Lesson Plan
Illustrative Mathematics

Extending the Definitions of Exponents, Variation 1

For Teachers 7th - 9th Standards
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...
Assessment
1
1
CCSS Math Activities

Smarter Balanced Sample Items: 8th Grade Math – Claim 3

For Teachers 8th Standards
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...
Assessment
CCSS Math Activities

Smarter Balanced Sample Items: High School Math – Target E

For Students 9th - 12th Standards
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...
Assessment
EngageNY

Mid-Module Assessment Task: Grade 8 Module 1

For Students 8th Standards
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...
Activity
Curated OER

Extending the Definitions of Exponents, Variation 2

For Teachers 9th - 12th Standards
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...
Lesson Plan
Illustrative Mathematics

The Djinni’s Offer

For Teachers 5th - 7th Standards
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...
Assessment
EngageNY

Mid-Module Assessment Task - Algebra 2 (Module 3)

For Teachers 10th - 12th Standards
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.
Assessment
Mathed Up!

Algebra: Indices

For Students 7th - 9th Standards
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...
Assessment
Achieve

Spread of Disease

For Students 9th - 12th Standards
Viruses can spread like wildfire, and mathematics can model the speed of infection. Given a function, scholars analyze it to describe the spread of a disease within a stadium. Learners find the initial number infected and the maximum...
Assessment
1
1
CCSS Math Activities

Smarter Balanced Sample Items: 8th Grade Math – Target B

For Teachers 8th Standards
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,...
Assessment
Los Angeles County Office of Education

Assessment for the California Mathematics Standards Grade 7

For Students 6th - 8th Standards
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...
Activity
Illustrative Mathematics

Checking a calculation of a decimal exponent

For Teachers 9th - 12th Standards
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...
Assessment
Los Angeles County Office of Education

California State Standards: Algebra I

For Students 8th - 10th Standards
Starting a year of Algebra I? This mighty packet practices all of the major topics with different ranges of difficulty. Standards include everything from linear to quadratic to rational expressions. Use it in a...
Lesson Plan
Curated OER

Forms of Exponential Expressions

For Teachers 9th - 12th Standards
Your young physicists analyze the forms of four equivalent exponential expressions representing an amount of a radioactive material in a substance. They show how each expression is equivalent to the others and what aspects of the decay...
Assessment
1
1
Balanced Assessment

Smaller, Larger, In-Between

For Students 7th - 12th Standards
Build a solid understanding of rational number relationships by asking class members to use various skills to order decimals, fractions, and numeric power expressions. Using the resource, they find that the fractions do not have an...
Assessment
CCSS Math Activities

Smarter Balanced Sample Items: High School Math – Target A

For Students 9th - 12th Standards
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...
Assessment
EngageNY

End-of-Module Assessment Task - Algebra 2 (Module 3)

For Teachers 10th - 12th Standards
The last installment of a 35-part series is an assessment task that covers the entire module. It is a summative assessment, giving information on how well pupils understand the concepts in the module.
Assessment
CCSS Math Activities

Smarter Balanced Sample Items: 6th Grade Math – Target E

For Teachers 6th Standards
When US citizens travel throughout the world, they often need to know how to convert temperatures from Fahrenheit to Celsius. Young mathematicians practice applying the formula as well as other algebraic equations as part of a...
Assessment
Inside Mathematics

Magic Squares

For Teachers 9th - 12th Standards
Prompt scholars to complete a magic square using only variables. Then they can attempt to solve a numerical magic square using algebra. 
Activity
Illustrative Mathematics

Exponentials and Logarithms I

For Teachers 8th - 12th Standards
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...
Activity
Illustrative Mathematics

Exponentials and Logarithms II

For Teachers 8th - 12th Standards
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...
Assessment
EngageNY

Mid-Module Assessment Task: Grade 6 Math Module 4

For Students 6th Standards
Halfway through the module — the perfect time for an assessment. The 18th installment of a 36-part series is a mid-module assessment. Scholars provide evidence of understanding through various mathematical and contextual problems.
Activity
Illustrative Mathematics

Ants Versus Humans

For Teachers 7th - 9th Standards
You would think that humans make up more mass than ants do on this planet, but think again, and this time by performing calculations. Middle schoolers use scientific notation to compute and compare the estimated total mass of all humans...
Unknown Type
Khan Academy

Khan Academy: Properties of Exponents (Rational Exponents)

For Students 9th - 10th Standards
Rewrite exponential expressions (where the exponent can be a fraction) using the properties of exponents. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.