Algebra and Quadratics

Unit 3

Topic/Learning Goals

Work

3.1

Apr 3 Tue

Review: Exponent Laws

 

Exponent Laws

Exponent Laws 1 (odd letters)

Exponent Laws 2 (odd letters)

3.2

Apr 4 Wed

More Exponent Laws

-      Use patterning to discuss zero and negative exponents

-      Understand the meaning of zero and negative exponents.

 

Appendix: More Exponent Laws (Hardcore!!)

Exponent Laws 3 (odd letters)

 

P228 #69

 

 

3.4

Apr 6 Fri

Formative Quiz on Exponents

Review expanding polynomials (grade 9 review)

Binomial Products (in one step!)

 

Appendix: Binomial Products

Expand and collect (odd #s)

Multiplying Binomials

 

P297 #1 37, #9, P 301, #17, #18

 

3.3

Apr 5 Thu

Practice adding and subtracting binomial products

Handout

3.5

Apr 9 Mon

Special binomial products

Handout

Apr 10 Tue

OSSLT ( no class)

3.6

Apr 11 Wed

Common factoring and Factoring by Grouping

Common Factors

Factor by Grouping

3.7

Apr 12 Thu

Factoring trinomials, , a= 1 and a != 1

Factoring Trinomials

Course pack Online: Factoring Simple Trinomials

Factoring Difficult Trinomials

3.8

Apr 13 Fri

Factoring a difference of squares and perfect squares

Two Factoring Patterns (CP)

 

Factoring everything mixed together

(common factoring; simple trinomials; difficult trinomials; mixed; not factorable!)

Difference of Perfect Squares #14 (odd letters)

Factoring

3.9

 

Apr 16 Mon

Summarize ALL Factoring!

More mixed factoring (not factorable)

 

 

Some Mixed Factoring

Mixed Factoring

 

P307 #27(odd)

 

Optional: Factor Like a Pro (odd #s)

3.10

Apr 17 Tue

Factoring Practice Again

(Quiz Factoring)

 

3.10

Apr 18 Wed

Solving Quadratic Equations By Factoring

Solving Quadratic Equations

Solving Quadratics by Factoring

 

P309 #17

P315 #13 (odd), 57

3.11

Apr 19 Thu

Finite Differences Day 1

(to determine linear, quadratic, including y=2x)

 

Finite Differences Investigation (CP)

 

P254 #2, 4, 13, 14

Finite differences

3.12


Apr 20 Fri

Introduction to Quadratic Relationships

(sketching from table of values)

vocab: vertex, zeros and axis of symmetry

Introduction to Quadratic Relationships Page 1 and 2 only

Introduction to Quadratic Relationships Page 3 and 4

P257 #6, 12, 16

3.13

Apr 23 Mon

Quadratic equations and functions

(Check your graphs using software.)

Explain that the equation y=x2 is a quadratic

Quadratic Relations and Equations

 

P308 #8

Graphing Quadratics by Factoring

3.14

Apr 24 Tue

Factored Form for a Quadratic Equation

- Graph and write the equation in factored form

- including fractions

- Sub a point to find the a-value

 

Factored Form (CP)

Pg 266 #1, 3-5, 7,9

3.15

Apr 25 Wed

Problems involving Quadratics Day 1

(height; area; $; others)

 

Quiz

Height Problems

Quadratic Problems Examples

Quadratic Word Problems

 

3.16

Apr 26 Thu

Problems involving Quadratics Day 2

P308 #9, 1113

P316 #4, 10, 12ab, 13a, 18 (#18 is not factorable)

3.17

Apr 27 Fri

Writing the equation given graph and word problems

P282 #6, 813, 22

3.18

Apr 30 Mon

Review for Test 3

Review Algebra

P326 #4odd, 5-7, 9odd, 10a)

3.19

May 1 Tue

Review for test 3

P326 11odd, 13, 14odd, 1517, 19, 20

P228 #4,5

May 2 Wed

Test 3 Quadratic Equations