grade 8 algebra 1 cp curriculum pacing guide 2014 2015 ... · day of year (a.ced.1, a.rei.3) model...

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Grade 8 Algebra 1 CP – Curriculum Pacing Guide – 2014 – 2015 First Nine Weeks Anderson School District Five Page 1 Copyright © July 1, 2014 Unit 1 - Foundations N.Q.1 Use units as a way to understand problems and to guide the solution of multi-step problems; choose and interpret units consistently in formulas; choose and interpret the scale and the origin in graphs and data displays. N.Q.2 Define appropriate quantities for the purpose of descriptive modeling. N.Q.3 Choose a level of accuracy appropriate to limitations on measurement when reporting quantities. N.RN.3 Explain why sums and products of rational numbers are rational, that the sum of a rational number an an irrational number is irrational, and that the product of a nonzero rational number and an irrational number is irrational. A.SSE.1 Interpret expressions that represent a quantity in terms of its context. A.SSE.1a Interpret parts of an expression, such as terms, factors, and coefficients. A.SSE.1b Interpret complicated expressions by viewing one or more of their parts as a single entity. A.SSE.2 Use the structure of an expression to identify ways to rewrite it. A.CED.1 Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions. A.CED.2 Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales. A.REI.3 Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters. A.REI.10 Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line). Unit 1 - Foundations Essential Tasks/Key Concepts Resources/Activities Textbook Reference Day of Year (A.SSE.1, A.SSE.1a) Write equations from verbal expressions and create linear equations to represent real-world applications. Expression Bingo http://www.math-play.com/Algebraic-Expressions-Millionaire/algebraic- expressions-millionaire.html (Game to practice writing equations from expressions) http://www.math-drills.com/algebra.shtml#translating (to generate worksheets) 1-2 (A.SSE.1b, A.SSE.2) Evaluate numerical expressions and algebraic expressions using the order of operations. Order of Operations Practice Sheet http://writingtolearntoteach.wordpress.com/2012/08/10/my-favorite-friday- order-of-operations-activity/ (Activity to use for order of operations) http://illuminations.nctm.org/LessonDetail.aspx?id=L730 (Order of operations Bingo game) https://itunes.apple.com/us/app/5-dice-order-operations- game/id572774867?ls=1&mt=8 (Ipad App) 3-4

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Page 1: Grade 8 Algebra 1 CP Curriculum Pacing Guide 2014 2015 ... · Day of Year (A.CED.1, A.REI.3) Model one step equations using either algebra tiles or Hands on Equations. Solve one-step

Grade 8 Algebra 1 CP – Curriculum Pacing Guide – 2014 – 2015 First Nine Weeks

Anderson School District Five Page 1 Copyright © July 1, 2014

Unit 1 - Foundations N.Q.1 Use units as a way to understand problems and to guide the solution of multi-step problems; choose and interpret units consistently in formulas;

choose and interpret the scale and the origin in graphs and data displays.

N.Q.2 Define appropriate quantities for the purpose of descriptive modeling. N.Q.3 Choose a level of accuracy appropriate to limitations on measurement when reporting quantities.

N.RN.3 Explain why sums and products of rational numbers are rational, that the sum of a rational number an an irrational number is irrational, and that the product of a nonzero rational number and an irrational number is irrational.

A.SSE.1 Interpret expressions that represent a quantity in terms of its context. A.SSE.1a Interpret parts of an expression, such as terms, factors, and coefficients.

A.SSE.1b Interpret complicated expressions by viewing one or more of their parts as a single entity.

A.SSE.2 Use the structure of an expression to identify ways to rewrite it. A.CED.1 Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and

simple rational and exponential functions. A.CED.2 Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.

A.REI.3 Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.

A.REI.10 Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line).

Unit 1 - Foundations

Essential Tasks/Key Concepts Resources/Activities Textbook Reference

Day of Year

(A.SSE.1, A.SSE.1a)

Write equations from verbal expressions and create linear equations to represent real-world

applications.

Expression Bingo

http://www.math-play.com/Algebraic-Expressions-Millionaire/algebraic-

expressions-millionaire.html (Game to practice writing equations from expressions)

http://www.math-drills.com/algebra.shtml#translating (to generate

worksheets)

1-2

(A.SSE.1b, A.SSE.2)

Evaluate numerical expressions and algebraic expressions using the order of operations.

Order of Operations Practice Sheet

http://writingtolearntoteach.wordpress.com/2012/08/10/my-favorite-friday-

order-of-operations-activity/ (Activity to use for order of operations) http://illuminations.nctm.org/LessonDetail.aspx?id=L730 (Order of

operations Bingo game)

https://itunes.apple.com/us/app/5-dice-order-operations-

game/id572774867?ls=1&mt=8 (Ipad App)

3-4

Page 2: Grade 8 Algebra 1 CP Curriculum Pacing Guide 2014 2015 ... · Day of Year (A.CED.1, A.REI.3) Model one step equations using either algebra tiles or Hands on Equations. Solve one-step

Grade 8 Algebra 1 CP – Curriculum Pacing Guide – 2014 – 2015 First Nine Weeks

Anderson School District Five Page 2 Copyright © July 1, 2014

Unit 1 - Foundations

Essential Tasks/Key Concepts Resources/Activities Textbook

Reference

Day of

Year

(N.RN.3) Review real numbers, properties of real numbers,

and operations with real numbers.

Use the Closure property to explain and identify

whether sums or products of two real numbers is rational or irrational.

Glencoe Common Core State Standards Supplement, p. 57

Pearson Concept Byte, p. 45

Real numbers Venn Diagram Project

Hands on Equations Kit

5-6

(A.SSE.1a) Use the distributive property to simplify

expressions.

Integers and Like Terms

Hands on Equations Kit

Combining Like Terms Matching

http://www.superteachertools.com/jeopardy/usergames/Feb201107/game12

98233590.php (Combining Like Terms & distributive property game review)

7-8

(A.CED.1)

Use tables and mental math to solve equations.

Test values to see if they are solutions to an

equation.

