GRADE 6 MATHEMATICS

Overview -

How do mathematicians think, write, and speak? Find out in Grade 6 Mathematics, where students will experience new ways of solving problems through interactive and engaging activities. With a focus on hands-on learning and real-world application, students will be exposed to foundational concepts needed for higher-level math study, including integer operations, equations, and statistics.

MAJOR TOPICS AND CONCEPTS -

Segment One –

  • Write and interpret ratios to show the relative sizes of two quantities given a real-world context
  • Solve mathematical and real-world problems involving ratios, rates, and unit rates, including comparisons, mixtures, ratios of lengths and conversions within the same measurement system
  • Determine a rate for a ratio of quantities with different units, and calculate and interpret the corresponding unit rate given a real-world context
  • Generate or complete a two- or three-column table to display equivalent part-to-part ratios and part-to-part-to-whole ratios
  • Apply ratio relationships to solve mathematical and real-world problems involving percentages using the relationship between two quantities
  • Solve multi-step, real-world percent problems (accelerated)
  • Apply ratios to solve real-world problems involving proportions (accelerated)
  • Recognize and formulate a statistical question that would generate numerical data
  • Find and interpret mean, median, mode, and range given a numerical data set within a real-world context
  • Determine the minimum, the lower quartile, the median, the upper quartile, and the maximum given a box plot within a real-world context and use a summary of the data to describe the spread and distribution of the data
  • Create box plots and histograms to represent sets of numerical data within real-world contexts
  • Describe and interpret the spread and distribution of the data, including any symmetry, skewness, gaps, clusters, outliers, and the range given a histogram or line plot within a real-world context
  • Determine and describe how changes in data values impact measures of center and variation given a real-world scenario
  • Determine an appropriate measure of center or measure of variation to summarize numerical data, represented numerically or graphically, taking into consideration the context and any outliers (accelerated)
  • Use the measure(s) of center and measure(s) of variability to make comparisons, interpret results, and draw conclusions about two populations given two numerical or graphical representations of data (accelerated)
  • Use proportional relationships to make predictions about a population, given categorical data from a random sample (accelerated)
  • Plot rational number ordered pairs in all four quadrants and on both axes and identify the x- or y-axis as the line of reflection when two ordered pairs have an opposite x- or y-coordinate
  • Find distances between ordered pairs, limited to the same x-coordinate or the same y-coordinate, represented on the coordinate plane
  • Solve mathematical and real-world problems by plotting points on a coordinate plane, including finding the perimeter or area of a rectangle
  • Derive a formula for the area of a right triangle using a rectangle and apply the formula to find the area of a triangle
  • Solve mathematical and real-world problems involving the area of quadrilaterals and composite figures by decomposing them into triangles or rectangles
  • Apply formulas to find the areas of trapezoids, parallelograms, and rhombi (accelerated)
  • Solve mathematical or real-world problems involving the area of polygons or composite figures by decomposing them into triangles or quadrilaterals (accelerated)
  • Find the surface area of right rectangular prisms and right rectangular pyramids using the figure’s net given a mathematical or real-world context
  • Solve mathematical and real-world problems involving the volume of right rectangular prisms with positive rational number edge lengths
  • Determine the sample space for a simple experiment (accelerated)
  • Find the theoretical probability of an event related to a simple experiment (accelerated)
  • Interpret the likelihood of a chance event occurring and compare the probabilities of chance events (accelerated)
  • Find experimental probabilities and compare them to theoretical probabilities (accelerated)

Segment Two –

  • Recognizing logical fallacies
  • Identifying elements of an effective claim
  • Effectively supporting a claim
  • Identifying reliable sources
  • Organizing an argument
  • Determining the central/main idea
  • Using elaborative details
  • Writing a summary
  • Understanding how figurative language affects meaning and tone
  • Interpreting figurative language
  • Finding literal and figurative meaning
  • Comparing and contrasting texts
  • Using context clues
  • Interpreting implicit and explicit meaning
  • Identifying characteristics of poetic forms
  • Looking for connotative meanings
  • Analyzing plot pattern
  • Identifying protagonist and antagonist
  • Classifying direct and indirect characterization
  • Determining point of view
  • Defining types of conflict
  • Determining theme in a text
  • Using pronouns correctly
  • Correcting errors with hyphens
  • Identifying verbals
  • Using correct pronoun/antecedent agreement
  • Creating a commercial
  • Using diverse media formats
  • Recognizing point of view
  • Identifying the narrator
  • Planning narrative writing
  • Writing the exposition to a narrative
  • Using narrative techniques
  • Discovering a writer’s craft
  • Writing dialogue effectively
  • Revising and editing for impact
  • Reflecting on the writing process

Grade Level

Grade 6

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Duration

Annual

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Prerequisites

 Recommended For 6th Grade

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Mode

 Online

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Ratio

1 Teacher : 9 Student (Standard)

1 Teacher : 15 Student (max)

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Exams & Assessments

Online via Learning Management System

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Academic Year

9.6 Months ≈ 10 Months

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Commencement of Academic Year

January

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End of Academic Year

November

Requirements

 

  • Scientific Calculator
  • Unity Web Player