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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
Unit 1 - NumbersModule 2 – Factors and Multiples
Start Date – 8/26/14 End Date – 8/28/14 3 days
Section Number and Topic Standards Learning TargetInstructional Time Frame
Additional Resources
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
Start Date – 8/29/14 End Date – 9/8/14 7 days
Section Number and Topic Standards Learning Target Instructional Time Frame
Additional Resources
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
Start Date – 9/9/14 End Date – 9/17/14 7 days
Section Number and Topic Standards Learning Target Instructional Time Frame
Additional Resources
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
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.
1 Day Dividing Mixed Numbers
4.4 : Solving Multistep Problems with Fractions and Mixed Numbers
ContentMAFS.6.NS.1.1
PracticeMP.1
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
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
Section Number and Topic Standards Learning Target Instructional Time Frame
Additional Resources
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
ContentMAFS.6.NS.2.3
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
Section Number and Topic Standards Learning Target Instructional Time Frame
Additional Resources
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.
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.
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
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.
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
Unit 3 – Ratios and RatesModule 7 – Applying Ratios and Rates
Start Date – 10/14/14 End Date – 10/28/14 9 days
Section Number and Topic Standards Learning Target Instructional Time Frame
Additional Resources
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
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.
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
2 Days Unit Conversions
Assessment ContentMAFS.6RP.1.3MAFS.6RP.1.3aMAFS.6.RP.1.3bMAFS.6.RP.1.3d
Module 7 Quiz 1 Day Review and Assessment
Unit 3 – Ratios and RatesModule 8 - Percent
Start Date – 10/29/14 End Date – 11/12/14 8 days
Section Number and Topic Standards Learning Target Instructional Time Frame
Additional Resources
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
Module 8 Quiz 1 Day Review and Assessment
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
Start Date – 11/13/14End Date – 11/18/14 4 days
Section Number and Topic Standards Learning Target Instructional Time Frame
Additional Resources
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
Write and evaluate numerical expressions involving whole-number exponents.
1 Day NLVMFactor Tree
Factor Trees (Factoring Numbers)
9.3 : Order of Operations ContentMAFS.6.EE.1.1
PracticeMP5
Write and evaluate numerical expressions involving whole-number exponents.
1 Days Order of Operations
Assessment ContentMAFS.6EE.1.1
Module 9 Quiz 1 Day Review and Assessment
Unit 4 – Equations and ExpressionsModule 10 – Generating Equivalent Algebraic Expressions
Start Date – 11/19/14End Date – 12/3/14 8 Days
Section Number and Topic Standards Learning Target Instructional Time Frame
Additional Resources
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
Module 9 Quiz 1 Day Review and Assessment
Review and Assessment ContentMAFS.6EE.1.1MAFS.6EE.1.2aMAFS.6EE.1.2bMAFS.6EE.1.3MAFS.6EE.1.4MAFS.6EE.2,6
Unit 4 Test 2 Days Review and Assessment
Unit 5 – Equations and InequalitiesModule 11 – Equations and Relationship
Start Date – 12/4/14End Date – 12/12/14 7 days
Section Number and Topic Standards Learning Target Instructional Time Frame
Additional Resources
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
ContentMAFS.6EE.2.5MAFS.6EE.2.6MAFS.6EE.2.7
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
ContentMAFS.6EE.2.5MAFS.6EE.2.6MAFS.6EE.2.7
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
Module 11 Quiz 1 Day Review and Assessment
Unit 5 – Expressions and EquationsModule 12 – Relationships in Two Variables
Start Date – 12/15/14End Date – 1/14/15 11 Days
Section Number and Topic Standards Learning Target Instructional Time Frame
Additional Resources
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
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
12.4 : Representing Algebraic Relationships 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 Graphing SkillsDistance-Time Graphs
Assessment ContentMAFS.6.EE.1.1
Module 12 Quiz 1 Day Review and Assessment
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
Unit 5 Test 2 Days Review and Assessment
Unit 6 - GeometryModule 13 - Area and Polygons
Start Date – 1/15/15End Date – 1/28/15 9 days
Section Number and Topic Standards Learning Target Instructional Time Frame
Additional Resources
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
Module 13 Quiz 1 Day Review and Assessment
Unit 6 - GeometryModule 14 – Distance and Area in the Coordinate Plane
Start Date – 1/29/15End Date – 2/6/15 7 days
Section Number and Topic Standards Learning Target Instructional Time Frame
Additional Resources
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
Module 14 Quiz 1 Day Review and Assessment
Unit 6 - GeometryModule 15 – Surface Area and Volume of Solids
Start Date – 2/9/15End Date – 2/20/15 9 days
Section Number and Topic Standards Learning Target Instructional Time Frame
Additional Resources
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
Module 15 Quiz 1 Day Review and Assessment
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 6 Test 2 Days Review and Assessment
Unit 7 – Statistics and ProbabilityModule 16 – Displaying, Analyzing, and Summarizing Data
Start Date – 2/23/15End Date – 3/11/15 12 Days
Section Number and Topic Standards Learning Target Instructional Time Frame
Additional Resources
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
Module 16 Quiz 1 Day Review and Assessment
Review and Assessment ContentMAFS.6SP.1.1MAFS.6SP.1.2MAFS.6SP.2.4MAFS.6SP.2.5MAFS.6SP.2.5a,b,c,d
Unit 7 Test 2 Days Review and Assessment
Unit 8 - IntegersModule 17 - Name
Start Date – 3/12/15End Date – 3/19/15 5 Days
Section Number and Topic Standards Learning Target Instructional Time Frame
Additional Resources
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
1 Day Adding on the Number LineAdding and Subtracting IntegersAdding and Subtracting Integers with Chips
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.
1 Day Adding on the Number LineAdding and Subtracting IntegersAdding and Subtracting Integers with Chips
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
Module 17 Quiz 1 Day Review and Assessment
Unit 8 - IntegersModule 18 – Multiplying and Dividing Integers
Start Date – 3/30/15 4 DaysEnd Date – 4/2/15
Section Number and Topic Standards Learning Target Instructional Time Frame
Additional Resources
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.
1 Day Order of Operations
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.
1 Day Order of Operations
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
Module 18 Quiz 1 Day Review and Assessment
Unit 8 - IntegersModule 19 – Rational Numbers
Start Date – 4/6/15End Date – 4/27/15 16 Days
Section Number and Topic Standards Learning Target Instructional Time Frame
Additional Resources
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 8 Test 2 Days Review and Assessment
Unit 9 - RatesModule 20 – Rates and Proportionality
Start Date – 4/28/15End Date – 5/8/15 9 Days
Section Number and Topic Standards Learning Target Instructional Time Frame
Additional Resources
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.
2 Days Unit Conversions
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
Module 20 Quiz 1 Day Review and Assessment
Unit 9 - RatesModule 21 - Proportions and Percent
Start Date – 5/11/15End Date – 5/26/15 11 Days
Section Number and Topic Standards Learning Target Instructional Time Frame
Additional Resources
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
Module 21 Quiz 1 Day Review and Assessment
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
Unit 9 Test 2 Days Review and Assessment
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