Operations with Rational Numbers Day Twelve Essential Question: You will solve real-world and mathematical problems involving the four operations with rational numbers (to include fractions and decimals) . Objective: You will practice converting fractions to decimals and decimals to fractions using long division with your table mates and create procedures/steps. Vocabulary: Denominator, Numerator, Convert, Rational Number, Repeating Decimal, Terminating Decimal CW: WB p. 51 (17-20 and 25-28) HW:WB p. 51 (21-24 and 29-32) Warm-up: What are the different ways to write 23 cents? Amber is shopping for a new MP3 player. Brand A allows her to load 489.05 minutes of songs. Brand B allows her to load 489 1/20 minutes of songs. If both MP3 payers are the same price, which should she buy?

Operations with Rational Numbers Day Thirteen Essential Question: You will solve real-world and mathematical problems involving the four operations with rational numbers (to include fractions and decimals) . Objective: You will practice converting fractions to decimals and decimals to fractions using long division with your table mates and create procedures/steps. Vocabulary: Denominator, Numerator, Convert, Rational Number, Repeating Decimal, Terminating Decimal Warm-Up Class Activity: 1. Review and answer questions about homework 2. Computer activity: http://www.quia.com/jg/65724.html CW: conversations on the computer HW: WB p. 30 (1-24)

Operations with Rational Numbers Day Fourteen Objective: You will 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 with fluency and with a partner. Vocabulary: Rational Number, Equation, Additive Inverses, Addition Property of Equality, Subtraction Property of Equality, Multiplication Property of Equality, Division Property of Equality CW: review all concepts needed to solve equations involving rational numbers. HW: WB p. 37 (1-5) and p. 43 (1-5) Warm-up: With a partner create an equation to solve this problem and then solve. The width of a rectangular park is 23.4 yards. What is the perimeter of the park if the length is 2.5 times larger than the width? CW: Review integers, vocabulary and solving equations. Complete guided practice worksheet.

Operations with Rational Numbers Day Fifteen Objective: You will 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 with your table mates. CW: Inequalities with Rational Numbers HW: Worksheet Warm-Up: Find your notes on Inequalities and reread them to find the steps in solving inequality statements. CW: Review steps in solving inequalities. Guided practice with a partner. Worksheet

Guided Practice in Inequalities 1. Florence has at most $60 to spend on clothes. She wants to buy a pair of jeans for $22 dollars and spend the rest on t-shirts. Each t-shirt costs $8. Write an inequality for the number of t-shirts she can purchase. Then solve the inequality and graph it on a number line. How many t-shirts can Florence purchase and still spend less than $60? 2. Steven has $25 dollars to spend. He spent $10.81, including tax, to buy a new DVD. He needs to save $10.00 but he wants to buy a snack. If peanuts cost $0.38 per package including tax, what is the maximum number of packages that Steven can buy? Graph the solution to the inequality on a number line. Then, interpret your inequality in the context of the problem and state the maximum number of packages Steven can buy. 3. Solve: 7 - x >; 5.4 and graph the solution on a number line. 4. Solve: -0.5x - 5 < -1.5 and graph the solution on a number line.

Operations with Rational Numbers Day Sixteen Objective: You will practice solving equations and inequality statements using rational numbers, first with a partner, then individually. CW: review skills and concepts on solving equations and inequalities HW: worksheet Warm-up: Check your homework and with a tablemate, discuss what’s wrong, what is correct and how you solve. CW: Answer questions Pass the card activity

Review of Rational Numbers Unit You will review: Fractions, Decimals, F to D to F, Equations and Inequalities to prepare for your unit assessment. CW: review HW: study Warm-up: Fold a piece of paper hotdog style. In the left column, write everything you remember about this unit. See to the left if you’ve forgotten.

Assessment You will demonstrate your understanding of the following objectives. 1. 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. 2. 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. 3. 7.NS.1c Understand subtraction of rational numbers as adding the additive inverse, p - q = p + (-q). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts. 4. 7.NS.1d Apply properties of operations as strategies to add and subtract rational numbers. 5. 7.NS.2 Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers. 7.NS.3 Solve real-world and mathematical problems involving the four operations with rational numbers You will demonstrate your math reasoning skills of: MP.1 Make sense of problems and persevere in solving them MP.2 Reason abstractly and quantitatively MP.6 Attend to precision

Vocabulary 1. Additive Inverse, Common Denominator, Equivalent Fractions, Improper Fraction, Least Common Denominator, Mixed Number, Proper Fraction, Improper Fraction, Multiplicative Inverse, Numerator and Rational Number 2. Rational Numbers, Integer, Terminating Decimal, Sum, Addend, Difference 3. Denominator, Convert, Rational Number, Repeating Decimal, Terminating Decimal, Equation, Addition Property of Equality, Subtraction Property of Equality, Multiplication Property of Equality, Division Property of Equality

Rational Numbers Unit During the assessment you will demonstrate your understanding of solving equations and inequalities that contain rational numbers.