Home - ExploreLearning PD Blogpdblog.explorelearning.com/wp-content/uploads/2014/04/... · Web view1.2 Comparing and Ordering Integers Content MAFS.6.NS.3.7 MAFS.6.NS.3.7a MAFS.6.NS.3.7b

Unit 1 - NumbersModule 1 - Integers

Start Date – 8/18/14 End Date – 8/25/14 6 days

Section Number and Topic Standards Learning TargetInstructional Time Frame

Additional Resources

Beginning of The Year Diagnostic Test ContentMAFS.6.NS.3.5MAFS.6.NS.3.6MAFS.6.NS.3.6aMAFS.6.NS.3.6c

Diagnostic Test 1 Day Assessment

1.1 Identifying integers and their opposites

ContentMAFS.6.NS.3.5MAFS.6.NS.3.6MAFS.6.NS.3.6aMAFS.6.NS.3.6c

PracticeMP1MP2

Understand that positive and negative numbers are used together to describe quantities having opposite directions or values (e.g., temperature above/below zero, elevation above/below sea level, credits/debits, positive/negative electric charge); use positive and negative numbers to represent quantities in real-world contexts, explaining the meaning of 0 in each situation.

1 Day Number line bunny.ggb

Integers, Opposites, and Absolute ValuesRational Numbers, Opposites, and Absolute ValuesPoints in the Coordinate Plane - Activity B

1.2 Comparing and Ordering Integers ContentMAFS.6.NS.3.7MAFS.6.NS.3.7aMAFS.6.NS.3.7b

PracticeMP1MP2

Write, interpret, and explain statements of order for rational numbers in real-world contexts.

1 Day Integers, Opposites, and Absolute ValuesRational Numbers, Opposites, and Absolute ValuesPoints in the Coordinate Plane - Activity B

1.3 Absolute Value ContentMAFS.6.NS.3.7MAFS.6.NS.3.7cMAFS.6.NS.3.7d

PracticeMP1MP2

Understand the absolute value of a rational number as its distance from 0 on the number line; interpret absolute value as magnitude for a positive or negative quantity in a real-world situation.

1 Day Integers, Opposites, and Absolute ValuesRational Numbers, Opposites, and Absolute Values

Assessment ContentMAFS.6.NS.3.5MAFS.6.NS.3.6MAFS.6.NS.3.6aMAFS.6.NS.3.6c

Module 1 Quiz 1 Day

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Unit 1 - NumbersModule 2 – Factors and Multiples


Section Number and Topic Standards Learning TargetInstructional Time Frame


2.1 Greatest Common Factor ContentMAFS.6.NS.2.4

PracticeMP2

Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12. Use the distributive property to express a sum of two whole numbers 1–100 with a common factor as a multiple of a sum of two whole numbers with no common factor.

1 Day Factor Trees (Factoring Numbers)

Finding Factors with Area Models

2.2 Least Common Multiple ContentMAFS.6.NS.2.4

PracticeMP8

Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12. Use the distributive property to express a sum of two whole numbers 1–100 with a common factor as a multiple of a sum of two whole numbers with no common factor..

1 Day Factor Trees (Factoring Numbers)

Finding Factors with Area Models

Assessment ContentMAFS.6.NS.2.4

Module 2 Quiz 1 Day













Unit 1 - NumbersModule 3 – Rational Numbers


Section Number and Topic Standards Learning Target Instructional Time Frame


3.1 Classifying rational numbers ContentMAFS.6.NS.3.6

PracticeMP 3

Understand that positive and negative numbers are used together to describe quantities having opposite directions or values (e.g., temperature above/below zero, elevation above/below sea level, credits/debits, positive/negative electric charge); use positive and negative numbers to represent quantities in real-world contexts, explaining the meaning of 0 in each situation.

1 Day Number line bunny.ggb

Integers, Opposites, and Absolute ValuesRational Numbers, Opposites, and Absolute Values

3.2 Identifying Opposites and Absolute Value of Rational Numbers

ContentMAFS.6.NS.3.6MAFS.6.NS.3.6aMAFS.6.NS.3.6cMAFS.6.NS.3.7MAFS.6.NS.3.7c

PracticeMP4

Find and position integers and other rational numbers on a horizontal or vertical number line diagram; find and position pairs of integers and other rational numbers on a coordinate plane. Also 6.NS.3.6, 6.NS.3.6a, 6.NS.3.7, 6.NS.3.7c

