Question

use the addition table.

1. circle two squares that each represent a sum of 3 and 4. this shows the commutative property of addition.

3 + 4 = __ and 4 + 3 = __

1. circle the two addends which make a sum of the shaded 12. write the number sentence.
2. shade a diagonal of numbers green that show the sums equal to 9.
3. shade a row of numbers yellow that represents sums with one addend of 10.

problem solving

1. practice justify conclusions jasmine had 11 friends over at her house. every time the doorbell rang, 2 more friends arrived. the doorbell rang 3 times. how many friends did jasmine have over altogether?
2. steve colors the following sums on an addition table. if he continues the pattern, will the numbers continue to be even? explain.

12, 14, 16, 18
test practice

1. danielle is saving for a bicycle. her last 4 bank deposits

Explanation:

Step1: Solve 3 + 4 and 4 + 3

Using the addition table or basic addition knowledge, 3+4 = 7 and 4 + 3=7.

Step2: Find addends for sum of 12

Looking at the addition table, we can see that 4+8 = 12, 5+7 = 12, 6+6 = 12, 7+5 = 12, 8+4 = 12 etc. Let's choose 4 and 8, and the number - sentence is 4 + 8=12.

Step3: Shade diagonal for sum of 9

In the addition table, the pairs that sum to 9 are (0,9), (1,8), (2,7), (3,6), (4,5), (5,4), (6,3), (7,2), (8,1), (9,0). Shade the corresponding diagonal - elements.

Step4: Shade row for addend of 10

The row corresponding to an addend of 10 is the row labeled 10. Shade all the numbers in this row.

Step5: Solve for Jasmine's friends

Jasmine initially had 11 friends. The door - bell rang 3 times and 2 more friends arrived each time. The number of new friends is 2×3 = 6. So the total number of friends is 11+6 = 17.

Step6: Analyze the pattern of even numbers

The numbers 12, 14, 16, 18 are all even. The pattern has a common difference of 2. An even number can be represented as 2n where n is an integer. If we start with an even number a = 2m and add 2 (a = 2m+2=2(m + 1)), the result is also an even number. So if Steve continues the pattern, the numbers will continue to be even.

Answer:

1. 7; 7
2. 4 + 8 = 12 (answers may vary)
3. Shade the diagonal with pairs (0,9), (1,8), (2,7), (3,6), (4,5), (5,4), (6,3), (7,2), (8,1), (9,0)
4. Shade the row labeled 10
5. 17
6. Yes, because the common difference is 2 and starting with an even number and adding 2 results in an even number.