Curated OER
Parabolas
Students find equations of parabolas in real world scenarios. In this finding equations of parabolas in real world scenarios lesson, students find the equations of parabolas of US landmarks. Students put a grid on landmarks such as the...
Curated OER
Tilted Squares and Right Triangles
Students investigate squares. They generate patterns from structured situations and find a rule for the general term and express it using words and symbols. Students generate patterns from a rule and substitute values and formulas.
Curated OER
Discriminant Testing
The class works to identify solutions using the discriminant.They use part of the quadratic formula to find the number of solutions a quadratic equation will have. They calculate how-many times the quadratic function will cut the x-axis....
Curated OER
Multiply Polynomials
Learners solve polynomial problems. In this algebra lesson, students multiply polynomial equations using FOIL and quadratic formula. They complete the square and factor by grouping.
EngageNY
Overcoming Obstacles in Factoring
What do you do when factoring doesn't work? Learners complete the square when faced with quadratic expression that don't factor traditionally. They then use factoring by grouping to solve polynomial equations.
Curated OER
Effects of Parameter Changes
Pupils define properties of a quadratic equation. In this algebra instructional activity, students graph and factor quadratic functions. They write equations for polynomials, given a graph.
EngageNY
Stretching and Shrinking Graphs of Functions
Why is that graph wider? Pupils learn about stretching and shrinking graphs of square root, absolute value, cubic, and quadratic functions. They study both vertical and horizontal stretches and shrinks in addition to reflections.
EngageNY
Modeling with Polynomials—An Introduction (part 2)
Linear, quadratic, and now cubic functions can model real-life patterns. High schoolers create cubic regression equations to model different scenarios. They then use the regression equations to make predictions.
Curated OER
Ict Activity 22
Students use Excel to solve quadratic equations by trial and improvement. They enter formulas and try different solutions to improve their solutions more quickly. Afterwards, they report the solutions to different levels of accuracy.
Curated OER
Connecting Factors and Zeros
In this Algebra II lesson, students explore the connection between the factored form of a quadratics and the zero of a function. Students use a graphing calculator to verify factoring numerically and graphically.
Virginia Department of Education
Solve for the Unknown
How can shapes help solve literal equations? Scholars first learn to replace variables with shapes to aid in solving literal equations. A worksheet of practice problems helps hone the skill.
Curated OER
Review Graphing Parabolas & Circles
Students review how to graph parabolas. They practice graphing two different parabolas using the vertex and table method. They solve problems related to graphing circles, determining the radius and the center.
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 are designed for business applications and require complex algebraic expressions.
Curated OER
Get Your Numbers in Shape - TI-83
High Schoolers use the TI-83 calculator to produce a sequence, explore patterns and find a linear or quadratic equation for a given pattern. They use inductive reasoning to make conjectures about patterns. They find the Y-value of a...
Curated OER
Regents High School Examination: Integrated Algebra
In this integrated algebra worksheet, students answer 39 questions in preparation for the Regents High School Examination. Students solve problems about various topics in algebra and algebra II including quadratics, systems of...
Curated OER
Exploring Geometric Constructions of Parabolas
Middle schoolers are introduced to the construction geometrically of parabolas. Using a software program, they identify lines, segments and midpoints. They label the parabolas properties and characteristics and use a formula to...
EngageNY
Informal Proof of the Pythagorean Theorem
Prove the Pythagorean Theorem using multiple informal proofs. Scholars first develop an understanding of the origins of the Pythagorean Theorem through proofs. They round out the lesson by using the theorem to find missing side lengths...
Curated OER
Sequences and Linear Equations
Students identify the formula to find the nth term. In this algebra lesson, students finish a pattern and identify missing parts in a sequence. They write an equation given a partial sequence.
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
Translation and Rotation of Axes
Students rotate axes to eliminate the xy-term and illustrate the dissectible cone as needed. They also discuss the discriminant for the second degree equation in two variables, as well as the translation of axes and rotation of axes....
Curated OER
Lesson #158 Translation and Rotation of Axes
Young scholars practice with the discriminant. In this translation and rotation instructional activity students view a dissectible cone and discuss the discriminant for the second detree equation. They follow the examples from the...
Curated OER
Minimum and Maximum of a Graph
Students find the solutions of polynomials through graphing. In this algebra lesson, students identify the maximum and minimum of each polynomial function. They ind the vertex, domain and range of a parabola.
Curated OER
Parabolas in Flight
Students utilize a trajectory formula in order to discover the physics of a thrown ball. In this physics lesson plan, students videotape the trajectory of a thrown ball or basketball shot and analyze the action by breaking the video...
Curated OER
Square and Triangular Numbers
Students use equations to represent practical situations. They solve linear equations and quadratic equations. The use of problem solving strategies is also developed.
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