Home
Unit 3
Enduring Understandings
-How do we use graphs
and graphic organizers to convey realistic data?
-How can we show
patterns and relationships between data using graphic organizers?
-How does the type
of data influence the choice of graph?
-What kinds of
questions can be answered using different data displays?
-In what ways can
sets of data be organized in an understandable form?
-How can functions
be represented through graphic organizers?
Data Analysis and Probability Games: http://www.mathwire.com/games/datagames.html
Lee's Summit List of Math Sites: http://its.leesummit.k12.mo.us/mathematics.htm
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Line Plot - displays data along a number line.
In this graph the majority students (6) have 1 pet. Five students don't have a pet. One student has 14 pets! Wow!
Outlier
- a number in a data set that is very different from the rest of the numbers.
Line Plot - displays data along a number line.
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Outlier
-A
number in a data set that is very different from the other numbers.
The
median
is the middle number when the data are listed in order.
The
number of raisins in our boxes:
10,
26,
26,
27,
30,
32,
32,
32,
34
x
30 is
the median.
The
mode
is the number or numbers that occur most often in the data.
10,
26,
26,
27,
30,
32,
32,
32,
34. The mode is 32.
The range
is the difference between the greatest and the least number in the data.
10,
26, 26, 27, 30, 32, 32, 32, 34
The
greatest number is 34. The least number is 10.
34 –
10 = 24. The range is 24.
The mean
is the average. It is found by adding all the numbers in a set and dividing
by the number of values.
10,
25, 20, 5, 20
The
sum is 75.
We
added 5 numbers.
Divide
75 by 5.
The
average or mean is 15.
LessonWhole Group:
A bar graph uses bars to show data.
Every bar graph must have a title, a scale, and an interval.
Numbers that show the units used on a graph are the scale.
The interval
is the way the numbers are counted on the scale. Sometimes the interval
is counting by ones, sometimes by two's , sometimes by 5's, sometimes by
10's, etc.
Bar
graphs can be vertical or horizontal.
Data Taken from LEAP Practice Samples: http://www.louisianaschools.net/lde/uploads/2150.pdf
Whole Group:http://www.prometheanplanet.com/server.php?show=ConResource.9389 Inro flip chart to graphs.
Hundreds Day Activities\
Homework: pg. 251 Set 4-8
Pictograph Flip chart http://www.prometheanplanet.com/server.php?show=ConResource.10834
How
do pictographs display data?
Pieces
of information collected are called data.
A pictograph
uses pictures or symbols to show data.
The
key
tells what quantity each symbol represents.
Notice
that the star key stands for 2 different amounts.
A
coordinate
grid uses points to identify the location
of objects.
An
Ordered
Pair is a pair of numbers that names a point
on a coordinate grid.
To
plot
a point, locate and mark the point named by an ordered pair on a grid.
Always
start at 0. Move right and then up.
Over
and UP!
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-A
line
graph connects points to show how data changes
over time.
-In
a line graph, when the line goes up from left to right, there is
an increase in the data.
-When
the line goes down, there is a decrease.
-The
increase or decrease indicates the trend
in the data.
Each part of a line graph has a purpose. Look at the line
graph below.
Daily high temperatures for one week
The title
of
the graph tells what it's about.
The labels
on the bottom and the side of the graph tell what kinds of facts
had been gathered.
The scales
along the bottom and side tell how much or how many.
The points,
or dots, tell the facts.
The lines
connecting the points give estimated values about the
line graph.
1. What is the graph about?
2. Which day had the greatest high temperature?
3. Which day has the lowest high temperature?
4. What was the high temperature on Monday?
5. What happened to the temperature between Monday and
Tuesday?
_______________________________________________________________________________________________________________
Time
Time
6. What is the graph about?
7. What is shown on the
horizontal axis?
8. What is happening to
time on the graph?
9. What is shown on the
vertical axis?
10. What is the scale for
distance from the Rangers station?
11. From 7:00 a.m. to 11:00
a.m., what happened to the distance from the
Rangers’ station?
12. What happened to the
distance from the Rangers’ station between 12
p.m. and 1:00 p.m.? What
might be the reason?
13. What happened to the
distance from the Rangers’ station between
1:00 p.m. and 2:00 p.m.?
14. What happened from
2:00 p.m. until 4:00 p.m.? What might be the
reason?
15. How many miles were
hiked from 7:00 a.m. to 8:00 a.m.?
http://www.louisianaschools.net/lde/uploads/2155.pdf
Lesson Plans:
Whole Group:
1.Review pg. 214-215 homework/class work;
2;TTW introduce line graphs with studyzone ppt: http://www.studyzone.org/testprep/math4/k/trendsl.cfm
3.TTW use promethean software to annotate over the desk top the info on this site: http://www.teach-nology.com/worksheets/math/graph/line/1/ or http://www.teach-nology.com/worksheets/math/graph/line/3/ to create a line graph. Remind students that line graphs show change over time.
