G2 U10 L2 TE
Even Number Equations
Applied MP
MPs * Embedded MP
Procedural Lesson Grade 2 · Unit 10· Lesson 2
1
2
3
4
5
* * *
MC: 2.OA.3
6
7
*
8
*
Student Journal Pages
49-56
Problem of the Day
Objective: Today, I will write an equation to express an even number as the
sum of two equal addends.
Vocabulary
Teacher Resources
Equation: a number sentence with an equal sign. 10 = 5 + 5 or 5 + 5 = 10
0---0 0---0 0---0 0---0 0---0
Considerations At this point in the year, students have worked with place value (Unit 1) and skip counting (Unit 2). In Unit 2 Lessons 1 & 2, students determined whether a number was odd or even by pairing the members of a set.
Steps: 1. Draw/count manipulatives. 2. Pair objects. 3. If all objects are paired, the number is even. If there is a “left over,” the number is odd.
Application of MPs 5 + 5 = 10
MP2: What does your model represent? MP3: How does your model support your answer? MP7: Where can you see a pattern? MP8: Can you see any repetition in your work?
Copyright © Swun Math
Grade 2 Unit 10 Lesson 2 P TE
Answer Key
Answer Key: I/M
SGP
FCU
SP
1. 3 + 3 = 6
1. 7 + 7 = 14
1. 4 + 4 = 8
1.
0---0 0---0 0---0 0---0 0---0 0---0 0---0
2.
8 + 8 = 16 0---0 0---0 0---0 0---0 0---0 0---0 0---0 0---0
2. 2 + 2 = 4
6 + 6 = 12 0---0 0---0 0---0 0---0 0---0 0---0
CH
HW
HW(cont.)
1. 5 + 5 = 5 + 5
1. 6 + 6 = 12
7. No, he did not write the correct equation. The correct equation is 7 + 7 = 14 because there are two groups with 7 in each or 7+7=14.
0---0 0---0 0---0 0---0 0---0 0---0 0---0 0---0 0---0 0---0 The sum is 20
0---0 0---0 0---0 0---0 0---0 0---0
and it is even.
2. 5 + 5 = 10
2. 1 + 1 = 2
2.
0---0 0---0 0---0 0---0 0---0
8+8+8+8
2.
2+2=4
0---0 0---0 0---0 0---0 0---0 0---0 0---0 0---0 0---0 0---0 0---0 0---0 0---0 0---0 0---0 0---0 The sum is 32 and it is even.
3. 3 + 3 = 6
3. 4 + 4 = 8 4. 10 + 10= 20 0---0 0---0 0---0 0---0 0---0
0---0 0---0 0---0 0---0 0---0 5. 9 + 9 = 18
0---0 0---0 0---0
6.
0---0
When adding two equal addends the sum will always be even because the members of each group will be equal.
4. 5 + 5 = 10
0---0 0---0 0---0 0---0 0---0
5. 3 + 3 = 6
8. 0---0 0---0 0---0 0---0 0---0 0---0 0---0 0---0 8 + 8 = 16
0---0 0---0 0---0 0---0 0---0 0---0 0---0 0---0 0---0 6.
4+4=8
0---0 2+2=4 When adding two equal addends the sum will always be even because the members of each group are equal.
Copyright © Swun Math
Grade 2 Unit 10 Lesson 2 P TE
Input / Model (Teacher Presents)
*MP1: Make sense of the problem and persevere in solving it! *MP8: Find a strategy to help solve the problem. Directions: Solve the problems below by placing the objects into two groups.
1. Write an equation expressing the number 6 as a sum of 2 equal addends.
0----0 0----0 0----0
2. Represent 16 as the sum of 2 equal addends by:
Drawing a picture
Writing an equation
MP2: What does your model represent? MP3: How does your model support your answer? Copyright © Swun Math
Grade 2 Unit 10 Lesson 2 P TE
Structured Guided Practice (A / B Partners Practice)
Directions: Solve the problems below by placing the objects into two groups.
