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Illustrative Mathematics
Extending the Definitions of Exponents, Variation 1
Scientist work with negative integer exponents all the time. Here, participants will learn how to relate negative exponents to time and to generate equivalent numerical expressions. Learners will apply the properties of integer exponents...
EngageNY
Exponents
Powered up! Here's a great resource on exponents. Scholars build on their previous understanding of exponents to include all positive real number bases. Distinguishing between an and a^n is a major goal in the fifth lesson plan of a...
Charleston School District
Pre-Test Unit 1: Exponents
How much do you know about exponents? The pre-test covers the concepts of integer exponents with both numerical and algebraic one-variable expressions. The test is also over representing numbers in scientific notation, operating with...
Mathed Up!
Algebra: Indices
Indices and exponents mean the same. Pupils review exponential notation by watching the review video for the General Certificate of Secondary Education math assessment refresher. Scholars then use the activity to show what they know...
Illustrative Mathematics
The Djinni’s Offer
The djinni in this resource offers gold coins. Learners use the properties of exponents to make their decision as one offer increases exponentially. This makes a great group project. As the commentary suggests, start by having groups...
Illustrative Mathematics
Checking a calculation of a decimal exponent
In a writing prompt, learners are asked to check the calculation of a decimal exponent without a calculator. Use as an opener or assessment after studying fractional exponents. Requires a strong understanding of exponents and roots to...
Curated OER
Extending the Definitions of Exponents, Variation 2
Introduce the concept of exponential functions with an activity that extends the definition of exponents to include rational values. Start with a doubling function at integer values of time, then expand table to include frational time...
EngageNY
The Order of Operations
Future mathematicians learn how to evaluate numerical expressions by applying the order of operations. They evaluate similar-looking expressions to see how the location of parentheses and exponents affects the value.
Mathed Up!
Fractional and Negative Indices
Explore how to deal with fractional and negative exponents. Scholars watch a video reviewing fractional, zero, and negative exponents. After the video, they test their skills by completing a activity covering the concepts.
EngageNY
Writing and Evaluating Expressions—Exponents
Bring your young mathematicians into the fold. Scholars conduct an activity folding paper to see the relationship between the number of folds and the number of resulting layers in the 23rd installment of a 36-part module. The results of...
EngageNY
Mid-Module Assessment Task: Grade 8 Module 1
Assess your young mathematicians' knowledge and understanding of the properties of exponents. The questions in the seventh lesson of 15 incorporate the properties learned in the first six modules of this series. Individuals use and apply...
CCSS Math Activities
Smarter Balanced Sample Items: 8th Grade Math – Target B
Develop a radical approach to covering the Smarter Balanced targets for 8th grade math with a presentation that helps further develop math skills. Seven sample items demonstrate the expectation for working with integer exponents,...
CCSS Math Activities
Smarter Balanced Sample Items: High School Math – Target A
Don't get irrational about rational exponents. A PowerPoint presentation highlights the sample high school questions from the Smarter Balanced Assessment Consortium (SBAC) Claim 1 Target A item specifications. As one part of a larger...
CCSS Math Activities
Smarter Balanced Sample Items: 8th Grade Math – Claim 3
Communication is the key. A dozen sample items require scholars to communicate their reasoning involved in arriving at a solution. The PowerPoint from the Gr. 8 Claim 2 - 4 Item Slide Shows series uses a variety of content to...
CCSS Math Activities
Smarter Balanced Sample Items: High School Math – Target E
Pupils rewrite expressions in equivalent forms to identify key features. They use the vertex and factored forms of quadratic expressions to identify the extrema and intercepts. To finish the installment of the Claim 1 Item Slide Show...
Illustrative Mathematics
Giantburgers
What is a million between friends? This fast food chain claims to serves a certain percentage of Americans every day. The resource agrees, but depending on how you calculate it, you could be a million off. Let your fast food munchers be...
Illustrative Mathematics
Watch out for Parentheses
It is important for the algebra learner to understand the use of parentheses. Mathematicians of all levels can make errors with nested parentheses. This will give them some practice. It makes for a good class starter or quick assessment.
Illustrative Mathematics
Exponentials and Logarithms I
This task focuses on using the verbal definition of the logarithm to understand that a logarithm is an exponent. Learners complete six computational exercises using the inverse properties of logs and exponents and answer two...
Illustrative Mathematics
Exponentials and Logarithms II
Learners are given a logarithmic function and its inverse exponential function. The task, which is to graph both compositions of the two functions, uses the inverse nature of exponents and logarithms to generalize about the properties of...
Concord Consortium
Defining Logarithms
An inverse relationship exists between exponents and logarithms, allowing mathematicians to easily convert one to the other. Scholars apply a brief definition of logarithms with a few practice problems. Then, they discover the...
Los Angeles County Office of Education
Assessment for the California Mathematics Standards Grade 7
In need of an all-inclusive seventh grade math resource? Packed full of the topics necessary for Pre-Algebra the packet includes practice problems with different difficulty levels. It works great for any supplemental use needed...
EngageNY
Mid-Module Assessment Task - Algebra 2 (Module 3)
The 15th installment of a 35-part module is a mid-module assessment task. Covering concepts in the first half of the module, the task acts as a formative assessment, providing you with valuable information on how learners are doing.
EngageNY
Exploiting the Connection to Trigonometry 2
The class checks to see if the formula for finding powers of a complex number works to find the roots too. Pupils review the previous day's work and graph on the polar grid. The discussion leads the class to think about...
EngageNY
Exploiting the Connection to Trigonometry 1
Class members use the powers of multiplication in the 19th installment of the 32-part unit has individuals to utilize what they know about the multiplication of complex numbers to calculate the integral powers of a complex...
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