Unit 4: Linear Equations & Linear Systems

Grade 8 Illustrative Mathematics – Unit 4: Linear Equations and Linear Systems

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Unit Summary for Parents – PDF File

Lesson Topic

IM Lesson

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Class Notes

Lesson Summary & Homework Help

Lesson 1 – Number Puzzles

Lesson 1

 

 

 

Morgan 8.4.1

Lesson 2 – Keeping the Equation Balanced

Lesson 2

 

 

 

Morgan 8.4.2

Lesson 3 –Balanced Moves

Lesson 3

Intro to Equations with variables on both sides

 

Equations with variables on both sides: 20-7x=6x-6

Equations with variables on both sides

 

Morgan 8.4.3

Lesson 4 – More Balanced Moves

Lesson 4

Equations with parentheses

Equations with parentheses

 

Morgan 8.4.4

Lesson 5 – Solving Any Linear Equation

Lesson 5

 

 

 

Morgan 8.4.5

Lesson 6 – Strategic Solving

Lesson 6

 

Equations with variables on both sides: decimals and fractions

 

Equations with parentheses: decimals and fractions

 

Morgan 8.4.6

Extra Practice Linear Equations

 

Sums of consecutive Integers

 

Sum of integers challenge

 

Equation practice with vertical angles

 

Equation practice with complementary angles

 

Equation practice with supplementary angles

Sums of consecutive integers

 

Equation practice with vertical angles

 

Equation practice with angel addition

 

 

Lesson 7 – All, Some, or No Solutions

Lesson 7

Creating an equation with no solutions

 

Creating an equation with infinitely many solutions

Number of solutions to equations challenge

 

Morgan 8.4.7

Lesson 8 – How Many Solutions

Lesson 8

Number of solutions to equations

 

Worked Example: number of solutions to equations

Number of solutions to equations

 

8.4.8 Morgan

Lesson 9 – When Are They the Same

Lesson 9

Age word problem: Imran

 

Age word problem: Ben and William

 

Age word problem: Arman and Diya

Age word problems

 


Quiz 1

 

 

8.4.9 Morgan

Lesson 10 – On or Off the Line?

Lesson 10

 

Solutions of systems of equations

 

8.4.10 Morgan

 

 Part 2

Lesson 11 – On Both of the Lines

Lesson 11

 

 

 

8.4.11 Morgan

 

 Part 2

Lesson 12 – Systems of Equations

Lesson 12

Systems of equations: trolls, tolls (1 of 2)

 

Systems of equations: trolls, tolls (2 of 2)

 

Systems of equations with graphing

 

Systems of equations with graphing: y= 7/5x-5 and y=3/5x-1

Systems of equations with graphing

 

Number of solutions to a system of equations graphically

 

8.4.12 Morgan

 

 Part 2

Lesson 13 – Solving Systems of Equations

Lesson 13

Systems of equations with substitution: y=-1/4x+100 and y=-1/4x+120

 

Number of solutions to a system of equations graphically

Number of solutions to a system of equations algebraically

 

8.4.13 Morgan

 

Part 2

Lesson 14 – Solving More Systems

Lesson 14

Systems of equations with substitution – 1

 

Systems of equations with substitution – 2

 

Systems of equations with substitution - 3

Systems of equations with substitution

 

 

Quiz 2

 

8.4.14 Morgan

Lesson 15 – Writing Systems of Equations

Lesson 15

 

 

 

8.4.15 Morgan

 

 

Lesson 16 – Solving Problems with Systems of Equations

Lesson 16

Systems of equations with word problems: no solution

 

Systems of equations with substitution: coins

Systems of equations word problems

 

8.4.16 Morgan

Unit 4 Review

 

 

Khan Academy Unit 4 Practice Test