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

Identify and compare expressions using power laws

Round to a given number of significant figures

Add and subtract quantities of different magnitudes represented in scientific notation

Calculate travel times for lightning and thunder using scientific notation

Develop an algorithm to construct squares

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

Derive properties of rhombuses with congruent triangles

Use properties of congruent triangles to derive parallelogram properties

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

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

Calculate whole powers of decimals using fraction benchmarks

Calculate whole powers of fractions

Calculate whole powers of decimals

Use power laws to rewrite expressions involving negative powers

Calculate negative powers of fractions

Calculate and compare expressions involving negative powers and negative bases

Simplify expressions involving whole powers (different bases)

Distinguish between position and value in arithmetic sequences

Describe how sequences are related using equations

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

Find explicit formulas for sequences from their recursive formulas

Use the difference of squares law to expand and factorize expressions

Use a quadratic model to solve an area minimization problem

Use quadratic equations to solve geometric problems

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

Identify values of coefficients in quadratic equations resulting in particular solutions

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

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

Use Thales’s theorem to find lengths and areas

Use an algorithm represented in a flow chart to construct triangles

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

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

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

Use similar triangles to prove 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 triangle similarity to solve geometric problems and construct figures

Identify and find minimum or maximum values for quadratic expressions

Solve system of linear equations by sketching graphs and marking points

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

Evaluate, rewrite, and compare expressions involving radicals and rational powers

Derive the Completing The Square method

Identify similar triangles and solve problems

Use similarity of right triangles to find side lengths

Identify similar triangles formed by transversal intersections with parallel lines

Calculate square roots of decimals

Calculate square roots of fractions

Solve system of linear equations by elimination

Prove the relationship between inscribed angles and the arc they subtend

Solve problems involving angles formed with a tangent and inscribed angles

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

Round expressions in scientific notation

Identify rational and irrational numbers