Integrated 2 Learning Targets

 

Target 1A

 

Organize, display, and interpret data using a matrix.

I can:

  • Determine the appropriate matrix size, labels and titles for a given set of data
  • Organize data into a matrix
  • Interpret the meaning of data entries, columns, and rows in a labeled matrix
  • Interpret the meaning of data in a matrix that is the result of performing operations on matrices

Target 1B

 

Perform operations on matrices (addition, subtraction, scalar multiplication, multiplication)

I can:

  • Add matrices with or without technology
  • Subtract matrices with or without technology
  • Multiply a matrix by a scalar with or without technology
  • Multiply two matrices in context without technology
  • Multiply two matrices without context with technology

Target 1C

 

Understand the properties of matrix operations.

I can:

  • Determine when two matrices are the correct sizes to perform operations
  • Determine when the commutative property applies to an operation and when it doesn’t
  • Find the additive inverse (or opposite) matrix

Target 1D

 

Write a system of equations to represent a situation.

I can:

  • Identify and clearly define variables for a situation
  • Write equations in y = form to represent a situation
  • Write equations in standard form to represent a situation

Target 1E

 

Solve a system of linear equations using a matrix equation and interpret its meaning.

I can:

  • Rewrite a system of equations in standard form into a matrix equations
  • Use the inverse of a matrix to solve a matrix equation
  • Solve a matrix equation using technology
  • Interpret the solution to the system, when the system has a context

Target 1F

 

Solve a system of linear equations by graphing and interpret its meaning.

I can:

  • Graph lines when given in y = form
  • Graph lines when given in standard form
  • Find the solution to a graphical display of a system with or without technology
  • Interpret the meaning of the solution to the system when it has a context.

Target 2G

 

Solve a system of linear equations algebraically and interpret its meaning.

I can:

  • Use substitution to solve a system of linear equations
  • Use linear combinations to solve a system of linear equations
  • Interpret the meaning of the solution to the system when it has a context

Target 2H

 

Find slope, length, and midpoint of a segment

I can: 

  • Find the distance between any two points
  • Find the midpoint of a line segment
  • Find the slope of a line, given two points
  • Find the slope of a line given an equation
  • Determine the slope of a horizontal and vertical line
  • Find the slope of a line parallel to a given line
  • Find the slope of a line perpendicular to a given line

Target 2I

 

Use distance, midpoint, and slope to make conclusions about geometric shapes.

I can: 

  • Define and name characteristics of  common geometric shapes
    • such as a rectangle, square, right triangle, isosceles triangle, parallelogram, kite
  • Determine the type of quadrilateral created by four given points
  • Determine the type of triangle created by three given points

Target 2J

 

Perform and describe single or multiple (composite) transformations of a figure.

I can:

  • Describe the four types of transformations:  translation, reflection, rotation, and size transformation
  • Use and interpret the notation used to describe transformations (for example A to A', and (x,y) --> (x + a, y - b)
  • Draw transformations on a figure, given written directions or an algebraic rule
  • Write directions for a transformation, given a picture of the transformation or an algebraic rule
  • Write an algebraic rule for a transformation when given a picture or written directions

Target 2K

 

Explain how properties of figures are affected by size transformations. (lengths, area and volume)

I can:

  • Explain how side lengths of a figure and its image compare after a size transformation of a known magnitude or scale factor
  • Find the side lengths of a figure or its image when I know the magnitude (or scale factor) of a size transformation
  • Use tables, graphs, and rules to describe the relationships between the edge lengths of a figure and its perimeter (or circumference), surface area, and volume.
  • Describe the relationship between the rules describing length, area, or volume, and the shape of the graphs of those rules.
  • Describe the change in perimeter (or circumference), surface area, and volume of a figure when dimensions are changed by a given scale factor.

Target 4L

 

Understand direct variation: y = ax2, y = ax3, y = axn

I can:

  • Describe the basic shape and rates of change of each of these graphs without using technology.
  • Describe the changes in the basic shape of each graph when:
    • a is a negative number.
    • a is increased or decreased.
  • Model situations using direct variation rules.
  • Use rules, graphs, and tables to answer questions about situations.