1. Represent 14 as the sum of 2 equal addends by:
Drawing a picture
Writing an equation
2. Write an equation expressing the number 4 as a sum of 2 equal addends.
0----0 0----0
MP7: Where did you see a pattern? MP8: Did you see repetition in your work?
Copyright © Swun Math
Grade 2 Unit 10 Lesson 2 P TE
Final Check for Understanding (A / B Partners Practice)
Directions: Solve the problems below by placing the objects into two groups.
1. Write an equation expressing the number 8 as a sum of 2 equal addends.
0----0 0----0 0----0 0----0
2. Represent 10 as the sum of 2 equal addends by:
Drawing a picture
Writing an equation
Copyright © Swun Math
Grade 2 Unit 10 Lesson 2 P TE
Student Practice
Name: ____________________________
Unit 10 Lesson 2: Even Number Equations
Date: ______________________________
Directions: Solve.
1. Represent 12 as the sum of 2 equal addends by:
Drawing a picture.
Writing an equation.
3. Write an equation expressing the number 8 as a sum of 2 equal addends.
0----0 0----0 0----0 0----0
Copyright © Swun Math
2. Write an equation expressing the number 2 as a sum of 2 equal addends.
0----0
4. Represent 20 as the sum of 2 equal addends by:
Drawing a picture.
Writing an equation.
Grade 2 Unit 10 Lesson 2 P TE
Student Practice
Name: ____________________________
Unit 10 Lesson 2: Even Number Equations
Date: ______________________________
Directions: Solve.
5. Represent 6 as the sum of 2 equal addends by:
Drawing a picture.
Writing an equation.
6. Represent 4 as the sum of 2 equal addends by:
Drawing a picture.
Writing an equation.
Explain why 2 even addends are equal to an even sum.
0----0 0----0
Copyright © Swun Math
Grade 2 Unit 10 Lesson 2 P TE
Challenge Problems
1. Draw a picture for 5 + 5 + 5 + 5. What do you notice about the sum?
2. Draw a picture for 8 + 8 + 8 + 8. What do you notice about the sum?
Extension
*MP4: How can you relate this to something in real life?
Draw a picture and write an equation to represent the sum of one odd number and one even number. What do you notice about the sum? Why do you think the sum is what it is?
Reaching Consensus
*MP3: Do you agree/disagree with what
said?
Student Presentations
*MP6: How do you know your answers are correct/reasonable?
Closure Recap today’s lesson with one or more of the following MP questions: MP2: What did your model represent? MP3: How did your model support your answer? MP7: Where did you see a pattern? MP8: Did you see any repetition in your work?
Copyright © Swun Math
Grade 2 Unit 10 Lesson 2 P TE
Homework
Name: ____________________________
Unit 10 Lesson 2: Even Number Equations
Date: ______________________________
Directions: Solve.
1. Represent 12 as the sum of two equal addends by:
Drawing a picture.
Writing an equation.
3. Write an equation expressing the number 6 as a sum of 2 equal addends.
0----0 0----0 0----0
Copyright © Swun Math
2. Write an equation expressing the number 4 as a sum of 2 equal addends.
0----0 0----0
4. Represent 10 as the sum of 2 equal addends by:
Drawing a picture.
Writing an equation.
Grade 2 Unit 10 Lesson 2 P TE
Homework Unit 10 Lesson 2: Even Number Equations Directions: Solve.
5. Represent 18 as the sum of two equal addends by:
Drawing a picture.
Writing an equation.
7. Steven wrote the equation: 2+7=9 Did Steven write the correct equation for the picture? Why or why not?
0----0 0----0 0----0 0----0 0----0 0----0 0----0
Copyright © Swun Math
6. Write an equation expressing the number 8 as a sum of 2 equal addends.
0----0 0----0 0----0 0----0
8. Represent 16 as the sum of 2 equal addends by:
Drawing a picture.
Writing an equation.
Explain why two even addends are equal to an even sum.
