Once they have done this, discuss: MOV I have students flip to the closure section to look at figure a and figure b. Issues relating to the dimensions in formulae for areas and lengths might emerge.
Make sense of problems and persevere in solving them, MP3: Finally, the "questions to consider" provide some interesting points for discussion - students could be invited to suggest questions they think mathematicians might ask themselves, with the list in the problem used to prompt ideas if necessary.
Can you combine any terms? There is opportunity for fruitful discussion when the two shapes are compared, to see what is the same and what is different, and to see if one can be transformed into the other.
For the second expression we combine like terms and write the simplified expression. I am pushing students to apply what they know to a new situation. For the first expression we write an expression that is not simplified. Students need to remember that the variables inside the shapes represent the area.
I want students to realize that since they use the same blocks that figure a and figure b have the same area. It is important that students write the length of each side on each shape.
We work together on these examples. Make sense of problems and persevere in solving them, MP5: Each student needs a set of Algebra Tiles. I ask students what the variables inside the shape represent. Other students may not see these connections and that is okay.
Look for and make use of structure and MP8: Construct viable arguments and critique the reasoning of others, MP7: I review the task and the expectations with students.• Calculate the perimeter and area of a rectangle and square • Write an expression to represent the perimeter and area of multiple shapes • Create equivalent expressions by combining like terms Andrea Palmer For the first expression we write an expression that is not simplified.
For the second expression we combine like terms and.
Simplifying and writing expressions 2: area. In this grade 6 or pre-algebra lesson, we continue our study of expressions, this time writing and simplifying expressions for the area of rectangles. Question 1(Multiple Choice Worth 4 points) () Alex, Ian, and Ric together sold 48 tickets for the school fund-raiser.
Alex sold 11 tickets and Ian sold 18 tickets. The rectangle on the right is labeled with its dimensions. Demention one is (3x-4) and the second one is (x+6) Write a simplified expression for the area of the rectangle.
The width of a rectangle is 9 inches more than 4 times the length. If x represents the length, write an algebraic expression in terms of x that represents the perimeter of the rectangle.
Simplify the expression. a pool 20 ft by 30 ft is going to have a deck x feet wide added all the way around the pool write an expression in simplified form for the area of the deck.