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Precalculus>Functions>Unit 1 Review

Unit 1 Review (Lessons 1.1-1.9)

Learning TargetsLesson HandoutsExperience FirstFormalize Later
  • Unit 0: Prerequisites
    • Day 1: The Cartesian Plane
    • Day 2: Equations of Circles
    • Day 3: Solving Equations in Multiple Representations
    • Day 4: Reasoning with Formulas
    • Day 5: Linear Relationships
    • Day 6: Linear Relationships (Reasoning with Slope)
    • Day 7: Set Notation and Interval Notation
    • Day 8: Unit 0 Review
    • Day 9: Unit 0 Test
  • Unit 1: Functions
    • Day 1: Functions and Function Notation
    • Day 2: Domain and Range
    • Day 3: Rates of Change and Graph Behavior
    • Day 4: Parent Functions
    • Day 5: Transformations of Functions
    • Day 6: Transformations of Functions
    • Day 7: Even and Odd Functions
    • Day 8: Quiz (Sections 1.1-1.6)
    • Day 9: Combinations of Functions
    • Day 10: Composition of Functions
    • Day 11: Inverse Functions
    • Day 12: Inverse Functions
    • Day 13: Piecewise Functions
    • Day 14: Unit 1 Review
    • Day 15: Unit 1 Test
  • Unit 2: Polynomial and Rational Functions
    • Day 1: Connecting Quadratics
    • Day 2: Completing the Square
    • Day 3: Polynomials in the Short Run
    • Day 4: Polynomials in the Long Run
    • Day 5: Review 2.1-2.4
    • Day 6: Factor and Remainder Theorem
    • Day 7: Factor and Remainder Theorem
    • Day 8: Complex Zeros
    • Day 9: Connecting Zeros Across Multiple Representations
    • Day 10: Quiz (Sections 2.3-2.5)
    • Day 11: Intro to Rational Functions
    • Day 12: Rational Functions: Zeros, Holes, and Vertical Asymptotes
    • Day 13: Unit 2 Review
    • Day 14: Unit 2 Test
  • Unit 3: Exponential and Logarithmic Functions
    • Day 1: Exponential Functions
    • Day 2: Graphs of Exponential Functions
    • Day 3: Compound Interest and an Introduction to "e"
    • Day 4: Quiz (Sections 3.1-3.3)
    • Day 5: Logarithmic Functions
    • Day 6: Graphs of Logarithmic Functions
    • Day 7: Logarithm Properties
    • Day 8: Solving Exponential and Logarithmic Equations
    • Day 9: Exponential and Logarithmic Models
    • Day 10: Unit 3 Review
    • Day 11: Unit 3 Test
  • Unit 4: Trigonometric Functions
    • Day 1: Right Triangle Trigonometry
    • Day 2: Inverse Trig Ratios
    • Day 3: Radians and Degrees
    • Day 4: The Unit Circle
    • Day 5: The Unit Circle
    • Day 6: Other Trig Functions
    • Day 7: Quiz (Sections 4.1-4.4)
    • Day 8: Graphs of Sine and Cosine
    • Day 9: Transformations of Sine and Cosine
    • Day 10: Graphing Secant and Cosecant
    • Day 11: Graphing Tangent and Cotangent
    • Day 12: Quiz (Sections 4.5-4.6)
    • Day 13: Inverse Trig Functions
    • Day 14: Trigonometric Modeling
    • Day 15: Trigonometric Identities
    • Day 16: Unit 4 Review
    • Day 17: Unit 4 Review
    • Day 18: Unit 4 Test
  • Unit 5: Applications of Trigonometry
    • Day 1: Law of Sines
    • Day 2: The Ambiguous Case (SSA)
    • Day 3: Law of Cosines
    • Day 4: Area and Applications of Laws
    • Day 5: Vectors
    • Day 6: Review
    • Day 7: Quiz (Sections 5.1-5.4)
    • Day 8: Polar Coordinates
    • Day 9: Equations in Polar and Cartesian Form
    • Day 10: Polar Graphs
    • Day 11: Polar Graphs
    • Day 12: Checkpoint Review
    • Day 13: Checkpoint (Sections 5.5-5.7)
    • Day 14: Parametric Equations
    • Day 15: Parametric Equations (With Trig)
    • Day 16: Unit 5 Review
    • Day 17: Unit 5 Test
  • Unit 6: Systems of Equations
    • Day 1: What is a Solution?
    • Day 2: Solving Systems with Substitution
    • Day 3: Solving Systems with Elimination
    • Day 4: Quiz (Sections 6.1-6.3)
    • Day 5: Solving Systems in Three Variables
    • Day 6: Solving Systems in Three Variables
    • Day 7: Partial Fractions
    • Day 8: Unit 6 Review
    • Day 9: Unit 6 Test
  • Unit 7: Sequences and Series
    • Day 1: Introducing Sequences
    • Day 2: Using Sequences and Series to Describe Patterns
    • Day 3: Arithmetic Sequences and Series
    • Day 4: Review
    • Day 5: Quiz (Sections 7.1-7.2)
    • Day 6: Geometric Sequences and Finite Series
    • Day 7: Infinite Geometric Sequences and Series
    • Day 8: Proof by Induction
    • Day 9: Proof by Induction
    • Day 10: Quiz (Sections 7.3-7.4)
    • Day 11: Review Unit 7
    • Day 12: Unit 7 Test
  • Unit 8: Limits
    • Day 1: What is a Limit?
    • Day 2: Evaluating Limits Graphically
    • Day 3: Evaluating Limits Analytically
    • Day 4: Evaluating Limits Analytically
    • Day 5: Evaluating Limits Analytically
    • Day 6: Review
    • Day 7: Quiz (Sections 8.1-8.2)
    • Day 8: Continuity
    • Day 9: Continuity
    • Day 10: Intermediate Value Theorem
    • Day 11: Intermediate Value Theorem
    • Day 12: Review
    • Day 13: Quiz (Sections 8.3-8.4)
    • Day 14: Limits at Infinity
    • Day 15: Review Unit 8
    • Day 16: Unit 8 Test
  • Unit 9: Derivatives
    • Day 1: Introduction to Derivatives
    • Day 2: Average versus Instantaneous Rates of Change
    • Day 3: Calculating Instantaneous Rate of Change
    • Day 4: Calculating Instantaneous Rate of Change
    • Day 5: The Derivative Function
    • Day 6: The Derivative Function
    • Day 7: Review
    • Day 8: Quiz (Sections 9.1-9.3)
    • Day 9: Derivative Shortcuts
    • Day 10: Differentiability
    • Day 11: Connecting f and f’
    • Day 12: Connecting f and f’
    • Day 13: Review
    • Day 14: Quiz (Sections 9.4-9.6)
    • Day 15: Derivatives of Sine and Cosine
    • Day 16: Product Rule
    • Day 17: The Quotient Rule
    • Day 18: Review
    • Day 19: Quiz (Sections 9.7-9.9)
    • Day 20: Unit 9 Review
    • Day 21: Unit 9 Test
  • Unit 10: (Optional) Conic Sections
    • Day 1: Intro to Conic Sections
    • Day 2: Parabolas
    • Day 3: Parabolas
    • Day 4: Quiz (Sections C.1-C.2)
    • Day 5: Ellipses
    • Day 6: Ellipses
    • Day 7: Hyperbolas
    • Day 8: Hyperbolas
    • Day 9: Unit C Review
    • Day 10: Unit C Test

