Unit 1 – Expressions, Equations, and Inequalities

Module 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 Target / Instructional Time Frame / Additional Resources
Lesson 1.1: Algebraic Expressions / Content
MAFS.7.EE.1.1
MAFS.7.EE.1.2
Practice
MP.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 / Content
MAFS.7.EE.2.4
MAFS.7.EE.2.4b
Practice
MP.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.com
Section 3: Video 1
Section 3: Video 2
Section 3: Video 3
Modeling and Solving Two-Step Equations
Solving Two-Step Equations
Solving Linear Inequalities in One Variable
Lesson 1.3: Writing Two-Step Equations / Content
MAFS.7.EE.2.4
Practice
MP.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 Day / Modeling and Solving Two-Step Equations
Lesson 1.4: Solving Two-Step Equations / Content
MAFS.7.EE.2.4
MAFS.7.EE.2.4a
Practice
MP.4.1 / Solve word problems leading to equations of the form px + q = r and p(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.com
Section 3: Video 1
Section 3: Video 2
Section 3: Video 3
Solving Two-Step Equations
Function Machines 3
Review and Assessment / Content
MAFS.7.EE.1.1
MAFS.7.EE.1.2
MAFS.7.EE.2.4
MAFS.7.EE.2.4b / Module 1 Quiz / 1 Day

Unit 1 - Expressions, Equations, and Inequalities

Module 2 – Inequalities

Start Date – 8/28/14

End Date – 9/8/14 (9/1 Schools closed)

Section Number and Topic / Standards / Learning Target / Instructional Time Frame / Additional Resources
Lesson 2.1: Writing and Solving One-Step Inequalities / Content
MAFS.7.EE.2.4b
MAFS.7.EE.2.4
Practice
MP.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.com
Section 3: Video 4
Solving Linear Inequalities in One Variable
Lesson 2.2: Writing Two-Step Inequalities / Content
MAFS.7.EE.2.4
Practice
MP.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 / Content
MAFS.7.EE.2.4b
Practice
MP.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.com
Section 3: Video 4
Linear Inequalities in Two Variables - Activity A
Review and Assessment / Content
MAFS.7.EE.2.4
MAFS.7.EE.2.4b / Module 2 Quiz / 1 Day
Review and Assessment / Content
MAFS.7.EE.1.1
MAFS.7.EE.1.2
MAFS.7.EE.2.4
MAFS.7.EE.2.4b / Unit 1 Review
Unit 1 Test / 2 Days

Unit 2 - Geometry

Module 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 / Content
MAFS.7.G.1.1
Practice
MP.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 / Content
MAFS.7.G.1.2
Practice
MP.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 / Content
MAFS.7.G.1.3
Practice
MP.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 / Content
MAFS.7.G.2.5
Practice
MP.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 B
Triangle Angle Sum - Activity B
Review and Assessment / Content
MAFS.7.G.1.1
MAFS.7.G.1.2
MAFS.7.G.1.3
MAFS.7.G.2.5 / Module 3 Review
Module 3 Quiz / 2 Days

Unit 2 - Geometry

Module 4 – Circumference, Area, and Volume

Start Date – 9/18/14

End Date – 9/30/14 (9/25 – Schools closed)

Section Number and Topic / Standards / Learning Target / Instructional Time Frame / Additional Resources
Lesson 4.1: Circumference / Content
MAFS.7.G.2.4
Practice
MP.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 / Content
MAFS.7.G.2.4
Practice
MP.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 / Content
MAFS.7.G.2.6
Practice
MP.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 Parallelograms
Prisms and Cylinders - Activity A
Lesson 4.4: Solving Surface Area Problems / Content
MAFS.7.G.2.6
Practice
MP.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 / Content
MAFS.7.G.2.6
Practice
MP.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 / Content
MAFS.7.G.2.4
MAFS.7.G.2.6 / Module 4 Quiz / 1 day
Review and Assessment / Content
MAFS.7.G.1.1
MAFS.7.G.1.2
MAFS.7.G.1.3
MAFS.7.G.2.5
MAFS.7.G.2.4
MAFS.7.G.2.6 / Unit 2 Review
Unit 2 Test / 2 days

