Illustrative Mathematics
Seven Circles III
A basic set-up leads to a surprisingly complex analysis in this variation on the question of surrounding a central circle with a ring of touching circles. Useful for putting trigonometric functions in a physical context, as well as...
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.
Curated OER
Solving Rational Equations
Algebra learners solve various rational equations. These start out fairly basic and get a little more complex.
Exploratorium
Exploring a Complex Space-Filling Shape
Middle schoolers build a three-dimensional 12-pointed star as a geometric exercise. The shape is quite-difficult to construct. Luckily there is an excellent template that learners cut out, then use to make their pyramid. The second part...
EngageNY
Adding and Subtracting Rational Expressions
There's a fine line between a numerator and a denominator! Learners find common denominators in order to add and subtract rational expressions. Examples include addition, subtraction, and complex fractions.
Concord Consortium
Squares and Cubes
The task is simple, but the solution is a little more complex. Learners must find the smallest number that results in a perfect square when multiplied by two and a perfect cube when multiplied by three. The task requires an analysis of...
CCSS Math Activities
Smarter Balanced Sample Items: 7th Grade Math – Target B
Fraction and integer operations follow the same rules. Assess the depth of understanding with operations with rational numbers using a presentation from the Grade 7 Claim 1 Slideshow series. A set of slides presents 12 question and...
Mt. San Antonio Collage
Review: Solving Equations
While there are many types of equations to solve, the main focus here is on quadratics. Starting with a quick review of the different methods, learners are guided through the solving process and are challenged to solve higher level of...
Curated OER
Exponents - Week 1
In this exponent worksheet, students add, subtract, multiply and divide exponents. They solve problems containing negative exponents, fractional exponents, and polynomials. This two-page worksheet contains eight problems.
Curated OER
Complex Analysis: Polynomial Equations
In this polynomial equations learning exercise, students evaluate roots and draw vector representations. This three-page learning exercise contains four problems.
Curated OER
Fractions and Mixed Numbers
This series of math presentations by Monica Yuskaitis is outstanding! This installment teaches youngsters about fractions and mixed numbers. The graphics, examples, and text throughout this presentation are engaging and should help...
Curated OER
Solving Rational Equations
In this rational equations activity, students solve rational equations. They find the least common multiple for given complex fractions. This two-page activity contains 18 problems. An example is provided at the beginning of the activity.
Curated OER
Complex Analysis: Linear Fractional Transformations
In this linear transformation activity, students find and sketch a series of transformations. They map images. This four-page activity contains eleven problems, with examples and detailed explanations.
Math Worksheets Land
Partitioning Circles and Rectangles- Independent Practice
Start simple by using a shape-partitioning learning exercise. Scholars begin by segmenting basic shapes in halves and quarters. On the second page, they move on to more complex shapes, such as a heart and a cross, also partitioning them...
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
Carbon 14 Dating, Variation 2
Your archaeologists begin this task with a table of values to estimate the time passed based on the half-life of Carbon 14 remaining in a plant. They then move on to find when a specific amount of Carbon 14 is present in the same plant,...
Curated OER
Express Whole Numbers as Fractions
Show examples of fractions in the real world to help scholars grasp this complex concept. Because there is only one word problem here with an answer detailed below, this is ideal as an all-class warm up. Learners examine an image of a...
Curated OER
Real-Life Problems
There's a party going on! Learners examine an image of a birthday party and answer 10 analysis questions. They employ a variety of math skills including telling time, days of the week, division, subtraction, multiplication, addition,...
Illustrative Mathematics
Computing Volume Progression 2
Once your geometers know how to apply the formula V = l w h, they will be ready to take on the fractional volume of a fish tank. Have your number crunchers swap heights so they can see that the fractional volume will not change.
Curated OER
Subtraction Problems
In need of a complete and thorough presentation that shows reviews and implements problem solving? Four basic problem-solving steps are outlined, and a complex word problem involving subtraction is presented and used to demonstrate the...
Illustrative Mathematics
Animal Populations
Assume all you know is that the variable Q represents a value that is bigger than the value represented by the variable P. Which is larger P + Q or 2P? The problems in this activity get more complex than that example, and they do a good...
EngageNY
Percent
Extend percent understandings to include percents less than one and greater than 100. A great lesson has pupils build upon their knowledge of percents from sixth grade. They convert between fractions, decimals, and percents that are less...
Education Closet
Equal Rhythms
Engage young mathematicians in learning about fractions with this cross-curricular math and music lesson plan. After listening to and repeating different beat patterns, children realize that musical notes are just another way of...
EngageNY
End-of-Module Assessment Task: Pre-Calculus Module 2
Assess pupil understanding of the relationship between matrices, vectors, linear transformations, and parametric equations. Questions range from recall to more complex levels of thinking. Problems represent topics learned throughout the...
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