Grade 6-Math

Grade 6 | Subtraction

☐ Understand what is meant by the tens complement, one hundreds complement etc of a
whole number; and use the method of subtraction by addition.
☐ What Makes 10?
☐ Subtraction by Addition
☐ Tens Complement

Grade 6 | Multiplication

☐ Define and identify the zero property of multiplication
☐ Zero Product Property
☐ Real Number Properties
☐ Multiplying By Zero

Grade 6 | Numbers

☐ Read and write whole numbers to trillions
☐ Place Value
☐ Definition of Whole Number
☐ Trillion Definition
☐ Activity: Count to a Billion

☐ Define absolute value and determine the absolute value of rational numbers (including
positive and negative)
☐ Absolute Value
☐ Absolute Value Definition
☐ Number Line

☐ Locate rational numbers on a number line (including positive and negative)
☐ Number Line
☐ Rational Numbers
☐ Rational Number Definition
☐ Fraction Number Line
☐ Zoomable Number Line

☐ Order rational numbers (including positive and negative)
☐ Equal Less and Greater Than Symbols
☐ Definition of Ordering
☐ Comparing Fractions
☐ Compare Fractions
☐ Ordering Numbers
☐ Ordering Game
☐ Ordering Decimals

☐ Define and identify the commutative and associative properties of addition and multiplication
☐ Commutative Associative and Distributive Laws
☐ Smart Blocks
☐ Definition of Associative Law

☐ Definition of Commutative Law
☐ Activity: Commutative Associative and Distributive
☐ Real Number Properties

☐ Evaluate numerical expressions using order of operations (may include exponents of two
and three)
☐ Order of Operations - BODMAS
☐ Order of Operations - PEMDAS
☐ Definition of Order of Operations
☐ Order of Operations Calculator
☐ Exponents

☐ Define and identify the distributive property of multiplication over addition
☐ Commutative Associative and Distributive Laws
☐ Definition of Distributive Law
☐ Activity: Commutative Associative and Distributive
☐ Real Number Properties

☐ Define and identify the identity and inverse properties of addition and multiplication
☐ Inverse
☐ Reciprocal
☐ Definition of Additive Identity
☐ Definition of Multiplicative Identity
☐ Definition of Inverse
☐ Definition of Inverse Operation
☐ Real Number Properties
☐ Reciprocal In Algebra
☐ Reciprocal of a Fraction

Grade 6 | Decimals

☐ Represent fractions as terminating or repeating decimals
☐ Converting Fractions to Decimals
☐ Recurring Decimal Definition
☐ Does 0.999... equal 1?
☐ Terminating Decimal Definition

☐ Use a variety of strategies to add, subtract, multiply, and divide decimals to millionths
☐ Adding Decimals
☐ Subtracting Decimals
☐ Multiplying Decimals
☐ Multiplying Decimals Animations
☐ Dividing Decimals
☐ Dividing Decimals Animations
☐ Decimal Worksheets

Grade 6 | Fractions

☐ Add and subtract fractions with unlike denominators

☐ Equivalent Fractions
☐ Simplifying Fractions
☐ Adding Fractions
☐ Subtracting Fractions
☐ Least Common Denominator
☐ Common Denominator
☐ Adding and Subtracting Mixed Fractions
☐ Fraction Worksheets
☐ Using Rational Numbers

☐ Multiply, and divide fractions with unlike denominators.
☐ Simplifying Fractions
☐ Reciprocal
☐ Dividing Fractions
☐ Multiplying Fractions
☐ Fraction Worksheets
☐ Using Rational Numbers
☐ Reciprocal of a Fraction

☐ Multiply and divide mixed fractions with unlike denominators
☐ Mixed Fractions
☐ Dividing Fractions
☐ Multiplying Mixed Numbers
☐ Definition of Mixed Fraction
☐ Reciprocal
☐ Reciprocal of a Fraction

☐ Identify the multiplicative inverse (reciprocal) of a number
☐ Inverse
☐ Reciprocal
☐ Reciprocal of a Fraction
☐ Reciprocal Definition

☐ Find multiple representations of rational numbers (fractions, decimals, and percents 0 to
100)
☐ Convert Decimals to Fractions
☐ Convert Decimals to Percents
☐ Converting Fractions to Decimals
☐ Convert Fractions to Percents
☐ Convert Percents to Decimals
☐ Decimals Fractions and Percentages
☐ Rational Numbers
☐ Convert Percents to Fractions
☐ Rational Number Definition

Grade 6 | Percentages

☐ Read, write, and identify percents of a whole (0% to 100%)

☐ Decimals Fractions and Percentages
☐ Introduction to Percents
☐ Definition of Percent