Target 4M

 

Understand inverse variation: y = a/x

I can:

  • Describe the basic shape of y = a/x without using technology, and the affect of changing the value of a on the graph.
  • Model situations using inverse variation rules.
  • Use rules, graphs, and tables to answer questions about situations.

Target 4N

 
Understand quadratic equations of the form y = ax2 + bx + c

Without technology, I can:

  • Describe the effect of changing the a and c-values to the graph of y = ax2 + bx + c.

With technology, I can:

  • Describe the patterns in the tables and graphs of quadratic equations.
  • Identify key features of graphs of quadratics: x-intercepts, y-intercept, maximum or minimum.
  • Use rules, graphs, and tables to evaluate a quadratic equation at a given value of x, and interpret the solution.
  • Use rules, graphs, and tables to solve a quadratic equation, and interpret the solution.
  • Determine how many solutions a quadratic model has.
  • Model situations using quadratic equations.

Target 4O

 

Simplify expressions involving radicals and exponents

I can:

  • Explain the meaning of square roots and cube roots.
  • Simplify radical expressions.
  • Perform basic operations with radicals:
    • Multiply two radical expressions together.
    • Add two radical expressions when appropriate.
  • Write square roots and cube roots using radicals and exponents.
  • Use rules of exponents to simplify exponential expressions:
    • Product of Powers
    • Quotient of Powers
    • Power of a power
    • Power of a product
    • Power of a quotient
  • Explain the meaning of negative exponents, and rewrite expressions involving negative exponent

Target 7P

 

Understand the Language of Probability

I can:

  • Use “event”, “trial”, “experiment”, “simulation”, “frequency”, sample space, and “complement” correctly.
  • Use proper notation.
  • Interpret what the notation means.
  • Find the probability of a simple event.
  • Describe the difference between theoretical and empirical probability.
  • Find the probability of the complement of an event.

Target 7Q

 

Understand Dependent and Independent Events

I can:

  • Determine if events are dependent or independent. P(A|B) = P(A)?
  • Give examples of dependent or independent events
  • Find probabilities of compound dependent events
  • Find probabilities of compound independent events

Target 7R

 

Understand Frequency Distributins

I can:

  • Create a frequency distribution (table or histogram) from experimental data
  • Calculate probabilities from a frequency distribution (table or histogram).
  • Create a probability distribution from a frequency distribution (table or histogram)

Target 7S

 

Understand Expected Value

I can:

  • Calculate expected value from a probability distribution
  • Calculate fair price for a game
  • Determine how to make a game fair.
  • Explain the meaning of expected value for a situation

Target 6T

 

Understanding the Proportional Relationship between Two Similiar Triangles

I can:

  • Use proportions to find missing lengths of similar figures.
  • Use proportions to find areas and volumes of similar figures.
  • Use proportions to solve problems.
  • Use algebraic reasoning to solve proportions.

Target 6U

 

Understand Special Rigth Triangles

I can:

  • Find missing sides and angles of 30-60-90 triangles.
  • Find missing sides and angles of 45-45-90 triangles.
  • Solve problems involving special right triangles.

 

Target 6V

 

Understand Right Triangle Trigonometry

I can:

  • Use Pythagorean Theorem to find missing sides.
    Use sine, cosine, tangent ratios to find missing sides and angles.
    Solve problems involving right triangles.

Target 6W

 

Understand the Proportional Properties of Circluar Motion

I can:

  • Find transmission factor.
  • Use transmission factor to solve problems.

Target 6X

 

Understand Measurements of Circular Motion

I can:

  • Use degrees, revolutions, and radians to describe circular motion.
  • Find angular velocity.
  • Find linear velocity.

Target 6Y

 

Understand Models of Perodic Change

I can:

  • Sketch graphs of y = cos x and y = sin x.
  • Determine period and amplitude of y = A·cos(Bx) and y = A·sin(Bx).
  • Model periodic data with sine and cosine functions.

Target 6Z

 

Simplify

I can: