Do the Math
Find the Least Common Denominator:
(1/(x))+(1/(x+2))
What is
x(x+2)
This instructional model follows the sequence: teacher demonstrates, class works together, then students work independently.
What is "I do, We do, You do"?
What are these called?
A.SSE.1: Interpret expressions that represent a quantity in terms of its context.
a.) Interpret parts of an expression, such as terms, factors, and coefficients
b.) Interpret complicated expressions by viewing one or more of their parts as a single entity.
A.APR.6: Rewrite simple rational expressions in different forms;
What is state standards?
The main goal of this unit is for students to be able to fluently perform what operations with rational expressions?
What is add and subtract rational expressions?
What is a formative assessment?
Rewrite 2/x with LCD x(x+3)
What is
(2(x+3))/(x(x+3))
Sentence structures such as "I need a common denominator because ________" is intended to help which genre of students?
Who are English Language Learners?
This unit is designed for students in what level of mathematics course (where they begin working with rational expressions)?
What is Algebra 2?
Why is finding a common denominator essential when adding or subtracting rational expressions?
What is because fractions must have a common denominator to be combined correctly?
In my unit, students are expected to reach about 75% or higher accuracy to show understanding. What does the 75% level represent?
What is mastery or proficiency?
Add these rational expressions:
(1/x)+(2/(x+1))
What is
(3x+1)/(x(x+1)
Why is guided practice important before independent work when teaching rational expressions?
What is it allows students to practice with support and correct mistakes before trying it on their own?
In this unit, I do not move on to the next topic unless most students understand the current one. What is this approach called?
What is mastery-based learning?
If a student adds (1/x) +(1/x+2) and gets (2/2x+2), what went wrong?
What is they just added the denominators (didn't find an LCD)?
At the end of the unit, students complete a larger assessment covering LCD, rewriting, adding and subtracting rational expressions. What type of assessment is this?
What is a summative assessment
*DAILY DOUBLE*
Subtract these rational expressions:
(3/x)-(1/(x-2))
What is
(2x-6)/(x(x-2))
If a few students are struggling with factoring while trying to add rational expressions, what is one strategy the teacher can use to support them?
What is break the problem down into smaller steps / review factoring with a small group.
Why is it important that students experience small successes each day instead of jumping straight into difficult problems?
What is it builds student confidence and helps with engagement?
Beyond just solving problems, learning rational expressions helps students prepare for what future math topics?
What is algebra / functions / solving equations / rational equations?
If students do not reach mastery (or proficiency) on a skill like adding rational expressions, what is the next step in instruction?
What is reteaching, additional practice or differentiated support?
Combine these rational expressions:
(2/(x+1))+(3/(x-1))
What is
(5x+1)/((x^2)-1))
Students seem disengaged during practice. What is one strategy the teacher can use to increase engagement and participation?
What is interactive activities / group work / think-pair-share?
This unit is designed so that each lesson builds on the previous one, gradually increasing difficulty and independence. What is this teaching approach called?
What is scaffolding?
Why is it important for students to not just follow steps, but understand why they are finding a common denominator?
Instead of relying on just one test, I use daily exit tickets and independent practice worksheets throughout the unit to track how students improve over time. What is this process called?
What is progress monitoring?