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Secondary Math 1 I Can Statements

Secondary 1 Core Standards

Secondary 1 Honors Core Standards

USOE Secondary Math 1 Core Guides

USOE Secondary Math 1 Honors Core Guides

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Secondary Math 1 Supplemental Text: In-Sync

MVP Textbook (Mathematics Vision Project)

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Solving Equations and Inequalities

A.REI.1

  1. Using additive inverses to solve simple algebraic equations
  2. Using multiplicative inverses to solve algebraic equations
  3. Using multiple operations to solve linear equations
  4. Justify each step in solving an equation using properties of equations, part 1
  5. Justify each step in solving an equation using properties of equations, part 2
  6. Solve an equation by working backwards

A.REI.3

  1. Solve equations in one variable
  2. Solve equations with variables on both sides
  3. Solve equations where some coefficients are represented by letters
  4. Solve simple inequalities using additive and multiplicative inverses
  5. Solve inequalities using additive and multiplicative inverses
  6. Solve compound inequalities

A.CED.1

  1. Write and solve a linear equation
  2. Create and solve linear inequalities
  3. Create and solve exponentials using a table of values

A.CED.4

  1. Rearrange specific formulas

Honors (Absolute Value)

  1. Solve absolute value equations
  2. Solve absolute value conjunction inequalities
  3. Solve absolute value disjunction inequalities

Solving System of Equations

A.REI.11

  1. Find the solution for two equations by finding their intersection
  2. Identify systems with no solutions
  3. Approximate the x-coordinate of an intersection of two lines
  4. Find the x-coordinate of an intersection by making a table
  5. Find the x-coordinate of an intersection by graphing the equations
  6. Find the x-coordinate of an intersection by setting the equations equal to each other

A.REI.5

  1. Show a pair of numbers is a solution by testing values
  2. Multiplying an equation by a number does not change the solution
  3. Add equations in a system of equations
  4. Multiplying and adding in a system of equations

A.REI.6

  1. Model a real-life situation using a system of linear equations
  2. Solve a system of linear equations using substitution
  3. Solve a system of linear equations using elimination
  4. Choose a method for solving a system of equations

A.REI.12

  1. Graph a linear inequality with a < or ≤ symbol
  2. Graphing linear inequalities with a > or ≥ symbol
  3. Check the half-plane for correct shading
  4. Graph systems of inequalities by shading their intersection
  5. Check graphing of a system of inequalities
  6. Find solutions to linear inequalities from context

A.CED.3

  1. Represent solutions and constraints to systems of linear equations using a table
  2. Represent solutions and constraints to systems of linear equations by writing and solving equations
  3. Represent solutions and constraints to linear inequalities by graphing
  4. Represent solutions and constraints to systems of linear inequalities by graphing

Functions

F.IF.1

  1. Describe relations and functions
  2. Identify functions given sets, mappings, and real world scenarios
  3. Identify functions using tables and graphs
  4. Identify functions using algebra
  5. Find the domain and range of a function
  6. Use function notation
  7. Write mathematical rules of functions using function notation

F.IF.2

  1. Understand functions in terms of inputs and outputs
  2. Understand f(x)
  3. Evaluate a function given an input value
  4. Put restrictions on a domain
  5. Interpret functions in context

A.REI.10

  1. Determine the solution to an equation by checking value
  2. Identify direct and inverse variation by looking at the shape of graphs
  3. Distinguish between discrete and continuous graphs
  4. Identify restricted domains in graphs

F.IF.4

  1. Find the slope of a linear function
  2. Graph a line given its slope and a point
  3. Graph line in slope intercept form

F.IF.5

  1. Understand domain restriction in linear functions in terms of real-world context
  2. Understand domain restriction in exponential functions in terms of real-world context

F.IF.7

  1. Graph function not written in slope-intercept form
  2. Graph a line using x and y intercepts

Building New Functions

F.BF.3

  1. Vertically translate linear equations
  2. Horizontally translate linear equations
  3. Identify the value of k in translations of linear equation

Sequences and Functions

F.IF.3

  1. Represent an arithmetic sequence as an explicit rule
  2. Represent explicit rules as linear functions
  3. Use explicit rules to write sequences recursively
  4. Represent a geometric sequence as an explicit rule
  5. Represent an explicit rule as an exponential function
  6. Write a geometric sequence recursively
  7. Understand sequences as functions

F.LE.1

  1. Model exponential growth situations with 2 variables
  2. Name the 3rd ordered pair belonging to an exponential function
  3. Name the 3rd ordered pair belonging to a linear function
  4. Identify linear functions linking equal differences to equal intervals
  5. Graph an exponential function
  6. Understand the rate of change in exponential growth functions
  7. Distinguish between linear and exponential functions by examining intervals
  8. Distinguish between linear and exponential functions using tables

Geometry Through Coordinates

G.GPE.4

  1. Prove whether a figure is a rectangle in the coordinate plane

Statistics

S.ID.1

  1. Create a dot plot
  2. Create a histogram
  3. Create a box plot
  4. Choose the best data display for a given situation
  5. Create a dot plot
  6. Understand the advantages of a dot plot
  7. Create a histogram
  8. Understand the advantages of a histogram
  9. Create a box plot
  10. Understand the advantages of a box plot
  11. Choose the appropriate graphical representation

S.ID.2

  1. Identify a data set’s shape using modes and symmetry
  2. Find center using mean and median
  3. Calculate and compare spreads by identifying IQR
  4. Compare histograms using center and spread
  5. Compare histograms using center and spread
  6. Compare box plots using center and spread
  7. Compare dot plots using center and spread
  8. Describe data using measures of center and spread
  9. Compare two data sets using measures of spread and center
  10. Use appropriate measure of center and spread when outliers are present
  11. Use appropriate measure of center and spread when outliers are not present

S.ID.3

  1. Understand the process of making inferences
  2. Draw inferences from a histogram
  3. Draw inferences by analyzing data
  4. Draw inferences from data in a box plot
  5. Draw inferences from data in a dot plot
  6. Identify outliers using knowledge of quartiles
  7. Represent outliers in a box plot
  8. Understand the effect of outliers on shape
  9. Interpreting histograms
  10. Compare box plots

S.ID.6

  1. Describe the relationship between variables
  2. Describe a relationship in terms of strength and direction
  3. Make predictions using a line of best fit
  4. Draw residuals
  5. Calculate the residual
  6. Understand the least squares regression line
  7. Find the least squares regression equation
  8. Create and read scatter plots
  9. Find line of best fit using point-slope form

S.ID.7

  1. Distinguish between scatterplots and lines
  2. Interpret intercepts using line of best fit
  3. Interpret slope using line of best fit

S.ID.8

  1. Understand correlation in terms of the strength of a relationship
  2. Find correlation coefficient using technology
  3. Understand and interpret the slope of a regression line
  4. Use the correlation coefficient to assess the strength of a linear fit
  5. Assess the appropriateness of a linear correlation model
  6. Calculate the correlation coefficient using a graphing calculator
  7. Solve problems using linear regression

S.ID.9

  1. Understand causation
  2. Distinguishing correlation and causation; the reverse causation example
  3. Distinguishing correlation and causation; hidden causes
  4. Differentiate between correlation and causation
  5. Evaluate language that confuses correlation and causation
  6. Establish causation through experimental design

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