Math Concepts
Important to the
students in first grade!
Number Sense:
-
Count forward/backward by 1's to
100
-
Use 2's, 5's, 10's to group
objects in sets under 100
-
Order 3 numerals between 1 and 100
smallest to largest
-
Determine sum or difference of 2
sets of objects, each less than 20
-
Use concrete materials to
demonstrate the relationship between addition/subtraction
-
Use estimation as a tool to
determine the reasonableness of addition/subtraction
-
Count/group ones and tens using
concrete materials, pictures, and numbers
-
Use models to represent
halves/fourths
Basic Math Facts (addition,
subtraction, quick recall)
Math Strategies for
+ & - (skip counting, doubles, doubles +1,
land mark #) Problem Solving
Strategies (Use logical reasoning, guess & check,
patterns)
Geometric Sense:
-
Name/draw square, rectangle,
triangle, circle, parallelogram
-
Classify shapes as 2 or 3
dimensional
-
Use informal geometric/spatial
vocabulary to describe similarity, difference, placement of physical objects
and geometric figures
Algebraic
Sense:
-
Create/compare patterns using
objects, symbols, sounds to explore/solve problems
-
Use objects to solve missing
addend problems
-
Use objects/numerals to explore
meaning of equality/inequality
Probability
& Statistics:
-
Predict whether one event is more
or less likely to occur than another
-
Design questions for gathering
data
-
Collect/organize/interpret data
using objects/bar graphs
Measurement:
-
Order objects using length,
height, weight
-
Use nonstandard units to measure
objects/distances
-
Use clocks/calendars
-
Identify face value of coins
Investigation
http://www.terc.edu/investigations/index/html/index.html
Philosophy
behind Investigations:
Spending time exploring problems in depth!
-
Finding more
than one solution to many problems
-
Developing
their own strategies and approaches, based on their knowledge and
understanding of mathematical relationships
-
Choosing from
a variety of concrete materials and appropriate technology, including
calculators, as a natural part of their everyday mathematical work
-
Expressing
their mathematical thinking through drawing, writing, and talking
Units
Taught
-
Building
Number Sense (The Number System)
-
Number identification
-
Number patterns
-
Numbers to 100
-
Addition and subtraction
problems
-
Survey Questions and Secret
Rules (Collecting and Sorting Data)
-
Collecting data
-
Graphing
-
Interpreting a graph
-
Interpreting data
-
Quilt Squares and
Block Towns (2-D and 3-D Geometry)
-
Identify shapes (2-D and 3-D)
-
Sort by shape
-
Number Games and Story
Problems (Addition and Subtraction)
-
Story problem- Including
picture, number sentence, and explanation of how they solved the problem.
-
Bigger, Taller, Heavier,
Smaller (Measuring)
-
Capacity
-
Using standard and non
standard measuring tools
*Assessments are
given at the end of each unit and before grading periods.
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