Curated OER
Translation of Shapes
Geometers graph figure translations, find coordinates for transformed figures, and write rules to describe transformations presented. The 2-page instructional activity contains 14 problems, with answer key attached.
EngageNY
Perimeter and Area of Polygonal Regions Defined by Systems of Inequalities
When algebra and geometry get together, good things happen! Given a system of inequalities that create a quadrilateral, learners graph and find vertices. They then use the vertices and Green's Theorem to find the area and perimeter of...
EngageNY
Comparing Quadratic, Square Root, and Cube Root Functions Represented in Different Ways
Need a real scenario to compare functions? This lesson has it all! Through application, individuals model using different types of functions. They analyze each in terms of the context using the key features of the graphs.
Curated OER
Building a General Quadratic Function
Learners rewrite a general quadratic function by completing the square to see a new form of the function that more easily identifies the x-coordinate of the vertex and the two roots of the function.
Illustrative Mathematics
Building an Explicit Quadratic Function by Composition
Use an activity to illustrate the different forms of a quadratic function. Here, the task asks learners to use composition of given functions to build an explicit function. The process emphasizes the impact of the order of...
Curated OER
Maximizing and Minimizing the Area of Rectangles Given a Fixed Perimeter
Students explore the realms of measurement. In this math lesson plan, students analyze and solve problems in which rectangles with identical perimeters are compared to maximize or minimize area. This activity can be extended for algebra,...
Curated OER
Exploring Geometric Figures
Tenth graders explore mathematics by participating in hands-on daily activities. Learners identify a list of different shapes and classify them by shape, size, sides and vertices. They utilize tangrams and geometric pieces to gain...
Curated OER
Thinking Outside the Box
Now this lesson sounds fun! Students throw a ball, film it as it soars through the air, and use a spreadsheet to collect data. A scatterplot is created to produce a quadratic regression equation, an equation in vertex form, and an...
Mathematics Vision Project
Module 7: Structure of Expressions
The structure of an expression is a descriptive feature. Learners build a solid understanding of quadratic functions using an analysis of expressions in different forms. The seventh module in a series of nine includes 12 lessons...
Curated OER
Tracing Worksheet
In this geometry worksheet, students explore graphing characteristics. Students complete seven short answer and problem solving questions about graphing and whether or not one can be traced.
Curated OER
Quadratic Functions
Students graph quadratic equations on paper and check their results on the graphing calculator. They predict the direction of the graph and the vertex point. Students use the vertex, axis of symmetry and knowledge of which direction the...
Curated OER
Parabola with Horizontal Directrix
Young scholars find the vertex, directrix, and focus of a parabola. They graph parabolic functions and solve application problems involving parabalas.
Curated OER
Parabola With Horizontal Directrix
Students find the vertex, directrix, and focus of a parabola and graph parabolic functions. They solve problems involving parabolas after a demonstration lesson plan by the teacher.
Curated OER
Lesson 5: The Quadratic Formula
Pupils plot quadratic curves to distinguish how different values of a affect a graph. They solve quadratic equations by completing the square. Student's recognize the connection between the roots and the corresponding graph's...
Curated OER
Algebra II Calculator Lab
In this quadratic functions worksheet, students use their graphing calculators to solve the 9 problems on the page. The questions ask students to graph functions, compare graphs, find the vertex and axis of symmetry and more.
Curated OER
Properties of a Parabola
In this algebra learning exercise, students identify the properties of a parabola. They factor and graph quadratic equations. There are 18 questions.
Curated OER
Linear Inequalities - Parallelogram Problem
Young scholars use the Geometer's Sketchpad to illustrate possible answers to a parallelogram problem. As a class, they discuss the point-slope and linear equation forms. Individually, students solve their equations and check the...
Curated OER
Horizontal parabolas
In this horizontal parabola worksheet, high schoolers draw the graph for the horizontal parabola given to them. Students complete 10 problems.
Curated OER
Additional Practice Problems with Skills for Quadratic Functions and Equations
Challenge your students' graphing and factoring skills with these sets of problems for quadratic functions and equations. Here, kids plot the y-intercept and vertex of 7 parabolas. They factor and solve 9 quadratic equations. Students...
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...
Curated OER
Parabolas
In this parabolas worksheet, students solve and complete 12 different types of problems. First, they draw a sketch of each equation shown. Then, students write the vertex form of each graph on the line provided.
Curated OER
Parabola
In this parabolas worksheet, 10th graders solve and graph 12 different problems related to various types of parabolas. First, they determine the vertex and the y-intercept based on the graph illustrated for each. Then, students write a...
Curated OER
Transforming Parabolas
For this Algebra II worksheet, 11th graders examine the affects of changing h and k in the vertex form of the parabola. The three page worksheet provides explanation of topic, worked examples, and four practice problems. ...
Curated OER
Writing in the Math Classroom
Learners determine the vertex, y-intercept and direction of a parabola and write an explanation of how to graph a parabola. They collect and graph data using a calculator.