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National Security Agency
Multiple Representations of Limits
After an introductory activity to demonstrate the theory of a limit, additional activities approach a limit from graphical, numerical, and algebraic methods. The activity looks at the multiple ways of understanding and evaluating a...
Illustrative Mathematics
Find the Change
This exercise is an opportunity for algebra learners to understand the connection between the slope of a line and points found on the line. Use similar triangles to explain why slope m is the same between any two points. Discuss with the...
Illustrative Mathematics
Kimi and Jordan
Kimi and Jordan have taken summer jobs to supplement their weekly allowances. Kimi earns more per hour than Jordan, but Jordan's weekly allowance is greater. This activity asks students to determine how the incomes of the two workers...
EngageNY
Rational Exponents—What are 2^1/2 and 2^1/3?
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...
Curated OER
Dental Impressions
What an impressive task it is to make dental impressions! Pupils learn how dentists use proportional reasoning, unit conversions, and systems of equations to estimate the materials needed to make stone models of dental impressions....
Curated OER
A Model Solar System
If Earth is modeled by a grapefruit, what planet could be represented by a golf ball? This activity uses everyday and not-so-everyday objects to create a model of the Solar System.
EngageNY
Modeling Relationships with a Line
What linear equation will fit this data, and how close is it? Through discussion and partner work, young mathematicians learn the procedure to determine a regression line in order to make predictions from the data.
Curated OER
Polynomials
In this worksheet, learners solve and complete 32 various types of problems. Included are problems on simplifying polynomials, factoring, graphing equations by plotting points, and simplifying expressions using the rules of...
Curated OER
Integer Solutions to Inequality
When is the last time you assigned your learners only one problem? This seemly simple problem requires learners think like a mathematician and reason about how to solve this compound inequality in one variable. More than just using...
Georgia Department of Education
Analytic Geometry Study Guide
Are you looking for a comprehensive review that addresses the Common Core standards for geometry? This is it! Instruction and practice problems built specifically for standards are included. The material includes geometry topics from...
Willow Tree
Line Graphs
Some data just doesn't follow a straight path. Learners use line graphs to represent data that changes over time. They use the graphs to analyze the data and make conclusions.
California Education Partners
Speedy Texting
Model the effects of practice on texting speed. Pupils develop a linear equation that models the change in texting speed based on the amount of practice. The sixth performance task in an eight-part series requires learners to solve...
Concord Consortium
Center of Population
Let the resource take center stage in a lesson on population density. Scholars use provided historical data on the center of the US population to see how it shifted over time. They plot the data on a spreadsheet to look the speed of its...
Curated OER
Using the TI-83 to Evaluate Sequences
In this evaluating sequences worksheet, students use the TI-83 graphing calculator to evaluate sequences. Instructions on how to use the calculator with these type of problems is provided. There are three problems on this one-page...
Curated OER
Linear Algebra
In this linear algebra worksheet, learners solve 3 different sets of problems that include rank, dimension, nullspace and range of linear algebra. They determine the relation between the rank of a matrix and the dimension of its range....
Curated OER
Lab Sheet: Exponential Growth and Decay
In this exponential learning exercise, students gather information from an experiment and plot the data in a scatter plot. Using given formulas, they plot an equation of a line and then compare the graphs. Students observe exponential...
Curated OER
Chapter 8 Review: Exponential Growth
In this exponential growth worksheet, learners find the exponential growth and exponential decay of given situations. They simplify problems with exponents and evaluate logarithms. This four-page worksheet contains 23 multi-step problems.
Curated OER
Calculating Total Amount of Homework Done
In this exponential growth problem, learners calculate the total number of hours of homework done in a thirty-six week period if she does one second of homework the first week and doubles that every week. Students need to take into...
Curated OER
Integrated Algebra Practice: Exponential Growth
In this exponential growth instructional activity, high schoolers solve 4 short answer and multiple choice problems. Students determine the population of a city after a given amount of time.
Curated OER
Word Problem Primer
In this word problem worksheet, students are given directions and guidance as to how to solve word problems. They are given the variables used in word problems, the math codes, how to change letters into formulas and 5 steps to solving...
Curated OER
Estimating Pi as a Length
In this pi worksheet, students evaluate the curve of a quarter of a circle. They analyze the length of the curve, and explain that if the area under the curve is equal to pi, the length of the curve above is also equal to pi. Students...
Curated OER
Quadratic Equations
In this algebra worksheet uses factoring to solve and graph quadratic equations. The three page worksheet contains explanation of topic, worked examples and five practice problems. Answers are not provided.
Curated OER
Surface Area of a Leaf (Grades 7-9)
In this math and science worksheet, students read about the process of photosynthesis and plant growth. They determine how a plant's ability to create food is dependent on the surface area of its leaves using geometric calculations. They...
Curated OER
Algebra and Patterns
In this algebra and patterns practice worksheet, students sharpen their problem solving skills as they solve 6 story problems.