Expression and Property Jeopardy 9-10

(A.CED.2, A.REI.10)

Check to see if an ordered pair is a solution to an equation with two variables.

Create a table of values from a real world problem

and use it to draw a graph and write an equation.

Building Patterns #1

Building Patterns #2

Building Patterns #3

Guess My Rule

Cookie Cutter Activity

11-12

(N.Q.1, N.Q.2)

Find unit rates and use dimensional analysis to

convert units.

Use unit analysis to solve real-world problems.

Dimensional Analysis Challenge

http://www.yummymath.com/2011/cheesy-goldfish/ (Compare unit costs of

goldfish)

13

Page 3: Grade 8 Algebra 1 CP Curriculum Pacing Guide 2014 2015 ... · Day of Year (A.CED.1, A.REI.3) Model one step equations using either algebra tiles or Hands on Equations. Solve one-step

Grade 8 Algebra 1 CP – Curriculum Pacing Guide – 2014 – 2015 First Nine Weeks

Anderson School District Five Page 3 Copyright © July 1, 2014

Unit 1 - Foundations

Essential Tasks/Key Concepts Resources/Activities Textbook

Reference

Day of

Year

(N.Q.3) Find the percent of change in a real-world

problem.

Use the percent of change to find the relative

error in linear and nonlinear measurements.

http://www.teachersnotebook.com/product/KatieKim/percent-of-change-

with-m-amp-ms-activity (Pair students with M&M’s and do a comparison of percent of change from one bag to the other)

14

(N.Q.1, A.CED.1, A.REI.3)

Solve proportions and use them to solve real-world problems.

Proportion Lesson Directions

Proportion Scavenger Problems

Proportions Problems

Introduction proportion Problems

http://illuminations.nctm.org/LessonDetail.aspx?ID=L511 (Write and solve

proportions based on activities students can do)

15

(A.CED.1, A.REI.3)

Use proportions to find missing lengths in similar figures.

Use similar figures to measure indirectly

http://www.teachforever.com/2007/09/lesson-idea-proportions-and-

ratios.html (Activity to create a statue of the student)

16

(N.Q.3) Solve percent problems using proportions and by

setting up an equation.

Go Fish 17

Unit Review and Test 18-19

Page 4: Grade 8 Algebra 1 CP Curriculum Pacing Guide 2014 2015 ... · Day of Year (A.CED.1, A.REI.3) Model one step equations using either algebra tiles or Hands on Equations. Solve one-step

Grade 8 Algebra 1 CP – Curriculum Pacing Guide – 2014 – 2015 First Nine Weeks

Anderson School District Five Page 4 Copyright © July 1, 2014

Unit 2 – Solving Equations and Inequalities N.Q.1 Use units as a way to understand problems and to guide the solution of multi-step problems; choose and interpret units consistently in formulas;

choose and interpret the scale and the origin in graphs and data displays.

A.SSE.1 Interpret expressions that represent a quantity in terms of its context. A.SSE.1b Interpret complicated expressions by viewing one or more of their parts as a single entity.

A.CED.1 Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions.

A.CED.4 Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations. A.REI.1 Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption

that the original equation has a solution. Construct a viable argument to justify a solution method.

A.REI.3 Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.

Unit 2 - Solving Equations and Inequalities

Essential Tasks/Key Concepts Resources/Activities Textbook

Reference

Day of

Year

(A.CED.1, A.REI.3) Model one step equations using either algebra tiles

or Hands on Equations.

Solve one-step equations in one variable.

Create one-step equations to solve real-world

problems.

Algebra Tiles

Hands on Equations Kit

Equation Frames Equation Bingo

Fractions and Decimals – One Step Equations

http://www.quia.com/mc/540939.html (Game to match equation &

solution)

http://www.quia.com/cc/540939.html (Concentration game to practice

solving) http://www.math-play.com/One-Step-Equation-Game.html (Game to solve)

20

(A.CED.1, A.REI.1, A.REI.3)

Model and solve two-step equations in one variable.

Create two-step equations in one variable to solve

real-world problems.

http://www.math-play.com/One-Step-Equation-Game.html (Game to solve)

http://www.onlinemathlearning.com/solving-two-step-equations-

integers.html (Game to practice solving)

http://www.onlinemathlearning.com/solving-two-step-equations-

fractions.html (Solving with fractions)

21

Page 5: Grade 8 Algebra 1 CP Curriculum Pacing Guide 2014 2015 ... · Day of Year (A.CED.1, A.REI.3) Model one step equations using either algebra tiles or Hands on Equations. Solve one-step

Grade 8 Algebra 1 CP – Curriculum Pacing Guide – 2014 – 2015 First Nine Weeks

Anderson School District Five Page 5 Copyright © July 1, 2014

Unit 2 - Solving Equations and Inequalities

Essential Tasks/Key Concepts Resources/Activities Textbook

Reference

Day of

Year

(A.CED.1, A.REI.1, A.REI.3) Model and solve multi-step equations in one

variable.

Create multi-step equations in one variable to

solve real-world problems.

http://www.onlinemathlearning.com/solving-multple-step-equations.html

(Game to practice)

22-23

(A.CED.1, A.REI.1, A.REI.3)

Model and solve equations with variables on both

sides and use them to solve real-world problems.

Solving Equations Exam Review

Problem Solving Equations

Sums of Consecutive Integers

Word Problems

http://www.onlinemathlearning.com/solving-equations-techniques.html

(Game to practice solving)

http://love4thgrade.blogspot.com/2012/03/diy-learning-games-with-

minimal.html (clothespin game to solve)

24-25

(N.Q.1, A.CED.1, A.CED.4, A.REI.1, A.REI.3) Rewrite and use literal equations to solve real-

world problems.

Literal Equations Manipulative

Substitution and Simplifying Literal Equations

http://mathequalslove.blogspot.com/2013/06/literal-equations-scavenger-

hunt.html (Scavenger Hunt)

http://www.quia.com/cb/77775.html (Jeopardy type review of all

equations)

25

(A.REI.3) Write, graph, and identify solutions of inequalities.

