101 Probability
and Statistics: Take a Chance!-Exploring Probability. An unfair
carnival game and quiz show about the odds of getting heads or tails
when flipping a coin illustrate basic concepts of probability. In a
series of classroom activities, your students explore ways to make the
games fair and use probability calculations to determine which option
is most fair.
102 Probability
and Statistics: The Data Game-Using Graphs: several sketches show
how charts and graphs help represent data for easy analysis. In activities
your students compare various kinds of graphs and consider what kinds
of graphs best communicate different types of data.
103 Probability
and Statistics: The Perils of Polling-Conducting Surveys: Learn
why the accuracy of a poll depends on having a valid survey group. Students
take their own polls and consider the impacts of a sample size and bias.
104 Probability
and Statistics: Whom Do You Ask? Understanding Surveys: Avoid faulty
analysis by knowing how a survey group relates to the larger population.
Your students will practice converting percentages to circle graphs
and drawing conclusions from statistics.
105 Probability
and Statistics: Don't Jump to conclusions-Interpreting Statistics:
Analyze carefully to see what statistics really mean. They can be misleading.
Activities include interpreting and extending data on human growth,
and charting and graphing sports records.
106 Number Sense:
Evening Things Out-Understanding Averages: Averages don't tell you everything.
Learn how to find an average and explore a variety of approaches to
what averages really mean. Engage in extended, multi-step reasoning
as they use partial game statistics and averaging concepts to figure
out what the scores of each game could be.
107 Number Sense:
Factor 'em-Exploring Factors and Multiples: How many packages of buns
do you need for those franks you're grilling? It's easy to figure out
when you relate numbers through multiplication. A game helps your students
become more familiar with the idea of multiples and common multiples
of numbers in a context in which strategy is important.
108 Number Sense:
Soaring Sequences-Thinking about Large Numbers: Start at a dollar a
day and double a waitress' salary each day. She is a billionaire in
a month! Large numbers are all around us. Still, there is no largest
number. Use various types of graphs as tools for predicting the growth
of a sequence.
109 Number Sense:
Let me count the ways-counting with combinatories: discover powerful
and intriguing ways to count collections of things systematically. Use
combinatories, your students identify all of the pizza possibilities
at the half-and hour pizza parlor.
110 Number Sense:
Both sides of zero-playing with positive and negative numbers: a clumsy
athlete, several animations and a computer game powerfully illustrate
arithmetic with positive and negative numbers. Work with pyramid puzzles
to become more familiar with the addition of positive and negative integers
in a context that requires careful reasoning.
111 Measurement:
measured step-measuring length: can you help a bumbling innkeeper measure
the length of a carpet for a flight of steps? Explore patter-predicting
as a mathematically sound shortcut to measurement.
112 Scoping out
the area-measuring area: how do you measure the area of an odd-shaped
lawn? Activities let your students practice finding the area of an odd
shape by breaking it up into simpler figures.
113 All shapes
and Sizes-measuring perimeter and area: Your students deepen their
understanding of geometry as they explore how changes in the lengths
and widths of rectangles affect their areas and shapes.
114 Sizing things
up-scale and ratio: maps and models are small objects that can represent
large object, when you understand how to use a scale. Mapping your classroom
will help your student build connections between reality and symbolic
representation.
115 Close enough-estimating:
all measurement is approximate. You need different levels of accuracy
depending on the situation, so choose the right tool. Your students
explore estimating in "arms on" activities.
116 Geometry:
flip and fold-seeing symmetry: symmetry is a fundamental attribute of
shapes. Even a shape suffering the dreaded "asymmetriosis" can be made
symmetrical. Students explore and test their own ideas about symmetry
by designing shapes and rearranging them on a grid.
117 Two Sides
Are Longer Than One - Making Triangles-Explore practical uses of
the basic concept that any two sides of a triangle together must be
longer than the third. Your students will enhance their problem-solving
ability in calculating the best delivery routes.
118 Getting into
Shapes-playing with polygons: various characters discover that polygons
are part of other shapes everywhere. Activities challenge your students
to visualize how two-dim shape can be created from a three-dim one.
119 Shape by
the number-building rectangles: try building a square box for 101
candies or a rectangular window with 17 panes, you will discover there
is a relationship between arithmetic and geometry. Explore the idea
of expressing numbers as the sums of square numbers.
120 What shape
is your number-finding number patters in squares and triangles:
having a good sense of the shapes of numbers and how they fit together
helps in counting and arranging. Using patterns, explore how to shake
the most hands in the least amount of time.
121 Math Talk for
Teachers-An Introduction
122 Math Talk
for families-Measuring and Geometry