☐ Solve percent problems involving percent, rate, and base
☐ Introduction to Percents
☐ Percentage Calculator
☐ Test Your Percentages
☐ Introduction to Interest
☐ Percent Worksheets
☐ Definition of Interest Rate

Grade 6 | Ratios

☐ Solve simple proportions within context
☐ Ratios
☐ Proportions
☐ Ratio - Make Some Chocolate Crispies
☐ The Herd of Camels Puzzle
☐ The Herd of Camels - Solution
☐ Definition of Ratio
☐ Ratio - Chocolate Crispies Recipe
☐ Definition of Proportion

☐ Verify the proportionality using the product of the means equals the product of the extremes
☐ Ratios
☐ Proportions
☐ Cross Multiply

☐ Understand the concept of ratio
☐ Ratios
☐ Ratio - Make Some Chocolate Crispies
☐ Ratio - Chocolate Crispies Recipe
☐ Definition of Ratio

☐ Express equivalent ratios as a proportion
☐ Ratios
☐ Definition of Ratio
☐ Ratio - Chocolate Crispies Recipe
☐ Ratio - Make Some Chocolate Crispies
☐ Definition of Proportion
☐ Proportions

☐ Distinguish the difference between rate and ratio
☐ Definition of Ratio
☐ Definition of Annual Percentage Rate

☐ Solve proportions using equivalent fractions

☐ Equivalent Fractions
☐ Definition of Equivalent Fractions
☐ Definition of Proportion
☐ Proportions

Grade 6 | Measurement

☐ Measure capacity and calculate volume of a rectangular prism
☐ Volume of a Cuboid
☐ Cuboids Rectangular Prisms and Cubes
☐ Prisms with Examples
☐ Pouring Liquid
☐ Metric Volume

☐ Identify metric units of capacity (milliliters, liters)
☐ Measuring Metrically with Maggie
☐ Metric Volume
☐ Definition of Capacity
☐ Definition of Litre | Liter
☐ Millilitre | Milliliter Definition
☐ Activity: Discover Capacity

☐ Identify equivalent metric units of capacity (milliliters to liters and liters to milliliters; or vice
versa)
☐ Metric Volume
☐ Unit Converter
☐ Measuring Metrically with Maggie

☐ Determine the tools and techniques required to measure with an appropriate level of
precision: capacity (metric units)
☐ Accuracy and Precision
☐ Metric Volume
☐ Activity: Discover Capacity

☐ Determine personal references for capacity (metric units)
☐ Metric Volume
☐ Activity: Discover Capacity
☐ Measuring Metrically with Maggie
☐ Metric System of Measurement
☐ Activity: Personal Measures

☐ Understand conversion of measurements
☐ Unit Converter
☐ Metric Area
☐ Metric Volume
☐ Metric Length
☐ Metric Mass
☐ Conversion of Temperature - Celsius to Fahrenheit

☐ Convert from degrees Celsius to degrees Fahrenheit and vice versa
☐ Measuring Metrically with Maggie
☐ Introduction to US Standard Units
☐ Interactive Thermometer
☐ Definition of Temperature
☐ Definition of Thermometer
☐ Definition of Fahrenheit
☐ Definition of Celsius
☐ Conversion of Temperature - Celsius to Fahrenheit

☐ Identify US standard units of capacity (fluid ounces, cups, pints, quarts, and gallons)
☐ Measuring Cups
☐ US Standard Volume
☐ Introduction to US Standard Units
☐ Definition of US Standard Units
☐ Definition of Capacity
☐ Activity: Discover Capacity
☐ Pint Definition
☐ Fluid Ounce Definition

☐ Identify equivalent US standard units of capacity (fluid ounces to cups, cups to pints, pints to
quarts, and quarts to gallons; or vice versa)
☐ Introduction to US Standard Units
☐ Measuring Cups
☐ US Standard Volume
☐ Unit Converter

☐ Determine the tools and techniques required to measure with an appropriate level of
precision: capacity (US standard units)
☐ US Standard Volume
☐ Accuracy and Precision
☐ Activity: Discover Capacity

☐ Determine personal references for capacity (US standard units)
☐ US Standard Volume
☐ Activity: Discover Capacity
☐ Introduction to US Standard Units
☐ Activity: Personal Measures

Grade 6 | Time

☐ Understand Leap Years
☐ Leap Years
☐ Definition of Leap Year
☐ Introduction to Days Weeks Months and Years
☐ Years
☐ 12-Month Calendar

☐ Understand AD and BC

☐ AD and BC

☐ Know the twenty-four hour clock and how to convert between the twenty-four hour clock and
AM/PM time.
☐ Definition of AM
☐ Definition of PM
☐ Definition of Twelve-Hour Clock
☐ Definition of Twenty-Four Hour Clock