Error Checking with Inequalities

27

(A.CED.1, A.REI.3)

Solve and graph one-step inequalities.

28

(A.CED.1, A.REI.3)

Solve and graph multi-step inequalities.

Partner Problems Inequalities

http://www.quia.com/rr/521133.html?AP_rand=528408548 (Game similar to

Milliionaire to practice solving equations)

29

Page 6: Grade 8 Algebra 1 CP Curriculum Pacing Guide 2014 2015 ... · Day of Year (A.CED.1, A.REI.3) Model one step equations using either algebra tiles or Hands on Equations. Solve one-step

Grade 8 Algebra 1 CP – Curriculum Pacing Guide – 2014 – 2015 First Nine Weeks

Anderson School District Five Page 6 Copyright © July 1, 2014

Unit 2 - Solving Equations and Inequalities

Essential Tasks/Key Concepts Resources/Activities Textbook

Reference

Day of

Year

(A.REI.3) Write sets using set notation and identify subsets.

Students should be able to find the complement of

a set.

Worksheet using Set Notation 30

(A.CED.1, A.REI.3)

Create and solve inequalities for real-world

problems.

Tic Tac Toe Inequalities Gameboard

Fast Food Nutrition Facts

Fast Food Nutrition Activity

31

(A.CED.1)

Find the union and intersections of sets

Venn Diagrams Worksheet

http://www.univie.ac.at/moe/tests/mengen/duv.html (Match with picture of

Venn Diagram)

32

(A.CED.1, A.REI.3) Solve and graph compound inequalities.

Jigsaw Lesson on Compound Inequalities 33-34

(A.CED.1, A.REI.3, A.SSE.1b) Solve absolute value equations.

Absolute Value Stations 35

(A.CED.1, A.REI.3, A.SSE.1, A.SSE.1b)

Solve and graph absolute value inequalities.

Absolute Value Inequality Activities from Virginia 36-37

Unit Review and Test 38-39

Page 7: Grade 8 Algebra 1 CP Curriculum Pacing Guide 2014 2015 ... · Day of Year (A.CED.1, A.REI.3) Model one step equations using either algebra tiles or Hands on Equations. Solve one-step

Grade 8 Algebra 1 CP – Curriculum Pacing Guide – 2014 – 2015 Second Nine Weeks

Anderson School District Five Page 7 Copyright © July 1, 2014

Unit 3 - Statistics N.Q.1 Use units as a way to understand problems and to guide the solution of multi-step problems; choose and interpret units consistently in formulas;

choose and interpret the scale and the origin in graphs and data displays.

N.Q.2 Define appropriate quantities for the purpose of descriptive modeling. S.ID.1 Represent data with plots on the real number line (dot plots, histograms, and box plots).

S.ID.2 Use statistics appropriate to the shape of the data distribution to compare center (median, mean) and spread (interquartile range, standard deviation) of two or more different data sets.

S.ID.3 Interpret differences in shape, center, and spread in the context of the data sets, accounting for possible effects of extreme data points (outliers). S.ID.5 Summarize categorical data for two categories in two-way frequency tables. Interpret relative frequencies in the context of the data (including joint,

marginal, and conditional relative frequencies). Recognize possible associations and trends in the data.

Unit 3 - Statistics

Essential Tasks/Key Concepts Resources/Activities Textbook Reference

Day of Year

(N.Q.1, S.ID.1)

Make and interpret frequency tables and histograms

Frequency Tables & Histogram worksheet

Histogram Lesson Worksheet

http://www.scholastic.com/browse/lessonplan.jsp?id=459 (Lesson to use histogram about flood damage)

40-41

(N.Q.2, S.ID.2, S.ID.3)

Calculate and compare measures of central tendencies including mean, median, and mode.

http://www.educationworld.com/a_lesson/03/lp293-02.shtml (Using candy

colors to find mean, median, mode)

http://www.proteacher.org/c/336_Mean,_Median,_and_Mode.html (Has

several ideas) http://pinterest.com/carolann1956/mean-median-mode-and-range/ (Many

ideas from pinterest)

42

(S.ID.2) Calculate and compare measures of dispersion

including range, variance, and standard deviation.

Deriving Standard Deviation Worksheet

Hair Measuring Activity Worksheet

43-44

(N.Q.1, S.ID.1, S.ID.2) Make and interpret box-and-whisker plots and

determine quartiles and percentiles.

Compare multiple box-and-whisker plots.

Fruit Loops Activity for Boxplots Worksheet

http://illuminations.nctm.org/LessonDetail.aspx?ID=L737 (NBA Data)

45-46

Page 8: Grade 8 Algebra 1 CP Curriculum Pacing Guide 2014 2015 ... · Day of Year (A.CED.1, A.REI.3) Model one step equations using either algebra tiles or Hands on Equations. Solve one-step

Grade 8 Algebra 1 CP – Curriculum Pacing Guide – 2014 – 2015 Second Nine Weeks

Anderson School District Five Page 8 Copyright © July 1, 2014

Unit 3 - Statistics

Essential Tasks/Key Concepts Resources/Activities Textbook

Reference

Day of

Year

(S.ID.3) Determine the interquartile range and whether

there are outliers present in the data.

Understand the effects of outliers on measures of

center and dispersion.

Effects of outliers worksheet

http://illuminations.nctm.org/LessonDetail.aspx?ID=L455 (effects)

47-48

(S.ID.5)

Use two way frequency tables to make predictions.

Two Way Frequency Tables Worksheet

More Two Way Frequency Tables Worksheet

Conducting a survey to create a two way frequency table

49-50

Unit Review & Test 51-52

Page 9: Grade 8 Algebra 1 CP Curriculum Pacing Guide 2014 2015 ... · Day of Year (A.CED.1, A.REI.3) Model one step equations using either algebra tiles or Hands on Equations. Solve one-step

Grade 8 Algebra 1 CP – Curriculum Pacing Guide – 2014 – 2015 Second Nine Weeks

Anderson School District Five Page 9 Copyright © July 1, 2014

Unit 4 – Introduction to Functions N.Q.1 Use units as a way to understand problems and to guide the solution of multi-step problems; choose and interpret units consistently in formulas;

choose and interpret the scale and the origin in graphs and data displays.

