| Lessons |
Lesson
Summary
|
|
Pre
4.0 School Lunch
PDF
|
Students
collect their own school lunch data, research the nutrients
and their own "recommended dietary allowances",
create pie graphs, analyze the data and the graphs, and draw
conclusions about their own school lunch diets. |
| Pre
4.1a Growing Generations of Similar Figures PDF
|
Students
build larger and larger similar figures using pattern blocks.
They keep track of the area growth and generalize the patterns.
|
| Pre
4.1b Stretching Sam the Man PDF
|
Students
stretch Sam the Man proportionately and disproportionately
using rubber bands(optional) and graph paper and analyze the
stretched figures. |
| Pre
4.1c Expand-a-Picture |
Students
use grids to enlarge pictures of their choice. |
Pre
4.2How Tall is the Flagpole
PDF
|
Students
experience proportional relationships using similar figures.
They apply three methods using similar triangles to find the
height of a flagpole. |
| Pre
4.3 Ratio and Proportion in Kids PDF |
Students
measure and then figure out proportions using height/head
circumference, thumb/wrist, etc. They change the ratios to
decimals, organize the data into tables and plots to find
patterns and make predictions. |
| Pre
4.3b Gulliver's Travels |
Without
knowing the title, students read a paragraph from Gulliver's
Travels, derive the story from context clues and identify
the mathematics involved. They investigate to find out if
the seamstress' mathematics strategies work. Finally,
they select an item, find its proportions in Lilliput and
Brobdingnag and draw or construct the item using those proportions. |
| Pre
4.3c If You Hopped Like a Frog PDF |
After
hearing or reading the book If You Hopped Like a Frog
by David Schwartz, students create posters to represent the
proportions involved in the example they have chosen. |
Pre
4.4a Scale Drawings
|
Students
use shrinking proportions in order to create a scale drawing.
|
| Pre
4.4b One Foot Tale |
Students
create stories about being 1 foot tall. Included in the stories
are the dimensions of different objects shrunk proportionately. |
| Pre
4.4c Toys R Math |
Students
measure the length, width, and height of toys. They predict
the real-life dimensions of the objects the toys represent
and draw conclusions as to the proportionality of the toys
related to real-life objects. |
Pre
4.5 Reading Rates
|
Students
create their own reading rates and write word problems in
which rates are used. |
| Pre
4.5a Story Contexts: Fractions, Rates, Unit Rates |
Students
create story contexts for using a fraction as a 1) fraction,
2) rate, 3) unit rate |
| Pre
4.5b Time Trials (rates of speed)
PDF |
Students
compare the rates o f speed of two toy vehicles. |
| Pre
4.5c Investigating Unit Rates |
Students
solve problems by comparing rates and using proportions. |
| Pre
4.7a Proportions and Percentage |
Students
relate
proportion and percentage, set-up and solve three different
kinds of percentage problems using proportion, and write
three different percentage word problems.
|
Pre
4.7b Percent Assessments
|
Several
problems involving percentages. |
| Pre
4.7c Using Proportions Assessment PDF |
Students solve problems using many different contexts in which
ratio and proportion applies. |
Pre
4.8 How Big Was the Roman Empire, Assessment
PDF
|
Students
use proportions to examine the distance to the outposts of
the Roman Empire, the percentage of the Roman Empire covering
Europe, Asia, and Africa, and the question of what happened
to the Roman Empire considering the number of soldiers as
related to the area. |
Pre
4.9 The Golden Ratio
PDF
|
Students
examine the golden ratio using rectangles and a pentagram
and then themselves. |
