
Mathematical Thinking Continuum
Mathematical Thinking
(Introduction, 3rd)
 Counts and groups quantities to make 100.
 Becomes familiar with number patterns on the 100 chart.
 Explores materials, including the calculator, to be used
throughout the curriculum as tools for solving problems.
 Uses grouping to count.
 Constructs symmetrical patterns.
 Learns the addition combinations from 1+1 to 10+10.
 Develops and uses strategies to combine and compare quantities.
 Explore what happens when you add or subtract 10 or 20.
 Explore what numbers can be divided evenly.
 Reviews the values of coins and finds the values of collections
of coins.
 Sorts and classifies information.
 Collects, records, and represents data.
 Explores the characteristics of odd and even numbers and
how they behave when combined.
 Works with wholes and halves.
 Develops awareness of the decimal point and its meaning.
Mathematical Thinking
(Introduction, 4th)
 Groups things for more efficient counting.
 Records numbers for more efficient mental arithmetic.
 Finds how many more are needed.
 Estimates how many hundreds in the total of a group of threedigit
numbers.
 Recognizes values of U.S. coins and groups coins for more
efficient counting.
 Recognizes the decimal point on the calculator.
 Uses known answers to find other answers.
 Subtracts on a 300 chart and with a calculator.
 Adds and subtracts multiples of ten.
 Distinguishes between geometric patterns and random designs.
 Distinguishes between mirror symmetry and rotational symmetry.
 Collects, represents, and interprets data.
 Estimates totals and differences.
