# Grade level: 6 Subject: Mathematics Words Important for This Unit

## Transcription

Grade level: 6 Subject: Mathematics Words Important for This Unit

Grade level: 6 Subject: Mathematics Unit #: 3 Words Important for This Unit Evaluate Equation substitution conjectures Expression Formula combine Expressions Subject Specific Words Term decompose Order of operations Common factor Distributive property Exponent Braces Input/output table Prime number Coefficient compose Associative property Common multiple Divisible Grouping symbols Parentheses Least common multiple variable Constant Identity property Commutative property Composite number Equivalent Brackets Greatest common factor Prime factorization Grade level: 6 Day 1 Topic Use Mathematical Language to Write Expressions Subject: Mathematics Key SLOs SLO #1 (CCSS 6.EE.2a, 6.EE.2b, MP #4) 2 3 4 Order of Operations SLO #2 (CCSS 6.EE.1 MP #4) Learning Objectives Write expressions that record operations with numbers and with letters standing for numbers. For example, express the calculation “Subtract y from 5” as 5 – y. 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. For example, describe the expression 2 (8 + 7) as a product of two factors; view (8 + 7) as both a single entity and a sum of two terms. Use the order of operations to solve numerical expressions. Use the order of operations (including grouping symbols and Unit #: 3 Essential Questions How can we use numbers and letters to describe what is happening in a given situation? Expressions Suggested Student Activities Small Group / Whole Group Stations Teacher Computer modeling with Station examples and Computer non-examples. Station Guided practice Computer with lead by Station teacher or by Writing students. Expressions Games Suggested Assessment Exit Tickets Quick Checks Google Forms Closure Activity Reflection of the day’s learning Computer Station Order of Operations Computer Station EngageNY!! enVisions Lesson 2.1 (2.1 Common Core Edition) Extra Practice for Identifying Parts of an Algebraic Expression Computer Station Does the order you make a sandwich matter? What does it mean to group things together? If multiplication Possible Resources EngageNY!! enVisions Lesson 2.3 Quick Check 2.3 *Grouping symbols (parentheses, Grade level: 6 Day Topic Subject: Mathematics Key SLOs 5 Evaluating Expressions SLO #3 (CCSS 6.EE.2c MP #4) 6 Learning Objectives Unit #: 3 Essential Questions exponents) to solve numerical expressions. Use the order of operations to write numerical expressions for given situations. is repeated addition, what does that make exponents? Evaluate expressions by substituting values for variables. (Real world situations of area, perimeter, volume etc.) Evaluate expressions using tables. What happens when your teacher is sick? Is there no school that day? Expressions Suggested Student Activities Small Group / Whole Group Stations Suggested Assessment Possible Resources brackets, and braces) Video Computer Station *Quiz: Order of Operations *Grouping Symbols Video *Day 2 Problems Computer Station (onestep) Computer Station (mulitstep) Quick Check 2.6 *Day 3 Problems EngageNY!! enVisions Lesson 2.6 EngageNY!! Why are rules important? Computer Station (word problems) Quick Check 2.6 Pan Balance for Expressions (Illuminations) 7 8 9 Using Expressions to Describe Patterns Identify missing numbers in a pattern. Write algebraic expressions to describe a pattern. Evaluating Expressions with Decimals Evaluate expressions with Do patterns help me learn faster? Computer Station Computer Station Computer Station (Visual Patterns wow!) Computer Station Computer Quick Check 2.7 (enVisions Lesson 1.3 – resource for exponents) EngageNY!! enVisions Lesson 2.7 Quick Check 3.8 EngageNY!! Grade level: 6 Day Topic Subject: Mathematics Key SLOs Learning Objectives Unit #: 3 Essential Questions whole numbers and decimals. 10 Equivalent Expressions SLO #4 (CCSS 6.EE.3, 6.NS.4) SLO #5 11 12 (CCSS 6.EE4 MP #3) Evaluate expressions with whole numbers and decimals (with grouping symbols or exponents.) Combine like terms in expressions. (include combining repeated multiplication as exponents) (include variables) How do we make groups with numbers? (ie evens/odds) KEY VOCAB – “term”, “constant” and “coefficient” Write equivalent expressions. (include combining repeated multiplication as exponents) (include variables) Would buying Just Dance from two different places make a difference? Expressions Suggested Student Activities Small Group / Whole Group Stations Station (decimals, fractions and mixed numbers