3-28-2013 Stacking Up the Seventh Grade Stats

TECHING THE CCCS

MATHEMATICS STANDARDS

GRADES 6-8

MATH GRADE 7: STATISTICS pT. 1

Grade 7 Statistics and Probability: Part 1
Use random sampling to draw inferences about a population.		RESOURCES
7.SP.1.	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. Understand that random sampling tends to produce representative samples and support valid inferences.	Interactive Spinner Adjustable Spinner  Adjustable Spinner - Analyzing game probabilities - Coin Flipping page Interactive Probability Tutorial  Interactive Probability Tutorial  Interactive Probability Tutorial  Interactive Probability Tutorial  Interactive Probability Tutorial  Lions and Tigers  Marbles  Probability  Probability Theory: The Layman's Guide to Probability  Two Colors  Understanding Experimental Probability  What are Your Chances
7.SP.2.	Use data from a random sample to draw inferences about a population with an unknown characteristic of interest. Generate multiple samples (or simulated samples) of the same size to gauge the variation in estimates or predictions. For example, estimate the mean word length in a book by randomly sampling words from the book; predict the winner of a school election based on randomly sampled survey data. Gauge how far off the estimate or prediction might be.	Sampling Making Inferences Party Comedian  Party Mode  Rugby Math  Send in the Trolls  The Beatles Averages  Working with Measures of Central Tendency
Draw informal comparative inferences about two populations.
7.SP.3.	Informally assess the degree of visual overlap of two numerical data distributions with similar variabilities, measuring the difference between the centers by expressing it as a multiple of a measure of variability. For example, the mean height of players on the basketball team is 10 cm greater than the mean height of players on the soccer team, about twice the variability (mean absolute deviation) on either team; on a dot plot, the separation between the two distributions of heights is noticeable.	Lessons Unit Plan Battle of the Batteries Bobcat Stats Digital Statistics Heads or Tails How Tall Movie Poster Peanuts Peas in a Pod Popcorn Drop The Tallest Dog Tetradice Viewership Weather Patterns
7.SP.4.	Use measures of center and measures of variability for numerical data from random samples to draw informal comparative inferences about two populations. For example, decide whether the words in a chapter of a seventh-grade science book are generally longer than the words in a chapter of a fourth-grade science book.	Jupiter Is Average - Landmark Chart Numbers - Mean and Median - Mean and Range - Mean Green Machine - Mean, Median, and Mode Calculator - Mean, Median, Mode, and Range - Mean, Median, Mode, and Range - Measures of Central Tendency - Measures of Central Tendency: Mean, Median, and Mode - Measures of Spread: Box and Whisker Plots – Median - Medians - Minimum, Maximum, Mode, and Range - Mode and Range - Party Comedian - Party Mode - Rugby Math  Send in the Trolls - The Beatles Averages - Working with Measures of Central Tendency

3/27/2013 Statistically Speaking

TECHING THE CCCS

MATHEMATICS STANDARDS

GRADES 6-8

MATH GRADE 8: GEOMETRY

Grade 6 Statistics and Probability
Develop understanding of statistical variability.		RESOURCES
6.SP.1.	Recognize a statistical question as one that anticipates variability in the data related to the question and accounts for it in the answers. For example, “How old am I?” is not a statistical question, but “How old are the students in my school?” is a statistical question because one anticipates variability in students’ ages.	Recognize Statistical Questions Forming a Statistical Question Recognizing Statistical Questions Writing Statistical Questions
6.SP.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.	Center, Spread, and Shape Describing Distributions Distributions Quiz Leap Frog Marbles Practice with Data Understanding Probability Theoretical Probability Handling Data Handling All That Data
6.SP.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.	Jupiter is Average Mean and Median Interactive Mean Green Machine Central Tendency Worksheets Measures of Spread Braining Camp: Median Medians The Party is Here Send in the Trolls Chances
Summarize and describe distributions.
6.SP.4.	Display numerical data in plots on a number line, including dot plots, histograms, and box plots.	Reading Charts and Graphs Stem and Leaf Plots Stem and Leaf Stem and Leaf Lesson STem and Leaf Box and Whisker Box Plot Braining Camp: Box Plots Box Plotter Box and Whisker Plot The Pizza Palace Bar Graph Bar Graphs Graphing Calculator Collecting and Analyzing Data Quiz Data Interpretation Games Exploring Histograms Histogram Line Graphs Line Graph Line Graph Lesson Long Distance Airplanes Push Ups
6.SP.5.	Summarize numerical data sets in relation to their context, such as by: ·         Reporting the number of observations. ·         Describing the nature of the attribute under investigation, including how it was measured and its units of measurement. ·         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. ·         Relating the choice of measures of center and variability to the shape of the data distribution and the context in which the data were gathered.	Wolfram Alpha Interpreting Graphs Steppin Out Math Project Collecting Data Activity Explaining Your Results Using Graphs to Understand Data What Percentage of Your Class is...