Grade 6 | Geometry (Plane)

☐ Calculate the length of corresponding sides of similar triangles (or other simple similar
shapes), using proportional reasoning
☐ Similar Definition
☐ Similar
☐ Similar Triangles
☐ How To Find if Triangles are Similar
☐ Proportions

☐ Calculate the area of basic polygons drawn on a coordinate plane (rectangles and shapes
composed of rectangles having sides with integer lengths)
☐ Area of Irregular Polygons
☐ Area of Circle Triangle Square Rectangle Parallelogram Trapezium Ellipse and Sector
☐ Area Calculator
☐ Activity: Garden Area
☐ What is Area?
☐ Area of Polygon by Drawing
☐ Interactive Polygons

☐ Determine the areas of triangles and quadrilaterals (squares, rectangles, parallelograms,
rhombi, and trapezoids) and develop formulas
☐ Area of Circle Triangle Square Rectangle Parallelogram Trapezium Ellipse and Sector
☐ Area Calculator
☐ Triangles - Equilateral Isosceles and Scalene

☐ Use a variety of strategies to find the area of regular and irregular polygons
☐ Area of Circle Triangle Square Rectangle Parallelogram Trapezium Ellipse and Sector
☐ Area of Irregular Polygons
☐ Polygons
☐ Interactive Polygons
☐ Regular Polygon Definition
☐ Definition of Irregular Polygon
☐ Area of Polygon by Drawing
☐ Area Calculator

☐ Identify radius, diameter, chords and central angles of a circle
☐ Circle
☐ Radius Definition
☐ Definition of Diameter

☐ Definition of Chord
☐ Definition of Center | Centre
☐ Circle Sector and Segment

☐ Understand the relationship between the diameter and radius of a circle
☐ Circle
☐ Radius Definition
☐ Definition of Diameter
☐ Activity: Tomatoes for the Garden
☐ Activity: The Olympic Athletics Track

☐ Determine the area and circumference of a circle, using the appropriate formula
☐ Pi
☐ Area of Circle Triangle Square Rectangle Parallelogram Trapezium Ellipse and Sector
☐ Area Calculator
☐ Circle
☐ Perimeter
☐ Activity: The Olympic Athletics Track
☐ Area of a Circle

☐ Calculate the area of a sector of a circle, given the measure of a central angle and the radius
of the circle
☐ Circle
☐ Area of Circle Triangle Square Rectangle Parallelogram Trapezium Ellipse and Sector
☐ Circle Sector and Segment
☐ Area Calculator
☐ Activity: The Olympic Athletics Track
☐ Area of a Circle

☐ Understand the relationship between the circumference and the diameter of a circle
☐ Circle
☐ Pi
☐ Activity: Find an Approximate Value For Pi
☐ Activity: The Olympic Athletics Track
☐ Perimeter

☐ Determine the area of an ellipse using the appropriate formula
☐ Area of Circle Triangle Square Rectangle Parallelogram Trapezium Ellipse and Sector
☐ Area Calculator
☐ Ellipse
☐ Definition of Ellipse

Grade 6 | Geometry (Solid)

☐ Determine the volume of rectangular prisms (cuboids) by counting cubes and develop the
formula
☐ Volume of a Cuboid
☐ Play Count the 3D Blocks
☐ Definition of Rectangular Prism

☐ Cuboids Rectangular Prisms and Cubes
☐ Spinning Cube

Grade 6 | Algebra

☐ Use substitution to evaluate algebraic expressions (may include exponents of one, two and
three)
☐ Substitution
☐ Exponents
☐ Activity: Soup Can

☐ Solve and explain two-step equations involving whole numbers using inverse operations
☐ Inverse
☐ Algebra Introduction: Multiplication
☐ Definition of Inverse
☐ Definition of Inverse Operation
☐ Definition of Additive Inverse
☐ Reciprocal Definition
☐ Introduction to Algebra
☐ Balance when Adding and Subtracting

☐ Evaluate formulas for given input values (circumference, area, volume, distance,
temperature, interest, etc.)
☐ Equations and Formulas
☐ Introduction to Interest
☐ Conversion of Temperature - Celsius to Fahrenheit

Grade 6 | Exponents

☐ Represent repeated multiplication in exponential form
☐ Exponents
☐ Index Notation - Powers of 10
☐ Laws of Exponents

☐ Represent exponential form as repeated multiplication
☐ Exponents
☐ Index Notation - Powers of 10
☐ Laws of Exponents

