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6th Grade
Topics:
1. Whole Number Operations
2. Solving Equations
3. Decimals
4. Number Theory / Fractions
5. Fraction Operations
6. Rates and Proportions
7. Percents
8. Data/Statistics
9. Geometry
10. Integers on the XY-Plane
11. Functions
Topic 1: Whole Number Operations
Skill #1: Understanding Place Value
Skill #2: Multi-Digit Multiplication
Skill #3: Long Division
Skill #4: Expressing Exponents
Skill #5: Order of Operations
Topic 2: Solving Equations
Skill #1: Understanding Properties of Equality
Skill #2: Inverse Operations (+/–)
Skill #3: Inverse Operations (x/÷)
Skill #4: 1-Step Equations
Skill #5: 2-Step Equations
Topic 3: Decimals
Skill #1: Decimal Place Values
Skill #2: Ordering/Arranging Decimals
Skill #3: Decimal Addition/Subtraction (+/-)
Skill #4: Decimal Multiplication/Division (x/÷)
Skill #5: Decimal Equations
Topic 4: Number Theory / Fractions
Skill #1: Primes and Factorization
Skill #2: Greatest Common Factors with 2 or more numbers
Skill #3: Equivalent/Simplifying Fractions
Skill #4: Converting Decimals and Fractions
Skill #5: Lowest Common Multiples with 2 or more numbers
Skill #6: Ordering/Arranging Fractions
Topic 5: Fraction Operations
Skill #1: Adding/Subtracting Fractions
Skill #2: Regrouping when Subtracting Mixed #s
Skill #3: Multiplying/Dividing Mixed Numbers
Skill #4: Fraction Equations
Topic 6: Ratios and Proportions
Skill #1: Setting up Ratios
Skill #2: Unit Rates
Skill #3: Rates on Tables and Planes
Skill #4: Proportions
Skill #5: Converting Units
Topic 7: Percents
Skill #1: Percent-Decimal-Fraction Conversions
Skill #2: Percent of a Number
Skill #3: Taxes, Tips, and Discounts
Skill #4: Percent x Whole = Part
Topic 8: Data/Statistics
Skill #1: Measures of Central Tendency - Mean & Median
Skill #2: Measures of Variability - Range, IQR
Skill #3: Data Displays - Box-and-Whisker Plots, Frequency Tables, and more.
Skill #4: Describing Data
Topic 9: Geometry
Skill #1: Perimeters with Fractional Edges
Skill #2: Areas with Fractional Edges
Skill #3: Composite/Compound Figures
Skill #4: Volumes
Skill #5: Surface Area
Topic 10: Integers on the XY-Plane
Skill #1: Integers on the XY-Plane
Skill #2: Arranging/Ordering Negative Integers
Skill #3: Graphing/Plotting Points on XY-Plane
Skill #4: Finding Distances Between Points
Skill #5: Transformations on Coordinate Plane
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7th Grade
Topics:
1. Algebraic Thinking
2. Negative Integers
3. Negative Decimals
4. Negative Fractions
5. Proportions and Similarity
6. Graphing and Slopes
7. Equations and Inequalities
8. Percent Applications
9. Geometry Intro
10. Probability
Topic 1: Algebraic Thinking
Skiill #1: Order of Operations
Skill #2: Properties of Equality/Inverse Operations
Skill #3: Substitution
Skill #4: Translating Verbal Expressions
Skill #5: Combining Like Terms
Topic 2: Negative Integers
Skill #1: Absolute Value/Ordering Integers
Skill #2: Adding/Subtracting Negatives
Skill #3: Multiplying/Dividing Negatives
Skill #4: Substituting Negatives
Skill #5: Integer Equations
Topic 3: Negative Decimals
Skill #1: Decimals on a Number Line
Skill #2: (+/-) Decimal Operations
Skill #3: (x/÷) Decimal Operations
Skill #4: Decimal Equations
Skill #5: Decimals in Geometry
Topic 4: Negative Fractions
Skill #1: Adding/Subtracting Fractions
Skill #1.5: Regrouping Mixed Numbers
Skill #2: Multiplying/Dividing Mixed Numbers
Skill #3: Fraction Equations with Negatives/Parentheses
Skill #4: Fractions in Geometry
Topic 5: Proportions/Similarity
Skill #1: Rates/Proportional Relationships
Skill #2: Proportion Tables
Skill #3: Solving Proportions
Skill #4: Similar Figures
Skill #5: Scale Drawing/Models/Scale Factors
Topic 6: Graphing and Slopes
Skill #1: Interpreting the Coordinate Plane
Skill #2: Slopes/Slope Formula
Skill #3: Direct Variation
Skill #4: Interpreting Points/Slopes
Topic 7: Equations and Inequalities
Skill #1: Solving 1-step Equations
Skill #2: Solving 2-step Equations
Skill #3: Multi-step Equations
Skill #4: Variables on Both Sides
Skill #5: Solving/Graphing (+/-) Inequalities
Skill #6: Solving/Graphing (x/÷) Inequalities
Topic 8: Percent Applications
Skill #1: Percent, Decimal, Fraction Conversions
Skill #2: Estimating Percents (Taxes, tips, discounts)
Skill #3: Percent of a Number
Skill #4: Percent Change
Skill #5: Commission/Percent Applications
Skill #6: Simple Interest (I=Prt)
Skill #7: Finding the Whole (given a part)
Topic 9: Geometry Intro
Skill #1: Point, Line, Plane
Skill #2: Angles and Congruence
Skill #3: Types of Lines
Skill #4: Circles
Skill #5: Angle Relationships
Skill #6: 3D Figure-Cutting
Topic 10: Probability
Skill #1: Chances, Odds of Winning
Skill #2: Number of Possible Combos
Skill #3: Permutations, Combinations, and Factorials
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8th Grade
Topics:
1. 0/Integer Exponents
2. Rational Numbers
3. Multi-step Equations
4. Functions and Graphs
5. Roots and Irrational Numbers
6. Transformations
7. Systems of Equations
8. Geometric Relationships
Topic 1: 0/Integer Exponents
Skill #1: 0/Negative Exponents
Skill #2: Exponent Operation Properties
Skill #3: Scientific Notation
Skill #4: Scientific Operations
Topic 2: Rational Numbers
Skill #1: Converting Fractions to Terminating Decimals
Skill #2: Fraction/Decimal Operations
Skill #3: Fraction/Decimal Equations
Skill #4: Converting Fractions to Repeating Decimals
Topic 3: Equations and Expressions
Skill #1: Substitution
Skill #2: Combining Like Terms/Distribution
Skill #3: 2-step Equations
Skill #4: Multi-step and Parenthetical Equations
Topic 4: Functions and Graphs
Skill #1: Evaluating Functions (Input/Output)
Skill #2: Graphing usig a table
Skill #3: Graphing using Slope-Intercept Form
Skill #4: Slope Formula
Skill #5: Point-Slope Form
Skill #6: Solving Systems of Equations by Graphing
Topic 5: Roots and Irrational Numbers
Skill #1: Irrational #s + Estimating Square Roots
Skill #2: Determine if numbers are Rational,
Irrational, or Complex
Skill #3: Simplifying Irrational Numbers
Skill #4: Pythagorean Theorem/Distance Formula
Topic 6: Proportions and Transformations
Skill #1: Ratios/Rates/Unit Rates
Skill #2: Proportional/Similar Figures
Skill #3: Translations and Reflections
Skill #4: Dilations and Rotations
Topic 7: Systems of Equations
Skill #1: Simplifying Expressions
Skill #2: Multi-step Equations
(Distributive/Rational Expressions)
Skill #3: Variables on Both Sides
Skill #4: Solving Systems by Substitution
Skill #5: Solving Systems by Elimination
Topic 8: Geometric Relationships
Skill #1: Angle Relationship (Vertical, Linear Pairs...)
Skill #2: Lines/Parallelism
Skill #3: Triangle, Theorems
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