Distributive Property Teacher Resources
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Use the Distributive Property and Combine Like Terms #8
In this algebra practice worksheet, learners examine 10 algebraic expressions and use the distributive properties and combine life terms to simplify each of them.
The Distributive Property 1
Elementary schoolers observe Sal evaluate the expression 4(8+3) and then use the distributive property to solve it. Using different colors to make the process clear, Sal explains not only how to use the distributive property but, with visuals aids, why it works. This video could be a big help for struggling learners. Have them watch it at home while they do their homework.
Mathematicians practice communicating why the sum of two multiples of a number results in another multiple of that number. Encourage learners to construct a viable argument by applying the distributive property or by drawing a diagram. Ask your class if this works for all factors and multiples.
Rectangle Perimeter 3
This activity looks at writing expressions to represent perimeter of a rectangle and then considers the concept of equivalent expressions and the distributive property in more detail.
Half of a Recipe
Kids love to cook! What is a better place to learn mixed numbers than with a recipe? It is up to learners to decide how they want to divide this recipe in half. They may choose to model the mixed number and then divide the model by two. Maybe it is easier for them to graph on a number line and then mark the half-way point. Or a straight computation of multiplying by one half could be their choice. Any way your number crunchers dice it up, they need to use critical thinking in order to complete this exercise.
How Do You Use the Distributive Property?
The instructor illustrates how to distribute a number on the outside of a parentheses to the terms inside the parentheses. I feel like this lesson is incomplete in that she uses the rainbow arrows to show she is distributing but does the math in her head. She also stops after distributing and does not combine the like terms.
Commutative, Associative, and Distributive Properties
Students explore the concepts of commutative, associative, and distributive properties. In this beginning algebra lesson, students discuss the terms "commute", "associate", and "distribute" and how they correlate with the related mathematical properties. Teams work together to demonstrate examples of these properties.
Multiplication Using Distributive Property
For this algebra worksheet, learners multiply numbers using the distributive property. They the solve using the order of operation. There are 4 problems with an answer key.
Go over the basics of matrix multiplication, from checking the dimension of the factors, to applying the distributive property. This worksheet includes directions on when and how to multiply matrices, one example, and a few problems your class can work out on their own. Answers not included.
How Do You Solve a Two-Step Equation by Distributing a Fraction First?
Are you stumped by having a fraction in front of the parentheses in an equation you are trying to solve? Never fear. Watch as the instructor shows you how to work your way through this equation starting with the distributive property and moving on to solving.
How Do You Solve a Word Problem by Subtracting and Multiplying Polynomials?
Apply the distributive property to multiply a monomial times a polynomial to get the area of a rectangle. Then use this information to solve a word problem.
How Do You Simplify an Expression?
If you know how to use the distributive property and you know how to combine like terms, then you can simplify this expression.
Hooray for chocolate chip cookies! Ask your mathematicians to triple a chocolate chip cookie recipe and then reduce the recipe by one-fourth. Your class may need two days to complete, tripling the recipe the first day and reducing the recipe the second. Start by discussing with the class the different ways to multiply the mixed numbers in the recipe by three or three-fourths. This is a good opportunity to use the distributive property in a real-life situation and to talk about what is realistic. Do we have the tools to measure five-sixteenths of a cup? The exercise is comprehensive, involving multiplication of fractions and mixed numbers.
Properties of Multiplication
Properties of multiplication can get confusing, and are incredibly important to mathematicians. This worksheet is helpful in that it first explains the properties (commutative, associative, and distributive), giving examples of each. Then, scholars complete six multiple-choice problems during which they must choose the equation which shows the property listed. A second worksheet gives a more challenging option, with less explanation and eight problems. Answers are provided.
There are very specific ways to multiply binomials. One could use the FOIL method or employ the distributive property. Sal walks through each step of the FOIL method and then shows that using distribution results in the same answer. This is a very well-done video and may appeal to visual learners.
Special Polynomials Products 1
Some polynomials, when multiplied, result in a special product. Sal uses the distributive property to demonstrate the multiplication process. He then explains why some polynomials cannot be completely simplified.
Multiplying Monomials by Polynomials
Can you multiply a monomial by a polynomial? Yes you can, if you use the distributive property. Sal describes how to distribute the monomial term over the entire polynomial expression. He does a wonderful job explaining this concept.
Binomial and Polynomial Worksheet
In this problems solving worksheet, 6th graders write the degree of 4 polynomials, rewrite 4 polynomials in standard form and solve 4 polynomial equations. Students use the distributive property to find 6 products, solve 10 binomial equations and factor 8 polynomial equations.
How Do You Solve a Word Problem by Multiplying Trinomials?
Use the distributive property to multiply these two trinomials. Then combine all the like terms and make sure to write them in descending order by degrees.
How to Use an Abacus
Explore the many mathematical uses of the Suan Pan or Chinese Abacus. Learners use the abacus to demonstrate the commutative, associative, and distributive properties. They also use it to demonstrate place value. A great way to mix math and history!