Post on 03-Aug-2020
Unit 4 – Linear Equations, Inequalities and Functions
Standards addressed in this unit:
1. Solve equations and inequalities arising from a context2. Solve equations and inequalities using algebraic manipulations
(More to come!)
General MathUnit 4 – Day 1
Learning Targets
I can solve equations arising from a context by first drawing a model and then writing an equation to represent the context.
Mathematical Practices
Make sense of problems and persevere in solving themModel with mathematics
Warm UpU4D1
32
4
3
y
xSimplify
Concept Review U4D1
Concept Review U4D1
Concept Review U4D1
Draw a model and solve
Stella has $11 more than Roland. Together they have $159. How much money does Stella have? How much money does Roland have?
ModelingU4D1
Draw a model and solve
Modeling
Jared has twice as many DVDs as Eric. Together they have 51 DVDs. How many DVDs does Jared have? How many DVDs does Eric have?
U4D1
Draw a model and solve
Modeling
The sum of three consecutive integers is 405. What are the three numbers?
U4D1
Draw a model and solve
Modeling
For your birthday you received ten collectable Unicorns from a set of 100. If you use your allowance you can buy 2 more Unicorns every week.
How many weeks until you have collected all 100?
U4D1
YOU TRY!Draw a model and solve
Modeling
A corn plant was 4 inches tall. It grew 1.5 inches a day and is now 22 inches tall. How many days did it take?
U4D1
U4D1 – ICP
Do all BASIC PRACTICE
The odd problems in FURTHER PRACTICE
Pick two from MATH WORK
Pick one from BRAIN WORKS
Independent PracticeU4D1
General MathUnit 4 – Day 2
Learning Targets
I can solve equations using algebraic manipulation
Mathematical Practices
Make sense of problems and persevere in solving themModel with mathematics
U4D2
Bell Work
Get out U4D1 – ICP, make sure it is complete. Circle any problems you want to go over.
U4D2
Warm Up
Kylie is addressing invitations to her party. She has already addressed 17 of them. She finishes the rest of them in 4
hours. If she addressed a total of 81 invitations, how many invitations did she address per hour?
U4D2
Warm UpU4D2
Solving Equations Using Algebra
When we solve an equation using algebra, we want to undo the
operations on the unknown in order to find out what it is.
Remember! Keep the equation balanced by doing the same thing on both sides!!!
Example:
Solve
U4D2
483 x
Explain the opposite of multiplication is division, etc…
Solving Equations Using Algebra
Solve each equation
1.
2.
3.
U4D2
682 y
2039 w
232
p
Do first problem with class, have students do 2 & 3.
Solving Two-Step Equations
What’s the first step in solving this equation? Why?
How about this one? Why?
U4D2
102
8
p
Solving Two-Step Equations
Solve each equation
1.
2.
3.
U4D2
33096 y
863
p
43
10
a
Do first problem with class, have students do 2 & 3.
Solving Multi-Step Equations
Let’s discuss the Distributive Property for a moment…
The Distributive Property says
Simplify
U4D2
)( cba
)3(2 x
Solving Equations with the Distributive Property
What should we do first to solve this equation? Why?
U4D2
15)12(5 x
Explain we need both sides of equation as simplified as possible to make solving easier…
Solving Equations with the Distributive Property
Solve each equation
1.
2.
3.
U4D2
21)4(7 x
15)4(3 x
10)42(55 xx
Independent Practice
U4D2 - ICP
U4D2
General MathU4D3
• Learning Targets: Solve Equations arising from a context.
Solve equations using algebraic manipulation.
Warm Up
Do these problems on your participation page:
1. Simplify 2𝑥3 − 4𝑥𝑦2 + 17𝑥2 − 2𝑥2𝑦
2. Simplify −2𝑝4
−8𝑞2
2
3. Draw a model and solve: You and your friend have $29 for movies and snacks this weekend. You have $7 less than your friend. How much money do you each have?
U4D3
Solving Equations
Follow these steps:
Step 1: Simplify both sides of the equation
This means getting rid of parentheses and combining like terms
Step 2: Get your variable “alone” using the reverse of PEMDAS
U4D3
U4D3
U4D3
Solving Equations
Follow these steps:
Step 1: Simplify both sides of the equation.
This means getting rid of parentheses and combining like terms
IF YOU HAVE VARIABLES ON BOTH SIDES, NEXT:
Step 2: Get all variables to one side of equation.
Step 3: Get your variable alone.
U4D3
U4D3
U4D3
Next Up!
• Writing equations arising from a context!
• Whoopee!
U4D3
WORDS THAT MEAN ADDITION
SUMMORE THAN
PLUSADDED TO
INCREASED BY IN ALLTOTAL
U4D3
WORDS THAT MEAN
SUBTRACTION
MINUS LESS THAN
DECREASED BYDIFFERENCE BETWEEN
HOW MANY FEWER
U4D3
WORDS THAT MEAN MULTIPLICATION
TIMESOF
TWICEPRODUCT OF
IN EACHFOR EVERY
U4D3
WORDS THAT MEAN
DIVISION
QUOTIENTRATIO OF
HOW MANY TIMESINTO HOW MANY
HOW MUCH DID EACH
U4D3
WORDS THAT MEAN
EQUAL
ISTHE SAME ASEQUIVALENT
U4D3
Write an equation and solve. Draw a model if necessary.
Two more than twice a number is 77.
Find the number.
U4D3
Write an equation and solve. Draw a model if necessary.
The length of a rectangle is 50 meters. This is 6 meters more than twice the width. Find the
width of the rectangle.
U4D3
Write an equation and solve. Draw a model if necessary.
Nine less than one-fourth of a number is 6. Find the number
U4D3
You Try!
Write an equation and solve. Draw a model if necessary.
Twelve decreased by 8 times a number is 36. Find the number.
U4D3
Independent Practice
U4D3 – ICP
U4D3