EngageNY
Negative Exponents and the Laws of Exponents
Apply the properties of exponents to expressions with negative exponents. The fifth activity in the series explains the meaning of negative exponents through an exploration of the properties taught in the previous lessons of the series....
EngageNY
Proofs of Laws of Exponents
Apply pupil understanding of exponent properties to prove the relationships. In the sixth lesson of the series, individuals are expected to prove relationships using mathematical statements and reasoning.
Curated OER
Rational Exponents
Investigate rational exponents in this math instructional activity. Scholars make conjectures about the relationship between rational exponents and radicals. They then use their Ti-Nspire to simplify rational exponents.
Curated OER
Follow the (exponent) Laws!
Students participate in technology-rich activities with the common goal of strengthening Students' understanding of simplifying expressions that involve exponents. They work in heterogeneous groups to discover the laws of exponents.
Education Institute
Four Mathematics Lessons for Grade 9
These four lesson plans build algebra skills for working with numbers in exponential form and for examining triangles. Be aware that in the text, scientific notation is referred to as index notation and the laws of exponents as the laws...
EngageNY
Multiplication of Numbers in Exponential Form
Develop a solid understanding of multiplication and division properties of exponents. Individuals expand exponential terms to discover the patterns and create the properties in the second installment in a series of 15. The activity...
EngageNY
Numbers in Exponential Form Raised to a Power
Develop an understanding of the properties of exponents through this series of activities. This third lesson of 15 explores the patterns associated with the power property. Scholars expand the powers before applying the property.
Virginia Department of Education
Scientifically Speaking
Explore the connection between operations with scientific notation and the laws of exponents. Scholars work on a set of word problems involving operations with scientific notation. Along the way, they consider how the laws of exponents...
EngageNY
Numbers Raised to the Zeroth Power
What in the world is the zeroth power? Examine the patterns of exponents as they apply to the zeroth power. Scholars apply the zero property to simple exponential expressions in this fourth activity in a series of 15. The examples...
EngageNY
Estimating Quantities
Apply the concept of magnitude to estimate values and compare numbers. The ninth activity of the 15-part series asks learners to write numbers to their next greatest power of 10 and then make comparisons. Scholars begin to understand the...
EngageNY
Operations with Numbers in Scientific Notation
Demonstrate the use of scientific notation within word problems. The lesson presents problems with large numbers best represented with scientific notation. Pupils use these numbers to solve the problems in the 11th installment in a...
Mathematics Assessment Project
Representing the Laws of Arithmetic
Sixth graders connect numerical expressions to geometric area. They first complete an assessment task requiring them to identify area models for numerical expressions. Learners then participate in an activity to match area models to...
Curated OER
Newton's Law of Cooling
Your Algebra learners analyze and solve an exponential equation in this popular, real-life model of the cooling of a liquid.
Curated OER
Fractals Teachers' Notes
When you see a flower or a tree in nature do you see the math? This web resource contains many ideas for using fractals in a math class including Sierpinski’s triangle, Koch's Snowflake, and the Jurassic Park Fractal. Additionally, it...
Curated OER
Comparing Exponential and Power Functions
Young scholars compare and contrast exponential and power functions. In this precalculus instructional activity, students identify the value of x, using the graph as a visual. They compare functions with base of greater than one, to base...
EngageNY
Comparison of Numbers Written in Scientific Notation and Interpreting Scientific Notation Using Technology
Examine numbers in scientific notation as a comparison of size. The 14th lesson in the series asks learners to rewrite numbers as the same power of 10 in scientific notation to make comparisons. Pupils also learn how to use a calculator...
Curated OER
Practice Exit Exam - Mat 0024
In this practice exit exam, students complete a variety of basic algebra problems on an Algebra I skill level. They simplify expressions containing variables, factor quadratic equations, find the slope of a line, identify the...
EngageNY
Bacteria and Exponential Growth
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.
Curated OER
TE Activity: The Boxes Go Mobile
Young scholars create a mobile of boxes and cubes that they made in a previous instructional activity that can be accessed from this page. They design the mobile using method that an engineer would use to balance the items based on...
Curated OER
Multiplying Polynomials
Investigate polynomial multiplication with the TI-nspire handheld calculator. Using the applications on this calculator, learners explore multiplication of numbers, binomials, a binomial by a polynomial, and polynomials. The dynamic...
Curated OER
Adding and Subtracting Polynomials
Define, simplify, add, and subtract polynomials. Identify the degrees of a polynomial. Determine if a polynomial is a monomial, a binomial, or a trinomial. Then look at simplifying a polynomial by combining the coefficient values of like...
Curated OER
Factoring Trinomials
Young scholars factor trinomials using specific steps. In this algebra lesson, students factor polynomials following the steps on a smart lesson. They review important vocabulary to help with solving the problems.
Curated OER
Real Number System
Ninth graders discuss the real number system and its' properties. In this algebra lesson, 9th graders discuss rational, irrational, closure, real numbers and the distributive property of algebra. They solve problems using these...
Curated OER
Credit Cards and Compound Interests-Exponential Growth
Eleventh graders investigate the way credit cards work when collecting interest. In this algebra lesson, 11th graders investigate the growth of interest exponentially when using a credit card. They calculate what the cheapest rate is to...