1 Day Integers, Opposites, and Absolute ValuesRational Numbers, Opposites, and Absolute Values

3.3 Comparing and Ordering Rational Numbers

ContentMAFS.6.NS.3.7MAFS.6.NS.3.7aMAFS.6.NS.3.7b

PracticeMP4

Interpret statements of inequality as statements about the relative position of two numbers on a number line diagram. Also 6.NS.3.7, 6.NS.3.7b

2 Day Comparing and Ordering DecimalsModeling Fractions (Area Models)Integers, Opposites, and Absolute ValuesFraction, Decimal, Percent (Area and Grid Models)Ordering Percents, Fractions, and Decimals Greater Than 1

Assessment ContentMAFS.6.NS.3.6MAFS.6.NS.3.6aMAFS.6.NS.3.6bMAFS.6.NS.3.6cMAFS.6.NS.3.7MAFS.6.NS.3.7aMAFS.6.NS.3.7bMAFS.6.NS.3.7c

Module 3 Quiz 1 Day

Review and Assessment ContentMAFS.6.NS.2.4MAFS.6.NS.3.5MAFS.6.NS.3.6MAFS.6.NS.3.6aMAFS.6.NS.3.6cMAFS.6.NS.3.7MAFS.6.NS.3.7aMAFS.6.NS.3.7bMAFS.6.NS.3.7c

Unit 1 Test 2 Days























Unit 2 – Fractions and DecimalsModule 4 - Operations with Fractions




4.1 : Applying GCF and LCM to Fraction Operations

ContentMAFS.6.NS.2.4

PracticeMP1MP5

Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12. Use the distributive property to express a sum of two whole numbers 1–100 with a common factor as a multiple of a sum of two whole numbers with no common factor.

1 Day Factor Trees

4.2 : Dividing Fractions ContentMAFS.6.NS.1.1

PracticeMP1MP4

Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, e.g., by using visual fraction models and equations to represent the problem.

2 Days Dividing Fractions

4.3 : Dividing Mixed Numbers ContentMAFS.6.NS.1.1

PracticeMP1MP4


1 Day Dividing Mixed Numbers

4.4 : Solving Multistep Problems with Fractions and Mixed Numbers


PracticeMP.1


2 Days

Review and Assessment ContentMAFS.6.NS.1.1MAFS.6.NS.2.4

Module 4 Quiz 1 Day






Unit 2 - Fractions and DecimalsModule 5 – Operations with Decimals

Start Date – 9/18/14End Date – 10/3/14 10 Days



5.1 : Dividing Whole Numbers ContentMAFS.6.NS.2.2

PracticeMP6

Fluently divide multi-digit numbers using the standard algorithm.

1 Day

5.2 Adding and Subtracting Decimals ContentMAFS.6.NS.2.3PracticeMP

Fluently add, subtract, multiply, and divide multi-digitdecimals using the standard algorithm for each operation.

1 Day Adding Decimals (Base-10 Blocks)Subtracting Decimals (Base-10 Blocks)Sums and Differences with Decimals

5.3 : Multiplying Decimals ContentMAFS.6.NS.2.3

PracticeMP2

Fluently add, subtract, multiply and divide multi-digitdecimals using the standard algorithm for each operation.

1 Day Multiplying Decimals (Area Model)Multiplying with Decimals

5.4 Dividing Decimals ContentMAFS.6.NS.2.3

PracticeMP2

Fluently add, subtract, multiply and divide multi-digitdecimals using the standard algorithm for each operation.

2 Days

5.5 : Applying Operations with Rational Numbers


PracticeMP1

Fluently add, subtract, multiply, and divide multi-digitdecimals using the standard algorithm for each operation.

2 Days

Assessment ContentMAFS.6.NS.2.2MAFS.6.NS.2.3

Module 5 Quiz 1 Day Assessment

Review and Assessment ContentMAFS.6.NS.1.1MAFS.6.NS.2.2MAFS.6.NS.2.3MAFS.6.NS.2.4

Unit 2 Test 2 Days Assessment













Unit 3 – Ratios and RatesModule 6 – Representing Ratios and Rates

Start Date – 10/6/14End Date – 10/13/14 5 days



6.1 : Ratios ContentMAFS.6.RP.1.1MAFS.6.RP.1.3MAFS.6.RP.1.3a

Practice

MP4

Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities.

Use ratio and rate reasoning to solve real-world and mathematical problems, e.g. by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations.

