Bagrut Mathematics (3/4/5 Units) study plan

Factor and simplify 40 mixed algebraic expressions (difference of squares, sum/difference of cubes, grouping) without errors in sign handling

Solve linear and quadratic equations in one and two unknowns, including parameter-dependent cases, and record the condition on the parameter for each solution

Set up and solve 10 word problems that require building an equation from the text before solving it

Solve linear inequalities and quadratic inequalities using a sign chart, and express every answer set in interval notation

Compute derivatives of polynomial, rational, radical, and product/quotient combinations using the power, product, quotient, and chain rules

Differentiate exponential and logarithmic expressions, including composite arguments

Find tangent line equations at a given point and determine where a function is increasing, decreasing, or stationary

Locate and classify local extrema and inflection points using sign tables for the first and second derivatives

Solve 5 full optimization word problems (area, volume, cost) through to a justified answer

Sketch graphs of linear, quadratic, cubic, rational, exponential, and logarithmic functions, marking intercepts, asymptotes, and domain restrictions

Determine domain and range for 20 functions, including those with radicals, denominators, and logarithms

Apply transformation rules (shift, stretch, reflect) to a parent graph and write the transformed equation

Solve exponential and logarithmic equations and verify solutions against domain restrictions

Convert between exponential and logarithmic form and apply log laws to simplify expressions

Derive and apply the sine, cosine, and tangent rules and the area formula to solve 15 triangles, including the ambiguous SSA case

Solve trigonometric equations in a given interval using the unit circle and general solution forms

Compute definite integrals using antiderivatives and the fundamental theorem, including polynomial, trigonometric, and exponential integrands

Calculate areas between curves and volumes of revolution, setting up the integral before evaluating it

Use substitution to evaluate 8 composite integrals

Identify arithmetic and geometric sequences and compute the general term, sum, and number of terms

Solve real-world growth and savings problems modeled by arithmetic or geometric series

Handle infinite geometric series and state the convergence condition explicitly

Revisit algebraic manipulation skills that surface in series work, such as factoring and simplifying rational expressions with powers

State and apply circle theorems (inscribed angle, tangent-chord, cyclic quadrilateral, power of a point) in multi-step proofs

Write complete two-column or paragraph proofs for 6 geometry problems, justifying each step with a named theorem

Use triangle congruence and similarity criteria to prove segment and angle equalities

Solve analytic geometry problems combining line equations, distance, midpoint, perpendicularity, and circle equations

Translate a geometric claim into coordinates and verify it algebraically

Compute probabilities using the addition and multiplication rules, conditional probability, and independence checks

Build and read tree diagrams and two-way tables for multi-stage experiments

Calculate mean, median, mode, variance, and standard deviation for grouped and ungrouped data and interpret the spread

Work with the binomial and normal distributions, including standardization and reading a supplied z-table

Revisit equation and inequality techniques in the context of probability constraints and expected-value problems

Complete two full-length timed practice papers under exam conditions, allocating time per section before starting

Diagnose every error from both papers by domain and by error type, then re-solve each missed item unaided

Drill the highest-frequency calculus and trigonometry procedures (derivative rules, tangent lines, extrema, definite integrals, triangle solving) until each is fluent

Finalize a one-page personal formula sheet covering all 11 domains for last-minute review