N.Q.2 Define appropriate quantities for the purpose of descriptive modeling. A.SSE.1 Interpret expressions that represent a quantity in terms of its context.

A.SSE.1a Interpret parts of an expression, such as terms, factors, and coefficients. A.SSE.1b Interpret complicated expressions by viewing one or more of their parts as a single entity.

A.SSE.2 Use the structure of an expression to identify ways to rewrite it. A.REI.10 Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which

could be a straight line). A.REI.11 Explain why the x-coordinates of the points where the graphs of the equations and intersect are the solutions of the equation

; find the solutions approximately, e.g., using technology to graph the functions, make tables of values, or find successive approximations.

Include cases where and/or are linear, polynomial, rational, absolute value, exponential, and logarithmic functions.

F.IF.1 Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. If is a function and is an element of its domain, then denotes the output of corresponding to the input . The

graph of is the graph of the equation . F.IF.2 Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context. F.IF.3 Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers.

F.IF.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, ore negative; relative maximums and minimums; symmetries; end behavior; and periodicity.

F.IF.5 Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes. F.BF.1 Write a function that describes a relationship between two quantities.

F.BF.1a Determine an explicit expression, a recursive process, or steps for calculation from a context. F.BF.2 Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two

forms. F.BF.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.

F.LE.2 Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-

output pairs (including reading these from a table).

Page 10: Grade 8 Algebra 1 CP Curriculum Pacing Guide 2014 2015 ... · Day of Year (A.CED.1, A.REI.3) Model one step equations using either algebra tiles or Hands on Equations. Solve one-step

Grade 8 Algebra 1 CP – Curriculum Pacing Guide – 2014 – 2015 Second Nine Weeks

Anderson School District Five Page 10 Copyright © July 1, 2014

Unit 4 - Introduction to Functions

Essential Tasks/Key Concepts Resources/Activities Textbook

Reference

Day of

Year

(F.IF.4, F.BF.3) Represent mathematical data using graphs.

Introduce parent functions.

Interpreting stories as graphs worksheet

http://map.mathshell.org/materials/download.php?fileid=667 (Lesson on

interpreting stories into graphs)

53

(A.REI.10, F.IF.4)

Identify and represent patterns that describe linear functions.

Attack of the Worms Worksheet

Parameters of Real Life Modeling Worksheet

What’s Your Function Card Game

54-55

(A.REI.10, F.IF.4)

Identify and represent patterns that describe non-linear functions.

Quadratic Modeling Worksheet

Basketball Activity for Quadratics Worksheet

56

(N.Q.1, A.REI.10, F.IF.5)

Graph equations that represent linear functions by using an x|y chart.

Tables of Linear Patterns Worksheet

Graphing Linear Equations and Guess the Rule

http://its.guilford.k12.nc.us/act/grade8/act8.asp?ID=825 (packet that

progresses from x|y charts to solving by hand to using the GC)

57-58

(A.REI.11)

Graph a function using a graphing calculator and

use the calculator to solve the equation.

Lines Lines Everywhere on the GC Worksheet

Yoyo & Penny Problems to Explore Linear Functions Worksheet

59-60

(N.Q.2, A.SSE.1, A.SSE.1a, A.SSE.2)

Translate word problems into equations to represent the functions.

Cell phones and profit – linear modeling worksheet.

Pass the Basketball Worksheet

Linear Problems Worksheet

61

(F.IF.1, F.IF.2)

Determine whether a relation is a function. Find the domain and range and use function notation.

Linear Functions and patterns, tables and graphs Worksheet

Function Basics Worksheet

Algebra Discovery Activities (has 48 pages of ides)

Function Bridge

Function Flow Chart

Function Web

64

(A.SSE.1, A.SSE.1a, A.SSE.1b, F.IF.3, F.BF.1,

F.BF.1a, F.BF.2, F.LE.2) Identify and extend patterns in sequences.

Linear Relationships

Linear Function Application Problems

63-64

Unit Review & Test 65-66

Page 11: Grade 8 Algebra 1 CP Curriculum Pacing Guide 2014 2015 ... · Day of Year (A.CED.1, A.REI.3) Model one step equations using either algebra tiles or Hands on Equations. Solve one-step

Grade 8 Algebra 1 CP – Curriculum Pacing Guide – 2014 – 2015 Second Nine Weeks

Anderson School District Five Page 11 Copyright © July 1, 2014

Unit 5 – Linear Functions N.Q.1 Use units as a way to understand problems and to guide the solution of multi-step problems; choose and interpret units consistently in formulas;

choose and interpret the scale and the origin in graphs and data displays.

N.Q.2 Define appropriate quantities for the purpose of descriptive modeling. A.SSE.1 Interpret expressions that represent a quantity in terms of its context.

A.SSE.1a Interpret parts of an expression, such as terms, factors, and coefficients. A.SSE.2 Use the structure of an expression to identify ways to rewrite it.

A.CED.2 Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales. A.CED.3 Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or non-viable

options in a modeling context.

A.REI.12 Graph the solutions to a linear inequality in two variables as a half-plane (excluding the boundary in the case of a strict inequality), and graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes.

F.IF.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, ore negative; relative maximums and minimums; symmetries; end behavior; and periodicity.

F.IF.6 Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph.

F.IF.7 Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.

F.IF.7a Graph linear and quadratic functions and show intercepts, maxima, and minima. F.IF.7b Graph square root, cube root, and piecewise-defined functions, including step functions and absolute value functions.

F.BF.1a Determine an explicit expression, a recursive process, or steps for calculation from a context. F.BF.3 Identify the effect on the graph of replacing by and for specific values of (both positive and negative); find the

value of given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology.

F.BF.4a Solve an equation of the form for a simple function that has an inverse and write an expression for the inverse.

F.LE.1b Recognize situations in which one quantity changes at a constant rate per unit interval relative to another.

F.LE.2 Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table).

F.LE.5 Interpret the parameters in a linear or exponential function in terms of a context.

