Math-7 Core Map Quarter 4
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Statistics Populations Samples Bias/Unbiased Quartiles Five number summary Box and whisker plots Dot- Plots Comparing Data Making Predictions Misleading graphs and statistics
Probability Probability of simple events Complementary events Theoretical and Experimental Probability Fair and unfair games Probability of compound events Simulations Simulate compound events Fundamental Counting Principle Permutations Dependent and Independent Events
Geometry Basics: plane, point, line, segments and rays Angles-classifying Triangles-classifying by sides Triangles-classify by angles Interior sum of triangles Finding missing interior angle/s of triangles (using equations) Quadrilaterals-classifying Interior sum of quadrilaterals Finding missing interior angle/s of quadrilaterals (using equations) Classifying quadrilaterals with more than 4 sides Determining the sum of interior angles by creating triangles Constructing triangles to determine relationships of sides that form unique triangle Describe two dimensional figures from slicing solids
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Quarter 4 |
Statistics Difference between population and sample Differences in types of populations Bias in samples or populations Examining univariate data-centers and spread Five number summary Box and whisker plots Dot plots Histograms Comparing data through data displays Comparing data using centers and ranges Make predictions using proportions Determine if data or data displays are bias
Probability Probability of simple events-single event Complementary events-one or the other must happen Theoretical Probability-ideally what should happen Experimental Probability-what actually occurred during experiment Fair and unfair games-equal chance of winning Probability of compound events-two or more simple outcomes Simulations-experiment to describe model Simulate compound events Fundamental Counting Principle-product of each single events outcomes Permutations-number of ways items can be ordered (order matters)
Geometry Basics: plane, point, line, segments and rays Naming geometric shapes and labeling point, segments, lines, rays and angles Angles-classifying Triangles-classifying by sides Triangles-classify by angles Interior sum of triangles (180) Finding missing interior angle/s of triangles (using equations) Exterior angles of triangles and relationship to two non-adjacent interior angles Quadrilaterals-classifying Interior sum of quadrilaterals Finding missing interior angle/s of quadrilaterals (using equations) Classifying quadrilaterals with more than 4 sides Determining the sum of interior angles by creating triangles (number of triangles is always two less than the number of sides) Constructing triangles to determine relationships of sides that form unique triangle-sum of two sides must always be greater than the third Describe two dimensional figures from slicing solids
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Statistics How can you gather information from a large population of people? How can we determine which sample represents the population the best? How can we determine if a sample has a bias? When there is only one variable, what type of data is that called? How can we find the centers of the data list? How does having an outlier in the data affect the centers? How do you know if a data point is a true outlier? Why should we determine the range? What does it tell us about the data? Can we divide the data and use other markers to help make sense of the data? Why is it necessary to place dot and box plots over a strict number line? How can we use different displays to compare data collected? How can data be skewed to represent data more favorably? How can you determine if a display is misleading?
Probability How does understanding probability help us understand and predict future events? How can we describe an event that will never occur? How can we describe an event that will absolutely occur? How do you think we would describe an event that is equaliy likely to occur? What about less or more than equaly likely? Why do complementary events have to have a sum of 1? How come there is a difference between theoretical and experimental probability? How can knowing the probability of an experiment help predict future events? As you complete more experiments, how do you think the experimental and theoretical probability will compare? What do you think a fair game is (vs. unfair)? How do you think we can determine the probability of compound events? How does drawing a sample space tree diagram help find probability of compound events? How does the Fundamental Counting Principle become useful with compound events? How can we determine how many ways items or numbers can be arranged? Where order matters? How do perumutations relate to real life? How do dependent and independent events differ?
