Unit 1A : Numbers and Expression Code Mathematics Florida Standards SMP A-SSE.1.1 Interpret expressions that represent a quantity in terms of its context. Interpret parts of an expression, such as terms, factors, and coefficients. Interpret complicated expressions by viewing one or more of their parts as a single entity. For example, interpret P(1+r)t as the product of P and a factor not depending on P. 5 A-SSE.1.2 Use the structure of an expression to identify ways to rewrite it. 8 N-Q.1.1 Use units as a way to understand problems and to guide the solution of multi-step problems. 1, 6 N-Q.1.3 Choose a level of accuracy appropriate to limitations on measurement when reporting quantities. 6 N-RN.1.1 Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to values, allowing for a notation for radicals in terms of rational exponents. 8 N-RN.1.2 Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values, allowing for a notation for radicals in terms of rational exponents. 8 N-RN.2.3 Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and irrational number is irrational. 2 Learning Goal and Scale Additional Notes Note common errors on TE p61 & p69 For 3.1 Evaluating Expressions: Students’ previous knowledge should allow independent understanding of Examples 1 and 2. Math Practices for Unit Unit Connections Instructional Resources 1. Make sense of problems and persevere in solving them. 5. Use appropriate tools strategically. Students were previously taught to understand numbers and expressions through: Integer exponents Evaluating cube roots Evaluating square Commutative, Associative, and Distributive properties Professional Development Module 1: p.16 Example 1 Module 2: p.38 Example 1 Module 3: p.64 #39 BOOKS RULERS 2. Reason abstractly and quantitatively. 6. Attend to precision. 3. Construct viable arguments & critique reasoning of others. 7. Look for and make use of structure. 4. Model with mathematics. 8. Look for and express regularity in repeated reasoning.
QUARTER Unit 1A: Numbers and Expressions Learning Goal Suggested # of Days 12 Approx. # of Day(s) MAFS Lesson Objective (Instructional Resources) Suggested Problems/Assessments Ancillary Materials 2 N-Q.1.3 Precision and Significant Digits Engage: p.8 Explore Activity Explain: Examples 1, 2, 3** Evaluate: p.12 #10 p.14 #25, 27 BOOKS AND RULERS 1 N-Q.1.1 Dimensional Analysis Engage: p.17 Examples 2, 3 Explain: p.20 #7 Evaluate: p.21 #9-14, 17 p.22 #23 1 N-Q.1.1 N-Q.1.3 to Go On?/Assessment Readiness 1 N-RN.1.1 N-RN.1.2 2.1 Radicals and Rational Exponents Engage: p.29 Explore Activity Explain: Examples 1a, 2a, 3a Evaluate: p.32 #8 p.35 #20, p.36 #42 1 N-RN.2.3 2.2 Real Numbers Engage: p. 37 Explore Activity 1 Explain: p.38 Example 1, p.39 Explore Activity 2 Evaluate: p.42 #6, p.44 #27,28 1 N-R.1.2 N-R.2.3 Ready to Go On?/Assessment Readiness Possible quiz day 1 A-SSE.1.1 3.1 Evaluating Expressions Engage: p.51 Explore Activity Explain: p.54 #3, p.55 #15, 16 Evaluate: p.55 #12 p.56 #18, 19 1 A-SSE.1.2 3.2 Simplifying Expressions Engage: p.57 Explore Activity Explain: p.59 Example 2, p.60 Example 3 Evaluate: p.63 #28, 33 p.64 #39 1 N-Q.1.1 3.3 Writing Algebraic Expressions Engage: p.65 Explore Activity 1 Explain: p.66 Example 1, p.70 #5 Evaluate: p.69 #16, p.71 #10, p.72 #12 1 A-SSE.1.1 A-SSE.1.2 Ready to Go On?/Assessment Readiness Study Guide Review
Math Practices for Unit Unit Connections Instructional Resources 1. Make sense of problems and persevere in solving them. 5. Use appropriate tools strategically. Students were previously taught to understand linear relationships through: Using equations in one and two variables Solving inequalities in one variable Solving for a variable Using functions to generate ordered pairs Using sequences to write explicit and recursive rules Professional Development Video Module 6: review of functions by input/output & by graph Module 7: p227 Explore Activity , p232 #18 Module 8: p249 correlation coefficients, p.250 Example 2 Module 9: p.284 #19 GRAPHING CALCULATOR FOR 6.6 WORKSHEET ON BLACKBOARD FOR 6.4 2. Reason abstractly and quantitatively. 6. Attend to precision. 3. Construct viable arguments & critique reasoning of others. 7. Look for and make use of structure. 4. with mathematics. 8. Look for and express regularity in repeated reasoning.
