Transcript Middle School Alternate Assessment

Middle School
Alternate
Assessment
Math
Spring 2012
Sixth Grade
KAAP (M-6.4)
Identify when two
expressions are
equivalent.
1. Identify was equivalent means.
2. Many of the misconceptions when
dealing with expressions stem from
the misunderstanding/reading of
the expression. For example,
knowing the operations that are
being referenced with notation like,
x3, 4x, 3(x + 2y) is critical. 4x means
4 times x or x+x+x+x, not fortysomething.
3. When evaluating 4x when x = 7,
substitution does not result in the
expression meaning 47.
Expression Match
6th Grade
KAAP (M-6.5)
Find the area of polygons by
composing into rectangles or
decomposing into other shapes in the
context of solving real-world problems
It is very important for students to
continue to physically manipulate
materials and make connections to the
symbolic and more abstract aspects of
geometry.
KAAP (M-6.6)
Display numerical data in plots on a
number line and histograms.
Now students learn to organize data in
appropriate representations.
6th Grade Geometry
1. Use a Geoboard and
start with a square that
is one unit on each side.
2. Have students use
rubber bands to create
squares that are 2, 3, 4,
and even 5 units on
each side.
3. Then, find the area of
each square.
4. Do the same with
triangles and other
quadrilaterals.
th
Example—6 Grade
Dot Plot
X
X
X
X
X
X
X
14
15
16
X
X
X
17
X
X
X
18
19
20
Ages of the students in our class
Ages of the students
in our class
Example—6th Grade
14
15
16
17
18
19
20
How old are most students in
your class?
How do you know?
7th Grade
KAAP (M-7.4)
Solve real-world and
mathematical problems
involving the four
operations with rational
numbers.
1. Students need to be
able to determine which
operation to use.
2. A rational number is
any number that can be
written as a fraction,
including integers and
whole numbers.
7th Grade
KAAP (M-7.5)
Solve problems
involving scale
drawings of
geometric figures,
including computing
actual lengths and
areas, (triangles and
quadrilaterals) from a
scale drawing.
1. Use various
models to
demonstrate scale.
Matchbox cars are
excellent examples.
1. Use the inchworms manipulative. They come
in 1 inch, 2 inch, 3 inch, and 4 inch lengths.
2. Have a picture of anything. (You can place it
on 1 inch grid paper if needed.) Use the
inchworms to measure in inches.
3. Use a scale of 1 inch = 2 feet (or other
appropriate scale).
4. Find the actual lengths of the object in the
picture.
• 1 cm = 2 feet
Divide into rectangles to determine
area.
A= 21 cm2
B= 5cm2 C= 18cm2
Area= 45 cm2
Total
7th Grade
KAAP (M-7.6)
Solve real-world or
mathematical
problems involving
volume and surface
area of three
dimensional objects
composed of cubes
and right prisms.
1. Define volume
and surface area.
2. Use multiple
representations of
cubes and right
prisms.
Activities
th
7 Grade
• Define volume. “Volume measures space. It is the amount of
cubic units that takes up a space.”
• Demonstrate by pouring water into a container.
• Point out household items that are measured in volume (milk
carton, bottle of cola, box of sugar cubes, sandbox, etc.)
• Have students look through magazines and cut out pictures of
items and discuss how to talk about each item’s volume.
• Stress “cubed”. Note: Volume is NOT weight.
Volume
5cm3
Activities
• Fill a box with cubes (wooden, plastic, or sugar cubes).
• Count the number of cubes it takes to fill up this rectangular
prism with cubes.
• Discuss the volume as “cubed”.
• Students fill up different boxes with cubes and compare the
volumes.
APPS:
--Geometry: Volume of Solids
Activities
• Relate to Base 10 Set.
• Show a 1000s cube. Have students stack
hundreds squares on top of each other to
make the cube. How many does it take?
How many unit cubes does it take to fill up
the larger cube?
APPS:
--Base Ten Number Blocks ($0.99)
Activities
• Use rectangular baking pans and wet or
dry ingredients.
• Determine how many cups (of water,
sugar, flour, etc.) it takes to fill up that pan.
