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EngageNY
Applying the Properties of Operations to Multiply and Divide Rational Numbers
Use properties to evaluate several multiplications and divisions. The 16th lesson in a series of 25 demonstrates to scholars how they can utilize properties of operations to evaluate complex numerical expressions involving multiplication...
EngageNY
Least Common Multiple and Greatest Common Factor
Find the common denominator between prime factors, factor trees, and the distributive property. Scholars learn to find the least common multiple and greatest common factor of pairs of numbers. They rotate through stations to connect...
Shodor Education Foundation
Skew Distribution
Slide the class into a skewed view. Learners alter the location of the median relative to the mean of a normal curve to create a skew distribution. They compare the curve to a histogram distribution with the same skewness.
Blogger
Properties of Real Numbers
Three tables, prepared for learners to write notes about the properties of real numbers, are squeezed onto one printable. The addition and multiplication of real numbers are the focus of the notes.
EngageNY
Mathematical Area Problems
Teach the connection between area models and the distributive property through problem-solving. The 22nd activity in a series of 29 explains the distributive property graphically. Learners build area models from word problems and convert...
EngageNY
Writing Products as Sums and Sums as Products
Create rectangle and area models to help students understand expressions. The third installment in the 28-part series has pupils first represent expressions using rectangular array models. The exercises help scholars understand the...
Virginia Department of Education
Normal Distributions
Pupils work to find probabilities by using areas under the normal curve. Groups work to calculate z-scores and solve real-world problems using the empirical rule or tables.
Kentucky Department of Education
Multi-Digit Multiplication Strategies
There is more than one way to solve a multiplication problem, and many learners find that the lattice multiplication method can be a helpful one. Fourth graders take an initial formative assessment before working in groups of two or...
West Contra Costa Unified School District
Simplify Expressions and Solve Equations Using Two-Column Proofs
Increase understanding of the algebraic properties and their importance. Scholars justify their steps as they simplify expressions and solve equations. They formalize their work as two-column proof.
EngageNY
Classification of Solutions
Is there one, none, or more? Through discussion or activity, scholars find the properties of an equation that will determine the number of solutions. They then use the properties discovered to figure out the number of solutions...
National Security Agency
A Balancing Act: Solving Multi-Step Equations
Wow! Put on that thinking cap and solve multi-step equations. To solve equations, learners review the use of the distributive property and combining like terms. This three-day lesson comes with about 20 pages of worksheets, warm-ups,...
EngageNY
Writing Products as Sums and Sums as Products II
Explain algebraic relationships through an understanding of area and perimeter. Continuing concepts built in the third instructional activity of the series, the fourth installment of 28 asks learners to identify common expressions...
Curated OER
Patterns in the Multiplication Table
Explore patterns in the multiplication table in order to deepen your third graders' understanding of this essential skill. Implement this activity as a whole-class instructional activity, allowing students to work in pairs or small...
Education Development Center
Language of Algebra
Don't rush into algebra, let learners visualize, guess, and predict their way to a successful math career. The introductory unit incorporates beginner algebraic concepts with shapes instead of variables. Young mathematicians use a...
Education Development Center
Making Sense of Unusual Results
Collaboration is the key for this equation-solving lesson. Learners solve a multi-step linear equation that requires using the distributive property. Within collaborative groups, scholars discuss multiple methods and troubleshoot mistakes.
EngageNY
Markup and Markdown Problems
There is a 100 percent chance this resource will help pupils connect percents to financial literacy. Young mathematicians use their knowledge of percents to find markups and markdowns in financial situations in the seventh segment in a...
EngageNY
Computing Actual Lengths from a Scale Drawing
The original drawing is eight units — how big is the scale drawing? Classmates determine the scale percent between a scale drawing and an object to calculate the length of a portion of the object. They use the percent equation to find...
EngageNY
Collecting Rational Number Like Terms
Teach pupils to handle fractions fluently. The sixth installment in the series of 28 has class members apply the concepts learned in previous lessons to expressions with fractional coefficients. The fractions are both mixed numbers and...
Illustrative Mathematics
Extensions, Bisections and Dissections in a Rectangle
Gaining practice in translating a verbal description into a diagram and then an equation is the real point of this similar triangles exercise. Once the diagram is drawn, multiple methods are provided to reach the conclusion. An effective...
Mathematics Assessment Project
Identifying Similar Triangles
Math whizzes work with angle sums and exterior angles to figure out the measure of other angles. This particular publication provides comprehensive support in the form of an anticipatory activity, questions designed to prompt discussion,...
EngageNY
Multiplying and Factoring Polynomial Expressions (part 1)
Polynomial multiplication and factoring go hand in hand. Why not teach them together. This resource begins with an area model for distributing a monomial and then connects the process to factoring the GCF. Learners then advance to...
Virginia Department of Education
How Many Triangles?
Something for young mathematicians to remember: the sum of any two sides must be greater than the third. Class members investigates the Triangle Inequality Theorem to find the relationship between the sides of a triangle. At the...
EngageNY
Relationships Between Quantities and Reasoning with Equations and Their Graphs
Graphing all kinds of situations in one and two variables is the focus of this detailed unit of daily lessons, teaching notes, and assessments. Learners start with piece-wise functions and work their way through setting up and solving...
PBS
Working with Common Denominators: Activities and Supplemental Materials
Enjoy these straightforward and simple worksheet pages that practice with different denominators. The practice starts simple with adding fractions together and then works on a recipe that needs to be tripled.