Grade 8 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 8 | Numbers
☐ Understand Binary Numbers
☐ Understand Hexadecimal Numbers
☐ Convert from base ten to another base number, and vice versa.
☐ Round a number to a required number of decimal places or a required number of significant digits.
☐ Understand that there are other numeral systems such as Roman numerals, and how to convert from one system to the other.
☐ Understand what is meant by a surd, and that if you can't simplify a number to remove a square root(or cube root etc) then it is a surd.
☐ Calculate a square root using the 'guess method'.
☐ Be familair with various rounding methods and when to use them
Grade 8 | Percentages
☐ Read, write, and identify percents less than 1% and greater than 100%
☐ Apply percents to: * Tax * Simple interest * Sale price * Commission * Interest rates * Gratuities
☐ Understand what is meant by percentage error, and how to calculate it.
☐ Understand what is meant by percentage points and basis points.
☐ Understand what is meant by percentage change (percentage increase or percentage decrease), and how to calculate it.
☐ Understand what is meant by percentage difference, and how to calculate it.
Grade 8 | Ratios
☐ Know how to share a quantity in a given ratio e.g. Share the profits of a company in the ratio of the investments of the partners
Grade 8 | Measurement
☐ Solve equations/proportions to convert to equivalent measurements within the metric measurement system
☐ Know the metric units of speed (velocity): meters per second (ms-1) and kilometers per hour (kmh-1)
☐ Recognize the difference between the expressions 'weight' and 'mass', and know the correct metric unit for weight (Newton)
☐ Solve equations/proportions to convert to equivalent measurements from metric to customary measurement systems and vice versa.
☐ Solve equations/proportions to convert to equivalent measurements within the US standard measurement system
☐ Know the standard US units of speed (velocity): Feet per second(fps) and Miles per hour(mph).
☐ Recognize the difference between the expressions 'weight' and 'mass', and know the correct US standard unit for weight (pound-force)
☐ Know the metric units of acceleration and how to calculate acceleration given initial velocity, final velovity and the time interval.
☐ Convert from degrees Fahrenheit to Celsius and vice versa.
Grade 8 | Geometry (Plane)
☐ Apply algebra to determine the measure of angles formed by or contained in parallel lines cut by a transversal and by intersecting lines
☐ Construct the following using a straight edge and compass: * Segment congruent to a segment * Angle congruent to an angle * Perpendicular bisector * Angle bisector
☐ Identify pairs of vertical angles as congruent
☐ Draw the image of a figure under a translation
☐ Draw the image of a figure under a dilation (resizing)
☐ Identify the properties preserved and not preserved under a reflection, rotation, translation, and dilation
☐ Identify pairs of supplementary and complementary angles
☐ Calculate the missing angle in a supplementary or complementary pair
☐ Determine angle pair relationships when given two parallel lines cut by a transversal
☐ Calculate the missing angle measurements when given two parallel lines cut by a transversal
☐ Calculate the missing angle measurements when given two intersecting lines and an angle
☐ Describe and identify transformations in the plane, using proper function notation (rotations, reflections, translations, and dilations)
☐ Draw the image of a figure under rotations of 90 degrees and 180 degrees, and identify rotations by multiples of 30 degrees
☐ Draw the image of a figure under a reflection over a given line
Grade 8 | Algebra
☐ Factor algebraic expressions using the GCF
☐ Write verbal expressions that match given mathematical expressions
☐ Understand cross-multiply
☐ Know the Implication and Iff symbols, and when each of them is used.
☐ Be familiar with the language of mathematics, including: symbols, letter conventions, variables and mathematical sentences.
Grade 8 | Exponents
☐ Develop and apply the laws of exponents for multiplication and division
☐ Evaluate expressions with integer exponents
Grade 8 | Inequalities
☐ Translate verbal sentences into algebraic inequalities.
☐ Solve multi-step inequalities and graph the solution set on a number line
☐ Solve linear inequalities by combining like terms, using the distributive property, or moving variables to one side of the inequality (include multiplication or division of inequalities by a negative number)
☐ Graph the solution set of an inequality on a number line
Grade 8 | Coordinates
☐ Determine the equation of a line given the slope and the y-intercept, and vice versa
☐ Understand Polar Coordinates, and how to convert from Cartesian coordinates to polar coordinates and vice versa.
☐ Calculate the area of a polygon given the coordinates of its vertices
☐ Know how to find the slope and y-intercept of a straight line from its graph
Grade 8 | Quadratic Equations
☐ Recognize the characteristics of quadratics in tables, graphs, equations, and situations
Grade 8 | Polynomials
☐ Factor a trinomial in the form ax^2 + bx + c; a=1 and c having no more than three sets of factors
☐ Use physical models to perform operations with polynomials
☐ Multiply and divide monomials
☐ Add and subtract polynomials (integer coefficients)
☐ Multiply a binomial by a monomial or a binomial (integer coefficients)
☐ Divide a polynomial by a monomial (integer coefficients) Note: The degree of the denominator is less than or equal to the degree of the numerator for all variables.
Grade 8 | Functions
☐ Define and use correct terminology when referring to function (domain and range)
☐ Determine whether a relation is a function
Grade 8 | Estimation
☐ Estimate a percent of a quantity, given an application
☐ Justify the reasonableness of answers using estimation
Grade 8 | Graphs
☐ Find a set of ordered pairs to satisfy a given linear numerical pattern (expressed algebraically); then plot the ordered pairs and draw the line
☐ Solve systems of equations graphically (only linear, integer solutions, y=mx+b format, no vertical/horizontal lines)
☐ Distinguish between linear and nonlinear equations ax2 + bx + c; a=1 (only graphically)
☐ Create a graph given a description or an expression for a situation involving a linear or nonlinear relationship
☐ Determine the slope of a line from a graph and explain the meaning of slope as a constant rate of change
☐ Determine the y-intercept of a line from a graph and be able to explain the y-intercept
☐ Graph a line from an equation in slope-intercept form (y=mx+b)