Alvarado Intermediate School 20152016 Teacher: Mrs. Patrick Grade: 5th Content Area: Honors Math
Week 24: February 2226, 2016 Unit 9: Patterns on a Coordinate Plane Unit 10: Representing Data
Content TEKS Covered:
CrossCurricular STAAR TEKS Supported: (nontested content areas only)
Essential /Guiding Question(s):
Academic Vocabulary:
5.4C Generate a numerical pattern when given a rule in the form y = ax or y = x + a and graph. Readiness Standard 5.4D Recognize the difference between additive and multiplicative numerical patterns given in a table or graph. Supporting Standard 5.8A Describe the key attributes of the coordinate plane, including perpendicular number lines (axes) where the intersection (origin) of the two lines coincides with zero on each number line and the given point (0, 0); the x coordinate, the first number in an ordered pair, indicates movement parallel to the x axis starting at the origin; and the y coordinate, the second number, indicates movement parallel to the y axis starting at the origin. Supporting Standard 5.8B Describe the process for graphing ordered pairs of numbers in the first quadrant of the coordinate plane. Supporting Standard 5.8C Graph in the first quadrant of the coordinate plane ordered pairs of numbers arising from mathematical and realworld problems, including those generated by number patterns or found in an inputoutput table. Readiness Standard 5.9B Represent discrete paired data on a scatterplot. Supporting Standard 5.9C Solve one and twostep problems using data from a frequency table, dot plot, bar graph, stemandleaf plot, or scatterplot. Readiness Standard
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What relationship exists between the two perpendicular number lines and the origin? What relationship exists between the first number in an ordered pair and the xaxis? What relationship exists between the second number in an ordered pair and the yaxis? What is the process for locating the x coordinate in an ordered pair? What is the process for locating the y coordinate in an ordered pair? What is the relationship between the origin and location of an ordered pair on the coordinate plane?
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Additive numerical pattern – a pattern that occurs when a constant nonzero value is added to an input value to
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determine the output value ( y = x + a )
Axes – the vertical and horizontal lines that act as a reference when plotting points on a coordinate plane
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Coordinate plane – a twodimensional plane on which to plot points, lines, and curves
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What is the process for graphing an ordered pair once the x and y coordinates have been located? What is discrete paired data? What are the characteristics of scatterplots? What is the process to construct a scatterplot? What types of problems can be solved from analyzing and interpreting data in a scatterplot?
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Counting (natural) numbers – the set of positive numbers that begins at one and increases by increments
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of one each time {1, 2, 3, ..., n}
Decimal number – a number in the base10 place value system used to represent a quantity that may include part of a whole and is recorded with a decimal point separating
the whole from the part ●
Factor – a number multiplied by another number to find a product
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Fraction – a number in the form
where a and b are
whole numbers and b is not equal to zero . A fraction can
be used to name part of an object, part of a set of objects, to compare two quantities, or to represent division. ●
Improper fraction – a number in the form
where a
and b are whole numbers and a > b where b is not equal to zero ●
Inputoutput table – a table which represents how the application of a rule on a value, input, results in a different value, output
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Intersecting lines – lines that meet or cross at a point
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Mixed number – a number that is composed of a whole number and a fraction
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Multiplicative numerical pattern – a pattern that occurs when a constant nonzero value is multiplied by an input value to determine the output value ( y = ax)
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Origin – the starting point in locating points on a coordinate plane
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Perpendicular lines – lines that intersect at right angles to each other to form square corners
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Product – the total when two or more factors are multiplied
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Proper fraction – a number in the form
where a and b
are whole numbers and a < b where b is not equal to zero Quadrants – any of the four areas created by dividing a plane with an x axis and y axis
Whole numbers – the set of counting (natural) numbers and zero {0, 1, 2, 3, ..., n }
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Bar graph – a graphical representation to organize data that uses solid bars that do not touch each other to show the frequency (number of times) that each category occurs
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Categorical data – data that represents the attributes of a group of people, events, or objects
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Data – information that is collected about people, events, or objects
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Discrete data – data with finite and distinct values, not inclusive of inbetween values
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Dot plot – a graphical representation to organize data that uses dots (or Xs) to show the frequency (number of times) that each number occurs
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Frequency table – a table to organize data that lists categories and the frequency (number of times) that each category occurs
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Numerical data – data that represents values or observations that can be measured and placed in ascending or descending order
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Scatterplot – a graphical representation used to display the relationship between discrete data pairs
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Stemandleaf plot – a graphical representation used to analyze and compare groups or clusters of numerical data by separating one place value from another place value of a data set. The larger of the two place values is called the stem and the smaller of the two place values is called the leaf.
WICOR Components (highlight): Writing Inquiry Collaboration Organization Reading Learning Engage Explore Explain Elaborate Evaluate Closing Objective(s): Task(s): Monday Staff I will… We will… Development Tuesday We will… solve questions related to the first quadrant of a coordinate plane.
The students will complete the Unit 9 Assessment.
I will… share with my teacher, on a post it note, what I still need to work on from this unit.
Wednesday We will… recognize and
explain the difference between additive patterns and multiplicative patterns.
Thursday We will… discuss
the difference in numerical and graphical data.
Friday We will... .solve
one and two step problems using scatterplots.
As a table, create a list of different types of graphs or tables you have seen before. Draw and example if needed.
Students will create a foldable explaining Numerical and Graphical Data. These foldables will be glued into their math journals. As a class, we will work through Textbook 16.6 p.605606.
2. Students will refer back to the notes in their journals on additive and multiplicative patterns. As a class we will discuss these two patterns.
1. Students will complete the Unit 9 Assessment from Tuesday. 3. Students will write an explanation on Additive and Multiplicative patterns. This will be apart of the Unit 9 Test.
I will… complete
I will… share with my partner the difference in numerical data and graphical data.
Bilingual/ESL Language Support:
I will… share how scatterplots are similar to coordinate planes.
Individual Customized Learning Differentiated Academic Support:
my writing assignment as an exit ticket.
Behavioral Support:
