# 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.
Year 6 | Multiplication
☐ Identify the multiplicative inverse (reciprocal) of a number
☐ Define and identify the zero property of multiplication
Year 6 | Numbers
☐ Read and write whole numbers to trillions
☐ Define absolute value and determine the absolute value of rational numbers (including positive and negative)
☐ Locate rational numbers on a number line (including positive and negative)
☐ Order rational numbers (including positive and negative)
☐ Define and identify the commutative and associative properties of addition and multiplication
☐ Evaluate numerical expressions using order of operations (may include exponents of two and three)
☐ Define and identify the distributive property of multiplication over addition
☐ Define and identify the identity and inverse properties of addition and multiplication
Year 6 | Fractions
☐ Add and subtract fractions with unlike denominators
☐ Multiply, and divide fractions with unlike denominators.
☐ Multiply and divide mixed numbers with unlike denominators
☐ Represent fractions as terminating or repeating decimals
☐ Find multiple representations of rational numbers (fractions, decimals, and percents 0 to 100)
Year 6 | Percentages
☐ Read, write, and identify percents of a whole (0% to 100%)
☐ Solve percent problems involving percent, rate, and base
Year 6 | Ratios
☐ Solve simple proportions within context
☐ Verify the proportionality using the product of the means equals the product of the extremes
☐ Understand the concept of ratio
☐ Express equivalent ratios as a proportion
☐ Distinguish the difference between rate and ratio
☐ Solve proportions using equivalent fractions
Year 6 | Measurement
☐ Measure capacity and calculate volume of a rectangular prism
☐ Identify metric units of capacity (milliliters, liters) or customary units of capacity (fluid ounces, cups, pints, quarts, and gallons)
☐ 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)
☐ Determine the tools and techniques required to measure with an appropriate level of precision: capacity
☐ Determine personal references for capacity
☐ Understand conversion of measurements
Year 6 | Time
☐ Understand Leap Years
Year 6 | Geometry (Plane)
☐ Calculate the length of corresponding sides of similar triangles, using proportional reasoning
☐ Calculate the area of basic polygons drawn on a coordinate plane (rectangles and shapes composed of rectangles having sides with integer lengths)
☐ Determine the areas of triangles and quadrilaterals (squares, rectangles, rhombi, and trapezoids) and develop formulas
☐ Use a variety of strategies to find the area of regular and irregular polygons
☐ Identify radius, diameter, chords and central angles of a circle
☐ Understand the relationship between the diameter and radius of a circle
☐ Determine the area and circumference of a circle, using the appropriate formula
Pi
☐ Calculate the area of a sector of a circle, given the measure of a central angle and the radius of the circle
☐ Understand the relationship between the circumference and the diameter of a circle
Pi
☐ Determine the area of an ellipse using the appropriate formula
Year 6 | Geometry (Solid)
☐ Determine the volume of rectangular prisms by counting cubes and develop the formula
Year 6 | Algebra
☐ Use substitution to evaluate algebraic expressions (may include exponents of one, two and three)
☐ Evaluate formulas for given input values (circumference, area, volume, distance, temperature, interest, etc.)
Year 6 | Exponents
☐ Represent repeated multiplication in exponential form
☐ Represent exponential form as repeated multiplication
☐ Evaluate expressions having exponents where the power is an exponent of one, two, or three
Year 6 | Linear Equations
☐ Translate two-step verbal expressions into algebraic expressions
☐ Translate two-step verbal sentences into algebraic equations
☐ Solve and explain two-step equations involving whole numbers using inverse operations
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
☐ Record data in a frequency table
☐ Construct Venn diagrams to sort data
☐ Determine and justify the most appropriate graph to display a given set of data (pictograph, bar graph, line graph, histogram, or circle graph)
☐ Determine the mean, mode and median for a given set of data
☐ Determine the range for a given set of data
☐ Justify predictions made from data
☐ Record data using a stem and leaf plot.
☐ Calculate the relative frequencies from a frequency table.
Year 6 | Estimation
☐ Estimate volume, area, and circumference
☐ Justify the reasonableness of estimates
☐ Estimate a percent of quantity (0% to 100%)
☐ Justify the reasonableness of answers using estimation (including rounding)
Year 6 | Graphs
☐ Identify and plot points in all four quadrants
Year 6 | Probability
☐ Determine the probability of dependent events
☐ 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
☐ List possible outcomes for compound events