Lesson Plan
Virginia Department of Education

Radical Equations

For Students 9th - 12th Standards
Provide students with the skill for how to examine algebraic and graphical approaches to solving radical equations. Learners solve various radical equations involving square root and cube root expressions. They first solve...
Lesson Plan
EngageNY

Rational Exponents—What are 2^1/2 and 2^1/3?

For Teachers 9th - 12th Standards
Are you rooting for your high schoolers to learn about rational exponents? In the third installment of a 35-part module, pupils first learn the meaning of 2^(1/n) by estimating values on the graph of y = 2^x and by using algebraic...
Assessment
1
1
Balanced Assessment

Number Trick

For Students 9th - 12th Standards
Show your classes the magic of numbers. Using a number trick, learners practice writing algebraic expressions. They then use their expression to perform the trick. Their exploration should help them understand the magic behind the trick.
Lesson Plan
1
1
EngageNY

Dividing by (x – a) and (x + a)

For Students 10th - 12th Standards
Patterns in math emerge from seemingly random places. Learners explore the patterns for factoring the sum and differences of perfect roots. Analyzing these patterns helps young mathematicians develop the polynomial identities.
Lesson Plan
EngageNY

Bacteria and Exponential Growth

For Teachers 9th - 12th Standards
It's scary how fast bacteria can grow — exponentially. Class members solve exponential equations, including those modeling bacteria and population growth. Lesson emphasizes numerical approaches rather than graphical or algebraic.
Lesson Plan
EngageNY

Recursive Challenge Problem—The Double and Add 5 Game

For Teachers 9th - 10th Standards
Math is all fun and games! Use a game strategy to introduce the concept of sequences and their recursive formulas. The activity emphasizes notation and vocabulary.
Lesson Plan
Virginia Department of Education

Nonlinear Systems of Equations

For Students 10th - 12th Standards
Explore nonlinear systems through graphs and algebra. High schoolers begin by examining the different types of quadratic functions and their possible intersections. They then use algebraic methods to solve systems containing various...
Lesson Plan
EngageNY

Integer Exponents

For Teachers 9th - 12th Standards
Fold, fold, and fold some more. In the first installment of a 35-part module, young mathematicians fold a piece of paper in half until it can not be folded any more. They use the results of this activity to develop functions for the area...
Worksheet
Curated OER

Subtract With Unlike Denominators - Practice 5.4

For Students 5th - 6th
Fifth and sixth graders subtract 15 mixed fractions with unlike denominators and reduce each one to their simplest form. They write and solve two subtraction problems for each model shown. Pupils find the value of n in four Algebra...
Lesson Plan
1
1
EngageNY

Properties of Exponents and Radicals

For Teachers 9th - 12th Standards
(vegetable)^(1/2) = root vegetable? The fourth installment of a 35-part module has scholars extend properties of exponents to rational exponents to solve problems. Individuals use these properties to rewrite radical expressions in...
Lesson Plan
West Contra Costa Unified School District

Polynomial Division

For Students 9th - 12th Standards
How do you apply the traditional division algorithm to polynomials? Here is an Algebra II lesson that extends the use of the division algorithm to polynomials. After establishing the concept of long division, synthetic division and the...
Lesson Plan
Curated OER

Another Way of Factoring

For Teachers 8th - 10th Standards
Focusing on this algebra instructional activity, learners relate quadratic equations in factored form to their solutions and their graph from a number of different aspects. In some problems, one starts with the original equation and...
Assessment
Inside Mathematics

Vencent's Graphs

For Teachers 8th Standards
I like algebra, but graphing is where I draw the line! Worksheet includes three multiple-part questions on interpreting and drawing line graphs. It focuses on the abstract where neither axis has numbers written in, though both are...
Lesson Plan
Curated OER

Greatest Common Factor and Factoring by Grouping

For Teachers 11th - Higher Ed
For this Algebra II/college level worksheet, learners factor polynomials by pulling out the GCF and by grouping.  The two page worksheet contains seventy–two problems.  Answers are provided. 
Worksheet
Curated OER

Evaluating Expressions

For Students 8th - 9th
In this evaluating expressions instructional activity, learners solve and complete 50 various types of review problems. First, they complete each sentence and define the listed terms. Then, students evaluate each expression for the given...
Worksheet
Curated OER

Adding and Subtracting Integers: The Symbols + and -

For Students 6th - 8th
This worksheet begins with an explanation of how to add and subtract positive and negative integers. Learners solve and complete 20 different problems that include these types of problems. First, they fill in each blank with the correct...
Lesson Plan
West Contra Costa Unified School District

Families of Functions Sort

For Teachers 8th - 10th
Have some fun with functions with a short activity that asks learners to first sort scatter plot in terms of their correlation. They then sort graphs of different types of functions in terms of key features, such as slope.
Lesson Plan
EngageNY

Part of a Whole as a Percent

For Teachers 7th Standards
Pupils use visual models, numeric methods, and equations to solve percent problems. To complete the second installment of 20, they find the part given the percent and the whole, find the percent given the part and the whole, and find the...
Lesson Plan
Curated OER

Problem Solving Model

For Teachers 6th - 8th
Use a vocabulary chart to introduce math functions. The class defines a list of mathematical vocabulary terms on a worksheet, as well as completes equations and expressions. They examine word problems and practice transcribing them into...
Lesson Plan
West Contra Costa Unified School District

Simplifying Radicals – Day 1

For Teachers 8th - 10th
It doesn't get simpler than this. Scholars first learn to simplify radicals by determining the prime factors of the radicand. The lesson progresses to simplifying radicals involving algebraic expressions in the radicand.
Lesson Plan
EngageNY

Comparing Linear Functions and Graphs

For Students 8th Standards
How can you compare linear functions? The seventh installment of a 12-part module teaches learners how to compare linear functions whose representations are given in different ways. They use real-world functions and interpret features in...
Assessment
1
1
Balanced Assessment

Bumpy-Ness

For Students 9th - 12th
Develop a new measure of the properties of an object. Scholars develop a definition and formula to measure the bumpy-ness of an object. They utilize their formulas to find the property for several spherical objects.
Lesson Plan
Curated OER

Worksheet 9: Trig Functions

For Teachers 12th - Higher Ed
In this math worksheet, students are given 7 problems in which they write expressions for trig functions, compute limits and graph functions.
Lesson Plan
Curated OER

Hyperbolas: Sketching from the Equation

For Teachers 9th - Higher Ed
For this algebra worksheet, students 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.