Solve word problems involving successive percentages

Determine a recursive formula for a sequence

Use geometric tools to create triangles to meet requirements

Use geometric tools to construct a regular hexagon

Calculate successive percentages and discover the importance of order

Calculate whole powers of fractions

Calculate whole powers of decimals using fraction benchmarks

Round expressions in scientific notation

Round to a given number of significant figures

Add and subtract quantities of different magnitudes represented in scientific notation

Identify rational and irrational numbers

Rewrite expressions involving negative powers as fractions

Use properties of congruent triangles and rectangles to prove shapes are parallelograms

Use properties of congruent triangles to derive parallelogram properties

Use properties of congruent triangles to derive sufficient conditions for a parallelogram to be a rectangle

Use properties of congruent triangles to derive trapezoid properties

Determine whether a data collection method is a census or a sample survey

Determine whether a census or a sample is the most appropriate measurement technique from context

Calculate successive percentages and interpret the overall change as a single percentage

Use the Rule of 72 to approximate the doubling time of compound interest

Complete equations using power laws involving negative powers

Use scientific notation and the metric system to make comparisons

Calculate whole number square roots of whole numbers

Convert rational powers between exponent and radical form

Convert and manipulate expressions involving rational powers

Represent sequence regularity with algebraic expressions in multiple ways

Find multiple equivalent formulas for the same sequence

Manipulate and solve quadratic equations involving squares of sums

Solve quadrilateral area problems with algebra

Solve quadratic equations to find areas of geometric shapes

Model and solve a successive percentage problem using a quadratic equation

Solve quadratic equations by taking square roots

Use quadratic equations to find and relate areas of inscribed circles and squares

Use quadratic models and solve quadratic equations using factoring

Use the Quadratic Formula to understand solutions to equations

Connect the reflection symmetry of parabolas with the form of their quadratic equation

Represent and solve a system of linear equations to make appropriate decisions in context

Use Thales’s theorem to calculate unknown side lengths of triangles

Use Thales’s theorem to calculate lengths of sides and midlines in trapeziums

Use Thales’s theorem to calculate building plan dimensions

Use Thales’s theorem to calculate unknown side lengths of trapezoids

Use an algorithm represented in a flow chart to construct triangles

Use the Pythagorean Theorem to decide whether a triangle is acute, right or obtuse given its side lengths

Use similar triangles to prove the Pythagorean Theorem

Calculate side lengths of right triangles using the Pythagorean Theorem and similar triangles

Use triangle similarity to solve geometric problems and construct figures

Identify and find minimum or maximum values for quadratic expressions

Construct parallel lines and polygons using angle properties

Solve problems involving angles formed with a tangent and inscribed angles

Use the inscribed angle theorem to measure angles and create chords to requirements within circles

Convert between data units (metric prefixes)

Use power laws to calculate square and cube roots of whole numbers represented using fractional powers

Solve quadratic equations by completing the square

Derive the Completing The Square method

Use parity to evaluate and compare expressions involving powers of negative bases

Represent repeated multiplication of negative numbers with powers

Calculate negative powers of fractions

Convert between expressions involving negative powers and fractions

Calculate negative powers of decimals

Calculate square roots of fractions