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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...
Lesson Plan
Curated OER

Adding Fractions With Like Denominators

For Teachers 4th - 5th
Students investigate the concept of adding fractions with like denominators. They review how to combine the numerators. Students use cutouts to handle fractions that are hands on while comparing them to slices of pizza. They work...
Lesson Plan
EngageNY

Connecting Graphical Representations and Numerical Summaries

For Teachers 6th Standards
Which graph belongs to which summary statistics? Class members build upon their knowledge of data displays and numerical summaries to connect the two. Pupils make connections between different graphical displays of the same data in...
Lesson Plan
Curated OER

The 3 R's of Common Denominators (Language)

For Teachers 4th - 6th
Pupils solve various word problems that deal with common denominators, and write the mathematical explanations they used to obtain the solutions.
Lesson Plan
Curated OER

Comparing Fractions

For Teachers 4th - 5th
Young mathematicians compare two fractions with like denominators and then move to the next level to compare fractions with unlike denominators. They will first try to use mental math to make educated guesses. There are a few guidelines...
Lesson Plan
Curated OER

Discovering New Units

For Teachers 4th - 6th
Students use Cuisenaire rods to explore common denominators. In this fractions lesson, students build Cuisenaire representations of fractions, then find their equivalent counterparts to find the common denominator.
Lesson Plan
EngageNY

Relationships Between Two Numerical Variables

For Teachers 9th - 10th Standards
Working in small groups and in pairs, classmates build an understanding of what types of relationships can be used to model individual scatter plots. The nonlinear scatter plots in this lesson on relationships between two numerical...
Lesson Plan
Curated OER

The Art of Interpreting Percent

For Teachers 4th - 6th
Ddefine the relationships between fractions, decimals, and percentages in a series of lessons. The class practices converting between these three versions of a number. They also find the common factor of a numerator and denominator and...
Lesson Plan
Curated OER

Roman Numerals and Their History

For Teachers 2nd - 4th
Students identify Roman numerals and the history associated with them.  In this historical number lesson, students investigate charts and photographs to discover the history of Roman numerals.  Students bring a Roman numeral...
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EngageNY

Adding and Subtracting Rational Expressions

For Students 10th - 12th Standards
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.
Lesson Plan
Curated OER

Finding the Least Common Multiple

For Teachers 5th - 6th
In this math worksheet, students learn to find the least common multiple and rewrite fractions with common denominators. There are step by step directions and 10 problems.
Lesson Plan
Curated OER

Common Factors and Common Multiples and Simple Exponents

For Teachers 3rd - 5th
Students explore factors and multiples. In this factors and multiples instructional activity, students learn the vocabulary words factor, common factor, multiple and common multiple. Students view examples of each and then complete...
Lesson Plan
Curated OER

Investigating Fraction Circles

For Teachers 3rd - 5th
Add and subtract fractions with common denominators! In this fractions lesson plan, upper graders review what they already know about fractions, use manipulatives to compare fractions, and add and subtract fractions.
Lesson Plan
Curated OER

Fraction Food Frenzy

For Teachers 3rd - 5th
Students study addition of fractions with like denominators using illustrations and problem solving.
Lesson Plan
Illustrative Mathematics

Cynthia's Perfect Punch

For Teachers 3rd - 5th Standards
Using a real-world example, this problem illustrates the thought process that learners need to engage in to understand adding mixed numbers with common denominators. First by looking at estimation, and then by drawing models that...
Lesson Plan
Curated OER

Investigation the Derivatives of Some Common Functions

For Teachers 9th - 12th Standards
Learners investigate the derivative of a function.  In this calculus activity, students explore the derivatives of sine, cosine, natural log, and natural exponential functions.  The activity promotes the idea of the derivative...
Lesson Plan
Curated OER

Primary Understanding and Use of Place Value

For Teachers 3rd - 4th
Explore place value and regrouping with your class. They develop awareness of several ancient number systems and how they differ from the base ten system commonly used today. They play "Chip Trading" with partners to practice addition...
Lesson Plan
Curated OER

What's Next?

For Teachers 5th - 7th
Teach the class how to continue a given number pattern, and have them state a rule to explain their answer. Arithmetic sequences and related worksheets are used to reinforce the concept of numerical patterns using the nthterm.
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Curated OER

Half Math Quilt

For Teachers 3rd - 4th Standards
Help your third graders become familiar with equivalent fractions for one-half by having them create a quilt. They will use triangles to create a quilt of equivalent fractions over a period of 6 days. As they create the quilt pieces they...
Lesson Plan
Curated OER

Finding the Greatest Common Factor

For Teachers 5th - 6th
For this math worksheet, students learn to find the greatest common factor and simplify fractions. Students read the information and follow the step by step directions to find the GCF in 10 problems.
Lesson Plan
Curated OER

Adding and Subtracting Fractions

For Teachers 8th - Higher Ed
In this adding and subtracting fractions worksheet, students solve 5 sets of problems related to the adding and subtracting of fractions. First, they identify that each fraction has a common denominator and then simplify by adding or...
Lesson Plan
Mathematics Assessment Project

Representing the Laws of Arithmetic

For Teachers 6th Standards
Sixth graders connect numerical expressions to geometric area. They first complete an assessment task requiring them to identify area models for numerical expressions. Learners then participate in an activity to match area models to...
Lesson Plan
EngageNY

Complex Number Division 2

For Teachers 11th - 12th Standards
Individuals learn to divide and conquer complex numbers with a little help from moduli and conjugates. In the second lesson on complex number division, the class takes a closer look at the numerator and denominator of the multiplicative...
Lesson Plan
EngageNY

Writing Division Expressions

For Teachers 6th Standards
Express division using different expressions. Individuals learn to write division expressions both with and without the division symbol in the 13th lesson of a 36-part series. They consider both numerical and algebraic expressions...