6th Grade Math – New Utah Core BOOT Camp Day 1: Pre-Assess on Prerequisite Skills Multiplying whole numbers Multiplication facts (Peggy) Day 2 Multiplying whole numbers Day 3 Dividing Whole Numbers Day 4 Add/Subtract whole numbers Day 5 Prime/Composite Numbers Prime number sheet (Peggy) Extra Practice SF 3-4 Day 6 Factors/Multiples/Exponents Scientific Notation Using cubes (Peggy) Explicit Teaching Extra Practice SF 3-1 NUMBER SYSTEMS 1 -UNIT 2 Days 7 & 8 NS.2. Fluently divide multi-digit numbers using the standard algorithm. Days 9-12 NS.4 GCF, LCM Day 7 TASK (WIKI) Cartoon Frames (teacher tube)-modify having students draw representation. Super Teacher Worksheets Day 8 TASK (GO) Unlock the problem GO 1.1 Divide Multi-digit numbers Day 9 GO 1.2 Prime Factorization-teach explicitly Day 10 TASK (GO) 1.3 Unlock the problem-modification/visual representation TASK (CMP) Ferris Wheel- Prime Time, p. 38. GO 1.3 LCM Extra Practice SF 3-4 Day 11 TASK (WIKI) Basketball Tournament GO 1.4 GCF Extra Practice SF 3-3 Day 12 Enrichment Kick-off Video Go 1.5 Problem solving apply GCF Enrichment: (Wiki) Venus Lesson Day 15-18 NS.6. Understand a rational number as a point on the number line. Day NS.1. Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions NS.4 GCF, LCM Day 15-16: Pre-Assess Fraction Review: Strips, SF-manipulatives, 3-6, 3-7, 3-8, CMP/Bits 1 Equivalency-Ordering Simplifying Improper and Mixed Number Line Day 17 TASK: Fraction Benchmark (CMP-Bits 1, p. 42) Add decimals to the number line. GO 2.1 Fractions, Decimals & Percents (converting); include percents on practice. TASK/Application: SF p. 358/Activity Extra Practice SF 3-10, 7-2 Day 18 TASK: (Wiki) Stuffed with Pizza (http://schools.nyc.gov/NR/rdonlyres/D0A70F2D-1133-418C-B68F95E6D714F357/0/NYCDOEG5MathStuffedwithPizza_Final.pdf) Go 2.2 Comparing and Ordering Extra Practice SF 3-11 Day 19: Review add, and subtract fractions. CMP Bits 2, 2.2 (Adding and Subtracting) HW (CMP, Investigation 2) Extra Practice: SF 4-1, 4-2, 4-5, 4-6 Day 20 CMP Bits 2, 3.1 (Brownie pans) Day 11-14 NS.3. Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation. Bits 3 Inv. 1, 2, 3 TASK (GO) 2.3, p. 60, #19 (Mixed to Improper) GO 2.3 Multiplying Fractions Extra Practice: SF 5-1, 5-2, 5-4 Day 21 GO 2.4 Simplifying Factors (GCF) Multiplying Fractions with Pattern Blocks (Day 1 of Training) Day 22 TASK (Wiki) Fraction Lesson GO 2.5 Fraction Division (Collaborate on visual representation!) Extra Practice: SF 5-6, 5-7 Day 23 TASK (Wiki) Bike Path GO 2.6 Estimate Quotients Day 24 TASK (GO) Unlock the problem GO 2.7 Dividing Fractions Extra Practice: 5-6 Day 25 TASK (Wiki) Muffin Shop GO 2.8 Modeling Mixed Number Division Day 26 TASK (GO) Unlock the Problem Go 2.9 Divide Mixed Numbers & GO 2.10 HW Page Extra Practice: SF 5-7 Understanding Decimals (place value, ordering, rounding) SF 2-1,2-4 Day 1 TASK (GO) Unlock the Problem-modification (Puppy weighs 2.358 in March, if the puppy gains 1.08 lb/month for three months, how much will the puppy weigh?) TASK (GO) Example 1-modification (Hummingbird has a mass of 1.25 g., nickel weighs 5 g., what is the difference...visual representation.) Link to 100-frame, SF 2-5. GO 1.6 add/subtract decimals GO Math HW Extra Practice SF 2-5 Day 2 GO 1.7 Multiply Decimals-teach explicitly TASK (GO)-Unlock the Problem, p. 34. Day 3 Day 4 Resources: Day NS.5. Understand positive and negative numbers SF 8-1 NS.6.A Understand opposite numbers Day NS.6. Understand a rational number as a point on the number line. Bits 1 Inv. 1, 2, 3, 4, Bits 2 Inv. 1, 2, 3, 4 Bits 3 1, 2, 3, 4 SF 81, 8-11 NS.6.A Identify Opposites NS.7.A Rational numbers on a number line Day NS.7.b.c.d Understand ordering and absolute value of rational numbers. Bits 1 Inv. 1, 2, 3, 4 SF 8-2, 8-1 Extra Practice SF 2-6 GO 1.8 divide decimals with whole numbers TASK (GO)-Unlock the Problem, p. 38. Extra Practice SF 2-7 TASK (GO) 1.9 Unlock the problem-modification (She cycled 5.75 miles in1 .25 h. Use a visual