Things to Emphasize: GCF, LCM, and prime factorization Prime and composite numbers Distributive Property and factoring Order of Operations

Transcription

1 GCF, LCM, and prime factorization Prime and composite numbers Distributive Property and factoring Order of Operations 6 th Grade Unit 1 Prime Time (23 days) 6.NS.2 Fluently divide multi- digit numbers using the standard algorithm. 6.NS.4 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 with a common factor as a multiple of a sum of two whole numbers with no common factor. 6.EE.1 Write and evaluate numerical expressions involving whole- number exponents. Identify parts of an expression using mathematical terms. Inv 1 (all): Building on Factors and Multiples Inv 2 (all): Common Multiples and Common Factors Inv 3 (all): Searching for Factor Strings Inv 4 (all): Linking Multiplication and Division Coefficient Composite number Distributive Property Expanded form Factor Factor pair Factored form GCF LCM Order of Operations Prime factorization Prime number Product Quotient Sum Term Mathshell - LCM and GCF Unit Readiness Assessment 2 Check Ups 1 Partner Quiz 1 Unit Project 1 Unit Test 1 Unit Project 1 School Net Assessment - Named: 6 th Grade Prime Time (Code: PA4QU3KY)

2 6th Grade - Unit 2 Comparing Bits and Pieces (25 days) Things to Emphasize: Relationship between fractions, percents, and decimals Ratios and rates unit rate Benchmarks for percents Equivalence Negative numbers opposites, absolute value Inv 1 (all): Making Comparisons Inv 2 (all): Connecting Ratios and Rates Inv 3 (all): Extending the Number Line Inv 4 (4.1, 4.2): Working with Percents Absolute value Benchmarks Equivalent fractions Improper fractions Mixed number Opposites Percent Rate table Ratio Unit rate 6.RP.1 Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities. 6.RP.2 Understand the concept of a unit rate a/b associated with a ratio a:b and use rate language in the context of a ratio relationship. 6.RP.3 Use ratio and rate reasoning to solve real- world and mathematical problems. Make takes of equivalent ratios, solve unit rate problems, find percent of a quantity, use ratio reasoning to convert measurement units. 6.NS.5 Understand that positive and negative numbers are used together to describe quantities having opposite directions or values. 6.NS.6 Understand a rational number as a point on the number line. 6.NS.7 Understand ordering and absolute value of rational numbers. DPI - Lessons for Learning Bake Sale Brownies DPI - Lessons for Learning Paper Clip Comparisons Unit Readiness Assessment 2 Check Ups 1 Partner Quiz 1 Unit Test 1 Self Assessment 1 School Net Assessment - Named: 6 th Grade Comparing Bits and Pieces This unit is laying the foundation for work with fractions, decimals, percents, and negative numbers; they are not expected to add, subtract, multiply, or divide them in this unit, this will come in the next two units

3 Adding and subtracting fractions Multiplying fractions Dividing fractions Area models, visual fraction models, etc. to represent the operations 6th Grade - Unit 3 Let s Be Rational (20 days) 6.NS.1 Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions. 6.NS.2 Fluently divide multi- digit numbers using the standard algorithm. 6.NS.4 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. Pinch Cards Inv 1 (all): Extending Addition and Subtraction of Fractions Inv 2 (all): Building on Multiplication with Fractions Inv 3 (all but 3.3): Dividing with Fractions Algorithm Benchmark Number sentence Overestimate Reciprocal Underestimate Unit Readiness Assessment 2 Check Ups 1 Partner Quiz 1 Self Assessment 1 Unit Test 1 Unit Project 1 School Net Assessment - Named: 6 th Grade Let s Be Rational Allow students to represent these operations in multiple methods and acquire their own understanding of how to preform these operations before teaching them the algorithm Inv 4 (4.3): Wrapping Up the Operations

4 Adding and subtracting decimals Multiplying and dividing decimals Using percents in real life Inv 1 (all): Decimal Operations and Estimation Inv 2 (all): Adding and Subtracting Decimals Supplement: Multiplying and Dividing Decimals Inv 4 (all): Using Percents 6th Grade - Unit 4 Decimal Ops (23 days) Dividend Divisor Estimate Expanded form Factored form Percent Quotient Ratio Repeating decimal Terminating decimal Unit rate 6.RP.1 Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities. 6.RP.2 Understand the concept of a unit rate a/b associated with a ratio a:b and use rate language in the context of a ratio relationship. 6.RP.3 Use ratio and rate reasoning to solve real- world and mathematical problems. Make takes of equivalent ratios, solve unit rate problems, find percent of a quantity, use ratio reasoning to convert measurement units. 6.NS.1 Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions. 6.NS.2 Fluently divide multi- digit numbers using the standard algorithm. 6.NS.3 Fluently add, subtract, multiply, and divide multi- digit decimals using the standard algorithm for each operation. 6.EE.5 Understand solving an equation or inequality as a process of answering a question. Use substitution to determine if a number makes an equation or inequality true. Unit Readiness Assessment 2 Check Ups 1 Partner Quiz 1 Self Assessment 1 Unit Test 1 Unit Project 1 School Net Assessment - Named: 6 th Grade Decimal Ops Percents and decimals are one of the most applicable areas of math that our students will encounter on a regular basis make sure students can work with benchmark percents and find tips, discounts, tax, etc.

