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Illustrative Mathematics

Listing Fractions in Increasing Size

For Teachers 3rd - 5th Standards
Increase the depth of your class's fractional number sense with this number-ordering activity. Given four fractions, each with different numerators and denominators, young learners are asked to place them in order from smallest to...
Activity
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Curated OER

Task: Grain Storage

For Teachers 7th - 10th Standards
Farming is full of mathematics, and it provides numerous real-world examples for young mathematicians to study. Here, we look at a cylinder-shaped storage silo that has one flat side. Given certain dimensions, students need to determine...
Worksheet
Waterloo Mathematics

Number Sense and Numeration: Integers - Objects Model

For Students 7th - 9th Standards
Here is a comprehensive task for your middle school mathematicians regarding the multiplication and division of integers. Word problems and practical problems abound, while occasional graphics make the page more visually appealing. A...
Lesson Plan
Illustrative Mathematics

Tax and Tip

For Teachers 6th - 8th Standards
Finding out how to calculate tax and tip is a valuable skill that all young adults should be able to do without a calculator. Learners are given a bill and asked to calculate the tax, tip, and total amount. Calculations can be exact or...
Activity
Illustrative Mathematics

Building toward fluency

For Teachers 2nd - 3rd Standards
Here is a great learning task that focuses on the development of areas in computational fluency including strategies in mental math. Young learners are guided through a list of addition expressions that help them visually understand the...
Worksheet
National Security Agency

Integers: Quick, Fun and Easy To Learn

For Students 6th Standards
A good complement to any integers unit contains a three-day lesson plan about positive and negative integers, adding and subtracting integers, and how to find the additive inverse. Additionally, it provides all necessary...
Lesson Plan
EngageNY

Perimeter and Area of Polygonal Regions in the Cartesian Plane

For Students 9th - 12th Standards
How many sides does that polygon have? Building directly from lesson number eight in this series, learners now find the area and perimeter of any polygon on the coordinate plane. They decompose the polygons into triangles and use Green's...
Worksheet
Curated OER

Measuring Angles

For Students 6th - 7th
In this math worksheet, students use protractors to measure each of a set of angles. This is a worksheet generator, the teacher controls the minimum and maximum angles students are presented with as well as whether or not to rotate...
Worksheet
Curated OER

Simple Addition Using Hundredths 2

For Students 3rd - 5th
In this addition with decimal tenths practice worksheet, students practice their computation skills as they solve 40 problems that require them to add 3 or 4-digit decimal numbers.
Worksheet
Curated OER

Challenge Discussion Sheet 8

For Students Higher Ed
In this differential worksheet, students compute the rate a boat is approaching a dock when given the height and length of a rope. They find the rate the angle formed when a rocket is launched at given distances above the ground....
Worksheet
Curated OER

Discussion Sheet 9

For Students 11th - Higher Ed
In this math worksheet, students determine the convergence and divergence for each series using the test that is indicated. They also compute the partial sum and determine the error.
Worksheet
Curated OER

Discussion Sheet 3: Function

For Students Higher Ed
For this function worksheet, students compute functions, classify critical points and determine the absolute extrema for an indicated region. This one-page worksheet contains approximately nine multi-step problems.
Worksheet
Curated OER

Discussion Sheet 2: Domain and Range

For Students Higher Ed
In this domain and range worksheet, students determine the domain and range of a function, compute the limits of a function, and use the intermediate value theorem to verify that an equation is solvable. This one-page worksheet contains...
Worksheet
Curated OER

Discussion Sheet 4: Limits & Differentiation

For Students Higher Ed
In this limits and differentiation worksheet, students use the limit definition of a derivative to compute functions, and differentiate functions. They determine the geometric significance of values and identify the sketch of a...
Worksheet
Curated OER

Discussion Sheet 9: Functions and Limits

For Students Higher Ed
In this function and limits activity, students identify a one-to-one correspondence and identify an inverse function. They compute limits of functions. This two-page activity contains five multi-step problems.
Assessment
PBS

Working with Common Denominators: Assessments

For Students 4th - 6th Standards
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. 
Activity
Illustrative Mathematics

Exponentials and Logarithms I

For Teachers 8th - 12th Standards
This task focuses on using the verbal definition of the logarithm to understand that a logarithm is an exponent. Learners complete six computational exercises using the inverse properties of logs and exponents and answer two...
Assessment
Achieve

Yogurt Packaging

For Students 7th - 10th Standards
Food companies understand how to use math to their advantage. Learners explore the math related to the packaging and serving size of yogurt. They then use unit analysis and percent values to make decisions on the product development.
Assessment
Illustrative Mathematics

Sounds Really Good! (Sort Of...)

For Students 10th - 12th Standards
Winning a lottery game with 60% odds sounds like a no brainer. This is when the math kicks in to show players that in the long run, they lose money the more often they play. Here is one simple question that opens the doors to a nice...
Lesson Plan
National Research Center for Career and Technical Education

Transportation, Distribution, and Logistics: Tire and Wheel Assemblies

For Teachers 6th - 12th Standards
Is bigger really better? By the end of this instructional activity, learners will be able to apply formulas for computing the diameter of tires and wheel assemblies. Begin by showing a slide presentation that will review definitions for...
Worksheet
Curated OER

Simplifying Radical Expressions

For Students 8th - 11th Standards
In a radical expressions worksheet, learners use the Product and Quotient Properties of Square Roots to simplify a variety of square roots. The worksheet begins with simple radicals, progresses to radicals involving fractions and...
Worksheet
MathMovesU

Negative Numbers Practice

For Students 6th - 8th Standards
A collection of nine integer worksheets, middle schoolers practice computing the positive and negative values in a variety of problems. Adding, subtracting, multiplying, and dividing integers are the skills conveyed in these resources.
Worksheet
College Preparatory Mathematics

Geometric Probability

For Students 7th - 9th Standards
In this geometric probability worksheet, learners solve and complete 12 different problems that include determining the outcomes of various types of probability. First, they use a tree diagram or an area model to compute the desired...
Worksheet
Curated OER

Palindromes

For Students 5th - 6th
In this math worksheet, students solve 56 multiplication problems. Students read about palindromes and discover patterns in multiplying by 11's and multiplying 8-digit numbers.