8th Grade Math / PRE-ALGEBRA
Overview/Synopsis:
In Grade 8 Pre-Algebra, instructional time should focus on three critical areas:
(1) formulating and reasoning about expressions and equations, including modeling an association in bivariate data with a linear equation, and solving linear equations and systems of linear equations;
(2) grasping the concept of a function and using functions to describe quantitative relationships;
(3) analyzing two- and three-dimensional space and figures using distance, angle, similarity, and congruence, and understanding and applying the Pythagorean Theorem.
Our Units are:
Unit 1 Rigid Transformations and Congruence
Unit 2 Dilations, Similarity, and Introducing Slope
Unit 3 Linear Relationships
Unit 4 Linear Equations and Linear Systems
Unit 5 Functions and Volume
Unit 6 Associations in Data
Unit 7 Exponents and Scientific Notation
Unit 8 Pythagorean Theorem and Irrational Numbers
In Grade 8 Pre-Algebra, instructional time should focus on three critical areas:
(1) formulating and reasoning about expressions and equations, including modeling an association in bivariate data with a linear equation, and solving linear equations and systems of linear equations;
(2) grasping the concept of a function and using functions to describe quantitative relationships;
(3) analyzing two- and three-dimensional space and figures using distance, angle, similarity, and congruence, and understanding and applying the Pythagorean Theorem.
Our Units are:
Unit 1 Rigid Transformations and Congruence
Unit 2 Dilations, Similarity, and Introducing Slope
Unit 3 Linear Relationships
Unit 4 Linear Equations and Linear Systems
Unit 5 Functions and Volume
Unit 6 Associations in Data
Unit 7 Exponents and Scientific Notation
Unit 8 Pythagorean Theorem and Irrational Numbers
Unit 4: Linear Equations and Linear Systems
NOTES/INB:
Equations Packet /Video Tutorials: MathNation
Algebraic equations basics
Variables, expressions, & equations
Testing solutions to equations
Intro to equations
Testing solutions to equations
Why we do the same thing to both sides of an equation
Same thing to both sides of equations
Representing a relationship with an equation
Dividing both sides of an equation
One-step equations intuition
One-step addition & subtraction equations
One-step addition & subtraction equations
One-step subtraction equations
One-step addition & subtraction equations
One-step addition & subtraction equations: fractions & decimals
One-step addition & subtraction equations
One-step addition & subtraction equations: fractions & decimals
One-step multiplication & division equations
One-step division equations
One-step multiplication equations
One-step multiplication & division equations
One-step multiplication & division equations: fractions & decimals
One-step multiplication & division equations
One-step multiplication & division equations: fractions & decimals
Quiz 1
Algebraic equations basics
Why we do the same thing to both sides of an equation
One-step addition & subtraction equations
One-step multiplication & division equations
Two-steps equations intro
Intro to two-step equations
Two-step equations intuition
Worked example: two-step equations
Two-step equations review
Two-step equations
Two-step equation word problems
Two-step equation word problem: computers
Two-step equation word problem: garden
Two-step equation word problem: oranges
Two-step equations word problems
Linear equations with variables on both sides
Why we do the same thing to both sides: Variable on both sides
Intro to equations with variables on both sides
Equations with variables on both sides: 20-7x=6x-6
Equation with variables on both sides: fractions
Equation with the variable in the denominator
Equations with variables on both sides
Equations with variables on both sides: decimals & fractions
Linear equations with parentheses
Equations with parentheses
Multi-step equations review
Equations with parentheses
Equations with parentheses: decimals & fractions
Quiz 2
Two-steps equations intro
Two-step equation word problems
Linear equations with variables on both sides
Linear equations with parentheses
Analyzing the number of solutions to linear equations
Number of solutions to equations
Worked example: number of solutions to equations
Creating an equation with no solutions
Creating an equation with infinitely many solutions
Number of solutions to equations
Number of solutions to equations challenge
Linear equations word problems
Sums of consecutive integers
Sum of integers challenge
Linear equation word problem: saline
Linear equation word problem: sugary drinks
Sums of consecutive integers
Linear equations with unknown coefficients
Linear equations with unknown coefficients
Linear equations with unknown coefficients
Quiz 3
Analyzing the number of solutions to linear equations
Linear equations word problems
Linear equations with unknown coefficients
Unit test
Systems of equations overview
Systems of equations: trolls, tolls (1 of 2)
Systems of equations: trolls, tolls (2 of 2)
Systems of equations with elimination: King's cupcakes
Systems of equations with elimination: potato chips
Systems of equations with substitution: potato chips
Systems of equations number of solutions: fruit prices (1 of 2)
Systems of equations number of solutions: fruit prices (2 of 2)
Systems of equations intro
Systems of equations: trolls, tolls (1 of 2)
Systems of equations: trolls, tolls (2 of 2)
Testing a solution to a system of equations
Systems of equations with graphing: y=7/5x-5 & y=3/5x-1
Systems of equations with graphing: exact & approximate solutions
Systems of equations with graphing
Elimination method for systems of equations
Systems of equations with elimination: King's cupcakes
Systems of equations with elimination: x-4y=-18 & -x+3y=11
Systems of equations with elimination: potato chips
Systems of equations with elimination (and manipulation)
Why can we subtract one equation from the other in a system of equations?
