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.
Grade 6 | Multiplication
Define and identify the zero property of multiplication
Grade 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
Grade 6 | Decimals
Represent fractions as terminating decimals
Use a variety of strategies to add, subtract, multiply, and divide decimals to millionths
Grade 6 | Fractions
Add and subtract fractions with unlike denominators
Multiply, and divide fractions with unlike denominators.
Multiply and divide mixed fractions with unlike denominators
Identify the multiplicative inverse (reciprocal) of a number
Find multiple representations of rational numbers (fractions, decimals, and percents 0 to 100)
Grade 6 | Percentages
Read, write, and identify percents of a whole (0% to 100%)
Solve percent problems involving percent, rate, and base
Grade 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
Grade 6 | Measurement
Measure capacity and calculate volume of a rectangular prism (metric)
Identify metric units of capacity (milliliters, liters)
Identify equivalent metric units of capacity (milliliters to liters and liters to milliliters; or vice versa)
Determine the tools and techniques required to measure with an appropriate level of precision: capacity (metric units)
Determine personal references for capacity (metric units)
Understand conversion of measurements (metric)
Convert from degrees Celsius to degrees Fahrenheit and vice versa
Identify US standard units of capacity (fluid ounces, cups, pints, quarts, and gallons)
Identify equivalent US standard 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 (US standard units)
Determine personal references for capacity (US standard units)
Measure capacity and calculate volume of a rectangular prism (US Standard Units)
Understand conversion of measurements (US)
Grade 6 | Time
Understand Leap Years
Understand AD and BC
Know the twenty-four hour clock and how to convert between the twenty-four hour clock and AM/PM time.
Grade 6 | Geometry (Plane)
Calculate the length of corresponding sides of similar triangles (or other simple similar shapes), 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, parallelograms, rhombi, and trapezoids) and develop formulas
Use a variety of strategies to find the area of regular and irregular polygons
Identify radius, diameter, circumference, chords, secants, tangents, arcs, segments and sectors 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
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
Determine the area of an ellipse using the appropriate formula
Know the international paper sizes and how they are related to each other.
Grade 6 | Geometry (Solid)
Determine the volume of rectangular prisms (cuboids) by counting cubes and develop the formula
Grade 6 | Algebra
Use substitution to evaluate algebraic expressions (may include exponents of one, two and three)
Solve and explain two-step equations involving whole numbers using inverse operations
Evaluate formulas for given input values (circumference, area, volume, distance, temperature, interest, etc.)
Grade 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
Grade 6 | Coordinates
Identify and plot points in all four quadrants
Grade 6 | Linear Equations
Translate two-step verbal expressions into algebraic expressions
Translate two-step verbal sentences into algebraic equations
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
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, dot plot, 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
Read and interpret graphs
Justify predictions made from data
Record and interpret data using a stem and leaf plot.
Calculate the relative frequencies from a frequency table, bar graph or pie chart.
Read and interpret frequency tables
Grade 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)
Grade 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 (or calculate the number of possible outcomes) for compound events
Use relative frequencies to approximate the probability of a chance event.