GRADE 5 MATH

KEY CONCEPTS

(Information from the iLEAP Assessment Guide)

I.Number and Number Relations (33% of the test)

  • Focus shifts from whole numbers to an emphasis on fractions and decimals
  • Compare positive fractions using number sense, symbols, and number lines
  • Add and subtract fractions with common denominators
  • Recognize, explain, and compute equivalent fractions for common fractions
  • Read, explain, and write numerical representations for positive improper fractions, mixed numbers, and decimals from pictorial representatives and vice versa
  • Select and discuss the correct operation for a given problem involving positive fractions
  • Continue to work with whole numbers by selecting, sequencing, and using appropriate operations to solve multi-step word problems.
  • Further develop estimation strategies and the ability to test the reasonableness of an answer to a given computation
  • Work with rates, ratios, and equivalent ratios begins, but formal development waits for later grades

II.Measurement (16% of the test)

  • Select units and tools for measurement situations and perform operations on the resulting measures
  • Calculate equivalent times across time zones and solve real-life problems involving elapsed time
  • Estimate time, temperature, weight/mass, and length in familiar situations
  • Compare the relative sizes of common units for time, temperature, weight, mass, and length in real-life situations
  • Compare and estimate measurements between the U.S. and metric systems in terms of common reference points
  • Convert between units of measurement for length, weight, and time within the same system, U.S. or metric

III.Geometry (18% of the test)

  • Use mathematical terms to classify and describe the properties of two-dimensional shapes, including circles, triangles, and polygons
  • Identify transformations and shapes that have rotational symmetry
  • Identify and plot points in the first quadrant of a coordinate grid

Curriculum and Instruction Department

Melissa M. Stilley, Middle School Supervisor

IV.Data Analysis, Probability, and Discrete Math(15% of the test)

  • Use various types of charts and graphs to organize, display, interpret data, and discuss patterns
  • Compare and contrast survey data from two groups relative to the same question
  • Investigate the impact of different scales and labels for bar and line graphs
  • Represent probabilities as common fractions

V.Algebra (10% of the test)

  • Write number sentences from given physical models of equations
  • Introduced to solving number sentences by mental math, backward reasoning, inverse processes (i.e., unwrapping operations) and manipulatives
  • Find solutions to one-step inequalities and identify positive solutions on number lines

VI.Patterns, Relations, and Functions (8% of the test)

  • Fill in missing elements in sequences of designs, number patterns, positioned figures, and quantities of objects

TangipahoaParishSchool System

Curriculum and Instruction Department

Melissa M. Stilley, Middle School Supervisor

5th Grade iLEAP Test Format/Design Information

  • The math test for 5th grade iLEAP will consist of fifty (50) multiple-choice items (1 pt.each) AND two 4-point constructed-response items equals a 58 point test.
  • GLE #30 is not assessed because it requires the use of technology not available during the test.
  • Recommended calculators for instruction and assessment:
  • Grades 5-8: Scientific Calculator(may be used on 3 out of the 4 parts)
  • There are 4 Parts to the 5th grade iLEAP test as follows:

Part 1: (Estimation)

  • Timed test on computational estimation and number sense.
  • Requires the use of several rounding or estimation methods.
  • Calculators are NOT permitted on this part of the test.
  • There are 5 questions on this part of the test.

Part 2: (Multiple Choice)

  • Timed test consisting of questions that test number properties and operations, measurement, probability, statistics, problem solving, data interpretation, word problems requiring one or more steps to solve, each involving somewhat different skills.
  • In some cases students select an appropriate method or approach rather than compute an answer.
  • Data is presented in tables and graphs.
  • Students use data displays to obtain information, compare quantities, and determine trends and relationships.
  • Calculators MAY be used on this part of the test.
  • There are 23 questions on this part of the test.

Part 3: (Multiple Choice)

  • Untimed test consisting of questions comparable to Part 2
  • Items measuring students’ mathematical skill and knowledge in realistic contexts were developed to specifically address the GLEs.
  • Calculators MAY be used on this part of the test
  • Students are given a Mathematics Reference Sheet to consult as a reference during the test.

Part 4: (Complex Constructed Response)

  • Untimed, but students should be given about 30 minutes
  • Involve a number of separate steps and require application of multiple skills
  • Response format may be open-ended, include numerical answers, short written answers, and other types of constructed response such as drawing graphs or geometrical patterns to explain in writing how they arrived at their answers
  • Calculators MAY be used on this part of the test.
  • Two 4-point constructed response items

TangipahoaParishSchool System

Curriculum and Instruction Department

Melissa M. Stilley, Middle School Supervisor