Learning Targets

  • Connect ideas from multiple lessons

  • Review key skills from unit 1

Tasks/ActivityTime
Explain Trashketball Activity5 minutes
Play Trashketball 30 minutes
Questions/Homework10 minutes

Activity: Trashketball Review

Lesson Handouts

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Answer Key

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Our Teaching Philosophy:

Experience First,
Formalize Later
(EFFL)

Learn More

Experience First

Today students will review the big ideas of unit 1 in an engaging, fast-paced, collaborative activity.

To set-up the game, you will need to print several copies of the activity page (corresponding to the number of groups you have) and cut up the questions and sort them into piles. Have students in groups of 3-4. Arrange the piles at a central location at the front of the room where you will be sitting such as your desk or a table. You will also need two waste baskets one closer and one further away, and some way to mark where students will stand (we use a yardstick).

Each team will send up one group member and grab a problem from your desk. The order that they take the problems does not matter, and groups do not have to solve them in the same order. The lettering on the questions allows groups to keep track of which ones they already solved. The student will bring the paper back to their group and they will solve it together. When they are done they return the paper to you and you tell them either “Yes” or “No” depending on if they got the problem correct or not. Do not give further clues on where they made a mistake if you gave them a ‘No’, simply send them back to their group to try again. If the student got a ‘Yes’, they get to line up, crumple up their piece of paper and try to make a basket. If they make it into the closer basket they get 3 points for their team. If they make it into the further basket, they get 5 points for their team. If they miss both baskets, they can still get 1 pt for getting the question correct. We have students keep track of points on the front whiteboard. The student then sits down and sends a different group member to grab the next problem. We insist that groups rotate who they send up to pick up the problem and attempt the shot.

At the end of the time period, whichever team has the most points wins.

Formalize Later

Questions in this activity range in difficulty. Some questions review procedural skills that tend to be tricky for students while others connect ideas from multiple lessons. You may wish to make all the questions available later for students who want to use them to review. Setting aside 10 minutes at the end of class to go over more challenging questions is a good idea.

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