G.GPE.5* Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems (e.g., find the equation of a line parallel or perpendicular to a give line that passes through a given point).

S.ID.6a Fit a function to the data; use functions fitted to data to solve problems in the context of the data. Use given functions or choose a function suggested by the context. Emphasize linear, quadratic, and exponential models.

S.ID.6b Informally assess the fit of a function by plotting and analyzing residuals.

S.ID.6c Fit a linear function for a scatter plot that suggests a linear association. S.ID.7 Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data.

S.ID.8 Compute (using technology) and interpret the correlation coefficient of a linear fit. S.ID.9 Distinguish between correlation and causation.

Page 12: Grade 8 Algebra 1 CP Curriculum Pacing Guide 2014 2015 ... · Day of Year (A.CED.1, A.REI.3) Model one step equations using either algebra tiles or Hands on Equations. Solve one-step

Grade 8 Algebra 1 CP – Curriculum Pacing Guide – 2014 – 2015 Second Nine Weeks

Anderson School District Five Page 12 Copyright © July 1, 2014

Unit 5 - Linear Functions

Essential Tasks/Key Concepts Resources/Activities Textbook

Reference

Day of

Year

(F.IF.6, F.LE.1b, S.ID.7) Determine the rate of change from a table.

Find the slope of a line from a graph, table, and

two points.

Interpret slope in the context of the problem.

Exploring Slope Worksheet

Criminal Justice Slope Activity

Create a Foldable for Equations of Lines

Ski Slope Design

http://illuminations.nctm.org/LessonDetail.aspx?ID=L441 (Rate of Change)

http://commoncoremath.wikispaces.com/file/view/College+Board+Slope+Pa

cket.pdf (using toothpicks to explore slope)

http://illuminations.nctm.org/LessonDetail.aspx?id=L586 (pedal power

slope)

67-68

(N.Q.2, A.CED.2) Write and graph the equation of a direct variation

problem.

Write and graph the equation of an inverse

variation problem.

Direct Variation Practice 69-70

(F.BF.3, S.ID.7) Investigate the effects of changing parts of

y=mx+b.

Interpret the slope and the intercept in the contex

of the data.

Investigate slope intercept worksheet

Explore slope and intercept using washers worksheet

Algebra Aerobics

Linear Function Project

http://math.rice.edu/~lanius/Algebra/hottub.html (Hot tub...tell the story)

http://hotmath.com/hotmath_help/games/kp/kp_hotmath_sound.swf (Game

for students)

71

(A.SSE.1, A.SSE.1a, A.SSE.2, A.CED2, F.IF.4,

F.IF.7, F.IF.7a, F.BF.1a, F.BF.3, F.LE.2, F.LE.5) Write a linear equation using slope-intercept form.

Graph a linear equation that is in slope-intercept form.

Spaghetti Linear Lab

Using Slope Intercept Form to Graph

Game – Equation Graph Card Match

Stained Glass Window Graphs

http://quizlet.com/3510027/51-write-equations-in-slope-intercept-form-flash-

cards/ (to identify slope and y-intercepts) http://www.quia.com/cz/43460.html?AP_rand=664726840 (computer app to

write the equation of the line after identifying slope and intercept from

graph)

72-73

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Unit 5 - Linear Functions

Essential Tasks/Key Concepts Resources/Activities Textbook

Reference

Day of

Year

(A.SSE.1, A.SSE.1a, A.SSE.2, A.CED2, F.IF.4, F.IF.7, F.IF.7a, F.BF.1a, F.BF.3, F.LE.2, F.LE.5)

Write and graph linear equations using point-slope form.

Slippery Slope Activities to write equations Worksheets

https://gcps.desire2learn.com/d2l/lor/viewer/viewFile.d2lfile/6605/6567/slop

eintlab_print.html (Activity to draw pictures from equations of lines)

74-75

(N.Q.2, A.SSE.1, A.SSE.2, A.CED.2, F.IF.4, F.IF.7, F.IF.7a, F.BF.1a, F.BF.3, F.LE.2, F.LE.5)

Graph linear equations using the intercepts.

Write linear equations in standard form.

Game Matching Equations and Characteristics Worksheet

http://mathequalslove.blogspot.com/2012/12/standard-form-of-linear-

equation.html (idea for interactive notebook)

http://www.quia.com/rr/49074.html (Computer game using intercepts)

76-77

(G.GPE.5)

Determine whether lines are parallel, perpendicular, or neither.

Write the equation of parallel and perpendicular lines.

Parallel and perpendicular line investigation worksheet

Designing roads using parallel and perpendicular worksheet

Guided discovery parallel & perpendicular using computer app worksheet

Parallel and Perpendicular Race

78-79

(F.BF.4a) Find the inverse of a linear function.

Inverse of Linear Function Worksheet

Worksheet on finding inverses of linear worksheet

80

(N.Q.1, F.LE.5, S.ID.6a, S.ID.6c, S.ID.7, S.ID.8, S.ID.9)

Graph a scatter plot and write the equation of a

trend line or a line of best fit and use this equation to make predictions.

Distinguish between correlation and causation.

Cricket Chirps Worksheet

Notes on scatter plots and trend lines Worksheet

Human body proportions worksheet

Bucket Brigade

Tying Knots

http://illuminations.nctm.org/LessonDetail.aspx?ID=L298 (explore linear

functions)

81-82

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Unit 5 - Linear Functions

Essential Tasks/Key Concepts Resources/Activities Textbook

Reference

Day of

Year

(S.ID.6b) Find the residual and assess the fit of the line

based on the values of the residuals.

Hula hoop activity worksheet

Modeling real world data with regression worksheet

http://www.shodor.org/interactivate/discussions/FindingResiduals/

(interactive on computer for residuals)

83

(F.IF.7, F.IF.7b, F.BF.3) Graph absolute value equations and use

transformations of the absolute value function to graph absolute value equations.

Identify the vertex, slope, intercepts, domain and range of the absolute value equations.

