Curated OER
Easy Worksheet: Composition Functions
What should a function instructional activity look like? This demo instructional activity show the type of product that can be made using easyinstructional activity.com. It is composed of 4 problems, composition function of f(g(x)) given...
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...
Illustrative Mathematics
Above and below sea level
Using the real-world example of elevation, above or below sea level, young mathematicians interpret expressions using negative signs, and absolute value. This task provides a good opportunity to discuss the notion of magnitude and...
Brooklyn Museum
"Workt by Hand": Hidden Labor and Historical Quilts
Just like a painting or the symbols on a flag, quilts can express ideas that reflect a cultural context, space, and time. The class discusses the history of quilt making throughout US history and what different types of quilts mean. They...
Illustrative Mathematics
Anna in D.C.
The amount of tax and tip on a restaurant bill is a common example used in percent problems. Here, learners only know the total amount paid, and they need to figure the itemized amounts. Solutions using a ratio table, using knowledge of...
Illustrative Mathematics
Operations on the Number Line
A different way to look at integers is on this number line with variables in place of numbers. Learners are to look at different expressions and describe why they think the answer would be positive or negative, depending on the location...
Illustrative Mathematics
Drinking Juice, Variation 3
It is up to the learner to find the amount of juice originally in a bottle, knowing what fraction of the juice is left, and the amount that has been consumed. The accompanying commentary provides a useful and detailed description of...
Curated OER
Mixing Candies
Mixture problems are a classic in first-year algebra. Unfortunately, many learners approach them in a formulaic fashion and don't truly understand the meaning of the algebraic expressions they are using. Here, the questions are not the...
Lorain County Community College
Review of Fractions
Build your young mathematicians' skills with this activity full of challenging fraction problems. Start small with the basic operations and work their way up to multi-step expressions. A great way to review fractions and test their...
Curated OER
Expanded Notation Poster
Show how numbers can be expanded with this vivid chart expressing different place values. The chart takes four numbers and writes them with expanded notation in their thousands, hundreds, tens, and ones places.
Curated OER
The Customers
Exploring functions not represented by an expression is this task's secret. As your learners organize business customers in a database, they explore the definition of what it is to be a function.
Curated OER
Logistic Growth Model, Explicit Version
Via the concrete setting of estimating the population of the US, your algebra learners are introduced to a logistic growth model. Comparing and contrasting logistic, exponential, linear and quadratic models, to see which fits the data...
University of Utah
Representations of a Line
Line up to learn about lines! Scholars discover how to express patterns as linear functions. The workbook then covers how to graph and write linear equations in slope-intercept form, as well as how to write equations of parallel and...
West Contra Costa Unified School District
Multiple Representations of Equations
class members first work through finding the equation, table of values, graph, and key features of a linear function expressed verbally. Individuals then work through several more problems given different representations.
Balanced Assessment
On Averages and Curves
Determine the average on a curve. The class finds graphical representations of averages and expresses them both symbolically and on the graph. The assessment requires class members to justify using average to describe graphs.
Balanced Assessment
Chance of Survival
Class members determine the chance of surviving two years by explaining the concept of probability expressed in a medical terms. Would-be doctors continue to explain a conditional probability statement as it relates to the total population.
CK-12 Foundation
Scientific Notation: Matching Numbers to Notation
Explore the conversion of numbers to scientific notation and back again. Learners begin with a matching activity to identify equivalent expressions. Then guiding questions test and extend their understanding.
CK-12 Foundation
Exponential Properties Involving Quotients
Watch as exponential expressions expand and contract! An interactive tutorial leads young mathematicians to the discovery of the quotient property of exponents. Through exploration, they realize that an x in the numerator will cancel an...
CK-12 Foundation
Addition of Integers: Polka Dots
What happens when you add negative and positive integers to one another? Do you add or subtract, and will the answer be positive or negative? Young mathematicians use blue and red polka dots to determine the value of an expression that...
CK-12 Foundation
Zero, Negative, and Fractional Exponents: Patterns with Powers
Build a foundational understanding of exponent patterns. Young scholars manipulate the bases of exponent expressions. They discover the meaning of negative exponents through their exploration.
CK-12 Foundation
Multiplying Polynomials: Binomial Cork Board
Cover the cork board with pictures of the house. The interactive provides pictures of a house to duplicate and cover a given area. The pictures' dimensions are expressed as binomials. Pupils determine the area of the cork board based...
CK-12 Foundation
Linear Systems with Addition and Subtraction: XYZ Tiles
Cover it up to reveal the values of variables. Using arrangements of colored tiles representing algebraic expressions, pupils layer them over each other to determine the values of variables. The procedure models the elimination method in...
CK-12 Foundation
Permutations: Podiums
Add a winning resource to your library. A self-paced interactive has users create a sample space for all possibilities of arranging first- and second-place winners on a podium. The results lead to the realization that permutations and...
CK-12 Foundation
Inequalities that Describe Patterns: Freezing Cold Comparison
Don't freeze out the interactive on inequalities from your lesson plans. Young mathematicians use an interactive thermometer and number line to compare freezing temperatures. Inequalities help express these comparisons.
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