California Education Partners
Cady's Cats
How much can a cat eat? The five-question fraction assessment asks pupils to determine the fractional portion of a food box eaten by cats. Learners show their proficiency in adding and subtracting fractions using several scenarios...
California Education Partners
Bake Sale
Work with fractional cookies. The three-part assessment task checks the pupils' ability to find the product of fractions and whole numbers, mixed numbers, or fractions. Learners determine the amount of ingredients needed and how many of...
Curated OER
Complex Numbers
In this complex numbers instructional activity, 9th graders solve 10 different types of problems that include complex numbers in standard form. First, they state the values of the a and b components for each complex number when the...
Balanced Assessment
House Plan
A short assessment has individuals determine the scale of a house plan. They use the scale to calculate the size of a door and window that need to be replaced, and then divide a bedroom in two, calculating the size of rooms created.
Curated OER
Dividing Rational Expressions
In this worksheet, students divide rational expressions and write the answer in simplest form. The problems start out as fractions with monomials and gradually become more complex with factoring required. This one-page worksheet...
Concord Consortium
A Monosignic Function
Complex fractions and trigonometric expressions combine to create a challenging task ... as if they aren't challenging enough on their own! The task challenges individuals to consider the range of possible values when substituting in the...
Curated OER
Solving Rational Equations
In this rational equations worksheet, students solve rational equations. They find the least common multiple for given complex fractions. This two-page worksheet contains 18 problems. An example is provided at the beginning of the...
California Education Partners
John's Trip Disneyland
It all adds up to one. Pupils solve several items that involve finding sums of fractions in relationship to a whole. The assessment task uses fractions with unlike denominators to determine the amount of a tank of gas and the amount of...
PBS
Working with Common Denominators: Assessments
Now that the practice is over, see if young mathematicians can utilize their new skills on finding common denominators and adding fractions. The assessment contains one map challenge and follows with skills practice.
Illustrative Mathematics
Margie Buys Apples
One of the most common, everyday applications of math is dealing with money. This single problem calculating how much change Margie receives is more involved than it appears at first glance. An understanding of how fractions and decimals...
Illustrative Mathematics
Find 1 Starting from 5/3, Assessment Variation
Take two steps back. Given 5/3 on a number line, the task asks pupils to determine where one goes. The activity is the most demanding in cognitive complexity of three tasks dealing with the placement of fractions on a number line.
Noyce Foundation
Part and Whole
Now you'll never have trouble cutting a cake evenly again. Here is a set of five problems all about partitioning shapes into a given number of pieces and identifying the fractional amount of each piece. As learners progress through the...
Math Stars
Math Stars: a Problem-Solving Newsletter Grade 8
You've just hit the jackpot of integrating math problems and riddles with this jumbo-sized resource! Written as a newsletter, scroll through 35 pages of puzzles and quality problems to engage and encourage your learners to inquire and...
California Education Partners
Least and Greatest
Squares can be magic. Pupils use their knowledge of addition of positive and negative rational numbers to create a 3 X 3 magic square where the sums are 1. Scholars create addition and multiplication expressions with a set of rational...
Curated OER
Calculus Assignment #1: Integrals
In this calculus worksheet, students evaluate given integrals. Problems contain exponents, square roots, and complex fractions. This two-page worksheet contains 16 multi-step problems. Answers are provided on page two.
Curated OER
Calculus Assignment #5: Integrals
In this calculus assignment worksheet, students evaluate given integrals. Problems contain square roots, complex fractions, and exponents. This two-page worksheet contains 14 problems. Answers are provided on page two of the worksheet.
Illustrative Mathematics
Combined Fuel Efficiency
Practice simplifying complex fractions and long division of polynomials with this brief exercise. These four questions make a challenging warm-up activity or a short, but comprehensive, follow-up after a detailed lesson on algebraic...
Curated OER
Order of Operations
In this order of operations worksheet, learners solve complex problems where they practice using the order of operations. Students complete 7 problems.
Curated OER
Mixed Fraction Sequences
In this math worksheet, students complete the mixed fractions that are sorted into a sequence. The sheet is intended as a teacher's guide.
Curated OER
Adding and Subtracting Rational Expressions
In this adding and subtracting rational expressions worksheet, students solve 22 problems with complex denominators. Eight problems have common denominators, for the other 14, students must first multiply to find the common denominator.
Illustrative Mathematics
Designs
A resource that makes for excellent group work as students explore the area and perimeter of different complex designs made up of squares and circles. The commentary gives a clear definition of perimeter, but suggests that group members...
Illustrative Mathematics
Stained Glass
A complex question looking for the total cost of a stained glass window by calculating area and circumference of a circle. With detailed components, this activity will challenge your designers to figure out if they have enough money to...
Curated OER
Extra Practice 39: Multiplying, Dividing, and Simplifying Radical Expressions
In this radical worksheet, students use multiplication and division to solve equations. All expressions on this worksheet represent non-negative numbers. Radicals include exponents and complex fractions. This two-page worksheet contains...
Illustrative Mathematics
Voting for Two, Variation 1
The votes are in and your mathematicians are going to calculate how many votes each candidate received. Three different solution choices are given, depending on which method is taught. Have your learners set up a table, compute parts, or...
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