Make tables of equivalent ratios relating quantities with whole-number measurements, find missing values in the table, and plot the pairs of values on the coordinate plane. Use tables to compare ratios.

1 Day Thinking Blocks

Part-to-part and Part-to-whole RatiosPolling: NeighborhoodBeam to Moon (Ratios and Proportions)

6.2 : Rates ContentMAFS.6.RP.1.2MAFS.6.RP.1.3MAFS.6.RP.1.3b

PracticeMP3

Understand the concept of a unit rate a/b associated with a ratio a:b with b ≠ 0, and use rate language in the context of a ratio relationship.


Solve unit rate problems including those involving unit pricing and constant speed.

1 Day Road Trip (Problem Solving)

6.3 : Using Ratios and Rates to Solve Problems

ContentMAFS.6.RP.1.3MAFS.6.RP.1.3a

PracticeMP6


Make tables of equivalent ratios relating quantities with whole-number measurements, find missing values in the table, and plot the pairs of values on the coordinate plane. Use tables to compare ratios.

2 DaysBeam to Moon (Ratios and Proportions)

Road Trip (Problem Solving)

Assessment ContentMAFS.6.RP.1.1MAFS.6.RP.1.2MAFS.6RP.1.3MAFS.6.RP.1.3aMAFS.6.RP.1.3b

Module 6 Quiz 1 Day Review and Assessment




http://www.explorelearning.com/index.cfm?method=cResource.dspView&ResourceID=98














http://www.mathplayground.com/tb_ratios/thinking_blocks_ratios.html

Unit 3 – Ratios and RatesModule 7 – Applying Ratios and Rates




7.1 : Ratios, Rates, Tables, and Graphs ContentMAFS.6.RP.1.3MAFS.6.RP.1.3aMAFS.6.RP.1.3b

PracticeMP4

Make tables of equivalent ratios relating quantities with whole-number measurements, find missing values in the tables, and plot the pairs of values on the coordinate plane. Use tables to compare ratios. Also 6.RP.1.3,6.RP.1.3b

2 Days

7.2 : Solving Problems with Proportions ContentMAFS.6.RP.1.3MAFS.6.RP.1.3b

PracticeMP7


Solve unit rate problems including those involving unit pricing and constant speed.

2 Days Beam to Moon

(Ratios and Proportions)

Percent of Change

7.3 : Converting within Measurement Systems

ContentMAFS.6.RP.1.3MAFS.6.RP.1.3d

PracticeMP4

Use ratio reasoning to convert measurement units;manipulate and transform units appropriately whenmultiplying or dividing quantities. Also 6.RP.1.3

2 Days Unit Conversions

7.4 : Converting Between Measurement Systems

ContentMAFS.6.RP.1.3MAFS.6.RP.1.3bMAFS.6.RP.1.3d

PracticeMP4

Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities. Also 6.RP.1.3, 6.RP.1.3b


Assessment ContentMAFS.6RP.1.3MAFS.6RP.1.3aMAFS.6.RP.1.3bMAFS.6.RP.1.3d











Unit 3 – Ratios and RatesModule 8 - Percent




8.1 : Understanding Percent ContentMAFS.6.RP.1.3c

PracticeMP2

Find a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity); solve problems involving finding the whole, given a part and the percent.

2 Days Percent of ChangePercents and Proportions

8.2 : Percents, Fractions, and Decimals ContentMAFS.6.RP.1.3

PracticeMP4

Use ratio and rate reasoning to solve real-world andmathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations.

1 Day

8.3 : Solving Percent Problems ContentMAFS.6.RP.1.3MAFS.6.RP.1.3c

PracticeMP4

Use ratio and rate reasoning to solve real-world andmathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations. Also 6.RP.1.3

2 Days Percent of ChangePercents and Proportions

Review and Assessment ContentMAFS.6RP.1.3MAFS.6RP.1.3c


Review and Assessment ContentMAFS.6RP.1.3MAFS.6RP.1.3aMAFS.6.RP.1.3bMAFS.6.RP.1.3cMAFS.6.RP.1.3d

Unit 3 Test 2 Days Review and Assessment









Unit 4 – Equations and ExpressionsModule 9 – Generating Equivalent Numerical Expressions




9.1 : Exponents ContentMAFS.6.EE.1.1

PracticeMP2

Write and evaluate numerical expressions involving whole-number exponents.