• A cup is another unit of volume.
Face
• Part of a shape that is
flat.(Or curved)
• For example, A cube
has 6 of these.
Surface Area: the measure of all
the sides
1. How many pairs of identical faces
does cube have?
2. Calculate the area of each face.
3. Add up the areas to determine total
surface area.
1. A cube has 6 identical faces. Each face is a
square.
2. Each face of the cube has sides which are 9
inches long.
3. The area of one face is 9 in x 9in = 81
square inches
4. There are 6 faces: 81 x 6 = 486 square
inches.
IXL Surface Area, IXL.com
Activities
• Surface area is the area of all of the sides added together.
• Take a box and break it apart to show all 6 sides. (This is called
a “net”.)
• Measure or label the length of each side.
• Find the area of each individual rectangle then add them up to
find total surface area.
• Stress “Covers” and “Square units”. How much do we need to
cover the whole box?
• You could have students wrap a box to find out how much
wrapping paper covers the box.
Activities
Activities
•
•
•
•
Draw the net of a cube on grid paper.
Students count the blocks to find the area of each part.
Add up all the parts to get the total surface area.
Do this on cardstock and cut out then fold and tape to make
the cube.
Activities
Activity 7
Using the Accucut
KAAP (M-8.4)
Demonstrate understanding of
similarity between two-dimensional
figures.
KAAP (M-8.5)
Demonstrate an understanding that a
function is a rule that assigns to each
input exactly one output.
KAAP (M-8.6)
Given a volume formula, solve realworld problems involving cones,
cylinders and spheres.
8th Grade
KAAP (M-8.4)
Demonstrate
understanding of
similarity between
two-dimensional
figures.
1. Define
similarity. (shapes
that have equal
corresponding
angles and whose
corresponding
sides are in
proportion to one
another.
These triangles are similar.
These ovals are similar.
Real-life Similar Shapes
Sunshine Skyway Bridge
Tampa, Florida
Real-life Similar Shapes
Which shape does not belong?
Cross out the shape that isn’t
similar.
Which shape does not belong?
Cross out the shape that isn’t
similar.
8th Grade
KAAP (M-8.5)
Demonstrate an
understanding that a
function is a rule that
assigns to each input
exactly one output.
1. Make a function
machine.
2. Use manipulatives to
show input/output.
Complete the Function Table.
spider
spiders
24
48
72
dog
Complete the Function Table.
Answer
dog
2
4
6
Rule: ___________
Teacher
provides input
values and a
rule, while
student
determines
output values.
Rule: ____________
Spin a Rule
Spin a Rule
Complete the Function Table.
At Larry’s Lemonade Stand, 1 cup of lemonade costs $ 0.50.
Complete the function table to show the cost of lemonade.
Number of Cups
Cost
1
$
2
$
3
$
4
$
Can you determine the rule?
______________
8th grade
KAAP (M-8.6)
Given a volume
formula, solve realworld problems
involving cones,
cylinders and
spheres.
Troy was getting ready to eat a push-up pop ice cream. The ice
cream is 13 centimeters tall and has a radius of 6 centimeters.
How many cubic centimeters of ice cream will Troy get to eat?
William bought a can of Pringles that was 12 centimeters
tall and had a radius of 4 centimeters. How many cubic
centimeters of Pringles are inside the can?
Volume Formula for a Sphere
Emily owns a world globe with a radius of 5 inches. If the globe is
hollow, how many cubic inches of air are inside the globe?
Lauren received a rubber ball for her birthday. If the ball had a
radius of 10 centimeters, how many cubic centimeters were in
the ball?
Volume Formula for a Cone
Find the volume, in square centimeters, of the ice cream
cone if the cone is 40 cm tall and has a radius of 4 cm.
Shea wants to fill the hat she wore for her birthday party with
candy. If the hat is 9 inches tall and has a radius of 3 inches,
calculate the volume in square inches.
To Get Resources
1.
2.
3.
www.bigeastcoop.org
Click on complex needs
Click on Alternate Assessment Spring 2012
[email protected]