DCSMath 3 Pacing Guide

Unit 1: Algebraic Reasoning / Pacing
*Building and Solving Equations / 1
*Solving Equations & Systems / 1
*Build and Solve Quadratics / 2
*Extend to Solving Cubic Functions / 1
Review & Assessment / 1.5
Total Days / 6.5
Unit 2: Polynomials / Pacing
C3 U5 L1 I1: Modeling with Poly Fun / 2
C3 U5 L1 I2: Add, Sub, and Zeroes / 1
C3 U5 L1 I3: Zeros and Products of Poly / 2
*Long Division and Remainder Theorem / 2
Quiz / .5
C3 U5 L3 I2: Simplifying Rational Exp / 1
C3 U5 L3 I3: Add and Sub Rational Exp / 1.5
C3 U5 L3 I4: Mult and Div Rational Exp / 1.5
*Solve Rational Equations (extransolu) / 3
Review & Assessment / 2
Total Days / 16.5
Unit 3: Functions / Pacing
*Graph Rational Functions – Key Features / 1
*Absolute Value Functions / 1
*Discover Piecewise Functions / 1
*Application of Piecewise Functions / 1
*Comparing Different Functions / 1
*Transformations of Functions / 1.5
*Systems of Functions / 1
Review & Assessment / 1.5
Total Days / 9
Unit 4: Inverse / Pacing
*Review of Exponential Functions / 1
C3 U8 L1 I2: Find & Use Inverse Function / 1
C2 U5 L3 I1: How Loud is Too Loud? / 1
C2 U5 L3 I2: Solving for Exponents / 1
C3 U8 L2 I1&2: Logs & Covering all Bases / 1
Quiz / .5
*Graphs of Logs (include translations) / 1
*Real Life Examples (pop, carbon dating) / 2
Review & Assessment / 2
Total Days / 10.5
Unit 5: Congruence / Pacing
C3 U3 L2 I1: Congruence Revisited / 1
C3 U3 L2 I2: Congruence in Triangles / 2
C3 U3 L2 I3: Congruence in Quads / 3
*Congruence to Solve Problems / 1
Review & Assessment / 2
Total Days / 9
Unit 6: Geometry / Pacing
*Volume to Solve Problems / 1
*Density Based on Area and Volume / 1
*Cross Sections / 1
*Rotations of 2D objects / 1
*Optimization / 1
Review & Assessment / 1.5
Total Days / 6.5
Unit 7: Circles / Pacing
*Derive Equation of a Circle / 1
*Complete Square for Center and Radius / .5
Quiz / .5
C3 U6 L1 I1: Tangents / 1
*Secants / 1
C3 U6 L1 I2: Chords, Arcs, and Cent Ang / 1
* Area of Sectors / .5
C3 U6 L1 I3: Angles Inscribed in a Circle / 1
*Quadrilaterals in Circles / 1
Quiz / .5
C3 U6 L2 I2: Modeling Circular Motion / 1
C3 U6 L2 I3: Revolutions, Degrees, Rad / 1
*Unit Circle / 1
C3 U6 L2 I4: Patterns of Periodic Change / 2
*Practice with Trig Functions / 1
Review & Assessment / 2
Total Days / 16
Unit 8: Statistics / Pacing
C3 U1 L4 I1: Design by Experiment / 2
C3 U1 L4 I2: By Chance or By Cause? / 2
C3 U1 L4 I3: Statistical Studies / 1
Quiz / .5
*Experiment / 1
Review & Assessment / 2
Total Days / 8.5
Total Days Regular / 82.5

Key: U1 L1 I1 = Unit 1, Lesson 1, Investigation 1

Throughout Entire Course:

  • Interpret meaning of numbers in context
  • Theoretical and practical domain and range
  • Justify and explain steps
  • Key features of all graphs
  • Proofs in general, not just 2-column

Optional Extensions for Honors

  • Law of Cosines
  • Parabolic Equations – focus and directrix
  • Synthetic Division

Focus for Math 3

  • Functions
  • Exponential
  • Logarithm
  • Rational functions w/ linear denominator
  • Polynomials w/ degree ≤ three
  • Absolute Value
  • Piecewise
  • Intro to trig functions
  • Geometry
  • Radian
  • Angles and segments in circles
  • Centers of triangles
  • Parallelograms
  • Statistics
  • Random sampling
  • Simulation as it relates to sampling and randomization
  • Sample statistics
  • Intro to inference

Duplin County Schools Updated July 2017