Wayne RESA

Unit PlannerBig Ideas Math 6

Wayne Resa - Math / Grade 6 / Mathematics / Big Ideas Math 6 / Week 29 - Week 31
2 Curriculum Developers
Unit Abstract

Sixth Grade

  • Recognize statistical questions as ones anticipating variability

  • Understand that data used to answer statistical questions has a distribution that can be described by center and spread.

  • Use measures of center to summarize all of the values in a data set with a single number

  • Use measures of variation to summarize how all of the values in a data set vary with a single number

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Expectations/Standards
MI: Mathematics
MI: Grade 6
Statistics & Probability
6.SP.A. Develop understanding of statistical variability.
6.SP.A.2. Understand that a set of data collected to answer a statistical question has a distribution which can be described by its center, spread, and overall shape.
6.SP.A.3. Recognize that a measure of center for a numerical data set summarizes all of its values with a single number, while a measure of variation describes how its values vary with a single number.
6.SP.B. Summarize and describe distributions.
6.SP.B.4. Display numerical data in plots on a number line, including dot plots, histograms, and box plots.
6.SP.B.5. Summarize numerical data sets in relation to their context, such as by:
6.SP.B.5a. Reporting the number of observations.
6.SP.B.5c. Giving quantitative measures of center (median and/or mean) and variability (interquartile range and/or mean absolute deviation), as well as describing any overall pattern and any striking deviations from the overall pattern with reference to the context in which the data were gathered.
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Practice Standards
  • SMP1 - Make sense of problems and persevere in solving them

  • SMP2 - Reason abstractly and quantitatively

  • SMP3 - Construct viable arguments and critique the reasoning of others

  • SMP4 - Model with Mathematics

  • SMP5 - Use appropriate tools strategically

  • SMP6 - Attend to precision

  • SMP7 - Look for and make use of structure

  • SMP8 - Look for and express regularity in reasoning

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Concepts from Previous Units

Fourth Grade

  • Make a line plot with data in fractions of a unit.

  • Use line plots to solve problems involving addition and subtraction of fractions.

Fifth Grade

  • Use line plots to solve problems involving operations on fractions.

Connections to Upcoming Units

Seventh Grade

  • Understand representative samples (random sampling) and populations.

  • Use samples to draw inferences about populations.

  • Compare two populations from random samples using measures of center and variability.

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Key Terms / Vocabulary

Statistic, statistical question, mean, outlier, measure of center, median, mode, measure of variation, range, quartiles, first quartile, third quartile, interquartile range, mean absolute deviation, heart rate, pulse/beats, rate, dot/line plots, cluster, balance, fair share, average

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Lesson Plan Sequence

The following lesson plan sequence is obtained from Big Ideas Learning (2015). Each lesson is aligned with a learning objective to inform the teachers on what students should be able to do at the end of the lesson. The student objective informs the students of their learning goals for the day and it should be reviewed before, during and at the end of the lesson. Each lesson includes a mathematics task that should be implemented to meet the learning objectives. Teachers can select from the practice opportunities to reinforce the learning goals of the day.

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Language Support

The use of sentence stems as a language support are beneficial to all students, including English Language Learners. The use of sentence stems encourages the learning of mathematics in a language rich environment which has an impact on other learning as well. The sentence stems are a beginning place for supporting students' use of academic language and encourage discussion and writing as students learn content.

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