CK-12 Algebra Explorations is a hands-on series of activities that guides students from Pre-K to Grade 7 through algebraic concepts.
This lesson contains a video lesson [9:28] and various exercises about the area of rectangles, common units of area, two-part rectangles and the distributive property, and shapes composed of rectangular areas.
Video tutorial uses examples to reinforce how to simplify linear expressions. [4:49]
Students develop spatial reasoning about large areas through composing and decomposing rectangles to determine area.
Lesson plan in which students calculate area, build areas to a given amount, and calculate the perimeter with the use of Legos. Step by step instructions and videos are provided. CCSS.Math.Content.3.MD.C.7.c Use area models to represent the distributive property in mathematical reasoning.
Students compare the distributive property to sending invitations at a birthday party.
Children need to move from the manipulative expressions of the distributive property into the mathematical equations eventually. This lesson is the first step in leading them to that goal.
The children have been practicing decomposing areas and now digits in order to understand and use the distributive property.
Students will use area models and expressions to help build a solid foundation of how the distributive property works.
Practicing math problems is a great way to study for a math test!
Students are taught to look for patterns in solving mathematical problems. Starting in the lower grades, they learn that math problems can be decomposed and recomposed without its value changing (the distributive property). In these videos, you'll see teachers demonstrating how ratios, percentages, and fractions can have very similar meanings but depending on the context, they might choose one strategy over another. Students can use this knowledge to simplify and solve more difficult mathematical problems in higher grades.
Overview of the four basic number properties with examples.
The distributive property of multiplication over addition allows us to eliminate the grouping symbol, usually in the form of parenthesis. Illustrates the basic pattern or formula and how to apply it.
A Distribution Collusion: Obtaining the secrets to successfully using the distributive property.
Model with algebra tiles to generate equivalent expressions. This video focuses on visualizing the distributive property.
Sal finds equivalent expressions by combining like terms and using the distributive property. [1:57]
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This animated Math Shorts video explains how the distributive property can help students model and create equivalent expressions. In the accompanying classroom activity, students play a quick game where they identify common factors within an expression and work on a series of problems that expand their understanding of how to apply the distributive property. While the problems begin with whole number expressions, students soon work toward algebraic notation and eventually develop the idea that ax + bx can be rewritten as x(a + b).
Sal shows how to factor the expression 4x+18 into the expression 2(2x+9). [3:28]
Khan Academy learning modules include a Community space where users can ask questions and seek help from community members. Educators should consult with their Technology administrators to determine the use of Khan Academy learning modules in their classroom. Please review materials from external sites before sharing with students.
Practice applying the distributive property to factor numerical expressions (no variables). Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Khan Academy learning modules include a Community space where users can ask questions and seek help from community members. Educators should consult with their Technology administrators to determine the use of Khan Academy learning modules in their classroom. Please review materials from external sites before sharing with students.
Brush up on your math skills relating to equivalent expressions then try some practice problems to test your understanding.