Geometry How can we label (name) geometric figures? What is a plane? Where do you hear about angles most in your life? What are all angles based off of? Can we examine a full circular rotation and determine that an angle is a portion of that rotation? How can we classify angles, based on their size? How can we estimate the size of angles? When two lines intersect, how many angels are formed? Is their a relationship between them? Are all angles in the intersection adjacent? Can we name special pairs of angles? What is a triangle? How can we classify angles by sides and then by angles? Can we determine the number of interior angles in all triangles? Can we use equations to find missing angles? How does knowing the size of an angle affect the opposite side? How does knowing the size of the opposite size help you determine information about the opposite angles? How can we find the missing angles of quadrilaterals? Can we use equations to determine the missing angles of quadrilaterals? How do we name polygons that have more than 4 sides? How can we determine the sum of the interior angles of a polygons? Can we construct triangles using compass and straight edge? Is there a general rule that must be followed for a triangle to be formed? If we slice solids to reveal two dimensional figures, could you name the two dimensional figure?
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Statistics Determine a sample of a population Understand the difference between random, stratified, convenience & systematic sampling Determine if a sampling is bias or unbias Examine data using quartiles Examine interquartile ranges Find fivenumber summary Build box and whisker plots Compare data displayed in box and whisker plots Determine if the range or the interquartile range describes the data best Determine when the mean or the median is the best center Determine the affect of outliers in centers and display Make predictions using proportions and data display
Probability Determine probabilty of simple event Understand random results - equally likely to occur Understand that probability can be written as a fraction, decimal or percent Determine the complement of a given event Determine probability form charts and bar graphs Determine the theortical and experimental probability of given situation Verbally describe the difference between theoretical and experimental probability Use theoretical or experimental probability to predict outcomes of future events Determine if a game is fair or unfair Determine the probability of compound events State sample space - draw probability tree Predict the outcome of future events Use Fundamental Counting Principle to determine outcomes Apply Fundemental Countiing Principle to determine probability of compound accounts Use permutations to determine the number of ways can be ordered Determine probability of independent events Determine probability of dependent events
Geometry Label point, line, segment, ray and angles (Multilple methods) Examine a full rotation, three quarter, half and quarter degree markers Examine angles acute, right, obtuse, straight and reflexive Estimating the number of degrees in an angle Understand the relationships of complementary and supplementary angles Determine the number of degrees in a complement or supplement of a given angle Determine the difference between the supplement and complement of a given angle Describe the difference between supplementary angles and linear pairs Examine the relationship between angles formed in a single intersection Determine the meause of vertical angles Solve equations to find missing variable given a pair of angles in a single intersection Classify triangles by sides Classify trianlges by angles Determine the sum of interior angles is 180-using a straight angle model Find missing angle of a given triangle Solve equations to find the missing variable given a measures of the angles of a triangle Determine the smallest and largest sides of a given triangle Determine the relationship between base angles of isosceles triangles and their opposite sides Identify quadrilaterals Read and create markings to decipher specific quadrilaterals (congruence, parallelism, right angles) Determine the sum of the interior angles of a quadrilateral by slicing into two triangles Determine the missing angle in a quadrilateral Use equations to find missing variable when interior angles are expressions Determine which angles are always congruent in specific quadrilaterals Classify polygons with more than 4 sides Determine the sum of the interior angles of polygons based on the number of tirangles formed Construct triangles-discover the sum of two sides must always be longer than the third to create a unique triangle Describe the two-dimesional figure sthat result from slicing three dimesional figures
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biased samples box-and-whisker plot convenience sample interquartile range lower quartile upper quartile mean median mode outlier population random sample range sample upper quartile systematic random sample voluntary response sample simple random sample stratified samples convenience sampling systematic sample survey dot plot probability complementary events compound events dependent events experimental probability fair Fundamental Counting Principle independent events outcome permutation random sample space simple event simulation theoretical probability tree diagram unfair plane point line line segment ray angle acute angles obtuse angles right angles straight angles reflex angles degrees intersection complementary supplementary linear pairs quadrilaterals parallelograms rectangle rhombus square trapezoid isosceles trapezoid congruent interior angles exterior angles parallel lines transversals constructions protractor compass 2-dimensional 3-dimensional
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Writing Assessment Unit Assessment Benchmark Assessment IXL-technology informal assessment |
Glencoe Course 2 Text State Modules IXL Big Ideas Accelerated -Ron Larson Big Ideas Grade 7-Ron Larson Holt McDougal-Grade 7 |
