The first two questions face anyone who cares to distinguish the real from the unreal and the true from the false.
Attempts to rewrite the expression as an equation and solve for x.
Questions Eliciting Thinking What does it mean for expressions to be equivalent? Can you explain the Distributive Property? What does the word distribute mean? What do you think the parentheses mean?
Instructional Implications Explain what it means for expressions to be equivalent i. Demonstrate that two expressions [e.
Be sure the student understands that a demonstration that two expressions are equivalent for a variety of values does not constitute a proof that they are equivalent.
To prove two expressions are equivalent, properties and theorems must be used.
Provide instruction on the Distributive Property and be very clear in describing what the property means. Then evaluate each expression using the order of operations rules to show that the expressions are equivalent.
Be sure the student understands that the Distributive Property applies to subtractions as well since any subtraction can be rewritten as an addition. Explain the usefulness of factoring by guiding the student through problem 2.
Provide additional opportunities to both expand and factor expressions using the Distributive Property. Divides one of the terms, 16, by 4.
Indicates he or she does not know. Substitutes four for x and evaluates the expression.
|Search This Blog||Friday, September 7, Teaching the Distributive Property After having to reteach my Algebra 2 students the distributive property, I wanted to make sure my Algebra 1 students had a strong understanding of the distributive property.|
|NEXT We can work the distributive property in reverse—we just need to check our rear view mirror first for small children. A factor in this case is one of two or more expressions multiplied together.|
|Look for and make use of structure.|
|Mathematics Glossary » Glossary | Common Core State Standards Initiative||Well, you need to know what the distributive property is.|
How is this property used? Is there more than one way to apply the Distributive Property? Got It The student provides complete and correct responses to all components of the task.
Examples of Student Work at this Level The student rewrites:Equivalent Expressions with the Distributive Property Short description: Learn how the distributive property can be used to model and create equivalent expressions in this animated Math Shorts video. Long description: This animated Math Shorts video explains how the distributive property can help students model and create equivalent expressions.
kmd1 Describe measurable attributes of objects, such as length or weight. Describe several measurable attributes of a single object. kmd2 Directly compare two objects with a measurable attribute in common, to see which object has "more of"/"less of" the attribute, and describe the difference.
For example, directly compare the heights of two children and describe one child as taller/shorter. Expand Expressions Using the Distributive Property.
Add to Favorites. 8 teachers like this complement them on their abilities to evaluate expressions while reminding them that the main focus is to generate an equivalent expression with the distributive property.
It is okay if students want to use the additive inverse and re-write these. Factoring is to write an expression as a product of factors. For example, we can write 10 as (5)(2), where 5 and 2 are called factors of srmvision.comtEE.C.9 Use variables to represent two quantities in a real-world problem that change in relationship to one another; write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable.
Analyze the relationship between the dependent and independent variables using graphs and tables, and. Practice determining whether or not two algebraic expressions are equivalent by manipulating the expressions.
These problems require you to combine like terms and apply the distributive property. Equivalent expressions.