1 Day Order of Operations

9.2 : Prime Factorization ContentMAFS.6.EE.1.1

PracticeMP2


1 Day NLVMFactor Tree

Factor Trees (Factoring Numbers)

9.3 : Order of Operations ContentMAFS.6.EE.1.1

PracticeMP5


1 Days Order of Operations

Assessment ContentMAFS.6EE.1.1







http://nlvm.usu.edu/en/nav/frames_asid_202_g_3_t_2.html?from=category_g_3_t_2.html



Unit 4 – Equations and ExpressionsModule 10 – Generating Equivalent Algebraic Expressions




10.1 : Modeling and Writing Expressions ContentMAFS.6EE.1.2aMAFS.6EE.1.2bMAFS.6EE.1.4MAFS.6EE.2.6

PracticeMP2MP4

Write expressions that record operations with numbers and with letters standing for numbers.

Use variables to represent numbers and write expressions when solving a real-world or mathematical problem; understand that a variable can represent an unknown number, or, depending on the purpose at hand, any number in a specified set. Also 6.EE.1.2b, 6.EE.1.4

2 Days Order of Operations

Using Algebraic Equations

Using Algebraic Expressions

10.2 : Evaluating Expressions ContentMAFS.6EE.1.2b

PracticeMP6

Evaluate expressions at specific values of their variables. Include expressions that arise from formulas used in real-world problems. Perform arithmetic operations, including those involving whole-number exponents, in the conventional order when there are no parentheses to specify a particular order (Order of Operations).

1 Day Using Algebraic Equations

10.3 : Generating Equivalent Expressions ContentMAFS.6EE.1.2bMAFS.6EE.1.3MAFS.6EE.1.4

PracticeMP2MP4

Apply the properties of operations to generate equivalent expressions.

Identify parts of an expression using mathematical terms (sum, term, product, factor, quotient, coefficient); view one or more parts of an expression as a single entity.

Identify when two expressions are equivalent (i.e. when the two expressions name the same number regardless of which value is substituted into them).

2 Days NLVMAlgebra Tiles

Assessment ContentMAFS.6EE.1.2aMAFS.6EE.1.2bMAFS.6EE.1.3MAFS.6EE.1.4MAFS.6EE.2,6


Review and Assessment ContentMAFS.6EE.1.1MAFS.6EE.1.2aMAFS.6EE.1.2bMAFS.6EE.1.3MAFS.6EE.1.4MAFS.6EE.2,6


http://nlvm.usu.edu/en/nav/frames_asid_189_g_3_t_2.html?open=activities&from=category_g_3_t_2.html

http://nlvm.usu.edu/en/nav/frames_asid_189_g_3_t_2.html?open=activities&from=category_g_3_t_2.html












Unit 5 – Equations and InequalitiesModule 11 – Equations and Relationship




11.1 : Writing Equations to Represent Situations

ContentMAFS.6EE.2.5MAFS.6EE.2.6MAFS.6EE.2.7

PracticeMP4MP6

Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q, and x are all non-negative rational numbers. Also 6.EE.2.5, 6.EE.2.6

1 DayRoad Trip (Problem Solving)

11.2 : Addition and Subtraction Equations


PracticeMP2MP4MP6

Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all nonnegative rational numbers. Also 6.EE.2.5, 6.EE.2.6

1 Day NLVMAlgebra Balance Scale

11.3 : Multiplication and Division Equations


PracticeMP5

Understand solving an equation or inequality as a process of answering a question: which values from a specified set, if any, make the equation or inequality true? Use substitution to determine whether a given number in a specified set makes an equation or inequality true.

Use variables to represent numbers and write expressions when solving a real-world or mathematical problem; understand that a variable can represent an unknown number, or, depending on the purpose at hand, any number in a specified set.

Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q, and x are all non-negative rational numbers.

2 Days Road Trip (Problem Solving)

11.4 : Writing Inequalities ContentMAFS.6EE.2.5MAFS.6EE.2.6MAFS.6EE.2.8

PracticeMP2

Understand solving an equation or inequality as a process of answering a question: which values from a specified set, if any, make the equation or inequality true? Use substitution to determine whether a given number in a specified set makes an equation or inequality true.

Use variables to represent numbers and write expressions when solving a real-world or mathematical problem; understand that a variable can represent an unknown number, or, depending on the purpose at hand, any number in a specified set.

Write an inequality of the form x > c or x < c to represent a constraint or condition in a real-world or mathematical problem. Recognize that inequalities of the form x > c or x < c have infinitely many solutions; represent solutions of such inequalities on number line diagrams.

