Curated OER
Numbers in a Sequence
In this algebra instructional activity, students find the next number in the sequence and calculate the formula for the sequence. There are 23 questions.
Curated OER
Greatest Common Factor and Factoring by Grouping
In this Algebra II/college level worksheet, young scholars factor polynomials by pulling out the GCF and by grouping. The two page worksheet contains seventy–two problems. Answers are provided.
Curated OER
Factoring Polynomials
In this Algebra II/college level worksheet, students use the discriminate to determine if a polynomial has factors with integral coefficients and factor polynomials, including factoring by pulling out the GCF and factoring by grouping....
Curated OER
Simplifying Rational Expressions
In this algebra worksheet, students simplify rational expressions using common denominators. There are 50 questions requiring factoring and grouping, with an answer key.
Curated OER
Solving Quadratic Equations
In this Algebra II worksheet, 11th graders solve quadratic equations by factoring, completing the square, and the quadratic formula. Application problems are included. The two page worksheet contains seventy-two problems. Answers are...
Curated OER
Dividing Polynomials
In this Algebra II/college level worksheet, students use long and synthetic division to divide polynomials and use the Factor Theorem to show that a given polynomial is a factor of a polynomial function. The two page worksheet contains...
Curated OER
Properties of Logarithms
In this algebra worksheet, 11th graders solve logarithmic problems using the properties of logs. They condense and expand logs using the correct properties. There are 78 problems with an answer key.
Curated OER
Systems of Equations
In this algebra instructional activity, learners solve systems of equations using matrices. There are 24 questions to be solved.
Curated OER
Solving Equations by Factoring
In this algebra activity, learners use the Zero Product Property to solve polynomial equations by factoring. Application problems are included. The one page interactive activity contains fifty-four problems. The solution steps and...
Curated OER
Hyperbolas: Sketching from the Equation
In this algebra worksheet, learners sketch graphs of hyperbolas after solving equations to standard form and interpreting the center, vertices, foci, axis, asymptotes, and eccentricity from the equation. There are 58 questions.
Curated OER
Geometric Sequences - Bacterial Growth
Bring algebra to life with scientific applications. Math minded individuals calculate and graph the time it takes a bacterium to double. They discuss geometric sequences and use a chart to graph their findings. There are 38 questions all...
Curated OER
Piecewise Practice Problems
In this algebra worksheet, students validate continuity of a graph by a defined interval as well as determine continuity of a piecewise function.
Curated OER
Factors
Factoring numbers helps prepare scholars for fractions and algebra, so build confidence by drilling this skill and promoting reflection in the process. Scholars start by listing factors for 18 numbers, none of which exceed 30. Next, they...
Curated OER
Factors of Numbers from 1 to 30
Finding factors is an integral skill on the road to fractions and algebra. Scholars write down a factor list for nine numbers up to 30. Next, they examine provided lists and circle the numbers that are factors of eight more numbers, also...
Illustrative Mathematics
Transforming the graph of a function
This activity guides learners through an exploration of common transformations of the graph of a function. Given the graph of a function f(x), students generate the graphs of f(x + c), f(x) + c, and cf(x) for specific values of c. 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...
Illustrative Mathematics
Box of Clay
What happens to a volume when you scale the dimensions of a rectangular prism? For this problem, a box of clay is increased in each dimension, with the intent to see if learners can generalize the result. The addition of physical models...
Illustrative Mathematics
Chocolate Bar Sales
In this real-world example, algebra learners start to get a sense of how to represent the relationship between two variables in different ways. They start by looking at a partial table of values that define a linear relationship. They...
Illustrative Mathematics
Busy Day
This activity gets at the heart of algebraic reasoning and setting up equations with one variable to solve real-world problems. The worksheet has only one problem, but it requires that learners first use their own reasoning capabilities...
National Research Center for Career and Technical Education
Architecture and Construction: Stair Construction
Within the context of the construction industry, algebra pros begin to calculate slope from the sizes of stair steps. This is a terrific lesson, especially for aspiring engineers. Just be aware that it might be a stretch to meet all of...
Illustrative Mathematics
Distance across the channel
Here you will find a model of a linear relationship between two quantities, the water depth of a channel and the distance across the channel at water level. The cross section of the channel is the shape of an isosceles trapezoid. The...
Illustrative Mathematics
Dimes and Quarters
Here is a coin problem where the algebra learner determines the pair of linear equations needed to solve the system. Whether the equations are taken from a table, or your scholars recognize the format of a coin problem, it is an...
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
Equations and Formulas
Your class is asked to use inverse operations to solve eleven equations for unknown variables or to rearrange formulas to highlight a quantity of interest. By using the same reasoning as solving one- and two-step equations, algebra...
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