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

Model and solve a successive percentage problem using a quadratic equation

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

Factor quadratic expressions to solve divisibility problems

Use quadratic models and solve quadratic equations using factoring

Find unknown coefficient values to enable factoring of quadratic equations

Solve quadratic equations to find areas of geometric shapes

Use a quadratic model to solve an area minimization problem

Identify and compare expressions using power laws

Convert between data units (metric prefixes)

Use scientific notation and the metric system to make comparisons

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

Represent functions using algebraic notation, graphing tools, and tables

Round to a given number of significant figures

Evaluate fractional powers of whole numbers

Calculate whole number square roots of whole numbers

Calculate travel times for lightning and thunder using scientific notation

Identify segments with irrational lengths

Use a non-repeating pattern to create an irrational decimal

Rewrite expressions involving negative powers as fractions

Use properties of congruent triangles to derive parallelogram properties

Use properties of congruent triangles to derive trapezoid properties

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

Simplify expressions involving whole powers (different bases)

Complete equations using power laws involving negative powers

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

Evaluate expressions involving fractional powers and radicals

Describe how sequences are related using equations

Represent sequence regularity with algebraic expressions in multiple ways

Find multiple equivalent formulas for the same sequence

Use the difference of squares law to expand and factorize expressions

Derive the Completing The Square method

Use the Quadratic Formula to understand solutions to equations

Use an algorithm represented in a flow chart to construct triangles

Use the Pythagorean Theorem to find unknown side lengths in right triangles

Identify similar triangles and solve problems

Identify similar triangles formed by transversal intersections with parallel lines

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

Represent repeated multiplication of negative numbers with powers

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

Solve systems of linear equations in two variables

Solve a series of area problems resulting in a proof of the Pythagorean Theorem

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

Use the Pythagorean Theorem to solve problems in a geometric context

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 Thales’s theorem to calculate unknown side lengths of triangles

Use Thales’s theorem to calculate building plan dimensions

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

Calculate and compare expressions involving negative powers and negative bases

Calculate negative powers of decimals

Calculate square roots 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

Construct parallel lines and polygons using angle properties