After 3 minutes of work time, I have students share out their responses. I am looking for students to say that the expressions are equivalent because the answers are the same.
The difference is that the factors are in a different order. This property only works for addition and multiplication. We then look at the second example. Again, I have students turn and talk about whether or not the expressions are equivalent. Here, I also articulate the key points: The expressions are equivalent. The Associative Property tells us that no matter how you group the numbers the result will always be the same. The Associative Property can only be applied to addition and multiplication.
For both properties, I have students help me come up with equivalent expressions numerical and algebraic. The more practice students get with identifying and defining the properties, the more quickly they will internalize each of them. This gives me a chance to check for student understanding and also make sure students are doing the appropriate amount of writing for each problem. I don't yet give this to students - I choose to provide it as a resource after our lessons on the distributive and the identity properties.
I've provided it here so that you can use it as you see fit. As students work, I circulate around the room and check in with each pair. I am looking for:. If groups finish quickly, I have them work with their partner to create equivalent expressions using each property.
Equivalent Expressions (Grade 6)
You can challenge students by asking them to create a pair of equivalent expressions using both the associative and commutative properties. Problem 7 is one that I like - options A, B, and C are all equivalent, but only one of them applies the associative property. This question requires students to apply what they know about the properties. Problem 10 asks 'which student solved correctly? This question gives students the chance to really write a robust response, using definitions and examples in their writing.
After independent work time, I have students come back together for a conversation about Problem 9. First, I ask students to vote with their thumbs about whether or not they think James is correct I expect to see a few people vote that James is correct. I'll then have students share the examples they used in their writing with their partners. Finally, I'll ask the class who thinks their partner has a strong example that proves James' thinking is incorrect, and allow that student to share. Empty Layer.
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6th Grade Math Worksheets
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Higher Education. Adult Education. Art History.Do you love using Escape Room activities, but hate the prep? Then look no further, this resource is low prep and highly engaging. It can be used with or without technology and requires no lock boxes or elaborate set ups! Escape room style math review. This escape room will review evaluating expressions and identifying equivalent expressions content, in a fun, engaging way!
It covers the 6th-grade CCSS 6. Students work through questions about evaluating expressions and identifying equivalent expressions. This is a great way to review expressions and evaluating expressions content you've taught in 6th grade or a great way to review previously learned content with 7th graders.
Make the days leading up to your assessment fun with this rigorous and engaging math review.
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Report this resource to TpT. Third Grade Triumph 1, Followers. There are 3 levels of rigorous content they need to work through. Level 1 5-digit code Students work through questions about evaluating expressions and identifying equivalent expressions.
Identify Equivalent Expressions (Grade 6)
TPT Pinterest Instagram. Log in. Identify when two expressions are equivalent i. Apply the properties of operations to generate equivalent expressions. Evaluate expressions at specific values of their variables.Count on our printable 6th grade math worksheets with answer keys for a thorough practice. With strands drawn from vital math topics like ratio, multiplication, division, fractions, common factors and multiples, rational numbers, algebraic expressions, integers, one-step equations, ordered pairs in the four quadrants, and geometry skills like determining area, surface area, and volume, organizing numerical data as dot plots, histograms and box plots, finding mean, median, and quartiles of datasets, these pdfs become your often go-to place.
Grab your ticket to a great start with our free math worksheets for grade 6 students!Algebra Basics: The Distributive Property - Math Antics
Division 4-Digit by 2-Digit and 3-Digit. Divide a 4-digit number by a 2-digit or 3-digit number, starting from the largest place value and dividing your way down to the last digit to find the quotient and remainder if any. Drawing Shapes to Represent the Ratio. Jazz up your ratio skills with our 6th grade math worksheet pdfs.
Direct students to visually represent the terms of each ratio by sketching the specified number of shapes. Multiplying Two Fractions by Cross Cancelling. Breaking down the numerator and denominator into prime factors, cross-cancelling the common factors, and multiplying the uncancelled parts of the fraction are all grade 6 learners are expected to do! Expressing Decimals in Words Up to Millionths. Let your understanding of decimal place value soar to new heights as you dive into these printable 6th grade math worksheets and express decimals up to millionths in words and vice versa.
Follow the step-by-step process of finding the GCF by listing out all the factors of each pair of 2-digit numbers, then compare the factors, figure out the common ones and the greatest among them is your answer.
Laying a strong foundation in integers becomes easy with a touch of real-world offered in these grade 6 math pdf worksheets, where each scenario should be represented with a positive or negative integer. Rearrange the equation, making the variable the subject, and take the integer constant to the other side and change its sign, add or subtract to find the value of the unknown variable.
Identifying Ordered Pairs in All Quadrants. Get acquainted with the coordinate plane, the four quadrants, and the ordered pairs.
Identify the point representing each ordered pair in Part A; and locate and write the x-y coordinates of each point in part B. Determining the Area of a Square. Equip grade 6 children with these printable math worksheets, if practice in determining the area of a square is on your mind.
Get students to square the fractional side lengths and compute the area. Get 6th grade learners to imagine folding the 2D nets presented in this printable math worksheet along the edges and visualize the 3D shapes that can be constructed from them.
