6th, 7th

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6th, 7th 8th Grade
Benchmark
Related Skills
Presented by
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Part ILessons Activities Divisibility Rules
AIMS Marvelous Multiplication Dazzling
DivisionClearing the Table Percent of Increase
Decrease ETA VersatilesPercents, Proportions
Ratios Walch Publisher Real Life MathHow
Much is School Worth? - Bigger, Stronger, and
Faster - CDs Ratios Domino Ratios and ETA
VersatilesPercents, Proportions Ratios Writing
Algebraic Equations ETA VersatilesSequences
Equations - Algebra Functions Geometric
Properties I have Who Has Shapes - Property
List of Quadrilaterals Score the Shapes Bell
Ringer Similar Figures AIMS Proportional
ReasoningRectangular Ratios gtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgt
gtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgt
gtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgt
gtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgt
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the
Clearing Table
Write the rule. Numbers divisible by 2 must end
in an even number.
Find the Multiples of 2 -or- Numbers Divisible
by 2
Find the patterns and rules for other numbers,
including 4, 6, and 9.
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Number Operations
NO.2.6.1
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Percents, Proportions, and Ratios
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Number Operations
NO.3.7.6
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Domino Ratios
Car 5
Doll 4
Game 2
Football 6
Jump Ropes 3
Puzzle Free
Top 1
Find the domino that shows the ratio of the price
of the car to the price of the doll. If needed,
find another domino to show it in simplest form.
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Name ___________________________________
DOMINO RATIOS
Jump Rope 3
Football 6
Car 5
Game 2
Doll 4
Puzzle Free
Top 1
Find the domino and draw it correctly that shows
the ratios as stated below. If needed, find
another domino to show it in simplest form.

• 6. The price of the top compared to the price of
  the puzzle.
• 7. The price of the game and the doll together
  compared to the
• price of the jump rope.
• 8. The price of the top compared to the
  difference in the prices
• of the jump rope and game.
• 9. The difference in the prices of the football
  and the game compared to the sum of the price of
  two tops.

• The price of the car compared to the price of the
  doll.
• 2. The price of the game compared to the price of
  the football.
• 3. The price of the puzzle compared to the price
  of the jump
• rope.
• 4. The price of the doll compared to the price of
  the football.

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Percents, Proportions, and Ratios
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Number Operations
NO.3.6.6
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Sequences Equations Algebra Functions
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Algebra
A.4.8.3
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I Have, Who Has Shapes Activity
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Name ________________________________________
Property List for Quadrilaterals On the shape
worksheets list as many properties you can think
of. Each property listed must be true for all
the shapes on the sheet. Use the words at
least to describe how many of something. Ex
Rectangles have at least 2 lines of symmetry.
Could they have more? Think about it! Use
sticky note pads to check for right angles,
compare side length, and to draw straight lines.
Use mirrors to check for symmetry.
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Name ________________________________________
Score the Shapes Bell Ringer

SCORE EACH FIGURE Every triangle is worth 3
points. Every parallelogram is worth 4 points.
Triangles ______ Parallelogram ______
Triangles ______ Parallelogram ______
Triangles ______ Parallelogram ______
Be ready to explain your reasoning.
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Geometry
G.8.8.1
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Part IILessons Activities Transformations
Triangles Transformations Measurement and
Conversions The Queens Gold Area Perimeter
Mayan Pyramids EQUALS Get it
TogetherPolygons Measurement (distance) AIMS
Fabulous FractionsSlide Ruler Fractions Area
Perimeter of Irregular Shapes Learning
Resources Dot Paper GeometryGeoboards Probabilit
y Whats the Probability? gtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgt
gtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgtgt
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Geometry/Measurement Rectangle Ratios
Rectangular Ratios From AIMS Proportional
Reasoning How can you prove that two rectangles
are similar? We will look at families of
similar shapes, finding the common
characteristicsincluding nesting, graphing, and
equivalent ratios.
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Geometry/Measurement Rectangle Ratios
Similar Figures Where do children see similar
figures? How do adults use similar figures?
To find similar rectangles sort them into to
look-a-like shapes.different in size, but the
same shape. Test by lining them up with one
vertex of each rectangle on top of the other. Do
the opposite vertices form a straight line?
Similar or not?
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Geometry/Measurement Rectangle Ratios
Find Similar Figures Cut out the rectangles on
the RECTANGLE RATIO sheets
Group those that look-a-like. Arrange them on the
grid paperSILIMAR OR NOT? Draw the line showing
similarity. Repeat for all sets of look-a-likes.
Draw a different colored line showing
similarity for each set.
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Geometry/Measurement Rectangle Ratios
Find Similar Figures Complete the RECTANGULAR
RATIOS record sheet.
Make ratios comparing width to length. Are those
from look-a-like sets equivalent? Look at the
lines you drew on the graphs. Compare the
points, width over length, where the lines
crossed through the vertices. Are these the same
as you found on the record sheet? Whats the
common name for the ratio of these lines?
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Geometry
G.8.8.3
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Triangles and Transformations
ACTIVITY Use only transformations of a triangle
to make the star. Can you use.. Reflections? Rota
tions? Translations?
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Name ________________________________
Triangles and Transformations
ACTIVITY Measure, draw, and cut out ONE
triangle with angles of 36o, 18o and 126o. Use
this triangle as a pattern and cut out the number
of triangles needed for the entire star. 1. What
are the lengths of each of the sides of your
triangle? ________ ________
_______ 2. Find someones triangle whose sides
are different than yours. Compare the
measurements. If the triangles all have the same
angles but different side lengths what
relationship do they have? Discuss your
findings. ________________________________________
__________________________________________________
_______________
__________________________
__________________________________________________
_____________________________ 3. Using as many
transformations of the triangle as possible, make
the star. Describe the transformations you used.
Could you use the following transformations?
Explain. Be specific as to what line or point it
is being reflected over, or the point and degree
of rotation, as well as the direction of
translation. Reflection _________________________
__________________________________________________
____________________ ____________________________
__________________________________________________
__________________________________________________
___________________________ Rotation
__________________________________________________
_______________________________________________ _
__________________________________________________
__________________________________________________
_____ Translation ______________________________
__________________________________________________
_______________ _________________________________
__________________________________________________
______________________
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Geometry
G.9.7.1
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The Queen had set aside gold to pay her
children's allowance. She had a bag that weighed
12 oz and another that weighed 11 oz. She had a
third bag that weighed 13 oz . How many pounds of
gold will she be giving to her children?
Step 2 What information is need but not stated
in the problem? A. Weight of each bag of
gold. B. How many ounces are in a pound. C. The
amount of money the Queen has. D. Number of
children the Queen has.
Step 1 What does the problem ask you to
find? A. The number of ounces of gold
altogether. B. The bag that weighed the most. C.
The amount the second bag weighed. D. The number
of pounds of gold altogether.

