Prerequisites for Pre-Algebra:
1.) Operations with integers
2.) Order of Operations
3.) Vocabulary – variables, etc.
4.) Conceptual understanding of basic algebraic equations (inverse operations)
5.) Proficient with all operations of fractions
6.) Strong number sense and knowledge of place value
7.) Strong estimation and rounding skills
RECOMMENDATION: Teacher-created assessment to be administered in September for all 7th grade advanced students (collect baseline data)
At the END of Pre-Algebra, what are the most important topics/ideas/understandings kids should know:
· Solving expressions and equations
· Fractions, ratios, proportions, percents
· Concepts and Application of percents
· Integers
· Exponents
· Estimation
· Rounding skills
· Magnitude of numbers
· Distribution
· Graphing linear equations (coordinate plane)
· Understanding of functions (inputs/outputs)
· Real-world applications
· Combining multiple concepts
· Geometry applications (using formulas)
· Problem-solving
· Being able to explain in writing how to solve problems (demonstration of understanding)
· Reading and interpreting graphs in context
· Concept of inverse and opposites
· Strong mathematical inquiry ( a big math tool box)
Top Five Essential Skills/Concepts by June of Pre-Algebra: (Kids will be experts in:)
1.) One and two-step equations
2.) Evaluating expressions
- Order of operations
- Formulas
3.) Reading and interpreting graphs
4.) Mastery of 2-D and 3-D geometric figures
5.) Ratios, Proportions, Percents, and Decimals – this is #5????
Mathematical practice - Application of appropriate problem-solving strategies (overarching idea)
Timeline for Pre-Algebra:
SEPT:
· Evaluating Expressions:
o Order of operations, integers, formulas, exponents, absolute values
§ (include fractions – infusion)
§ Focus in 7th grade: integers
§ Focus in 8th grade: balancing/formulas
OCT:
· Solving One and Two-Step Equations (continue past 1 month?)
NOV:
· Ratios, Proportions, Percents, and Decimals
o Using proportions to determine sides (geometric)
DEC:
· Ratios, Proportions, Percents, and Decimals
JAN:
· Ratios, Proportions, Percents, and Decimals
o Simple probability of fairness (not a priority)
FEB:
· Geometry
o Revisit solving equations (geometric formulas)
MAR:
· Geometry
APR:
· Reading and Interpreting Graphs
o Measures of Central Tendencies
o Statistical Graphing
MAY: (preparations for Algebra I)
· Multi-step Equations
o Combining like terms; distribution
· Linear Functions
o Rate of change
o Y-intercept
JUNE:
· 7th grade teachers are required to collect/analyze/share pre-algebra data with grade 8 and grade 9 teachers
· 8th grade teachers to drive the pre-algebra implementation and data collection
PM Session:
1.) Create a pre-assessment for students to take in September
2.) Academic Vocabulary for Pre-Algebra
3.) Development of first few CFAs to be administered
4.) Fraction issue