Designed to meet the high frequency MAFS benchmarks and review the critical reporting categories of the curriculum prior to the FSA assessments.

Transcription

1 Mathematics FSA Review Outline Designed to meet the high frequency MAFS benchmarks and review the critical reporting categories of the curriculum prior to the FSA assessments. Grouping of Students: Create a Dream Team. Divide all classes (Intensive 9 th, Intensive 10 th, Algebra I, Algebra II and Geometry) into differentiated groups to provide enrichment to those students that are guaranteed passing scores on the upcoming FSA and remediation for students with deficiencies and misconceptions based on pre-benchmark assessments. Student Groups High Potential to Pass student(s) o Independent or Paired o Enrichment Material o Content Heavy (Performance tasks, investigation and discovery activities) Moderate - Bubble Students o Teacher Lead (Mini Lessons) o Small groups (3 to 4 students) o Address misconceptions and misunderstandings Lower o Interventionist Lead (Mini Lessons) o Focus on skills and basic concepts o Guided worksheets and steps provided Instructional Model Most Difficult Task - A pre-assessment will be provided during the bellringer whereby students are given the opportunity to do the most difficult items on a given assessment first to demonstrate mastery or understanding of a grade level concept. If students are able to demonstrate mastery, then they will proceed to the selected enrichment activities for that period. If students are unable to demonstrate mastery, students will be divided into the moderate or lower groups. Questions from previous unit assessments can be used for the pre-assessment during the bellringer. Students will score their assessments and the teacher will instruct students to their designated groups.

2 Pacing Bell Ringer: minutes (Pre-Assessment No more than 5 questions) I Do : 20 Minutes (Moderate and Lower groups only) DI Group Rotations: Group Level 1 st Rotation 2 nd Rotation 3 rd Rotation Interventionist Lead Interventionist Lead Student Center Low Mini Lesson We Do Activity Guided Group Activity Moderate High Teacher Lead Mini Lesson Investigation Group Activity Teacher Lead We Do Investigation Activity Investigation Individual Student Center Group Activity Investigation Group Activity Closure 15 minutes (Lesson Summary/ Exit Slip/ Lesson Assessment/Performance Task)

3 Algebra I Focus Categories: **Moderate and High Groups Only 1. Linear Equations in Two Variables a. Graphing Linear Equations b. Writing Linear Equations c. Arithmetic and Geometric Sequences d. System of Linear Equations and Inequalities (MAFS.912.A-CED.1.2, MAFS.912.A-CED.1.3, MAFS.912.F-BF.1.1, MAFS.912.A- REI.3.5, MAFS.912.A-REI.3.6, MAFS.912.A-REI.4.10, MAFS.912.A-REI.4.11, MAFS.912.A REI.4.12, MAFS.912.F-IF.1.3) 2. Modeling with Functions (Linear, Exponential, Polynomials and Quadratic) a. Comparing Functions b. Key Features of a Function c. Continuous functions d. Transformations e. Scatter Plots and Line of Best Fit f. Correlation and Causation g. Regression (MAFS.912.A-REI.4.11, MAFS.912.F-LE.1.1, MAFS.912.F-LE.1.2, MAFS.912.S-ID.2.6, MAFS.912.F-BF.2.3, MAFS.912.F-IF.3.7a, MAFS.912.F-IF.2.4, MAFS.912.F-IF.2.6, MAFS.912.F-IF.3.8, MAFS.912.F-LE.1.1, MAFS.912.F-LE.1.2, MAFS.912.F-LE.1.3, MAFS.912.F-LE.2.5) 3. Factoring Polynomials a. Common Factors b. Grouping c. Special Products d. Difference of Squares e. Sum or Differences of Cubes 4. Descriptive Statistics a. Data Plots, Distribution, Data Analysis, Two-Way Frequency (MAFS.912.S-ID.1.1, MAFS.912.S-ID.1.2, MAFS.912.S-ID.1.3, MAFS.912.S-ID.2.5, MAFS.912.S-ID.2.6)

4 **Low Groups Only 1. The Real Number System a. Subsets of the Real Numbers b. Properties of Real Numbers c. Order of Operations 2. Algebraic Expressions a. Evaluating Algebraic Expressions b. Simplifying Algebraic Expressions 3. Properties of Exponents a. Integer Exponents b. Rational Exponents (MAFS.912.N-RN.1.2, MAFS.912.N-RN.2.3) 4. Properties of Equality 5. Linear Equations in One Variable 6. Solving Literal Equations 7. Solving/Graphing Simple and Compound Inequalities 8. Real World Applications (MAFS.912.A-CED.1.1, MAFS.912.A-CED.1.3, MAFS.912.A-CED.1.4, MAFS.912.A- REI.1.1, MAFS.912.A-REI.2.3) 9. Domain and Range of a Relation 10. Functions a. Identifying Functions b. Domain and Range of a Function c. Evaluating Functions d. Function Notation e. Writing functions that model a real-world situation. (MAFS.912.F-IF.1.1, MAFS.912.F-IF.1.2, MAFS.912.F-IF.2.5) 11. Linear Equations in Two Variables a. Graphing Linear Equations b. Writing Linear Equations 12. Linear Inequalities in Two Variables (MAFS.912.A-CED.1.2, MAFS.912.A-CED.1.3)

