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.
Concord Consortium
Gravity
Weight is a function of the distance from sea level. Learners explore the many implications of this fact in an inquiry-based task. Given the function, pupils answer questions before manipulating the function to rewrite the distance from...
Illustrative Mathematics
Transforming the graph of a function
This activity guides learners through an exploration of common transformations of the graph of a function. Given the graph of a function f(x), students generate the graphs of f(x + c), f(x) + c, and cf(x) for specific values of c. The...
Curated OER
Effects of Parameter Changes
Students define properties of a quadratic equation. In this algebra lesson, students graph and factor quadratic functions. They write equations for polynomials, given a graph.
EngageNY
Polynomial, Rational, and Radical Relationships
This assessment pair goes way beyond simple graphing, factoring and solving polynomial equations, really forcing learners to investigate the math ideas behind the calculations. Short and to-the-point questions build on one another,...
Inside Mathematics
Number Towers
Number towers use addition or multiplication to ensure each level is equal. While this is common in factoring, it is often not used with algebraic equations. Solving these six questions relies on problem solving skills and being able to...
Curated OER
Hyperbolas: Sketching from the Equation
In this algebra worksheet, young scholars sketch graphs of hyperbolas after solving equations to standard form and interpreting the center, vertices, foci, axis, asymptotes, and eccentricity from the equation. There are 58 questions.
Curated OER
Minimum and Maximum of a Graph
Students find the solutions of polynomials through graphing. In this algebra instructional activity, students identify the maximum and minimum of each polynomial function. They ind the vertex, domain and range of a parabola.
Curated OER
Linear Functions
In this algebra worksheet, students identify and label functions as linear or not. They find the domain and range of each function. There are 15 multiple choice questions.
Curated OER
Rational Equations
For this algebra worksheet, students find the common denominator for 8 problems so they can solve for x. The rational equations include binomial expressions as denominators for 5 of the problems.
Curated OER
Applications of Parabolas
In this algebra worksheet, 11th graders rewrite word problems using algebraic symbols. They relate parabolas to the real world and calculate the breaking distance using the distance formula they come up with. There is answer key.
Curated OER
Mathematics B: High School Exam
In this mathematics worksheet, students solve problems about numerous high school topics including trigonometry, algebra, and pre-calculus. This worksheet contains, but is not limited to, radicals, inverse functions, transformations, and...
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
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
Surface Area of a Leaf (Grades 7-9)
In this math and science worksheet, students read about the process of photosynthesis and plant growth. They determine how a plant's ability to create food is dependent on the surface area of its leaves using geometric calculations. They...
Curated OER
Celsius to Fahrenheit
Students convert degrees between two different units. In this algebra instructional activity, students graph linear equations and identify the line of best fit. They use their line of best fit to make predictions given a set of data.
Curated OER
Sequences and Linear Equations
Students identify the formula to find the nth term. For this algebra lesson, students finish a pattern and identify missing parts in a sequence. They write an equation given a partial sequence.
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...
Concord Consortium
Painted Stage
Find the area as it slides. Pupils derive an equation to find the painted area of a section of a trapezoidal-shaped stage The section depends upon the sliding distance the edge of the painted section is from a vertex of the trapezoid....
Curated OER
Theorems About Roots and Polynomial Equations
In this algebra worksheet, students solve polynomial equations using factoring. They identify the roots of the equations. There are 3 questions with an answer key.
Curated OER
Growing Circles
Students identify the equation to represent a circle. For this algebra lesson, students review properties of conics and how they are related. they use a robot to create a visual of circles and their application to the real world.
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...