calculate the distance and velocity over time. In this algebra lesson, students graph a linear function to represent the distance vers time travel. They interpret their graphs and draw conclusion.
Curated OER
Conjectures and Conclusions
Students draw conclusions and make conjectures given a specific scenario. In this geometry instructional activity, students model real life scenarios using properties of triangles. They model number facts and explain why the outcome is...
Curated OER
Parabolas
Learners investigate parabolas and their equations. In this parabolas and their equations lesson plan, students graph quadratic equations on their graphing calculator. Learners find the axis of symmetry of a parabola. ...
Curated OER
Further Differentiation
For this further differentiation worksheet, students solve and complete 7 various types of problems. First, they sketch the graph of each equation using a stationary point. Then, students find the stationary points of each and describe...
Curated OER
Final Exam Review: College Algebra
In this final exam review instructional activity,s students solve systems of equations, polynomials and factor quadratic equations. They identify the slope of a line and write linear equations. Students use Cramer's rule,...
Curated OER
Graphs
In this algebra worksheet, students calculate the point of intersection between a circle and a straight line. There are 5 questions with an answer key.
Curated OER
Piecewise Modeling with Multiple Functions: Federal Debt
Pupils analyze data on debt and write an equation. In this statistics lesson, students are given data from different time periods, and are asked to graph and analyze the data. They work in groups, and are assigned different parts of the...
Curated OER
Quadratics: Polynomial Form
Students determine how to use the polynomial form of a quadratic equation to find the location of the vertex on a graph. They determine how changes in the coefficients in a quadratic function affect its vertex on a graph. Students find...
Curated OER
Activity 11: Family of Functions
Students investigate linear, quadratic, and absolute value functions. In this Algebra II lesson, students observe and describe family traits that exist among functions as they use technology to graph several functions on the same...
Curated OER
Find Minimum and Maximum
Learners engage in a lesson about finding the values of different graphs written in the vertex form. They rewrite each quadratic equation in vertex form while graphing the equation with the visual display of a parabola that matches the...
EngageNY
Modeling a Context from Data (part 1)
While creating models from data, pupils make decisions about precision. Exercises are provided that require linear, quadratic, or exponential models based upon the desired precision.
Concord Consortium
Looking through a Window
Here's a window into graphing calculators. Scholars use a graphing calculator to plot a quadratic function. They then adjust the window to make the graph look like that of a linear function and must recreate given graphs.
Inside Mathematics
Population
Population density, it is not all that it is plotted to be. Pupils analyze a scatter plot of population versus area for some of the states in the US. The class members respond to eight questions about the graph, specific points and...
Intel
Choreographing Math
Leaners investigate families of linear functions through dance. They choreograph dance moves to model nine unique linear functions of their choosing. Using their dance moves, teams create a video presentation complete with music and...
Concord Consortium
Look but Do Not Touch
We seem to keep missing each other. A short task provides pupils with a quadratic function, as well as a linear function with a missing coefficient. They must determine the value of the coefficient for which the graphs do not intersect.
Mathematics Vision Project
Module 8: Modeling With Functions
Sometimes there just isn't a parent function that fits the situation. Help scholars learn to combine function types through operations and compositions. Learners first explore a new concept with an introductory activity and then follow...
EngageNY
Modeling a Context from a Verbal Description (part 1)
When complicated algebraic expressions are involved, it is sometimes easier to use a table or graph to model a context. The exercises in this lesson plan are designed for business applications and require complex algebraic...
Curated OER
Transformations and Exponential Functions
Tenth graders study graphing exponential functions. For 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...
Virginia Department of Education
The Exercise Fields
Horses need exercise, too. Scholars create linear equations to model the perimeter of exercise fields for horses. They finish by solving their equations for the length and width of the fields.
Curated OER
Finding Patterns and Graphing Functions
Students investigate patters for area and perimeter. In this Algebra I/Geometry lesson, students explore two different patterns as they write a formula for the nth term of each pattern. Students graph their results and determine if the...
Curated OER
Quadratics: vertex form
Students practice graphing quadratic equations to find the vertex of quadratic functions. They determine if the graph opens upward or downward as well as convert quadratic equations to vertex form from polynomial form. A lab version is...