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 (other than binary and hexadecimal), 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.
Simplify a square root by making the number inside the square root as small as possible (but still a whole number) i.e. the product or quotient of an irreducible surd with a rational number.
Calculate a square root using the 'guess method'.
Be familiar with various rounding methods and when to use them
Count past 1,000 using binary fingers
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 (m/s) and kilometers per hour (km/h)
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 velocity 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
Understand that two two-dimensional figures are congruent if one can be obtained from the other by a sequence of rotations, reflections, and translations.
Understand that two two-dimensional figures are similar if one can be obtained from the other by a sequence of rotations, reflections, translations and dilations.
Grade 8 | Algebra
Factor algebraic expressions using the GCF
Understand that numerical information can be represented in multiple ways: arithmetically, algebraically, and graphically
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.
Use units and scales consistently in solving problems, substituting into formulas and drawing graphs.
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
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 | Logic
Use logical reasoning to solve problems involving various skills
Use If...then thinking to make decisions based on Logic.
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)
Interpret multiple representations using equation, table of values, and graph
Distinguish between linear and nonlinear equations ax^2 + bx + c; a=1 (only graphically)
Describe a situation involving relationships that matches a given graph
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 using a table of values
Graph a line from an equation in slope-intercept form (y=mx+b)