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.

☐ Understand what is meant by the tens complement, one hundreds complement etc of a whole number; and use the method of subtraction by addition.
☐ Define and identify the zero property of multiplication
☐ 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
☐ Represent fractions as terminating decimals
☐ Use a variety of strategies to add, subtract, multiply, and divide decimals to millionths
☐ 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)
☐ Read, write, and identify percents of a whole (0% to 100%)
☐ Solve percent problems involving percent, rate, and base
☐ 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
☐ 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)
☐ Understand Leap Years
☐ Know the twenty-four hour clock and how to convert between the twenty-four hour clock and AM/PM time.
☐ 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
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
☐ Know the international paper sizes and how they are related to each other.
☐ Determine the volume of rectangular prisms (cuboids) by counting cubes and develop the formula
☐ 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.)
☐ 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
☐ Identify and plot points in all four quadrants
☐ Translate two-step verbal expressions into algebraic expressions
☐ Translate two-step verbal sentences into algebraic equations
☐ 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
☐ 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