Discovery Lesson on absolute value graphs worksheet

Transformations

84

(A.CED.3, A.REI.12)

Graph linear inequalities in two variables and use

linear inequalities to model real-world problems.

Kuta Graphing Inequality worksheet

Guided Practice Linear Inequalities worksheet

85

Unit Review and Test

http://www.superteachertools.com/jeopardyx/jeopardy-review-

game.php?gamefile=1298945667 (Review game)

86-87

Midterm Exam 88-90

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Unit 6 – Systems of Equations and Inequalities N.Q.2 Define appropriate quantities for the purpose of descriptive modeling.

N.Q.3 Choose a level of accuracy appropriate to limitations on measurement when reporting quantities.

A.CED.3 Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or non-viable options in a modeling context.

A.REI.5 Prove that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions.

A.REI.6 Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables. A.REI.12 Graph the solutions to a linear inequality in two variables as a half-plane (excluding the boundary in the case of a strict inequality), and graph the

solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes.

Unit 6 – Systems of Equations and Inequalities

Essential Tasks/Key Concepts Resources/Activities Textbook Reference

Day of Year

(A.REI.6)

Solve systems of linear equations by graphing.

http://www.learner.org/workshops/algebra/workshop3/lessonplan1.html

(right hand vs left hand)

http://illuminations.nctm.org/LessonDetail.aspx?id=L724 (supply &

demand) http://illuminations.nctm.org/LessonDetail.aspx?id=L271 (printing books)

91-92

(A.REI.6) Solve systems of linear equations using a graphing

calculator.

http://illuminations.nctm.org/LessonDetail.aspx?ID=L698 (escape from the

tomb)

93

(A.REI.6)

Solve systems of linear equations using substitution.

Fund Raiser Activity

Game: Systems of Equations Substitution

94-95

(A.REI.5, A.REI.6)

Solve systems of linear equations using elimination.

Elimination Worksheet (scavenger hunt) 96-97

(+A.REI.6)

Solve systems of linear equations using matrices

and the graphing calculator.

98

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Unit 6 – Systems of Equations and Inequalities

Essential Tasks/Key Concepts Resources/Activities Textbook

Reference

Day of

Year

(N.Q.2, N.Q.3, A.CED.3,A.REI.5, A.REI.6) Solve real-world application problems using

systems of equations, including distance-rate-time problems and mixture problems.

Solving Real Life Systems Problems worksheet

Systems Word Problems worksheet

Mixture Word Problems worksheet

Systems Short Response Questions

System Word Problems 1 and 2

Systems Trashketball

http://www.regentsprep.org/Regents/math/ALGEBRA/AE3/PracWord.htm

(real life problems)

99-100

(A.REI.12)

Solve a system of linear inequalities in two variables by graphing and use them to model real-

world problems.

Systems of linear inequalities worksheet

System of inequalities project

101

Unit Review & Test http://www.superteachertools.com/jeopardyx/jeopardy-review-

game.php?gamefile=1297688635 (review game)

102-103

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Unit 7 – Exponential Functions N.RN.1 Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values, allowing

for a notation for radicals in terms of rational exponents.

N.RN.2 Rewrite expressions involving radicals and rational exponents using the properties of exponents. A.SSE.1 Interpret expressions that represent a quantity in terms of its context.

A.SSE.1a Interpret parts of an expression, such as terms, factors, and coefficients. A.SSE.1b Interpret complicated expressions by viewing one or more of their parts as a single entity.

A.SSE.3c Use the properties of exponents to transform expressions for exponential functions. A.CED.2 Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.

A.REI.11 Explain why the x-coordinates of the points where the graphs of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) =

g(x); find the solutions approximately, e.g., using technology to graph the functions, make tables of values, or find successive approximations. Include

cases where f(x) and/or g(x) are linear, polynomial, rational, absolute value, exponential, and logarithmic functions.★

F.IF.3 Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers.

F.IF.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.★

F.IF.5 Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes.

F.IF.7 Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.

F.IF.7a Graph linear and quadratic functions and show intercepts, maxima, and minima. F.IF.7e Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and

amplitude.

F.IF.8b Use the properties of exponents to interpret expressions for exponential functions. F.IF.9 Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).

F.BF.1 Write a function that describes a relationship between two quantities. F.BF.1a Determine an explicit expression, a recursive process, or steps for calculation from a context.

F.BF.2 Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two

forms. F.BF.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.

F.LE.1c Recognize situations in which a quantity grows or decays by a constant percent rate per unit interval relative to another. F.LE.2 Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-

output pairs (including reading these from a table).

F.LE.5 Interpret the parameters in a linear or exponential function in terms of a context.

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Unit 7 – Exponential Functions

Essential Tasks/Key Concepts Resources/Activities Textbook

Reference

Day of

Year

(N.RN.1, N.RN.2)

Simplify expressions involving zero and negative exponents.

Negative exponent worksheet

http://classroom.jc-schools.net/basic/math-expon.html (Different exponent

games)

104-110

(N.RN.1) Multiply powers with the same base.

Dice and exponents worksheet

Exploring Rules of exponents worksheet

http://www.softschools.com/mathg.jsp (Comparing exponents)

(N.RN.1) Raise a power to a power and raise a product to a

power.

http://www.youtube.com/watch?v=z1T0_9NLufA (video of exponent rules)

(N.RN.1)

Divide powers with the same base and raise a quotient to a power.

http://pinterest.com/pdale/exponents/ (pinterest ideas)

(N.RN.2) Rewrite expressions involving radicals and rational

exponents.

Kuta worksheet on radicals and rational exponents 111-112

(A.SSE.1, A.CED.2, A.REI.11, F.IF.4, F.IF.5,

F.IF.7e, F.IF.9, F.LE.2) Evaluate and graph exponential functions.

Exponential graphs and the GC worksheet

113-114

(A.SSE.1, A.SSE.1a, A.SSE.1b, A.SSE.3c, A.CED.2, F.IF.4, F.IF.7, F.IF.8b, F.BF.1, F.BF.3, F.LE.1c,

F.LE.5) Model growth and decay using exponential

functions.

