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MS Algebra A-F-IF-7 – Ch. 6.2 Solving Word Problems by Writing Equations in Slope-Intercept Form

MS Algebra A-F-IF-7 – Ch. 6.2 Solving Word Problems by Writing Equations in Slope-Intercept Form. ALGEBRA SUPPORT Solving Word Problems by Writing Equations in Slope-Intercept Form. Title: 6.2 Apply Slope-Intercept Form to Solve Word Problems. Date:. SUPPORT Class Learning Target.

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MS Algebra A-F-IF-7 – Ch. 6.2 Solving Word Problems by Writing Equations in Slope-Intercept Form

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  1. MS Algebra A-F-IF-7 – Ch. 6.2Solving Word Problems by WritingEquations in Slope-Intercept Form ALGEBRA SUPPORT Solving Word Problems by Writing Equations in Slope-Intercept Form

  2. Title: 6.2 Apply Slope-Intercept Form to Solve Word Problems Date: SUPPORT Class Learning Target By the end of the period, I will apply the slope formula and the slope-intercept form to write equations and solve word problems. I will demonstrate this by completing Four-Square Notes and by solving problems in a pair/group activity.

  3. Home Work 1-2-3: 1) Class 4-Square Notes Put In Binder? 2) Section 6.2 Pg. 334-3353) Section ______ TxtBk.Prob. #28,33,37-43 ALL Notes Copiedon blank sheet Solved and Put in Binder? of paper in Binder? Table of Contents Date Description Date Due

  4. Step 1: Find the slope between 2 points HW # 28 Step 2: Find the value of b using m and 1 point Error Analysis Step 3: Write general y = mx + b equation An appliance store uses a rule of thumb to determine how much refrigerator space (in cubic feet) a family will need. A salesperson suggests that a family of 5 buy a refrigerator with 16 cubic feet of space and that a family of 8 buy a refrigerator with 22 cubic feet of space. Describe and correct the error in finding the amount of refrigerator space per family member. The error I see in the calculation is ____________________________ ____________________________. I would correct the error by ____________________________ ____________________________. 8 – 5 Step 1: m = 22 – 16 3 6 = = ½ S = refrigerator space (ft3) b = starting space F = number of family members m = cubic feet per family member

  5. Step 1: Find the slope between 2 points HW # 33 Step 2: Find the value of b using m and 1 point Error Analysis Step 3: Write general y = mx + b equation An internet service provider charges $18 per month plus an initial set-up fee. On customer paid a total of $81 after 2 months of service. Describe and correct the error in finding the set-up fee. CORRECTION ERROR y = mx + b C = mT+ b 81 = m(2) + 18 63 = m(2) 31.50 = m The error I see in the calculation is ____________________________ ____________________________. I would correct the error by ____________________________ ____________________________ ____________________________. C = total cost b = initial set-up fee T = number of months of service m = cost of service per month

  6. How To Get To Slope-Intercept Form Notes: Given Two Points Step 1) Make a table Use the two points to calculate SLOPE (m) Y2 – Y1 m = X2 – X1 Step 2) Plug m and one point intoy = mx + b Solve for b (Y1) = m(X1) + b Step 3) Write general formula with mandb y = mx + b m = slope b = y-intercept Slope-Intercept Form of a Linear Equation

  7. Step 1: Find the slope between 2 points HW # 37 BIOLOGY Step 2: Find the value of b using m and 1 point Given 2 data points Step 3: Write general y = mx + b equation Four years after a tree was planted, its height was 9 feet. Eight years after it was planted, its height was 12 feet. What is the average growth rate of the tree? What was its height when it was planted? Step 1: Step 2: m = H = mY + b General Equation: H = height of treeY = years after planted m = growth rate b = original height of tree

  8. Step 1: Find the slope between 2 points HW # 38 Online Magazine Step 2: Find the value of b using m and 1 point Given 2 data points Step 3: Write general y = mx + b equation You have a subscription to an online magazine that allows you to view 25 articles from the magazine’s archives. You are charged an additional fee for each article after the first 25 articles viewed. After viewing 28 archived articles, you paid a total of $34.80. After viewing30 archived articles, you paid a total of $40.70. What is the cost per archived article after the first 25 articles viewed? What is the cost of the magazine subscription? Step 2: Step 1: m = General Equation: C = total costA = articles viewed m = cost per article b = original subscription cost

