# Standards: Math

(1)
Represent and solve problems involving addition and subtraction.
Education Level: 1
Description:

Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem.

(0)
Represent and solve problems involving addition and subtraction.
Education Level: 1
Description:

Solve word problems that call for addition of three whole numbers whose sum is less than or equal to 20, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem.

(1)
Understand and apply properties of operations and the relationship between addition and subtraction.
Education Level: 1
Description:

Apply properties of operations as strategies to add and subtract. Examples: If 8 + 3 = 11 is known, then 3 + 8 = 11 is also known. (Commutative property of addition.) To add 2 + 6 + 4, the second two numbers can be added to make a ten, so 2 + 6 + 4 = 2 + 10 = 12. (Associative property of addition.) (Students need not use formal terms for these properties.)

(1)
Understand and apply properties of operations and the relationship between addition and subtraction.
Education Level: 1
Description:

Understand subtraction as an unknown-addend problem. For example, subtract 10 – 8 by finding the number that makes 10 when added to 8.

(1)
Education Level: 1
Description:

Relate counting to addition and subtraction (e.g., by counting on 2 to add 2).

(1)
Education Level: 1
Description:

Add and subtract within 20, demonstrating fluency for addition and subtraction within 10. Use strategies such as counting on; making ten (e.g., 8 + 6 = 8 + 2 + 4 = 10 + 4 = 14); decomposing a number leading to a ten (e.g., 13 – 4 = 13 – 3 – 1 = 10 – 1 = 9); using the relationship between addition and subtraction (e.g., knowing that 8 + 4 = 12, one knows 12 – 8 = 4); and creating equivalent but easier or known sums (e.g., adding 6 + 7 by creating the known equivalent 6 + 6 + 1 = 12 + 1 = 13).

(1)
Work with addition and subtraction equations.
Education Level: 1
Description:

Understand the meaning of the equal sign, and determine if equations involving addition and subtraction are true or false. For example, which of the following equations are true and which are false? 6 = 6, 7 = 8 – 1, 5 + 2 = 2 + 5, 4 + 1 = 5 + 2.

(0)
Work with addition and subtraction equations.
Education Level: 1
Description:

Determine the unknown whole number in an addition or subtraction equation relating three whole numbers. For example, determine the unknown number that makes the equation true in each of the equations 8 + ? = 11, 5 = ＿ – 3, 6 + 6 = ＿.

(1)
Reason with shapes and their attributes.
Education Level: 2
Description:

Recognize and draw shapes having specified attributes, such as a given number of angles or a given number of equal faces. Identify triangles, quadrilaterals, pentagons, hexagons, and cubes. (Sizes are compared directly or visually, not compared by measuring.)

(0)
Reason with shapes and their attributes.
Education Level: 2
Description:

Partition a rectangle into rows and columns of same-size squares and count to find the total number of them.

(1)
Reason with shapes and their attributes.
Education Level: 2
Description:

Partition circles and rectangles into two, three, or four equal shares, describe the shares using the words halves, thirds, half of, a third of, etc., and describe the whole as two halves, three thirds, four fourths. Recognize that equal shares of identical wholes need not have the same shape.

(0)
Measure and estimate lengths in standard units.
Education Level: 2
Description:

Measure the length of an object by selecting and using appropriate tools such as rulers, yardsticks, meter sticks, and measuring tapes.

(1)
Represent and interpret data.
Education Level: 2
Description:

Draw a picture graph and a bar graph (with single-unit scale) to represent a data set with up to four categories. Solve simple put-together, take-apart, and compare problems using information presented in a bar graph.

(0)
Measure and estimate lengths in standard units.
Education Level: 2
Description:

Measure the length of an object twice, using length units of different lengths for the two measurements; describe how the two measurements relate to the size of the unit chosen.

(0)
Measure and estimate lengths in standard units.
Education Level: 2
Description:

Estimate lengths using units of inches, feet, centimeters, and meters.