Calculating with Bounds

Calculating with Bounds worksheet

Suitable for Grades: Algebra I, IM 1
CCSS: 7.EE.B.4.B, HSA.REI.C.6
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CCSS Description: Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers. Graph the solution set of the inequality and interpret it in the context of the problem. For example: As a salesperson, you are paid $50 per week plus $3 per sale. This week you want your pay to be at least $100. Write an inequality for the number of sales you need to make, and describe the solutions.

Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.
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Calculating with Bounds worksheet description

The "Calculating with Bounds" worksheet focuses on rounding and working with bounds. In Section A, students calculate the upper and lower bounds for different values of x and y, therefore applying the four operations while building familiarity with bounds through straightforward arithmetic.

Section B then advances into finding the upper and lower bounds of the perimeter and area of various polygons, encouraging students to apply bounds to geometric figures.

Section C brings in real-world scenarios, calculating bounds for compound measures such as speed and density.

Sections D and E challenge students with more advanced problems, involving bounds in algebraic expressions and compound calculations.

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