Surface Area using Nets Counting Squares. Whether it is refining or testing skills in counting the unit squares to determine the surface area of rectangular prisms, cubes or triangular prisms from their nets, these pdfs serve the purpose.
Descriptively analyze each dataset, by rearranging the values in ascending order and figuring out the maximum and minimum values, and the lower or 1st, median or 2nd, and upper or 3rd quartiles.
Push boundaries and brush up your division skills with adequate practice provided by these exercises in dividing 5-digit numbers with single and double-digit divisors. Ratio Word Problems Part-to-Part. Put your analytical skills to test with our 6th grade math worksheet pdfs. Study the data given in the pictogram and answer the set of questions detecting the part-to-part ratio in each scenario.
Multiplying Mixed Numbers and Fractions. Effortlessly multiply mixed numbers and fractions by converting the mixed numbers to improper fractions, cross cancelling the common factors and then multiplying what's left over. Members have exclusive facilities to download an individual worksheet, or an entire level. Login Become a Member. Coordinate Planes. Nets of Solid Shapes. Division 4-Digit by 2-Digit and 3-Digit Divide a 4-digit number by a 2-digit or 3-digit number, starting from the largest place value and dividing your way down to the last digit to find the quotient and remainder if any.
Drawing Shapes to Represent the Ratio Jazz up your ratio skills with our 6th grade math worksheet pdfs. Multiplying Two Fractions by Cross Cancelling Breaking down the numerator and denominator into prime factors, cross-cancelling the common factors, and multiplying the uncancelled parts of the fraction are all grade 6 learners are expected to do!
Expressing Decimals in Words Up to Millionths Let your understanding of decimal place value soar to new heights as you dive into these printable 6th grade math worksheets and express decimals up to millionths in words and vice versa.Which expression equals. Solve for. If you've found an issue with this question, please let us know. With the help of the community we can continue to improve our educational resources. If Varsity Tutors takes action in response to an Infringement Notice, it will make a good faith attempt to contact the party that made such content available by means of the most recent email address, if any, provided by such party to Varsity Tutors.
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This notification is accurate.Please log in to save materials. Log in. Cluster: Apply and extend previous understandings of arithmetic to algebraic expressions. Standard: Write, read, and evaluate expressions in which letters stand for numbers. Learning Domain: Expressions and Equations. Standard: Apply and extend previous understandings of arithmetic to algebraic expressions. Indicator: Write, read, and evaluate expressions in which letters stand for numbers.
Students do a card sort in which they match expressions in words with their equivalent algebraic expressions. ELL: Check in to ensure that students understand the meaning of domain specific vocabulary terms such as algebraic expressionequationvariableand product.
Create equivalent expressions by factoring
Discuss the Math Mission. Students will complete a card sort in which they match an expression in words with its equivalent algebraic expression. Have the students do the card sort. Have partners explain how they sorted the cards to each other. SWD: Use card sorting activities to encourage students to experiment—they can move the cards around if they change their minds. ELL: When listening to student responses, let students know in advance that they will be presenting their work on a specific problem during Ways of Thinking.
This will give them ample time to prepare a thoughtful presentation. In this card sort, students must make sense of verbal descriptions and algebraic expressions. Some descriptions may be tricky for students.
Watch for students who understand the difference between the two. Mathematical Practice 3: Construct viable arguments and critique the reasoning of others.
Listen as partners explain their card sorts to each other. Are students able to justify their matches and communicate their reasoning clearly and completely? Look for students who have different methods for deciding which verbal expressions and which algebraic expressions match up. Use these in the Ways of Thinking discussion in the next step. ELL: In asking prompting questions, be sure to use adequate pace with ELLs, and be sure that they understand the meaning of the questions.
This lesson may be particularly challenging for ELLs and students who are unfamiliar with standard algebraic conventions. You may want to pair ELLs with students whose primary language is English. You may also want to pair students who are unfamiliar with standard algebraic conventions with students who are familiar with those conventions. As you choose which students will present their work, consider how you can use the work to focus students on the language and the conventions of algebra.
Takes notes about the strategies your classmates used to match algebraic expressions with written expressions. Have each student write a brief reflection before the end of class. Review the reflections to find out what students learned about expressions.Which of the following expressions are equivalent? If an expression has no match, write 2 equivalent expressions to match it. In this problem we have to transform expressions using the commutative, associative, and distributive properties to decide which expressions are equivalent.
Common mistakes are addressed, such as not distributing the 2 correctly. This task also addresses 6. First, we notice that the expressions in a and d can be rewritten so that they do not contain parentheses. We now only have to check c and e. So c and e are not equivalent to aband d. For cwe can use the distributive property and decompose one of the numbers to write two equivalent expressions:.
For ewe can add and subtract the same number or the same term to write two equivalent expressions:. Grade 6. Domain Expressions and Equations. Cluster Apply and extend previous understandings of arithmetic to algebraic expressions. Standard Identify when two expressions are equivalent i.
Task Equivalent Expressions. Equivalent Expressions. Alignments to Content Standards: 6. Student View. Task Which of the following expressions are equivalent? IM Commentary In this problem we have to transform expressions using the commutative, associative, and distributive properties to decide which expressions are equivalent.Guarana elodie
Solution First, we notice that the expressions in a and d can be rewritten so that they do not contain parentheses. Print Task.
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