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Illustrative Mathematics
Listing Fractions in Increasing Size
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...
Curated OER
Adding Fractions With Like Denominators
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...
EngageNY
Connecting Graphical Representations and Numerical Summaries
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...
Curated OER
The 3 R's of Common Denominators (Language)
Pupils solve various word problems that deal with common denominators, and write the mathematical explanations they used to obtain the solutions.
Curated OER
Comparing Fractions
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...
Curated OER
Discovering New Units
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.
EngageNY
Relationships Between Two Numerical Variables
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...
Curated OER
The Art of Interpreting Percent
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...
Curated OER
Roman Numerals and Their History
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...
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.
Curated OER
Finding the Least Common Multiple
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.
Curated OER
Common Factors and Common Multiples and Simple Exponents
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...
Curated OER
Investigating Fraction Circles
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.
Curated OER
Fraction Food Frenzy
Students study addition of fractions with like denominators using illustrations and problem solving.
Illustrative Mathematics
Cynthia's Perfect Punch
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...
Curated OER
Investigation the Derivatives of Some Common Functions
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...
Curated OER
Primary Understanding and Use of Place Value
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...
Curated OER
What's Next?
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.
Curated OER
Half Math Quilt
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...
Curated OER
Finding the Greatest Common Factor
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.
Curated OER
Adding and Subtracting Fractions
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...
Mathematics Assessment Project
Representing the Laws of Arithmetic
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...
EngageNY
Complex Number Division 2
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...
EngageNY
Writing Division Expressions
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...