Grade 2 Unit 10 Lesson 2 P TE
Applied MP
MPs * Embedded MP
Procedural Lesson Grade 2 · Unit 10· Lesson 2
1
2
3
4
5
* * *
MC: 2.OA.3
6
7
*
8
*
Student Journal Pages
49-56
Problem of the Day
Objective: Today, I will write an equation to express an even number as the
sum of two equal addends.
Vocabulary
Teacher Resources
Equation: a number sentence with an equal sign. 10 = 5 + 5 or 5 + 5 = 10
0---0 0---0 0---0 0---0 0---0
Considerations At this point in the year, students have worked with place value (Unit 1) and skip counting (Unit 2). In Unit 2 Lessons 1 & 2, students determined whether a number was odd or even by pairing the members of a set.
Steps: 1. Draw/count manipulatives. 2. Pair objects. 3. If all objects are paired, the number is even. If there is a “left over,” the number is odd.
Application of MPs 5 + 5 = 10
MP2: What does your model represent? MP3: How does your model support your answer? MP7: Where can you see a pattern? MP8: Can you see any repetition in your work?
Copyright © Swun Math
Grade 2 Unit 10 Lesson 2 P TE
Answer Key
Answer Key: I/M
SGP
FCU
SP
1. 3 + 3 = 6
1. 7 + 7 = 14
1. 4 + 4 = 8
1.
0---0 0---0 0---0 0---0 0---0 0---0 0---0
2.
8 + 8 = 16 0---0 0---0 0---0 0---0 0---0 0---0 0---0 0---0
2. 2 + 2 = 4
6 + 6 = 12 0---0 0---0 0---0 0---0 0---0 0---0
CH
HW
HW(cont.)
1. 5 + 5 = 5 + 5
1. 6 + 6 = 12
7. No, he did not write the correct equation. The correct equation is 7 + 7 = 14 because there are two groups with 7 in each or 7+7=14.
0---0 0---0 0---0 0---0 0---0 0---0 0---0 0---0 0---0 0---0 The sum is 20
0---0 0---0 0---0 0---0 0---0 0---0
and it is even.
2. 5 + 5 = 10
2. 1 + 1 = 2
2.
0---0 0---0 0---0 0---0 0---0
8+8+8+8
2.
2+2=4
0---0 0---0 0---0 0---0 0---0 0---0 0---0 0---0 0---0 0---0 0---0 0---0 0---0 0---0 0---0 0---0 The sum is 32 and it is even.
3. 3 + 3 = 6
3. 4 + 4 = 8 4. 10 + 10= 20 0---0 0---0 0---0 0---0 0---0
0---0 0---0 0---0 0---0 0---0 5. 9 + 9 = 18
0---0 0---0 0---0
6.
0---0
When adding two equal addends the sum will always be even because the members of each group will be equal.
4. 5 + 5 = 10
0---0 0---0 0---0 0---0 0---0
5. 3 + 3 = 6
8. 0---0 0---0 0---0 0---0 0---0 0---0 0---0 0---0 8 + 8 = 16
0---0 0---0 0---0 0---0 0---0 0---0 0---0 0---0 0---0 6.
4+4=8
0---0 2+2=4 When adding two equal addends the sum will always be even because the members of each group are equal.
Copyright © Swun Math
Grade 2 Unit 10 Lesson 2 P TE
Input / Model (Teacher Presents)
*MP1: Make sense of the problem and persevere in solving it! *MP8: Find a strategy to help solve the problem. Directions: Solve the problems below by placing the objects into two groups.
1. Write an equation expressing the number 6 as a sum of 2 equal addends.
0----0 0----0 0----0
2. Represent 16 as the sum of 2 equal addends by:
Drawing a picture
Writing an equation
MP2: What does your model represent? MP3: How does your model support your answer? Copyright © Swun Math
Grade 2 Unit 10 Lesson 2 P TE
Structured Guided Practice (A / B Partners Practice)
Directions: Solve the problems below by placing the objects into two groups.
