This math unit focuses on the progressive skills involved in multiplying and simplifying radical expressions, primarily involving monomials and binomials with both numerical and variable components. Initially, students practice multiplying monomials within radicals and simplifying them. This skill is incrementally built upon by introducing variables under the radicals, subsequently increasing the algebraic complexity. The unit then extends this foundational knowledge to more complex scenarios where these monomials are multiplied over integers and unit fractions, further challenging the students' ability to simplify expressions with additional factors like fractions. As the unit progresses, the complexity escalates to include binomial expressions involving radicals. Students transition from multiplying monomials with binomials—first with values only and later incorporating variables—towards fully engaging with binomial expressions. These operations require a solid grasp of the distributive property, exponent rules, and radical simplification techniques. Ultimately, the unit aims to equip students with robust skills in manipulating and simplifying radicals in algebraic expressions, vital for higher-level math courses.Skills you will learn include:
Topics are small, focused areas which build towards the greater unit's goals.