Year 6 Curriculum

Below are the skills needed, with links to resources to help with that skill. We also enourage 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.

Year 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)
Year 6 | Multiplication
☐ Identify the multiplicative inverse (reciprocal) of a number
Reciprocal
Inverse
Reciprocal
Reciprocal of a Fraction
Definition of Reciprocal
☐ Define and identify the zero property of multiplication
Zero Product Property
Year 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
☐ Locate rational numbers on a number line (including positive and negative)
Number Line
Rational Numbers
Definition of Rational Number
Definition of Number Line
Fraction Number Line
Common Number Sets
Real Numbers
☐ Order rational numbers (including positive and negative)
Equal, Less and Greater Than Symbols
Definition of Ordering
Comparing Fractions
Compare Fractions
☐ 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
☐ 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
☐ 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
Properties of Inequalities
Reciprocal
Reciprocal of a Fraction
Year 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
Dividing Fractions
Multiplying Fractions
Fraction Worksheets
Using Rational Numbers
☐ Multiply and divide mixed numbers with unlike denominators
Mixed Fractions
Dividing Fractions
Multiplying Mixed Numbers
Definition of Mixed Fraction
Reciprocal
☐ Represent fractions as terminating or repeating decimals
Converting Fractions to Decimals
Definition of Recurring Decimal
Does 0.999... equal 1?
☐ 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
Using Rational Numbers
Year 6 | Percentages
☐ Read, write, and identify percents of a whole (0% to 100%)
Decimals, Fractions and Percentages
Introduction to Percentages
Percentage Calculator
Test Your Percentages
Definition of Percent
☐ Solve percent problems involving percent, rate, and base
Introduction to Percentages
Percentage Calculator
Test Your Percentages
Definition of Annual Percentage Rate (APR)
Introduction to Interest
Percentage Worksheets
Year 6 | Ratios
☐ Solve simple proportions within context
Ratios
Ratio - Make Some Chocolate Crispies
The Herd of Camels
The Herd of Camels - Solution
Ratio - Chocolate Crispies Recipe
☐ Verify the proportionality using the product of the means equals the product of the extremes
Definition of Mean
☐ 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
☐ 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
Year 6 | Measurement
☐ Measure capacity and calculate volume of a rectangular prism
Volume of a Cuboid
Cuboids, Rectangular Prisms and Cubes
Definition of Capacity
Definition of Cubic Measure
Definition of Volume
Definition of Rectangular Prism
Prisms with Examples
Pouring Liquid
☐ Identify metric units of capacity (milliliters, liters) or customary units of capacity (fluid ounces, cups, pints, quarts, and gallons)
Measuring Cups
Measuring Metrically with Maggie
US Standard Volume
Metric Volume
Introduction to US Standard Units
Metric System of Measurement
Definition of US Standard Units
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 equivalent customary units of capacity (fluid ounces to cups, cups to pints, pints to quarts, and quarts to gallons; or vice versa)
Measuring Cups
US Standard Volume
Introduction to US Standard Units
Metric Volume
Unit Conversion Tool
Measuring Metrically with Maggie
Metric System of Measurement
☐ Determine the tools and techniques required to measure with an appropriate level of precision: capacity
Accuracy and Precision
Metric Volume
US Standard Volume
Activity: Discover Capacity (Volumes)
☐ Determine personal references for capacity
Metric Volume
US Standard Volume
Introduction to US Standard Units
Measuring Metrically with Maggie
Metric System of Measurement
Activity: Personal Measures
☐ Understand conversion of measurements
Conversion of Area
How to Convert Imperial to Metric
Conversion of Length
How to Safely Convert From One Unit to Another
How to Convert Metric to Imperial
Conversion of Temperature - Celsius to Fahrenheit
Unit Conversion Tool
Conversion of Volume
Metric - US/Imperial Conversion Charts
Year 6 | Time
☐ Understand Leap Years
Leap Years
Definition of Leap Year
Introduction to Days, Weeks, Months and Years
Years
☐ Understand AD and BC
AD and BC
Year 6 | Geometry (Plane)
☐ Calculate the length of corresponding sides of similar triangles, using proportional reasoning
Definition of Similar
Similar
Similar Triangles
How To Find if Triangles are Similar
Theorems about Similar Triangles
☐ 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 Calculation Tool
Activity: Garden Area
☐ Determine the areas of triangles and quadrilaterals (squares, rectangles, rhombi, and trapezoids) and develop formulas
Area of Triangles Without Right Angles
Area of Circle, Triangle, Square, Rectangle, Parallelogram, Trapezium, Ellipse and Sector
Area Calculation Tool
Heron's Formula
Pythagorean Theorem Proof
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
Regular Polygons - Properties
☐ Identify radius, diameter, chords and central angles 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 Calculation Tool
Circle
Perimeter
Activity: The Olympic Athletics Track
☐ 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 Calculation Tool
Activity: The Olympic Athletics Track
☐ Understand the relationship between the circumference and the diameter of a circle
Circle
Pi
Activity: Find an Approximate Value For Pi
Activity: Tomatoes for the Garden
Activity: The Olympic Athletics Track
☐ Determine the area of an ellipse using the appropriate formula
Area of Circle, Triangle, Square, Rectangle, Parallelogram, Trapezium, Ellipse and Sector
Year 6 | Geometry (Solid)
☐ Determine the volume of rectangular prisms 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)
Year 6 | Algebra
☐ Use substitution to evaluate algebraic expressions (may include exponents of one, two and three)
Substitution
Exponents
Activity: Soup Can
☐ 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
Activity: Dropping a Coin onto a Grid
Year 6 | Exponents
☐ Represent repeated multiplication in exponential form
Exponents
Index Notation - Powers of 10
Laws of Exponents
Activity: Subsets
☐ 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
Exponents of Negative Numbers
Year 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
☐ 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
Solving Equations
Introduction to Algebra
Year 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
The Spinner - Your Decision Maker
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
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
Calculating the mean from a frequency table
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
Bar Graphs
Line Graphs
☐ Justify predictions made from data
How to Do a Survey
☐ Record 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
Year 6 | Estimation
☐ Estimate volume, area, and circumference
Estimation (Introduction)
Circle
Estimation Games
Definition of Estimate
Metric System of Measurement
Introduction to US Standard Units
Pouring Liquid
Activity: Garden Area
Activity: Investigating the Platonic Solids and other solids
☐ Justify the reasonableness of estimates
Estimation (Introduction)
Estimation Tips and Tricks
Visual Estimation
Band around the Earth
☐ Estimate a percent of quantity (0% to 100%)
Estimation Games
Definition of Estimation
Definition of Estimate
Estimation (Introduction)
☐ 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)
Squares and Square Roots
Approximate Solutions
Year 6 | Graphs
☐ 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
Year 6 | Probability
☐ Determine the probability of dependent events
Probability
Minesweeper Risk
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
Bags of Marbles
The Spinner - Your Decision Maker
The Basic Counting Principle
☐ List possible outcomes for compound events
Probability

 

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