Flipped Math
Sequences
Develop a sequence of descriptions. Learners watch an introduction to sequences, their notations, and how to graph them. Pupils use full sentences to describe the sequence and how to get from one term to the next, without needing to...
Illustrative Mathematics
Downhill
A car traveling down a steep hill is the model for this resource. The confusion comes when the elevation, E, is given in terms of distance, d. The distance, d, is the horizontal distance from E. Therefore, the equation, E = 7500 – 250d,...
Curated OER
Analyzing Data Sets
For this analyzing data sets worksheet, 11th graders solve and complete 35 various types of problems that include the analysis of data given. First, they determine the equation that best describes the data shown in a table. Then,...
Curated OER
Difference of Equations
In this difference of equations worksheet, students solve and complete 49 various types of problems. First, they obtain the solution of any linear homogeneous second order difference equation. Then, students apply the method of solution...
Noyce Foundation
Toy Trains
Scholars identify and continue the numerical pattern for the number of wheels on a train. Using the established pattern and its inverse, they determine whether a number of wheels is possible. Pupils finish by developing an algebraic...
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...
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 and...
Inside Mathematics
Quadratic (2009)
Functions require an input in order to get an output, which explains why the answer always has at least two parts. After only three multi-part questions, the teacher can analyze pupils' strengths and weaknesses when it comes to quadratic...
Curated OER
Algebra 1: Unit 5 Review
For this problem solving worksheet, 6th graders determine if 4 functions are exponential growth or decay, sketch 4 graphs and compare 2 sets of functions. Students write the rule, linear or exponential, for 4 tables.
Curated OER
Writing a Function Rule
In this Algebra I/Algebra II worksheet, students determine the equation that correctly represents the relationship between the x and y values provided. The one page worksheet contains four multiple choice problems. Answers are not...
Curated OER
Practice: Word Problems
Congratulations, you've just hit the word problem jackpot! Covering an incredible range of topics from integers and fractions, to percents, geometry, and much more, this collection of worksheets will keep young mathematicians busy...
Curated OER
Regression Analysis
In this regression analysis activity, 9th graders solve 10 different word problems related to regression analysis. First, they use the information given to find a suitable function to model the data. Then, students use the model to...
Curated OER
Using Inequalities to Problem Solve
Students explore inequalities. In this Algebra I lesson, students solve and graph linear inequalities involving addition, subtraction, multiplication, or division. Students use inequalities to solve and graph real-world problems.
Curated OER
Quadratic Functions
In this algebra instructional activity, students perform transformations on quadratic functions. They describe the different properties of quadratic functions. There are 12 problems.
Virginia Department of Education
How Much is that Tune?
Tune in for savings! Scholars investigate pricing schemes for two different online music download sites. After comparing the two, they determine the numbers of songs for which each site would be cheaper.
Balanced Assessment
Telephone Service
Class members must determine the best phone plan for customers. by assessing three different phone plans. Each plan price depends not only the number of minutes, but also the location of the calls — bringing in a third variable. Scholars...
Mathematics Assessment Project
Shelves
Don't leave this task on the shelf — use it is assess middle schoolers understanding of patterns. Participants try to discover a pattern in the number of bricks and planks used to make shelves. They then match descriptions and equations...
Curated OER
Euler's Method
In this calculus worksheet, students answer 14 short-answer questions regarding Euler's Method, rate equations, initial conditions, and slope functions.
Curated OER
Graphing
In this graphing activity, 9th graders solve and graph 8 different problems that include defining various terms related to graphing. First, they label the quadrants in a coordinate plane and name the quadrant for each listed ordered...
Inside Mathematics
House Prices
Mortgages, payments, and wages correlate with each other. The short assessment presents scatter plots for young mathematicians to interpret. Class members interpret the scatter plots of price versus payment and wage versus payment for...
Virginia Department of Education
Factoring for Zeros
Relate factors to zeros and x-intercepts. Scholars first graph quadratics in both standard and factored forms to see that they are the same. They go on to use the graphs to see the relationship between factors and x-intercepts.
Curated OER
Slope Fields and Euler's Method
In this slope field worksheet, students use a slope field for a rate equation. Using Euler's Method, they identify the piecewise linear function approximating the solution of the initial value problem. This four-page worksheet contains...
Curated OER
The Babylonian Algorithm, Limits and Rates of Change
In this successive approximations learning exercise, students use the Babylonian algorithm to determine the roots of given numbers. They identify the limits of a function, and compute the rate of change in a linear function. This...
Inside Mathematics
Hexagons
Scholars find a pattern from a geometric sequence and write the formula for extending it. The instructional activity includes a table to complete plus four analysis questions. It concludes with instructional implications for the teacher.