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Unit 1 Equations and Inequalities Learning Goal : The student is expected to create equations and inequalities in one variable and use them to solve problems explaining each step and constructing viable argument to justify their solution method. When given a real world scenario they must also state any constraints and interpret the solution of the equations or inequalities in its context. Essential Questions: How do you use quantitative reasoning to solve real-world problems? How can you use algebraic models to solve real-world problems? How do you use an equation to model and solve a real-world problem? How do you rewrite formulas and literal equations? How do you write and solve an inequality that represents a real-world situation? How can you solve a compound inequality and graph the solution set? Standards in this unit MAFS.912.A-REI.1.1: (DOK 3). MAFS.912.A-CED.1.1: (DOK 2) Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step while recalling the properties of equality starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method. Create equations and inequalities with one variable and use them to solve problems and model real-world situations Describe the relationships between the quantities in the problem, express these relationships using mathematical operations to create an appropriate equation or inequality MAFS.912.A-CED.1.3: (DOK 3) Represent constraints by equations or inequalities, and interpret solutions as viable or non-viable options in a modeling context. MAFS.912.A-CED.1.4 (DOK 1) Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations. For example, rearrange Ohm’s law V = IR to highlight resistance R. August 15-September 9 Length of Unit 17 days Assessments Pre Test-______ Equation Quiz 1 ______ Equation Quiz 2 ______ Inequality Quiz _____ Unit 1 Test _____ Unit 1 Equations and Inequalities MAFS.912.A-REI.2.3: (DOK 3) MAFS.912.A-SSE.1.1:a (DOK 2) MAFS.912.A-SSE.1.1:b (DOK 2) 1. Precision 2. Accuracy 3. Significant digits 4. Equation 5. Expression 6. Numeric expression 7 Algebraic expression 8. Term 9. Coefficient 10. Constant 11. Variable 12. Solution 13. Properties of equality 14. Union/ disjunction Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters. Recall properties of equality Interpret expressions that represent a quantity in terms of its context. Interpret parts of an expression, such as terms, factors, and coefficients Interpret expressions that represent a quantity in terms of its context. Interpret complicated expressions by viewing one or more of their parts as a single entity. Vocabulary Online Resources: 15. Literal Equation 16. Inequality 17. Compound Inequality 18. Intersection/conjunction 19. Absolute Value 20. Simplify 21. Proportion 22. Ratio 23. Scale Model 24. Dimensional Analysis 25. Conversion factor www.algebranation.com User name: last, first Password: Student number www.thinkcentral.com User name: computer sign in Password: Student number www.khanacademy.org you create using Gmail Acct. schoology. Unit 1 Equations and Inequalities Day 1 Whole Class 1. Pre test Unpack the standards Path A Class Driven Path B Computer Driven Day 2 Introduce Unit –Bell ringer Unit 1 Page 2 I do assess and Monitor We do Cornell Notes: Modeling with Expressions Page 45-47 You do Homework Page 49-52 Day 2 Day 3 Solving one and two step equations I do Assess and Monitor We do: Cornell Notes and Page 8 Your turn You do: Homework Page 9-13 Password student number Day 4 Multi step Equations with distributing and clearing decimals and fractions I do: Assess & Monitor We Do: Cornell Notes You Do: Homework Worksheet Day 5 Equations with Variables on both sides I do: Assess & Monitor We Do: Cornell Notes You Do: Homework Worksheet Day 6 Cooperative Day – Scribe and Squire Page 62 -66 (1-25) Homework: Create a four square thinking map and explain how to solve these 4 types of equations using properties. At least one square must be a real world scenario. Day 7 Special Equations & Equation Quiz I do: assess & Monitor We do: Cornell Notes: You do: Worksheet Go to Math Nation. Sign in User name last name first initial Create Cornell Notes with summaries included on the following videos. NGSSS – Section 3 longer version video 1 &2 NGSSS Section 3 Longer Version video 2 NGSSS Section 3 Longer Version video 3 Teacher check________ Equation Quiz 1 NGSSS Section 4 Longer Version video 1 NGSSS Section 4 Longer Version video 3 Extra Practice Problems – Optional Teacher Check__________ Equation Quiz 2