# Modeling- Linear Functions, Quadratic Functions, Exponential Functions PT 1

## By Textbook Tactics

Determining if data fits a Linear, Quadratic, or Exponential Model by graphing the data or finding patterns in the data.

# Linear models of bivariate data

Estimating slope of line of best fit

# Linear models of bivariate data

Estimating slope of line of best fit

# Linear models of bivariate data

Estimating slope of line of best fit

# Linear models of bivariate data

Estimating slope of line of best fit

# Linear models of bivariate data

Estimating slope of line of best fit

# Linear models of bivariate data

Estimating slope of line of best fit

## By

11th grade math lesson in which students interpret linear models and the correlation coefficient, and make predictions based on data.

# Algebra Applications: Exponential Functions

## By Media4Math

In this episode of Algebra Applications, students explore earthquakes using exponential models. In particular, students analyze the earthquake that struck the Sichuan Province in China in 2008, months before the Beijing Olympics. This dramatic, real-world example allows students to apply their understanding of exponential functions and their inverses, along with data analysis and periodic function analysis. Segments include: What is an earthquake? The basic definition of an exponential function is shown in the intensity function for an earthquake. Students analyze data and perform an exponential regression based on data from the Sichuan earthquake. What is the difference between earthquake intensity and magnitude? An exponential model describes the intensity of an earthquake, while a logarithmic model describes the magnitude of an earthquake. In the process students learn about the inverse of an exponential function. How is earthquake magnitude measured? An earthquake is an example of a seismic wave. A wave can be modeled with a trigonometric function. Using the TI-Nspire, students link the amplitude to an exponential function to analyze the dramatic increase in intensity resulting from minor changes to magnitude. Go to www.media4math.com for additional resources.

# [4.NF.3d-1.0] Word Problems: Addition - Common Core Standard

## By Freckle by Renaissance

Solve word problems involving addition and subtraction of fractions referring to the same whole and having like denominators, e.g., by using visual fractions models and equations to represent to problem. Front Row is a free, adaptive, Common Core aligned math program for teachers and students in kindergarten through eighth grade. Front Row allows students to practice math at their own pace - learning advanced concepts when they're ready and receiving remediation when they struggle. Front Row provides teachers with access to a detailed data dashboard and weekly email reports that show which standards are causing students difficulty, what small groups can be formed for interventions, and how their students are progressing in math.

# [4.NF.3b-1.0] Decomposing Fractions - Common Core Standard

## By Freckle by Renaissance

Decompose a fraction into a sum of fractions with the same denominator in more than one way, recording each decomposition by an equation and justify decompositions by using a visual fraction model. Front Row is a free, adaptive, Common Core aligned math program for teachers and students in kindergarten through eighth grade. Front Row allows students to practice math at their own pace - learning advanced concepts when they're ready and receiving remediation when they struggle. Front Row provides teachers with access to a detailed data dashboard and weekly email reports that show which standards are causing students difficulty, what small groups can be formed for interventions, and how their students are progressing in math.

# Constraint solution sets of two-variable linear inequalities

Sal determines which x-values make the ordered pair (x,-7) a solution of 2x-7y<25. He also solves a similar problem where the inequality is given as a graph.

# Linear Functions in Practice

This video from Khan Academy explores mathematical concepts related to basic linear functions and includes illustrative examples.

# Constraint solution sets of systems of linear inequalities

Given the graph of a system of inequalities, Sal finds the x-values that make the ordered pair (x,-2) a solution of the system, which is the solution set constrained to y=-2. Then he solves a similar problem where x is constrained to 4.

# Ex 2: Probability Using Combinations (Groups)

## By Mathispower4u

This video discusses an example problem on determining the probability of an event using combinations.

# [5.NBT.7-3.0] Operations on Decimals - Common Core Standard

## By Front Row

Discover more Common Core Math at https://www.frontrowed.comMultiply decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used.Front Row is a free, adaptive, Common Core aligned math program for teachers and students in kindergarten through eighth grade. Front Row allows students to practice math at their own pace - learning advanced concepts when they 're ready and receiving remediation when they struggle. Front Row provides teachers with access to a detailed data dashboard and weekly email reports that show which standards are causing students difficulty, what small groups can be formed for interventions, and how their students are progressing in math.Discover more Common Core Math at https://www.frontrowed.com

# [5.NBT.7-1.0] Operations on Decimals - Common Core Standard

## By Front Row

Discover more Common Core Math at https://www.frontrowed.comAdd decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used.Front Row is a free, adaptive, Common Core aligned math program for teachers and students in kindergarten through eighth grade. Front Row allows students to practice math at their own pace - learning advanced concepts when they're ready and receiving remediation when they struggle. Front Row provides teachers with access to a detailed data dashboard and weekly email reports that show which standards are causing students difficulty, what small groups can be formed for interventions, and how their students are progressing in math.Discover more Common Core Math at https://www.frontrowed.com

# [4.NF.2-1.0] Compare Dissimilar Fractions - Common Core Standard

## By Freckle by Renaissance

Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols greater than , = , or less than , and justify the conclusions, e.g., by using a visual fraction model. Front Row is a free, adaptive, Common Core aligned math program for teachers and students in kindergarten through eighth grade. Front Row allows students to practice math at their own pace - learning advanced concepts when they're ready and receiving remediation when they struggle. Front Row provides teachers with access to a detailed data dashboard and weekly email reports that show which standards are causing students difficulty, what small groups can be formed for interventions, and how their students are progressing in math.