5 Area discover and apply Volume discover and apply Surface Area with nets Inv 1 (all): Extending and Building on Area and Perimeter Inv 2 (all but 2.4): Measuring Triangles Inv 3 (all but 3.3): Measuring Parallelograms Inv 4 (all): Measuring Surface Area and Volume 6th Grade - Unit 5 Covering and Surrounding (23 days) Area Base Face Height Net Parallelogram Perimeter Polygon Rectangular prisms Surface Area Trapezoid Triangle Volume 6.NS.8 Solve real- world and mathematical problems by graphing points in all four quadrants of the coordinate plane. 6.EE.4 Identify when two expressions are equivalent. 6.G.1- Find the area of right triangles, other triangles, special quadrilaterals and polygons by composing into rectangles or decomposing into triangles and other shapes. 6.G.2 Find the volume of right rectangular prism with fractional edge lengths by packing it with unit cubes of the appropriate unit fraction edge lengths and use this to show you can multiply to find volume. Apply the formulas V = lwh and V = bh to find volumes. 6.G.3 Draw polygons in the coordinate plane given coordinates for the vertices, find lengths between points. 6.G.4 Represent 3D figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures. DPI - Lessons for Learning Block Part- y Unit Readiness Assessment 2 Check Ups 1 Partner Quiz 1 Self Assessment 1 Unit Test 1 Unit Project 1 School Net Assessment - Named: 6 th Grade Covering and Surrounding The formulas for area, volume, and surface area should be last, students need to develop where these comes from, so when they forget the formula, they see the make up of the shape and can use their own understanding to get the answers

6 6th Grade - Unit 6 Variables and Patterns (26 days) Things to Emphasize: Relationship between variables, tables, and graphs Equivalent expressions Solving equations and inequalities Writing expressions and expressions and interpreting them 6.RP.3 Use ratio and rate reasoning to solve real- world and mathematical problems (equivalent ratios and unit rate). 6.NS.8 Solve real- world and mathematical problems by graphing points in all four quadrants of the coordinate plane. 6.EE.5 Understand solving an equation or inequality as a process of answering a question. Use substitution to determine whether a given number makes it true. 6.EE.7 Solve real- world and mathematical problems by writing and solving equations in the form of x + p = q and px=q (no negatives). 6.EE.8 Write an inequality of the form x>c or x<c to represent a constraint or condition in real- world or mathematical problem, has infinitely many solutions, and represent on number line. 6.EE.9 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. Inv 1 (all): Variables, Tables, and Graphs Inv 2 (all): Analyzing Relationships Among Variables Inv 3 (all): Relating Variables with Equations Inv 4 (all): Expressions, Equations, and Inequalities Average speed Coefficient Dependent Equation Equivalent Expression Independent Inequality Rate of change Solution Term Variable DPI - Lessons for Learning I ll Race You? Unit Readiness Assessment 2 Check Ups 1 Partner Quiz 1 Self Assessment 1 Unit Test 1 School Net Assessment - Named: 6 th Grade Variables and Patterns

7 Center: Mean and median Spread: IQR, range, MAD Box- and- whisker plots, histograms, line plots 6th Grade - Unit 7 Data About Us (20 days) 6.SP.1 Recognize a statistical question as one that anticipates variability in the data related to the question and accounts for it in the answers. 6.SP.2 Understand that a set of data collected to answer a statistical question has a distribution which can be described by it s center, spread, and overall shape. 6.SP.3 Recognize that a measure of center for a numerical data set summarizes all o fits values with a single number, while a measure of variation describes how its values vary with a single number. 6.SP.4 Display numerical data in plots on a number line, including dot plots, histograms, and box plots. 6.SP.5 Summarize numerical data sets in relation to their context (report # of observations, mean, median, IQR, MAD, variability and center) Inv 1 (all): What s in a Name? Organizing, Representing, and Describing Data Supp: Using the Mean Inv 3 (all): What s Your Favorite? Measuring Variability Inv 4 (4.1, 4.2): What Numbers Describe Us? Box- and- whisker Categorical data Distribution Histogram IQR MAD Mean Median Mode Numerical data Outlier Range Scale Variability DPI - Lessons for Learning How MAD are you? DPI - Lessons for Learning Shakespeare vs. Rowling Unit Readiness Assessment 2 Check Ups 1 Partner Quiz 1 Self- Assessment 1 Unit Test 1 Unit Project 1 School Net Assessment - Named: 6 th Grade Data About Us Have a focus on scale when creating these representations of data