Elimination method review (systems of linear equations)
Systems of equations with elimination
Systems of equations with elimination challenge
Substitution method for systems of equations
Systems of equations with substitution: potato chips
Systems of equations with substitution: -3x-4y=-2 & y=2x-5
Substitution method review (systems of equations)
Systems of equations with substitution
Quiz 1
Systems of equations overview
Systems of equations intro
Elimination method for systems of equations
Substitution method for systems of equations
Number of solutions to systems of equations
Systems of equations number of solutions: fruit prices (1 of 2)
Systems of equations number of solutions: fruit prices (2 of 2)
Solutions to systems of equations: consistent vs. inconsistent
Solutions to systems of equations: dependent vs. independent
Number of solutions to a system of equations
Number of solutions to a system of equations graphically
Number of solutions to a system of equations algebraically
How many solutions does a system of linear equations have if there are at least two?
Number of solutions to system of equations review
Number of solutions to a system of equations graphically
Number of solutions to a system of equations algebraically
Equations Packet /Video Tutorials: MathNation
Algebraic equations basics
Variables, expressions, & equations
Testing solutions to equations
Intro to equations
Testing solutions to equations
Why we do the same thing to both sides of an equation
Same thing to both sides of equations
Representing a relationship with an equation
Dividing both sides of an equation
One-step equations intuition
One-step addition & subtraction equations
One-step addition & subtraction equations
One-step subtraction equations
One-step addition & subtraction equations
One-step addition & subtraction equations: fractions & decimals
One-step addition & subtraction equations
One-step addition & subtraction equations: fractions & decimals
One-step multiplication & division equations
One-step division equations
One-step multiplication equations
One-step multiplication & division equations
One-step multiplication & division equations: fractions & decimals
One-step multiplication & division equations
One-step multiplication & division equations: fractions & decimals
Quiz 1
Algebraic equations basics
Why we do the same thing to both sides of an equation
One-step addition & subtraction equations
One-step multiplication & division equations
Two-steps equations intro
Intro to two-step equations
Two-step equations intuition
Worked example: two-step equations
Two-step equations review
Two-step equations
Two-step equation word problems
Two-step equation word problem: computers
Two-step equation word problem: garden
Two-step equation word problem: oranges
Two-step equations word problems
Linear equations with variables on both sides
Why we do the same thing to both sides: Variable on both sides
Intro to equations with variables on both sides
Equations with variables on both sides: 20-7x=6x-6
Equation with variables on both sides: fractions
Equation with the variable in the denominator
Equations with variables on both sides
Equations with variables on both sides: decimals & fractions
Linear equations with parentheses
Equations with parentheses
Multi-step equations review
Equations with parentheses
Equations with parentheses: decimals & fractions
Quiz 2
Two-steps equations intro
Two-step equation word problems
Linear equations with variables on both sides
Linear equations with parentheses
Analyzing the number of solutions to linear equations
Number of solutions to equations
Worked example: number of solutions to equations
Creating an equation with no solutions
Creating an equation with infinitely many solutions
Number of solutions to equations
Number of solutions to equations challenge
Linear equations word problems
Sums of consecutive integers
Sum of integers challenge
Linear equation word problem: saline
Linear equation word problem: sugary drinks
Sums of consecutive integers
Linear equations with unknown coefficients
Linear equations with unknown coefficients
Linear equations with unknown coefficients
Quiz 3
Analyzing the number of solutions to linear equations
Linear equations word problems
Linear equations with unknown coefficients
Unit test
Systems of equations overview
Systems of equations: trolls, tolls (1 of 2)
Systems of equations: trolls, tolls (2 of 2)
Systems of equations with elimination: King's cupcakes
Systems of equations with elimination: potato chips
Systems of equations with substitution: potato chips
Systems of equations number of solutions: fruit prices (1 of 2)
Systems of equations number of solutions: fruit prices (2 of 2)
Systems of equations intro
Systems of equations: trolls, tolls (1 of 2)
Systems of equations: trolls, tolls (2 of 2)
Testing a solution to a system of equations
Systems of equations with graphing: y=7/5x-5 & y=3/5x-1
Systems of equations with graphing: exact & approximate solutions
Systems of equations with graphing
Elimination method for systems of equations
Systems of equations with elimination: King's cupcakes
Systems of equations with elimination: x-4y=-18 & -x+3y=11
Systems of equations with elimination: potato chips
Systems of equations with elimination (and manipulation)
Why can we subtract one equation from the other in a system of equations?