4.TLW practice answering questions about line graphs using this site worksheet: http://www.superteacherworksheets.com/graphing/line-graph-2.pdf Display on projector.
5.TLW use data from a site to create a line graph. This info is on my math website under line graphs: http://www.vickimartinez.com/math_gc_unit3.html#Line I think we should have the kids practice making a line graph in addition to the bar graphs. Seems like they had to do that one year. I could be wrong since I didn’t look at the test. But one of them mentioned it afterward!
6. Guided Practice: Text pg. 216-217. Copy definitions into leap notebook or math notebook.
Small Group:
1. Independent Practice: Text pg. 218-219
2. Hundredth day centers/ Measurement centers/ fact centers
3.Work with teacher.
4.Computer: I4C site with MANY games for practice: http://www.internet4classrooms.com/skills_4th_math_new.htm#startofreplay
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Frequency
Tables
Planet
You'd like to Visit
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Whole Group:
Lessons and Demos
Games
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Fractions
as parts of a whole
Whole Group
http://www.lexington1.net/technology/instruct/ppts/mathppts/number%20operations/Fractions%20I.ppt#257,6,¾
looks like - PPT by Monicas Yusakis.
-Fraction
Demo with construction paper. 4 sheets of construction paper. 1 whole,
2 halves, 4 fourths, 8 eighths
Problem:
Ms. Koch, Ms. Abadie, and Ms. Flores want 1/8 of a piece of king
cake cake. Ms. Delaup wants 1/4 of a piece.
Will
there be any left for Ms. Martinez? Use the following
activity to decide.
- Game:
For this activity each student needs a sheet of 4 different colors of contstruction
paper. Fold the first in half and cut it into 2 pieces. Label each as half.
Fold the second into fourths and cut. Label each piece as 1/4. Fold the
third into eighths and cut. Label each as 1/8. Students try to cover the
"whole fraction sheet" with smaller pieces as a fraction die is thrown.
First one to cover the sheet wins.
- Compare
the fractions - Which is bigger? 1/4 or 1/2? 1/8 or 1/4?
What do you notice?
-Into
To Fractions Video
Project
Worksheets for whole group review:
One
half - circle the shape
What fraction does the colored part show? Circle the fraction
Draw lines to show the fraction
Fractions
as Parts of a Set
Text
pg. 502-503/Stations /Centers for differentiation/ small group
Fraction
Word Problems
Fraction
Pizzas: http://math.about.com/library/pizza.pdf
Activity: Grab a box of candy hearts or a handful of skittles. Glue
them to construction paper after sorting them by color. Tell what fraction
of the whole each color is.
Homework:
Finish
Whole Group:
1. Check homework pg. 504-507
3. Equivalent fractions flip chart: http://www.prometheanplanet.com/server.php?show=ConResource.325 or http://www.prometheanplanet.com/server.php?show=ConResource.11902
4. Text pg. 518 # 1-4 Guided Practice.
Fraction
STrip for projector: http://www.teachervision.fen.com/tv/printables/scottforesman/Math_3_TTT_12.pdf
Small Group:
Computer: bowling for fractions http://www.harcourtschool.com/activity/bowling_for_fractions/ or Fraction Frenzy: http://www.learningplanet.com/sam/ff/index.asp
Review:
Finding the fraction of a number
Whole
Group:
1.
Fractions 1 PPT: Parts
of a Fraction
2.
Fractions 2 PPT: Equivalent
Fractions:
4.Work
with teacher as needed for review.Short quiz on equal fractions.
text pg. 519 1/ 2 of 8 = _____ 1/3 of 12 = ___ 2/5 of 10 =_____ 3/4 of 12 =_____
Small Group:
Fraction Stations: http://www.utmsi.utexas.edu/outreach/family_night/family_night_files/station_08_fish_fractions.pdf';
fraction file folders;Fraction pizza;
Overhead Fraction parts on overhead projector.
Write fractions lesson than one and greater than one. Comparing Fractions worksheet: http://www.superteacherworksheets.com/fractions/comparingfractions.pdf
Time station: flash cards and manipulative clock.
Elapsed time practice worksheet: http://www.superteacherworksheets.com/elapsed-time/elapsed-time-practice.pdf;
Elapsed time story problems: pdfhttp://www.superteacherworksheets.com/elapsed-time/elapsed-time-story-problems2.pdf;
elapsed time charts: http://www.superteacherworksheets.com/elapsed-time/elapsed-time-nearest-min.pdf
http://www.superteacherworksheets.com/elapsed-time/elapsed-time-nearest-min.pdf
Clock face worksheethttp://www.superteacherworksheets.com/time/time-clock-faces.pdf
Time in quaters: http://www.superteacherworksheets.com/time/time-quarters.pdf
Day 7 Quiz..
