Math Standard A.3 The student will express the square roots and cube roots of whole numbers and the square root of a monomial algebraic expression in simplest radical form. Definition Key Verbs at Level Bloom’s Taxonomy/Webb’s Depth of Knowledge Level 4- Above Proficient Superior performance with independence Student demonstrates skills from the proficient category and uses them to others the concepts of expressing both square root and cube root monomial algebraic expressions. Express Evaluate Connect Simplify Compare (Bloom) Level 3-Strategic thinking (Webb) Level 4- Extended thinking (Webb) 3- Proficient (based on SOL Curriculum Framework) Adequate performance and accuracy Student expresses square roots of a whole number in simplest form. Student expresses the cube root of a whole number in simplest form. Student expresses the principal square root of a monomial algebraic expression in simplest form where variables are assumed to have positive values. Express Evaluate Connect Simplify Express (Bloom) Evaluate Connect Simplify (Bloom) Level 2- Skill/Concept (Webb)
Definition Key at Level Bloom’s Taxonomy/Webb’s Depth of Knowledge Level 4- Proficient Superior performance with independence Student demonstrates skills from the proficient category and uses them to teach others the concepts. Students will make connections between two real world linear conditions that can be modeled simultaneously. Teach Connect Interpret Solve Evaluate Identify Write Compare (Bloom) Interpret (Bloom) Level 3-Strategic thinking (Webb) 4- Extended thinking (Webb) 3- Proficient (based on SOL Curriculum Framework) Adequate performance and accuracy Student solves real-world problems involving inequalities. Student solves systems of linear inequalities algebraically and graphically. Solve Evaluate Identify Solve (Bloom) Evaluate (Bloom) Identify (Bloom) Write (Bloom) Level 2- Skill/Concept (Webb) 2- Proficient Meets competency with assistance, needs support and practice Student is proficient in a limited number of these skills: Solving by Graphing Identify solutions within the solution set Solve Evaluate Identify Evaluate (Bloom) 1- Recall (Webb) 1- Insufficient Evidence of Proficiency Has difficulty, even with support Student is emerging in proficiency in any of the skills described in the proficient category. Solve Evaluate Identify Write Evaluate (Bloom) Level 1- Recall (Webb)
Depth of Knowledge Level 4- Above Proficient Superior performance with independence Student demonstrates skills from the proficient category and uses them to others the concepts. Student will use inductive reasoning to make conjectures about functions. Teach Investigate Analyze Identify Evaluate Describe Classify Represent Compare (Bloom) Analyze (Bloom) Investigate Level 3-Strategic thinking (Webb) 4- Extended thinking (Webb) 3- Proficient (based on SOL Curriculum Framework) Adequate performance and accuracy Student determines whether a relation, represented by a set of ordered pairs, a table, or a graph is a function. Student identifies the domain, range, zeros, and intercepts of a function presented algebraically or graphically. For each x in the domain of f, the student finds f(x). Student represents relations and functions using concrete, verbal, numeric, graphic, and algebraic forms. Given one representation, student represents the relation in another form. Student detects patterns in data and represent arithmetic and geometric patterns algebraically. Identify Evaluate Describe Classify Represent Identify (Bloom) Evaluate (Bloom) Describe (Bloom) Classify (Bloom) Represent Level 2- Skill/Concept (Webb) 2- Below Proficient Meets competency with assistance, needs support and practice Student is proficient in a limited number of these skills: Identifying Functions Identifying Domain and Identifying Zeros Evaluating Functions Identify Evaluate Describe Classify Represent Identify (Bloom) Level 1- Recall (Webb) 1- Insufficient Evidence of Proficiency Has difficulty, even with support Student is emerging in proficiency in any of the skills described in the proficient category. Identify Evaluate Describe Classify Represent Identify (Bloom) Level 1- Recall (Webb)
Meets competency with assistance, needs support and practice Graphing Direct Variation Calculating Constant of Proportionality Writing Direct Variation Equations Writing Inverse Variation Equations Evaluate Identify Describe (Bloom) Level 1- Recall (Webb) 1- Insufficient Evidence of Proficiency Has difficulty, even with support Student is emerging in proficiency in any of the skills described in the proficient category. Write Evaluate Identify Describe Identify (Bloom) (Bloom) Level 1- Recall (Webb) Math Standard A.9 The student, given a set of data, will interpret variation in real-world contexts and calculate and interpret mean absolute deviation, standard deviation, and z-scores.
Definition Key Verbs at Level Bloom’s Taxonomy/Webb’s Depth of Knowledge Level 4- Above Proficient Superior performance with independence Student demonstrates skills from the proficient category and uses them to teach others the concepts. Student analyzes statistics to determine the implications for the real-world situations from which the data derive. Teach Analyze Evaluate Interpret Compare Explain Compare (Bloom) Analyze (Bloom) Level 3-Strategic thinking (Webb) 4- Extended thinking (Webb) 3- Proficient (based on SOL Curriculum Framework) Adequate performance and accuracy Given data, including data in a real-world context, the student calculates and interprets the mean absolute deviation of a data set. Given data, including data in a real-world context, the student calculates variance and standard deviation of a data set and interpret the standard deviation. Given data, including data in a real-world context, the student calculates and interprets z-scores for a data set. Student explains ways in which standard deviation addresses dispersion by examining the formula for standard deviation. Student compares and contrasts mean absolute deviation and standard deviation in a real-world context. Evaluate Interpret Compare Explain Evaluate (Bloom) Interpret (Bloom) Compare (Bloom) Explain Level 2- Skill/Concept (Webb) 2- Below Proficient competency with assistance, needs support and practice Student is proficient in a limited number of these skills: Calculating Mean Absolute Deviation Calculating Standard Deviation and Variance Calculating Z-Scores Evaluate Interpret Compare Explain Calculate Level 1- Recall (Webb) 1- Insufficient Evidence of Proficiency Has difficulty, even with support Student is emerging in proficiency in any of the skills described in the proficient category. Evaluate Interpret Compare Explain Calculate (Bloom) Level 1- Recall (Webb)