Course Overview:

This course will focus on the Common Core Standards at the First Grade level. There are four critical areas of concentration. They are:

(1) developing an understanding of addition, subtraction and strategies for addition and subtraction within 20; (2) developing understanding of whole number relationship and place value, including grouping in tens and ones; (3) developing understanding of linear measurement and measuring lengths as iterating length units; and

(4) reasoning about attributes of, and composing and decomposing geometric shapes.


RELATE COUNTING TO ADDITION AND SUBTRACTION


Unit Overview

1, 2, 3...counting is fun, don’t you agree? Counting things is something you do every day. In this unit you will learn how counting relates to adding and subtracting. You will begin by using numbers to count how many objects are shown in pictures.

You will also practice finding which group has more, fewer or the same number of objects. Matching the objects one to one will help you do this. You will finish up the unit by using the counting up strategy to solve addition problems, and the counting back strategy to solve subtraction problems. New vocabulary will be introduced throughout.

You will keep a math notebook to practice in also. This can be a spiral notebook from the store. Before moving on, practice your counting using the video below.







Counting Activity
Watch the video below. It will help you with your counting skills!


Now that you have counted apples, let’s try to count stars. Go to question one.



Math Notebook:
Now let’s practice writing the numbers 1 through 20 in your notebook. Your mentor will help you. When you are done with that, write down the vocabulary words and their meanings in your notebook. Use your notebook as a reference in the question section later.

Vocabulary:
Same equal in number or amount
More greater in number or amount
Fewer smaller in number or amount



Numbers to Twenty

There are different ways to show numbers. Write each number in standard form and word form in your math notebook. Draw a picture to represent each number.

Standard Form Word Form

1

One

2

Two

3

Three

4

Four

5

Five

6

Six

7

Seven

8

Eight

9

Nine

10

Ten

11

Eleven

12

Twelve

13

Thirteen

14

Fourteen

15

Fifteen

16

Sixteen

17

Seventeen

18

Eighteen

19

Nineteen

20

Twenty

 

This would be a good time to practice counting forward and backwards with your mentor. You can use a ruler to see the numbers in order.



Addition: Counting Up Strategy

When adding two numbers, choose the largest one, say it aloud, then count up based on the other number. 
For instance, with 8 + 4, say 8 aloud and then count up four: 9, 10, 11, 12.  The sum is 12!

Practice doing this with the following problems. Your mentor will help you.

Six plus two: 6 + 2 = ?

8

"Click here" to check the answer.


Count up: 8 + 3 = ?

11

"Click here" to check the answer.


Count up: 2 + 5 = ?

7

"Click here" to check the answer.




Now answer questions 2-13.



Activity to do at home: Egg-Carton Counting!


Ask your mentor to help you make the following game. Use an old egg carton with a numeral (1-10 or just 1-6) printed in the bottom of each vessel, and a small pebble to generate random addition problems. 

Close the carton and shake it. Which number did it land on? Write that down in your notebook. Close the carton and shake it again. Which number did it land on this time? Write that number down in your notebook as well. Add the two numbers together by using the counting up strategy. 

If you would like, you may print out the worksheet to help you with this activity: Egg Carton Counting Worksheet.



Subtraction: Counting Down Strategy

When subtracting numbers, you can count back. To count back 3 from 9 (9 - 3) you would say 9 aloud and then count back 3 and say 8, 7, 6. So 9 - 3 = 6.


Basic Subraction





Now answer questions 14-25.