Exploring Exponential Growth worksheet

Paper folding activity

115-116

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Unit 7 – Exponential Functions

Essential Tasks/Key Concepts Resources/Activities Textbook

Reference

Day of

Year

(A.SSE.1, A.SSE.1a, F.IF.3, F.BF.1a, F.BF.2, F.LE.2)

Write and use recursive and explicit formulas for geometric sequences.

Use function notation to represent arithmetic sequences.

Exponential Hulk Worksheet

Fractals found on pages 20-24 of Various Activities Worksheet

http://transformededucator.blogspot.com/2011/09/arithmetic-series-bucky-

badger.html (Introduction to arithmetic sequences)

117

Unit Review and Test 118-119

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Unit 8 – Polynomials & Factoring A.SSE.1 Interpret expressions that represent a quantity in terms of its context.

A.SSE.1a Interpret parts of an expression, such as terms, factors, and coefficients.

A.SSE.1b Interpret complicated expressions by viewing one or more of their parts as a single entity. A.SSE.2 Use the structure of an expression to identify ways to rewrite it.

A.APR.1 Understand that polynomials from a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.

Unit 8 – Polynomials & Factoring

Essential Tasks/Key Concepts Resources/Activities Textbook Reference

Day of Year

(A.APR.1)

Classify polynomials by degree and by number of terms.

Add and subtract polynomials.

Algebra Tiles to combine polynomials worksheet

Mix and Match polynomials

http://handsonmathinhighschool.blogspot.com/2013/02/polynomial-

factoring-scavenger-hunt.html (scavenger hunt)

120

(A.APR.1)

Multiply a monomial by a polynomial. Factor a monomial from a polynomial.

https://sites.google.com/site/multiplyingpolynomialsresource/ (resources on

multiplying polynomials)

121

(A.APR.1) Multiply two binomials or a binomial by a

polynomial.

Multiply binomials and polynomials game

Graphic Organizer polynomials

Bull’s eye polynomial worksheet

Matching Polynomials

122-123

(A.APR.1)

Find the square of a binomial and find the product of a sum and difference.

124

(A.SSE.1a) Factor trinomials of the form .

Factoring Game

Factor cutout game

Connect Four Factor Game

Factoring Bingo

http://www.youtube.com/watch?v=OFSrINhfNsQ (Song…Teach me how to

factor)

125

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Unit 8 – Polynomials & Factoring

Essential Tasks/Key Concepts Resources/Activities Textbook

Reference

Day of

Year

(A.SSE.1, A.SSE.1a, A.SSE.1b) Factor trinomials of the form .

http://pinterest.com/leatchk/polys-factoring/ (pinterest ideas)

http://algebrafunsheets.com/blog/2008/11/22/slide-and-divide-method-of-

factoring-trinomials/ (Slide & divide method of factoring?)

126-127

(A.SSE.1, A.SSE.1a, A.SSE.1b, A.SSE.2)

Factor perfect square trinomials and the differences of two squares.

Factoring Around the Room 128

(A.SSE.1, A.SSE.1a, A.SSE.1b, A.SSE2) Factor higher degree polynomials by grouping.

Graphic organizer factoring

Factor by Grouping Worksheet

129

Unit Review and Test Hollywood Squares Factoring Game

Jeopardy Factor Review

130-133

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Unit 9 – Quadratic Functions & Equations N.RN.2 Rewrite expressions involving radicals and rational exponents using the properties of exponents.

N.Q.2 Define appropriate quantities for the purpose of descriptive modeling.

A.SSE.1 Interpret expressions that represent a quantity in terms of its context. A.SSE.3a Factor a quadratic expression to reveal the zeros on the function it defines.

A.APR.3* Identify zeros of polynomials when suitable factorizations are available, and use the zeros to construct a rough graph of the function defined by the polynomial.

A.CED.1 Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions.

A.CED.2 Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.

A.CED.4 Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations. A.REI.4b Solve quadratic equations by inspection (e.g., for ), taking square roots, completing the square, the quadratic formula and factoring, as

appropriate to the initial form of the equation. Recognize when the quadratic formula gives complex solutions and write them as for real

numbers and .

F.IF.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.★

F.IF.5 Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes.

F.IF.6 Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph.

F.IF.7 Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.

F.IF.7a Graph linear and quadratic functions and show intercepts, maxima, and minima.

F.IF.7b Graph square root, cube root, and piecewise-defined functions, including step functions and absolute value functions. F.IF.8a Use the process of factoring and completing the square in a quadratic function to show zeros, extreme values, and symmetry of the graph, and

interpret these in terms of a context. F.IF.9 Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).

F.BF.1 Write a function that describes a relationship between two quantities.

F.BF.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.

F.LE.3 Observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or (more

generally) as a polynomial function.

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Unit 9 – Quadratic Functions & Equations

Essential Tasks/Key Concepts Resources/Activities Textbook

Reference

Day of

Year

(A.SSE.1, A.CED.2, F.IF.4, F.IF.5, F.IF.7, F.IF.7a, F.IF.7b, F.BF.3)

Graph quadratic functions using x|y charts and transformations.

Identify the vertex as a maximum or a minimum.

Identify the domain and range from the graph of a

quadratic function.

Who Shares my Quadratic function Worksheet

Graphing Quadratic Function Worksheet

Transformation PowerPoint

134-135

(A.SSE.1, A.CED.2, F.IF.4, F.IF.7, F.IF.7a, F.IF.9, F.BF.1, F.BF.3)

Find the vertex and axis of symmetry using

and use it to graph quadratic functions of

the form .

Kangaroo functions Worksheet 136

(F.IF.6, F.LE.3) Determine the average rate of change between

two points on a quadratic function.

Average Rate of Change for Quadratics Worksheet

Rate of change activities from linear to nonlinear Worksheet

137

(N.Q.2, A.CED.1, A.CED.4, A.APR.3, A.REI.4b)

Solve quadratic equations by graphing, using the graphing calculator, and by square roots.

http://mathbits.com/MathBits/TISection/Algebra2/quadraticequations.htm

(instructions)

138-139

(A.SSE.3a, A.CED.1, A.REI.4b, F.IF.8a)

Solve quadratic equations by factoring.

