I assign this product as a homework assignment prior to the Module 2 test in the Eureka Math curriculum. This can also be an in-class problem set for a review day. This product is editable.
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Solve word problems leading to equations of the form 𝘱𝘹 + 𝘲 = 𝘳 and 𝘱(𝘹 + 𝘲) = 𝘳, where 𝘱, 𝘲, and 𝘳 are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach. For example, the perimeter of a rectangle is 54 cm. Its length is 6 cm. What is its width?
Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.
Apply properties of operations as strategies to multiply and divide rational numbers.
Understand that integers can be divided, provided that the divisor is not zero, and every quotient of integers (with non-zero divisor) is a rational number. If 𝘱 and 𝘲 are integers, then –(𝘱/𝘲) = (–𝘱)/𝘲 = 𝘱/(–𝘲). Interpret quotients of rational numbers by describing real-world contexts.
Understand that multiplication is extended from fractions to rational numbers by requiring that operations continue to satisfy the properties of operations, particularly the distributive property, leading to products such as (–1)(–1) = 1 and the rules for multiplying signed numbers. Interpret products of rational numbers by describing real-world contexts.