CRITICAL AREA 4.7
MATHEMATICS
DOMAIN: Geometry
CLUSTERS:

ADDITIONAL CONTENT CLUSTER: 7.G.A. Draw, construct, and describe geometrical figures and describe the relationships between them.

ADDITIONAL CONTENT CLUSTER: 7.G.B. Solve reallife and mathematical problems involving angle measure, area, surface area, and volume.
DOMAIN: Statistics and Probability
CLUSTERS:

SUPPORTING CONTENT CLUSTER: 7.SP.A. Use random sampling to draw inferences about a population.

ADDITIONAL CONTENT CLUSTER: 7.SP.B. Draw informal comparative inferences about two populations.

SUPPORTING CONTENT CLUSTER: 7.SP.C. Investigate chance processes and develop, use, and evaluate probability models.
ADDITIONAL CONTENT STANDARDS
ROBERTO MOLINARI: A Day Without Statistics
Published on Feb 26, 2013
This video was created by the members of the Research Center for Statistics of the University of Geneva. It participates to the ASA Video Contest for the International Year of Statistics 2013.
SUPPORTING AND ADDITIONAL CONTENT STANDARDS
GRADE 7 MATH; GEOMETRY
LESSON PLAN IDEAS...

Generates basic quizzes in arithmetic.
Math Antics  Area
Learn More at mathantics.com
Visit http://www.mathantics.com for more Free math videos and additional subscription based content!
ACTIVITIES
Symbaloo Gallery; a Webmix Common Core Math
Variety of lessons and interactive games, Illuminations works to serve you by increasing access to quality standardsbased resources for teaching and learning mathematics, including interactive tools for students and instructional support for teachers.
Solve a scale drawing word problem  Geometry  7th grade  Khan Academy
STANDARD 1.
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.
Each unit is a sequence of lessons on a particular geometric topic.
JESSE SCHILLING:
Scale Drawings
KHAN ACADEMY:
Area and Perimeter
WETRODENT:
Scale Drawings and Models
FRONT ROW:
[7.G.11.0] Scale Drawings  Common Core Standard
Construct a right isosceles triangle  Geometry  7th grade  Khan Academy
STANDARD 2.
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.
HAVE FUN TEACHING:
Polygon Song Video
CIRCLE LINE ART SCHOOL:
How to Draw an Impossible Triangle in a Very Simple Way
FRONT ROW:
[7.G.21.0] Drawing Triangles  Common Core Standard
FRONT ROW:
[7.G.21.2] Drawing Triangles  Common Core Standard
Math Shorts Episode 8  Slicing Three Dimensional Figures by PlanetNutshell
STANDARD 3.
3. Describe the twodimensional figures that result from slicing three dimensional figures, as in plane sections of right rectangular prisms and right rectangular pyramids.
PBS MATH CLUB:
3D Shapes into 2D Objects  SliceMaster 2000  PBSMathClub
FRONT ROW:
[7.G.31.0] Slices of 3D Figures  Common Core Standard
TENMARKS:
Identify Cross Sections
SSGTMATH:
MACC.7.G.3  Common Core Ideas
Circumference of a circle  Geometry  7th grade  Khan Academy
STANDARD 4.
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.
"Circles: Circumference & Area"
"All You Need Is Pi and the Radius"
MATH ANTICS:
Circles, Circumference And Area
ZAAXACOM:
Finding radius, diameter, circumference and area of circles (HD)
FRONT ROW:
[7.G.42.4] Circle Properties  Common Core Standard
SHMOOP:
Circles by Shmoop
Complementary and supplementary angles  Angles and intersecting lines  Geometry  Khan Academy
Download resources for this lesson at http://learnzillion.com/lessons/827
STANDARD 5.
5. Use facts about supplementary, complementary, vertical, and adjacent angles in a multistep problem to write and solve simple equations for an unknown angle in the figure.
EMILIE WISNER:
7.G.5 Complementary & Supplementary Angles
FRONT ROW:
[7.G.52.0] Angle Equations  Common Core Standard
FRONT ROW:
[7.G.51.5] Angle Equations  Common Core Standard
FRONT ROW:
[7.G.51.0] Angle Equations  Common Core Standard
FRONT ROW: [7.G.61.0] Composite Figures  Common Core Standard
STANDARD 6.
6. Solve realworld and mathematical problems involving area, volume and surface area of two and threedimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.
"Similar Triangles Rap"
"The tale of a couple of young triangle bachelors, scouting out a party looking to score a few phone numbers..." Calford Math
KHAN ACADEMY:
Finding surface area: nets of polyhedra  Perimeter, area, and volume  Geometry  Khan Academy
FRONT ROW:
[7.G.62.0] Composite Figures  Common Core Standard
THE LEARNING POD:
Area of composite shapes
HAVE FUN TEACHING:
Volume Song Video
NATIONAL GEOGRAPHIC:
7 Billion, National Geographic Magazine

Learn more about population here: http://ngm.nationalgeographic.com/7billion
NPR:
7 Billion: How Did We Get So Big So Fast?
STANDARDs 1 & 2.
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.
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.

