Key Concept: Quantities that are joined are added and quantities that are separated are subtracted.

Topic Overview | Standards Alignment | #### Common Core

K.OA.A.1 Represent addition and subtraction with objects, fingers, mental images, drawings, sounds (e.g.claps), acting out situations, verbal explanations, expressions, or equations.

K.OA.A.2 Solve addition and subtraction word problems, and add and subtract within 10, e.g.by using objects or drawings to represent the problem.#### Georgia

MGSEK.OA.1 Represent addition and subtraction with objects, fingers, mental images, drawings, sounds (e.g.claps), acting out situations, verbal explanations, expressions, or equations.

MGSEK.OA.2 Solve addition and subtraction word problems, and add and subtract within 10, e.g. by using objects or drawings to represent the problem. IEP Goals

In this topic, students begin to build strategies for solving word problems. The students solve join and separate problems using an act it out strategy and begin to develop their representational thinking through using abstract objects to solve the problem.

K.OA.A.2 Solve addition and subtraction word problems, and add and subtract within 10, e.g.by using objects or drawings to represent the problem.

MGSEK.OA.2 Solve addition and subtraction word problems, and add and subtract within 10, e.g. by using objects or drawings to represent the problem.

1. Given 5 objects, the student will solve join word problems for 5 out of 6 examples by the completion of the IEP.

2. Given 5 objects, the student will solve separate word problems for 5 out of 6 examples by the completion of the IEP.

2. Given 5 objects, the student will solve separate word problems for 5 out of 6 examples by the completion of the IEP.

O.1-1-1 Act Out Join Word Problems to 5 |

View Teacher-Facilitated Lesson Students use a concrete model to physically solve join word problems. (35-45 min)

O.1-1-2 Join Word Problems to 5 |

View Teacher-Facilitated Lesson Students use manipulatives to represent addition word problems to 5. (35-45 min)

O.1-1-3 Act Out Separate Word Problems to 5 |

View Teacher-Facilitated Lesson Students use a concrete model to physically solve separate word problems. (35-45 min)

O.1-1-4 Separate Word Problems to 5 |

View Teacher-Facilitated Lesson Students use manipulatives to represent subtraction word problems to 5. (35-45 min)

Key Concept: Addition and subtraction can be used to solve join and separate problems.

Topic Overview | Standards Alignment | #### Common Core

K.OA.A.1 Represent addition and subtraction with objects, fingers, mental images, drawings, sounds (e.g.claps), acting out situations, verbal explanations, expressions, or equations.

K.OA.A.2 Solve addition and subtraction word problems, and add and subtract within 10, e.g.by using objects or drawings to represent the problem.#### Georgia

MGSEK.OA.1 Represent addition and subtraction with objects, fingers, mental images, drawings, sounds (e.g.claps), acting out situations, verbal explanations, expressions, or equations.

MGSEK.OA.2 Solve addition and subtraction word problems, and add and subtract within 10, e.g. by using objects or drawings to represent the problem. IEP Goals

In this topic, students solve join and separate problems and develop their understanding of addition and subtraction problems.

K.OA.A.2 Solve addition and subtraction word problems, and add and subtract within 10, e.g.by using objects or drawings to represent the problem.

MGSEK.OA.2 Solve addition and subtraction word problems, and add and subtract within 10, e.g. by using objects or drawings to represent the problem.

1. Given 10 objects, the student will solve join and separate word problems for 5 out of 6 examples by the completion of the IEP.

O.1-2-1 Decide Whether to Add or Subtract |

Lesson Plan

View Teacher-Facilitated Lesson Students build their understanding of addition and subtraction by analyzing word problems and determining which operation is required in order to solve. (35-45 min)

O.1-2-2 Solve Join and Separate Word Problems to 5 |

Lesson Plan

View Teacher-Facilitated Lesson Students apply their understanding of addition and subtraction in order to solve join and separate word problems to 5. (35-45 min)

Key Concept: Quantities can be composed and decomposed in different ways.

Topic Overview | Standards Alignment | #### Common Core

K.OA.A.1 Represent addition and subtraction with objects, fingers, mental images, drawings, sounds (e.g.claps), acting out situations, verbal explanations, expressions, or equations.

K.OA.A.2 Solve addition and subtraction word problems, and add and subtract within 10, e.g.by using objects or drawings to represent the problem.

K.OA.A.3 Decompose numbers less than or equal to 10 into pairs in more than one way, e.g.by using objects or drawings, and record each decomposition by a drawing or equation (e.g.5 = 2 + 3 and 5 = 4 + 1).

K.OA.A.4 For any number from 1 to 9, find the number that makes 10 when added to the given number, e.g.by using objects or drawings, and record the answer with a drawing or equation.