1. Represent 14 as the sum of 2 equal addends by:
Drawing a picture
Writing an equation
2. Write an equation expressing the number 4 as a sum of 2 equal addends.
0----0 0----0
MP7: Where did you see a pattern? MP8: Did you see repetition in your work?
Copyright © Swun Math
Grade 2 Unit 10 Lesson 2 P TE
Final Check for Understanding (A / B Partners Practice)
Directions: Solve the problems below by placing the objects into two groups.
1. Write an equation expressing the number 8 as a sum of 2 equal addends.
0----0 0----0 0----0 0----0
2. Represent 10 as the sum of 2 equal addends by:
Drawing a picture
Writing an equation
Copyright © Swun Math
Grade 2 Unit 10 Lesson 2 P TE
Student Practice
Name: ____________________________
Unit 10 Lesson 2: Even Number Equations
Date: ______________________________
Directions: Solve.
1. Represent 12 as the sum of 2 equal addends by:
Drawing a picture.
Writing an equation.
3. Write an equation expressing the number 8 as a sum of 2 equal addends.
0----0 0----0 0----0 0----0
Copyright © Swun Math
2. Write an equation expressing the number 2 as a sum of 2 equal addends.
0----0
4. Represent 20 as the sum of 2 equal addends by:
Drawing a picture.
Writing an equation.
Grade 2 Unit 10 Lesson 2 P TE
Student Practice
Name: ____________________________
Unit 10 Lesson 2: Even Number Equations
Date: ______________________________
Directions: Solve.
5. Represent 6 as the sum of 2 equal addends by:
Drawing a picture.
Writing an equation.
6. Represent 4 as the sum of 2 equal addends by:
Drawing a picture.
Writing an equation.
Explain why 2 even addends are equal to an even sum.
0----0 0----0
Copyright © Swun Math
Grade 2 Unit 10 Lesson 2 P TE
Challenge Problems
1. Draw a picture for 5 + 5 + 5 + 5. What do you notice about the sum?
2. Draw a picture for 8 + 8 + 8 + 8. What do you notice about the sum?
Extension
*MP4: How can you relate this to something in real life?
Draw a picture and write an equation to represent the sum of one odd number and one even number. What do you notice about the sum? Why do you think the sum is what it is?
Reaching Consensus
*MP3: Do you agree/disagree with what
said?
Student Presentations
*MP6: How do you know your answers are correct/reasonable?
Closure Recap today’s lesson with one or more of the following MP questions: MP2: What did your model represent? MP3: How did your model support your answer? MP7: Where did you see a pattern? MP8: Did you see any repetition in your work?
Copyright © Swun Math
Grade 2 Unit 10 Lesson 2 P TE
Homework
Name: ____________________________
Unit 10 Lesson 2: Even Number Equations
Date: ______________________________
Directions: Solve.
1. Represent 12 as the sum of two equal addends by:
Drawing a picture.
Writing an equation.
3. Write an equation expressing the number 6 as a sum of 2 equal addends.
0----0 0----0 0----0
Copyright © Swun Math
2. Write an equation expressing the number 4 as a sum of 2 equal addends.
0----0 0----0
4. Represent 10 as the sum of 2 equal addends by:
Drawing a picture.
Writing an equation.
Grade 2 Unit 10 Lesson 2 P TE
Homework Unit 10 Lesson 2: Even Number Equations Directions: Solve.
5. Represent 18 as the sum of two equal addends by:
Drawing a picture.
Writing an equation.
7. Steven wrote the equation: 2+7=9 Did Steven write the correct equation for the picture? Why or why not?
0----0 0----0 0----0 0----0 0----0 0----0 0----0
Copyright © Swun Math
6. Write an equation expressing the number 8 as a sum of 2 equal addends.
0----0 0----0 0----0 0----0
8. Represent 16 as the sum of 2 equal addends by:
Drawing a picture.
Writing an equation.
Explain why two even addends are equal to an even sum.
Grade 2 Unit 10 Lesson 2 P TE
