do now (3 mins) pkb (prior knowledge box) topic: systems of linear equations misconceptions complete...
TRANSCRIPT
DO Now (3 mins)PKB (Prior Knowledge Box)
Topic: Systems of Linear Equations
Misconceptions
Complete this side only. List anything that you know about the above topic.
Standard
Algebra 1-9.0: Students solve a system of two linear equations in two variables algebraically and are able to interpret the answer graphically. Students are able to solve a system of two linear inequalities in two variables and to sketch the solution sets.
Objective
1. Huskies will be able to predict the solutions to a system of two linear equations by graphing and solving.
2. Students will show a mastery by earning a 3 out of 4 (proficiency) on the exit slip.
Solve x + y = 7 x - y = 3BY GRAPHING
Solve x + y = 7 x - y = 3BY GRAPHING
Solve y = -x + 7 x - y = 3BY GRAPHING
Solve y = -x + 7 y = x - 3BY GRAPHING
Solve y = -x + 7 y = x - 3BY GRAPHING
Solve y = -x + 7 y = x - 3BY GRAPHING
Solve y = -x + 7 y = x - 3BY GRAPHING
Solve y = -x + 7 y = x - 3
(5,2)
BY GRAPHING
Solve y = -x + 7 y = x - 3
(5,2)
BY GRAPHING
Solve y = -x + 7 y = x - 3
(5,2)
BY GRAPHING
Solve x + y = 7 x - y = 3BY SUBSTITUTION
Solve x + y = 7 x - y = 3
+y +yBY SUBSTITUTION
Solve x + y = 7 x = y + 3BY SUBSTITUTION
Solve x + y = 7 x = y + 3BY SUBSTITUTION
(y + 3) + y = 7
Solve x + y = 7 x = y + 3BY SUBSTITUTION
(y + 3) + y = 7
2y + 3 = 7
Solve x + y = 7 x = y + 3BY SUBSTITUTION
(y + 3) + y = 7
2y + 3 = 7
2y = 4
Solve x + y = 7 x = y + 3BY SUBSTITUTION
(y + 3) + y = 7
2y + 3 = 7
2y = 4
y = 2
Solve x + y = 7 x = y + 3BY SUBSTITUTION
(y + 3) + y = 7
2y + 3 = 7
2y = 4
y = 2
x = 5
Solve x + y = 7 x = y + 3BY SUBSTITUTION
(y + 3) + y = 7
2y + 3 = 7
2y = 4
y = 2
x = 5
Solve x + y = 7 x = y + 3BY SUBSTITUTION
Solve x + y = 7 x - y = 3
Solve x + y = 7 x - y = 3
Solve x + y = 7 x - y = 3
Solve x + y = 7 x - y = 3BY ELIMINATION
Solve x + y = 7 x - y = 3+BY ELIMINATION
Solve x + y = 7 x - y = 3+
2x = 10
BY ELIMINATION
Solve x + y = 7 x - y = 3+
2x = 10
x = 5
BY ELIMINATION
Solve x + y = 7 x - y = 3+
2x = 10
x = 5
y = 2
BY ELIMINATION
Solve x + y = 7 x - y = 3+
2x = 10
x = 5
y = 2
BY ELIMINATION
Solve 4x + 3y = 16 2x - 3y = 8
Solve 4x + 3y = 16 2x - 3y = 8+
Solve 4x + 3y = 16 2x - 3y = 8+
6x = 24
Solve 4x + 3y = 16 2x - 3y = 8+
6x = 24 x = 4
Solve 4x + 3y = 16 2x - 3y = 8+
6x = 24 x = 4 y = 0
Solve 4x + 3y = 16 2x - 3y = 8+
6x = 24 x = 4 y = 0
Solve x + 2y = 5 5x - y = 3
Solve x + 2y = 5 5x - y = 3
Solve x + 2y = 5 5x - y = 3
Solve x + 2y = 5 5x - y = 32( )