2 Days Compound Inequalities

Solving Linear Inequalities in One Variable

Assessment ContentMAFS.6EE.1.2aMAFS.6EE.1.2bMAFS.6EE.1.3MAFS.6EE.1.4MAFS.6EE.2,6










http://nlvm.usu.edu/en/nav/frames_asid_201_g_3_t_2.html?open=instructions&from=category_g_3_t_2.html

http://nlvm.usu.edu/en/nav/frames_asid_201_g_3_t_2.html?open=instructions&from=category_g_3_t_2.html




Unit 5 – Expressions and EquationsModule 12 – Relationships in Two Variables




12.1 : Graphing on the Coordinate Plane

ContentMAFS.6.NS.3.6MAFS.6.NS.3.6bMAFS.6.NS.3.6cMAFS.6.NS.3.8

PracticeMP2

Find and position integers and other rational numbers on a horizontal or vertical number line diagram; find and position pairs of integers and other rational numbers on a coordinate plane. Also 6.NS.3.6, 6.NS.3.6b, 6.NS.3.8

2 Days Coordinate Plane

City Tour (Coordinates)Points in the Coordinate Plane - Activity B

12.2 : Independent and Dependent Variables in Tables and Graphs

ContentMAFS.6.EE.3.9

PracticeMP4

Use variables to represent two quantities in a real-world problem that change in relationship to one another; write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable. Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation.

2 Days Growing Plants (data tab)

Graphing Skills

12.3 : Writing Equations from Tables ContentMAFS.6.EE.3.9

PracticeMP1MP6


2 Days Growing Plants (data tab)

Graphing Skills

12.4 : Representing Algebraic Relationships in Tables and Graphs

ContentMAFS.6.EE.3.9

PracticeMP4


2 Days Graphing SkillsDistance-Time Graphs

Assessment ContentMAFS.6.EE.1.1


Review and Assessment ContentMAFS.6EE.1.2aMAFS.6EE.1.2bMAFS.6EE.1.3MAFS.6EE.1.4MAFS.6EE.2.6MAFS.6NS.3.6MAFS.6N.3.6bMAFS.6NS.3.6cMAFS.6EE.3.8MAFS.6EE.3.9


















http://www.thatquiz.org/tq-7/math/points/

Unit 6 - GeometryModule 13 - Area and Polygons




13.1 : Area of Quadrilaterals ContentMAFS.6.G.1.1PracticeMP3

Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems.

2 Days Area of ParallelogramsFido's Flower Bed (Perimeter and Area)

13.2 : Area of Triangles ContentMAFS.6.G.1.1

PracticeMP2

Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems.

2 Days Area of Triangles

13.3 : Solving Area Equations ContentMAFS.6.G.1.1

PracticeMP1

Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems

2 Days Area of ParallelogramsFido's Flower Bed (Perimeter and Area)

Lesson 13.4 : Area of Polygons ContentMAFS.6.G.1.1

PracticeMP4

Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems

2 Days Fido's Flower Bed (Perimeter and Area)

Assessment ContentMAFS.6.G.1.1

















Unit 6 - GeometryModule 14 – Distance and Area in the Coordinate Plane




14.1 : Distance in the Coordinate Plane ContentMAFS.6NS.3.6bMAFS.6NS.3.8

PracticeMP3

Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane. Include use of coordinates and absolute value to find distances between points with the same first coordinate or the same second coordinate.

Understand signs of numbers in ordered pairs as indicating locations in quadrants of the coordinate plane; recognize that when two ordered pairs differ only by signs, the locations of the points are related by reflections across one or both axes.

3 Days City Tour (Coordinates)Points in the Coordinate Plane - Activity B

14.2 : Polygons in the Coordinate Plane ContentMAFS.6G.1.3PracticeMP2

Draw polygons in the coordinate plane given coordinates for the vertices: use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate. Apply these techniques in the context of solving real-world and mathematical problems.

3 Days Pythagorean Theorem with a Geoboard

Assessment ContentMAFS.6.G.1.3MAFS.6NS.3.6bMAFS.6NS.3.8










Unit 6 - GeometryModule 15 – Surface Area and Volume of Solids




15.1 : Nets and Surface Area ContentMAFS.6G.1.4PracticeMP6

Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures. Apply these techniques in the context of solving real-world and mathematical problems.

