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Unit 1 – Expressions, Equations, and InequalitiesModule 1 – Expressions and Equations
Start Date – 8/20/14 (8/18, 8/19 intro days)End Date – 8/27/14
Section Number and Topic Standards Learning TargetInstructional Time Frame
Additional Resources
Lesson 1.1: Algebraic Expressions ContentMAFS.7.EE.1.1MAFS.7.EE.1.2
PracticeMP.4.1
Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.
1 Day Adding on the Number Line
Order of Operations
Lesson 1.2: One-Step Equations with Rational Coefficients
ContentMAFS.7.EE.2.4MAFS.7.EE.2.4b
PracticeMP.7.1
Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.
1 Day AlgebraNation.comSection 3: Video 1Section 3: Video 2Section 3: Video 3
Modeling and Solving Two-Step Equations
Solving Two-Step EquationsSolving Linear Inequalities in One Variable
Lesson 1.3: Writing Two-Step Equations
ContentMAFS.7.EE.2.4
PracticeMP.1.1
Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.
1 DayModeling and Solving Two-Step Equations
Lesson 1.4: Solving Two-Step Equations
ContentMAFS.7.EE.2.4MAFS.7.EE.2.4a
PracticeMP.4.1
Solve word problems leading to equations of the form px + q = r andp(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach.
2 Days AlgebraNation.comSection 3: Video 1Section 3: Video 2Section 3: Video 3
Solving Two-Step Equations
Function Machines 3Review and Assessment Content
MAFS.7.EE.1.1MAFS.7.EE.1.2MAFS.7.EE.2.4MAFS.7.EE.2.4b
Module 1 Quiz 1 Day
Unit 1 - Expressions, Equations, and InequalitiesModule 2 – Inequalities
Start Date – 8/28/14 End Date – 9/8/14 (9/1 Schools closed)
Section Number and Topic Standards Learning TargetInstructional Time Frame
Additional Resources
Lesson 2.1: Writing and Solving One-Step Inequalities
ContentMAFS.7.EE.2.4bMAFS.7.EE.2.4
PracticeMP.1.1
Solve word problems leading to inequalities of the form px+q> r or px+q<r, where p, q, and r are specific rational numbers. Graph the solution set of the inequality and interpret it in the context of the problem.
2 Days AlgebraNation.comSection 3: Video 4
Solving Linear Inequalities in One Variable
Lesson 2.2: Writing Two-Step Inequalities
ContentMAFS.7.EE.2.4
PracticeMP.2.1
Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.
1 Day Linear Inequalities in Two Variables - Activity A
Lesson 2.3: Solving Two-Step Inequalities
ContentMAFS.7.EE.2.4b
PracticeMP.5.1
Solve word problems leading to inequalities of the form px+q> r or px+q<r, where p, q, and r are specific rational numbers. Graph the solution set of the inequality and interpret it in the context of the problem.
1 Day AlgebraNation.comSection 3: Video 4
Linear Inequalities in Two Variables - Activity A
Review and Assessment ContentMAFS.7.EE.2.4MAFS.7.EE.2.4b
Module 2 Quiz 1 Day
Review and Assessment ContentMAFS.7.EE.1.1MAFS.7.EE.1.2MAFS.7.EE.2.4MAFS.7.EE.2.4b
Unit 1 ReviewUnit 1 Test
2 Days
Unit 2 - GeometryModule 3 – Modeling Geometric Figures
Start Date – 9/9/14 End Date – 9/17/14
Section Number and Topic Standards Learning Target Instructional Time Frame
Additional Resources
Lesson 3.1: Similar Shapes and Scale Drawings
ContentMAFS.7.G.1.1
PracticeMP.4.1
Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale.
1 Day Perimeters and Areas of Similar Figures
Lesson 3.2: Geometric Drawings ContentMAFS.7.G.1.2
PracticeMP.5.1
Draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle.
1 Day Classifying Triangles
Lesson 3.3: Cross Sections ContentMAFS.7.G.1.3
PracticeMP.4.1
Describe the two-dimensional figures that result from slicing three-dimensional figures, as in plane sections of right rectangular prisms and right rectangular pyramids.
1 Day
Lesson 3.4: Angle Relationships ContentMAFS.7.G.2.5
PracticeMP.2.1
Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple equations for an unknown angle in a figure
2 Days Investigating Angle Theorems - Activity BTriangle Angle Sum - Activity B
Review and Assessment ContentMAFS.7.G.1.1MAFS.7.G.1.2MAFS.7.G.1.3MAFS.7.G.2.5
Module 3 ReviewModule 3 Quiz
2 Days
Unit 2 - GeometryModule 4 – Circumference, Area, and Volume
Start Date – 9/18/14End Date – 9/30/14 (9/25 – Schools closed)
Section Number and Topic Standards Learning Target Instructional Time Frame
Additional Resources
Lesson 4.1: Circumference ContentMAFS.7.G.2.4
PracticeMP.7.1
Know the formulas for the area and circumference of a circle and use them to solve problems; given an informal derivation of the relationship between the circumference and area of a circle.
1 day Circles: Circumference and Area
Lesson 4.2: Area of Circles ContentMAFS.7.G.2.4
PracticeMP.4.1
Know the formulas for the area and circumference of a circle and use them to solve problems; given an informal derivation of the relationship between the circumference and area of a circle.
