Key Concept: Digits of the same place value can be added together and may need to be regrouped to write the sum in standard form.

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

CCSS.Math.Content.4.NBT.B.4 Fluently add and subtract multi-digit whole numbers using the standard algorithm.#### Georgia

MGSE4.NBT.4 Fluently add and subtract multi-digit whole numbers using the standard algorithm. IEP Goals

Students develop place value understanding to add large quantities. They learn when they add, the digits that are added together need to have the same place value. They also learn that once digits have been added that if there are 10 or more of a place value that they need to regroup by taking 10 of the place value to create 1 of the next higher place value.

1. Students will use a place value model to represent quantities to the hundred thousands place for 5 out of 6 examples by the end of the marking period.

2. Given models to represent the place value of two quantities that do not require regrouping, the student will accurately combine the digits that have the same place value for 5 out of 6 examples by the end of the marking period.

3. Given models to represent the place value of two quantities, the student will combine the models and regroup 2 of the quantities for 3 out of 5 trials.

2. Given models to represent the place value of two quantities that do not require regrouping, the student will accurately combine the digits that have the same place value for 5 out of 6 examples by the end of the marking period.

3. Given models to represent the place value of two quantities, the student will combine the models and regroup 2 of the quantities for 3 out of 5 trials.

Unit Launcher

View John's Mountaineering Adventure: Discussion Guide and KWL Chart

P.3-1-1 Sums to 2,000: Regroup up to One Time |

View Guided Lesson Make and use models to add quantities up to 2,000 that may need to be regrouped up to two times. (12-20 min)

P.3-1-2 Sums to 10,000: Regroup up to Two Times |

View Guided Lesson Make and use models to add quantities up to 10,000 that may need to be regrouped up to two times. (12-20 min)

P.3-1-3 Sums to 999,999: Regroup Up To Two Times |

View Guided Lesson Make and use models to add quantities up to 999,999 that may need to be regrouped up to two times. (12-20 min)

P.3-1-4 Sums to 999,999: Regroup Up To Three Times |

View Guided Lesson Make and use models to add quantities up to 999,999 that may need to be regrouped up to three times. (12-20 min)

P.3-1-5 Sums to 999,999: Regroup Up To Five Times |

View Guided Lesson Make and use models to add quantities up to 999,999 that may need to be regrouped up to five times. (12-20 min)

Real World Investigation Part 1

View John's Mountaineering Adventure: John's Data

Key Concept: In order to subtract, numbers may need to be regrouped from one place value to the next place value.

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

CCSS.Math.Content.4.NBT.B.4 Fluently add and subtract multi-digit whole numbers using the standard algorithm.#### Georgia

MGSE4.NBT.4 Fluently add and subtract multi-digit whole numbers using the standard algorithm. IEP Goals

In this topic, students apply their understanding of place value and whole number operations to subtract numbers that require up to two regroupings. In the first two lessons, students will use place value models to develop an understanding of how numbers can be regrouped and represented in a different way. Students will then use a dot model to subtract numbers that require one regrouping. In the third and fourth lessons, the dot model will be faded to allow for students to regroup using a numbers only model.

1. Given models to represent the place value of two quantities that do not require regrouping, the student will accurately subtract the numbers for 5 out of 6 examples by the end of the marking period.

2. Students will use a place value model to regroup quantities from one place value to the next place value for 5 out of 6 examples by the end of the marking period.

3. Given models to represent the place value of two quantities, the student will regroup when necessary (up to two times) and subtract the quantities for 3 out of 5 trials.

2. Students will use a place value model to regroup quantities from one place value to the next place value for 5 out of 6 examples by the end of the marking period.

3. Given models to represent the place value of two quantities, the student will regroup when necessary (up to two times) and subtract the quantities for 3 out of 5 trials.

P.3-2-1 Differences to 9,999: Regroup up to One Time (Tens to Ones) |

Lesson Plan

View Guided Lesson Students will use models to regroup tens to ones. They will then use the models to subtract quantities that may need to be regrouped up to one time. (12-20 min)

P.3-2-2 Differences to 9,999: Regroup up to One Time |

Lesson Plan

View Guided Lesson Students will use models to regroup thousands and hundreds. They will then use the models to subtract quantities that may need to be regrouped up to one time. (12-20 min)

P.3-2-3 Differences to 999,999: Regroup up to One Time |

Lesson Plan

View Guided Lesson Students will use models and numbers only to subtract numbers that may need to be regrouped up to one time. (12-20 min)

P.3-2-4 Differences to 999,999: Regroup up to Two Times |

Lesson Plan

View Guided Lesson Students will use models to subtract numbers that may need to be regrouped up to two times. (12-20 min)

Real World Investigation Part 2

View John's Mountaineering Adventure: Create Some Data

Key Concept: In order to subtract, numbers may need to be regrouped across multiple place values.

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

CCSS.Math.Content.4.NBT.B.4 Fluently add and subtract multi-digit whole numbers using the standard algorithm.#### Georgia

MGSE4.NBT.4 Fluently add and subtract multi-digit whole numbers using the standard algorithm. IEP Goals

In this topic, students apply their understanding of place value and whole number operations to subtract numbers that require up to three regroupings. In the first two lessons, students will use place value models to develop an understanding of how to regroup numbers up to three times with possible double regroupings. In the third and fourth lessons, students will use models to learn how to regroup zeros.

1. Given models to represent the place value of two quantities, the student will regroup when necessary (up to three times) and subtract the quantities for 3 out of 5 trials.

2. Given models to represent the place value of two quantities, the student will regroup across zeros and subtract the quantities for 3 out of 5 trials.

2. Given models to represent the place value of two quantities, the student will regroup across zeros and subtract the quantities for 3 out of 5 trials.

P.3-3-1 Differences to 999,999: Regroup up to Two Times With Double Regroupings |

Lesson Plan

View Guided Lesson Students will use models to subtract numbers that may need to be regrouped up to two times with double regroupings. (12-20 min)

P.3-3-2 Differences to 999,999: Regroup up to Three Times |

Lesson Plan

View Guided Lesson Students will use models to subtract numbers that may need to be regrouped up to three times. (12-20 min)

P.3-3-3 Differences to 999,999: Regroup One Zero |

Lesson Plan

View Guided Lesson Students will use models to subtract numbers that require regrouping of one zero. (12-20 min)

P.3-3-4 Differences to 999,999: Regroup Across Zeros |

Lesson Plan

View Guided Lesson Students will use models to subtract numbers that require regrouping across zeros. (12-20 min)

Real World Investigation Part 3

View Your Mountaineering Adventure: Your Data

This big idea develops both the conceptual understanding and skill in addition and subtraction of large numbers using the standard algorithm. Students gain a deeper understanding of the base-ten number system. They learn that digits that have the same place value can be added together. They extend previous learning to understand that 10 of one place value can create 1 of the next largest place value. Likewise, they understand that 1 place value unit can create 10 of the next smallest place value. Students apply this understanding to regroup multiple times in addition and subtraction problems with quantities to the hundred thousands place.