MSAD #55
Mathematics
Benchmarks/Performance
Indicators
Math
Skills
Grade
1
06-10-05
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 quantities up to 40 and
demonstrate one to one correspondence.
2.
Understand
the many uses of number (e.g., prices, recipes, measurements, directions in
play).
q
a. can find several uses for numbers.
3. Order,
compare, read, group, and apply place value concepts to numbers up to 1,000.
q
a. read, order, and sequence numbers up to
100.
q
b. compare two numbers according to
greater than, less than, and equal to (up to 100)
q
c. read and write two digit numbers.
q
d. count by 10s to 100, by 2s to 50, by 5s
to 100.
4. Determine
reasonableness of results when working with quantities
q
a. participate in estimating activities.
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. estimate using standard and nonstandard
units i.e. volume, temp. weight, length, quantity, computation, or problem
solving.
2. Use
multiple strategies in solving problems involving addition and subtraction of
whole numbers.
q
a. build numbers in different ways using
unifix cubes.
q
b. record or share strategies.
q
c. explore calculators as a mathematical
tool.
3. Show
understanding of addition and subtraction by using a variety of materials,
strategies, and symbols.
q
a. record number combinations and
solutions with pictures, numbers.
q
b. read and write numbers to 100.
q
c. add and subtract single digit numbers
horizontally and vertically.
q
d. know the terms addition, subtraction,
and equal to.
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 and interpret data from a graph
or chart.
2. Make
tallies and graphs of information gathered from immediate surroundings.
q
a. categorize data individually or as a
group.
q
b. represent data (tally, picture graph,
bar graph).
D. Students will understand and apply concepts of probability. Students will be able to:
1.
Use
concepts of chance and record outcomes of simple events.
q
a. predict the probability of an event (rolling dice, flipping coins, etc. )
E. Students will understand and apply concepts from geometry. Students will be able to:
1. Describe,
model, and classify 2D shapes and selected 3D figures.
q
a. identify 2 D shapes: rectangles, square,
circle, triangle.
q
b. recognize 3D shapes: cylinder, cube,
cone.
2. Investigate
and predict the results of combining, dividing, and changing 2D shapes
q
a. construct and deconstruct shapes.
3. Use
positional words to describe the relationship of two or more objects (e.g.,
over, under, beside, to the left, etc.)
q
a. compare orientation of items.
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. measure length with non-standard units.
q
b. compare the weights of objects using a
balance.
q
c. tell time to the hour.
2. Identify
and give the value of different coins.
q
a. identify and know the value of a penny,
nickel, and dime.
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. select proper measurement tool.
G. Students will understand that mathematics is the science of patterns, relationships, and functions. Students will be able to:
1. Recognize,
describe, extend, copy, and create a wide variety of patterns.
q
a. identify, construct, and extend a
variety of patterns.
2. Explore
the use of variables and open sentences to describe relationships.
q
a. solve missing addends (7 + _ = 10)
3. Represent
and describe both geometric and numeric relationships.
q
a. identify relationship between geometric
shapes (2 trapezoids =1 hexagon )
q
b. complete a number sentence using =.
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.
q
a. use drawings to represent word
problems.
q
b. use manipulatives to represent word
problems.
q
c. solve the missing addend.
2. Use
language and symbols to express numerical and other relationships.
q
a. use pictures, numbers, and words to
demonstrate a mathematical statement.
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 and classify with 2 attributes
(ex. venn diagrams).
2. Create
and use an organized list to determine possible outcomes or solve problems.
J. Students will understand and apply concepts of mathematical reasoning. Students will be able to:
1. Describe
a simple argumentÕs strengths and weaknesses.
q
a. explain how to solve a mathematical
problem.
2. Distinguish
between ÒimportantÓ and ÒunimportantÓ mathematical information.
q
a. identify mathematical information
needed to solve a problem.
K. Students will reflect upon and clarify their understanding of mathematical ideas and relationships. Students will be able to:
1. Use
numerals and symbols (>,<,=,+,-) to report numerical data and
relationship.
q
a. write an accurate number sentence using
+, -, =.