Represent a fraction 1/b on a number line by defining the interval from 0 to 1 as the whole and partitioning it into b equal parts. Recognize that each part has size 1/b and that the endpoint of the part starting at 0 locates the number 1/b on the number line.
Read and write four digit numbers using base-ten numerals, number names, and expanded form.
Use multiplication and division within 100 to solve word problems in situations involving equal groups, arrays, and measurement quantities.
Add, subtrat, multiply, or divide to solve one-step word problems involving masses or liquid volumes that are given in the same units.
Understand two fractions as equivalent (equal) if they are the same size, or the same point on a number line.
Identify and extend arithmetic patterns (including patterns in the addition table or multiplication table).
Find the area of a rectangle with whole-number side lengths by tiling it, and show that the area is the same as would be found by multiplying the side lengths.
Apply properties of operations as strategies to multiply and divide.
Compare two fractions with the same numerator or the same denominator by reasoning about their size. Recognize that comparisons rely on the two fractions referring to the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions.
Interpret products of whole numbers.
Use place value understanding to round whole numbers to the nearest 10 or 100.
Express whole numbers as fractions, and recognize fractions that are equivalent to whole numbers.
Measure areas by counting unit squares.
Understand division as an unknown-factor problem.
Multiply side lengths to find areas of rectangles with whole-number side lengths in the context of solving real world and mathematical problems, and represent whole-number products as rectangular areas in mathematical reasoning.
Represent a fraction a/b on a number line by marking of a lengths 1/b from 0. Recognize that the resulting interval has size a/b and that its endpoint locates the number a/b oin the number line.
Interpret whole-number quotients of whole numbers.
Partition shapes into parts with equal areas. Express the area of each part as a unit fraction of the whole.
Understand that the digits of a four-digit number represent amounts of thousands, hundreds, tens, and ones.
Use tiling to show in a concrete case that the area of a rectangle with whole-number side length a and side length b + c is the sum of a Ă— b and a Ă— c. Use area models to represent the distributive property in mathematical reasoning.
Recognize a plane figure which can be covered without gaps or overlaps by n unit squares is said to have an area of n square units.
Recognize and generate equivalent fractions. Explain why the fractions are equivalent.
Recognize area as additive. Find areas of figures composed of non-overlapping rectangles, and apply this technique to solve real world problems.
Determine the unknown whole number in a multiplication or division equation relating three whole numbers.
Multiply one-digit whole numbers by multiples of 10 in the range 10-90 using strategies based on place value and properties of operations.
Understand a fraction, 1/b, as the quantity formed by 1 part when a whole is partitioned into b equal parts; understand a fraction a/b as the quantity formed by a parts of size 1/b.
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