Math-8 Core Quarter 4
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Bivariate statistics Pythagorean Theorem applications Solids-basic review (prisms, pyramids) Volume of Prisms and Pyramids Cones, cylinders, spheres, hemi-sphere (Nets-Volume) Volume of composite figures Surface area of cones and cylinder Real number sets and subsets Classifying numbers Approximating and ordering irrational expressions Solving equations using square and cubed roots
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Quarter 4 |
Statistics Bivariate Quantitative Data Bivariate Statistics-based on two variables Building scatter plots from bivariate data Reading data from scatter plots Lines of best fit/trend lines Drawing lines of best fit through data Positive, negative, or no association Clustered data Non-linear patterns of data Outliers Writing Equations of lines of best fit Predicting using line of best fit Interpolation and extrapolation
Qualitative Data Categorical data Building two-way tables Interpreting two way-tables Joint frequencies Marginal frequencies Relative joint frequenies Ralative joint frequencies
Applied Geometry Pythagorean Theorem Applications Two-dimensional applications Three-dimensional applications
Solids Solids-Basic Review (Prisms, Pyramids) Volume of Prisms and Pyramids Volume of cylinder, sphere, hemisphere, cones Composite figure volume Cones, cylinders, spheres (Nets) Surface Area of cones and cylinder Changes in dimension-similar figures
Number System Real number sets and subsets Classifying numbers Approximating and ordering irrational expressions Solving square root equations Solving cubic root equations
Cumulative Vocabulary Project
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Statistics Quantitative Data How does bivariate data differ from univariate data? How can we display data with two different variables? Should we connect the data points in a scatter plot? How does having accurate and appropriate scales help us understand the bivariate data? What types of words can we use to describe how data is plotted on a scatter plot? What does a clustering of data points indicate? Can we determine from the scatter plot if we have a positive, negative or no association? What is an outlier? How does an outlier affect the data? How would the points look if there was a strong association? Weaker association? How can we describe a pattern of data? How can we draw a trend line to best represent the data? Will the trend always be linear? Can we use the trend line to make predictions? How can we make predictions for data that is well outside the scope of the scatter plot? Which two points should we use to develop our line of best fit? Will everyones equations of the line of best always be the same?
Qualitative Data How can we use a table to demonstrate associations between categorical data? Does it matter which variables are rows or column? What does each cell represent? How can we determine marginal frequencies? Can we determine percents of joint frequencies out of total? Can we determine percents of marginal frequencies out of total? What would you need to do to find percents of single categories? What does relative mean? What are relative joint and marginal frequencies?
Applied Geometry How can we use our knowledge of Pythagorean Theorem to prove given lengths are those of a right triangle? How can we apply Pythagorean Theorem to find measures of real life situations in two dimensions? How can we use Pythagorean Theorem for direct measurement in our three dimensional world?
Solids What is a solid? How do solids differ from other figures you have learned? How can we classify solids? How do we name solids? How can we determine the amount of space within a solid? What unit of measure would we use? Why can't we measure using squares like we did with area? What is the general concept of volume? Can we create a general formula for volume of solids? Are their solids the general formula does not apply to? How do pyramids and cones volumes compare to prisms and cylinders of same bases? How can we determine the formula of a sphere? Hemi-sphere? How can we determine the volume of composite figures? Is it important to state the units you measured volume in? What does stating cubic units show you understand? How does surface area differ from volume? Can you draw the nets of a cone and a cylinder? Can you devleop a formula to cover the total surface area of the solid? What units do we use to measure surface area? If two figures are similar, how does the scale factor afffect the dimensions of the figure? What is the relationship between two figures dimensions, area and volume, in reference to its scale factor? Can we just use the scale factor, to determine a similar figures area and volume? If given area or volume of similar figures, can we determine a missing dimesion?
Number System How can we determine the sets of real numbers a numerical value belongs to? Can we classify a number as rational and irrational? How can we approximate the value of irrational numbers written as square roots? How can we determine which two consecutive integers an irrational number lies between? How will you determine if it is shy or past the halfway mark between two integers? Can we place all real number sets on a number line? Are their any sets that cannot be displayed on a real number line? How many numbers lie between integers on a number line? When solving equations with square and cubed roots, how can you determine if your results will be rational or irrational? |
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Statistics Quantitative Data Construct scatter plots from given data points List data from scatter plot Determine if data displayed has a positive, negative or no association Determine if data is clustered or not Determine if there is an outlier Draw a trend line through data - appears linear Draw a trend line though curved data Determine the slope of trend line Determine the y-intercept of the trend line using y = mx + b Write the equation of the line of best fit (trend line) Use the line of best fit to make predictions(interpolate, extrapolate)
Qualitative Data Recognize the difference between quantitative and qualitative variables Interpret categorical data in two way tables Establish difference between rows and columns Determine joint frequencies of categorical data Determine marginal frequencies of categorical data Determine relative joint frequencies of categorical data Determine relative marginal frequencies of categorical data Convert relative frequencies to percentages Build two-way frequency tables
Applied Geometry Use converse of Pythagorean theorem to prove given lengths are those of right triangle Find missing side of a right triangle in two dimensional description of real life situation (indirect measurement) Create real life use of Pythagorean theorem, for indirect measurement. Slice three dimensional figures to determine lengths drawn in solids, based on right triangles The Number System Determine subsets of real number sets Describe and list the elements in each subset of real numbers Classify a given numerical value by stating all sets (subsets) it is an element of Determine approximations of irrational numbers State two consecutive integers each irrational number lies between Ordering real numbers on a number line Solving equations using square and cubed roots Determine if solutions to an equation are rational or irrational
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Statistics display scatter plot line of best fit qualitative data quantitative data association positive association negative association strong association no association linear association non-linear (curved) association clustering outlier categorical data interpolation extrapolation prediction row column two-way table joint frequency marginal frequency relative joint frequency relative marginal frequency indirect measure slicing solids nets volume prism pyramid cylinder cone sphere hemi-sphere composite figure surface area square units cubic units real numbers rational numbers irrational numbers integers whole natural/counting numbers
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Math Chat Writing prompt Classroom assessments Pass paper Judy Dodge exits Exit tickets Daily and weekly spirals Benchmarks IXL |
Glencoe Course 3 Text Big Ideas Text-Grade 8 Holt-McDouglal Mathematics Grade 8 IXL New York State Modules |
