Solve word problems leading to equations graphs of proportional or non-proportional of the form px + q = r and p(x + q) = r, where p, relationships. Graphing proportional q, and r are specific rational numbers. Solve relationships represented in a table helps for 7.RP.A and 7.EE.B.4: equations of these forms fluently. Compare an students recognize that the graph is a line 7.RP.A.1: IDs 41932, 41933, and 41935 algebraic solution to an arithmetic solution, through the origin (0,0) with a constant of 7.RP.A.2: IDs 41892, 43993, 41937, & 44014 identifying the sequence of the operations proportionality equal to the slope of the line. 7.RP.A.3: IDs 42131 and 42138 used in each approach. 7.EE.B.4a: IDs 41905 and 42139 7.EE.B.4b: IDs 42140, 41907, and 36800 Example(s): Solve word problems leading to The perimeter of a rectangle is 54 cm. Its inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational length is 6 cm. What is its width? numbers. Graph the solution set of the inequality and interpret it in the context of the As a salesperson, you are paid $50 per week problem. 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. A student is making trail mix. Create a graph to determine if the quantities of nuts and fruit are proportional for each serving size listed in the table. If the quantities are proportional, what is the constant of proportionality or unit rate that defines the relationship? Explain how you determined the constant of proportionality and how it relates to both the table and graph. The relationship is proportional. For each of the other serving sizes there are 2 cups of fruit for every 1 cup of nuts (2:1). The constant of proportionality is shown in the first column of the table and by the slope of the line on the
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. 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. graphs of proportional or non-proportional relationships. Graphing proportional relationships represented in a table helps students recognize that the graph is a line through the origin (0,0) with a constant of proportionality equal to the slope of the line. Example(s): The perimeter of a rectangle is 54 cm. Its length is 6 cm. What is its width? 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. A student is making trail mix. Create a graph to determine if the quantities of nuts and fruit are proportional for each serving size listed in the table. If the quantities are proportional, what is the constant of proportionality or unit rate that defines the relationship? Explain how you determined the constant of proportionality and how it relates to both the table and graph. The relationship is proportional. For each of the other serving sizes there are 2 cups of fruit for every 1 cup of nuts (2:1). The constant of proportionality is shown in the first column of the table and by the slope of the line on the for 7.RP.A and 7.EE.B.4: 7.RP.A.1: IDs 41932, 41933, and 41935 7.RP.A.2: IDs 41892, 43993, 41937, & 44014 7.RP.A.3: IDs 42131 and 42138 7.EE.B.4a: IDs 41905 and 42139 7.EE.B.4b: IDs 42140, 41907, and 36800