Solve x + 2y = 5 5x - y = 32( )
x + 2y = 510x - 2y = 6
Solve x + 2y = 5 5x - y = 32( )
x + 2y = 510x - 2y = 6+
Solve x + 2y = 5 5x - y = 32( )
x + 2y = 510x - 2y = 6
11x = 11
+
Solve x + 2y = 5 5x - y = 32( )
x + 2y = 510x - 2y = 6
11x = 11
x = 1
+
Solve x + 2y = 5 5x - y = 32( )
x + 2y = 510x - 2y = 6
11x = 11
x = 1
y = 2
+
Solve x + 2y = 5 5x - y = 32( )
x + 2y = 510x - 2y = 6
11x = 11
x = 1
y = 2
+
Solve x + 2y = 5 5x - y = 3
Solve x + 2y = 5 5x - y = 3
-5( )
Solve x + 2y = 5 5x - y = 3
-5( )
-5x – 10y = -25 5x – y = 3
Solve x + 2y = 5 5x - y = 3
-5( )
-5x – 10y = -25 5x – y = 3
+
Solve x + 2y = 5 5x - y = 3
-5( )
-5x – 10y = -25 5x – y = 3
-11y = -22
+
Solve x + 2y = 5 5x - y = 3
-5( )
-5x – 10y = -25 5x – y = 3
-11y = -22 y = 2
+
Solve x + 2y = 5 5x - y = 3
-5( )
-5x – 10y = -25 5x – y = 3
-11y = -22 y = 2
x = 1
+
Solve x + 2y = 5 5x - y = 3
-5( )
-5x – 10y = -25 5x – y = 3
-11y = -22 y = 2
x = 1
+
Solve 3b + 2c = 46 b + 5c = 11
Solve 3b + 2c = 46 b + 5c = 11-3( )
Solve 3b + 2c = 46 b + 5c = 11-3( )
3b + 2c = 46-3b – 15c = -33
Solve 3b + 2c = 46 b + 5c = 11-3( )
3b + 2c = 46-3b – 15c = -33
+
Solve 3b + 2c = 46 b + 5c = 11-3( )
3b + 2c = 46-3b – 15c = -33
-13c = 13
+
Solve 3b + 2c = 46 b + 5c = 11-3( )
3b + 2c = 46-3b – 15c = -33
-13c = 13 c = -1
+
Solve 3b + 2c = 46 b + 5c = 11-3( )
3b + 2c = 46-3b – 15c = -33
-13c = 13 c = -1
b = 16
+
Solve 3b + 2c = 46 b + 5c = 11-3( )
3b + 2c = 46-3b – 15c = -33
-13c = 13 c = -1
b = 16
+
Solve 3j + 5k = 19 4j - 8k = -4
Solve 3j + 5k = 19 4j - 8k = -4
Solve 3j + 5k = 19 4j - 8k = -4
8( )5( )
Solve 3j + 5k = 19 4j - 8k = -4
8( )5( )
24j + 40k = 15220j – 40k = -20
Solve 3j + 5k = 19 4j - 8k = -4
8( )5( )
24j + 40k = 15220j – 40k = -20
+
Solve 3j + 5k = 19 4j - 8k = -4
8( )5( )
24j + 40k = 15220j – 40k = -20 44j = 132
+
Solve 3j + 5k = 19 4j - 8k = -4
8( )5( )
24j + 40k = 15220j – 40k = -20 44j = 132
j = 3
+
Solve 3j + 5k = 19 4j - 8k = -4
8( )5( )
24j + 40k = 15220j – 40k = -20 44j = 132
j = 3 k = 2
+
Solve 3j + 5k = 19 4j - 8k = -4
8( )5( )
24j + 40k = 15220j – 40k = -20 44j = 132
j = 3 k = 2
+
SOLVE:
1] a + b = 7 2] 2c + 3d = 6 a - b = -3 2c + 5d = 14
3] 2e + f = 10 e - 3f = -2
SOLVE:
1] 2]
3]
4]
(2,5)(2,5) (-3,4)(-3,4)
(4,2)(4,2)
(1 min)PKB (Prior Knowledge Box)
Topic: Systems of Linear Equations
Misconceptions
What do you think you knew but you found was misconception? If you didn’t have any prior knowledge, what did you learn/review today?
Exit Slip-Systems
• Name
• Date
• Period
Find your test key under Week 26. Click on Alg1_9.0exit slipkey. Make sure you show your work!!!!