Standards - Mathematics

Determine how many“ in each category using up to three categories of data.“

Determine “how many more” or “how many less” are in one category than in another using data organized into two or three categories.

Order three objects by length; compare the lengths of two objects indirectly by using a third object.

Determine the length of an object using non-standard units with no gaps or overlaps, expressing the length of the object with a whole number.

Tell and write time to the hours and half hours using analog and digital clocks.

Identify pennies and dimes by name and value.

Build and draw shapes which have defining attributes.

Distinguish between defining attributes and non-defining attributes.

Compose two-dimensional shapes (rectangles, squares, trapezoids, triangles, half-circles, and quarter-circles) or three-dimensional shapes (cubes, right rectangular prisms, right circular cones, and right circular cylinders) to create a composite shape, and compose new shapes from the composite shape.

Partition circles and rectangles into two and four equal shares and describe the shares using the words halves, fourths, and quarters, and use the phrases half of, fourth of, and quarter of.

Describe the whole“ as two of or four of the shares of circles and rectangles partitioned into two or four equal shares.“

Explain that decomposing into more equal shares creates smaller shares of circles and rectangles.

Use addition and subtraction within 100 to solve one- and two-step word problems by using drawings and equations with a symbol for the unknown number to represent the problem.

Fluently add and subtract within 20 using mental strategies such as counting on, making ten, decomposing a number leading to ten, using the relationship between addition and subtraction, and creating equivalent but easier or known sums.

State automatically all sums of two one-digit numbers.

Use concrete objects to determine whether a group of up to 20 objects is even or odd.

Write an equation to express an even number as a sum of two equal addends.

Using concrete and pictorial representations and repeated addition, determine the total number of objects in a rectangular array with up to 5 rows and up to 5 columns.

Write an equation to express the total number of objects in a rectangular array with up to 5 rows and up to 5 columns as a sum of equal addends.

Reproduce, extend, create, and describe patterns and sequences using a variety of materials.

Explain that the three digits of a three-digit number represent amounts of hundreds, tens, and ones.

Explain the following three-digit numbers as special cases: 100 can be thought of as a bundle of ten tens, called a hundred and the numbers 100, 200, 300, 400, 500, 600, 700, 800, 900 refer to one, two, three, four, five, six, seven, eight, or nine hundreds (and 0 tens and 0 ones).

Count within 1000 by ones, fives, tens, and hundreds.

Read and write numbers to 1000 using base-ten numerals, number names, and expanded form.

Compare two three-digit numbers based on the value of the hundreds, tens, and ones digits, recording the results of comparisons with the symbols >, =, and < and orally with the words “is greater than,” “is equal to,” and “is less than.”

Fluently add and subtract within 100, using strategies based on place value, properties of operations, and/or the relationship between addition and subtraction.

Use a variety of strategies to add up to four two-digit numbers.

Add and subtract within 1000 using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method.

Explain that in adding or subtracting three-digit numbers, one adds or subtracts hundreds and hundreds, tens and tens, ones and ones; and sometimes it is necessary to compose or decompose tens or hundreds.

Mentally add and subtract 10 or 100 to a given number between 100 and 900.

Explain why addition and subtraction strategies work, using place value and the properties of operations.

Measure lengths of several objects to the nearest whole unit.

Create a line plot where the horizontal scale is marked off in whole-number units to show the lengths of several measured objects.

Create a picture graph and bar graph to represent data with up to four categories.

Using information presented in a bar graph, solve simple put-together take-apart and compare“ problems.“