  9. HW # 39 y = mx + b Multiple Choice From 1990 to 2001, the number of airports in the U.S. increased at a relatively constant rate of 175 airports per year. There were 19,306 airports in the U.S. in 2001. Which equation gives the number of U.S. airports as a function of the number of years since 1990? A) y = 175x + 19,306 B) y = 175x + 17,381 C) y = 175x + 16,521 D) y = 19,306x + 175

  10. Step 1: Find the slope between 2 points HW # 40-41 Newspapers Step 2: Find the value of b using m and 1 point Given 2 data points Step 3: Write general y = mx + b equation From 1970 to 2000, the number of Sunday newspapers in circulation increased at a relatively constant rate of 11.8 newspapers per year. In 1997 there were 903 Sunday newspapers in circulation. About how many Sunday newspapers were in circulation in 1970? (what is b?) Write an equation that gives the number of Sunday newspapers in circulation as a function of the number of years since 1970. Step 1: m = General Equation: Step 2:

  11. Step 1: Find the slope between 2 points HW # 42-43 Newspapers Step 2: Find the value of b using m and 1 point Given 2 data points Step 3: Write general y = mx + b equation From 1970 to 2000, the number of Sunday newspapers in circulation increased at a relatively constant rate of 11.8 newspapers per year. In 1997 there were 903 Sunday newspapers in circulation. In 2004, there were 915 Sunday newspapers in circulation. Does the model predict this result? EXPLAIN by considering the function’s domain. About how many Sunday newspapers were in circulation in 2000? 2000 - 1970 30 years  x m = The model does / does not predict the result because _________________________ _________________________ _________________________. General Equation:

  12. Storm Check (Think, Write, Discuss, Report) If you are given two points, how can you create a linear equation that is in slope-intercept form? (2-3 sentences) When given two points, I can create a linear equation in slope-intercept form by _______________ _______________________________________________ ______________________________________________ ______________________________________________.

  13. Vocabulary Slope y-intercept Data Pair Slope-Intercept Form Point-Slope Form

  14. Sketch Friendly Definition Sentence Wordwork • DAY 2 • 1. Review word • Friendly Definition • Physical Representation • 2. Draw a sketch • DAY 1 • Use Visuals • Introduce the word • Friendly Definition • Physical Representation • Use Cognates • Write friendly definition • Physical Representation Word List Vocabulary Acquisition • DAY 5 • 1. Review the word • Friendly definition • Physical Representation • 3. Write a sentence • at least 2 rich words (1 action) • correct spelling • correct punctuation • correct subject/predicate agreement • clear and clean writing • DAY 3 and/or DAY 4 • 1. Review the word • Friendly Definition • Physical Representation • 2. Show how the word works • Synonyms/antonym • Word Problems • Relatedwords/phrases • Example/non-example

  15. Title: 6.2 Apply Slope-Intercept Form to Solve Word Problems Date: SUPPORT Class Learning Target By the end of the period, I will apply the slope formula and the slope-intercept form to write equations and solve word problems. I will demonstrate this by completing Four-Square Notes and by solving problems in a pair/group activity.

  16. Home Work 1-2-3: 1) Class 4-Square Notes Put In Binder? 2) Section 6.2 Pg. 334-3353) Section ______ TxtBk.Prob. #28,33,37-43 ALL Notes Copiedon blank sheet Solved and Put in Binder? of paper in Binder? Table of Contents Date Description Date Due

  17. Ticket OUT. Write an equation of the line that passes through the points (1, 5)and (4, –1). Step 1: Find the slope between 2 points Step 2: Find the value of b using m and 1 point Step 3: Write general y = mx + b equation

  18. Ticket OUT. Write an equation of the line that passes through the points (1, 5)and (4, –1). Step 1: Find the slope between 2 points -1 - 5 -6 -2 m = = = 4 - 1 3 Step 2: Find the value of b using m and 1 point Step 3: Write general y = mx + b equation y= -2x+ 7 -1= -2(4) + b -1 = -8 + b 7 = b

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