MSAD #55
Mathematics
Benchmarks/Performance
Indicators
Grade
2
4-05
A. Students will understand and demonstrate a sense of what numbers mean and how they are used. Students will be able to:
1. Demonstrate
an understanding of what numbers mean (e.g., that the number 7 stands for a
group of objects.)
q
a. count 15 to 60 objects. (Counting bags)
q
b. count by 2s, 5s, 10s, 25s to 100 and by
100s to a thousand
2.
Understand
the many uses of number (e.g., prices, recipes, measurements, directions in
play).
q
a. initial understanding of mathematical
concepts in real life, in the world and around us. (mystery photos)
3. Order,
compare, read, group, and apply place value concepts to numbers up to 1,000.
q
a. read, compare, and sequence numbers up
to 1,000.
q
b. construct numerals up to 1000 with
manipulatives.
4. Determine
reasonableness of results when working with quantities
q
a. explain the "reasonableness"
of answers (1-50).
B. Students will understand and demonstrate computation skills. Students will be able to:
1. Use
and apply estimation with quantities, measurements, computations, and problem
solving.
q
a. record estimates of quantities,
measurements, and computations.
q
b. compare actual data with individual estimates.
q
c. estimate the number of standard and
nonstandard units to fill a container. ) (teacher made worksheet using tiles, unifix
blocks, etc.)
2. Use
multiple strategies in solving problems involving addition and subtraction of
whole numbers.
q
a.
uses strategies to solve problem
(such as counting on, counting back, doubles, doubles plus 1, fact families,
combinations of 10s, turn arounds, number line, hundreds chart, using charts,
graphs, manipulatives, drawing pictures, act it out, make a table, nines strategy, etc.)
3. Show
understanding of addition and subtraction by using a variety of materials,
strategies, and symbols.
q
a. talk and write about problem solving
strategies for example; showing
your strategy, solution, number sentence, and explanation..( what you
did and why you did it)
q
b. uses manipulatives
q
c. add and subtract two digit numbers,
without regrouping.
q
d. add a list of up to five single
digit numbers in horizontal and vertical formats (number strings).
C. Students will understand and apply concepts of data analysis. Students will be able to:
1.
Formulate
and solve problems by collecting, arranging, and interpreting data.
q
a. collect data, organize and construct
graphs.
q
b. demonstrate an initial understanding of
data from various types of graphs - bar, pie, line, picture, scatter.
2. Make
tallies and graphs of information gathered from immediate surroundings.
q
a. make tallies of information gathered
from immediate surroundings.
q
b. categorize data using various
attributes.
D. Students will understand and apply concepts of probability. Students will be able to:
1.
Use
concepts of chance in observing and recording outcomes of simple events.
q
a. predict the probability of events and
explain reasoning.
E. Students will understand and apply concepts from geometry.
1. Describe,
model, and classify 2D shapes and selected 3D figures.
q
a. compose 2D and 3D shapes (Predict and
Cover, Build a Block, Build a Building)
q
b. make 2D symmetrical designs.(Quilt
Block)
2.
Investigate and predict the results of combining, dividing, and
changing 2D shapes.
q
a. experiment with and explain the
relationship between pattern blocks (6 triangles = 1 hexagon)
3. Use
positional words to describe the relationship of two or more objects (e.g.,
over, under, beside, to the left, etc.)
q
a. write directions for movement of an
object from point A to point B on
a grid or map.
F. Students will understand and demonstrate measurement skills. Students will be able to:
1. Estimate
and measure length, time, temperature, weight, and capacity.
q
a. draw and measure lines to the inch.
q
b. tell time to the hour and 1/2 hour.
q
c. using a large scale thermometer (kid
friendly) read temperature.
2. Demonstrate
an understanding of the values of different coins.
q
a. identify and know the value of a
quarter, dollar bill.
q
b. show coin amounts up to $.50 in at
least 3 different ways. (Level
2)
3. Select
standard and non-standard tools for determining length, time, temperature,
weight, and capacity, and use them to solve every day problems.
q
a. measure and compare using non-standard units.
G. Students will understand that mathematics is the science of pattern, relationships, and functions, Students will be able to:
1. Recognize,
describe, extend, and create a wide variety of patterns.
q
a. read, make and sequence number patterns
to 100. (2s, 5s, 10s, 25s)
q
b. make and describe repeating patterns.
2. Explore
the use of variables and open sentences to describe relationships.
q
a. determine the missing quantity in a
number sentence.
3. Represent
and describe both geometric and numeric relationships.
q
a. construct geometric shapes using
alternative shapes ( 6 triangles = 1 hexagon.)
q
b group geometric shapes according to
common characteristic/attributes.
H. Students will understand and apply algebraic concepts. Students will be able to:
1. Make
drawings for problem situations and mathematical expressions in which there is
an unknown, using a variety of tools and approaches.
2. Use
language and symbols to express numerical and other relationships.
q
a. use appropriate grade 2 vocabulary to
describe numerical relationships. (for example: greater than, less than, least,
odd, even, greatest, twice, half, double)
I. Students will understand and apply concepts in discrete mathematics. Students will be able to:
1.
Classify
sets of objects into two or more groups using their attributes.
q
a. sort, describe and classify shapes according to their attributes.
(Shape Sort)
2. Create
and use an organized list to determine possible outcomes or solve problems.
q
a. explore different ways of organizing
numerical data. For example: Ways to Make Ten (turn arounds, count up 0 + 10 =,
1 + 9 =, 2 + 8= etc. and count
down )
J. The student will understand and apply concepts of mathematical reasoning. The student will be able to:
1. Describe
a simple argumentŐs strengths and weaknesses.
q
a.
talk and write about problem solving strategies.
2. Distinguish
between important and unimportant mathematical information in simple arguments.
q
a. find and use relevant information to
solve a word problem.
K. Students will reflect upon and clarify their understanding of mathematical ideas and relationships.
1. Use
numerals and symbols to report numerical data and relationships.
q
a. write + and- equations that represent
numerical data and relationships.