3-26-13 Getting in Shape with 8th Grade Geometry

TECHING THE CCCS

MATHEMATICS STANDARDS

GRADES 6-8

MATH GRADE 8: GEOMETRY

Grade 8 Geometry
Understand congruence and similarity using physical models, transparencies, or geometry software.		RESOURCES
8.G.1.	Verify experimentally the properties of rotations, reflections, and translations: ·         Lines are taken to lines, and line segments to line segments of the same length. ·         Angles are taken to angles of the same measure. ·         Parallel lines are taken to parallel lines.	Turning Man Symmetry Notes on a Triangle Rotational Symmetry Alphabet Geometry Isometry Transformations Saxson Math Explanatory Interactive Transformations and Symmetry Beacon Practice
8.G.2.	Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations; given two congruent figures, describe a sequence that exhibits the congruence between them.	Sorting Symmetry Congruent Figures Math is Fun: Congruent
8.G.3.	Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates.	Math Movements Lesson Practice Transformations Wrapping Paper Patterns Transformations in the Coordinate Plane Lessons and Practice
8.G.4.	Understand that a two-dimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations, reflections, translations, and dilations; given two similar two-dimensional figures, describe a sequence that exhibits the similarity between them.	Dilation Worksheets Dilation, Scale Factors, and Similar Figures Similar Transformations and Similarity Unit
8.G.5.	Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles. For example, arrange three copies of the same triangle so that the sum of the three angles appears to form a line, and give an argument in terms of transversals why this is so.	Transversals Parallel Lines Cut by Transversals Proofs with Angles and Transversals Parallel Lines and Transversals Interior and Exterior Angles and Sides
Understand and apply the Pythagorean Theorem.
8.G.6.	Explain a proof of the Pythagorean Theorem and its converse.	Pythagorean Theorem Proofs Khan Academy: Garfield's Proof  Graphical Proof
8.G.7.	Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions.	Baseball Problem Math is Fun: Pythagoras  Pythagorean Theorum Game Interactivate: Pythagorean Theorum
8.G.8	Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.	The Math Page: Distance Formula Math Warehouse: Distance Formula Distance Formula Animations
Solve real-world and mathematical problems involving volume of cylinders, cones, and spheres.
8.G.9.	Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.	Get a Shape's Volume Cylinders, Cones, and Spheres Volume Formulas Volumes of Cones, Cylinders, and Spheres

3-20-13 Size, Shape, Scale, Solved!

TECHING THE CCCS

MATHEMATICS STANDARDS

GRADES 6-8

MATH GRADE 7: GEOMETRY

Grade 7 Geometry
Draw construct, and describe geometrical figures and describe the relationships between them.		RESOURCES Unit on Discovery Ed
7.G.1.	Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale.	Scale drawings on Basic Mathematics.com IXL scale drawings Scale Drawings tutorials BrainPOP scale drawing Scale Drawing lessons on Pinterest
7.G.2.	Draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle.	Worksheet: Shapes from properties BBC Drawing Triangles Learn Zillion Draw Triangles Math Open Reference GeoGebra: 3 angles Constructing Triangles
7.G.3.	Describe the two-dimensional figures that result from slicing three-dimensional figures, as in plane sections of right rectangular prisms and right rectangular pyramids.	Teaching Cross-Sections of 3D Shapes Geo Faces and Frames Lesson Learn Zillion: Slicing 3D Figures Lesson on Mentor Mob
Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.		Yay Math: Geometry
7.G.4.	Know the formulas for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle.	Circle Tool Circumference and Area on Math Goodies Circle Lessons on ShareMyLesson.com Circles: Radius, Diameter and Circumference on Khan Academy Area, Volume and Perimeter ideas on Pinterest
7.G.5.	Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple equations for an unknown angle in a figure.	Angles Home Study guide IXL: Missing Angle Finding Angles Practice Supplementary Angles Vertical Angles Complementary Angles Finding Unknown Angles
7.G.6.	Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.	3D tin Geometric Formulas Explore and Play with Surface Area Surface Area and Volume Activity Investigating Geometry Online Geometry Word Problems Art and Geometry