representation.) GO 1.9 dividing decimals w/ decimals TASK (Wiki-Peggy) The Krave TASK (CMP Bits 3, 3.1) Decimal Situations Extra Practice SF 2-9 Culminating Activity: (Wiki-Peggy) Eating Out www.math-play.com/Fractions-Jeopardy/fractions-jeopardy.html Story Problems PowerPoint (Wiki) Sadlier Oxford Resources: http://www.sadlieroxford.com/math/ca/family.cfm?grade=6 Day Integers Foldable GO 3.1 Understand positive & negative number Day Day Day Guided Lesson (GO) 3.3 Rational numbers & the number line , include decimals, and decimals. GO 3.2 Compare and order integers GO 3.4 Compare and order rational numbers TASK (Wiki) 6.NS.5 & 6.NS.7 GO 3.5 Absolute Value GO 3.6 Comparing Absolute Value Day Day NS.6.C Putting rational numbers on number line and coordinate plane Day NS.8. Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane. Day Day G.3. Draw polygons in the coordinate plane given coordinates for the vertices Day GO 3.7 Rational numbers and the Coordinate Plane GO 3.8 Ordered Pair Relationships GO 3.9 Distance on the Coordinate Plane Enrichment Kick-off Video: Napoleon Dynamite GO 3.10 Problem Solving – the coordinate plane Enrichment: TASK (Wiki) NS6b Common Core Task GO 10.9 Figures on a Coordinate Plane Expressions and Equations Day EE.1. Write and evaluate numerical expressions involving whole-number exponents. Prime Time Inv. 4 SF 1-2 Day EE.2.a.b.c Write, read, and evaluate expressions in which letters stand for numbers. . SF 1-13 Day EE.6. Use variables to represent numbers and write expressions Day Day Day Day Day Day GO 7.1 Expressions involving exponents Extra Practice: SF 1-2 TASK (GO) Unlock the Problem GO 7.2 Order of operations to evaluate expressions involving exponents Extra Practice: SF 1-8 GO 7.3 Write Algebraic Expressions Discuss Variables GO 7.4 Identify parts of Expressions TASK (GO) Unlock the Problem (omit expression) GO 7.5 Evaluate Algebraic Expressions and Formulas TASK (Wiki) Lagoon GO 7.6 Use Algebraic Expressions Day EE.3 Apply the properties of operations to generate equivalent expressions SF 1-9 Day EE.4. Identify when two expressions are equivalent Day Day Day Day EE.5. Understand solving an equation or inequality as a process of answering a question Bits 2 Inv. 2, 3, 4 Bits 3 Inv. 1, 2, 3 Day Day EE.7. 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 Day Day EE.5. Understand solving an equation or inequality as a process of answering a question Bits 2 Inv. 2, 3, 4 Bits 3 Inv. 1, 2, 3 Day Day Day Day Day GO 7.7 Combining like terms Teach Distributive Property GO 7.8 Generate Equivalent Expressions GO 7.9 Identify Equivalent Expressions TASK (Wiki) Katie's Kennel GO 8.1 Solutions of Equations TASK (GO) Unlock the Problem. (Modification-how many trapezes did the circus buy?) GO 8.2 Write Equations Launch: Cup and tile separators GO 8.3 Model and solve addition equations GO 8.4 Solve addition and subtraction equations Extra Practice: SF, 1-14, 1-15 GO 8.5 Model and solve multiplication equations Extension for practice: incorporating addition and subtraction (Wiki) 8.5 Extension GO 8.6 Solve multiplication and division equations GO 8.7 Problem solving equations with fractions GO 8.8 Solutions of Inequalities GO 8.9 Write inequalities Day EE.8. Write an inequality of the form x > c or x < c to represent a constraint or condition in a realworld or mathematical problem. Day Day EE.9.Use variables to represent two quantities Day Day Day Day Day GO 8.10 Graph inequalities on a number line TASK (Wiki) Wicked at Lagoon GO 9.1 Independent and Dependant Variables (Collaborate) TASK (Wiki) Summer Job GO 9.2 Equations and Tables (NCTM Puzzle Book) Peggy's Function Chart & Spaghetti Graph Extra Practice: SF 12-6 TASK (GO) Unlock the Problem. (Modification: take out table and state 1 min. = 150 gallons.) GO 9.3 Problem Solving – Analyze Relationships GO 9.4 Graphing Relationship between two quantities GO 9.5 Equations and Graphs (translate) Geometry Day G.1. Find the area of right triangles, other triangles, special quadrilaterals, and polygons C & S Inv. 1, 2, 3, 4, 5 Day Day Day Day TASK (CMP) Coverings and Surroundings, p. 55-print 1/student GO 10.1 Area of Parallelogram Journal: Polygon Chart + statements TASK (CMP) C and S, p. 39, print 1/student GO 10.2 Explore relationship among Area of Triangles, Rectangles, and Parallelograms GO 10.3 Area of Triangle Extra Practice: SF 10-10 GO 10.4 Explore Area of Trapezoid and Parallelograms Resource: http://illuminations.nctm.org/LessonDetail.aspx?ID=L580 Day G.4. Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures. SF 10-14, 1015 Day Day Day Day Day Day Day Day Day Day G.2. Find the volume of a right rectangular prism with fractional edge lengths SF 10-16 G.4. Day Day Ratios and Proportional Reasoning GO 10.5 Find Area of Trapezoids TASK (Wiki) 10.6 Area G0 10.6 Area of Regular Polygon TASK (Wiki) Wacky Playhouse GO 10.7 Composite Figures (decomposing) Go 10.8 Effect of changing dimensions (area) TASK (GO) Unlock the Problem GO 11.1 Use Nets to represent 3D figures GO 11.2 Explore Surface Area using Nets Journal: Grid paper/net/surface area TASK (GO) Unlock the Problem. (Modification: use graph paper and don't show visual representation.) GO 11.3 Find Surface Area of Prisms TASK (Wiki) Khufu's Pyramid GO 11.4 Find Surface Area of Pyramids TASK-Resource: http://illuminations.nctm.org/ActivityDetail.aspx?ID=6 GO 11.5 Fractions and Volume. Students will develop formula for volume using website. GO 11.6 Volume of Rectangular Prisms TASK (GO) Unlock the Problem GO 11.7 Problem Solving – Geometric Measurements Day RP.1. Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities Bits 1 Inv. 4 C & S 1.1 & 1.2 GO 4.1 Model Ratios GO 4.2 Ratios and Rates Day RP.2. Understand the concept of a unit rate a/b associated with a ratio C & S 3 SF 6-3 RP.3.a.b Use ratio and rate reasoning to solve real-world and mathematical problems Bits 1 Inv. 3, 4 C & S 3 SF 6-3, 6-6, 7-6, 101, 10-2 GO 4.3 Equivalent Ratios and Multiplication Tables *Plot pairs of values on a coordinate plane GO 4.4 Problem Solving-Use Tables to Compare Ratios GO 4.5 Algebra- Use Equivalent Ratios GO 4.6 Find Unit Rates GO 4.7 Algebra- Use Unit Rates GO 4.8 Algebra- Equivalent Ratios and Graphs RP.3.c Use ratio and rate reasoning to solve real-world and mathematical problems Bits 1 Inv. 3, 4 C & S 3 SF 6-3, 6-6, 7-6, 101, 10-2 GO 5.1 Model Percents GO 5.2 Write percents as Fractions and Decimals GO 5.3 Write Fractions and Decimals as Percents GO 5.4 Percent of a Quantity GO 5.5 Problem Solving – Percents GO 5.6 Find the Whole from a Percent Day RP.3.d Units of Measure GO 6.1 Convert Units of Length GO 6.2 Convert Units of Capacity GO 6.3 Convert Units of Weight and Mass GO 6.4 Transform Units to solve problems GO 6.5 Problems Solving - Distance, Rate, and Time formulas Statistics and Probability Day 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. SP.5.b SP.2. Understand that a set of data collected to answer a statistical question has a distribution which can be described by its center, spread, and overall shape SP.3. Recognize that a measure of center for a numerical data set summarizes all of its values with single number, while a measure of variation describes how its values vary with a single number. SP.4. Display numerical data in plots on a number line, including dot plots, histograms, and box plots. SF 11-3 SP.5.a.b.c.d Summarize numerical data sets in relation to their context SF 11-2 GO 12.1 Recognize Statistical Questions GO 12.2 Describe Data Collection GO 12.3 Dot Plots and Frequency Tables GO 12.4 Histograms GO 13.2 Box Plots GO 12.5 Mean GO 12.6 Measure of Center: Mean, Median, Mode GO 12.7 Outliers GO 12.8 Problem Solving –Data Displays GO 13.1 Patterns in Data GO 13.3 Mean Absolute Deviation GO 13.4 Measures of Variability GO 13.5 Choose appropriate measure of center and variability GO 13.6 Apply Measures of Center and Variability GO 13.7 Describe Distribution GO 13.8 Problem Solving –Misleading Statistics