Brenham ISD Unit Plan
Unit 15: Parent Functions (15 Days) | Honors Algebra 2 | |
What do we want students to know and be able to do? Step 1: Identify the essential standards for the unit. | ||
Essential Standards | Supporting Standards | |
A2.2A graph the functions f(x)=x , f(x)=1x , f(x)=x3, f(x)=3x , f(x)=bx , f(x)=x , and f(x)=logbx where b is 2, 10, and e, and, when applicable, analyze the key attributes such as domain, range, intercepts, symmetries, asymptotic behavior, and maximum and minimum given an interval A2.6A analyze the effect on the graphs of f(x) = x3 and f(x) = 3x when f(x) is replaced by af(x), f(bx), f(x - c), and f(x) + d for specific positive and negative real values of a, b, c, and d | A2.7I write the domain and range of a function in interval notation, inequalities, and set notation | |
What are the specific learning targets (bite-sized pieces of learning) that lead to students being able to accomplish the unit goals? Step 2: Unwrap the essential teks. | ||
Learning Targets (Student Objectives) | ||
What should students know and be able to do? (Information, processes, concepts, main ideas that students must know or understand) (Performance, skills, or actions students must do or demonstrate) | Big Ideas: Students will know and be able to do:
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What academic language / vocabulary should students acquire and use? (Include the term and definition) | Parent function - A parent function is the simplest function that still satisfies the definition of a certain type of function. For example, when we think of the linear functions which make up a family of functions, the parent function would be y = x. This is the simplest linear function. Constant function - a function whose (output) value is the same for every input value. Absolute value function - An absolute value function is a function that contains an algebraic expression within absolute value symbols. Square root function - is a function that maps the set of nonnegative real numbers onto itself. Linear function - In calculus and related areas, a linear function is a function whose graph is a straight line, that is, a polynomial function of degree zero or one. Quadratic function - In mathematics, a quadratic polynomial is a polynomial of degree two in one or more variables. A quadratic function is the polynomial function defined by a quadratic polynomial. Cubic function - In mathematics, a cubic function is a function of the form {\displaystyle f(x)=ax^{3}+bx^{2}+cx+d, } that is, a polynomial function of degree three. Reciprocal function - a function that can be inverted. For the reciprocal of a function, we alter the numerator with the denominator of the function. Exponential function - a function whose value is a constant raised to the power of the argument, especially the function where the constant is e. Logarithmic function - a function (such as y = loga x or y = ln x) that is the inverse of an exponential function (such as y = ax or y = ex) so that the independent variable appears in a logarithm. | |
How will we know if they have learned it? (common summative assessment) Step 3: Discuss evidence of the end in mind - How will you know if students achieved these standards? What type of task could they perform or complete by the end of the unit? With what level of proficiency? With what type of problem or text (stimulus)? Could include exemplars or a rubric. | ||
Students will demonstrate mastery of the unit by completing the following: Graph each function, describe the transformations from the parent function and identify the domain and range. | ||
Where in the unit does it make sense to see if our students are learning what we are teaching? What evidence will we collect along the way? (common formative assessment) Step 4: Plan the timing for common formative assessments - As the team designs the plan, include the quality instructional practices that support high levels of student learning. | ||
Sequential Plan for Unit Instruction and Monitoring Learning | ||
Days Into Instruction | Common Formative Assessment (What are the formative checkpoints?) | |
3 | Quiz 1 - Graph Constant, Linear, and Absolute Value | |
5 | Weekly classwork/homework average | |
7 | Quiz 2 - Graph Quadratics, Square Roots, Cubic, and Reciprocal | |
10 | Weekly classwork/homework average | |
Notes: | ||