• Step 3 Select the correct expression(s).
• (12 11 13)16
• B. 12/16 11/16 13/16
• C. 16/(12 11 13)
• D. (12 11 13)
• 16

Step 4 Select the correct solution. Use the
scales to verify your answer. A. 36 lb B. 36
oz C. 2.25 lb D. 2 ¼ oz
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Measurement
M.12.8.2
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Activity Centers
Mayan Pyramids Polygons
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Mayan Pyramids
The temple-pyramids were one of the Mayans most
impressive achievements. The massive stone
structures were built in the heart of Mayan
cities.
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Mayan Pyramids
The pyramids were built in layers of walls on top
of one another. Each wall was smaller than the
one below it. The top of the pyramid was a temple
for the priests to go and communicate to the
Gods. The outside was covered with a thick layer
of mud (stucco). When the mud dried is was
painted in bright colors.
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Mayan Pyramids Build it!
Pyramid 1
Use the blocks to make a pyramid that is 3 walls
high and has a temple on top. The bottom wall
should have 5 blocks on each side. What is the
perimeter of each wall? Bottom _____ Middle
_______ Top ______ What is the area of the
base of the pyramid? _____ The temple on the top
is made of 4 blocks, what is its perimeter?
______ area? _____
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Pyramid 2
Mayan Pyramids
Use the blocks to make a pyramid with a base wall
that is 6 units by 6 units and is two units
tall. What is the perimeter and are of the base?
Perimeter _______ Area
_______ There are 4 walls and all are the same
height. Each one has a width and length of one
unit less than the one below it. The height of
the temple is double the height of a wall and is
2 units wide on each side. Make a table that
shows the Perimeter and Area (as if it had a
floor) inside of each wall and the temple.
Level Perimeter Area
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Pyramid 3
Mayan Pyramids
Use the blocks to make a pyramid that is 3 walls
high and has a temple on top. The bottom wall has
a perimeter of 48 cm. Each of the next walls are
8 cm less than the one below it. The temple on
top is 6 cm by 6 cm by 6 cm. Use a table of other
method and determine the decrease in the area (as
if there was a floor) and perimeter for each
level. Show and explain your work
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Pyramid 4
Mayan Pyramids
A pyramid is 3 walls high. Each wall is 1 block
tall and 1 block thick. The base wall has 4
blocks on each side, the next has 3, and the next
has 2 on each side. Build a pyramid that is
similar, but double in size. The temple on the
original pyramid is only 1 block. Make sure the
new temple is also similar, but double in
size. Describe what had to be done to make the
double pyramid. __________________________________
__________________________________________________
__________________________________________________
______________________
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Measurement
M.12.7.3
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FRAC TIONS
Ruler
Slide
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Measurement
M.13.7.2
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Measurement
M.13.8.5
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What's the Probability?
Experimental Probability
Theoretical Probability
Use prior knowledge to make a prediction.
Conduct an experiment to find the probability.
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What's the Probability?
If you throw a 10-sided polyhedral dice 100
times, what are the Theoretical and Experimental
probabilities of rolling a 7? Think about
itstate your Theoretical probability.
_________ Do the experimentorganize your
datafind your Experimental probability.
__________ Is everyones answer the same? _____
Would averaging all the results give us a better
answer? _____ Try it, state your outcome and
explain your reasoning. __________________________
__________________________________________________
________________________________
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Measurement
D.17.8.2