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1-2 week
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Geometry
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| (1) |
NY-6.G.2 |
Find volumes of right rectangular prisms with fractional edge lengths in the context of solving real-world and mathematical problems. |
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Essential Question: Does using fractional lengths to find volume change the strategy used when finding volume with whole number lengths? How do you know?
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Volume
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volume-
3 dimensional-
length-
width-
height-
cubic unit-
cube-
prism-
pyramid-
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Students will be able to:
- Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes of the appropriate unit fraction edge lengths.
- Find the volume of a right rectangular prism by multiplying the three edge lengths of the prism.
- Apply the formulas V = l w h and V = b h to find volumes of right rectangular prisms with fractional edge lengths.
- Solve real-world problems involving finding the volume of right rectangular prisms.
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https://blogs.edutech.nodak.edu/badlandsreadingcouncil/files/2012/03/math-foldables.pdf
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https://cdn.emathinstruction.com/bcdn_token=iY7ft78udpE8fYx-d_aLXHay_wDw5exM478C_KdmAzo&expires=1676328674/wp-content/uploads/2022/03/N-Gen-Math-6.Unit-10-Mid-Unit-Quiz.Form-A.pdf
https://cdn.emathinstruction.com/bcdn_token=NFgp6yBpYdwSXuZjE9XzXH4gwWdEFzB0xt4N7LlKWIU&expires=1676329269/wp-content/uploads/2021/02/N-Gen-Math-6.Unit-10-Assessment.pdf
https://cdn.emathinstruction.com/bcdn_token=EA5tE9z-mJ1Va_v9HxCn359o4DDTLxQclTQ0Tj6FXOM&expires=1676329949/wp-content/uploads/2020/05/N-Gen-Math-6.Unit-10.Solids.Unit-Review-1.pdf
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6 weeks
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Statistics & Probablilty
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| (1) |
NY-6.SP.1a |
Recognize that a statistical question is one that anticipates variability in the data related to the question and accounts for it in the answers. |
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NY-6.SP.1b |
Understand that statistics can be used to gain information about a population by examining a sample of the population; generalizations about a population from a sample are valid only if the sample is representative of that population. |
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NY-6.SP.1c |
Understand that the method and sample size used to collect data for a particular question is intended to reduce the difference between a population and a sample taken from the population so valid inferences can be drawn about the population. Generate multiple samples (or simulated samples) of the same size to recognize the variation in estimates or predictions. |
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NY-6.SP.2 |
Understand that a set of quantitative data collected to answer a statistical question has a distribution which can be described by its center, spread, and overall shape. |
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NY-6.SP.3 |
Recognize that a measure of center for a quantitative 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. |
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NY-6.SP.4 |
Display quantitative data in plots on a number line, including dot plots, and histograms. |
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NY-6.SP.5 |
Summarize quantitative data sets in relation to their context. |
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NY-6.SP.5a |
Report the number of observations. |
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NY-6.SP.5b |
Describe the nature of the attribute under investigation, including how it was measured and its units of measurement. |
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NY-6.SP.5c |
Calculate range and measures of center, as well as describe 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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NY-6.SP.5d |
Relate the range and the choice of measures of center to the shape of the data distribution and the context in which the data were gathered. |
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Essential Question: How can we describe similarities and differences among members of a group effectively?
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Statistics & Probability
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statistical question-
measures of center-
measures of variability-
data set-
mean-
median-
mode-
range-
outlier-
dot plots-
frequency table-
relative frequency table-
histogram-
bar graph-
population-
sample size-
random sampling-
variation-
quantitative data-
distribution set-
center/spread/shape-
deviations-
probability-
chance/likelihood-
simple events-
compound events-
frequency-
outcome-
probability models-
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- Distinguish between a statistical question and a non-statistical question.
- Describe data distributions by their center, spread, and overall shape.
- Recognize that a measure of center for a numerical data set summarizes
all of its values with a single number.
- Recognize that a measure of variation describes how its values vary with a single number.
- Display numerical data in plots on a number line, including dot plots,
histograms, and box plots.
- Record, report, or determine the number of observations made in a particular data collection process.
- Describing the nature of an attribute under investigation, including
how it was measured and its units of measurement.
- Compute the mean and median of a data set.
- Describe overarching patterns in a set of data as well as any striking deviations from the overarching pattern.
- Choose appropriate measures of center and variabililty for a given data set.
- Develop an understanding of statistical variability.
- Investigate chance processes and develop, use, and evaluate probability models.
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Statistics Project Task:
https://drive.google.com/file/d/0B-JGHbDQBpQwNm41aFN6am9IMFU/view?usp=sharing
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