Unit 3 – Statistics and Sampling

Module 5 – Random Samples and Populations

Start Date – 10/1/14

End Date – 10/6/14

Section Number and Topic / Standards / Learning Target / Instructional Time Frame / Additional Resources
Lesson 5.1: Populations and Samples / Content
MAFS.7.SP.1.1
Practice
MP.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 Samples
Lesson 5.2: Making Inferences From a Random Sample / Content
MAFS.7.SP.1.2
MAFS.7.SP.1.2c
MAFS.7.SP.1.1
Practice
MP.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 / Content
MAFS.7.SP.1.2
Practice
MP.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 / Content
MAFS.7.SP.1.1
MAFS.7.SP.1.2
MAFS.7.SP.1.2c / Module 5 Quiz / 1 day

Unit 3 - Statistics and Sampling

Module 6 – Analyzing and Comparing Data

Start Date – 10/7/14

End 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 / Content
MAFS.7.SP.2.4
MAFS.7.SP.2.3
Practice
MP.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 Mode
Movie Reviewer (Mean and Median)
Lesson 6.2: Comparing Data Displayed in Box Plots / Content
MAFS.7.SP.2.3
MAFS.7.SP.2.4
Practice
MP.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 / Content
MAFS.7.SP.2.3
MAFS.7.SP.2.4
Practice
MP.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 Mode
Movie Reviewer (Mean and Median)
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)
Review and Assessment / Content
MAFS.7.SP.2.3
MAFS.7.SP.2.4 / Module 6 Quiz / 1 day
Review and Assessment / Content
MAFS.7.SP.1.1
MAFS.7.SP.1.2
MAFS.7.SP.1.2c MAFS.7.SP.2.3
MAFS.7.SP.2.4 / Unit 3 Review
Unit 3 Test / 2 days

Unit 4 - Probability

Module 7 – Experimental Probability

Start Date – 10/16/14

End Date – 10/23/14 (10/23 – Early release)

Section Number and Topic / Standards / Learning Target / Instructional Time Frame / Additional Resources
Lesson 7.1: Probability / Content
MAFS.7.SP.3.5
MAFS.7.SP.3.7a
Practice
MP.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 / Content
MAFS.7.SP.3.6
MAFS.7.SP.3.7b
Practice
MP.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 / Content
MAFS.7.SP.3.8
MAFS.7.SP.3.8a
MAFS.7.SP.3.8b
MAFS.7.SP.3.8c
Practice
MP.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 / Content
MAFS.7.SP.3.6
Practice
MP.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 / Content
MAFS.7.SP.3.5
MAFS.7.SP.3.6
MAFS.7.SP.3.7a
MAFS.7.SP.3.7b
MAFS.7.SP.3.8
MAFS.7.SP.3.8a
MAFS.7.SP.3.8b
MAFS.7.SP.3.8c / Module 7 Quiz / 1 day

Unit 4 - Probability

Module 8 – Theoretical Probability and Simulations

Start Date – 10/27/14

End 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 / Content
MAFS.7.SP.3.7a
MAFS.7.SP.3.6
MAFS.7.SP.3.7
Practice
MP.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 / Content
MAFS.7.SP.3.8
MAFS.7.SP.3.8a
MAFS.7.SP.3.8b
Practice
MP.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 / Content
MAFS.7.SP.3.6
MAFS.7.SP.3.7a
Practice
MP.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 / Content
MAFS.7.SP.3.8c
MAFS.7.SP.3.8
Practice
MP.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 / Content
MAFS.7.SP.3.6
MAFS.7.SP.3.7
MAFS.7.SP.3.7a
MAFS.7.SP.3.8
MAFS.7.SP.3.8a
MAFS.7.SP.3.8b
MAFS.7.SP.3.8c / Module 8 Quiz / 1 day
Review and Assessment / Content
MAFS.7.SP.3.5
MAFS.7.SP.3.6
MAFS.7.SP.3.7a
MAFS.7.SP.3.7b
MAFS.7.SP.3.8
MAFS.7.SP.3.8a
MAFS.7.SP.3.8b
MAFS.7.SP.3.8c / Unit 4 Review
Unit 4 Test / 2 days

Unit 5 – Real Numbers, Exponents, and Scientific Notation