1 2 3 4 5 6 Standards Skills Concepts Included Through a Particular Cognitive Sample Activity Included in Standard Context Demand/ in Levels of Standard Thinking D-7.EE.4a Solve Word problems Word problem context Apply Use annual budgets to Solve word problems leading to equations of the form leading to equations of determine how much is spent a px + q = r and p(x + q) = r, where p, q, and r are Compare Algebraic and the form px + q = r and month, a quarter, or for 6 specific rational numbers. Solve equations of these arithmetic solutions p(x + q) = r, where p, q, months. forms fluently. Compare an algebraic solution to an and r are specific rational arithmetic solution, identifying the sequence of the numbers operations used in each approach. For example, the perimeter of a rectangle is 54 cm. Its length is 6 cm. Word problems What is its width? D-7.EE.4b Solve word problems Word problems of the Apply Using various pay amounts Solve word problems leading to inequalities of the form px + q > r or px + q < with bonuses/overtime and form px + q > r or px + q < r, where p, q, and r are Graph Solution sets of r, where p, q, and r are budgets (could be real or specific rational numbers. Graph the solution set of and inequalities specific rational numbers contrived) determine how the inequality and interpret it in the context of the Interpret many hours a wage earner problem. For example: As a salesperson, you are paid the Inequalities of the form would have to work to meet $50 per week plus $3 per sale. This week you want solution px + q > r or px + q < r, their budget. Tell whether the your pay to be at least $100. Write an inequality for where p, q, and r are pay amounts and/or hours are the number of sales you need to make, and describe specific rational feasible. the solutions. numbers.
1 Standards 2 Skills Included in Standard 3 Concepts Included in Standard 4 Through a Particular Context 5 Cognitive Demand/ Levels of Thinking 6 Sample Activity D-7.EE.4a 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? Solve Compare Word problems Algebraic and arithmetic solutions Word problem context leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers Word problems Apply Use annual budgets to determine how much is spent a month, a quarter, or for 6 months. D-7.EE.4b 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 Graph and Interpret the solution word problems Solution sets of inequalities Word problems of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers Inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers. Apply Using various pay amounts with bonuses/overtime and budgets (could be real or contrived) determine how many hours a wage earner would have to work to meet their budget. Tell whether the pay amounts and/or hours are feasible.
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