Name: John Toney
Date: 9-1-14
Lesson Topic (Modules, if applicable):
Solving linear equations and inequalities
Classifying real numbers
Order of Operations
Properties of Real Numbers
Solving Linear Equations
Solving Absolute Value Equations
Solving Inequalities
Graphing Inequalities
Student Objectives (Competencies/Outcomes):
Classify real numbers
Use order of operations and properties of real numbers to evaluate expressions
Solve linear & absolute value equations
Translate verbal expressions into algebraic expressions and equations
Solve and graph on a number line simple, compound and absolute value inequalities.
Content Area: Mathematics
Length of Lesson: 20 days
STAGE I – DESIRED RESULTS
Big Ideas:
2.2.11.C: Evaluate numerical expressions that include the four basic operations and operations of powers and roots, reciprocals, opposites, and absolute values.
2.8.11.B: Evaluate and simplify algebraic expressions and solve and graph linear, quadratic, exponential, and logarithmic equations and inequalities, and solve and graph systems of equations and inequalities.
2.8.11.E: Use combinations of symbols and numbers to create expressions, equations, and inequalities in two or more variables, systems of equations and inequalities, and functional relationships that model problem situations.
2.8.11.F: Interpret the results of solving equations, inequalities, systems of equations, and inequalities in the context of the situation that motivated the model
Essential Questions:
How can we show that algebraic properties and processes are extensions of arithmetic properties and processes, and how can we use algebraic properties and processes to solve problems?
Understanding Goals (Concepts):
Linear relationships: Equation and inequalities in one and two variables:
1.
Classifying real numbers
2.
Using order of operations and properties of real numbers to evaluate expressions.
3.
Solving linear & absolute value equations.
4.
Translating verbal expressions into algebraic expressions and equations.
5.
Solving and graphing on a number line simple, compound and absolute value inequalities.
Vocabulary:
Algebraic Expressions
Order of operations
Distributive Property
Equation
Absolute Value
Students will be able to: Use algebraic properties and processes in mathematical situations and apply them to solve real world problems.
STAGE II – ASSESSMENT EVIDENCE
Performance Task:
Students will demonstrate adequate understanding via a chapter test.
Formative Assessments:
Pre-assessments, open-ended questions, Think-Pair-Share
STAGE III – LEARNING PLAN
Interventions:
Flexible grouping, students will be encouraged to attend Trig Lab
Materials and Resources:
Textbook, notes
Instructional Procedures*:
Monday
Date: 9/1 Day: A
No school
Tuesday
Date: 9/2 Day: B
“Do Now” – Collins writing assignment
“Mini Lesson” – Use order of operations to evaluate expressions.
Use formulas a substitution to evaluate expressions
Notebook problems 1-6
Section 1-1
Wednesday
Date: 9/3 Day: A
“Do Now” – Evaluate expressions
“Mini Lesson” – Use order of operations to evaluate expressions.
Use formulas a substitution to evaluate expressions
Worksheet page 3
Thursday
Date: 9/4 Day: B
“Do Now” – Evaluate expressions using substitution
“Mini Lesson” – Classify
Numbers and name properties of real numbers
Notebook problems 1-7
Section 1-2
Friday
Date: 9/5 Day: A
“Do Now” – Name sets of numbers where each number belongs
“Mini Lesson” – Classify
Numbers and name properties of real
numbers
Worksheet page 9
*Include Do Now, Mini Lesson, Guided Practice, Independent Practice, Summations/Formative Assessments, Reflections