Solve word problems involving successive percentages

Determine a recursive formula for a sequence

Use geometric tools to construct a regular hexagon

Use geometric tools to create triangles to meet requirements

Calculate successive percentages and discover the importance of order

Determine whether simple or stratified sampling is the most appropriate data collection method

Interpret survey results conducted with stratified random sampling

Calculate and compare both simple and compound interest

Calculate whole powers of fractions

Calculate whole powers of decimals using fraction benchmarks

Simplify expressions involving whole powers (different bases)

Describe how sequences are related using equations

Distinguish between position and value in arithmetic sequences

Represent the first terms of a sequence with different formulas and determine where they diverge

Find multiple equivalent formulas for the same sequence

Manipulate and solve quadratic equations involving squares of sums

Prove the square of a difference formula for quadratic equations with geometric methods

Represent functions using algebraic notation, graphing tools, and tables

Solve quadrilateral area problems with algebra

Connect the solutions to a quadratic equation with its coefficients by visually interpreting changes to its graph

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

Factor quadratic expressions to solve divisibility problems

Identify values of coefficients in quadratic equations resulting in particular solutions

Identify values of coefficients in quadratic equations resulting in particular types of solutions

Use the Quadratic Formula to understand solutions to equations

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

Modify coefficients in linear equations to create systems with differing numbers of solutions

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

Solve systems of linear equations in two variables

Write and solve a system of equations that represents a real life scenario using graphical methods

Use an algorithm represented in a flow chart to construct triangles

Evaluate expressions involving fractional powers and radicals

Evaluate fractional powers of whole numbers

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

Identify similar triangles and solve problems

Use similar triangles to prove the Pythagorean Theorem

Use the Pythagorean Theorem and triangle similarity to solve problems involving the sides of other triangles

Use triangle similarity to solve geometric problems and construct figures

Use similarity of right triangles to find side lengths

Relate the perimeter and area of similar triangles

Use triangle similarity to calculate vertical distance with two horizontal measurements

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

Use geometric methods and Thales’s theorem to divide segments into given ratios

Convert between expressions involving negative powers and fractions

Calculate negative powers of fractions

Use a linear model and solve a system of linear equations

Solve system of linear equations by elimination

Solve problems using the relationship between inscribed angles and the arcs they subtend

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 and manipulate expressions involving rational powers

Convert rational powers between exponent and radical form

Round expressions in scientific notation

Round to a given number of significant figures

Identify rational and irrational numbers

Identify segments with irrational lengths

Construct a segment with irrational length and approximate its value with decimals

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

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

Derive properties of rhombuses with congruent triangles