Standards - Mathematics

Solve addition and subtraction word problems, and add and subtract within 10, by using concrete objects or drawings to represent the problem.

Decompose numbers less than or equal to 10 into pairs of smaller numbers in more than one way, by using concrete objects or drawings, and record each decomposition by a drawing or equation.

For any number from 0 to 10, find the number that makes 10 when added to the given number, by using concrete objects or drawings, and record the answer with a drawing or equation.

Fluently add and subtract within 5.

Duplicate and extend simple patterns using concrete objects.

Add to with change unknown to solve word problems within 20.

Take from with change unknown to solve word problems within 20.

Put together/take apart with addend unknown to solve word problems within 20.

Compare quantities, with difference unknown, bigger unknown, and smaller unknown while solving word problems within 20.

Apply properties of operations as strategies to add and subtract.

Explain subtraction as an unknown-addend problem.

Relate counting to addition and subtraction.

Demonstrate fluency with addition and subtraction facts with sums or differences to 10 by counting on.

Demonstrate fluency with addition and subtraction facts with sums or differences to 10 by making ten.

Demonstrate fluency with addition and subtraction facts with sums or differences to 10 by decomposing a number leading to a ten.

Demonstrate fluency with addition and subtraction facts with sums or differences to 10 by using the relationship between addition and subtraction.

Demonstrate fluency with addition and subtraction facts with sums or differences to 10 by creating equivalent but easier or known sums.

Explain that the equal sign means the same as.“ Determine whether equations involving addition and subtraction are true or false.“

Solve for the unknown whole number in various positions in an addition or subtraction equation, relating three whole numbers that would make it true.

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

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.

Illustrate the product of two whole numbers as equal groups by identifying the number of groups and the number in each group and represent as a written expression.

Illustrate and interpret the quotient of two whole numbers as the number of objects in each group or the number of groups when the whole is partitioned into equal shares.

Solve word situations using multiplication and division within 100 involving equal groups, arrays, and measurement quantities; represent the situation using models, drawings, and equations with a symbol for the unknown number.

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

Develop and apply properties of operations as strategies to multiply and divide.

Use the relationship between multiplication and division to represent division as an equation with an unknown factor.

Use strategies based on properties and patterns of multiplication to demonstrate fluency with multiplication and division within 100.

Fluently determine all products obtained by multiplying two one-digit numbers.