OPUS: Grade 7: Random sampling: Understand sampling [7.SP.1]

OPUS: Grade 7: Random Sampling: Draw Inferences based on random samples [7.SP.2]
FRONT ROW:
[7.SP.11.0] Intro to Sampling  Common Core Standard
FRONT ROW:
[7.SP.21.0] Using Random Samples  Common Core Standard
FRONT ROW:
[7.SP.13.3] Intro to Sampling  Common Core Standard
BRIT CRUISE:
Random sampling warmup
Measures of Center by Anywhere Math
SUPPORTING STANDARDs 3 & 4.
SUPPORTING STANDARD: 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.
SUPPORTING STANDARD: 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 seventhgrade science book are generally longer than the words in a chapter of a fourthgrade science book.
KHAN ACADEMY:
Measures of Center
[7.SP.42.0] Comparing Data Sets  Common Core Standard by Front Row
FRONT ROW:
[7.SP.41.0] Comparing Data Sets  Common Core Standard
FRONT ROW:
[7.SP.31.0] Assessing Data Overlap  Common Core Standard
SUPPORTING STANDARDs 5 & 6.
SUPPORTING STANDARD: 5. Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring. Larger numbers indicate greater likelihood. A probability near 0 indicates an unlikely event, a probability around 1/2 indicates an event that is neither unlikely nor likely, and a probability near 1 indicates a likely event.
SUPPORTING STANDARD: 6. Approximate the probability of a chance event by collecting data on the chance process that produces it and observing its longrun relative frequency, and predict the approximate relative frequency given the probability. For example, when rolling a number cube 600 times, predict that a 3 or 6 would be rolled roughly 200 times, but probably not exactly 200 times.

OPUS: Grade 7: Probability models: Understand probability [7.SP.5]

OPUS: Grade 7: Probability models: Probability approximations [7.SP.6]
Probability from compound sample space  Statistics and probability  7th grade  Khan Academy
Intuitive sense of probabilities  Statistics and probability  7th grade  Khan Academy
WORLD SCIENCE FESTIVAL:
The Illusion of Certainty: Risk, Probability, and Chance
FRONT ROW:
[7.SP.62.0] Probability of Chance Events  Common Core Standard
FRONT ROW:
[7.SP.61.0] Probability of Chance Events  Common Core Standard
TEDED:
The last banana: A thought experiment in probability  Leonardo Barichello
ENGINEER CLEARLY:
Sample Spaces Probability
Download resources for this lesson at http://learnzillion.com/lessons/1206

LEARNZILLION: Developing probability modelsLesson 2 of 4 (Common Core Standard 7.SP.7a)
SUPPORTING STANDARD 7.
SUPPORTING STANDARD: 7. Develop a probability model and use it to find probabilities of events. Compare probabilities from a model to observed frequencies; if the agreement is not good, explain possible sources of the discrepancy.

Develop a uniform probability model by assigning equal probability to all outcomes, and use the model to determine probabilities of events. For example, if a student is selected at random from a class, find the probability that Jane will be selected and the probability that a girl will be selected.

Develop a probability model (which may not be uniform) by observing frequencies in data generated from a chance process. For example, find the approximate probability that a spinning penny will land heads up or that a tossed paper cup will land openend down. Do the outcomes for the spinning penny appear to be equally likely based on the observed frequencies?
Comparing theoretical to experimental probabilites  7th grade  Khan Academy
NEA PORTAL:
Simple and Compound Probability  Grade 7 Common Core Mathematics
PROBABILITY MODELS:
7.RP.7
FRONT ROW:
[7.SP.7b1.0] Developing Probability Models  Common Core Standard
FRONT ROW:
[7.SP.7a1.0] Uniform Probability Models  Common Core Standard
SUPPORTING STANDARD 8.
SUPPORTING STANDARD: 8. Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation.

Understand that, just as with simple events, the probability of a compound event is the fraction of outcomes in the sample space
for which the compound event occurs.

Represent sample spaces for compound events using methods such as organized lists, tables and tree diagrams. For an event
described in everyday language (e.g., “rolling double sixes”), identify the outcomes in the sample space which compose the event.

Design and use a simulation to generate frequencies for compound events. For example, use random digits as a simulation tool to
approximate the answer to the question: If 40% of donors have type A blood, what is the probability that it will take at least 4 donors to find one with type A blood.
FRONT ROW:
[7.SP.8a1.0] Probability of Compound Events  Common Core Standard
TEXTBOOK TACTICS:
Probability of Compound Events
WETRODENT:
Probability of Compound Events
KHAN ACADEMY:
Compound probability of independent events  Probability and Statistics  Khan Academy
KHAN ACADEMY:
Probability explained  Independent and dependent events  Probability and Statistics  Khan Academy