6th Grade Math Course

How do ratios, rates, and rational numbers help us model and solve real-world problems, and what strategies can we use to represent these relationships mathematically?

Resources for Math Learning

Arizona Mathematics Standards - 6th Grade (PDF)

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Ratio Relationships: Learn to represent and model ratios using diagrams, number lines, tables, and graphs. Discover equivalent ratios and solve real-world problems. 

Rates & Unit Rates: Dive into rates and unit rates. Use these powerful tools to solve real-world missions involving speed, unit pricing, and measurement conversions. 

Percentages: Conquer percentages! Connect them to fractions and use your ratio skills to solve real-world problems involving finding the percent, part, or whole. 

GCF & LCM: Become a number ninja by mastering greatest common factors (GCF) and least common multiples (LCM)! Use visual models and your divisibility knowledge to power up your number skills. 

Fraction Division: Dominate fraction division using tape diagrams, double number lines, and common denominators. Unlock the "invert and multiply" strategy to conquer any fraction division challenge! 

Decimal Operations: Use standard algorithms to fluently perform operations with decimals and apply these skills in real-world missions. You'll also level up your multi-digit number division skills!

Rational Numbers: Prepare to be a rational renegade by exploring the world of positive and negative numbers! Learn to plot rational numbers and their opposites on the number line, calculate absolute values, and compare and order these numbers. Unlock the secrets of magnitude to describe real-world quantities. 

Coordinate Plane: Prepare for a coordinate quest! Explore the four quadrants of the coordinate plane. Plot points with rational coordinates, reflect points across axes, calculate line segment lengths, graph geometric figures, and use the coordinate plane to solve real-world problems. 

Exponents: Evaluate powers with different bases and conquer numerical expressions using the order of operations. 

Variables: Learn how to use variables to represent unknown numbers and quantities. Write and evaluate algebraic expressions and use properties of operations to create equivalent expressions. 

Solving Equations: Solve single-variable, one-step equations and understand what it means for a value to be a solution. 

Graphing: Revisit ratio relationships and learn to write and graph equations in two variables. Identify independent and dependent variables in real-world situations. 

Area: Use your rectangle knowledge to develop formulas for the area of parallelograms and triangles. Apply your skills with expressions, operations, and coordinate graphing to find the area of complex shapes. 

Surface Area: Identify the attributes of right prisms and pyramids and use nets to determine their surface area. 

Volume: Discover the formulas V=lwh and V=Bh. Apply these formulas to find the volume of any right rectangular prism with positive, rational number edge lengths. 

Solving for the Unknown: Apply volume formulas to solve real-world and mathematical problems. Write and solve single-variable equations to determine unknown measurements of a prism. 

Data: Learn to identify statistical questions. Uncover the secrets hidden in data distributions using dot plots, histograms, relative frequency histograms, and box plots. 

Distribution: Describe the center, spread, and shape of data distributions. Calculate and interpret measures of center (mean, median) and spread (mean absolute deviation, interquartile range). Use these measures to describe typical values and variability. 

Final Project: It's time for the grand data project! Combine your detective and superstar skills to develop a statistical question, collect data, analyze and interpret your findings, and present your work to your peers.