K.OA.A.5 Fluently add and subtract within 5.#### Georgia

MGSEK.OA.1 Represent addition and subtraction with objects, fingers, mental images, drawings, sounds (e.g.claps), acting out situations, verbal explanations, expressions, or equations.

MGSEK.OA.2 Solve addition and subtraction word problems, and add and subtract within 10, e.g.by using objects or drawings to represent the problem.

MGSEK.OA.3 Decompose numbers less than or equal to 10 into pairs in more than one way, e.g.by using objects or drawings, and record each decomposition by a drawing or equation. (drawings need not include an equation).

MGSEK.OA.4 For any number from 1 to 9, find the number that makes 10 when added to the given number, e.g.by using objects or drawings, and record the answer with a drawing or equation.

MGSEK.OA.5 Fluently add and subtract within 5. IEP Goals

In this topic, students solve put together and take apart problems. They use number bonds to represent the problem and compose and decompose quantities within 10.

K.OA.A.2 Solve addition and subtraction word problems, and add and subtract within 10, e.g.by using objects or drawings to represent the problem.

K.OA.A.3 Decompose numbers less than or equal to 10 into pairs in more than one way, e.g.by using objects or drawings, and record each decomposition by a drawing or equation (e.g.5 = 2 + 3 and 5 = 4 + 1).

K.OA.A.4 For any number from 1 to 9, find the number that makes 10 when added to the given number, e.g.by using objects or drawings, and record the answer with a drawing or equation.

K.OA.A.5 Fluently add and subtract within 5.

MGSEK.OA.2 Solve addition and subtraction word problems, and add and subtract within 10, e.g.by using objects or drawings to represent the problem.

MGSEK.OA.3 Decompose numbers less than or equal to 10 into pairs in more than one way, e.g.by using objects or drawings, and record each decomposition by a drawing or equation. (drawings need not include an equation).

MGSEK.OA.4 For any number from 1 to 9, find the number that makes 10 when added to the given number, e.g.by using objects or drawings, and record the answer with a drawing or equation.

MGSEK.OA.5 Fluently add and subtract within 5.

1. Given 10 objects, the student will compose numbers for 5 out of 6 examples by the completion of the IEP.

2. Given 10 objects, the student will decompose numbers for 5 out of 6 examples by the completion of the IEP.

2. Given 10 objects, the student will decompose numbers for 5 out of 6 examples by the completion of the IEP.

O.1-3-1 Compose Numbers to 5 |

Lesson Plan

View Guided Lesson Students build their understanding of composition of quantities within 5 through solving put together word problems. (12-20 min)

O.1-3-2 Decompose Numbers Within 5 |

Lesson Plan

View Guided Lesson Students build their understanding of decomposition of quantities within 5 through solving take apart word problems. (12-20 min)

O.1-3-3 Compose and Decompose Within 5 |

Lesson Plan

View Guided Lesson Students extend their understanding of composition and decomposition within 5 and begin to understand the relationship between these operations. (12-20 min)

O.1-3-5 Decompose Numbers Multiple Ways Within 5 |

Lesson Plan

View Teacher-Facilitated Lesson Students build flexibility in their understanding of quantity through decomposing numbers within 5 in multiple ways. (35-45 min)

Key Concept: The quantities of 5 and 10 can be used as benchmarks to strategically add and subtract.

Topic Overview | Standards Alignment | #### Common Core

K.OA.A.1 Represent addition and subtraction with objects, fingers, mental images, drawings, sounds (e.g.claps), acting out situations, verbal explanations, expressions, or equations.

K.OA.A.2 Solve addition and subtraction word problems, and add and subtract within 10, e.g.by using objects or drawings to represent the problem.

K.OA.A.4 For any number from 1 to 9, find the number that makes 10 when added to the given number, e.g.by using objects or drawings, and record the answer with a drawing or equation.

K.OA.A.5 Fluently add and subtract within 5.#### Georgia

MGSEK.OA.1 Represent addition and subtraction with objects, fingers, mental images, drawings, sounds (e.g.claps), acting out situations, verbal explanations, expressions, or equations.

MGSEK.OA.2 Solve addition and subtraction word problems, and add and subtract within 10, e.g.by using objects or drawings to represent the problem.

MGSEK.OA.4 For any number from 1 to 9, find the number that makes 10 when added to the given number, e.g.by using objects or drawings, and record the answer with a drawing or equation.

MGSEK.OA.5 Fluently add and subtract within 5. IEP Goals

In this topic, students develop their fluency with addition and subtraction within 5 and learn to write an equation for an addition or subtraction model.

K.OA.A.2 Solve addition and subtraction word problems, and add and subtract within 10, e.g.by using objects or drawings to represent the problem.