2 Days Surface and Lateral Area of Prisms and CylindersSurface and Lateral Area of Pyramids and Cones

15.2 : Volume of Rectangular Prisms ContentMAFS.6G.1.2

PracticeMP4

Find the volume of a right rectangular prism withfractional edge lengths by packing it with unit cubesof the appropriate unit fraction edge lengths, and show that the volume is the same as would be found by multiplying the edge lengths of the prism. Apply the formulas V = lwh and V = bh to find volumes of right rectangular prisms with fractional edge lengths in the context of solving real-world and mathematical problems.

2 Days Prisms and Cylinders - Activity A

15.3 : Solving Volume Equations ContentMAFS.6G.1.2MAFS.6EE.2.7

PracticeMP6

Understand signs of numbers in ordered pairs as indicating locations in quadrants of the coordinate plane; recognize that when two ordered pairs differ only by signs, the locations of the points are related by reflections across one or both axes.

Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes of the appropriate unit fraction edge lengths, and show that the volume is the same as would be found by multiplying the edge lengths of the prism. Apply the formulas V = lwh and V = bh to find volumes of right rectangular prisms with fractional edge lengths in the context of solving real-world and mathematical problems.

2 Days Balancing Blocks (Volume)Prisms and Cylinders - Activity A

Assessment ContentMAFS.6G.1.2MAFS.6G.1.4MAFS.6EE.2.7


Review and Assessment ContentMAFS.6.G.1.1MAFS.6G.1.2MAFS.6.G.1.3MAFS.6G.1.4MAFS.6EE.2.7MAFS.6NS.3.6bMAFS.6NS.3.8
















Unit 7 – Statistics and ProbabilityModule 16 – Displaying, Analyzing, and Summarizing Data




16.1 : Measures of Center ContentMAFS. 6SP.1.3MAFS. 6SP.2.5MAFS. 6SP.2.5aMAFS. 6SP.2.5bMAFS. 6SP.2.5cMAFS. 6SP.2.5d

PracticeMP4

Summarize numerical data sets in relation to their context. Also 6.SP.1.3, 6.SP.2.5a, 6.SP.2.5b, 6.SP.2.5c, 6.SP.2.5d

2 days Describing Data Using StatisticsMean, Median and ModeMovie Reviewer (Mean and Median)Reaction Time 1 (Graphs and Statistics)Reaction Time 2 (Graphs and Statistics)

16.2 : Mean Absolute Deviation ContentMAFS. 6SP.2.5c

PracticeMP5

Giving quantitative measures of center (median and/or mean) and variability (interquartile range and/or mean absolute deviation), as well as describing any overall pattern and striking deviations from the overall pattern with deference to the context in which the data were gathered.

2 days Real-Time Histogram

16.3 : Box Plots ContentMAFS. 6SP.2.4MAFS. 6SP.2.5c

PracticeMP2

Display numerical data in plots on a number line, including dot plots, histograms, and box plots. Also 6.SP.2.5c

2 days Box-and-Whisker Plots

16.4 : Dot Plots and Data Distribution

ContentMAFS. 6SP.1.1MAFS. 6SP.1.2MAFS. 6SP.2.5cMAFS. 6SP.2.5d

PracticeMP3

Display numerical data in plots on a number line, including dot plots, histograms, and box plots. Also 6.SP.1.1, 6.SP.1.2, 6.SP.2.5c, 6.SP.2.5d

2 days Describing Data Using StatisticsMean, Median and ModeMovie Reviewer (Mean and Median)Reaction Time 1 (Graphs and Statistics)

16.5 : Histograms MAFS. 6SP.2.4MAFS. 6SP.2.5

Display numerical data in plots on a number line, including dot plots, histograms, and box plots.

Summarize numerical data sets in relation to their context.

1 day Real-Time HistogramHistograms

Assessment ContentMAFS.6SP.1.1MAFS.6SP.1.2MAFS.6SP.2.4MAFS.6SP.2.5MAFS.6SP.2.5a,b,c,d


Review and Assessment ContentMAFS.6SP.1.1MAFS.6SP.1.2MAFS.6SP.2.4MAFS.6SP.2.5MAFS.6SP.2.5a,b,c,d






























Unit 8 - IntegersModule 17 - Name




17.1 : Adding Integers with the Same Sign

ContentMAFS.7NS.1.1MAFS.7NS.1.1bMAFS.7NS.1.1d

PracticeMP5

Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram

Understand p + q as the number located a distance |q| from p, in the positive or negative direction depending on whether q is positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses). Interpret sums of rational numbers by describing real-world contexts

Apply properties of operations as strategies to add and subtract rational numbers.