☐ Evaluate expressions having exponents where the power is an exponent of one, two, or
three
☐ Exponents
☐ Power Definition
☐ Index Notation - Powers of 10

Grade 6 | Coordinates

☐ Identify and plot points in all four quadrants
☐ Cartesian Coordinates

☐ Interactive Cartesian Coordinates
☐ Tyrannosaurus Rex Picture by Plotting Coordinates
☐ Quadrant
☐ Definition of Point
☐ Hit the Coordinate
☐ Coordinates and the 4 Quadrants
☐ Point
☐ Alien Mask From Coordinates
☐ Diplodocus Using Coordinates

Grade 6 | Linear Equations

☐ Translate two-step verbal expressions into algebraic expressions
☐ Algebra Introduction: Multiplication
☐ Introduction to Algebra

☐ Translate two-step verbal sentences into algebraic equations
☐ Add Two Numbers and the Answer is Always 1089
☐ Why the Answer is Always 1089
☐ Algebra Introduction: Multiplication
☐ Introduction to Algebra

Grade 6 | Data

☐ Develop the concept of sampling when collecting data from a population and decide the best
method to collect data for a particular question
☐ How to Do a Survey
☐ Sample Definition
☐ Random Sample Definition
☐ Population Definition
☐ What is Data?
☐ Survey Questions
☐ Showing the Results of a Survey
☐ Activity: Lengths of Leaves
☐ Activity: Estimation

☐ Record data in a frequency table
☐ Showing the Results of a Survey
☐ Random Words
☐ Frequency Distribution
☐ Activity: An Experiment with a Die
☐ Activity: An Experiment with Dice
☐ Activity: Random, or Not?
☐ Activity: Lengths of Leaves

☐ Construct Venn diagrams to sort data
☐ Sets and Venn Diagrams

☐ Determine and justify the most appropriate graph to display a given set of data (pictograph,
bar graph, line graph, histogram, or circle graph)
☐ Bar Graphs
☐ Dot Plots
☐ Data Graphs
☐ Showing the Results of a Survey
☐ Pictographs
☐ Pie Chart
☐ Line Graphs
☐ Histograms
☐ Frequency Histogram Definition
☐ Make a Bar Graph

☐ Determine the mean, mode and median for a given set of data
☐ The Mean Machine
☐ How to Calculate the Mean Value
☐ How to Find the Median Value
☐ How to Calculate the Mode or Modal Value
☐ Mean Definition
☐ Median Definition
☐ Definition of Mode
☐ Finding a Central Value

☐ Determine the range for a given set of data
☐ Definition of Range
☐ The Range

☐ Read and interpret graphs
☐ Pictographs
☐ Pie Chart
☐ Histograms
☐ Bar Graphs
☐ Line Graphs

☐ Justify predictions made from data
☐ How to Do a Survey

☐ Record and interpret data using a stem and leaf plot.
☐ Stem and Leaf Plots

☐ Calculate the relative frequencies from a frequency table.
☐ Relative Frequency
☐ Activity: Random, or Not?
☐ Activity: Estimation
☐ Definition of Relative Frequency

☐ Read and interpret frequency tables
☐ Frequency Distribution

☐ Grouped Frequency Distribution
☐ Activity: Lengths of Leaves

Grade 6 | Estimation

☐ Estimate volume, area, and circumference
☐ Estimation
☐ Definition of Estimate
☐ Metric System of Measurement
☐ Introduction to US Standard Units
☐ Pouring Liquid
☐ Activity: Garden Area
☐ Activity: Investigating Solids
☐ Definition of Estimation

☐ Justify the reasonableness of estimates
☐ Estimation
☐ Estimation Tips and Tricks
☐ Visual Estimation
☐ Band around the Earth Puzzle

☐ Estimate a percent of quantity (0% to 100%)
☐ Estimation Games
☐ Definition of Estimation
☐ Definition of Estimate
☐ Estimation
☐ Introduction to Percents
☐ Estimation Tips and Tricks

☐ Justify the reasonableness of answers using estimation (including rounding)
☐ Estimation Tips and Tricks
☐ Rounding Numbers
☐ Definition of Estimation
☐ Definition of Estimate
☐ Visual Estimation
☐ Estimation
☐ Estimation Games

Grade 6 | Probability

☐ Determine the probability of dependent events
☐ Probability
☐ Probability: Types of Events
☐ Conditional Probability

☐ Determine the number of possible outcomes for a compound event by using the fundamental
counting principle and use this to determine the probabilities of events when the outcomes
have equal probability
☐ Probability

☐ Conditional Probability
☐ Bags of Marbles Puzzle
☐ The Basic Counting Principle
☐ Probability: Types of Events

☐ List possible outcomes for compound events
☐ Probability