Fifth Grade MathLand Program

Number Sense
  • Use appropriate math vocabulary
  • Select and use an appropriate method for computing
  • Explore discrete mathematics by using and explaining Venn diagrams
  • Use mental math to solve computation problems
  • Represent numerical relationships in one and two dimensional graphs
  • Develop, analyze and explain procedures for computing, estimating and solving proportions
  • Explore discrete math by continuing number patterns and sequences
  • Know and understand place value, including in the context of money
  • Identify and demonstrate understanding of number theory
  • Develop algorithms to solve problems
  • Compute with whole numbers, decimals and fractions, including numbers having multiple digits
  • Estimate to check the reasonableness of results
  • Use and describe different strategies to estimate quantities
  • Use multiple strategies to solve problems
  • Represent and use equivalent forms of numbers, including fractions, decimals, exponents and scientific notation
  • Explain the need for numbers other than whole numbers
  • Investigate and describe relationships among fractions and decimals
  • Represent numbers and their relationships on a number line
  • Understand and model fractional parts
  • Round fractions to nearest whole number
  • Compare and order whole numbers, fractions and decimals
  • Know and use order relations for whole numbers, fractions, decimals and integers
  • Use operations invoolving integers
  • Explain and appreciate other number systems
  • Explore discrete mathematics by use patterns and relations to model arrangements, combinations and permutations of objects

    Algebraic Thinking

  • Represent situations and number patterns with tables and graphs and explore the interrelationships of these representations
  • Analyze functional relationships to explain how a change in one quantity results in a change in another
  • Use patterns and functions to represent and solve problems
  • Use patterns and relationships to develop algebraic ideas and to make predictions
  • Identify patterns in the environment
  • Write an equation to represent a situation and solve problems
  • Use tree diagrams to solve problems
  • Demonstrate and ability to solve linear equations, using concrete, informal and formal methods
  • Explore number patterns using a calculator
  • Record and describe the composition and decomposition of sets of objects
  • Construct expressions or equations that model problems
  • Write number sentences using fractions and whole numbers
  • Write and evaluate inequalities using fractions and whole numbers
  • Use order of operations to solve problems mentally
  • Describe, extend, analyze and create a wide variety of patterns
  • Explore and describe a variety of ways of solving equations, including hands-on activities, trial and error, and numerical analysis
  • Apply algebraic mehtods to solve problems
  • Understand and apply the concepts of variable, set, subset, expression and equation

    Geometry and Measurement

  • Identify, draw, describe, compare and classify geometric figures
  • Know the values of money
  • Know and apply measurement equivalencies
  • Compute with measurements
  • Develop and apply formulas and procedures for determining measures to solve problems
  • Describe the meaning and use of perimeter, area, weight, mass, volume and capacity
  • Solve problems using area, perimeter, volume and surface area
  • Use proportional reasoning to solve and create measurement problems
  • Select appropriate units and tools to measure to the degree of accuracy required in a particular situation
  • Calculate time intervals and use conversions to solve problems
  • Develop and explain the concept of the Pythagoream Theorem
  • Predict, model and describe the results of combining, subdividing and changing shapes
  • Represent and solve problems using geometric models
  • Apply geometric properties and relationships
  • Use tiling patterns to explore area
  • Use a coordinate grid to locate ordered pairs and interpret information
  • Use metric units to describe length
  • Use a compass, ruler and protractor to construct simple plane figures, including angles and circles
  • Identify types of angles and name them by using letters
  • Explore and describe transformations of geometric figures
  • Tessellate shapes across a plane
  • Estimate angle measures

    Data Analysis: Statistics and Probability

  • Devise a plan, collect, organize and describe data systemically
  • Construct, read and interpret tables, charts and graphs
  • Evaluate arguments that are based on data analysis
  • Find and describe the mean, median, mode and range of given data
  • Make predictions that are based on experimental or theoretical probabilities
  • Calculate and combine probabilities to solve real-life problems
  • Make predictions, form generalizations, hypotheses, rules and conjectures based on data that are organized in tables, charts or diagrams
  • Determine all possible combinations
  • Use logical reasoning to solve problems
  • Model situations by devising and carrying out experiments or simulations to determine probabilities
  • Make inferences and convincing arguments that are based on data analysis
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