1 Day Adding on the Number LineAdding and Subtracting IntegersAdding and Subtracting Integers with Chips

17.2 : Adding Integers with Different Signs

ContentMAFS.7NS.1.1MAFS.7NS.1.1b

PracticeMP5

Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram

Understand p + q as the number located a distance |q| from p, in the positive or negative direction depending on whether q is positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses). Interpret sums of rational numbers by describing real-world contexts


17.3 : Subtracting Integers ContentMAFS.7NS.1.1MAFS.7NS.1.1c

PracticeMP2

Understand subtraction of rational numbers as adding the additive inverse, p - q = p + (–q). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts.

Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram.


17.4 : Applying Addition and Subtraction of Integers

ContentMAFS.7NS.1.1MAFS.7NS.1.1dMAFS.7NS.1.3MAFS.7EE.2.3

PracticeMP1

Solve real-world and mathematical problems involving the four operations with rational numbers. Also 7.NS.1.1, 7.NS.1.1d, 7.EE.2.3

1 Day

Assessment ContentMAFS.7NS.1.1MAFS.7NS.1.1bMAFS.7NS.1.1cMAFS.7NS.1.1dMAFS.7NS.1.3MAFS.7EE.2.3


























Unit 8 - IntegersModule 18 – Multiplying and Dividing Integers

Start Date – 3/30/15 4 DaysEnd Date – 4/2/15



18.1 : Multiplying Integers ContentMAFS.7NS.1.2a

PracticeMP2

Understand that multiplication is extended from fractions to rational numbers by requiring that operations continue to satisfy the properties of operations, particularly the distributive property, leading to products such as (-1) (-1) = 1 and the rules for multiplying signed numbers. Interpret products of rational numbers by describing real-world contexts.


18.2 : Dividing Integers ContentMAFS.7NS.1.2MAFS.7NS.1.2bMAFS.7NS.1.3

PracticeMP7

Apply and extend previous understanding of multiplication and division and fractions to multiply and divide rational numbers.

Understand that multiplication is extended from fractions to rational numbers by requiring that operations continue to satisfy the properties of operations, particularly the distributive property, leading to products such as (-1) (-1) = 1 and the rules for multiplying signed numbers. Interpret products of rational numbers by describing real-world contexts.

Solve real-world and mathematical problems involving the four operations with rational numbers.


18.3 : Applying Integer Operations ContentMAFS.7NS.1.1MAFS.7NS.1.2aMAFS.7NS.1.2cMAFS.7EE.2.3

PracticeMP4

Solve real-world and mathematical problems involving the four operations with rational numbers. Also 7.NS.1.2a, 7.NS.1.2c, 7.EE.2.3

1 Day

Assessment ContentMAFS.7NS.1.1MAFS.7NS.1.2aMAFS.7NS.1.2bMAFS.7NS.1.2cMAFS.7NS.1.3MAFS.7EE.2.3






Unit 8 - IntegersModule 19 – Rational Numbers




19.1 : Rational Numbers and Decimals

ContentMAFS.7NS.1.2bMAFS.7NS.1.2d

PracticeMP3

Convert a rational number to a decimal using long division; know that the decimal form of a rational number terminates in 0s or eventually repeats

Understand that integers can be divided, provided that the divisor is not zero, and every quotient of integers (with non-zero divisor) is a rational number. If p and q are integers, then -(p/q) = (-p)/q = p/(-q). Interpret quotients of rational numbers by describing real-world contexts.

2 Days

19.2 : Adding Rational Numbers ContentMAFS.7NS.1.1aMAFS.7NS.1.1bMAFS.7NS.1.1dMAFS.7NS.1.3PracticeMP2

Apply properties of operations as strategies to add and subtract rational numbers.Describe situations in which opposite quantities combine to make 0. Also 7.NS.1.1b, 7.NS.1.3

2 Days Adding and Subtracting Integers

19.3 : Subtracting Rational Numbers ContentMAFS.7NS.1.1MAFS.7NS.1.1c

PracticeMP2

Understand subtraction of rational numbers as adding the additive inverse, p - q = p + (-q). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts. Also 7.NS.1.1

1 Day Adding and Subtracting Integers

19.4 : Multiplying Rational Numbers ContentMAFS.7NS.1.2MAFS.7NS.1.2aMAFS.7NS.1.2c

PracticeMP2

Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers. Also 7.NS.1.2a, 7.NS.1.2c

2 Days Multiplying FractionsMultiplying Mixed Numbers

19.5 : Dividing Rational Numbers ContentMAFS.7NS.1.2MAFS.7NS.1.2bMAFS.7NS.1.2c

PracticeMP4

Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.