1 day Circles: Circumference and Area
Lesson 4.3: Area of Composite Figures ContentMAFS.7.G.2.6
PracticeMP.5.1
Solve real-world and mathematical problems involving area, volume and surface area of two- and three- dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.
1 day Area of ParallelogramsPrisms and Cylinders - Activity A
Lesson 4.4: Solving Surface Area Problems
ContentMAFS.7.G.2.6
PracticeMP.4.1
Solve real-world and mathematical problems involving area, volume and surface area of two- and three- dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.
1 day Surface and Lateral Area of Prisms and Cylinders
Lesson 4.5: Solving Volume Problems ContentMAFS.7.G.2.6
PracticeMP.7.1
Solve real-world and mathematical problems involving area, volume and surface area of two- and three- dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.
1 day Prisms and Cylinders - Activity A
Review and Assessment ContentMAFS.7.G.2.4MAFS.7.G.2.6
Module 4 Quiz 1 day
Review and Assessment ContentMAFS.7.G.1.1MAFS.7.G.1.2MAFS.7.G.1.3MAFS.7.G.2.5MAFS.7.G.2.4MAFS.7.G.2.6
Unit 2 ReviewUnit 2 Test
2 days
Unit 3 – Statistics and SamplingModule 5 – Random Samples and Populations
Start Date – 10/1/14End Date – 10/6/14
Section Number and Topic Standards Learning Target Instructional Time Frame
Additional Resources
Lesson 5.1: Populations and Samples ContentMAFS.7.SP.1.1
PracticeMP.6.1
Understand that statistics can be used to gain information about a population by examining a sample of the population; generalizations about a population from a sample are valid only if the sample is representative of that population.
1 days Polling: Neighborhood
Probability Simulations
Estimating Population Size
Populations and SamplesLesson 5.2: Making Inferences From a Random Sample
ContentMAFS.7.SP.1.2MAFS.7.SP.1.2cMAFS.7.SP.1.1
PracticeMP.4.1
Use data from a random sample to draw inferences about a population with an unknown characteristic of interest. Generate multiple samples (or simulated samples) of the same size to gauge the variation in estimates or predictions.
1 day Probability Simulations
Estimating Population Size
Lesson 5.3: Generating Random Samples ContentMAFS.7.SP.1.2
PracticeMP.5.1
Use data from a random sample to draw inferences about a population with an unknown characteristic of interest. Generate multiple samples (or simulated samples) of the same size to gauge the variation in estimates or predictions.
1 day Populations and Samples
Review and Assessment ContentMAFS.7.SP.1.1MAFS.7.SP.1.2MAFS.7.SP.1.2c
Module 5 Quiz 1 day
Unit 3 - Statistics and SamplingModule 6 – Analyzing and Comparing Data
Start Date – 10/7/14End Date – 10/15/14
Section Number and Topic Standards Learning Target Instructional Time Frame
Additional Resources
Lesson 6.1: Comparing Data Displayed in Dot Plots
ContentMAFS.7.SP.2.4MAFS.7.SP.2.3
PracticeMP.7.1
Use measures of center and measures of variability for numerical data from random samples to draw informal comparative inferences about two populations.
1 day Describing Data Using Statistics
Mean, Median and ModeMovie Reviewer (Mean and Median)
Lesson 6.2: Comparing Data Displayed in Box Plots
ContentMAFS.7.SP.2.3MAFS.7.SP.2.4
PracticeMP.2.1
Informally assess the degree of visual overlap of two numerical data distributions with similar variabilities, measuring the difference between the centers by expressing it as a multiple of a measure of variability.
1 days Box-and-Whisker Plots
Lesson 6.3: Using Statistical Measures to Compare Populations
ContentMAFS.7.SP.2.3MAFS.7.SP.2.4
PracticeMP.6.1
Informally assess the degree of visual overlap of two numerical data distributions with similar variabilities, measuring the difference between the centers by expressing it as a multiple of a measure of variability.
2 days Describing Data Using Statistics
Mean, Median and ModeMovie Reviewer (Mean and Median)Reaction Time 1 (Graphs and Statistics)Reaction Time 2 (Graphs and Statistics)
Review and Assessment ContentMAFS.7.SP.2.3MAFS.7.SP.2.4
Module 6 Quiz 1 day
Review and Assessment ContentMAFS.7.SP.1.1MAFS.7.SP.1.2MAFS.7.SP.1.2c MAFS.7.SP.2.3MAFS.7.SP.2.4
Unit 3 ReviewUnit 3 Test
2 days
Unit 4 - ProbabilityModule 7 – Experimental Probability
Start Date – 10/16/14End Date – 10/23/14 (10/23 – Early release)
Section Number and Topic Standards Learning Target Instructional Time Frame
Additional Resources
Lesson 7.1: Probability ContentMAFS.7.SP.3.5MAFS.7.SP.3.7a
PracticeMP.6.1
Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring and develop a uniform probability model by assigning equal probability to all outcomes, and use the model to determine probabilities of events.
