While researching ideas to help me differentiate instruction,
I came across a fabulous article by Rebecca Pierce and Cheryll Adams which
gives step by step instructions on creating a tiered lesson. As a teaching
candidate and a substitute teacher, I have some experience in differentiating my
lessons. However, that experience is limited. I am still not quite sure I am
doing it correctly, and it does take me a bit of time to create these lessons. I
decided to try out the step by step plan. Will it make differentiated lesson
planning easier for me? We will see.
Step 1:
Identify the grade level and subject:
4th grade math
Step
2: Identify standard:
California Common Core State Standards
Mathematics
4.G.2: Classify
two-dimensional figures based on the presence or absence of parallel or
perpendicular lines, or the presence or absence of angles of a specified size.
Recognize right triangles as a category, and identify right triangles.
(Two-dimensional shapes should include special triangles, e.g., equilateral,
isosceles, scalene, and special quadrilaterals, e.g., rhombus, square,
rectangle, parallelogram, trapezoid.) CA
Step
3: Identify the key concept and generalization:
Students will be able to identify
special types of triangles: right, equilateral, isosceles, and scalene. Students
will explain the differences between the types of triangles.
Step
4: Do the students have the necessary background?
The students have been working
on 4th grade geometry. The class has learned lines, line segments,
and rays, parallel and perpendicular lines, and right, acute, and scalene
angles. Most of the class has mastered all the subjects. However, six students have
not demonstrated mastery on the subject of angles. This group will need some reteaching
before they will be able to master triangles.
Step 5:
Which part of the lesson will be tiered? Content, Process, or Product?
Pierce and Adams state that a
teacher can tier all parts of the lesson. But, they recommend that, as a
teacher is learning to tier, he or she should take it one step at a time. I
will tier the content portion of the lesson.
Step
6: What type of tiers? Readiness, interest, or learning profile?
I will be
tiering based on readiness.
Step
7: How many tiers do you need? Develop the lesson.
I will create
three tiers:
Green group: This is the group that will need a little
more attention from the teacher. There are six students who did not quite
master the types of angles. They need some reteaching. In addition, there are
two EL students who do very well in math but, because there is more writing in
English in Geometry, they are having more difficulty than usual, and two
students who usually need a little more guidance in math than other students.
Blue group: This group of twelve
students are on track for 4th grade.
Yellow group: This set of ten students began our geometry
unit understanding many of the concepts. This is the advanced group and will
need some enrichment. This group includes one boy with mild autism. He has no
learning issues but does have social challenges.
Materials:
Teacher: Triangle poster, triangle
handout, task cards, a lot of triangles cut out in various colors.
Students: Math notebook, pencil,
glue stick, colored pens, mini whiteboards
Warm up:
Teacher: “In our last lessons,
we have been learning about lines, rays, and angles. Talk to your elbow partner
about what you remember about lines, rays, and angles.” Give students two
minutes to talk with their partner.
Teacher: “Time’s up. Let’s
come back together and talk what we know or in this case I think we may want to
draw it on the board.” Call up volunteers to draw a line, line segment, ray,
parallel lines, perpendicular lines, right angle, acute angle, and obtuse
angle.
By reviewing the previous
lesson, the students get their minds ready for the next step in learning.
Activate that prior knowledge.
Introduce triangles:
Teacher: “Take a look at that
right angle. It’s a nice looking right angle. What would happen if I put a line
segment here from one ray to another (on the board, teacher closes up the angle
with a line segment to create a right triangle)? What do you see?” Most of the
class will recognize a triangle. “Yes, a triangle has 3 sides and 3 angles. You
have learned that before. But, this is a special triangle. Because it has that
right angle, it is a right triangle. Do you see it? There are several other special
triangles: equilateral, isosceles, and scalene. You are going to learn about
each type in your groups today.
"In a minute, but not yet, you will get into
your groups. Blue will be over there, yellow- there, and green over here. You
will need your math notebooks, pencil, and a glue stick. Each group box has
your task cards, a few handouts to explain the triangles, and a lot of colored
triangles for you to use on your activity. Go to your groups and get started.”
Activity:
Task cards:
Green:
1. Take a
handout and look at the types of triangles
2. Find a
colored triangle to match each type of triangle
3. Glue the
colored triangles into your notebook, noting the type of triangle and its
characteristics based on the handout
4. Create
a picture using 4 right triangles, 4 equilateral triangles, 4 isosceles
triangles, and 4 scalene triangles.
5. Mark
each triangle with the type of triangle it is.
Blue:
1. Work
together to identify the types of triangles.
2. Find a
colored triangle for each type of triangle
3. Glue the
colored triangles into your notebook, noting the type of triangle and its
characteristics based on the handout
4. Create
a picture using the different types of triangles.
5. Note how
many of each type of triangle was used.
Yellow:
1. Work
together to identify the types of triangles.
2. Find a
colored triangle for each type of triangle
3. Glue the
colored triangles into your notebook, noting the type of triangle and its
characteristics based on the handout
4. Create
a picture using the different types of triangles.
5. Identify
other shapes created with the triangles.
Handout:
The green group has 1 handout
per person. The other groups have 3 handouts to share. The green group has an
additional handout which shows the names of the triangles written in the first
language of the EL students.
Poster:
Group work:
Once the students break into
groups, the teacher begins with the green group and gives a mini lesson on angles
and triangles. By reviewing the angles using the cut-out triangles, the teacher
can help the students in making the connections. The teacher can ask each
student to find a triangle with a right angle. Students in the group can help
each other find one. They might want to make a box on the right angle to
visualize the right angle. The teacher can then ask them to find a triangle
with an acute angle. “The angle is small
and cute, so it is an acute
angle.” Next, have them find a triangle with an obtuse angle. Use the hang
loose symbol on your hands to remind them to hang loose
with obtuse angles.
After a review of the angles,
the teacher can introduce an equilateral triangle.
All sides and angles are equal. Have the
students each find an equilateral triangle and glue it into their notebook. Next,
introduce an isosceles triangle with 2 equal sides and 2 equal angles. The students
should find an isosceles triangle a glue it into their notebook. Finally, introduce
a scalene triangle with no equal sides or angles. Have the students find a
scalene triangle to glue into their notebooks. When they each have their
triangles glued in, ask them to mark which triangle is which and note use the
handout or the poster to note characteristics of each type of triangle. Use
colored pens to help identify the characteristics if necessary. Have them complete
their task card with their group, each working in his or her own notebook. Be
sure to check in with the EL students to make sure they understood the definitions.
Ask if they need a translation. The visuals should help the EL students
understand the characteristics of each triangle, but the teacher should check
in to be sure.
The teacher should them go to
the other groups and answer questions and make clarifications. Check to see if each
student understands the difference in the types of triangles. Check on notes in
their notebook. How are they doing on the pictures? Are they able to identify
the triangles? Are students in the yellow group identifying other shapes?
Step 8: Assessment:
Have the students return to
their seats and take out their white boards. Ask everyone to draw a right
triangle. They show their boards. The teacher can go through the other 3
triangles and throw in a few other things learned during the unit such as parallel
lines. The teacher can mark down who did not draw the right item for reteaching
the next day.
Using this Pierce and Adams plan, I was able to tier the lesson’s
content for the different levels in the classroom. It did help me to clarify my
thoughts as I was creating the plan. I think I will use this again in the
future.
For more information on this article, check out “Tiered
Lessons: One Way to Differentiate Mathematics Instruction” by Rebecca Pierce
and Cheryll Adams. Published in Gifted
Child Today (vol 27, Issue 2, pp 50-65).