HCPSS Family Mathematics Support Center
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    • Super 5: Back to School Moves for Parents/Families
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    • Partnering with Families to Help Students Succeed
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    • Mathematics Glossary
  • Testing in HCPSS
    • MD's PARCC Assessments >
      • HCPSS Insight: Understanding PARCC Home Reports (Aired on 12/22/15)
      • Understanding My Child's PARCC Score Reports
      • Take a Practice PARCC Test
      • What's on PARCC Grades 3-5 (Major, Supporting & Additional Content)
      • What's on PARCC Grades 6-8 (Major, Supporting & Additional Content)
      • What's on PARCC Algebra I, Geometry & Algebra II (Major, Supporting & Additional Content)
      • Key Milestones for K-12 Math
    • Measures of Academic Progress (MAP)
    • Redesigned SAT® and PSAT® >
      • Brief Presentation: Redesigned SAT®
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  • Middle School Math
    • Mathematics 6 (Gr. 6)
    • Mathematics 7 (Gr. 6/7)
    • Mathematics 8 (Gr. 7/8)
    • Middle School Course Expectations >
      • Math 6 (Gr 6) >
        • 1. The Number System (6.NS)
        • 2. Ratios & Proportional Relationships (6.RP)
        • 3. Expressions & Equations (6.EE)
        • 4. Geometry (6.G)
        • 5. Statistics & Probability (6.SP)
      • Math 7 (Gr 6/7) >
        • 1. The Number System (7.NS)
        • 2. Ratios & Proportional Relationships (7.RP/7.G)
        • 3. Expressions & Equations (7.EE)
        • 4. Geometry (7.G)
        • 5. Statistics & Probability (7.SP)
      • Math 8 (Gr 7/8) >
        • 1. The Number System & Exponents (8.NS/8.EE)
        • 2. Geometry (8.G)
        • 3. Analyzing Functions & Equations (8.F/8.EE)
        • 4. Patterns of Association (8.SP)
        • 5. Volumes of Solid Figures (8.G)
    • Algebra I (& GT) >
      • Overarching Standards
      • Unit 1: Representing Functional Relationships
      • Unit 2: Linear & Exponential Relationships
      • Unit 3: Quadratic Functions & Modeling
      • Unit 4: Descriptive Statistics
      • Unit 5: Modeling with Other Functions
    • Geometry GT >
      • Overarching Standards
      • Unit 1: Transformations, Similarity, & Congruence
      • Unit 2: Triangles, Proof, & Trigonometry
      • Unit 3: Circles, Proof, and Constructions
      • Unit 4: Extending to Three Dimensions
      • Unit 5: Applications of Probability
  • High School Math
    • HCPSS High School Mathematics Course Pathways
    • Algebra I >
      • Overarching Standards
      • Unit 1: Representing Functional Relationships
      • Unit 2: Linear and Exponential Relationships
      • Unit 3: Quadratic Functions and Modeling
      • Unit 4: Descriptive Statistics
      • Unit 5: Modeling with Other Functions
    • Geometry (& GT) >
      • Overarching Standards
      • Unit 1: Transformations, Similarity, and Congruence
      • Unit 2: Triangles, Proof, and Trigonometry
      • Unit 3: Circles, Proofs, and Constructions
      • Unit 4: Extending to Three Dimensions
      • Unit 5: Applications of Probability
    • Algebra 2 (& GT) >
      • Overarching Standards
      • Unit 1: Introduction to Families of Functions
      • Unit 2: Expanding Understanding of Quadratic Functions
      • Unit 3: Polynomial Functions
      • Unit 4: Radical & Rational Functions
      • Unit 5: Exponential & Logarithmic Functions
      • Unit 6: Trigonometric Functions
      • Unit 7: Inferences & Conclusions from Data
    • Mathematical Analysis (Honors) >
      • Unit 1: Graphical Analysis of Functions
      • Unit 2: Matrices
      • Unit 3: Vectors and Parametrics
      • Unit 4: Polynomial Functions
      • Unit 5: Rational Functions
      • Unit 6: Radical and Special Functions
      • Unit 7: Logarithmic and Logistic Functions
      • Unit 8: Limits and Series
    • SAT® Preparation Course >
      • Unit 1: Heart of Algebra
      • Unit 2: Problem Solving and Data Analysis
      • Unit 3: Passport to Advanced Math
      • Unit 4: Additional Topics in Math
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Algebra 2 (& GT)

Overarching Standards

Instructional Note: The following standards should be emphasized throughout all units of instruction. These standards should not be taught in isolation.