2 days Spin the Big Wheel! (Probability)
Lesson 7.2: Experimental Probability of Simple Events
ContentMAFS.7.SP.3.6MAFS.7.SP.3.7b
PracticeMP.4.1
Approximate the probability of a chance event by collecting data on the chance process that produces it and observing its long-run relative frequency, and predict the approximate frequency given the probability and develop a probability model (which may not be uniform) by observing frequencies in data generated from a chance process.
1 day Spin the Big Wheel! (Probability)
Lesson 7.3: Experimental Probability of Compound Events
ContentMAFS.7.SP.3.8MAFS.7.SP.3.8aMAFS.7.SP.3.8bMAFS.7.SP.3.8c
PracticeMP.2.1
Find probabilities of compound events using lists, tables, tree diagrams, and simulations and understand that, just as with simple events, the probability of a compound event is the fraction of outcomes in the sample space for which the compound event occurs.
1 day Independent and Dependent Events
Lesson 7.4: Making Predictions with Experimental Probability
ContentMAFS.7.SP.3.6
PracticeMP.4.1
Approximate the probability of a chance event by collecting data on the chance process that produces it and observing its long-run relative frequency, and predict the approximate frequency given the probability.
1 day Spin the Big Wheel! (Probability)
Review and Assessment ContentMAFS.7.SP.3.5MAFS.7.SP.3.6MAFS.7.SP.3.7aMAFS.7.SP.3.7bMAFS.7.SP.3.8MAFS.7.SP.3.8aMAFS.7.SP.3.8bMAFS.7.SP.3.8c
Module 7 Quiz 1 day
Unit 4 - ProbabilityModule 8 – Theoretical Probability and Simulations
Start Date – 10/27/14End Date – 11/7/14 (11/4 – Teacher planning)
Section Number and Topic Standards Learning Target Instructional Time Frame
Additional Resources
Lesson 8.1: Theoretical Probability of Simple Events
ContentMAFS.7.SP.3.7aMAFS.7.SP.3.6MAFS.7.SP.3.7
PracticeMP.7.1
Develop a uniform probability model by assigning equal probability to all outcomes, and use the model to determine probabilities of events and approximate the probability of a chance event by collecting data on the chance process that produces it and observing its long-run relative frequency, and predict the approximate relative frequency given the probability.
1 day Spin the Big Wheel! (Probability)
Probability Simulations
Theoretical and Experimental Probability
Lesson 8.2: Theoretical Probability of Compound Events
ContentMAFS.7.SP.3.8MAFS.7.SP.3.8aMAFS.7.SP.3.8b
PracticeMP.2.1
Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation and understand that, just as with simple events, the probability of a compound event is the fraction of outcomes in the sample space for which the compound event occurs.
2 days Independent and Dependent Events
Lesson 8.3: Making Predications with Theoretical Probability
ContentMAFS.7.SP.3.6MAFS.7.SP.3.7a
PracticeMP.4.1
Approximate the probability of a chance event by collecting data on the chance process that produces it and observing its long-run relative frequency, and predict the approximate relative frequency given the probability and develop a uniform probability model by assigning equal probability to all outcomes, and use the model to determine probabilities of events.
2 days Spin the Big Wheel! (Probability)
Lesson 8.4: Using Technology to Conduct a Simulation
ContentMAFS.7.SP.3.8cMAFS.7.SP.3.8
PracticeMP.5.1
Design and use a simulation to generate frequencies for compound events and find probabilities of compound events using organized lists, tables, tree diagrams, and simulation.
1 day Independent and Dependent Events
Review and Assessment ContentMAFS.7.SP.3.6MAFS.7.SP.3.7MAFS.7.SP.3.7aMAFS.7.SP.3.8MAFS.7.SP.3.8aMAFS.7.SP.3.8bMAFS.7.SP.3.8c
Module 8 Quiz 1 day
Review and Assessment ContentMAFS.7.SP.3.5MAFS.7.SP.3.6MAFS.7.SP.3.7aMAFS.7.SP.3.7bMAFS.7.SP.3.8MAFS.7.SP.3.8aMAFS.7.SP.3.8bMAFS.7.SP.3.8c
Unit 4 ReviewUnit 4 Test
2 days
Unit 5 – Real Numbers, Exponents, and Scientific NotationModule 9 – Real Numbers
Start Date – 11/10/14 End Date – 11/17/14 (11/11 Schools closed)
Section Number and Topic Standards Learning Target Instructional Time Frame
Additional Resources
Lesson 9.1: Rational and Irrational Numbers
ContentMAFS.8.NS.1.1MAFS.8.NS.1.2MAFS.8.EE.1.1
PracticeMP.6.1
Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion which repeats eventually into a rational number.
2 days Improper Fractions and Mixed NumbersPercents, Fractions, and DecimalsOrdering and Approximating Square Roots
Lesson 9.2: Sets of Real Numbers ContentMAFS.8.NS.1.1
PracticeMP.7.1
Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion which repeats eventually into a rational number.
1 day
Lesson 9.3: Ordering Real Numbers ContentMAFS.8.NS.1.2
PracticeMP.4.1
Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions.
