Core Objective(s):
Know, record, and apply addition facts (sums to 20 or less) with/without manipulative. (2NA2-1)
State Standard: (2II.A,B) Numerical and Algebraic Concepts and Operations- Use concrete models to develop an understanding of the concepts of addition, subtraction, multiplication, and division of whole numbers. Use models to allow students to construct their own algorithms for addition, subtraction, multiplication, and division of whole numbers.
Overview: The teacher will build on the concept of 'counting on ' as it is an important skill for students to learn as they proceed with addition. The teacher will use this counting on strategy as the students move into problem solving. The teacher will lead students through addition by reading the books, Ten Black Dots by Crews. Rooster's Off to See the World by Carle, and One Gorilla by Morozumi. The teacher will lead the students through several math games to practice addition facts. As the culminating assessment, the students will show their knowledge of basic addition through fact recall and problem solving skills.
Purpose/Essential Question: What is adding? What is counting on? How do we find the answer to an adding problem? How do we find all the numbers that add up to __?
Time Frame: 3 days ( 1 hour math periods)
Resources:
Day One:
Teacher: chart paper, markers
Overhead projector, pen
Transparency
Transparent counters
Book - Ten Black Dots
Student: styrofoam cup
20 counters
paper, markers
construction paper, pencils
stickers
Day Two:
Teacher: beach ball * with numbers written on the panels of the ball for adding- use permanent marker*
Book: Rooster's Off to See the World
Television, averkey, computer, internet access
Handout - Farmer Fred's Counting Fun
Student: paper, pencil
Cube links, counters, or pattern blocks of 2 different
colors
Day Three:
Teacher: small beanbag
Book: One Gorilla
Sentence strips with printed numerals 1-10 and animal
names
magnets, chalkboard
television, averkey, computer, website
set of addition flashcards
Student: pencils, markers
Unlined paper
Lined paper
Activity Page handout
Assessment:
Day One: Counting On Assessment
The rubric will assess the student's knowledge of counting on or adding two numbers to the sum of ten. The students will create number sentences and pictorial representations of their sentences to equal the sum of ten.
Therefore,
| 4 number sentences + 4 pictorial representations |
= 8 possible
points |
| So that, |
7-8 points = +
5-6 points = /
Below 5 points = - |
Day Two: Farmer Fred's Counting Fun
The rubric will assess the student's ability to apply knowledge of addition facts and show pictorial representation of the sum. The students will answer each problem and draw pictures to represent the final sum.
Therefore,
| 3 addition problems + 3 pictorial representations |
= 6 possible points. |
| So that, |
6 points = +
4-5 points = /
Below 4 points = - |
Day Three: Flashcard Quiz
The rubric will assess the student's knowledge of addition facts as presented in a timed setting. The students will record their answers on paper of verbally stated and visually displayed addition facts with sums to 20.
Therefore,
| 20 addition problems X 1 point |
= 20 possible points. |
| So that, |
18-20 points = +
15 -17 points = /
Below 15 points = - |
Activities:
Day One:
1. The teacher will begin the lesson by writing random numbers (0-20) on a piece of chart paper. These numbers should be written all over the paper. As the teacher writes the numbers, students will begin to say each number and try to predict the next number that the teacher will write. The teacher will ask the students to come up and connect the numbers in order (like a dot to dot puzzle). Ask the students to recall the word we use for going from one number to the next (counting).
2. The teacher will share the book, Ten Black Dots, with the students in the reading corner. As the teacher reads the story, the teacher will direct the students to count as they look at the pictures in the story. See if any of the students can count backwards from twenty without missing a number. To make it more fun, time the students to see who is the fastest student.
3. The teacher will add the term 'count' to the Number Chart. She will ask the students if they can think of another word that has to do with counting (add). The teacher will ask what the term
'add' means, as she puts it on the Number Chart. She will refer to adding as
"counting on" to another number.
4. The teacher will pass out the following materials to pairs of students:
One styrofoam cup, 20 quiet counters, paper, markers
The teacher will direct the students to the overhead projector as she demonstrates a simple addition problem. She will place 6 counters in a circle on transparency. She will ask the students how many counters are in the circle. She will write the number 6 under the circle. Next, she will place 3 counters outside the circle and will think aloud 6 + 3 (Hmmm!) 6, 7, 8, 9 --- 6+3=9. She will ask the students if she worked that problem correctly. Then she will check by pointing to each counter as she counts - one, two, three, four, five, six, seven, eight, nine. Yes, 6+3=9.
The teacher will ask the students to get ready and this time, they will add the problem. First, the teacher will say add 10 counters to the cup. Then write the number on your paper. Next, add 4 more counters to the cup and "count on" to the number in the cup already. 10 + 4 = ten, eleven, twelve, thirteen, fourteen. 10 + 4 = 14. Ask the students to finish writing the problem. Answer the problem. Count the cup of counters. Repeat this exercise in small groups. Let the students make up the problems.
5. As the daily assessment, the teacher will pass out stickers, construction paper, and pencils to each student. She will direct the students to fold their paper in half as if they are making a card. Students should number the paper 1-4 (front and back). The teacher will ask the students to recall the story,
Ten Black Dots. In each section of the construction paper, the student is to write a number sentence that adds up to ten. Then the students should use the stickers to make a pictorial representation of their number sentences. The teacher will give one example on the overhead projector. 1 + 1 = 2 then she will put one sticker + 1 sticker + 2 stickers.
