# Year 8 Curriculum

Below are the skills needed, with links to resources to help with that skill. We also enourage 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.*

Year 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.

☐ Surds

Year 8 | Percentages

☐ Read, write, and identify percents less than 1% and greater than 100%

☐ Apply percents to:
* Tax
* Percent increase/decrease
* Simple interest
* Sale price
* Commission
* Interest rates
* Gratuities

☐ Know how to calculate percentage error.

☐ Understand what is meant by percentage points and basis points.

Year 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

Year 8 | Measurement

☐ Solve equations/proportions to convert to equivalent measurements within metric and customary measurement systems
Note: Also allow Fahrenheit to Celsius and vice versa.

☐ Know the the metric units of speed (velocity): meters per second (ms-1) and kilometers per hour (kmh-1), or the standard 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 units for weight (Newton or pound-force).

☐ Solve equations/proportions to convert to equivalent measurements from metric to customary measurement systems and vice versa.

Year 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

☐ 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° and 180° degrees

☐ Draw the image of a figure under a reflection over a given line

Year 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.

Year 8 | Exponents

☐ Develop and apply the laws of exponents for multiplication and division

☐ Evaluate expressions with integer exponents

Year 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

Year 8 | Linear Equations

☐ 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

☐ Determine the equation of a line given the slope and the y-intercept

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

Year 8 | Quadratic Equations

☐ Recognize the characteristics of quadratics in tables, graphs, equations, and situations

☐ Parabola

Year 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.

Year 8 | Functions

☐ Define and use correct terminology when referring to function (domain and range)

☐ Determine if a relation is a function

Year 8 | Estimation

☐ Estimate a percent of a quantity, given an application

☐ Justify the reasonableness of answers using estimation

Year 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

☐ Understand Polar Coordinates, and how to convert from Cartesian coordinates to polar coordinates and vice versa.