1 day Ordering and Approximating Square Roots
Review and Assessment ContentMAFS.8.NS.1.1MAFS.8.NS.1.2MAFS.8.EE.1.1
1 day
Unit 5 – Real Numbers, Exponents, and Scientific NotationModule 10 – Exponents and Scientific Notation
Start Date – 11/18/14End Date – 12/1/14 (11/26, 11/27, 11/28 Schools closed)
Section Number and Topic Standards Learning Target Instructional Time Frame
Additional Resources
Lesson 10.1: Integer Exponents ContentMAFS.8.EE.1.1
PracticeMP.8.1
Know and apply the properties of integer exponents to generate equivalent numerical expressions.
1 day AlgebraNation.comPre-Algebra Skills: Video 8
Dividing Exponential ExpressionsExponents and Power RulesMultiplying Exponential Expressions
Lesson 10.2: Scientific Notation with Positive Powers of 10
ContentMAFS.8.EE.1.3
PracticeMP.4.1
Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities, and to express how many times as much one is than the other.
1 day Unit Conversions 2 - Scientific Notation and Significant Digits
Lesson 10.3: Scientific Notation with Negative Powers of 10
ContentMAFS.8.EE.1.3
PracticeMP.2.1
Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities, and to express how many times as much one is than the other.
1 day Unit Conversions 2 - Scientific Notation and Significant Digits
Lesson 10.4: Operations with Scientific Notation
ContentMAFS.8.EE.1.4
PracticeMP.1.1
Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. Use scientific notation and choose units of appropriate size for measurements of very large or very small quantities ... . Interpret scientific notation that has been generated by technology.
1 day Unit Conversions 2 - Scientific Notation and Significant Digits
Review and Assessment ContentMAFS.8.EE.1.1MAFS.8.EE.1.3MAFS.8.EE.1.4
Module 10 Quiz 1 day
Review and Assessment ContentMAFS.8.NS.1.1MAFS.8.NS.1.2MAFS.8.EE.1.1MAFS.8.EE.1.3MAFS.8.EE.1.4
Unit 5 ReviewUnit 5 Test
2 days
Unit 6A – Proportional and Nonproportional RelationshipsModule 11 – Solving Linear Equations
Start Date – 12/02/14 End Date – 12/07/14
Module Number and Topic Standards Learning TargetInstructional Time Frame
Additional Resources
Lesson 11.1: Representing Proportional Relationships
ContentMAFS.8.EE.2.6MAFS.8.F.2.4
PracticeMP.4.1
Use similar triangles to explain why slope m is the same between any two distinct points on a non-vertical line in the coordinate plane; derive the equation y=mx for a line through the origin and the equation y=mx+b for a line intercepting he vertical axis at b.Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these values from a table or graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or table of values.
1 Day Point-Slope Form of a Line - Activity APoints, Lines, and EquationsSlope - Activity BSlope-Intercept Form of a Line - Activity B
Lesson 11.2: Rate of Change and Slope ContentMAFS.8.F.2.4
PracticeMP.7.1
Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these values from a table or graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or table of values.
1 Day AlgebraNation.comSection 5: Video 2
Distance-Time (metric)Distance-Time Velocity-Time (metric)Slope - Activity B
Lesson 11.3: Interpreting the Unit Rate as Slope
ContentMAFS.8.EE.2.5MAFS.8.F.1.2MAFS.8.F.2.4
PracticeMP.4.1
Graph proportional relationships, interpreting the unit rate as a slope of the graph. Compare two different proportional relationships represented in two different ways.Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these values from a table or graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or table of values.
1 DayDistance-Time (metric)Distance-Time Velocity-Time (metric)Slope - Activity B
Review and Assessment ContentMAFS.8.EE.2.5MAFS.8.EE.2.6MAFS.8.F.1.2MAFS.8.F.2.4
Module 11 Quiz 1 Day
Unit 6A – Proportional and Nonproportional RelationshipsModule 12 – Nonproportional Relationships
Start Date – 12/08/14 End Date – 12/17/14
Module Number and Topic Standards Learning TargetInstructional Time Frame
Additional Resources
Lesson 12.1: Representing Linear Nonproportional Relationships
ContentMAFS.8.F.1.3
PracticeMP.4.1
Interpret the equation y=mx+b as defining a linear function, whose graph is a straight line; give examples of functions that are not linear.
1 Day
Lesson 12.2: Determining Slope and y-intercept
ContentMAFS.8.EE.2.6MAFS.8.F.2.4
PracticeMP.7.1
Use similar triangles to explain why slope m is the same between any two distinct points on a non-vertical line in the coordinate plane; derive the equation y=mx for a line through the origin and the equation y=mx+b for a line intercepting he vertical axis at b.Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these values from a table or graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or table of values.
1 Day AlgebraNation.comSection 5: Video 2Section 6: Video 1
Point-Slope Form of a Line - Activity APoints, Lines, and EquationsSimilar Figures - Activity ASlope - Activity BSlope-Intercept Form of a Line - Activity B
Lesson 12.3: Graphing Linear Nonproportional Relationships using Slope and y-intercept
ContentMAFS.8.F.2.4MAFS.8.F.1.3
PracticeMP.6.1
Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these values from a table or graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or table of values.Interpret the equation y=mx+b as defining a linear function, whose graph is a straight line; give examples of functions that are not linear.