Elimination method review (systems of linear equations)
Systems of equations with elimination
Systems of equations with elimination challenge
Substitution method for systems of equations
Systems of equations with substitution: potato chips
Systems of equations with substitution: -3x-4y=-2 & y=2x-5
Substitution method review (systems of equations)
Systems of equations with substitution
Quiz 1
Systems of equations overview
Systems of equations intro
Elimination method for systems of equations
Substitution method for systems of equations
Number of solutions to systems of equations
Systems of equations number of solutions: fruit prices (1 of 2)
Systems of equations number of solutions: fruit prices (2 of 2)
Solutions to systems of equations: consistent vs. inconsistent
Solutions to systems of equations: dependent vs. independent
Number of solutions to a system of equations
Number of solutions to a system of equations graphically
Number of solutions to a system of equations algebraically
How many solutions does a system of linear equations have if there are at least two?
Number of solutions to system of equations review
Number of solutions to a system of equations graphically
Number of solutions to a system of equations algebraically
Unit 3: Linear Relationships
NOTES/INB:
Graphing proportional relationships:
HOMEWORK/CLASSWORK/ASSIGNMENTS (UNIT 3 ONLY):
11/15: QUIZIZZ: 2 assignments
Graphing proportional relationships:
- Rates & proportional relationships example
- Rates & proportional relationships: gas mileage
- Graphing proportional relationships: unit rate
- Graphing proportional relationships from a table
- Graphing proportional relationships from an equation
- Intro to slope
- Slope formula
- Slope & direction of a line
- Positive & negative slope
- Worked example: slope from graph
- Slope of a line: negative slope
- Worked example: slope from two points
- Comparing linear functions: equation vs. graph
- Comparing linear functions: table vs. graph
- Comparing linear functions: table vs. graph
- Comparing linear functions word problem: climb
- Comparing linear functions word problem: walk
- Comparing linear functions word problem: work
HOMEWORK/CLASSWORK/ASSIGNMENTS (UNIT 3 ONLY):
11/15: QUIZIZZ: 2 assignments
Unit 2: Dilations, Similarity, Slope
NOTES/INB:
HOMEWORK/CLASSWORK/ASSIGNMENTS (UNIT 2 ONLY):
- 9/28: Set up notebook for Unit 2. Fresh start for test grade. ALL Unit 1 notes will be counted as bonus if completed. Vocabulary on title page to date: scale factor, dilation, congruent, similar, indirect measurement, like terms
- 10/2: VIDEOS FOR REVIEW-
- Slope from a graph videos:
- Slope from 2 points & a table videos:
HOMEWORK/CLASSWORK/ASSIGNMENTS (UNIT 2 ONLY):
- 10/1 Speed Drill - +- Integer Problems
- 10/2 HW 5: Triangles-angles & classifying ws
- 10/3 Take Home Quiz - Due FRIDAY 10/6
- 10/12 (DUE 10/15 by 11:30pm) Slope Quizizz / INTEGER QUIZIZZ
Unit 1: Rigid Transformations & Congruence (Test 9/26 & 9/27)
8/22: Intro to Transformations
8/30: How to plot a point review , Coordinate Plane Vocabulary
8/30: Transformation Vocabulary Flashcards , Quizlet Set 2 ,
9/4: Video version of transformation notes
9/7: Transformations Video
9/8: Transformations "Cheat" Sheet
HOMEWORK/CLASSWORK/ASSIGNMENTS (UNIT 1 ONLY)
8/24 - 8/27: Pre-algebra Packet
KHAN ACADEMY: Transformations Videos & Practice (Translations, Reflections, Rotations)
8/30: How to plot a point review , Coordinate Plane Vocabulary
8/30: Transformation Vocabulary Flashcards , Quizlet Set 2 ,
9/4: Video version of transformation notes
9/7: Transformations Video
9/8: Transformations "Cheat" Sheet
HOMEWORK/CLASSWORK/ASSIGNMENTS (UNIT 1 ONLY)
8/24 - 8/27: Pre-algebra Packet
KHAN ACADEMY: Transformations Videos & Practice (Translations, Reflections, Rotations)