What will my child learn?

Students will:

Reason quantitatively and use units to solve problems.
N.Q.A.2
Define appropriate quantities for the purpose of descriptive modeling. 
  • Check for Understanding: Interpret Units in Formulas
  • Review/Rewind:  ​Dimensional Analysis
  • Enrichment Tasks: Weed Killer | Giving Raises

Interpret the structure of expressions.
A.SSE.A.2
Use the structure of an expression to identify ways to rewrite it.
  • Check for Understanding:  The Distributive Property with Variables | Factoring Difference of Squares 1
  • Review/Rewind:  Finding Zeros of Polynomias
  • Enrichment Tasks: Seeing Dots | Cubic Identity

Create equations that describe numbers or relationships.
A.CED.A.1
Create equations and inequalities in one variable and use them to solve problems.
  • Check for Understanding: Modeling with One-Variable Equations and Inequalities 
  • Review/Rewind:  Equations and Inequalities Word Problems
  • Enrichment Tasks: Sum of Angles in a Polygon | Bernardo and Sylvia Play a Board Game

Interpret functions that arise in applications in terms of a context.
F.IF.B.5
Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes.  For example, if the function h(n) gives the number of person-hours it takes to assemble n engines in a factory, then the positive integers would be an appropriate domain for the function.* 
  • Check for Understanding: Domain and Range from Graph | Domain of a Function
  • Review/Rewind:  How to Find Domain and Range
  • Enrichment Tasks: Average Cost | Oakland Coliseum

F.IF.B.6
Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph. 
  • Check for Understanding: Average Rate of Change
  • Review/Rewind:  Intro to the Average Rate of Change
  • Enrichment Tasks: 1,000 is half of 2,000 | Temperature Change

Summarize, represent, and interpret data on quantitative variables.
S.ID.B.6
Represent data on two quantitative variables on a scatter plot, and describe how the variables are related. 
a. Fit a function to the data; use functions fitted to data to solve problems in the context of the data. Use given functions or choose a function suggested by the context. Emphasize linear and exponential models.
b. Informally assess the fit of a linear function by plotting and analyzing residuals.
c. Fit a linear function for a scatter plot that suggests a linear association.
  • Check for Understanding: Assessing the Fit of a Line | Linear Models of Bivariate Data
  • Review/Rewind: ​Fitting a Line to Data
  • Enrichment Tasks: Used Subaru Foresters I | Coffee and Crime

What are some signs of student mastery?
  • Uses the structure of polynomial, exponential and rational expressions to create equivalent expressions in solving mathematical problems with three or more steps required.
  • Evaluates with, uses and interprets with function notation within a context.
  • Given a context, writes and analyzes a linear or quadratic function.
  • For linear and quadratic functions that model contextual relationships, determines and interprets key features, graphs the function, and solves problems.
  • Calculates and interprets the average rate of change of linear, exponential, quadratic, square root, cube root and piece-wise-defined functions (presented symbolically or as a table) over a specified interval, and estimates the rate of change from a graph.
  • Compares rates of change associated with different intervals.
  • Uses the means and standard deviations of data sets to fit them to normal distributions.
  • Fits exponential or trigonometric functions to data in order to solve multi-step contextual problems.
  • Given multiple functions in different forms (algebraically, graphically, numerically and by verbal description), writes multiple equivalent versions of the functions, and identifies and compares key features.
  • Graphs polynomial, trigonometric and logarithmic functions, showing key features.
  • Determines how the changes of a parameter in functions impact their other representations.
Tools & Technology
Desmos is a free online graphing calculator that works on any computer or tablet without requiring any downloads. A FREE Desmos iPad app is available too!

Try out the Line of Best Fit Guesstimator from NCTM!


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About this Project
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Helping Children w/Math HW

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Number Talks
Kindergarten
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Grade 3
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Grade 5 GT

Middle School Math
Helping my middle schooler w/math
Grade 6

Mathematics 6
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Grade 7
Mathematics 7
Mathematics 8
Algebra I G/T
Grade 8
Mathematics 8
Algebra I
Geometry GT
High School Math
Helping my high schooler w/math
Algebra I

Geometry (& GT)
Algebra II (& GT) 
Mathematical Analysis (Honors)
SAT® & PSAT®


Howard County Public Schools, Office of Secondary Mathematics, 2015-16 | This site licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License
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