1 Day Cat and Mouse (Modeling with Linear Systems) - Activity B
Lesson 12.4: Proportional and Nonproportional Situations
ContentMAFS.8.F.1.2
PracticeMP.6.1
Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).
1 Day Distance-Time (metric)Distance-Time Velocity-Time (metric)
Review and Assessment ContentMAFS.8.F.1.2MAFS.8.F.1.3MAFS.8.F.2.4MAFS.8.EE.2.6
Module 12 Quiz 1 Day
Review and Assessment ContentMAFS.8.EE.2.5MAFS.8.EE.2.6MAFS.8.F.1.2MAFS.8.F.1.3MAFS.8.F.2.4
Unit 6A ReviewUnit 6A Test
2 Days
Unit 6B – Writing Linear Equations and FunctionsModule 13 – Writing Linear Equations
Start Date – 01/05/15 End Date – 01/09/15
Module Number and Topic Standards Learning TargetInstructional Time Frame
Additional Resources
Lesson 13.1: Writing Linear Equations and Situations from Graphs
ContentMAFS.8.F.2.4
PracticeMP.2.1
Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these values from a table or graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or table of values.
1 Day Distance-Time (metric)Distance-Time Velocity-Time (metric)Introduction to FunctionsLinear FunctionsPoint-Slope Form of a Line - Activity APoints, Lines, and EquationsSlope-Intercept Form of a Line - Activity B
Lesson 13.2: Writing Linear Equations from a Table
ContentMAFS.8.F.2.4
PracticeMP.4.1
Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these values from a table or graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or table of values.
1 Day Distance-Time (metric)Distance-Time Velocity-Time (metric)Introduction to FunctionsLinear FunctionsPoint-Slope Form of a Line - Activity APoints, Lines, and EquationsSlope-Intercept Form of a Line - Activity B
Lesson 13.3: Linear Relationships and Bivariate Data
ContentMAFS.8.SP.1.1MAFS.8.SP.1.2MAFS.8.SP.1.3
Construct and interpret scatter plots for bivariate measurement data to investigate patterns of association between two quantities. Describe patterns such as clustering, outliers, positive or negative association, linear association, and nonlinear association.Know that straight lines are widely used to model relationships between two quantitative variables. For scatter plots that suggest a linear association, informally fit a straight line, and informally assess the model fit by judging the closeness of the data points to a line.Use the equation of a linear model to solve problems in the context of bivariate measurement data, interpreting slope and intercept.
2 Days CorrelationLeast-Squares Best Fit LinesTrends in Scatter PlotsSolving Using Trend Lines
Review and Assessment ContentMAFS.8.F.2.4MAFS.8.SP.1.1MAFS.8.SP.1.2MAFS.8.SP.1.3
Module 13 Quiz 1 Day
Unit 6B – Writing Linear Equations and FunctionsModule 14 – Functions
Start Date – 01/12/15 End Date – 01/23/15 (01/19 – Schools closed)
Module Number and Topic Standards Learning TargetInstructional Time Frame
Additional Resources
Lesson 14.1: Identifying and Representing Functions
ContentMAFS.8.F.1.1
PracticeMP.4.1
Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.
2 Days AlgebraNation.comSection 2: Video 2
Introduction to FunctionsLinear Functions
Lesson 14.2: Describing Functions ContentMAFS.8.F.1.3MAFS.8.F.1.1
PracticeMP.6.1
Interpret the equation y=mx+b as defining a linear function, whose graph is a straight line; give examples of functions that are not linear. Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.
1 Day Introduction to FunctionsLinear Functions
Lesson 14.3: Comparing Functions ContentMAFS.8.F.1.2MAFS.8.EE.2.5MAFS.8.F.2.4
PracticeMP.3.1
Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).Graph proportional relationships, interpreting the unit rate as a slope of the graph. Compare two different proportional relationships represented in different ways. Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these values from a table or graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or table of values.
2 Days Function Machines 2 (Functions, Tables, and Graphs)Function Machines 3 (Functions and Problem Solving)Introduction to FunctionsLinear FunctionsPoints, Lines, and Equations
Lesson 14.4: Analyzing Graphs ContentMAFS.8.F.2.5
PracticeMP.4.1
Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g. where the function is increasing or decreasing, linear or nonlinear). Sketch a graph that exhibits the qualitative features of a function that has been described verbally.
1 Day Distance-Time (metric)
Review and Assessment ContentMAFS.8.F.1.1MAFS.8.F.1.2MAFS.8.F.1.3MAFS.8.F.2.4MAFS.8.F.2.5MAFS.8.EE.2.5
Module 14 Quiz 1 Day
Review and Assessment ContentMAFS.8.F.1.1MAFS.8.F.1.2MAFS.8.F.1.3MAFS.8.F.2.4MAFS.8.F.2.5MAFS.8.EE.2.5MAFS.8.SP.1.1MAFS.8.SP.1.2MAFS.8.SP.1.3
Unit 6B ReviewUnit 6B Test
2 days
Unit 7 – Solving Equations and Systems of EquationsModule 15 – Solving Linear Equations
Start Date – 01/26/15End Date – 02/03/15
Module Number and Topic Standards Learning TargetInstructional Time Frame
Additional Resources
Lesson 15.1: Equations with Variables on Both Sides
ContentMAFS.8.EE.3.7MAFS.8.EE3.7b
PracticeMP.4.1
Solve linear equations in one variable.Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using he distributive property and collecting like terms.
