# 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.

☐ Bases

☐ 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.

☐ Surds

☐ 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.

☐ Surds

☐ 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

☐ Ratios

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

☐ Bisect

☐ 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)

☐ Similar

☐ Identify the properties preserved and not preserved under a reflection, rotation, translation, and dilation

☐ Similar

☐ 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

☐ Similar

☐ 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.

☐ Similar

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.

☐ 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

☐ Parabola

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.

☐ Page

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 ax^2 + 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 using a table of values

☐ Graph a line from an equation in slope-intercept form (y=mx+b)