Solve literal equations for a specified variable. MA.912.A.3.3 Day 2 This benchmark is assessed at a moderate level and is only assessed in multiple choice format. District School Board of Pasco County

District School Board of Pasco County I do… Example 1: Solve the following equation for p q = 4p – 11 + 11 + 11 Inverse Operations: Addition q + 11 = 4p 4 4 Inverse Operations: Division Solution Day 2 District School Board of Pasco County

District School Board of Pasco County I do… Example 2: Solve for r in the area formula for a circle   A = πr2 π π Inverse Operations: Division Inverse Operations: Square Root Solution Day 2 District School Board of Pasco County

District School Board of Pasco County I do… Example 3: Solve the following equation for c ac = 2b + 2c Get all the c terms on one side Inverse Operations: Subtraction - 2c - 2c - 2c + ac = 2b Greatest Common Factor with Reverse Distributive Property c (-2 + a) = 2b (-2 + a) (-2 + a) Inverse Operations: Division Day 2 Solution District School Board of Pasco County

District School Board of Pasco County You do… Solve the following literal equation for y: 10x + 5y = 80 -10x -10x Inverse Operations: Subtraction 5y = -10x + 80 5 5 Inverse Operations: Division y = -2x + 16 Solution Day 5 Webb’s Level of Complexity: Low District School Board of Pasco County

District School Board of Pasco County You do… The formula below tells you how to convert degrees in Celsius to degrees in Fahrenheit. 
Write a formula that will tell how to convert degrees in Fahrenheit to degrees in Celsius. F = (1.8 x C) + 32 - 32 - 32 Inverse Operations: Subtraction F – 32 = 1.8 x C 1.8 1.8 Inverse Operations: Division Day 5 Webb’s Level of Complexity: Moderate Solution District School Board of Pasco County

District School Board of Pasco County You do… 3. The Gross Domestic Product of a country for a given year is the sum of the market values of all goods and services produced within the country during that year. The Gross Domestic Product per capita is found by using the following formula. Where: S = Gross Domestic Product per capita C = consumer spending I = investment G = government purchases N = net exports P = population Solve for C. Day 5 Webb’s Level of Complexity: High District School Board of Pasco County

District School Board of Pasco County You do… 3. The Gross Domestic Product of a country for a given year is the sum of the market values of all goods and services produced within the country during that year. The Gross Domestic Product per capita is found by using the following formula. Solve for C. Inverse Operations: Multiplication Inverse Operations: Subtraction Day 5 Webb’s Level of Complexity: High Explain to the students that many times on standardized tests there is much more information given then needed. Direct them to focus on the important information and to ignore the rest. Solution District School Board of Pasco County

District School Board of Pasco County Graph a line given any of the following information: a table of values, the x- and y- intercepts, two points, the slope and a point, the equation of the line in slope-intercept form, standard form, or point-slope form. MA.912.A.3.8 Also assesses MA.912.A.3.12 (Graph a linear equation or inequality in two variables with and without graphing technology. Write an equation or inequality represented by a graph.) Day 2 This benchmark is assessed at a moderate level and only via multiple choice items. MA.912.A.3.12 is assessed at a moderate level and only via multiple choice items. District School Board of Pasco County

District School Board of Pasco County LEQ: How do I graph a line given any of the following information: a table of values, the x- and y- intercepts, two points, the slope and a point, the equation of the line in slope- intercept form, standard form, or point-slope form? Vocabulary: Draw an arrow from the vocabulary word or phrase to the graphic that best represents it. Function Table x-intercept y-intercept Slope Slope-Intercept Form Standard Form Point-Slope Form Day 2 Vocab should be interactive when possible. District School Board of Pasco County

District School Board of Pasco County I do… Graph the line that contains (3,0) and has a slope of . First, plot the given point. Next, use the slope to find more points on the line. OR Day 2 District School Board of Pasco County

District School Board of Pasco County I do… Roger went to a garage sale where hardback books sold for $5 each and paperback books sold for $2.50 each. He has $20 to spend. The equation below can be used to find how many books of each type Roger can buy, where x is the number of hardback books and y is the number of paperback books. Graph the equation showing all of the possible combinations of books Roger could buy. 5x + 2.50y = 20 Since the equation is in standard form, we’ll find the intercepts to graph. We’ll only focus on the 1st quadrant, because “negative books” wouldn’t make sense. # of hardback books # of paperback books x-intercept: Day 2 Discuss why the 1st quadrant is used here instead of all 4. y-intercept: District School Board of Pasco County

You do… Create a graph of a line that has an undefined slope and one that has a slope that equals zero. Write the equation of each line. undefined Slope = 0 Day 5 Webb’s Level of Complexity: Low x = 4 y = −2 Any vertical line has an undefined slope. District School Board of Pasco County Any horizontal line has a slope = 0.

