Illustrative Mathematics
Zeroes and factorization of a quadratic polynomial I
This activity uses the division algorithm and the definition of a zero/root of a function to guide your class to see the relationship between zeros and factors of a general quadratic, which can later be generalized to the Remainder...
Illustrative Mathematics
Zeroes and Factorization of a General Polynomial
These four problems will guide your class through the idea behind the Fundamental Theorem of Algebra, which states that a polynomial of degree n has exactly n roots. Use the division algorithm and the definition of a zero/root of a...
Curated OER
The Right Stuff
Studentsare introduced to the Pythagorean Theorem by exploring right triangles and the squares built on each side. They apply the Pythagorean Theorem to real-world problems. Students u se informal and nonformal arguments of proof (i.e.,...
Curated OER
The Complex Numbers
In this algebra worksheet, students solve 16 problems involving imaginary numbers. In the first three, students find the square root of 3 negative numbers in terms of i. Nine problems involve addition, subtraction, multiplication and...
Curated OER
Rational Numbers as Exponents
In this algebra worksheet, students rewrite 3 radical expressions as exponential notation. They change 6 quantities with fraction exponents into equivalent radical expressions. Students write three exponential expressions, eliminating...
Curated OER
Order of Operations
In this order of operations learning exercise, students simplify and evaluate 10 different types of problems by applying the order of operations in each. They simplify basic equations whether multiplication, division, addition, or...
Curated OER
Fiddling with Fours
In this algebra worksheet, 11th graders are solving word problem, where they are given only symbols and asked to find the answers. They get some clues to help them arrive at the answer. There is an answer key.
Illustrative Mathematics
Building a General Quadratic Function
Rewrite a quadratic function to easily see the transformations involved. The instructional task takes a general quadratic function and rewrites it into a form that shows the translations and scaling of the parent quadratic function. The...
Curated OER
Measurement
Students measure angles, perimeter, area and volume. In this geometry instructional activity, students define different ways to measure and solve for the perimeter, area and volume of geometric shapes. They analyze and process...
Curated OER
Complex Fractions
In this algebra worksheet, students divide complex fractions using properties of division and reciprocals. They are to get rid of all negative exponents. There are 48 problems.
Curated OER
Percent Notation
In this algebra worksheet, students divide circles into equal portions as they explore percents and decimals. They convert between decimals and fractions using ratio and proportion. There are 8 questions.
Curated OER
Evaluating Limits
In this evaluating limits worksheet, learners solve and complete 22 various types of problems. First, they determine the highest power of x in each of the functions. Then, students divide both the numerator and the denominator by that...
Curated OER
Using Math to Build a Swimming Pool
In this geometry worksheet, 10th graders build a swimming pool using math to calculate all of the different dimensions. The pool is rectangular in shape and is measured in yards or meters. Students must convert to different units to...
Curated OER
Natural Logarithm Rules
In this algebra worksheet, students solve problems of logarithm using addition, subtraction, multiplication and division. There are 8 questions with an answer key.
Curated OER
Patterns Here, There, and Everywhere!
Upper graders access the Microsoft Word program and create patterns by utilizing certain keys on the keyboard. They create picket fences, smiley faces, and hearts. It seems that this lesson has as much to do with keyboarding skills as it...
West Contra Costa Unified School District
Connecting Fractions and Rational Expressions
Teach class members to work with rational expressions using their knowledge of fractions. The lesson plan starts with a warm-up of rational expressions at four different levels of complexity. The different levels continue throughout the...
Achieve
Framing a House
If members of your class wonder where they can use the math they learn in middle school, let them discover the answer. Learners apply geometry concepts of scale and measure to calculate the costs of framing a house addition.
Mathematics Vision Project
Module 4: Rational Functions
Time to study the most sensible function — rational functions! The seven-lesson unit develops the concept of a rational function through a connection to rational numbers and fractions. Scholars graph functions, solve equations, and...
Willow Tree
Linear Relationships
There's just something special about lines in algebra. Introduce your classes to linear equations by analyzing the linear relationship. Young mathematicians use input/output pairs to determine the slope and the slope-intercept formula to...
Willow Tree
Arithmetic and Geometric Sequences
Old mathematicians never die; they just lose some of their functions. Studying sequences gives scholars an opportunity to use a new notation. Learners write functions to model arithmetic and geometric sequences and use them to find new...
Willow Tree
Slope
Investigate the different types of slope using graphs and ordered pairs. Scholars use the slope formula to determine the slope of a line between two points. Includes examples with a slope of zero and with no slope. The lesson follows a...
Curated OER
Area and Perimeter
For this geometry worksheet, 10th graders use single variable equations to solve problems focusing on area and perimeter of triangles, trapezoids, parallelograms, rectangles, and hexagons. The one page worksheet contains seventeen...
Curated OER
Law of Sines and Cosines
Students solve problems using sine and cosine. In this precalculus lesson, students apply the properties of sine and cosine to solve non-right triangle problems. They use Heron's Law to find the area of a shape.
Curated OER
The Meaning of Algebraic Expressions
Students define equations and expressions. In this algebra lesson, students review important vocabulary words to do with equations and solving problems. They simplify equations and expressions using addition, subtraction, multiplication...
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