7.EE.4 Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities. 7.EE.4.a Solve word problems leading to equations of the form + = px q r and + = where and are specific rational numbers. p(x q) r, p, q, r 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? 7.EE.4.b Solve word problems leading to inequalities of the form + > px q r or + < where and are specific rational numbers. Graph px q r, p, q, r 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. Number Common Core Standard for Introduction 8.EE.7 Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms. Unit Enduring Understandings Unit Essential Questions: What is a mathematical expression Students will understand that… and how is it useful? Write algebraic expressions and equations given What do you know about the real-world situations. solution to an equation? An Use inverse operations to solve multi-step inequality? equations. Unit Objectives Unit Objectives Students will Students will be know… able to… How to write and solve inequalities Evaluate expressions using the order of from real- world contexts. operations. How to translate word phrases into Evaluate simple algebraic expressions. algebraic expressions and Describe the relationships and extend terms in equations. arithmetic and geometric sequences. Expressions are simplified by various Find squares of numbers and square roots of perfect means. squares. Equations can be solved using the Estimate square roots. properties of equality and inverse Solve one, two, and multi-step equations with operations. rational coefficients. Solve one, two, and multi-step inequalities.
7.EE.4 Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities. 7.EE.4.a 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? 7.EE.4.b 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. Number Common Core Standard for Introduction 8.EE.7 Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms. Unit Essential Questions: What is a mathematical expression and how is it useful? What do you know about the solution to an equation? An inequality? Unit Enduring Understandings Students will understand that… Write algebraic expressions and equations given real-world situations. Use inverse operations to solve multi-step equations. Unit Objectives Students will know… How to write and solve inequalities from real- world contexts. How to translate word phrases into algebraic expressions and equations. Expressions are simplified by various means. Equations can be solved using the properties of equality and inverse operations. Unit Objectives Students will be able to… Evaluate expressions using the order of operations. Evaluate simple algebraic expressions. Describe the relationships and extend terms in arithmetic and geometric sequences. Find squares of numbers and square roots of perfect squares. Estimate square roots. Solve one, two, and multi-step equations with rational coefficients. Solve one, two, and multi-step inequalities.
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