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 and be able to use Long Division
☐ Distinguish between the various subsets of real numbers (counting/natural numbers, whole numbers, integers, rational numbers, and irrational numbers)
☐ Determine the prime factorization of a given number and write in exponential form
☐ Simplify expressions using order of operations (Note: Expressions may include absolute value, square roots and/or integer exponents greater than 0.)
☐ Add, subtract, multiply, and divide integers
☐ Add two integers (with and without the use of a number line)
☐ Develop a conceptual understanding of negative and zero exponents with a base of ten and relate to fractions and decimals (e.g., 10^-2 = .01 = 1/100)
☐ Recognize and state the value of the square root of a perfect square (up to 225)
☐ Determine the square root of non-perfect squares (or harder perfect squares) using a calculator
☐ Classify irrational numbers as non-repeating/non-terminating decimals
Pi
☐ Identify the two consecutive whole numbers between which the square root of a non-perfect square whole number less than 225 lies (with and without the use of a number line)
☐ Recognize the difference between rational and irrational numbers (e.g., explore different approximations of pi)
Pi
☐ Place rational and irrational numbers (approximations) on a number line and justify the placement.
☐ Write numbers in scientific notation
☐ Change numbers written in scientific notation to ordinary numbers.
☐ Compare numbers written in scientific notation
☐ Find the common factors and greatest common factor of two or more numbers
☐ Determine multiples and least common multiple of two or more numbers
☐ Subtract two integers (with and without the use of a number line)
☐ Compare and order integers from -10 to 10
☐ Recognize and state the value of the cube root of a perfect cube (up to 1000)
☐ Determine the cube root of non-perfect cubes (or harder perfect cubes) using a calculator
☐ Identify the two consecutive whole numbers between which the cube root of a non-perfect cube whole number less than 1000 lies (with and without the use of a number line)
☐ Know and understand the Fundamental Theorem of Arithmetic.
☐ Represent fractions as recurring (repeating) decimals. Understand what is meant by a recurring decimal and how it is written.
☐ Add and subtract a combination of three or more fractions with unlike denominators
☐ Calculate the full amount (100%) when given a different percentage of the same amount e.g. If you know 25%, what is 100%?
☐ Calculate distance using a map scale or a model scale
☐ Understand what is meant by direct and inverse proportion, how to find the constant of proportionality in each case, and know the type of graph associated with each.
☐ Calculate scales of maps, scale drawings or models as ratios
☐ Determine personal references for metric units of mass
☐ Justify the reasonableness of the mass of an object (metric units)
☐ Convert capacities and volumes within the metric system
☐ Identify metric units of mass
☐ Convert mass within the metric system
☐ Draw central angles in a given circle using a protractor (circle graphs)
☐ Determine the tools and techniques required to measure mass with an appropriate level of precision (metric units)
☐ Know the metric units of area: Square Millimeter, Square Centimeter, Square Meter, Hectare and Square Kilometer; and how to convert between them.
☐ Determine personal references for US standard units of mass
☐ Justify the reasonableness of the mass of an object (US standard units)
☐ Convert capacities and volumes within the US system
☐ Identify US standard units of mass
☐ Convert mass within the US system
☐ Determine the tools and techniques required to measure mass with an appropriate level of precision (US standard units)
☐ Know the US standard units of area: Square Inch, Square Foot, Square Yard, Acre, Square Mile; and how to convert between them.
☐ Build a pattern to develop a rule for determining the sum of the interior angles of polygons
☐ Calculate the radius or diameter, given the circumference or area of a circle
Pi
☐ Find a missing angle when given angles of a quadrilateral
☐ Understand that Angles on a Straight Line Add to 180 degrees, and Angles Around a Point Add to 360 degrees
☐ Understand Tessellation, and what is meant by regular and semi-regular tessellations.
☐ Know the names of polygons with 5, 6 and 8 sides, know the sizes of their interior angles, and know what is meant by regular, irregular, concave and convex polygons.
☐ Find the area of an annulus and the volume of a hollowed-out cylindrical pipe with an annular cross-section.
Pi
☐ Calculate the volumes of prisms and cylinders, using given formulas and a calculator
☐ Identify the two-dimensional shapes that make up the faces and bases of three-dimensional shapes (prisms, cylinders, cones, and pyramids)
☐ Determine the surface areas of prisms and cylinders, using a calculator and a variety of methods
☐ Add and subtract monomials with exponents of one
☐ Evaluate formulas for given input values (surface area, volume, rate, and density problems)
☐ Write down the reciprocal of an algebraic expression
☐ Add and subtract simple polynomials with exponents not greater than 3
☐ Develop the laws of exponents for multiplication and division
☐ Solve one-step inequalities (positive coefficients only)
☐ Graph the solution set of an inequality (positive coefficients only) on a number line.
☐ Translate two-step verbal expressions into algebraic expressions
☐ Solve multi-step equations by combining like terms, using the distributive property, or moving variables to one side of the equation
☐ Identify the right angle, hypotenuse, and legs of a right triangle
☐ Explore the relationship between the lengths of the three sides of a right triangle to develop the Pythagorean Theorem
☐ Use the Pythagorean Theorem to determine the unknown length of a side of a right triangle
☐ Determine whether a given triangle is a right triangle by applying the Pythagorean Theorem and using a calculator
☐ Identify a polynomial as an algebraic expression containing one or more terms
☐ Write an equation to represent a function from a table of values
☐ Identify and collect data using a variety of methods
☐ Design and conduct an experiment to test predictions
☐ Compare actual results to predicted results
☐ Display data in a circle graph (pie chart)
☐ Convert raw data into double bar graphs and double line graphs
☐ Calculate the range for a given set of data
☐ Read and interpret data represented graphically (pictograph, bar graph, histogram, line graph, double line/bar graphs or circle graph)
☐ Determine the validity of sampling methods to predict outcomes
☐ Understand what is meant by a random sample, and that generalizations about a population from a sample are valid only if the sample is representative of that population.
☐ Use random sampling to make predictions about an unknown characteristic from a population. and gauge how far off the estimate or prediction might be.
☐ Estimate surface area
☐ Justify the reasonableness of answers using estimation
☐ Estimate the areas of plane shapes by counting the number of squares needed to cover the shape.