- Author:
- Hannah Hynes-Petty, Washington OSPI Mathematics Department, Washington OSPI OER Project
- Subject:
- Mathematics
- Material Type:
- Module
- Level:
- High School
- Tags:
- Modeling Our World With Mathematics, Washington Office of Superintendent of Public Instruction

- License:
- Creative Commons Attribution Non-Commercial
- Language:
- English
- Media Formats:
- Downloadable docs

# Education Standards (21)

# Common Core State Standards Math

Grades 9-12,Statistics and Probability: Interpreting Categorical and Quantitative DataCluster: Interpret linear models

Standard: Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data.*

# Common Core State Standards Math

Grades 9-12,Statistics and Probability: Interpreting Categorical and Quantitative DataCluster: Summarize, represent, and interpret data on two categorical and quantitative variables

Standard: Represent data on two quantitative variables on a scatter plot, and describe how the variables are related.*

# Common Core State Standards Math

Grades 9-12,Functions: Linear, Quadratic, and Exponential ModelsCluster: Construct and compare linear, quadratic, and exponential models and solve problems

Standard: Construct and compare linear, quadratic, and exponential models and solve problems. Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table).*

# Common Core State Standards Math

Grades 9-12,Functions: Linear, Quadratic, and Exponential ModelsCluster: Construct and compare linear, quadratic, and exponential models and solve problems

Standard: Distinguish between situations that can be modeled with linear functions and with exponential functions.*

# Common Core State Standards Math

Grades 9-12,Functions: Building FunctionsCluster: Build a function that models a relationship between two quantities

Standard: Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms.*

# Common Core State Standards Math

Grades 9-12,Functions: Building FunctionsCluster: Build a function that models a relationship between two quantities

Standard: Write a function that describes a relationship between two quantities.*

# Common Core State Standards Math

Grades 9-12,Functions: Interpreting FunctionsCluster: Analyze functions using different representations

Standard: Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). For example, given a graph of one quadratic function and an algebraic expression for another, say which has the larger maximum.

# Common Core State Standards Math

Grades 9-12,Functions: Interpreting FunctionsCluster: Analyze functions using different representations

Standard: Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.*

# Common Core State Standards Math

Grades 9-12,Functions: Interpreting FunctionsCluster: Interpret functions that arise in applications in terms of the context

Standard: 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.*

# Common Core State Standards Math

Grades 9-12,Functions: Interpreting FunctionsCluster: Interpret functions that arise in applications in terms of the context

Standard: For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity.*

# Common Core State Standards Math

Grades 9-12,Functions: Interpreting FunctionsCluster: Understand the concept of a function and use function notation.

Standard: Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context.

# Common Core State Standards Math

Grades 9-12,Algebra: Reasoning with Equations and InequalitiesCluster: Represent and solve equations and inequalities graphically

Standard: Graph the solutions to a linear inequality in two variables as a half-plane (excluding the boundary in the case of a strict inequality), and graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes.

# Common Core State Standards Math

Grades 9-12,Algebra: Reasoning with Equations and InequalitiesCluster: Represent and solve equations and inequalities graphically

Standard: Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line).

# Common Core State Standards Math

Grades 9-12,Algebra: Reasoning with Equations and InequalitiesCluster: Solve systems of equations

Standard: Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.

# Common Core State Standards Math

Grades 9-12,Algebra: Reasoning with Equations and InequalitiesCluster: Solve systems of equations

Standard: Prove that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions.

# Common Core State Standards Math

Grades 9-12,Algebra: Reasoning with Equations and InequalitiesCluster: Solve equations and inequalities in one variable

Standard: Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.

# Common Core State Standards Math

Grades 9-12,Algebra: Reasoning with Equations and InequalitiesCluster: Understand solving equations as a process of reasoning and explain the reasoning

Standard: Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method.

# Common Core State Standards Math

Grades 9-12,Algebra: Creating EquationsCluster: Create equations that describe numbers or relationship

Standard: Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations. For example, rearrange Ohm’s law V = IR to highlight resistance R.*

# Common Core State Standards Math

Grades 9-12,Algebra: Creating EquationsCluster: Create equations that describe numbers or relationship

Standard: Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or non-viable options in a modeling context. For example, represent inequalities describing nutritional and cost constraints on combinations of different foods.*

# Common Core State Standards Math

Grades 9-12,Algebra: Creating EquationsCluster: Create equations that describe numbers or relationship

Standard: Create equations that describe numbers or relationship. Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.*

# Common Core State Standards Math

Grades 9-12,Algebra: Seeing Structure in ExpressionsCluster: Interpret the structure of expressions.

Standard: Interpret expressions that represent a quantity in terms of its context.*

# MOWWM Unit 1: Health & Fitness Topic 2 - Sports & Fitness

## Overview

Modeling Our World with Mathematics Unit 1: Health & Fitness Topic 2 - Sports & Fitness