Functions Test Review Day 2

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Objective

Review the objectives covered in this unit.

Big Idea

This lesson will train students HOW to study mathematics as well as help them review.

Lesson Author

Amelia Jamison

Caldwell, ID

Grade Level

Eleventh grade

Subjects

Math

Systems of Equations and Inequalities

Algebra

graphing equations

linear functions

graphing inequalities

Standards

HSA-CED.A.2

Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.

HSA-CED.A.3

Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or nonviable options in a modeling context. For example, represent inequalities describing nutritional and cost constraints on combinations of different foods.

HSF-IF.B.4

For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity.*

HSF-IF.B.5

Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes. For example, if the function h(n) gives the number of person-hours it takes to assemble n engines in a factory, then the positive integers would be an appropriate domain for the function.*

HSF-IF.C.7b

Graph square root, cube root, and piecewise-defined functions, including step functions and absolute value functions.

HSF-BF.A.1b

Combine standard function types using arithmetic operations. For example, build a function that models the temperature of a cooling body by adding a constant function to a decaying exponential, and relate these functions to the model.

HSF-BF.B.3

Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them.

HSF-BF.B.4

Find inverse functions.

MP3

Construct viable arguments and critique the reasoning of others.

MP7

Look for and make use of structure.

Warm up and Homework Check

15 minutes

I include Warm ups with a Rubric as part of my daily routine. My goal is to allow students to work on Math Practice 3 each day. Grouping students into homogeneous pairs provides an opportunity for appropriately differentiated math conversations. The Video Narrative specifically explains this lesson’s Warm Up- Function Test Review Day 2 which has students identify the slope of a line in standard form without solving for y (Math Practice 7).

I also use this time to correct and record the previous day's Homework.

Review

32 minutes

In the previous lesson, the exit ticket asked the students to list the concepts that they would like to talk about in the second day of the review. That information guides the problems that I give them today during the review. My PowerPoint contains problems that review all of the objectives for the unit but I prioritize the problems and cover those first that were most requested. We will get through as many as possible. I run these as a Guided Practice.

The systems word problems came from the Kuta Software.