First grade students will be introduced to mathematical concepts that are directly connected to the PA Department of Education State Standards.
The standards describe what students should know and be able to do as they progress through school!
LET’S GET HOPPIN!
*Demonstrate the relationship between numbers and quantities, including place value, one-to-one correspondence, rote counting, counting by twos to 20, counting by tens and fives and comparing values of whole numbers up to 100.
*Represent equivalent forms of the same number through the use of pictures and concrete objects (including penny, nickel, dime, and quarter), up to 100.
*Use concrete objects, drawings, diagrams or models to show the concept of a fraction as part of a whole; use whole numbers and fractions (halves and fourths) to represent quantities.
*Apply place value concepts and base-ten numeration to order and compare whole numbers up to 100.
Computation and Estimation
*Apply concepts of addition and subtraction to solve problems up to ten.
*Demonstrate strategies for addition and subtraction in order to solve single- and
double-digit addition and subtraction problems.
*Estimate values, sums, and differences of quantities and conclude the
reasonableness of those estimates.
Measurement and Estimation
*Use concrete objects to measure length by repeating and the number of
nonstandard or standard units.
*Tell time on an analog and digital clock to the nearest hour and half hour.
*Compare concrete objects to determine greater or lesser attributes (length,
Mathematical Reasoning and Connections
*Draw conclusions and describe thought process(es) (e.g., think aloud) related to
problem solving situations.
*Use concrete objects to explain precise terms of logic (e.g., all, or, every, none,
some, or many).
Mathematical Problem Solving and Communication
*Solve the problem and check if answer makes sense. Explain how problem is
solved in grade appropriate contexts.
*Use appropriate mathematical vocabulary when explaining how to solve a
Statistics and Data Analysis
*Gather data from surveys and observations within the classroom or homes.
*Organize and display data using pictures, tallies, charts, bar graphs and
*Describe data displayed in a diagram, graph or table.
*Answer comparative questions based on representations of data.
*Draw conclusions and identify patterns based on a comparison to data
displayed in a graph.
Probability and Predictions
*Determine the probability of an event occurring.
*Predict and explain the outcomes of events. List or graph the possible results of
*Answer questions about predictions and actual outcomes based on data.
Algebra and Functions
*Use the concept of equality and concrete objects to demonstrate understanding
of the commutative and associative properties.
*Use concrete objects and trial and error to solve number sentences.
*Recognize, describe, extend, replicate and transfer number and geometric
*Use a rule to find a missing addend or symbol to make a number sentence true,
with adult assistance.
*Use concrete objects, symbols and numbers to represent mathematical
*Describe and answer questions about data from classroom graphs and charts.
*Name, describe and draw/build 2-dimensional shapes.
*Identify and draw lines of symmetry.
Concepts of Calculus