Fact Families
Subject: Math
Grade: Second grade
Topic: Properties

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Welcome to Fact Families! – Learning about Fact Families – Numbers relate like family members – Numbers in a family work together in math problems – Each family has 3 members – Think of a family with 2 children and 1 parent – Creating our own number families – We’ll use addition and subtraction to show relationships | This slide introduces the concept of Fact Families, which is a way to understand the relationship between addition and subtraction. Explain to the students that just like family members are related to each other, numbers in a fact family are connected through math operations. Use the analogy of a family structure to help them visualize the concept. For example, if 3 and 4 are siblings, and 7 is their parent, then 3 + 4 = 7, 4 + 3 = 7, 7 – 3 = 4, and 7 – 4 = 3. Encourage the students to think of their own number families and how they can use addition and subtraction to show the relationships between the numbers. This will set the foundation for understanding how numbers work together in different math problems.
Exploring Fact Families – What is a Fact Family? – A set of related math facts using the same numbers. – Example with 2, 4, and 6 – 2+4=6, 4+2=6, 6-2=4, and 6-4=2 show how they’re related. – Addition and subtraction connection – These operations are like family members; they stick together! – Fact families are fun! | Introduce the concept of Fact Families by explaining that they are groups of math facts that use the same numbers. Use the numbers 2, 4, and 6 as an example to show how addition and subtraction are interconnected. Emphasize that understanding fact families helps with recognizing patterns and relationships in math, making addition and subtraction easier and more fun. Encourage students to think of their own fact families and to see the ‘family members’ (numbers) working together in different ways. This foundational understanding will aid in their arithmetic skills development.
Creating Our Own Fact Families – Make a Fact Family: 3, 5, 8 – Write two addition facts – 3+5=8 and 5+3=8 show commutative property – Write two subtraction facts – 8-3=5 and 8-5=3 show subtraction facts – Understand the relationships | This slide is aimed at helping second-grade students understand the concept of fact families in mathematics. A fact family consists of related addition and subtraction facts that involve the same numbers. Here, we use the numbers 3, 5, and 8 to create a fact family. Students will learn to write two addition facts showing that the order of addends does not affect the sum, demonstrating the commutative property of addition. They will also write two subtraction facts, understanding how numbers are related in a family. Encourage students to explain how they know the facts are related and to create more examples of fact families with different numbers.
The Fact Family House – A house for our Fact Family – Biggest number lives at the top – The top number is the sum of the two numbers below – Two smaller numbers live below – For example, if the top is 10, two numbers below might be 2 and 8 – They add up to the top number – 2 + 8 = 10, and also 8 + 2 = 10 | This slide introduces the concept of a Fact Family House to help students understand the relationship between addition and subtraction. The biggest number, or the ‘sum’, lives at the top of the house, while the two smaller numbers, or ‘addends’, live at the bottom. These addends combine to make the sum. Use examples like 2 + 8 = 10 and 8 + 2 = 10 to show that the order of addends doesn’t affect the sum. This visual representation helps students grasp that numbers in a fact family are closely related and can be used to create both addition and subtraction sentences. Encourage students to draw their own Fact Family Houses and fill them with different numbers to practice this concept.
Practice Time: Building Fact Families – Practice with 7, 2, and 9 – Find addition and subtraction facts – What addition sentences can we make? – Biggest number is the ‘roof’ – 9 is our ‘roof’, so it’s the total in addition – Let’s build our fact family house! – Draw a house and fill it with facts! | This slide is an interactive activity for students to apply their understanding of fact families in addition and subtraction. Start by explaining that a fact family is a group of math facts using the same numbers. Then, guide the students to use the numbers 7, 2, and 9 to create addition and subtraction sentences. Emphasize that the largest number, 9 in this case, is the sum or ‘roof’ of the addition facts and the starting number in subtraction. Encourage students to visualize this by drawing a house with the number 9 as the roof and the other numbers as the base. Possible activities include having students write out the fact family sentences, draw their own fact family houses, or use manipulatives to represent the numbers physically.
Fact Family Challenge – Partner up for Fact Families – Use numbers 1 to 10 – Record your Fact Families – Write each set of numbers as addition and subtraction sentences – Get ready to share – We’ll discuss as a class what you find! | This activity is designed to help students understand the concept of fact families, which are groups of math facts using the same numbers. By working with a partner, students can collaborate and challenge each other to create as many fact families as possible using the numbers 1 through 10. Encourage them to write down their fact families on the worksheet provided, ensuring they understand that each family consists of two addition and two subtraction sentences that relate to each other. After the activity, have a sharing session where students can present their fact families and discuss their findings. This will reinforce their understanding and allow them to see different ways numbers can be related in fact families.
Class Activity: Fact Family Art – Draw a Fact Family house or tree – Choose three numbers for your family – Write addition and subtraction facts – For example, if you pick 3, 4, 7, write: 3+4=7, 4+3=7, 7-3=4, 7-4=3 – Decorate your Fact Family creatively | This activity is designed to help students understand the concept of fact families through a creative and engaging art project. Students will draw a house or tree and use three numbers to create a fact family, writing down the related addition and subtraction facts. This reinforces the relationship between addition and subtraction and helps students recognize patterns in numbers. Encourage students to be creative with their decorations, making the activity enjoyable and memorable. Possible variations for different students could include using different sets of numbers, creating larger fact families with more members, or even crafting 3D models if resources allow.
Fact Families: Conclusion – Fact Families are like your family – Numbers are related in a Fact Family – If 2, 4, and 6 are a family, 2+4=6 and 4+2=6 – Practice makes perfect – Keep practicing at home! | As we wrap up our lesson on Fact Families, remind the students that numbers in a Fact Family are connected just like members of their own families. They support and relate to each other. Reinforce the concept that practicing these relationships will help them get better at understanding and using Fact Families in math. Encourage them to continue practicing at home with different sets of numbers to become more confident in identifying and using Fact Families. Provide examples and suggest fun activities they can do with their families to reinforce the lesson.

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