ACE Listed Are the CORE ACE

Unit Breakdown 12.12

Say It With Symbols

ACE listed are the CORE ACE

Investigation #1:

1.1  Big Idea: Identify/Create two equivalent expressions

Summaries after: A1, A3, B, C

ACE (1, 2, 18-20): 1, 18-20

1.2  Big Idea: Develop equivalent expressions

Summaries after: A, C

ACE (3, 4, 25, 26): 3, 4, 25, 26

1.3  Big Idea: Interpreting Expressions

Summaries after: A, {B & D (extension for higher learners)}, C2,

ACE (5, 6): 5, 6 (a, b, d)

1.4  Big Idea: Using the distributive property to write equivalent expressions

Summaries after: A3, B3, {A4, B4, C5 as extensions}, C4, D, E

ACE (8, 9, 12-14, 51): 8, 9(higher), 12A&C, 14, 51B

Investigation #2:

2.1 Big Idea: Determine equivalent expressions and equations

Summaries after: A2, B1, C (in terms of linear/non-linear)

ACE (2, 3-5, 13-15): 2a-e, 13, 14

2.2 Big Idea: Substituting equivalent expressions

Summaries after: B1, C1, C4, D (in terms of linear/non-linear)

ACE (6-8, 19-20): 6-8, 19-20

2.3 Big Idea: Writing algebraic expressions by combining other expressions

Summaries after: A2, B1, B3, B5

ACE (12, 27-29, 39): 12, 27-29, 39 (warm-up after)

Investigation #3:

3.1 Big Idea: Solving equations with parenthesis and integers

Summaries after: A, B, C

ACE (1, 4-7, 30-31, 49): 1, 4, 31, 49

3.2 Big Idea: Solving linear equations variables and parenthesis on both sides

Summaries after: A4, B4

ACE (8-15, 34): 8-17

3.3 Big Idea: Factoring quadratic expressions using an area model

Summaries after: A1, A2, B4, C, D

ACE (18-20): 18, 19a-d, 20 d,e,f

3.4 Big Idea: Solving quadratic equations by factoring

Summaries after: A3, B7, D2

ACE (21-26, 43): 21-26, 43

Investigation #4:

4.1 Big Idea: Interpreting rate of change for linear equations, not in y=mx+b form

Summaries after: A3, B1, B3, C, D

ACE (1-2, 21-23): 2, 22, use 21 & 23 in other lessons, warm-up, etc

4.2 Big Idea: Use patterns of change to write linear, quadratic and exponential relationships

Summaries after: B, C2

ACE (5, 7, 26-29, 33-35): 5, 7, 26-29, 33-35 add 30 & 31

4.3 Big Idea: Identifying characteristics of linear, quadratic and exponential functions

Summaries after: A, B, C

ACE (11-18, 36-37): 11-18, 36

Investigation #5:

5.1 Big Idea: Translate and write verbal statements into algebraic statements

Summaries after: A2, C

ACE (1-3): 1-3

5.2 Big Idea: Odd and Even Integer Properties

Summaries after: A, C (B-if needed)

ACE (4-7, 19-28): 4-7a, 24-28, use 7b as warm-up next day

5.3 Big Idea: Exploring patterns when squaring odd numbers

Summaries after: B, C

ACE (9-11, 32-37): 9-11, 32-37