The line will be solid because the inequality You do… 2. A fish market charges $10 per pound for cod (x) and $12 per pound for flounder (y). He must sell at least $120 of fish each day to meet his required quota. This can be modeled by the following inequality: 10x + 12y ≥ 120. Graph this inequality to show the possible combinations of fish he could sell to meet his quota. Since the equation is in standard form, we’ll find the intercepts to graph. The line will be solid because the inequality symbol is “or equal to”. x-intercept: y-intercept: Pounds of Cod Pounds of Flounder Day 5 Webb’s Level of Complexity: Moderate To shade, pick a test point: (0, 0) is easy. Plug in and evaluate. This is NOT a true statement, so shade away from the test point (0, 0). District School Board of Pasco County

District School Board of Pasco County Simplify monomials and monomial expressions using the laws of integral exponents. MA.912.A.4.1 Day 2 District School Board of Pasco County

District School Board of Pasco County I do… Mina simplified the expression: Her final answer in the form . If she simplified the expression correctly, what is the value of n, the exponent on b? − 4 Day 2 District School Board of Pasco County

District School Board of Pasco County I do… If the following expression was simplified, what would be the value of the leading coefficient? 1 / 1 6 Day 2 District School Board of Pasco County

District School Board of Pasco County I do… The area of the rectangle shown is . What is the length of the rectangle? Day 2 District School Board of Pasco County

District School Board of Pasco County You do… When comparing the areas of the triangle and the rectangle, the area of the rectangle is what fraction of the area of the triangle? 1 / 4 20x 4xy 5x2 2y Day 5 Webb’s Level of Complexity: Low District School Board of Pasco County

District School Board of Pasco County You do… 2. Simplify the following expression: Day 5 Webb’s Level of Complexity: Moderate 5 / 4 District School Board of Pasco County

District School Board of Pasco County You do… 3. What is the value of n? − 6 6 − 5 5 Day 5 Webb’s Level of Complexity: High District School Board of Pasco County

Factor polynomial expressions MA.912.A.4.3 District School Board of Pasco County

District School Board of Pasco County I do… Factoring the GCF from a Polynomial Expression Factor the following polynomial completely. Second, find what goes in the parentheses by dividing each term of the polynomial by the GCF. First, find the GCF. The GCF goes outside the parentheses. Day 2 Answer: District School Board of Pasco County

Factor the following polynomial completely. I do… Factoring Quadratic Trinomials Factor the following polynomial completely. Step 1. Create two pairs of parentheses to house your binomials. Step 4. List the factors of the c term. We are looking for factors that add or subtract to b. Step 2. Put the factors of the first term in the ‘first’ spots. Step 5. Complete the binomials by putting the factors into the ‘last’ spots. Be careful of the signs, since we need these to add up to b! Step 3. Decide what signs to use. If c is negative then (x + )(x - ) If c is positive and b is positive then (x + )(x + ) If c is positive and b is negative then (x - )(x - ) Day 2 Explain to students that factoring quadratic trinomials is reverse FOIL. Step 6. Perform a mental FOIL to check your work. Answer: District School Board of Pasco County

Factor the following polynomial completely. I do… Factoring Quadratic Trinomials Factor the following polynomial completely. Step 1. Create two pairs of parentheses to house your binomials. Step 4. List the factors of the c term. We are looking for factors that add or subtract to b. Step 2. Put the factors of the first term in the ‘first’ spots. Step 5. Complete the binomials by putting the factors into the ‘last’ spots. Be careful of the signs, since we need these to add up to b! Step 3. Decide what signs to use. If c is negative then (x + )(x - ) If c is positive and b is positive then (x + )(x + ) If c is positive and b is negative then (x - )(x - ) Day 2 Explain to students that factoring quadratic trinomials is reverse FOIL. Step 6. Perform a mental FOIL to check your work. Answer: District School Board of Pasco County

District School Board of Pasco County You Do These have a lot of blank space so that a student can come up and demonstrate their solution after they have had a chance to complete on their own. Answer: District School Board of Pasco County

District School Board of Pasco County You Do These have a lot of blank space so that a student can come up and demonstrate their solution after they have had a chance to complete on their own. Answer: District School Board of Pasco County