Understand that integers can be divided, provided that the divisor is not zero, and every quotient of integers (with non-zero divisor) is a rationa number. If p and q are integers, then -(p/q) = (-p)/q = p/(-q). Interpret quotients of rations numbers by describing real-world contexts.

Apply properties of operations as strategies to multiply and divide rations numbers.

2 Days Dividing FractionsDividing Mixed Numbers

19.6 : Applying Rational Number Operations

ContentMAFS. 7.EE.2.3MAFS.7NS1.3

PracticeMP1

Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies. Also 7.NS.1.3

2 Days

19.7 : Algebraic Expressions ContentMAFS. 7.EE.1.1MAFS. 7.EE.1.2

PracticeMP4

Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients. Also 7.EE.1.2

2 Days

Assessment ContentMAFS.7NS.1.1MAFS.7NS.1.2aMAFS.7NS.1.2bMAFS.7NS.1.2cMAFS.7NS.1.3MAFS.7EE.2.3

Module 19 Quiz 1 Days Review and Assessment

Review and Assessment ContentMAFS.7NS.1.1MAFS.7NS.1.1aMAFS.7NS.1.1bMAFS.7NS.1.1cMAFS.7NS.1.1dMAFS.7NS.1.2aMAFS.7NS.1.2bMAFS.7NS.1.2cMAFS.7NS.1.2dMAFS.7NS.1.3MAFS.7EE.2.3


















Unit 9 - RatesModule 20 – Rates and Proportionality




20.1 : Unit Rates ContentMAFS.7RP.1.1PracticeMP4

Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units.


20.2 : Constant Rates of Change ContentMAFS.7RP.1.2aMAFS.7RP.1.2bMAFS.7RP.1.2c

PracticeMP2

Recognize and represent proportional relationships between quantities.

Decide whether two quantities are in a proportional

relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin.

Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal

descriptions of proportional relationships. Also 7.RP.1.2c

3 Days Beam to Moon (Ratios and Proportions)Estimating Population SizeGeometric Probability - Activity APolling: Neighborhood

20.3 : Proportional Relationships and Graphs

ContentMAFS.7RP.1.2bMAFS.7RP.1.2bMAFS.7RP.1.2cMAFS.7RP.1.2d

PracticeMP4

Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin.

Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal

descriptions of proportional relationships. Also 7.RP.1.2c, 7.RP.1.2d

3 Days Beam to Moon (Ratios and Proportions)Estimating Population SizeGeometric Probability - Activity APolling: Neighborhood

Assessment ContentMAFS.7RP.1.1MAFS.7RP.1.2aMAFS.7RP.1.2bMAFS.7RP.1.2cMAFS.7RP.1.2d


























Unit 9 - RatesModule 21 - Proportions and Percent




21.1 : Percent Increase and Decrease

ContentMAFS.7RP.1.3

PracticeMP2

Use proportional relationships to solve multistep ratio and percent problems.

3 Days Percent of Change

21.2 : Rewriting Percent Expressions

ContentMAFS.7RP.1.2MAFS.7RP.1.3

PracticeMP5

Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related.

Use proportional relationships to solve multistep ratio and percent problems. Also 7.EE.2.3

2 DaysPercents and ProportionsPercent of Change

21.3 : Applications of Percent ContentMAFS.7RP.1.3MAFS.7EE.2.3

PracticeMP4

Use proportional relationships to solve multistep ratio and percent problems

Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies.

3 Days Percents and ProportionsPolling: NeighborhoodPercent of Change

Assessment ContentMAFS.7RP.1.1MAFS.7RP.1.2aMAFS.7RP.1.2bMAFS.7RP.1.2cMAFS.7RP.1.2d


Review and Assessment ContentMAFS.7RP.1.1MAFS.7RP.1.2aMAFS.7RP.1.2bMAFS.7RP.1.2cMAFS.7RP.1.2dMAFS.7RP.1.3MAFS.7EE.2.3














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Home - ExploreLearning PD Blogpdblog.explorelearning.com/wp-content/uploads/2014/04/... · Web view1.2 Comparing and Ordering Integers Content MAFS.6.NS.3.7 MAFS.6.NS.3.7a MAFS.6.NS.3.7b