2 Days AlgebraNation.comSection 3: Video 1
Modeling and Solving Two-Step EquationsSolving Equations By Graphing Each SideSolving Two-Step Equations
Lesson 15.2: Equations with Rational Numbers
ContentMAFS.8.EE.3.7MAFS.8.EE3.7b
PracticeMP.6.1
Solve linear equations in one variable.Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using he distributive property and collecting like terms.
1 Day AlgebraNation.comSection 3: Video 1Section 3: Video 2Section 3: Video 3
Modeling and Solving Two-Step EquationsSolving Equations By Graphing Each SideSolving Two-Step Equations
Lesson 15.3: Equations with the Distributive Property
ContentMAFS.8.EE3.7b
PracticeMP.1.1
Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using he distributive property and collecting like terms.
2 Days AlgebraNation.comSection 3: Video 1
Modeling and Solving Two-Step EquationsSolving Equations By Graphing Each SideSolving Two-Step Equations
Lesson 15.4: Equations with Many Solutions or No Solutions
ContentMAFS.8.EE.3.7a
PracticeMP.8.1
Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions. Show which of these possibilities is the case by successively transforming the given equation into simpler forms, until an equivalent equation of the form x=a, a=a, or a=b results.
1 Day AlgebraNation.comSection 3: Video 1
Modeling and Solving Two-Step EquationsSolving Equations By Graphing Each SideSolving Two-Step Equations
Review and Assessment ContentMAFS.8.EE.3.7MAFS.8.EE.3.7aMAFS.8.EE.3.7b
Module 15 Quiz 1 Day
Unit 7 – Solving Equations and Systems of EquationsModule 16 – Solving Systems of Linear Equations
Start Date – 02/04/15End Date – 02/20/15 (2/16 – Schools closed)
Section Number and Topic Standards Learning Target Instructional Time Frame
Additional Resources
Lesson 16.1: Solving Systems of Linear Equations by Graphing
ContentMAFS.EE.3.8.a
PracticeMP.3.1
Understand that solutions to a system of two linear equations in two variables correspond to points of intersection of their graphs, because points of intersection satisfy both equations simultaneously.
2 Days AlgebraNation.comSection 7: Video 1
Solving Linear Systems (Slope-Intercept Form)
Lesson 16.2: Solving Systems by Substitution
ContentMAFS.EE.3.8.b
PracticeMP.6.1
Solve systems of two linear equations in two variables algebraically, and to estimate solutions by graphing the equations. Solve simple cases by inspection.
2 Days AlgebraNation.comSection 7: Video 3
Solving Linear Systems (Slope-Intercept Form)Solving Linear Systems (Standard Form)Solving Linear Systems (Matrices and Special Solutions)
Lesson 16.3: Solving Systems by Elimination
ContentMAFS.EE.3.8.bMAFS.EE.3.8.c
PracticeMP.1.1
Solve systems of two linear equations in two variables algebraically, and to estimate solutions by graphing the equations. Solve simple cases by inspection. Solve real-world and mathematical problems leading to two linear equations in two variables.
2 Days AlgebraNation.comSection 7: Video 4
Solving Linear Systems (Slope-Intercept Form)Solving Linear Systems (Standard Form)Solving Linear Systems (Matrices and Special Solutions)
Lesson 16.4: Solving Systems by Elimination with Multiplication
ContentMAFS.EE.3.8.bMAFS.EE.3.8.c
PracticeMP.1.1
Solve systems of two linear equations in two variables algebraically, and to estimate solutions by graphing the equations. Solve simple cases by inspection. Solve real-world and mathematical problems leading to two linear equations in two variables.
2 Days AlgebraNation.comSection 7: Video 5
Solving Linear Systems (Slope-Intercept Form)Solving Linear Systems (Standard Form)Solving Linear Systems (Matrices and Special Solutions)
Lesson 16.5: Solving special Systems ContentMAFS.EE.3.8.bMAFS.EE.3.8.c
PracticeMP.2.1
Solve systems of two linear equations in two variables algebraically, and to estimate solutions by graphing the equations. Solve simple cases by inspection. Solve real-world and mathematical problems leading to two linear equations in two variables.
1 Day Solving Linear Systems (Slope-Intercept Form)Solving Linear Systems (Standard Form)Solving Linear Systems (Matrices and Special Solutions)
Review and Assessment ContentMAFS.EE.3.8.aMAFS.EE.3.8.bMAFS.EE.3.8.c
Module 16 Quiz 1 Day
Review and Assessment ContentMAFS.8.EE.3.7MAFS.8.EE.3.7aMAFS.8.EE.3.7bMAFS.EE.3.8.aMAFS.EE.3.8.bMAFS.EE.3.8.c
Unit 7 ReviewUnit 7 Test
2 Days
Unit 8 – Transformational GeometryModule 17 – Transformations and Congruence
Start Date – 02/23/15 End Date – 03/06/15 (2/26 – Early release)
Module Number and Topic Standards Learning TargetInstructional Time Frame
Additional Resources
Lesson 17.1: Properties of Translations ContentMAFS.8.G.1.1MAFS.8.G.1.3
PracticeMP.6.1
Verify experimentally the properties of rotations, reflections, and translations.a. Lines are taken to lines, and line segments to line segments the same length.b. Angles are taken to angles of the same measure.c. Parallel lines are taken to parallel lines.Describe the effect of dilations, translations, rotations and reflections on two-dimensional figures using coordinates.