F-LE.1.3 Observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or (more generally) as polynomial function. 5 Learning Goal and Additional Notes **“Example” should include the “Your Turn” problems. Note the Common Errors listed on TE pages 665, 669, 683, 693, 697, 705, 713, 723, 727, and 735. Math Practices for Unit Unit Connections Instructional Resources 1. Make of problems and persevere in solving them. 5. Use appropriate tools strategically. Students were previously taught to understand quadratic relationships through: Classifying polynomials Evaluating polynomial expressions Adding, Subtracting, and Multiplying polynomials Factoring polynomials Professional Development Video Module 17: p.635 Explore Activity, p.636 Example 1 Module 18: p.695 Your Turn #3 Module 19: p.742 Example 2 GRAPHING CALCULATOR 2. Reason abstractly and quantitatively. 6. Attend to precision. 3. Construct viable arguments & critique reasoning of others. 7. Look for and make use of structure. 4. Model with mathematics. 8. Look for and express regularity in repeated reasoning. FOURTH QUARTER Unit 5: Functions and Modeling Learning Goal # of Days 25 (10) Approx. # of Day(s) MAFS Lesson Objective (Instructional Resources) Suggested Questions/Assessments Ancillary Materials 2 F-BF.2.3 F-IF.2.5 17.1 Translating Quadratic Functions Engage: p.635 Explore Activity/ p.639 Example 3** Explain: p.636 Ex 1, p.638 Ex 2/ p.641 #9 Evaluate: p.640 #1-3, p.641 #6, 7, p.642 #10, 11, 13 2 17.2 Stretching, Shrinking, and Reflecting Quadratic Functions Engage: p.643 Explore Activity/ p.647 Example 3 Evaluate: p.649 #4, 6, 7, p.650 #8-10, 13
1 F-IF.3.7b 19.1 Square Root Functions Engage: p.725 Example 2 Explain: p.728 #2, 3 Evaluate: p.729 #10-16 Note: Standard is limited to square root functions; does not include inverse functions. 1 F-BF.2.3 19.2 Transforming Square Root Functions Engage: p.732 Explore Activity 2 Explain: p.734 Example 1 Evaluate: p.736 #1-4, p.737 #10, 11 2 19.4 Transforming Cube Root Functions Engage: p.748 Explore Activity 1/ p.752 #3 Explain: p.749 Explore Activity 2/ p.750 Example 1 Evaluate: p.752 #4, p.753 #6, 8, 9, p.754 #10, 13 1 F-BF.2.3 F-IF.3.7b to Go On?/Assessment Readiness Guide Review p.757-762 1 Unit 5 Assessment 10 FSA Review (3 days); FSA Testing (7 days) Unit 6: Radicals MAFS Code Mathematics Florida Standard SMP A-REI.1.2 simple rational and radical equations in one variable, and give examples showing how extraneous solutions may arise. 2, 7 Learning Goal and Scale Additional Unit 6 material is not in the Florida ACE textbook. Math Practices for Unit Unit Connections Instructional Resources 1. Make sense of problems and persevere in solving them. 5. Use appropriate tools strategically. Students were previously taught to understand radical expressions through: Simplifying Expressions with Rational Exponents Properties with Rational Exponents Graphing Square Root and Cube Root Functions Ancillary materials are hyperlinked and may also be found on Blackboard. 2. Reason abstractly and quantitatively. 6. Attend to precision. 3. Construct viable arguments & critique reasoning of others. 7. Look for and make use of structure. 4. Model with mathematics. 8. Look for and express regularity in repeated reasoning.
FOURTH QUARTER Unit 6: Radicals (after FSA) Learning Goal Suggested # of Days 8 (3) Approx. # of Day(s) MAFS Lesson Objective (Instructional Resources) Suggested Questions/Assessments Ancillary Materials 2 A-REI.1.2 Simplifying Radicals 3 Operations with Radical Expressions 2 Solving Radical Equations 1 Assessment 3 9 Week Exam (3 days)