Linear functions and models

Chapter 50 of 36 strong

RESTS ONMultiplication and divisionFOUNDATIONSSigned numbersFOUNDATIONSDecimal place valueFOUNDATIONSTabulate a sequence by term number and term valueCH 3Solve a one-step linear equationFOUNDATIONSMultiply and divide fractionsFOUNDATIONSRoundingFOUNDATIONSUnitary methodCH 1Convert between unitsFOUNDATIONSGraph an arithmetic sequence as discrete pointsCH 3Simplify a fractionFOUNDATIONSApply the closed rule for a linear finance modelCH 3 Apply the closed rule for the nth term of an arithmetic sequenceCH 3 Recover financial parameters from a linear recurrence relationCH 3

Substitution and tables

Solving linear equations

Formulas in two unknowns

Straight-line graphs and slope

Straight-line equations

Equations from graphs and points

Linear models

Simultaneous equations

Piecewise linear and step graphs

Substitute known values into a formula and evaluate it correctly

Not started yet

Practise this

RESTS ON

Multiplication and divisionNot startedSigned numbersNot startedDecimal place valueNot started

UNLOCKS

Apply A = P(1 + r/100)^n for annual compounding to compute amount and interest, and build the repeated-simple-interest table CH 3Build a table of values from a formula by independent substitutionCheck a claimed solution or point by substituting into the original equationBuild and read a total formula from two unit ratesSketch a line from its equation using the intercept and one more pointEvaluate a piecewise linear rule in the branch containing the inputPredict from the model at a stated EV value, classify it as interpolation or extrapolation, and judge reliability CH 6Translate between a variation statement, its ∝ form and its equation CH 8Find the constant of variation for a stated direct relationship CH 8Find the constant of variation for a stated inverse relationship CH 8Identify the hypotenuse and compute it from the two shorter sides CH 9Select and apply the area formula matching the named shape and measurements CH 9Compute a circle's circumference and area from a stated radius or diameter CH 9