Fractions
Lessons 3
(simplest form,
add, subtract and simplify, compare, fractions as decimals)
Text pg. 520-533;569-571;
624-625
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Day 2 Day 3 |
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Writing Fractions in simplest form 1. LEAP
review "Approaching Basic" sample
Worksheets: http://math.about.com/od/fractionsrounding1/ss/EquivFractions2.htm 3. New Vocabulary:
Finding Factors Teacher Tube VideoFinding Factors worksheetsPractice finding factors Flip chart:Greatest Common Factor Flip Chart:Greatest Common Factor Tool: http://www.mathsisfun.com/greatest-common-factor-tool.html interactive website for finding GCF.How to find the GCF: http://www.helpwithfractions.com/greatest-common-factor.html (list of steps)GCF worksheet: http://www.mathslice.com/simple_gcf_lcm.php4. Simplify Fractions power point5. Flip Chart: Simplifying Fractions http://www.prometheanplanet.com/server.php?show=ConResource.11242
6. Text pg. 520-521
Simplifying: http://www.math.com/school/subject1/practice/S1U4L2/S1U4L2Pract.html
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How do you do that? Divide by the greatest common factor (GCF). Factors of 3: (1 x 3) ___________________ Factors of 6: (1 x 6) (2 x 3) What is the greatest factor that both numbers have in common? 3 To
simplify: Divide by the GCF
Math Playground Fraction Videos: http://www.mathplayground.com/mathvideos.html For class webpage: Reducing Fractions Tutorial: http://www.kidsolr.com/math/fractions.html Word Problem Practice: http://www.mathplayground.com/wordproblems.html Fractions
at Enchanted Learning
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Compare Fractions by Cross Multiplying Review simplifying flip chart with activotes: http://www.prometheanplanet.com/server.php?show=ConResource.127731. LEAP review "Basic" samplehttp://www.doe.state.la.us/lde/uploads/1247.pdf2. Check homework. 3. Text pg. 522-527
compare fractions video : http://www.mathplayground.com/howto_comparefractions.html
Practice worksheet: http://math.about.com/library/fractionsd.pdf solutions: http://math.about.com/library/fractionsda.pdf Worksheet 2: http://math.about.com/library/fractionse.pdf worksheet 3: http://math.about.com/library/fractionsf.pdf |
5/6 and 2/7
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Adding Fractions; Mixed Numbers http://www.doe.state.la.us/lde/uploads/1247.pdf 2. Discuss mixed numbers and improper fractions
briefly.
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An
improper
fraction has a numberator greater than or
equal to its denominator.
To Change from an improper fraction to a mixed number -DIVIDE.To change from a mixed number to an improper fraction, multiply and add. Webmath - change from improper fractions to mixed numbers - practice |
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Fractions as decimals; common equivalent reference points for 1/2 ; 1/4; 3/4. 1. Students will complete
sample problems from page 1 "Constructed Response" of this LEAP
sample test - on projector.
Great Introduction Flip chart to fractions/decimals: http://www.prometheanplanet.com/server.php?show=ConResource.349 Fraction Decimal Equivalent Flip Chart: http://www.prometheanplanet.com/server.php?show=ConResource.337 Decimal PPT
Text pg. 624 - 625.
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0.3 = three tenths
= 3
0.24 = twenty four
hundredths = 24
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Data Analysis Lesson Number 3 Interactive Spinner for use with worksheet. 2. Review Vocabulary: certain,
impossible, likely, unlikely, equally likely, probability.3. Text pg. 700-7034.
P 12-5
A game is considered fair if each player has an equal chance of winning. Suppose we were playing a game that used a number cube. If I got a point every time an even number was rolled and you got a point every time an odd number was rolled, the game would be considered fair. |
An
event
is something that may happen. Sometimes, we are certain
that an event will occur.
Sometimes, we know it is impossible; and sometimes, we just aren’t sure. Certain
(The sun will rise.)
Instead of just saying something is likely to happen, we can use numbers from 0 to 1 to describe probability. Probability is always shown as a number from 0 to 1. If the probability of an event happening is 0, the event is impossible. Impossible Event: (Today is Sunday, so tomorrow will be Thursday.)Write 0 as a decimal? 0.0 or 0 % If the probability of an event is 1, then we know the event will happen. What is an event that has a probability of 1? (A triangle will always have3 sides.) How could you write this answer as a decimal? (1.0) Sometimes you will hear the weather announcer say that the probability of rain today is 100%. That prediction means that the announcer is certain that it will rain. The probability of an event that is certain to happen can bewritten as 1, 1.0, or 100%. |
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| What should I wear? | Study Zone Practice | Possible Outcomes Worksheet 1 | Possible Outcomes ws 2 | Possible outcomes ws 3 |
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| Worksheet 4 | Worksheet 5 : word problems | Worksheet 6 | worksheet 8 | Worksheet 9 |
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1. United Streaming:Go to possible outcomes segment 2.