included) Computer Station Computer Station (substitution with formulas) Computer Station (combining like terms) Computer Station (addition and subtraction) Computer Station (multiplication and division) Computer Station (id “term” “coefficient” and “monomial” Computer Station (area model) Computer Station Suggested Assessment Possible Resources enVisions Lesson 3.8 *Quiz: Evaluating Expressions *Quiz: Writing and Evaluating Expressions Grade level: 6 Day Topic Subject: Mathematics Key SLOs Properties of Operations 13 The Distributive Property 14 15 16 Problem Solving – Making A Table Least Common Multiple (LCM) 17 SLO #6 (CCSS 6.NS.4) Learning Objectives Unit #: 3 Essential Questions Identify properties of multiplication and addition and find equivalent expressions. What makes addition and multiplication special? Use the distributive property to evaluate numerical expressions. Compose and Decompose numbers in expressions using the distributive property and find equivalent expressions. Use the distributive property to evaluate algebraic expressions and find equivalent expressions. Make and use tables to solve word problems. If I distribute candy to the class who does that get distributed to? Find common multiples and the least common multiple (LCM) of a set of numbers. What is the simplest way to make a sandwich? Expressions Suggested Student Activities Small Group / Whole Group Stations Computer Station (commutative) Computer Station (associative) Computer Station (identity) Computer Station Suggested Assessment Quick Check 2.2 Possible Resources EngageNY!! enVisions Lesson 2.2 Quick Check 2.4 EngageNY!! enVisions Lesson 2.4 Computer Station Computer Station Computer Station Computer Station Quick Check 2.8 EngageNY!! Quick Check 7.2 enVisions Lesson 2.8 EngageNY!! enVisions Lesson 7.2 Grade level: 6 Day Topic Subject: Mathematics Key SLOs Expressions in Simplest Form Learning Objectives Unit #: 3 Essential Questions Factor expressions into simplest form. Use the distributive property. 18 Factor expressions into simplest form. Use the distributive property. 19 Prime Factorization Identify numbers and prime or composite. 20 Factor numbers into their prime factors. (applying SLO#5) 21 Problem Solving – Make and Test Conjectures If you put all my single parts together what does it compose? What are the simplest parts of your day? Make and test conjectures and then revise or reject them. 22 23 Using Mental Math SLO #4 Use mental math strategies and How would you add two items Expressions Suggested Student Activities Small Group / Whole Group Stations Computer Station (8th grade lesson that has to be simplified for 6th grade.) Computer Station (advanced lesson that should be simplified again.) Computer Station Suggested Assessment Possible Resources EngageNY!! enVisions Lesson 5.1 & 5.3 EngageNY!! enVisions Lesson 5.2 Computer Station Computer Station (also shown in unit 1) Computer Station (for younger aged kids but has great problem solving applications.) Computer Station Computer Station Quick Check 5.2 Quick Check 5.7 *Quiz: Factoring and Prime Factorization EngageNY!! enVisions Lesson 5.7 EngageNY!! Grade level: 6 Day Topic Subject: Mathematics Key SLOs (CCSS 6.EE.3, 6.NS.4) 24 Learning Objectives properties of operations to compute mentally. Decompose numbers in expressions using the distributive property to solve mentally. Apply using mental math to the real world. Decompose numbers in expressions using the distributive property to solve mentally. Unit #: 3 Essential Questions Expressions Suggested Student Activities Small Group / Whole Group Stations Suggested Assessment together quickly before paying at the store? Authentic Application: 1. Evaluating Expressions (Summer Job) 2. Formative Assessment 3. Number Tricks Unit Resources: Grade 6 Common Core Flipbook http://www.parcconline.org/sites/parcc/files/PARCCMCFMathematicsGRADE6_Nov2012V3_FINAL.pdf http://www.greateducators.com/Documents/Pages_from_6Grade_TBM.pdf http://learnzillion.com/common_core/math/6 Dan Meyers 3 Act Lessons - Amazing Video Lessons with Activities – lots of lessons for the year. Possible Resources enVisions Lesson 2.5 Computer Station (order of operations mentally) Computer Station Quick Check 2.5 *Quiz: Properties and Mental Math Day two activities. Grade level: 6 Subject: Mathematics Unit #: 3 Expressions Connected Math http://www.buzzmath.com/ http://www.ness.uk.com/maths/Guidance%20Documents/Teaching%20children%20to%20calculate%20mentally.pdf Gemdas, not Pemdas! http://illuminations.nctm.org/ActivityDetail.aspx?ID=216