2 Days DilationsReflectionsRotations, Reflections and TranslationsTranslations
Lesson 17.2: Properties of Reflections ContentMAFS.8.G.1.1MAFS.8.G.1.3
PracticeMP.5.1
Verify experimentally the properties of rotations, reflections, and translations.a. Lines are taken to lines, and line segments to line segments the same length.b. Angles are taken to angles of the same measure.c. Parallel lines are taken to parallel lines.Describe the effect of dilations, translations, rotations and reflections on two-dimensional figures using coordinates.
2 Days ReflectionsRotations, Reflections and Translations
Lesson 17.3: Properties of Rotations ContentMAFS.8.G.1.1MAFS.8.G.1.3
PracticeMP.2.1
Verify experimentally the properties of rotations, reflections, and translations.a. Lines are taken to lines, and line segments to line segments the same length.b. Angles are taken to angles of the same measure.c. Parallel lines are taken to parallel lines.Describe the effect of dilations, translations, rotations and reflections on two-dimensional figures using coordinates.
2 Days Rotations, Reflections and Translations
Lesson 17.4: Algebraic Representations of Transformations
ContentMAFS.8.G.1.3
PracticeMP.3.1
Describe the effect of dilations, translations, rotations and reflections on two-dimensional figures using coordinates.
2 Days DilationsReflectionsRotations, Reflections and TranslationsTranslations
Lesson 17.5: Congruent Figures ContentMAFS.8.G.1.2
PracticeMP.6.1
Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations; given two congruent figures, describe a sequence that exhibits the congruence between them.
1 Day Rotations, Reflections and TranslationsTranslations
Review and Assessment ContentMAFS.8.G.1.1MAFS.8.G.1.2MAFS.8.G.1.3
Module 17 Quiz 1 Day
Unit 8 – Transformational GeometryModule 18 – Transformations and Similarity
Start Date – 03/09/15 End Date – 03/18/15
Module Number and Topic Standards Learning TargetInstructional Time Frame
Additional Resources
Lesson 18.1: Properties of Dilations ContentMAFS.8.G.1.4MAFS.8.G.1.3
PracticeMP.5.1
Understand that a two-dimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations, reflections, translations and dilations; given two similar two-dimensional figures, describe a sequence that exhibits the similarity between them.Describe the effect of dilations, translations, rotations and reflections on two-dimensional figures using coordinates.
2 Days Dilations
Lesson 18.2: Algebraic Representations of Dilations
ContentMAFS.8.G.1.3
PracticeMP.4.1
Describe the effect of dilations, translations, rotations and reflections on two-dimensional figures using coordinates.
2 Days DilationsTranslations
Lesson 18.3: Similar Figures ContentMAFS.8.G.1.4
PracticeMP.6.1
Understand that a two-dimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations, reflections, translations and dilations; given two similar two-dimensional figures, describe a sequence that exhibits the similarity between them.
1 Day DilationsReflectionsRotations, Reflections and TranslationsTranslations
Review and Assessment ContentMAFS.8.G.1.3MAFS.8.G.1.4
Module 18 Quiz 1 Day
Review and Assessment ContentMAFS.8.G.1.1MAFS.8.G.1.2MAFS.8.G.1.3MAFS.8.G.1.4
Unit 8 ReviewUnit 8 Test
2 Days
Unit 9 – Measurement GeometryModule 19 – Angle Relationships in Parallel Lines and Triangles
Start Date – 03/30/15 End Date – 04/07/15 (4/3 – Schools closed)
**Standardized Testing & Review from 04/08/15 through 04/24/15
Section Number and Topic Standards Learning Target Instructional Time Frame
Additional Resources
Lesson 19.1: Parallel Lines Cut by a Transversal
ContentMAFS.8.G.1.5
PracticeMP.6.1
Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles.
2 Days Triangle Angle Sum - Activity BSegment and Angle BisectorsSimilar Figures - Activity A
Lesson 19.2: Angle Theorems for Triangles
ContentMAFS.8.G.1.5MAFS.8.EE.3.7MAFS.8.EE.3.7b
PracticeMP.5.1
Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles.Solve linear equations in one variable.Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using he distributive property and collecting like terms.
1 Day Triangle Angle Sum - Activity BSegment and Angle BisectorsSimilar Figures - Activity A
Lesson 19.3: Angle-Angle Similarity ContentMAFS.8.G.1.5MAFS.8.EE.2.6MAFS.8.EE.3.7
PracticeMP.4.1
Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles.Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane; derive the equation y=mx for a line through the origin and the equation y=mx+b for a line intercepting the vertical axis at b.Solve linear equations in one variable.
