Grade 6 Curriculum

Below are skills needed, with links to resources to help with that skill. We also encourage plenty of exercises and book work. Curriculum Home

Important: this is a guide only.
Check with your local education authority to find out their requirements.

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 (Complements Method)
☐ Tens Complement (What Makes 10)
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
☐ Definition of Trillion
☐ Activity: Count to a Billion
☐ Define absolute value and determine the absolute value of rational numbers (including positive and negative)
☐ Absolute Value
☐ Definition of Absolute Value
☐ Number Line
☐ Locate rational numbers on a number line (including positive and negative)
☐ Number Line
☐ Rational Numbers
☐ Definition of Rational Number
☐ 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
☐ Reciprocal of a Fraction
Grade 6 | Decimals
☐ Represent fractions as terminating decimals
☐ Converting Fractions to Decimals
☐ Definition of Recurring Decimal
☐ Does 0.999... equal 1?
☐ Definition of Terminating Decimal
☐ 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
☐ Definition of Reciprocal
☐ 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
☐ Definition of Rational Number
Grade 6 | Percentages
☐ Read, write, and identify percents of a whole (0% to 100%)
☐ Decimals, Fractions and Percentages
☐ Introduction to Percentages
☐ Definition of Percent
☐ Solve percent problems involving percent, rate, and base
☐ Introduction to Percentages
☐ Percentage Calculator
☐ Test Your Percentages
☐ Introduction to Interest
☐ Percentage Worksheets
☐ Definition of Interest Rate
Grade 6 | Ratios
☐ Solve simple proportions within context
☐ Ratios
☐ Proportions
☐ Ratio - Make Some Chocolate Crispies
☐ The Herd of Camels
☐ 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 (APR)
☐ 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 (metric)
☐ 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
☐ Definition of Millilitre | Milliliter
☐ Activity: Discover Capacity (Volumes)
☐ 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 (Volumes)
☐ Determine personal references for capacity (metric units)
☐ Metric Volume
☐ Activity: Discover Capacity (Volumes)
☐ Measuring Metrically with Maggie
☐ Metric System of Measurement
☐ Activity: Personal Measures
☐ Understand conversion of measurements (metric)
☐ Unit Converter
☐ Metric Area
☐ Metric Volume
☐ Metric Length
☐ Metric Mass (Weight)
☐ 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 (Volumes)
☐ Definition of Pint
☐ Definition of Fluid Ounce
☐ 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 (Volumes)
☐ Determine personal references for capacity (US standard units)
☐ US Standard Volume
☐ Activity: Discover Capacity (Volumes)
☐ Introduction to US Standard Units
☐ Activity: Personal Measures
☐ Measure capacity and calculate volume of a rectangular prism (US Standard Units)
☐ Prisms with Examples
☐ Cuboids, Rectangular Prisms and Cubes
☐ Volume of a Cuboid
☐ Pouring Liquid
☐ US Standard Volume
☐ Understand conversion of measurements (US)
☐ US Standard Mass (Weight)
☐ US Standard Area
☐ US Standard Volume
☐ Unit Converter
☐ US Standard Lengths
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
☐ Definition of Similar
☐ 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
☐ Definition of Regular Polygon
☐ Definition of Irregular Polygon
☐ Area of Polygon by Drawing
☐ Area Calculator
☐ Identify radius, diameter, circumference, chords, secants, tangents, arcs, segments and sectors of a circle.
☐ Circle
☐ Definition of Radius
☐ 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
☐ Definition of Radius
☐ 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
☐ Know the international paper sizes and how they are related to each other.
☐ Paper Sizes
Grade 6 | Geometry (Solid)
☐ Determine the volume of rectangular prisms (cuboids) by counting cubes and develop the formula
☐ Volume of a Cuboid
☐ Count the 3D Blocks
☐ Definition of Rectangular Prism
☐ Cuboids, Rectangular Prisms and Cubes
☐ Spinning Cube (Hexahedron)
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
☐ Introduction to Algebra - Multiplication
☐ Definition of Inverse
☐ Definition of Inverse Operation
☐ Definition of Additive Inverse
☐ Definition of Reciprocal
☐ 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
☐ Definition of Power
☐ 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
☐ Definition of Quadrant (graph)
☐ 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
☐ Introduction to Algebra - 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
☐ Introduction to Algebra - 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
☐ Definition of Sample
☐ Definition of Random Sample
☐ Definition of Population
☐ 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, dot plot, bar graph, line graph, histogram, or circle graph)
☐ Bar Graphs
☐ Dot Plots
☐ Data Graphs (Bar, Line, Pie)
☐ Showing the Results of a Survey
☐ Pictographs
☐ Pie Chart
☐ Line Graphs
☐ Histograms
☐ Definition of Frequency Histogram
☐ 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 Calculate the Median Value
☐ How to Calculate the Mode or Modal Value
☐ Definition of Mean
☐ Definition of Median
☐ Definition of Mode
☐ Finding a Central Value
☐ Determine the range for a given set of data
☐ Definition of Range (statistics)
☐ The Range (Statistics)
☐ 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, bar graph or pie chart.
☐ 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 (Introduction)
☐ 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 (Introduction)
☐ 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)
☐ Introduction to Percentages
☐ 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 (Introduction)
☐ 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
☐ The Basic Counting Principle
☐ Probability: Types of Events
☐ List possible outcomes (or calculate the number of possible outcomes) for compound events
☐ Probability
☐ Use relative frequencies to approximate the probability of a chance event.
☐ Relative Frequency
☐ Probability