Topic/Objective: U2L5:Reviewing Inequalities Name: TSW use what we know about math key words to predict the meaning of inequality symbols. TEKS 7.10A 7.10B TSW investigate one-step inequalities and what the symbols mean in a quizizz lesson. ELPS c1A Essential Question: H o w c a n w e u s e m o d e l s t o s o l v e o n e v a r i a b l e t w o - s te p e q u a t i o n s a n d i n e q u a l i t i e s ? Vocabulary Inequalities Symbols Practice: An inequality is a mathematical sentence that compares quantities using <, >, <, or >. Observe the table below: Name Key Word < Less than Less than Fewer than > Greater Than Greater than More than < Less Than or Equal to No more than Maximum At most > Greater Than or Equal to No less than Minimum At least GRAPHING Katie has at most $25 in her pocket. Inequality: ________________ Graph: Derrick is thinking of a number that is more than 7. Inequality: _________________ SOLVE: Graph: Morgan runs 3 miles on Monday, and runs more on Tuesday. She ran at least 4 miles in total. Inequality:__________________ Graph: Solve the one-step equations: Solve the one-step equations: 13–x=4 Warm-Up Warm-Up 13–x=4 Name: ________________ Date: _________ Period: 1 2 5 6 7 Name: ________________ Date: _________ Period: 1 2 5 6 7 Topic/Objective: U2L6:Solving One-Step Inequalities Name: We will express opinions, ideas, and feelings about our abilities to solve one-step inequalities using academic vocabulary. TEKS 7.10A 7.10B TSW solve One-Variable One-Step Inequalities with partners on a cut n’ paste activity. Essential Question: H o w c a n w e u s e m o d e l s t o s o l v e o n e v a r i a b l e t w o - s te p e q u a t i o n s a n d i n e q u a l i t i e s ? Model Key: Model < Remember when we divided by a negative we have to flip the inequality symbol around. Inverse + X ÷ + ÷ X Step 2: Graph on the number line A+4<9 Graph: Model Step 1: Use the opposite or inverse operation to solve for the vairbale. Operation Inequality > Inequality X – 5 > 13 Graph: Model Inequality 25 m = 100 *To much to draw out Graph: ELPS c1A Name: ______________ Date: __/__/____ Period 1 5 Cut N’ Paste Directions: Solve the inequalities. Cut n’ paste the solution and graph to each. 4x < -12 Paste Solution Paste Graph 5x > 25 Paste Solution Paste Graph Paste Solution Paste Graph X + 19 > 36 Paste Solution Paste Graph 18 + x > 22 Paste Solution Paste Graph X – 50 < 45 Paste Solution Paste Graph Paste Solution Paste Graph 7 Name: ______________ Date: __/__/____ Period 1 5 Cut N’ Paste Directions: Cut each card out to paste to the worksheet attached. X > 100 100 X>4 Paste Graph X>5 Paste Graph X < -3 Paste Graph 4 95 45 X > 17 Paste Graph 17 X < 45 Paste Graph 5 X < 95 Paste Graph -3 7 Inequality:________________________ Solve the inequality X < ______________ Inequality:________________________ Solve the inequality X < ______________ < Exit Ticket Exit Ticket < Name: ________________ Date: _________ Period: 1 2 5 6 7 Name: ________________ Date: _________ Period: 1 2 5 6 7 B. 3 C. 1 D. 4 C. 1 D. 4 3+x>5 3+x>5 B. 3 What value(s) of x meets this inequality?: What value(s) of x meets this inequality?: A. 2 Warm-Up Warm-Up A. 2 Name: ________________ Date: _________ Period: 1 2 5 6 7 Name: ________________ Date: _________ Period: 1 2 5 6 7 Topic/Objective: U2L7:Model/Write/Solve 2-Step Inequality Name: TSW use what we know about math key words to predict the meaning of inequality symbols. TEKS 7.10A 7.10B TSW investigate models involving two-step inequalities and determining the value of variable that meets the inequality ELPS c1A Essential Question: H o w c a n w e u s e m o d e l s t o s o l v e o n e v a r i a b l e t w o - s te p e q u a t i o n s a n d i n e q u a l i t i e s ? Model Models Inequality: __________________ Solution:___________________ What if the constant is negative? Inequality: ___________________ Solution: __________________ What if the coefficient is negative? Inequality: ________________ Solution:_________________ Topic/Objective: U2L7:Model/Write/Solve 2-Step Inequality Name: TSW use what we know about math key words to predict the meaning of inequality symbols. TEKS 7.10A 7.10B TSW investigate models involving two-step inequalities and determining the value of variable that meets the inequality ELPS c1A Essential Question: H o w c a n w e u s e m o d e l s t o s o l v e o n e v a r i a b l e t w o - s te p e q u a t i o n s a n d i n e q u a l i t i e s ? Model Model #1 Inequality: __________________ Solution:___________________ What if the constant is negative? Inequality: ___________________ Solution: __________________ What if the coefficient is negative? Inequality: ________________ Solution:_________________ Name: _____________ Period: 1 5 7 Modeling Two-Step Inequalities Directions: Look at the picture provided for each question. Write an Inequality to match the picture. Solve for the unknown. Inequality: 1 X> Model: Inequality: 4x – 8 < 16 < 2 X< Inequality: 3 X> Model: 4 Inequality: 2x + 4 > 8 > X> Name: _____________ Period: 1 5 7 Modeling Two-Step Inequalities Directions: Look at the picture provided for each question. Write an Inequality to match the picture. Solve for the unknown. Model: Inequality: 4x – 3 > 9 5 X> Model: Inequality: 3x + 7 > 31 6 X> Model: Inequality: 5x – 2 < 13 7 X< Model: Inequality: -5x + 3 < 23 8 X> Exit Ticket Name: ________________ Date: _________ Period: 1 2 5 6 7 Exit Ticket Name: ________________ Date: _________ Period: 1 2 5 6 7 Inequality:________________________ Solve the inequality X < ______________ Inequality:________________________ Solve the inequality X < ______________ < < Name: ________________ Period Unit 3: Performance Task 1 2 A weather service records the temperature in degrees Fahrenheit each day and publishes the report in the newspaper at the end of the week. The graphic below shows a report from January. 1. David read the paper while eating breakfast and some of the information was smudged. Use the information below to find all of the missing high and low temperatures during the week. • On Tuesday, the low temperature was 3 degrees colder than on Monday. • On Thursday, the high temperature was 5 degrees warmer than the low temperature. • On Friday, the low temperature was 11 degrees higher than the low temperature on Saturday. 2. Graph each of the high and low temperatures on the number line: 3. What is the difference between the highest and the lowest temp?