a secondary mathematics progression expressions, equations and functions
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A Secondary Mathematics Progression
Expressions, Equations and Functions
Outcomes
• An understanding of the mathematical progressions.
• An example of a mathematical progression for expressions, equations and functions in secondary mathematics.
CCSS Domain ProgressionK 1 2 3 4 5 6 7 8 HS
Counting & Cardinality
Number and Operations in Base TenRatios and Proportional
Relationships Number & QuantityNumber and Operations –
FractionsThe Number System
Operations and Algebraic Thinking
Expressions and Equations Algebra
Functions Functions
Geometry Geometry
Measurement and Data Statistics and ProbabilityStatistics & Probability
DomainsConceptualCategories
NC EOG/EOC Assessment Specifications
6th Grade 7th Grade 8th Grade HS Math 1
The Number System27-32%
The Number System30
The Number System6
Number & Quantity6.1
Expressions & Equations27-32%
Expressions & Equations
30
Expressions & Equations
32
Algebra30.6
Ratios & Proportional Relationships
12-17%
Ratios & Proportional Relationships
14
Functions24
Functions37.7
Geometry12-17%
Geometry16
Geometry22
Geometry10.2
Statistics & Probability7-12%
Statistics & Probability10
Statistics & Probability16
Statistics & Probability15.3
Major Work
Major Work
Major Work
Section 1 - Expressions• Numeric expressions in upper elementary
and lower middle school mathematics
• Numeric and algebraic expressions in middle school
• Complex algebraic expressions in high school and beyond
Numeric to Algebraic Expressions
K-8th GradesK-3rd
NumericExpressions
3-6th Grade Patterns and Sequences
5-7th GradeExpressions
8th GradeExpression
s w/ exponents
HS Math
High SchoolComplex Algebraic
Expressions
Section 2 – Equations• Equations in K-12 mathematics
– Linear
– Quadratic
– Exponential
– Trigonometric
– Radical
– Rational
• Simultaneous equations in 8-12 mathematics
Equivalent Expressions to Equations
6th-8th Grades6th
One-step equations
7th GradeRatios and Proportions
8th Grade – HS Mathematics
Systems of Equations
7th- HS MathematicsMulti-stepequations
Math I-III
Math II and IIISimple trig, absolute value
and simple rational equations
Math IIIAdvanced
Trigonometric and
Logarithmic equations
Section 3 – Functions• From patterns and relations to functions
• Defining a relationship between two quantities as a function
• Modeling functions
• Interpreting functions
• Comparing functions
Equations to Functions
8th Grade – Math III8th Grade
Functions & Linear
Functions
Math ILinear, Quadratic and Exponential
Functions
Math IIMore complex Quadratic and
Simple Rational functions
Math IIIRational,
Radical & Trig Functions
Questions?
Assessment Samples
Assessment Samples - Expressions
Math I Released Example
Assessment Sample - Equations
Math I Released Assessment Item
Assessment Samples - Functions6th Grade Released Example
8th Grade Released Assessment Item
Math I Released Assessment Item
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