Chapter 11

Graphs & Probability

5th Grade: Chapter 11 Outline

Week 22 - Week 23

Essential Questions:

  • Why are graphs helpful?
  • What kind of questions can be answered using different data displays?

Content:

Students will know and understand:

    • Double bar graphs
    • Graph key
    • Coordinate grids
    • x-axis
    • y-axis
    • Coordinate plane
    • Coordinates
    • Ordered pair
    • x-coordinate
    • y-coordinate
    • Origin
    • Straight line graph
    • Equation
    • Combinations
    • Organized list
    • Tree diagram
    • Favorable outcome
    • Theoretical probability
    • Experimental probability

Skills:

Students Will:

    • Make and interpret bar graphs.
    • Make a line plot to represent data given in fractions of a unit.
    • Use operations on fractions to solve problems from the information presented.
    • Read points on a coordinate grid.
    • Plot points on a coordinate grid.
    • Graph an equation.
    • List and count all possible combinations.
    • Draw a tree diagram to show all possible combinations.
    • Use multiplication to find the number of combinations.
    • Find the experimental probability of an outcome.
    • Compare the results of an experiment with the theoretical probability.

Assessment

Chapter 11 Assessment: Graphs & Probability

Formative Test: Common

Upon completion of Unit 11:

  • 5.OA.B.3. Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane.
  • 5.MD.A.1. Convert among different-sized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real world problems.
  • 5.MD.B.2. Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Use operations on fractions for this grade to solve problems involving information presented in line plots.
  • 5.G.A.1. Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate).
  • 5.G.A.2. Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation.