Grade 6 Common Core Math Lessons Mathispower4u Playlist
6.RP Ratios & Proportional Relationships
6.RP.A.1 — Ratio concepts & language
6.RP.A.2 — Unit rates (a/b for a:b)
6.RP.A.3 — Solve with ratio/reasoning (tables, diagrams, equations)
o 6.RP.A.3a — Equivalent ratios; tables; plot & compare
o 6.RP.A.3b — Unit-rate problems (pricing, speed, etc.)
o 6.RP.A.3c — Percent problems (part, whole, %; discount/markup/tax/tip; % change)
- Preliminary Skill
- Video: The Percent Proportion to Solve Percent Problems (No Cross Multiplication)
- Video: Introduction to Proportions and Cross Products
- Video: The Percent Proportion to Solve Percent Problems (Cross Multiplication)
- Video: Solve a Percent Problem Using a Double Number Line
o 6.RP.A.3d — Convert measurement units using ratios
- Video: Unit Conversions Using Equivalent Ratios
- Video: Unit Conversions using Unit Factors
6.NS The Number System
6.NS.A.1 — Interpret & compute fraction ÷ fraction; word problems
- What Does Dividing by a Fraction Mean? Whole Number Divided by Fraction
- What Does Dividing by a Fraction Mean? Fraction Divided by Fraction
- What Does Dividing by a Fraction Mean? Fraction Divided by Fraction (Compare to Trad Method)
- Fraction Division Application: Number of Batches from a Recipe
6.NS.B.2 — Fluently divide multi-digit whole numbers (standard algorithm)
- Long Division: 4 Digit Divided by 2 Digit – No Remainder
- Long Division: 4 Digit Divided by 2 Digit – With Remainder
6.NS.B.3 — Fluently add/subtract/multiply/divide decimals
- Add and Subtract Decimals
- Decimal Division: Decimal Divided by a Decimal with Whole Number Quotient
- Decimal Division: Decimal Divided by a Decimal with a Decimal Quotient
- Decimal App: Find a Total Cost (Multiply and Add Decimals)
- Decimal Division App: Determine the Length of Pieces of Rope (Decimal Divided by a Whole Number)
6.NS.B.4 — GCF & LCM; use distributive property with common factors
- Video: Determining GCF and LCM
- Video: Factor a Sum Using GCF and Distributive Property
- Video: Factor a Difference Using GCF and the Distributive Property
- Video: Application of Factoring a Sum – Gift Bags
6.NS.C.5 — Use positive & negative numbers in context; meaning of 0
- Positive/Negative Integer and Absolute Value App: Vertical Distance Between a Submarine and Bird
- Positive/Negative Integer and Absolute Value App: Rise in Temperature
6.NS.C.6 — Rational numbers on the number line & coordinate plane
o 6.NS.C.6a — Opposite signs → opposite directions; 0 as origin
- Introduction to Opposite Integers
- Using Opposite Integers to Represent Situations and Determining Sums of Opposites
o 6.NS.C.6b — Quadrants; reflections across axes
o 6.NS.C.6c — Locate/plot rational numbers & ordered pairs
- Plotting Decimals on the Number Line
- Ordering Fractions from Least to Greatest by Plotting Fractions on the Number Line
- Identify Coordinates of Points on the Coordinate Plane
- Plotting Points with Integer Coordinates on the Coordinate Plane
- Plotting Points on the Coordinate Plane with Rational Coordinates 1
- Plotting Points on the Coordinate Plane with Rational Coordinates 2
6.NS.C.7 — Order & absolute value of rational numbers
o 6.NS.C.7a — Inequalities as positions on a number line
- Compare the Absolute Value of Integers Using Inequality Symbols
- Compare Integers and Signed Decimals Using Inequality Symbols
- Compare Negative Fractions and Mixed Numbers Using Inequality Symbols
o 6.NS.C.7b — Order statements in real-world contexts
o 6.NS.C.7c — Absolute value as distance/magnitude; interpret in context
- Determine the Difference of a Negative and Positive Account Balance using Absolute Value
- Determine the Difference of Two Negative Temperatures using Absolute Value
o 6.NS.C.7d — Distinguish order vs. absolute-value comparisons
6.NS.C.8 — Graph in all four quadrants; use absolute value for distances
- Plot Points on the Coordinate Plane and Determine the Distance from the Axes
- Plot Points on the Coordinate Plane and Determine the Horizontal and Vertical Distance Between the Points
6.EE Expressions & Equations
6.EE.A.1 — Evaluate numerical expressions with whole-number exponents
- Evaluate Numerical Expressions with Whole Number Exponents
- Evaluate Numerical Expressions Using the Order of Operations
6.EE.A.2 — Write/read/evaluate expressions with variables
o 6.EE.A.2a — Translate words ↔ expressions
o 6.EE.A.2b — Name parts (term, factor, coefficient)
o 6.EE.A.2c — Evaluate at given values; formulas; order of operations
6.EE.A.3 — Use properties to create equivalent expressions
- The Associative Property of Addition and Multiplication
- The Commutative Property of Addition and Multiplication
- Use the Distributive Property to Write Equivalent Expressions
- Simplifying Variable Expressions
6.EE.A.4 — Identify when expressions are equivalent
6.EE.B.5 — What it means to solve; test solutions (substitution)
- Solving Basic Equations and Inequalities by Inspection Only
- Determining if Values are Solutions to Equations and Inequalities
- Determining if Values are Solutions to Equations
6.EE.B.6 — Use variables for unknowns or varying quantities
6.EE.B.7 — Solve x + p = q and px = q (nonnegative rationals)
- Solving One Step Equations with Whole Numbers and Decimals
- Writing and Solving Equations for Real Life Situations
6.EE.B.8 — Write one-variable inequalities; graph solution sets
6.EE.C.9 — Dependent & independent variables; relate tables/graphs to an Equation
- Write an Equation, Make a Table, and Graph to Model a Situation: Earnings
- Write an Equation, Make a Table, and Graph to Model a Situation: Plant Growth
6.G Geometry
6.G.A.1 — Areas of triangles, special quadrilaterals, polygons (compose/decompose)
- Determine the Area of a Pentagon on the Coordinate Plane – Decompose Area
- Determine the Area of a Rhombus on the Coordinate Plane – Decompose Area
6.G.A.2 — Volume of right rectangular prisms (incl. fractional edges); V=lwhV=\ell w h, V=BhV=Bh
6.G.A.3 — Polygons in the coordinate plane; side lengths parallel to axes
6.G.A.4 — Nets of prisms/pyramids; surface area
6.SP Statistics & Probability
6.SP.A.1 — Statistical questions (variability)
6.SP.A.2 — Distributions described by center, spread, shape
6.SP.A.3 — Center vs. variability—what each summarizes
6.SP.B.4 — Dot plots, histograms, box plots
- Create a Dot Plot from Data and Find Mode, Range, Median, and Mean
- Create a Histogram and Analyze Data
6.SP.B.5 — Summarize data in context
o 6.SP.B.5a — Number of observations
o 6.SP.B.5b — Attribute measured & units
o 6.SP.B.5c — Mean/median; IQR/MAD; patterns & outliers
o 6.SP.B.5d — Choose center/variability measures based on shape & context