Unit One Resources

Promethean Flipcharts/Powerpoints:

Spring 2014 First 3 Days Flipchart:

Spring 2014 First 3 Days Flipchart PDF:

Spring 2014 Unit 1 Flipchart:

Spring 2014 Unit 1 Flipchart PDF:

Unit 1 Flipchart (8/23):

Unit 1 PDF (8/23):

Daily Printouts (Based on First 3 Days and Unit 1 Flipchart):

Day 1 - Graph/Equation Relationship -

Day 2 - Factoring Trinomials Discoveries -

Day 3 - Polynomial Operations -

Day 4 (U1D1) - Synthetic Division/Remainder Theorem/Rational Root Theorem -

Day 5 (U1D2) - Factoring Sum and Difference of Cubes -

Day 6 (U1D3) - Multiply and Divide Rationals -

Day 7 (U1D4) - Add and Subtract Rationals -

Day 8 (U1D5) - Domain Restrictions/Review - (I'm using pg. 7 of this)

Day 9 (U1D6) - Quiz/Binomial Theorem -

Day 10 (U1D7) - Solving Quadratics Several Different Ways -

Day 11 (U1D8) - Solving Cubics/Start and End Behavior -

Day 12 (U1D9) - Solving Higher-Order Paideia -

Day 13 (U1D10) - Solving Rational Equations Word Problems Paideia -

Day 14 (U1D11) - Solving Algebraic Rational Equations -

Day 15 (U1D12) - Graphing Rationals -

Day 16 (U1D13) - Relating Solutions to Roots/Writing Equations from Roots

Day 17 (U1D14) - Review

Day 18 (U1D15) - Test

SAMPLE Lesson Plans based on flipchart I posted:

Here are my lesson plans for the fall, including my first 3 days of investment/introduction, for Unit 1 through Sept. 20. I do have one wiggle room day, but I did NOT put the quizzes on here so they will be worked in.

Resources referred from Unit Guide:
Remainder Theorem Discovery - (students evaluate functions and synthetically divide to see the relationship):

Solving Higher-Order Equations Performance Task - Use after solving cubics, BEFORE solving any other higher-order functions, all solutions are rational:

Writing Equations from Real Roots Discovery - Students discover the relationship between roots and factors and use it to write functions with given solutions.

Pyramid Power - To help students see the relationship of the coefficients of binomial expansions:

Binomial Theorem Introduction Task - Same task from wiki (allowing students to discover the relationship between Pascal's Triangle and the coefficients of binomial expansion):

Rational Equations Paideia - Students set up and solve a rational equation with 4 rates and determine if the solution is real-world accurate.

Pearson Enrichment 8-5 - The Superposition Principle, great extension for rationals

Start and End Behavior Discovery - Students use leading coefficients and degree to see the pattern for the start and end behavior of functions.

Domain Discovery - Students use their calculators to visually graph and determine the domain and range of 8 parent functions

Rational/Radical Domain Discovery - Students discover how to determine domain restrictions for radical and rational functions visually and algebraically. (to be posted)

Finding Quadratic Roots (Hammett Quadratic Roots Activity on Flipchart): Students solve quadratics by factoring, but first have to write them in standard form. Then the discover properties about the sum and products of the roots. Really cool activity, thanks Shawne Hammett from West Meck!

Other Resources for the Unit:

Polynomial Unit Resource - Thanks Rashanna Crockett from the Twilight Academy at Vance! Great resources for polynomials (I'm using a bunch in the flipchart and handouts).

Discovery on Factoring Rules - Students will see why ax^2 trinomials have a different factoring process than x^2 trinomials.

Basic discovery on x^2 + bx + c factoring rules - This extends on the distributive property for students to discovery and apply the relationship between the factors, b, and c. It is real quick - like 15 -20 minutes!

Remediation Resources that Could Apply for This Unit:

Transformation Discovery Using Absolute Value (Word):

Transformations Discoveries Using Quadratics, Cubics, and Exponentials (thanks Chris Schotten from West Meck - brilliant extension activities!):

Performance Task - Verifying the Solutions to an Absolute Value Equation Using a Graph:

Intercepts Discovery - Students can discover that the x-coordinate = 0 at every y-intercept and the y-coordinate = 0 at every x-intercept:

Equations of Lines in Different Forms Discovery: Students graph a line in standard and slope-intercept form - and it's the same line!

Great matching activity - students match functions to their graphs (updated by Jeremiah Schmutz, who caught some mistakes!):

Great worksheet on writing functions from graphs AND sketching graphs from functions:

Enrichment Activity on 7 Positive Habits, including being proactive:

Transformations Choice Activity:

Polynomial Operations BINGO:

Factoring BINGO:

Unit 1 Study Guide/Tests

Unit 1 Quiz SPRING -

Unit 1 Test SPRING - 4 Tasks (2 forms)

Unit 1 Quiz 1 - Polynomial Operations:

Unit 1 Quiz 2 - Properties of Functions and Their Graphs:

Unit 1 Quiz 3 - Finding Roots of Polynomials (as a task or Paideia):

Unit 1 Quiz 4 - Rationals:

Unit 1 Test (3 tasks):