K.OA.A.4 For any number from 1 to 9, find the number that makes 10 when added to the given number, e.g.by using objects or drawings, and record the answer with a drawing or equation.

K.OA.A.5 Fluently add and subtract within 5.

MGSEK.OA.2 Solve addition and subtraction word problems, and add and subtract within 10, e.g.by using objects or drawings to represent the problem.

MGSEK.OA.4 For any number from 1 to 9, find the number that makes 10 when added to the given number, e.g.by using objects or drawings, and record the answer with a drawing or equation.

MGSEK.OA.5 Fluently add and subtract within 5.

1. Given a 5 frame and counters, the student will model quantities within 5 for 5 out of 6 examples by the completion of the IEP.

2. Given a 10 frame and counters, the student will model quantities within 10 for 5 out of 6 examples by the completion of the IEP.

3. Given a 10 frame model filled with two-color counters less than or equal to 10, the student will write an addition equation for 5 out of 6 examples by the completion of the IEP.

4. Given a 10 frame model filled with two-color counters less than or equal to 10, the student will write a subtraction equation for 5 out of 6 examples by the completion of the IEP.

2. Given a 10 frame and counters, the student will model quantities within 10 for 5 out of 6 examples by the completion of the IEP.

3. Given a 10 frame model filled with two-color counters less than or equal to 10, the student will write an addition equation for 5 out of 6 examples by the completion of the IEP.

4. Given a 10 frame model filled with two-color counters less than or equal to 10, the student will write a subtraction equation for 5 out of 6 examples by the completion of the IEP.

This topic is still in development.

Key Concept: An equation represents a relationship between quantities.

Topic Overview | Standards Alignment | #### Common Core

K.OA.A.1 Represent addition and subtraction with objects, fingers, mental images, drawings, sounds (e.g.claps), acting out situations, verbal explanations, expressions, or equations.

K.OA.A.4 For any number from 1 to 9, find the number that makes 10 when added to the given number, e.g.by using objects or drawings, and record the answer with a drawing or equation.#### Georgia

MGSEK.OA.1 Represent addition and subtraction with objects, fingers, mental images, drawings, sounds (e.g.claps), acting out situations, verbal explanations, expressions, or equations.

MGSEK.OA.4 For any number from 1 to 9, find the number that makes 10 when added to the given number, e.g.by using objects or drawings, and record the answer with a drawing or equation. IEP Goals

In this topic, students develop their fluency with addition and subtraction within 5 and learn to create a model from an addition or subtraction equation.

K.OA.A.4 For any number from 1 to 9, find the number that makes 10 when added to the given number, e.g.by using objects or drawings, and record the answer with a drawing or equation.

MGSEK.OA.4 For any number from 1 to 9, find the number that makes 10 when added to the given number, e.g.by using objects or drawings, and record the answer with a drawing or equation.

1. Given a quantity less than or equal to 19, the student will create a group of objects that represents the quantity for 5 out of 6 examples by the completion of the IEP.

2. Given a 10 frame model filled with two-color counters less than or equal to 10, the student will write an addition or subtraction equation for 5 out of 6 examples by the completion of the IEP.

2. Given a 10 frame model filled with two-color counters less than or equal to 10, the student will write an addition or subtraction equation for 5 out of 6 examples by the completion of the IEP.

This topic is still in development.

In this unit, students build their understanding addition and subtraction within 10. Students solve word problems that involve joining and separating, they use number bonds to compose and decompose quantities, and represent addition and subtraction with ten frame models and equations.

K.OA.A.2 Solve addition and subtraction word problems, and add and subtract within 10, e.g.by using objects or drawings to represent the problem.

K.OA.A.3 Decompose numbers less than or equal to 10 into pairs in more than one way, e.g.by using objects or drawings, and record each decomposition by a drawing or equation (e.g.5 = 2 + 3 and 5 = 4 + 1).

K.OA.A.4 For any number from 1 to 9, find the number that makes 10 when added to the given number, e.g., by using objects or drawings, and record the answer with a drawing or equation.

K.OA.A.5 Fluently add and subtract within 5.

MGSEK.OA.2 Solve addition and subtraction word problems, and add and subtract within 10, e.g.by using objects or drawings to represent the problem.

MGSEK.OA.3 Decompose numbers less than or equal to 10 into pairs in more than one way, e.g.by using objects or drawings, and record each decomposition by a drawing or equation. (drawings need not include an equation).

MGSEK.OA.4 For any number from 1 to 9, find the number that makes 10 when added to the given number, e.g.by using objects or drawings, and record the answer with a drawing or equation.

MGSEK.OA.5 Fluently add and subtract within 5.