5 Geometry Focus Categories: **Moderate and High Groups Only 1. Rigid Transformations a. Reflection b. Rotations c. Translations d. Composition of Transformations e. Non-Rigid Transformations f. Symmetry (MAFS.912.G-CO.1.2, MAFS.912.G-CO.1.5) 2. Congruent Triangles a. Proving Congruency b. Relationships in Triangles i. Bisectors ii. Medians iii. Altitudes iv. Midsegments (MAFS.912.G-CO.2.6, MAFS.912.G-CO.2.7, MAFS.912.G-CO.2.8, MAFS.912.G- CO.3.10, MAFS.912.G-SRT.2.5) 3. Similarity and Trigonometry a. Dilations and Similarity b. Applications of Similarity (MAFS.912.G-SRT.1.1, MAFS.912.G-SRT.1.2, MAFS.912.G-SRT.1.3) 4. The Pythagorean Theorem 5. Trigonometry in Right Triangles (MAFS.912.G-SRT.2.4, MAFS.912.G-SRT.3.6, MAFS.912.G-SRT.3.7, MAFS.912.G- SRT.3.8) 6. Proving Quadrilateral a. Parallelograms b. Rectangles c. Rhombi and Squares d. Area and Perimeter e. Distance and Midpoint f. Coordinate Proofs with Quadrilaterals

6 (MAFS.912.G-GPE.2.4, MAFS.912.G-GPE.2.5, MAFS.912.G-GPE.2.6, MAFS.912.G- GPE.2.7) **Low Groups Only 1. Tools of Geometry a. Definitions b. Basic Constructions c. Theorems about Lines and Angles (MAFS.912.G-CO.1.1, MAFS.912.G-CO.3.9, MAFS.912.G-CO.4.12) 2. Classifying Triangles a. Angles of Triangles b. Triangle Inequality c. Area and Perimeter (MAFS.912.G-CO.3.10, MAFS.912.G-GPE.2.7) 3. Solving with the Pythagorean Theorem 4. Solving with Trigonometry in Right Triangles (MAFS.912.G-SRT.2.4, MAFS.912.G-SRT.3.6, MAFS.912.G-SRT.3.7, MAFS.912.G-SRT.3.8) 5. Classifying Quadrilateral a. Parallelograms b. Rectangles c. Rhombi and Squares d. Area and Perimeter e. Distance and Midpoint f. Coordinate Proofs with Quadrilaterals (MAFS.912.G-GPE.2.4, MAFS.912.G-GPE.2.5, MAFS.912.G-GPE.2.6, MAFS.912.G- GPE.2.7)

7 Algebra II Focus Categories: **Moderate and High Groups Only 1. Polynomial Functions a. Polynomial Functions b. Dividing Polynomials c. Solving Polynomial Equations d. Transforming Polynomial Functions e. Modeling with Polynomials f. Rational Functions and Their Graphs g. Rational Expressions h. Solving Rational Equations (MAFS.912.A-APR.1.1, MAFS.912.A-APR.4.6, MAFS.912.A-REI.4.11, ) 2. Solving Functions a. Linear Equations and Inequalities b. Solving Quadratic Equations over the Set of Real c. Quadratic Formula (MAFS.912.A-CED.1.1, MAFS.912.A-CED.1.2, MAFS.912.A-REI.1.1, MAFS.912.N- CN.3.7, MAFS.912.G-GPE.1.2, MAFS.912.A.SSE.2.3) 3. Modeling with Functions (Linear, Exponential, Logarithm, Polynomials, Quadratic and Trigonometric) a. Comparing Functions b. Key Features of a Function c. Continuous functions d. Transformations e. Exponential and Logarithmic Equations f. Natural Logarithms g. The Unit Circle h. Trigonometric Identities (MAFS.912.A-REI.4.11, MAFS.912.F-LE.1.1, MAFS.912.F-LE.1.2, MAFS.912.S-ID.2.6, MAFS.912.F-BF.2.3, MAFS.912.F-IF.3.7a, MAFS.912.F-IF.2.4, MAFS.912.F-IF.2.6, MAFS.912.F-IF.3.8, MAFS.912.F-LE.1.1, MAFS.912.F-LE.1.2, MAFS.912.F-LE.1.3, MAFS.912.F-LE.1.4, MAFS.912.F-LE.2.5) 1. Probability a. Independence and Conditional Probability b. Probability of Compound Events c. Evaluating Outcomes of Decisions

8 (MAFS.912.S-CP.1.1, MAFS.912.S-CP.1.2, MAFS.912.S-CP.1.3, MAFS.912.S-CP.1.4, MAFS.912.S-CP.1.5, MAFS.912.S-CP.2.6, MAFS.912.S-CP.2.7) **Low Groups Only 1. Linear Systems a. Systems of Equations with Two Variable b. Systems of Inequalities c. Linear Programming d. Solving Systems of Equations with Three Variables (MAFS.912.A-CED.1.3, MAFS.912.A-REI.3.6, MAFS.912.F-BF.1.1a) 2. Functions a. Operations with Functions b. Functions and Their Inverse (MAFS.912.G-CO.3.10, MAFS.912.G-GPE.2.7) 3. Solving with the Pythagorean Theorem 4. Solving with Trigonometry in Right Triangles (MAFS.912.F-BF.1.1b, MAFS.912.F-BF.1.1c, MAFS.912.F-BF.2.4, MAFS.912. F-IF.3.7b MAFS.912.F.IF.3.9) 5. Sequences and Series a. Arithmetic Sequences b. Geometric Sequences c. Arithmetic Series d. Geometric Series (MAFS.912.A-SSE.2.4, MAFS.912.F-BF.1.1a, MAFS.912.F-BF.1.2) 6. Probability a. Independence and Conditional Probability b. Probability of Compound Events c. Evaluating Outcomes of Decisions (MAFS.912.S-CP.1.1, MAFS.912.S-CP.1.2, MAFS.912.S-CP.1.3, MAFS.912.S-CP.1.4, MAFS.912.S-CP.1.5, MAFS.912.S-CP.2.6, MAFS.912.S-CP.2.7)