Math Learning Standards

Number Sense and Operations in Base Ten:

Use place value understanding and properties of operations to perform multi-digit arithmetic

• Round whole numbers to the nearest 10 and 100.

• Read, write, and identify whole numbers within one thousand using base ten numerals, number names, and expanded form.

• Demonstrate fluency within addition and subtraction within 1,000.

• Multiply whole numbers by multiples of 10 in the range 10-90.

Number Sense and Operations in Fractions:

Develop understanding of fractions as numbers

• Understand a unit fraction as the quantity formed by one part when a whole is partitioned into equal parts.

• Understand that when a whole is partitioned equally, a fraction can be used to represent a portion of the whole.

• Describe the numerator as representing the number of pieces being considered.

• Describe the denominator as the number of pieces that make the whole.

• Represent fractions on a number line.

• Understand the whole is the interval from 0 to 1.

• Understand the whole is partitioned into equal parts.

• Understand a fraction represents the endpoint of the length of a given number of partitions from 0.

• Demonstrate that two fractions are equivalent if they are the same size, or the same point on a number line.

• Recognize and generate equivalent fractions using visual models, and justify why the fractions are equivalent.

• Compare two fractions with the same numerator or denominator using the symbols <,>, or = and justify.

• Explain why fractions comparisons are on valid when the two fractions refer to the same whole.

Relationships and Algebraic Thinking:

Represent and solve problems involving multiplication and division

• Interpret products of whole numbers.

• Interpret quotients of while numbers.

• Describe in words or drawings a problem that illustrates a multiplication or division situation.

• Use multiplication or division within 100 to solve problems.

• Determine the unknown number in a multiplication or division equation relating three whole numbers.

• Apply properties of operations as strategies to multiply or divide.

• Multiply and divide with numbers and results within 100 using strategies such as relationship between multiplication and decision or properties of operations.

• Know all products of two one-digit numbers.

• Demonstrate fluency with products within 100.

Use the four operations to solve word problems

• Write and solve two-step problems involving variables using any of the four operations.

• Interpret the reasonableness of answers using mental computation and estimation strategies including rounding.

Identify and explain arithmetic patterns

• Identify arithmetic patterns and explain the patterns using properties of operation.

Geometry and Measurement:

Reason with shapes and their attributes

• Understand that shapes in different categories may share attributes and that the shared attributes can define a larger category.

• Distinguish rhombuses and rectangles as examples of quadrilaterals, and draw examples of quadrilaterals that do not belong to these subcategories.

• Partition shapes into parts with equal areas, and express the area of each part as a unit fraction of the whole.

Solve problems involving measurement of time, liquid volumes, and weight of an object

• Tell and write time to the nearest minute.

• Estimate time intervals in minutes.

• Solve problems using addition and subtraction of minutes.

• Measure or estimate length, liquid volume, and weight of an object.

• Use the four operations to solve problems involving lengths, liquid volumes, or weight of an object,

Understand concepts of area

• Calculate area by using unit squares to cover a plane figure with no gaps or overlays.

• Label area measurements with square units.

• Demonstrate that tiling a rectangle to find the area and multiplying the side lengths result in the same value.

• Multiply whole number side lengths to solve problems involving the area of rectangles.

• Find rectangular arrangements that can be formed for a given area.

• Decompose a rectangle into smaller rectangles to find the area of the original rectangle.

Understand concepts of perimeter

• Solve problems using perimeter of polygons.

• Understand that rectangles can have equal perimeters but different areas, or rectangles can have equal areas but different perimeters.

Data and Statistics:

Represent and analyze data

• Create frequency tables, scaled picture graphs, and bar graphs to represent a data set with several categories.

• Solve one and two step problems using information presented in bar and/or picture graphs.

• Create a line plot to represent data.

• Use data shown in a line plot to answer questions.