How can we apply our understanding of area, algebraic expressions, and exponents to solve complex real-world problems?
Critical Thinking: Students will use critical thinking to apply mathematical concepts to solve problems involving area, algebraic expressions, and exponents.
Collaboration: Students will work in teams to explore and solve problems, leveraging each other's strengths in understanding complex mathematical concepts.
Responsibility: Students will understand the importance of accurate calculations in real-world applications and the impact of mathematical knowledge on informed decision-making.
How do we use algebraic expressions and exponents to calculate the area of complex shapes?
In what situations would understanding the area and volume of an object be critical in solving a problem?
How can exponents simplify the process of solving real-world problems involving large numbers?
Students will solve real-life problems involving large numbers, areas, and volumes using exponents.
Skills Demonstrated
Add and subtract fractions and mixed numbers with unlike denominators using models or algorithms.
Multiply and divide fractions and mixed numbers accurately, including in word problems.
Perform operations with decimals (add, subtract, multiply, and divide) to the hundredths place.
Solve multi-step problems involving both fractions and decimals in real-world contexts.
CCSS.MATH.CONTENT.6.EE.A.1: Write and evaluate numerical expressions involving whole-number exponents.
CCSS.MATH.CONTENT.6.EE.A.2: Write, read, and evaluate expressions in which letters stand for numbers.
CCSS.MATH.CONTENT.6.G.A.1: Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing them into rectangles or decomposing them into triangles and other shapes.
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