Create geometric models to solve real-world and mathematical problems to:
Find the area of triangles by composing into rectangles and decomposing into right triangles.
Find the area of special quadrilaterals and polygons by decomposing into triangles or rectangles .
Represent right prisms and right pyramids using nets made up of rectangles and triangles, and use nets to find the surface area of these figures. Apply these techniques in the context of solving real world and mathematical problems.
Understand and use prime factorization and the relationships between factors to:
• Find the unique prime factorization for a whole number.
• Find the greatest common factor of two whole numbers less than or equal to 100.
• Use the greatest common factor and the distributive property to rewrite the sum of two whole numbers, each less than or equal to 100.
• Find the least common multiple of two whole numbers less than or equal to 12 to add and subtract fractions with unlike denominators
Understand the concept of a ratio and use ratio language to:
• Describe a ratio as a multiplicative relationship between two quantities.
• Model a ratio relationship using a variety of representations.
Understand that ratios can be expressed as equivalent unit ratios by finding and interpreting both unit ratios in context.
Use ratio reasoning with equivalent whole-number ratios to solve real-world and mathematical problems by:
Creating and using a table to compare ratios.
• Finding missing values in the tables.
• Using a unit ratio.
• Converting and manipulating measurements using given ratios