Math - Secondary Math I

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Math 1
Instructional Tasks

Stand alone tasks are organized to support learning of content standards. These tasks can be used as initial instruction or to support students who are struggling with a particular topic.

 

Strand: MATHEMATICAL PRACTICES (MP)
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Strand: NUMBER AND QUANTITY - Quantities (N.Q)
Reason quantitatively and use units to solve problems. Working with quantities and the relationships between them provides grounding for work with expressions, equations, and functions (Standards N.Q.1–3).
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Strand: ALGEBRA - Seeing Structure in Expressions (A.SSE)
Interpret the structure of expressions (Standard A.SSE.1).
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Strand: ALGEBRA - Creating Equations (A.CED)
Create equations that describe numbers or relationships. Limit these to linear equations and inequalities, and exponential equations. In the case of exponential equations, limit to situations requiring evaluation of exponential functions at integer inputs (Standards A.CED.1–4).
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Strand: ALGEBRA - Reasoning With Equations and Inequalities (A.REI)
Understand solving equations as a process of reasoning and explain the reasoning (Standard A.REI.1)
Solve equations and inequalities in one variable (Standard A.REI.3).
Solve systems of equations. Build on student experiences graphing and solving systems of linear equations from middle school. Include cases where the two equations describe the same line - yielding infinitely many solutions - and cases where two equations describe parallel lines - yielding no solution; connect to GPE.5, which requires students to prove the slope criteria for parallel lines (Standards A.REI.5-6)
Represent and solve equations and inequalities graphically (Standards A.REI.10-12).
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Strand: FUNCTIONS - Interpreting Linear and Exponential Functions (F.IF)
Understand the concept of a linear or exponential function and use function notation. Recognize arithmetic and geometric sequences as examples of linear and exponential functions (Standards F.IF.1–3).
nterpret linear or exponential functions that arise in applications in terms of a context (Standards F.IF.4–6).
Analyze linear or exponential functions using different representations (Standards F.IF.7, 9).
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Strand: FUNCTIONS - Building Linear or Exponential Functions (F.BF)
Build a linear or exponential function that models a relationship between two quantities (Standards F.BF.1–2).
Build new functions from existing functions (Standard F.BF.3).
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Strand: FUNCTIONS - Linear and Exponential (F.LE)
Construct and compare linear and exponential models and solve problems (Standards F.LE.1– 3).
Interpret expressions for functions in terms of the situation they model. (Standard F.LE.5).
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Strand: GEOMETRY - Congruence (G.CO)
Experiment with transformations in the plane. Build on student experience with rigid motions from earlier grades (Standards G.CO.1–5).
Understand congruence in terms of rigid motions. Rigid motions are at the foundation of the definition of congruence. Reason from the basic properties of rigid motions (that they preserve distance and angle), which are assumed without proof. Rigid motions and their assumed properties can be used to establish the usual triangle congruence criteria, which can then be used to prove other theorems (Standards G.CO.6–8).
Make geometric constructions (Standards G.CO.12–13).
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Strand: GEOMETRY - Expressing Geometric Properties With Equations (G.GPE)
Use coordinates to prove simple geometric theorems algebraically (Standards G.GPE.4–5, 7).
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Strand: STATISTICS AND PROBABILITY - Interpreting Categorical and Quantitative Data (S.ID)
Summarize, represent, and interpret data on a single count or measurement variable (Standards S.ID.1–3).
Summarize, represent, and interpret data on two categorical and quantitative variables (Standard S.ID.6).
Interpret linear models building on students’ work with linear relationships, and introduce the correlation coefficient (Standards S.ID.7–9).
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HONORS - Strand: NUMBER AND QUANTITY: VECTOR AND MATRIX QUANTITIES (N.VM)
Represent and model with vector quantities (Standards N.VM.1–3). Perform operations on vectors (Standards N.VM.4–5)
Perform operations on matrices and use matrices in applications (Standards N.VM.6–13).
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