EngageNY
Multiplying and Factoring Polynomial Expressions (part 2)
If you can multiply binomials, you can factor trinomials! This is the premise for a instructional activity on factoring. Pupils look for patterns in the binomials they multiply and apply them in reverse. Examples include leading...
101 Questions
Controlling Colors
Control the computer processing speed with mathematics! Scholars use a computer program to graph color-changing functions. Using complex polynomial functions slows the speed of the program, but simplifying the expression allows the...
CPM
Tables, Equations, and Graphs
Eighth and ninth graders solve and graph 24 different problems that include completing input/output tables and graphing the pairs. First, they find the missing values for each table and write the rule for x. Then, students write the...
Mathematics Assessment Project
Skeleton Tower
Who doesn't like building blocks? In the task, pupils use a given diagram of a tower to determine the number of needed blocks. Using this information, pupils then develop a function rule relating the height of the tower to the number of...
CK-12 Foundation
Sequence: The Sequence Calculator
Work through a sequence in discovering number patterns. Using the interactive, pupils explore arithmetic and geometric sequences by setting the initial value and the common difference or ratio. Learners distinguish between the two types...
Concord Consortium
Broken Spreadsheet I
There is power in spreadsheet formulas and learners use this power to model quadratic data. Given a scatterplot of a parabola, pupils create formulas in a spreadsheet to populate the data. The formulas they use lead to an understanding...
Willow Tree
Direct and Inverse Variations
Enhance pupil understanding of proportions and variable relationships by studying direct and inverse variation. Use the idea of a proportional relationship to teach direct variation. Then use a similar pattern to help individuals...
Education Development Center
Points, Slopes, and Lines
Before graphing and finding distances, learners investigate the coordinate plane and look at patterns related to plotted points. Points are plotted and the goal is to look at the horizontal and vertical distances between coordinates and...
CK-12 Foundation
Multiplication of Monomials by Polynomials: Distributing the Monomial
An interactive shows graphically the distribution of a monomial across all the terms in a polynomial multiplication problem. Pupils relate the specific example to a more general problem then make conclusions to develop a pattern for the...
Curated OER
The Algebra of Summation Notation
For this algebra worksheet, students use the summation notation correctly as they solve problems. They define the integral of a function and solve problems involving i. There are 14 questions with an answer key.
Curated OER
Worksheet 6 - Improper Integrals
In this improper integral worksheet, students determine the convergence or divergence of functions. They explore the sequence in the series. This one-page worksheet contains six multi-step problems.
Curated OER
Linear Functions
Fifth graders investigate the concept of a function in relationship to how it is used. The concept is essential for the future study of Algebra. They apply the use of patterns with its relationship to functions.
Curated OER
Patterns, Relations, and Functions
Young scholars investigate the patterns of different data sets of numbers. They use critical thinking skills in order to find the missing numbers in any given set. This lesson helps to develop the skill of number sense.
Curated OER
Patterns and Linear Functions
Young scholars investigate the concept of a linear function. They use geoboards to find the interior angle sums. The sum of the angles is found to equal 180 degrees. Students also investigate quadrilaterals.
Curated OER
Problem Solving Using Pattern Blocks
Learners use pattern blocks to create a figure that is described to them and establish a pattern based on the description of the geometric figure. In this pattern blocks lesson plan, students fill out shape and fraction worksheets.
Curated OER
Polynomial Functions
Students explore polynomial functions. In this Algebra II lesson, students explore graphs of polynomial functions as classify the functions as linear, quadratic, cubic, or quartic. Students determine the regression equation for each...
Curated OER
Algebra and Patterns
In this algebra and patterns practice learning exercise, learners sharpen their problem solving skills as they solve 6 story problems.
Curated OER
Patterns
Students identify patterns in equations. In this algebra lesson, students write equations of problems with recurring patterns. They relate and model real life situation using functions.
Curated OER
Functions in Motion
Pupils graph polynomials functions and analyze the end behavior. In this algebra lesson plan, student differentiate between the different polynomials based on the exponents. They use a TI to help with the graphing.
Curated OER
Leaf Patterns
First graders explore the existence of patterns in everyday items. In this science and math integrated lesson, 1st graders match leaves with a name word card and organize them into four patterns. This lesson includes a reading of And the...
Curated OER
Functions As Equations
In this algebra worksheet, high schoolers use the given values for the functions to create a pattern of solving an equation that is extended into a word problem.
Curated OER
Relations and Functions
In this relations and functions worksheet, learners answer 5 multiple choice questions that involve finding domain and range and function notation.
Curated OER
Geometric & Arithmetic Patterns
Eighth graders explore sequences. They discuss the difference between an arithmetic sequence and a geometric pattern. Students participate in workstation activities where they determine arithmetic or geometric patterns and predict the...
Curated OER
Complex Analysis: Complex Function
In this complex function worksheet students identify the derivative of given functions and explore the rules of differentiation. This two-page worksheet contains explanations and examples, followed by ten problems.