Maths 9 syllabus

Learning outcomes

Plan the outcomes you want to master, then work through their linked reading, flashcards, MCQs and past-paper questions.

Outcome syllabus

Browse in the same domains used by the curriculum.

0 outcomes

All Maths 9 learning outcomes

Recall the history of numbers
Recall how real numbers combine rational and irrational numbers
Show real numbers on the number line
Show terminating and recurring decimals on the number line
Give decimal forms of rational and irrational numbers
Know the properties of real numbers
Explain radicals and radicands
Distinguish radical form from exponential form
Convert between radical and exponential forms
Recall base, exponent, and value
Simplify expressions using the laws of exponents
Convert between ordinary numbers and scientific notation
Define the logarithm of a number to base a
Define common logarithms, characteristics, and mantissas
Find logarithms using log tables
Explain antilogs and find them using tables
Distinguish common logarithms from natural logarithms
Prove the four basic laws of logarithms
Simplify calculations using the laws of logarithms
Describe mathematics as the study of patterns and structures
Apply set operations to three sets using Venn diagrams
Solve classification problems with Venn diagrams
Verify and apply the laws of union and intersection
Apply set theory to real world problems
Explain products and binary relations, and identify domain and range
Recognize the ways a relation can be represented
Recall factorization of expressions of the following types.
Recall linear equations in one variable
Solve linear equations with rational coefficients
Solve radical equations by reducing them to linear form
Define absolute value
Solve absolute value equations in one variable
Define inequality symbols
Recognize the properties of inequalities
Solve linear inequalities with rational coefficients
Measure angles in sexagesimal and circular systems
Convert angles between degree-minute-second and decimal forms
Convert angles between sexagesimal and circular systems
Find arc length from radius and central angle
Find the area of a sector of a circle
Find trigonometric ratios of standard angles
Prove and apply trigonometric identities
Find angles of elevation and depression
Solve real life problems with right-angled triangles
Interpret and use three-figure bearings
Find bearings of cardinal and intercardinal directions
Solve real life bearing problems with trigonometry
Use coordinate conventions to derive the distance formula
Represent and identify collinear and non-collinear points
Find the distance between two points
Derive the midpoint formula and find midpoints
Solve real life problems with the distance and midpoint formulas
Find a line gradient from two points
Find gradients of parallel and perpendicular lines
Derive the standard forms of a straight line equation
Show that a linear equation in two variables is a straight line
Convert the general form of a line to standard forms
Find the angle between two intersecting lines
Find the equation of lines through the intersection of two lines
Find triangle angles from the slopes of its sides
Apply coordinate geometry to real world problems
Distinguish a mathematical statement from its proof
Distinguish axioms, conjectures, and theorems
Formulate simple deductive proofs (algebraic proofs that require showing LHS equal to RHS e.g. $(x-3)^{2}+5=x^{2}-6 x+14$
Identify similar figures and compare their areas and volumes
Solve problems with areas and volumes of similar figures
Solve real life problems with polygons, triangles, and parallelograms
Solve real life problems using loci
Solve problems for points at a fixed distance from a point
Solve problems for points at a fixed distance from a line
Solve problems for points equidistant from two points
Solve problems for points equidistant from two intersecting lines
Construct grouped frequency tables, histograms, and frequency polygons
Calculate the mean, median, and mode of grouped data
Calculate the weighted mean
Related real life word problems
Find the probability of single events
Find the probability of complementary events
Use relative frequency to estimate probability
Find the expected frequency
Related real life word problems.