Unit 7 Linear Equations
& Linear Systems
Accelerated Lesson
( Note, some activities are marked "OPTIONAL" in the student workbook to meet the accelerated pace.)
Standards
Learning Targets
Additional Resources
1
I can represent balanced hangers with equations.
I can add or remove blocks from a hanger and keep the hanger balanced.
I can add, subtract, multiply, or divide each side of an equation by the same expression to get a new equation with the same solution.
Keeping the Equation Balanced
Digital Manipulative
Khan Academy Video
YouTube Videos
Representing and Solving Equations with Hanger Models
Multi-Step Equations with Distributive Property
Khan Academy Practice
Identify Equations from Visual Models (Hanger Diagrams)
Balanced Moves
Khan Academy Videos
Solving Equation with Variable on Both Sides
Equations with Variables on Both Sides 2
Khan Academy Practice
Equations with Variables on Both Sides
Video Lesson Summary: Solving Linear Equations in One Variable From Illustrative Mathematics
2
I can make sense of multiple ways to solve an equation.
Khan Academy Video
Khan Academy Practice
Video Lesson Summary: Solving Linear Equations in One Variable From Illustrative Mathematics
3
I can solve an equation where the variable appears on both sides.
I can solve linear equations in one variable.
Solving Any Linear Equation
Khan Academy Videos
Solving and Equation with Variables on Both Sides
Equations with Variables on Both Sides
Solving Equations with the Distributive Property
IXL Math
Solve Equations with Variables on Both Sides
Strategic Solving
Khan Academy Practice
Equations with Variables on Both Sides: Decimals and Fractions
Equations with Parenthesis: Decimals and Fractions
IXL Math
Solve Equations - Mixed Review
Video Lesson Summary: Solving any Linear Equation From Illustrative Mathematics
4
I can determine whether an equation has no solutions, one solution, or infinitely many solutions.
I can solve equations with different numbers of solutions.
All, Some, or No Solutions
Khan Academy Videos
Equation with Infinite Solutions
Khan Academy Practice
Number of Solutions to Equations Challenges
How Many Solutions?
Khan Academy Videos
Number of Solutions to Equations Example
Khan Academy Practice
Number of Solutions to Equations
Video Lesson Summary: Equations with Different Numbers of Solutions From Illustrative Mathematics
5
I can use an expression to find when two things, like height, are the same in a real-world situation.
I can interpret ordered pairs that are solutions to an equation.
I can identify ordered pairs that are solutions to an equation.
When are They the Same?
Khan Academy Videos
Age Word Problem: Ben & William
Age Word Problem: Arman & Diya
Khan Academy Practice
On or Off the Line?
Khan Academy Practice
Solutions of Systems of Equations
Video Lesson Summary: Equations with Different Numbers of Solutions From Illustrative Mathematics
Video Lesson Summary: Systems of Equations From Illustrative Mathematics
6
I can use graphs to find an ordered pair that two real-world situations have in common.
7
I can explain the solution to a system of equations in a real-world context.
I can explain what a system of equations is.
I can make graphs to find an ordered pair that two real-world situations have in common.
I can graph a system of equations.
I can solve systems of equations using algebra.
Systems of Equations
Khan Academy Videos
Setting Up System of Equations
Systems of Equations Graphically
Khan Academy Practice
Systems of Equations with Graphing
Number of Solutions to Systems of Equations Graphically
Digital Manipulative
Solving Systems of Equations
Khan Academy Videos
Systems of Equations with Substitution 6
Number of Systems to a Solution
Digital Manipulative
13.2: Matching Graphs to Systems
13.3: Different Types of Systems
Khan Academy Practice
Number of Solutions to a Systems of Equations Graphically
Video Lesson Summary: Systems of Equations From Illustrative Mathematics
Video Lesson Summary: Solving Systems of Equations From Illustrative Mathematics
8
I can use a system of equations to represent a real-world situation and answer questions about the situation.
9
I can solve inequalities and know when to flip the sign.
I can determine when an inequality has no solution or infinite solutions.
I can solve inequalities when there are variables on both sides and graph my answer on a number line.
Is it True?
Khan Academy Videos
Math is Fun
Inequalities Practice
Khan Academy Video
IXL Math