LEAP Data Lesson 4:
3. Manipulative Activity: Pass out colored squares. Give each group 6 tiles. List all possible color combinations for tiles if there were 2 in a group-using tree diagram. 4. Text pg. 704-705 5. Worksheet pg. 12-6 Computer Station Worksheet:
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1. LEAP
measurement lesson 4: temperature, elapsed time - great review
2. Elapsed
Time Power PointElapsed Time Practice
1 minute = 60 seconds 1 hour = 60 minutes 1 day = 24 hours 1 week = 7 days 1 month = about 4 weeks 1 year = 52 weeks 1 year = 12 months 1 year = 365 days 1 leap year = 366 days 1 decade = 10 years 1 century = 100 years 1 millennium = 1000 years Center: Add 2 teaching clocks to center.One person write beginning time and show it on clock. Partner figures elapsed time. Flashcards for above vocabulary. Play a concentration game. |
  Digital clock - a clock that displays time using numbers. A.M. includes times from midnight until noon. P.M.
includes time from noon until midnight.
week, month, and year) Which
unit would you use to measure the following time periods?
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Day 4
Worksheet 1: Color the thermometer. Worksheet 23. Temperature: SF Text pg. 664-665 Calendar: SF Text pg200-2014. SF P-11-14 worksheet |
Customary – Fahrenheit degrees, Temperatures you should know: Water freezes at 32°F Water boils at 212°F Normal
body temperature 98 – 99°FWeather:
Do you know? The weather forecaster says
the temperature will be 30°F. Should
If I am going to bake a cake, should I set the oven to 35°F or 350°F? More Temperatures you should know: Celsius - Metric Measure Water freezes at 0°C Water boils at 100°C Would you like an ice cream
cone that had been stored at 30°C or at
Would you like your bowl of hot soup heated to 50°C or 20°C? |
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1(3D shapes, nets, and polygons)
1. Pacing
Activity 1-6 on class website. Review Vocabulary of plane figure, solid
figure, face, edge,vertice, cube, triangular prism, rectangular prism,rectangular
pyramid, square pyramid, sphere, cylinder,
Geometry Definitions Fish Game Ms. M's Polygons- Triangles ppt Ms. M's Lines, segments, and more ppt Ms. M's Slides, Flips,
Turns PPT
Day 2 (lines, segments, rays, angles)1. Review Day 1 work with LEAP Geometry Lesson 22. Pacing Activity 7 to introduce lines, etc. Copy definitions of vocabulary: right angle, acute angle, obtuse angle, straight angle, parallel lines, intersecting lines, perpendicular lines, vertex, point, line, line segment, ray , angle. (text pg. 440-441) 3. Text pg. 442-443
Day 3 (triangles and quadrilaterals) 1. Review Lines, etc. with
LEAP
Geometry Lesson 12, Review and copy definitions for vocabulary:
Day 4 ( circles ) 1. Vocabulary : circle, center, radius, chord, diameter. Text pg. 448-449 2. Diagnostic Check point: pg. 451 3. SF 8-5 WS Ms.
M's Quia Games for Vocabulary Practice #1
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plane figure - a figure with only 2 dimensions.
edge- a line segment where 2 faces meet face - a flat surface vertex - where 2 or more edges meet. polygon- a closed plane figure made up of line segments. Each line segment is a side.
triangle- 3 sides quadrilateral- 4 sides pentagon - 5 sides hexagon - 6 sides octagon - 8 sides point - an exact location in space line - a straight path of points that goes on and on in 2 directions. line segment is a part of a line. It has 2 endpoints. ray - a part of a line. It has one endpoint and continues on and on in only one direction. angle - formed by 2 rays that have the same endpoint. A right angle is a square corner (90 degrees). An Acute angle is less than a right angle. An Obtuse angle is greater than a right angle. A straight angle forms a straight line.
parallel lines - never intersect intersecting lines - passs through the same point perpendicular lines are lines that form right angles. circle - a closed plane figure made up of all the points the same distance from a point called the center. Chord - any line segment that connects two points on the circle. Diameter - any line segment that connects 2 points on the circle and passes through the center. radius - any line segment that connects the center to a point on the circle. Geometry Vocabulary: Good Review PPT http://jc-schools.net/PPT/ GeoVocabulary.ppt Ms. M's Quia Games to practice #1 Ms. M's Quia Games to practice #2 Quadrilaterals 1 PPT: Quadrilaterals 2 PPT Polygons PPT Polygon PPT Geometry Math0 Game Quia Shape Flash Cards |
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Gallon Man PPT Worksheet Gallon Man PPT 2 |
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