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Mathematics Vision Project
Module 3: Polynomial Functions
An informative module highlights eight polynomial concepts. Learners work with polynomial functions, expressions, and equations through graphing, simplifying, and solving.
EngageNY
Multiplying Polynomials
There's only one way to multiply, right? Not when it comes to polynomials. Reach each individual by incorporating various representations to multiplying polynomials. This instructional activity approaches multiplying polynomials from all...
CK-12 Foundation
Factoring by Grouping: Polynomials
Investigate the process of factoring polynomials by grouping. A detailed lesson initially has learners follow a set-by-step example. They then drag terms to complete the three steps of a new problem.
CK-12 Foundation
Zero Product Principle
Some lessons feature videos, some interactive practice problems, and some have notes and activities. This comprehensive look at factoring and solving polynomial equations using the zero product principle has all of this and more. Though...
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,...
Willow Tree
Solving Quadratic Equations
Polynomials are full of solutions! Learners understand that the degree determines the number of solutions. Examples show quadratic equations solved by factoring and by using the quadratic formula. A cubic equation is even mixed in for...
Mathematics Vision Project
Module 3: Numbers and Operations
Bring some concrete reasoning to the skills of multiplying and combining terms. Using various strategies, the six activities in the module provide practice for the skills of adding, subtracting, multiplying, and diving polynomials. The...
CK-12 Foundation
Sum and Difference of Cubes: Stacking Blocks
Investigate polynomial factoring patterns by finding a connection to volume. As learners build a three-dimensional solid from smaller solids, they convert the visual model to a mathematical expression. Their models represent the sum of...
EngageNY
Multiplying and Factoring Polynomial Expressions (part 2)
If you can multiply binomials, you can factor trinomials! This is the premise for a lesson on factoring. Pupils look for patterns in the binomials they multiply and apply them in reverse. Examples include leading coefficients of one...
Benjamin Franklin High School
Saxon Math: Algebra 2 (Section 9)
Section 9 of the 12 linked Saxon Math sections introduces the young algebrist to graphing periodic functions, creating graphs from quadratic roots, working with inequalities, and rational equations. Common among all the lessons is the...
EngageNY
The Structure of Rational Expressions
Find out when rational expressions are closed. Pupils review adding, subtracting, multiplying, and dividing with rational numbers to make the connections to operations with rational expressions. Using specific examples, learners notice...
Virginia Department of Education
Exponents
Expand your knowledge of exponents with an activity that promotes critical thinking and comparison skills. Middle and high schoolers compare numbers written in expanded and exponential form and explain their strategies for solving...
CK-12 Foundation
Linear, Exponential, and Quadratic Models: Bernoulli Effect
How can an object as heavy as an airplane fly? Turns out the answer is quadratic! Your classes explore the Bernoulli Effect through an interactive graph representation. As a plane increases in speed, the lift force also increases. Young...
EngageNY
Relationships Between Quantities and Reasoning with Equations and Their Graphs
Graphing all kinds of situations in one and two variables is the focus of this detailed unit of daily lessons, teaching notes, and assessments. Learners start with piece-wise functions and work their way through setting up and solving...
Shodor Education Foundation
InteGreat
Hands-on investigation of Riemann sums becomes possible without intensive arithmetic gymnastics with this interactive lesson plan. Learners manipulate online graphing tools to develop and test theories about right, left, and...
Mathematics Vision Project
Module 7: Modeling with Functions
The sky's the limit of what you create when combining functions! The module begins with a review of transformations of parent functions and then moves to combining different function types using addition, subtraction, and...
EngageNY
Complex Numbers and Transformations
Your learners combine their knowledge of real and imaginary numbers and matrices in an activity containing thirty lessons, two assessments (mid-module and end module), and their corresponding rubrics. Centered on complex numbers and...
Virginia Department of Education
Rational Expressions
Demonstrate the progression of operations with rational expressions through a multi-day lesson, equipped with worksheets for each day. High schoolers develop the concepts needed to perform operations with rational expressions....
EngageNY
Graphing Quadratic Functions from Factored Form
How do you graph a quadratic function efficiently? Explore graphing quadratic functions by writing in intercept form with a lesson that makes a strong connection to the symmetry of the graph and its key features before individuals write...