Find the other endpoint of the line segment with th
1 Endpoint: (-5, 7), midpoint: (-2, 2)

midpoint= (x1+x2)/2, (y1+y2)/2

(-2,2)= (x-5)/2 , (y+7)/2

Take (x-5)/2 = -2 and (y+7)/2=2

(x-5)/2 = -2,

x - 5 = -4

x = -4+5,

x = 1

(y+7)/2=2

y +7 = 4

y = 4 - 7

y = -3

Thus, the coordinates are ( 1 , -3 )

At the signal tell how many equal groups we’ve made.

(Signal.)

S: 4 equal groups.

T: (Write 4 × ___ = ___.) At the signal tell the size of each

group. (Signal.)

S: (Respond depending on class numbers.)

T: (Fill in the equation on the board.) These numbers—

the number of groups and the number in each group—

are called factors.

Students transition back to their seats.

T: Use the multiplication equation on the board to draw

an array. Make sure that your board is vertical.

S: (Draw a 4 × array.)

T: Let’s draw a number bond for our equation. Draw a

circle with our class total.

S: (Draw.)

T: Draw parts coming from the total. Make 1 part to

represent each row in our array.

S: (Draw 4 circles coming from the total.)

T: Show the size of 1 row with your fingers.

S: (Show fingers.)

T: Write the factor representing the size of the grou