Day Two:
1. The teacher will begin the game of Addition Beach
Ball. She will have the students sit Indian style in a circle. She will show the beach ball to the students and point to all the numbers on the ball. She will explain that she will call out a student's name to catch the ball. That student will catch the ball and locate the two closest numbers to where his hands land on the ball. The student is to call out the numbers and add them together. If the student adds the numbers correctly, he may choose the next student to try to catch the Addition Beach Ball. * This is good practice for mastery of basic addition and subtraction facts.
2. The teacher will read Rooster's Off to See the World to the class. The book is about a rooster who one day decided that he wanted to travel. Other animals joined him. A problem came about, when night fell and they all realized that no plans had been made for food or shelter. The story ends with all the animals returning home.
3. After reading the story, the teacher will ask the students to recall the animals that joined the rooster. The students will identify the pattern of animals as the teacher flips through the book to identify each animal in order. The teacher will give each student a piece of paper on which to
record their answers and show their work to figure out how many animals altogether set out to see the world. When the students complete their solutions, the teacher will ask for volunteers to share their ideas and tell how they got their answer.
- Answer 15 animals but representations of how they arrived at that answer may vary. The sequence was: 1 rooster, 2 cats, 3 frogs, 4 turtles, 5 fish.
4. The teacher will direct the students attention to the television as she prepares :
www.scholastic.com/teacher/max/farmer/index.htm
Together the students and teacher will read Farmer Fred's Counting Fun and complete
Max's Challenge. Students will use paper and pencil at their desks to figure out each of the Challenge problems. Students may wish to enter their answers. The teacher will conduct a discussion on each problem.
5. The teacher will pass out a copy of Farmer Fred's Counting Fun worksheet. Using the television, the teacher will go over the directions with the students as they complete the activity. Students will add and draw to complete each number problem. This will serve as the Daily Assessment.
Enrichment Activity: The teacher will direct students to the website:
www.scholastic.com/teacher/max/farmer/extra.htm
* Materials needed: cube links counters, or pattern blocks of two different colors.
Students will work in small groups to explore these challenge problems.
Day Three:
1. The teacher will have the students come to the reading corner and form a large circle. Using a small beanbag, the teacher will begin a game of
Hot Potato. She will call out a basic addition problem and quickly say, "Hot Potato, _______ (random student)". That student is to catch the beanbag and answer the problem. If the student answers incorrectly, he must remove himself from the circle. Last man remaining is the winner of Hot Potato.
2. The teacher will read the story, One Gorilla to the students. The author writes, "Here is a list of things I love". He begins with one gorilla who makes his way through jungles, gardens, and forests. He passes 2 butterflies, 3 budgerigars, 4 squirrels, 5 pandas, 6 rabbits, 7 frogs, 8 fish, 9 birds, and 10 cats.
* After discussing the story, the teacher will use sentence strips with each of the animals already printed on them. In another set of sentence strips she will have printed the numerals 1 - 10. She will display both the number strips and the animal strips on the board with magnets. She will ask the students to come up and match the correct numeral with the corresponding animal. After each match has been made, the teacher will flip through the story once more for students to see the pictures.
- Next, the teacher will pose the problem of figuring out how many animals the author loved altogether. She will give the students unlined paper on which to show their work. The teacher will tell the students that they may write or draw whatever will help them think about the problem. Then they must show and explain how they get their answer. The teacher will monitor the students as they work individually on this work. To help them with their writing, the teacher may choose to write the following on the board:
He loved ____ things. I figured it by ______________.
- The students will be encouraged to share their answers and show how they found the answer. ( Correct Answer is 55 animals.)
3. The teacher will direct the students' attention to the television as she prepares the television for:
www.teacher.scholastic.com/max/castle/index.htm
Together the students and teacher will read and discuss the poem,
Card Castle Addition. Students will work at their desks to complete the task of finding all the different ways to make 14 using two numbers. Upon completion of the task and discussion of the possibilities, the class may enter their findings and send to the website.
- Next, the teacher will click into the Activity Page. The teacher will hand out copies of this sheet. She will read over the sheet with the students. The activity will shift from finding ways to make 20 using 2 people to make 20 using 3, 4, and 5 people, respectively. The teacher may choose to let students work in cooperative groups to complete the activity.
- Because the answers will vary, the teacher will have a member of each group explain their findings to the class. Other possible answers may be added as they proceed through the sheet.
4. The teacher will direct the students' attention to:
www.aplusmath.com/Games/Concentration/Addition_Concentration.html
The teacher will divide the class into two teams for selecting matches for addition facts and their sums. The game allows for the timed and untimed play. Depending on proficiency on facts, the teacher may choose the more appropriate mode for the class. She will keep a tally of each team's matches.
* This math game may be used independently for practice of basic facts.
5. Following several rounds of Concentration, the teacher will pass out sets of addition flashcards to pairs of students. The students will spend five minutes quizzing each other with the flashcards.
6. For an assessment, the teacher should give students a piece of lined paper. The students should number their papers to 20. Using addition flashcards, the teacher will "flash" addition facts for students to record their answers.
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