Puzzle to solve polynomial 140

(A.SSE.3a, A.CED.1, A.REI.4b, F.IF.8a)

Applications of Quadratics

Golf Ball Toss

Hole in Bottle Quadratics

Pass the Ball Activity

141-142

(A.CED.2) Write the equation of a quadratic function when

given its roots.

143

Unit Review and Test Review Graphing Quadratics

Chutes and Ladders Review for Quadratics

144-145

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Unit 10 – More on Quadratic Functions N.Q.3 Choose a level of accuracy appropriate to limitations on measurement when reporting quantities.

A.SSE.1 Interpret expressions that represent a quantity in terms of its context.

A.SSE.1a Interpret parts of an expression, such as terms, factors, and coefficients. A.SSE.1b Interpret complicated expressions by viewing one or more of their parts as a single entity. A.SSE.3b Complete the square in a quadratic expression to reveal the maximum or minimum value of the function it defines. A.CED.1 Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and

simple rational and exponential functions. A.CED.3 Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or non-viable

options in a modeling context.

A.REI.1 Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method.

A.REI.4 Solve quadratic equations in one variable. A.REI.4a Use the method of completing the square to transform any quadratic equation in into an equation of the form that has the same

solutions. Derive the quadratic formulas from this form. A.REI.4b Solve quadratic equations by inspection (e.g., for ), taking square roots, completing the square, the quadratic formula and factoring, as

appropriate to the initial form of the equation. Recognize when the quadratic formula gives complex solutions and write them as for real

numbers and .

A.REI.7* Solve a simple system consisting of a linear equation and a quadratic equation in two variables algebraically and graphically. A.REI.11 Explain why the x-coordinates of the points where the graphs of the equations and intersect are the solutions of the equation

; find the solutions approximately, e.g., usimg technology to graph the functions, make tables of values, or find successive

approximations. Include cases where and /or are linear, polynomial, rational, absolute value, exponential, and logarithmic functions.

F.IF.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.★

F.IF.8 Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.

F.BF.1b Combine standard function types using arithmetic operations. F.LE.1a Prove that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals.

F.LE.2 Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (including reading these from a table).

F.LE.3 Observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or (more

generally) as a polynomial function. S.ID.6a Fit a function to the data; use functions fitted to data to solve problems in the context of the data. Use given functions or choose a function

suggested by the context. Emphasize linear and exponential models. S.ID.6b Informally assess the fit of a function by plotting and analyzing residuals.

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Unit 10 – More on Quadratic Functions

Essential Tasks/Key Concepts Resources/Activities Textbook

Reference

Day of

Year

(N.Q.3, A.SSE.1, A.SSE.1a, A.SSE.1b, A.SSE.3b, A.CED.1, A.REI.1, A.REI.4, A.REI.4a, A.REI.4b,

F.IF.8) Complete the square to write a quadratic function

in vertex form and use it to graph the quadratic

and identify the max/min, line of symmetry, domain, and range.

146-147

(N.Q.3, A.SSE.1, A.SSE.1a, A.SSE.1b, A.SSE.3b, A.CED.1, A.REI.1, A.REI.4, A.REI.4a, A.REI.4b,

F.IF.8) Complete the square to solve a quadratic

equation.

148-149

(N.Q.3, A.SSE.1, A.CED.1, A.REI.4, A.REI.4a, A.REI.4b)

Solve quadratic equations using the quadratic

formula.

Use the discriminant to identify the nature of the roots of a quadratic equation.

http://edhelper.com/QuadraticEquations15.htm (worksheet) 150-151

(F.IF.4, F.BF.1b, F.LE.1a, F.LE.2, F.LE.3, S.ID.6a) Model data using linear, quadratic, and

exponential functions.

Quadratic Worms Worksheet

Exponential Modeling Worksheet

Linear Patterns Worksheet

Function Challenges Worksheet

152

(S.ID.6b)

Assess the fit of a function by plotting and analyzing residuals using a graphing calculator.

Use the regression functions on the graphing calculator to model linear, quadratic, and

exponential functions.

153

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Unit 10 – More on Quadratic Functions

Essential Tasks/Key Concepts Resources/Activities Textbook

Reference

Day of

Year

(A.CED.3, A.REI.7, A.REI.11) Solve systems of linear and quadratic equations.

http://mathbits.com/MathBits/TISection/Algebra1/LinQuad.htm (Calculator

instructions are shown.

154-155

Unit Review and Test Applications of Quadratics worksheet 156-157

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Anderson School District Five Page 28 Copyright © July 1, 2014

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Grade 8 Algebra 1 CP – Curriculum Pacing Guide – 2014 – 2015 Fourth Nine Weeks

Anderson School District Five Page 29 Copyright © July 1, 2014

Unit 11 – Radical Expressions & Equations* A.CED.2 Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.

A.REI.2* Solve simple rational and radical equations in one variable, and vie examples showing how extraneous solutions may arise.

F.IF.7b Graph square root, cube root, and piece-wise functions, including step-functions and absolute value functions. G.SRT.8* Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.

Unit 11 – Radical Expressions & Equations*

Essential Tasks/Key Concepts Resources/Activities Textbook

Reference

Day of

Year

(+G.SRT.8) Solve problems using the Pythagorean Theorem.

Use the Pythagorean Theorem to identify right

triangles.

Pythagorean Theorem Word Problems

http://www.wou.edu/~burtonl/courses/math494.594/PythagoreanTheorem

JellyBeansJohnson.pdf (Jelly Beans to prove)

158

(+A.REI.2)

Simplify radicals involving products and quotients.

Simplify Radicals Worksheet 159-160

(+A.REI.2)

Perform operations with radicals.

161-162

(+A.REI.2)

Solve radical equations.

Solve Radical Equation Group Activity

Worksheet on Solving Radical Equations

163

(+A.CED.2, F.IF.7b)

Graph square root functions using transformations and identify the domain and range.

Radical Transformations Worksheet 165

Unit Review and Test 165-166

End of Course Exam 167-180