2 Days Triangle Angle Sum - Activity BSegment and Angle BisectorsSimilar Figures - Activity A
Review and Assessment ContentMAFS.8.G.1.5MAFS.8.EE.2.6MAFS.8.EE.3.7MAFS.8.EE.3.7b
Module 19 Quiz 1 Day
Unit 9 – Measurement GeometryModule 20 – The Pythagorean Theorem
**Standardized Testing & Review from 04/08/15 through 04/24/15
Start Date – 04/27/15End Date – 05/05/15
Section Number and Topic Standards Learning TargetInstructional Time Frame
Additional Resources
Lesson 20.1: The Pythagorean Theorem ContentMAFS.8.G.2.7MAFS.8.G.2.6
PracticeMP.5.1
Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions.Explain a proof of the Pythagorean Theorem and its converse.
2 Days Distance Formula - Activity APythagorean Theorem - Activity BPythagorean Theorem with a Geoboard
Lesson 20.2: Converse of the Pythagorean Theorem
ContentMAFS.8.G.2.6
PracticeMP.7.1
Explain a proof of the Pythagorean Theorem and its converse.
2 Days Distance Formula - Activity APythagorean Theorem - Activity BPythagorean Theorem with a Geoboard
Lesson 20.3: Distance Between Two Points
ContentMAFS.8.G.2.8
PracticeMP.2.1
Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.
2 Days Distance Formula - Activity APoints in the Coordinate Plane - Activity APythagorean Theorem - Activity BPythagorean Theorem with a Geoboard
Review and Assessment ContentMAFS.8.G.2.6MAFS.8.G.2.7MAFS.8.G.2.8
Module 20 Quiz 1 Day
Unit 9 – Measurement GeometryModule 21 – Volume
Start Date – 05/06/15 End Date – 05/13/15
Section Number and Topic Standards Learning TargetInstructional Time Frame
Additional Resources
Lesson 21.1: Volume of Cylinders ContentMAFS.8.G.3.9
PracticeMP.3.1
Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.
1 Day Prisms and Cylinders - Activity A
Lesson 21.2: Volume of Cones ContentMAFS.8.G.3.9
PracticeMP.4.1
Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.
1 Day Pyramids and Cones - Activity B
Lesson 21.3: Volume of Spheres ContentMAFS.8.G.3.9
PracticeMP.6.1
Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.
1 Day Prisms and Cylinders - Activity APyramids and Cones - Activity B
Review and Assessment ContentMAFS.8.G.3.9
Module 21 Quiz 1 Day
Review and Assessment ContentMAFS.8.G.2.6MAFS.8.G.2.7MAFS.8.G.2.8MAFS.8.G.3.9
Unit 9 ReviewUnit 9 Test
2 Days
Unit 10 – Statistics: Bivariate DataModule 22 – Scatter Plots
Start Date – 05/14/15 End Date – 05/20/15
Section Number and Topic Standards Learning Target Instructional Time Frame
Additional Resources
Lesson 22.1: Scatter Plots and Association ContentMAFS.8.SP.1.1
PracticeMP.7.1
Construct and interpret scatter plots for bivariate measurement data to investigate patterns of association between two quantities. Describe patterns such as clustering, outliers, positive or negative association, linear association, and nonlinear association.
2 Day CorrelationFinding PatternsTrends in Scatter Plots
Lesson 22.2: Trend Lines and Predictions ContentMAFS.8.SP.1.3MAFS.8.SP.1.1MAFS.8.SP.1.2
PracticeMP.6.1
Use the equation of a linear model to solve problems in the context of bivariate measurement data, interpreting slope and intercept.Construct and interpret scatter plots for bivariate measurement data to investigate patterns of association between two quantities. Describe patterns such as clustering, outliers, positive or negative association, linear association, and nonlinear association.Know that straight lines are widely used to model relationships between two quantitative variables. For scatter plots that suggest a linear association, informally fit a straight line, and informally assess the model fit by judging the closeness of the data points to a line.
2 Day Least-Squares Best Fit LinesTrends in Scatter PlotsSolving Using Trend Lines
Review and Assessment ContentMAFS.8.SP.1.1MAFS.8.SP.1.2MAFS.8.SP.1.3
Module 22 Quiz 1 Day
Unit 10 – Statistics: Bivariate DataModule 23 – Two-Way Tables
Start Date – 05/21/15 End Date – 06/01/15 (5/25 – Schools closed)
Section Number and Topic Standards Learning Target Instructional Time Frame
Additional Resources
Lesson 23.1: Two-Way Frequency Tables ContentMAFS.8.SP.1.4
PracticeMP.6.1
Understand that patterns of association can also be seen in bivariate categorical data by displaying frequencies and relative frequencies in two-way table. Construct and interpret a two-way table…Use relative frequencies calculated in rows or columns to describe possible association between the variables.
2 Days
Lesson 23.2: Two-Way Relative Frequency Tables
ContentMAFS.8.SP.1.4
PracticeMP.8.1
Understand that patterns of association can also be seen in bivariate categorical data by displaying frequencies and relative frequencies in two-way table. Construct and interpret a two-way table…Use relative frequencies calculated in rows or columns to describe possible association between the variables.
2 Days
Review and Assessment ContentMAFS.8.SP.1.4
Module 23 Quiz 1 Day
Review and Assessment ContentMAFS.8.SP.1.1MAFS.8.SP.1.2MAFS.8.SP.1.3MAFS.8.SP.1.4
Unit 10 ReviewUnit 10 Test
2 Days