HYC Stage 9
Stage 9-Unit 1 Calculating - Hegarty maths
Interpret numbers in standard form. Convert a “near miss” into standard form. 122, 123
Multiply/divide numbers written in standard form. Also using a calculator. 125, 126, 128
Add/subtract numbers in standard form. Also using a calculator. 127, 128
Rounding with d.p. and significant figures. Accuracy of measurement. 56, 130
Estimation. Using inequality notation. 131
Minimum and maximum values of an amount that has been rounded. 137
Stage 9 Unit 2 – Visualising and Constructing
Construct perpendicular lines and perpendicular bisectors. 660
Perpendicular from point to a line. 662
Perpendicular from a point on a line. 663
Construct angle bisectors. Construct angles of 30, 45, 60, 90 degrees 661, 664, 665
Draw parallel lines, circles and arcs given a radius and construct a regular hexagon inside a circle. 659, 667, 668
Using loci to define a region. Distance from a point, a line, equal distance from 2 points, 2 line segments. Regions defined “nearer to”/ “greater than”. Relate to construction techniques. 674 - 679
Interpreting and constructing plans and elevations. Use in planning and representing 3D shapes.
Stage 9 Unit 3 - Algebraic Proficiency
Multiply two linear expressions of the form (x+a)(x+b). 162
Multiply two linear expressions of the form (x±a)(x±b). 163
Square a bracket. 162, 163
Factorise into a single bracket. 168, 169
Factorise into a double bracket. 223
Identifying an equation, expression, formula and identity. 154
Create a mathematical argument to show to expressions are equal.
Form expressions and formula to describe a situation. 155, 325
Stage 9 Unit 4 – Proportional reasoning
Explain the difference between direct and inverse proportion. 339, 342
Represent direct or inverse proportion graphically. 348
Represent direct or inverse proportion algebraically. 344, 345
Identify congruent or similar shapes. 608, 680
Solve problems in similar shapes. 312
Solve problems involving compound units. 716, 718, 719, 725, 729
Stage 9 Unit 5 – Pattern Sniffing
Investigate the Fibonacci sequence and other sequences. 263
Substitute numbers into formula including terms in x squared. 155, 189
Generate terms in a quadratic sequence. 249
Find the nth term rule of a quadratic sequence. 248, 249
Stage 9 Unit 6 – Solving equations and inequalities
Understand inequalities. 14, 265
Represent inequalities on a number line. 265
List a range of values that solve an inequality. 267
Solving equations with all unknowns on one side. 177, 179, 180
Solve equations with unknowns on both sides. 184
Solve inequalities. 269 - 272
Stage 9 Unit 7 – Calculating Space
Know the vocabulary of circles. 592
Calculate area and circumference of circles. 534, 539
Investigate arcs. 544 Investigate sectors. 546, 547
Calculate the volume and surface area of 3D shapes, including cylinders. 570, 572, 586
Recall and use Pythagoras’ Theorem. 497 - 499
Apply Pythagoras’ Theorem to solve problems. 502
Stage 9 Unit 8 - Conjecturing
Know the criteria for triangles to be congruent. 682
Identify congruent triangles. 682
Use known facts to form conjectures about lines and angles in geometrical situations. 684
Use known facts to create simple proofs. 325, 484
Explain why the base angles in an isosceles triangle must be equal. 685
Stage 9 Unit 9 – Algebraic Proficiency- Visualising
Investigate the equation of a straight line y=mx+c. 207, 208
What is the same in parallel lines? 207, 208 Rearrange equations into the form y=mx+c 210
Find the equation of a line through a given point (s). 213
Explore graphs of quadratic form. 251
Sketch graphs of a quadratic, cubic and reciprocal functions. 257, 299, 300
Plot and interpret graphs in real life contexts. 712, 713
Plot and interpret graphs to find solutions of kinematic problems involving distance, speed and acceleration. 716
Stage 9 Unit 10 – Solving Equation and Inequalities 2
Understand why simultaneous equations are required to solve ax+by=c.
Use graphs to estimate the solutions of simultaneous equations. 218
Solve simultaneous equations using elimination. 190 - 192
Balance coefficients to target a variable to eliminate. 193
Form simultaneous equations to model situations. 195
Stage 9 Unit 11 – Understanding Risk
List outcomes of combined event using a tree diagram. 361
Label a tree diagram with probabilities, including when events are dependent. 361 - 363
Use a tree diagram to calculate the probabilities of independent combined events. 361 - 363
Use a tree diagram to calculate the probabilities of dependent combined events. 361 - 363
Know when to add or multiply probabilities. 360
Understand that relative frequency tends towards theoretical probability as sample size increases. 355, 356
Stage 9 Unit 12 – Presentation of Data
Construct and interpret graphs of time series. 450 - 452
Construct and interpret compound bar charts. 425
Draw accurate scatter graphs. 453
Describe correlation and draw a line of best fit. 453
Uses a line of best fit to estimate values. 454
Know when it is appropriate to use a line of best fit to estimate values. 454