# 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

☐ Inverse

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

☐ Inverse

☐ 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

☐ Ratios

☐ Verify the proportionality using the product of the means equals the product of the extremes

☐ Ratios

☐ Understand the concept of ratio

☐ Ratios

☐ Express equivalent ratios as a proportion

☐ Ratios

☐ 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

☐ 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

☐ Similar

☐ 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

☐ Polygons

☐ Identify radius, diameter, circumference, chords, secants, tangents, arcs, segments and sectors of a circle.

☐ Circle

☐ Understand the relationship between the diameter and radius of a circle

☐ Circle

☐ Determine the area and circumference of a circle, using the appropriate formula

☐ Pi

☐ Circle

☐ Calculate the area of a sector of a circle, given the measure of a central angle and the radius of the circle

☐ Circle

☐ Understand the relationship between the circumference and the diameter of a circle

☐ Circle

☐ Pi

☐ Determine the area of an ellipse using the appropriate formula

☐ Ellipse

☐ 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

☐ Inverse

☐ 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

☐ Point

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.